diff --git "a/data/dm_maths/full_data/7210_11255.jsonl" "b/data/dm_maths/full_data/7210_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/7210_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 4038 divided by 82551?\nAnswer: 1346\/27517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, p: 6, n: 3, t: 1, i: 2}. Give prob of sequence tno.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 3*l - 16, -22*l + 21 = -3*r - 19*l. Let w(n) = n + 1. Let i(v) = v. What is r*i(m) + 6*w(m)?\nAnswer: m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 139\/(-15) + (-5)\/(-25). Let d = -26\/3 - u. Suppose 0 - 2\/5*b**2 + 2\/5*b**3 - 2\/5*b + d*b**4 = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c - 29. Let i be q(8). Suppose 9*r - 588 = i*r. Let h(v) = v**3 + v**2 - 5*v + 4. Calculate the remainder when r is divided by h(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 12*y**2 + 5*y**2 - 15*y**2. Let a(x) = -18*x**2. Determine a(v(k)).\nAnswer: -72*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4348 - 4343. Solve 1044*g - 3*k = 1047*g + 21, 2*g - 21 = z*k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -34*h**3 + 3?\nAnswer: -102*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8 + 1 + 3 - -4. Let n(d) = d**3 + d**2 + d + 111. Is n(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*x + 2 + 53*x**2 - 7*x + 0*x**3 - 7*x - x**3 + 5*x to g*x**3 + r*x + m + v*x**2 and give v.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -17. Suppose -w*n + 603 = -1785. List the prime factors of n.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 90 - 15. Let j be 10371590\/a + (-6)\/(-45). Let d = j - 338288. Round d to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*d + 26090 - 169365 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 7*v + 5. Let i be h(7). Suppose -3*r = -5*y + 2*r + 140, -y + 44 = -i*r. What is the greatest common divisor of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 5, -9, 28 in increasing order.\nAnswer: -9, -1, 3, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2085 by -695.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/199 or 1?\nAnswer: -6\/199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(4\/(20\/5)))\/1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 34650005 = -5*v, -5*v + 4*v - 3*i = -6930003. What is v rounded to the nearest one hundred thousand?\nAnswer: 6900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1466253591?\nAnswer: 3, 11, 44431927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 885?\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 260 - 203. What is the remainder when g is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1445453250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.602404823 to 1 decimal place.\nAnswer: 8.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m = 26*m + 6160. Let s = -24705\/8 - m. Let n = 32671\/8 + -4096. What is the common denominator of s and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*4\/(-56) - (-36)\/(-28)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 972, 7954, 26926, 63894, 124864, 215842, 342834?\n\"Answer: 1001*m**3 - 11*m**2 + 8*m - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*p - 33 = 0, -5*p + 6*p + 44 = 4*v. Calculate the remainder when v is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k = 24*k - 5184. Suppose 3*i = a + a - 576, 5*i = -3*a + k. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1126 - 1126. Let c(w) be the second derivative of 0 + 12*w + m*w**3 + 0*w**2 - 3\/4*w**4. Let f(p) = 2*p. Give f(c(s)).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41.21 + 75.21. What is the nearest to -4 in 6, x, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4 - 132*b**3 + 1492*b**2 - 6204*b + 4840.\nAnswer: 4*(b - 11)**2*(b - 10)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence phj when three letters picked without replacement from {h: 1, p: 1, t: 8, s: 5, j: 2}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**2 + 21*c - 3. Determine k(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2, 0, 1 in decreasing order.\nAnswer: 9, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -857 - -4283\/5. Which is the nearest to r? (a) -1\/3 (b) 2.4 (c) 1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 851156557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*f**5*n + 11*f**3*p + 2*f*n*p + 9*f*n + 70*n*p wrt f?\nAnswer: -560*f**3*n + 66*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49521)\/3884*(-2)\/(-3).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 75\/4? (a) -0.5 (b) -8 (c) 100 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q**4 + 2*q**4 + 2*q**3 + 4*q**3 - 4*q**3 + 3 to the form c*q**2 + y + m*q**3 + w*q**4 + b*q and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, -11, -99, -221, -377, -567?\nAnswer: -791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 577, 0, 46 in descending order.\nAnswer: 577, 46, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8934 and 275794069.\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -5*p**2 + 3*p - 3. Let s(h) = 3*h**2 + 3*h - 2. Let c be s(-2). Let l be z(c). Let j = -36 - l. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23279 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -25803.1 rounded to the nearest 100?\nAnswer: -25800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54738 is divided by 4970?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 2*v - 210 = 2*h, -5*v = 4*h - 269. Calculate the remainder when v is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10673393.\nAnswer: 31, 139, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.5754 weeks in milliseconds?\nAnswer: 59013601920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - o = 3*f - 25, -4*o - 3*f = 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aftttaattaaftfaft. What is prob of sequence ff?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -5*n**4\/8 + 197*n**3\/6 - 87*n**2 + 2. What is o(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31228 by -15614.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**5\/60 - 28*b**2. Let r(z) be the third derivative of z**5\/20 + 3*z**4\/4 - 151*z**2. Give r(h(x)).\nAnswer: 3*x**4 - 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/10)\/(((-3)\/(-1))\/51774). Let s = -68931\/8 + y. Find the common denominator of s and -93\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5472040 is divided by 94345.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 6*n - 6. Let s be t(-4). Let a be s - (2 - (-6 + -1)). Round a to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26783 = 7*r - 615. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*z - z = -24, 2*w - 12 = -4*z. Which is greater: w or -7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-5)*(14*(-21)\/(-441) - -6).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, c: 4, y: 5, p: 3}. Give prob of sequence bp.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*f**2 + f**3 + f - f + f**3 wrt f?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435486819.\nAnswer: 3, 47, 3088559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 7)*(-6 + 2*v - 14 - 1).\nAnswer: 18*v - 189","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 - 32 + 20 + 12.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 55f61f (base 16) in base 12?\nAnswer: 1a781bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-4\/3))\/(k\/(k*k**(-2\/11))*k))\/(k*k*k\/k**(7\/2))**(21\/4))**23 assuming k is positive.\nAnswer: k**(6739\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 570713130?\nAnswer: 2, 3, 5, 13, 487789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 10, 2, 1\/30, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*s**2 + 28*s**2 - 160*s + 45*s**2 - 8*s**2 + 42*s**2.\nAnswer: 93*s**2 - 160*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -2\/3, -2\/13, 11\/5?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(187)\/(sqrt(66)\/sqrt(6)) - (1 + sqrt(425))**2).\nAnswer: -423 - 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 - 130 = 29*s. Let p(t) = -t**2 + 7*t + 8. What is the lowest common multiple of p(6) and s + (-4 + -35)\/(-3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l**3 + l**2 + 7*l - 5. Let r = 10775 + -10772. Determine q(r).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/22 and -13\/435160.\nAnswer: 435160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**5\/60 - 13*r**4\/24 - 7*r**3\/6 + 2*r**2. Suppose -2*a - 2 = 2*g, 5*g + a + 16 = g. List the prime factors of b(g).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3801739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -39 and -91 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, n: 7}. Give prob of sequence nnu.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 1 - 4 + 1 + 1 + (1 - 1 - 2)*(-2 - 1 + 5))*(-137*a**2 + 32*a**2 - 10*a**2 - 62*a**2) to f*a + j*a**2 + n and give j.\nAnswer: 1239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1977238 and 1864.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 3 - 2. Let k = 6 + g. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96632927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1\/7, -1, -1.2, 1.15 in decreasing order.\nAnswer: 1.15, -1\/7, -0.4, -1, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 + -99?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, 43, -1, 1, 0 in descending order.\nAnswer: 43, 1, 0, -1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 345 and 158950?\nAnswer: 10967550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*2*(-1)\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 4*y**2 - 399*y - 2878. Give x(-8).\nAnswer: -454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 23 - 35. Let i = m - 40. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 + 37 - 37)*(-3*l**3 + l**3 + l**3).\nAnswer: 51*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j + 20. Let t be d(-8). Let f be 5\/(25\/23) - t\/10. Solve -4*n - 20 = 0, 0*l - 50 = f*l + 5*n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 435.5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2725*j = -2734*j + 18 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1680832404333 + -5\nAnswer: 1680832404328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -14. Let z = 2 + -2. Let k(d) = 2*d - 3*d + d**3 + z - 1. Determine k(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 10*n**2 - 30*n - 45. What is d(-9)?\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*(0 + sqrt(605))**2 - sqrt(605)) + -1.\nAnswer: -3029 - 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-66*17\/102)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 1, 319, 5, 4, -3832?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - (6066\/15)\/3. Let f = -133 - v. Let d = 66\/5 + -13. Which is the third smallest value? (a) d (b) f (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-15) - 0) + 81738\/45. What is the highest common factor of 8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-173320)\/(-12))\/5 + (-34)\/51. Suppose 11*h - 7*h - c = 2*t, 5*h - 2*t = 3608. Does 16 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + l - 6122, 0*c + c + 4*l = -1237. Let t = -4959\/4 - c. Calculate the common denominator of t and -23\/132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/13 - 256\/(-312)) + -1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 3. Suppose -9*y - 680 + 86 = 0. Let f = 85 + y. Solve 0 = -5*n - 3*s - f, -s - 11 - u = 4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 351 + -5. List the prime factors of t.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.98, 0.3, 1, -3\/8, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 615684624 divided by 4.\nAnswer: 153921156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**6\/420 - 23*p**5\/42 + 389*p**2 + p. Factor r(a).\nAnswer: -2*a**2*(a + 115)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18924, -19664, -20404, -21144?\nAnswer: -21884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 4:13 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -4*f**6\/15 + 23*f**3\/6 - 14*f. Find the second derivative of t(x) wrt x.\nAnswer: -96*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*y + 153*y + 17 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/5679464 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -99, -1, 32, -2\/11, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*a = -42*a + 6. Calculate the smallest common multiple of 5\/(-10)*12\/(-2) and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 d when two letters picked without replacement from accyadydayaa?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29986718*b**2 - 35663683*b?\nAnswer: -59973436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, e: 1, k: 2}. Give prob of picking 1 r and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 3*y + 26 - 5*y)*(2 + 1 - 6).\nAnswer: 27*y - 78","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250153 is divided by 362?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/13)\/b*(b*(b*b*b**8)\/b)\/b*b)\/(b*b*b**(1\/3))**16 assuming b is positive.\nAnswer: b**(-1111\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 354395258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -5\/453, -0.2, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2. Let s = -33 + 42. Let v be 0 + 10 - (-6 + s). Let k(z) = -v*z - z + 2*z - 2*z. What is k(i(j))?\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/14 and 95\/10158?\nAnswer: 71106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 190344 and 15862?\nAnswer: 190344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-5) - (-36)\/10. Suppose 0*g - 4 = -x*g. Suppose -a + g = -1. Solve -4*v - 3*j = 29, -15 = 7*j - a*j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 36582\/168 + (9\/(-2))\/3. Let b = n + -216. Sort -22, b, 1, -0.4 in ascending order.\nAnswer: -22, -0.4, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -1213*p**3 - p + 1168*p**3 + 1 - 2 + 3*p + 4*p**2. Let r = 23 + -10. Calculate the remainder when x(-1) is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*n - 48, 88*g = 83*g - 5*n + 125. Find the second derivative of -6*v**5 - 4*v + 443 - 457 + 4*v**5 - g*v**3 wrt v.\nAnswer: -40*v**3 - 162*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 271408 = -565628. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (162\/8)\/(121\/748). Let y = m + -125. Let d = 0.8 - -1.2. What is the nearest to 2\/5 in y, d, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 367979 to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 5*p**4 + 4 + 3*p**2 - 3*p**2 - 2*p**4 + 3*p**4 + 2*p**4 - 7*p**4 + (2 + 8*p - 2)*(4*p**3 - p**3 - 4*p**3).\nAnswer: -7*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5841 - -5946. Calculate the remainder when 3881 is divided by c.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 12*r - 21. Let q be m(-14). Suppose q = c + 3. Solve 0 = 5*h - 2*n + 14, 10 = -h - 0*n + c*n for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 964486862.\nAnswer: 964486860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 15209246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*l**3*s**3 + l**3*s**2 - 2*l**2*s**3 - 285*l*s**3 wrt l.\nAnswer: 216*l*s**3 + 6*l*s**2 - 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**3 - 9*c**2 + 5*c - 5. What are the prime factors of x(6)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2556*l**2 - 2176*l wrt l?\nAnswer: -5112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 6*d**2 + 8*d + 8. Let q(j) = 2*j**2 + 3*j + 3. Suppose -2*c = -1 + 17. Let p(v) = c*q(v) + 3*l(v). Let t(n) = 45*n. Give p(t(z)).\nAnswer: 4050*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -135, 1\/6, 0.8, -25?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a*k**3*s - 1347*a*k**3 - a*k**2 - 30*k**3*s - 4*k**3 - 14*k**2*s + 29941*k*s wrt k?\nAnswer: 12*a*s - 8082*a - 180*s - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56) - (sqrt(280)*1)\/sqrt(5))\/(sqrt(968)*3))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1961305378 to the nearest integer?\nAnswer: 44287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 + r**2 + 0 - 9 - r**2 to y*r**2 + q*r + i and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -0.2, 3\/10049?\nAnswer: 3\/10049","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 0*o**2 + 0*o - 4\/13*o**3 + 0 - 2\/13*o**4 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 9*b**5\/20 - 5*b**4\/12 + b**3\/6 + 5*b**2 - 8*b + 3. Find the second derivative of p(m) wrt m.\nAnswer: 54*m - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6 - 4)*(-73)\/(-2).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4867312?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a + 3*a + a + a - 3 + 3 + 0*a + 4*a - 2*a + (4 - 1 - 1)*(-4 + 4 + 2*a) + 0 + 0 + a + 11*a + 1 - 6*a + 2.\nAnswer: 14*a + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3593*x - 895*x - 925*x - 889*x - 888*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 14953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 43951.\nAnswer: 131853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 247 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/69 (b) -3 (c) -0.01 (d) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60538, 121840, 183134, 244414, 305674?\nAnswer: 366908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**3 + 1100 - 1100.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_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 the second smallest value in -105, -4\/5, 112?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**3 + 0*m**2 + 8*m**3 - 2*m**2 + m**2 wrt m?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/5, 0, 4, -3\/322, 14?\nAnswer: -3\/322","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 + -35.55. Let i = j - 34.45. Let s = i + 34.999954. Round s to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a milligram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*r + 2*v, 3*r + 23 = -2*v + 16 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8011355 plus 7623809?\nAnswer: 15635164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145244*t**2 - 1 - 2 + 3 - 145254*t**2.\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1584) + (sqrt(1584) + -1*sqrt(1584))*-2 + (1*(sqrt(1584) + -1))**2.\nAnswer: -12*sqrt(11) + 1585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126129902.\nAnswer: 2, 17, 3709703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -474 - -1317. What are the prime factors of x?\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2972953.\nAnswer: 97, 30649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 1748*n + 171168. Determine j(-98).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 570?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*g + 41*g - 30. Calculate the remainder when g is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10020 and 23779965.\nAnswer: 95119860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12592 or 1\/2?\nAnswer: 12592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7921048*d**4 - 2*d**2 + 1882737 wrt d.\nAnswer: 190105152*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*a**2*g + 223*a**2 - 6*a*g - 1994*a wrt a.\nAnswer: -56*g + 446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 8*d - 2*c = -142, 3*d - 89 = 2*c. Let b be (-4)\/(1*(-1)\/262). Calculate the remainder when (b\/(-16))\/(2\/(-4)) is divided by d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*w - 55*w = -30. Let o(r) = 2*r + 3*r**2 - 18 - r**w + 11 + 5. Let h be (1 - 3\/3) + 4. Calculate o(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 j when four letters picked without replacement from cjjjjjjjjcc.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000080966 to seven decimal places.\nAnswer: 0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -164*z - 30. What are the prime factors of g(-3)?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 - 16\/7 - 4*l - 2\/7*l**3.\nAnswer: -2*(l + 1)*(l + 2)*(l + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(12) + sqrt(12) + sqrt(300)*1) + 4*((sqrt(153)*-2)**2 + sqrt(153)).\nAnswer: 85*sqrt(17)\/7 + 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -40*n - 1. Suppose 48 = j - 4*p, -3*j + 0*p + 2*p + 104 = 0. Let d(s) = 30*s**2 - 5*s + 5*s - j*s**2. What is d(o(u))?\nAnswer: -3200*u**2 - 160*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4018*a**2 + a**3 + 3*a - 24*a**4 - 5*a + 2*a - 3994*a**2 - a**5 = 0. What is a?\nAnswer: -24, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-3\/7)*t**(-3\/2)*t)**(-1\/10))**(-13) assuming t is positive.\nAnswer: t**(39\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -4909*d**6\/6 - 3793*d**3\/3 + 2066. Find the third derivative of t(k) wrt k.\nAnswer: -294540*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, 15, -1.5, -28, 1?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 104695, 104702, 104709, 104716?\n\"Answer: 7*m + 104688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*p**3 + 2*p**5 - 2*p**2 + 78 - 38 - 38 wrt p.\nAnswer: 120*p**2 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1177911 less than 3.93?\nAnswer: -1177907.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4812994 is divided by 401080.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.932 + 0.868. Suppose 0 = 5*g, -2*k - 5*g + 20 = 2*k. Which is the closest to -1\/3? (a) k (b) 4 (c) m (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of 25*k**5\/3 - k**4\/12 + 1627*k**3\/6 - 2365*k**2. What is the derivative of l(t) wrt t?\nAnswer: 1000*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-6 + 7 - 1\/3). Which is the biggest value? (a) -2 (b) y (c) -1 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27045 is divided by 196?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 213765256.\nAnswer: 2, 193, 138449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 5:01 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 37763 to the power of 1\/2, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/1 + (3 - 2). Let d be 6\/18 - o\/(-6). Find j, given that 2\/3 + 4\/3*j + d*j**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g**2 - 2. Let l(h) = h**2 - 4*h - 7. Let a be (-2)\/(-10) + (-72)\/(-15). Let j be l(a). What is the remainder when 29 is divided by r(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -6*u**2 - 59*u - 37. Determine q(-12).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**2)\/s)\/s)**(20\/7)\/(s\/(s*s**(-2\/5)*s)*s)**(3\/43) assuming s is positive.\nAnswer: s**(4258\/1505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18125 + 18165. What is the greatest common divisor of 315 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 278810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 471179 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 2687226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 6:57 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*y**4 + 22*y**4 + 15*y**4)*(-y + 3*y + 4*y).\nAnswer: 294*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -370 - -363 - (17 + 1 + 2 + -5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50*x - 27*x + 11*x to the form a + s*x and give s.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -79*d**4 - 1279 + 3*d**2 + d**2 + 1272 wrt d.\nAnswer: -1896*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**5 + 648*o**4 + 35634*o**3 + 69336*o**2 + 34347*o = 0?\nAnswer: -107, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210200 (base 3) to base 10.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 32*w**2. Let n(v) = v**2. Let h(a) = -4*k(a) + 144*n(a). Suppose 29*s = -4*s + 16104. Let j(x) = -3 + s*x**2 - 2 - 485*x**2 + 5. What is h(j(m))?\nAnswer: 144*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*b - 12, b + 2*b - 3*h = 0. Let z(f) = f**2. Let m be z(-1). Let r be b\/(-4) - m\/(-2). Put r, 4, -4 in descending order.\nAnswer: 4, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 23569 = 23548. Sort 59, 5, -1, d in increasing order.\nAnswer: d, -1, 5, 59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -889, -2, -1, -5 in decreasing order.\nAnswer: -1, -2, -5, -889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1351*z = 1819 + 6287 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 201000?\nAnswer: 201010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*t = -i - 436, 5*t + 323 = -3*i. Let s = 111 + i. Calculate the remainder when (s + (-12)\/9)\/((-8)\/60) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 e when four letters picked without replacement from {u: 7, e: 1, z: 6}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1437 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 10, f: 2, r: 4, q: 3}. What is prob of picking 2 q and 1 r?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 6:59 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, -4\/7, 10 in increasing order.\nAnswer: -7, -4\/7, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -28*((-36)\/(-16))\/(-9). Suppose -l*h + 108 + 620 = 0. Suppose 52 = 2*y - h. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1043)\/1490*15\/14)\/((-69)\/1).\nAnswer: 1\/92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -19, -19, -23, -31, -43, -59?\n\"Answer: -2*d**2 + 6*d - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2128 divided by 1064?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 71*r*s**3 + 42*s**3 + 1 wrt r.\nAnswer: 71*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 11*d + 48 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0*f + 48 = 0. Let p be (2562\/f)\/((-2)\/(-4)). Let i = p + -278. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -7 + -4 + -2 - -3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 28.4, 5, 4\/7, -4, 2\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 0 + 1\/3*w**3 + 0*w**2 - 4*w. List the prime factors of x(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7136924 or -7136920?\nAnswer: -7136920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**3 + 40*z**3 - 101*z**3.\nAnswer: -67*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 14. Let u(t) = -t**2 + 4*t + 4. Let k be u(y). Determine g, given that -4\/11*g**3 + 2\/11*g + 2\/11*g**k + 2\/11*g**5 + 2\/11 - 4\/11*g**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27.4 + 13.5. Let z = x - -13.809. What is z rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6306 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 13\/1711?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/57871 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 11*r - 4. Let f(l) = 4*l**2. Let n be f(1). Let k = 7 - n. Let z be q(k). Solve 5*m + z = 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -133.784 + 134. Let d = n + -0.2160492. Round d to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 2.97. Let i = 0.03 - t. Suppose -4*f - 1 = 3. Sort i, f, -2\/11 in decreasing order.\nAnswer: i, -2\/11, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 4. Let x be m(-2). Solve -6 = 5*h - x*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00046873436 rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - j - 46 = 0, -57*j + 35 = 2*k - 62*j. Solve -5*i - 4*x - 20 = -2*i, -4*i + 3*x = -k for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/6*(-300)\/(-20). Let x be (1 - -6)*2*(-5)\/q. Which is greater: x or -9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33085 to the power of 1\/2, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5789 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*f = 32*f + 174. Suppose f = 2*t - 54. Round t to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -54. What is the remainder when r is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 11, p: 2, a: 2}. What is prob of sequence pc?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 4*l + 3. Suppose 2*t = -0*t - 4. Calculate h(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -2*n - 63, 174*n - 408*n - 4*l - 28 = -250*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40097 is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i**7*i)\/i))\/i**(-5)*i**(-1\/8)*i*i**(-4)*i)**(-46) assuming i is positive.\nAnswer: i**(575\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -6*b + 1. Let k be (2 - 1)\/(-3 - -2). Let y = 167 - 157. Calculate the least common multiple of w(k) and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 2:58 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 57, 5, -18, 0 in decreasing order.\nAnswer: 57, 5, 3, 0, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {v: 1, j: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 19\/3 - 8\/(-12). Let a = b - 4. Solve 14 = 2*u + 2*w, -w + 13 = u + a*w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 11*i - 9. Let o be r(-8). Suppose -2*p + 38 = 8. What is the highest common factor of p and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1434152 to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -190a070 (base 12) to base 2.\nAnswer: -10011111111111111010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ir when two letters picked without replacement from wdirwriiiddidrinio?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/11)*m*m\/m**25*(m\/m**(-1\/2))\/m**(-20) assuming m is positive.\nAnswer: m**(-29\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 229*q**2 + 109*q - 776787 wrt q?\nAnswer: 458*q + 109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 4*t = 22, 0 = -137290*k + 137282*k - 3*t + 34 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q + 43*q = -53*q + 866760. What are the prime factors of q?\nAnswer: 31, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 539 - 541. Does 149\/8 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 q when three letters picked without replacement from {q: 2, s: 11, i: 1, h: 2}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -44*a + 103. Let t be l(-27). Suppose -2*i + 653 = -2*v + 3*v, 4*i - t = 3*v. What is the remainder when i is divided by 82?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 r, and 1 z when four letters picked without replacement from urrguuzuz?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 230.27331 + -230.3. Round n to three decimal places.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 194 + -0.8034\nAnswer: 193.1966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 10032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**2 - 2*t - 3. Let w(a) = -11*a**2 + 6*a + 8. Let c be 4\/(-14) + (-4)\/(-14). Suppose c*n - 3*n = -18. Let d = n - -2. Calculate d*b(q) + 3*w(q).\nAnswer: -q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 8*f + 102. Let j = f + -84. Calculate the remainder when j is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-196)\/28*(-896)\/(-5488)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9655829 to the nearest integer?\nAnswer: 3107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 2*b = 3*b - 225, -5*b + 115 = 2*n. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, d: 3, p: 4, w: 1}. Give prob of sequence pd.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4*l + 3)*(0*l**2 + 4*l**2 + 0*l**2).\nAnswer: -16*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*n - 17 = 2*o, 13 = 2*o + 5*n. Let w(k) be the third derivative of -k**4\/2 - k**3\/6 + 2*k**2. What is the tens digit of w(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 520379.070000032 - 520377.98. Let a = u - 1.09. What is a rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*b**3 + 1890*b - 1890*b - 2 + 2.\nAnswer: 43*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventy-seven fifths of a kilogram?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22856 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 l when four letters picked without replacement from {p: 6, l: 13}?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 350 = -18*z. Let a be 2\/(-14)*2 - (-15)\/z. What is the closest to a in -1, 2, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*l + 5*h = 69*l + 1380656, -4*l = h - 5522757. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -29*v**6\/40 - v**5\/60 - 5*v**4\/8 + 8683*v**3\/6 + 6*v**2 - 8*v - 3. Differentiate m(d) with respect to d.\nAnswer: -261*d**2 - 2*d - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12028 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (22\/(-99))\/((-12)\/9). Let o(u) be the third derivative of 1\/30*u**5 + 2*u**2 + 0*u - 1\/60*u**6 + 0*u**3 + n*u**4 + 0. Solve o(i) = 0 for i.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 32*f**2 - 4 + 18*f**2 - 7 + 5.\nAnswer: -14*f**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {e: 7, b: 4, l: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 318 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*m = 2125, -5*m + 417 + 958 = 2*k. Is 35 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, t: 1, s: 3, q: 1, v: 2, f: 2}. Give prob of picking 2 s.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 1151*t**4\/4 - 2*t**3\/3 + 845*t**2 + 2*t + 307. Find the third derivative of g(j) wrt j.\nAnswer: 6906","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-54)\/60)\/(-3))\/(24\/(-16))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*(p**1*p*p)\/p)\/p**(-14))\/(p**(-1\/4))**6)**(13\/4) assuming p is positive.\nAnswer: p**(507\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 15\/1064?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/(sqrt(2)*-1))\/sqrt(3) + 3)**2.\nAnswer: -6*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*1 + sqrt(19) + 0 + -5.\nAnswer: -5 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1476156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 5 (c) -0.4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h - 37 - 51 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*n**3 + 588*n + 60213?\nAnswer: 9*n**2 + 588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 8281*c + 1507140. What is k(-182)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-40)\/(-3) - 1\/3. Suppose -84 = 5*j + 2*f + f, 3*f - 51 = 4*j. Let r be 121 - (j\/(-5) + 1). Calculate the greatest common factor of p and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + v + 0 = -9, -c - 4*v = -8. Let h be c\/18*-3*(-75)\/(-40). What is the nearest to 2\/3 in h, 3, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 - 58. Solve 2*p + w + 1 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3688 less than 3691?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 5) to base 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and 2264610.\nAnswer: -1811688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36705?\nAnswer: 3, 5, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o + 3*o + 2*o + 228*o**2.\nAnswer: 228*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7, -8, 5, 44, 121, 248, 437?\n\"Answer: 2*x**3 - 5*x**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 132140 + -2509835\/19. Let p = 7439\/114 - y. What is the common denominator of -89\/2 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 3*h - 0*h + 33, 2*h + 38 = 2*n. Suppose 4*z - 24 = -0. Let q = 0 + z. What is the highest common divisor of n and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-56)\/35 + 2\/(-5). What is the second smallest value in x, 4, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*c*h**2*i - 3*c*h*i - 11296*c*h + 5*h**2*i + h**2 - 384*h*i + 2*h + 4*i with respect to c.\nAnswer: -4*h**2*i - 3*h*i - 11296*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-165)\/(-33) - (-100)\/75*(-43)\/12\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -a6?\nAnswer: a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 3)*2\/(-4). Let m(a) = -2*a**2 + 4*a + 1. Let t be m(j). Which is smaller: -1\/15 or t?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -4*k**3\/3 + 5*k**2 + 49704*k. Let l be -2*1\/4*2. Let c(q) = -q + 1. Give l*h(r) + 6*c(r).\nAnswer: 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 15 - 21 = 0, 2*z = 5*c + 6. Suppose -q = 5*m - 250, 3*m = -2*q - c*q + 500. Is q a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -201*g + 199*g. Suppose g = -2*v - 3*k + 155, -2*v - k = -145. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/40760 and 49\/11209.\nAnswer: 448360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 3:38 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3255*z + 286564. What is h(-88)?\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i. Let q(z) = 3*z. Let b(l) = -6*l - 2. Let d be b(0). Suppose 0 = g + 2*n + 7, -2*g - 6 = 3*n + 3. Calculate d*t(f) + g*q(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318580852?\nAnswer: 2, 47, 1277, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 129451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 79624 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -526*b**6\/5 + 2231*b**4\/12 - b**2 + 7*b - 30. Find the second derivative of x(h) wrt h.\nAnswer: -75744*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dtdd when four letters picked without replacement from {t: 1, d: 3, y: 2, h: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29232 and 48173328.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 49*b + 499. Calculate y(-54).\nAnswer: 769","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + c = -23, -x + 31 = 3*x - 5*c. Solve -20 = x*p - i, p = 4*i - 5*i for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.79345 to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 86 (b) 0.5 (c) 0 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 4. Let y(i) = -i**2 + 4. Determine -3*l(v) + 2*y(v).\nAnswer: -2*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 51, 80\/11 in ascending order.\nAnswer: -4, 80\/11, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202 - 182 = -4*s. Let w(k) = -k**2 - 3*k. Determine w(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -1748*t**2 + 1 + 842*t**2 + 917*t**2 - 7*t - 2*t**3. Calculate l(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 89090167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1124.0564 to the nearest 10.\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -9*m**2 - 427*m - 427. Give w(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9676217 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.41 - 0.01. Let o = 0 + q. Which is the nearest to 0.2? (a) 2\/9 (b) -1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from caeacccaaceeaca. Give prob of picking 1 c and 2 a.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (108\/21)\/(20\/((-56)\/((-16)\/4)))?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -48*r**3 + 48*r**2 - 133*r - 393. Determine c(-3).\nAnswer: 1734","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-128)\/(-256)*(-10)\/3)\/(60\/(-396))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 140008 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 greater than 490\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + ((-56)\/25)\/(-1))*(-7305)\/5844.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i + 149 = 13, 3*c + 35*i - 37*i - 31 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.78426 minus 0.062915?\nAnswer: -2.847175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 627 + -611. Calculate the lowest common multiple of 56 and i.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 12. Let j = b + 4. What is the third smallest value in j, 5, -2\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229 - 259 + 2608*k + 488.\nAnswer: 2608*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 32211?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/((-2700)\/(-36)))\/((-4)\/180)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 8:16 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 2:01 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000717442886 rounded to seven dps?\nAnswer: 0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x - x - x + (0 - 4 + 3)*(5*x - 3*x - x) - 2*x + 3*x + x - x + 2*x - 6*x + 632*x - 4 + 0 - 638*x as l + k*x and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-2 - -1*2). Let p be h\/(-1) - 32\/(-1). What is the units digit of p\/6 + 6\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 107*h**2\/2 + 138*h - 95. Differentiate y(d) wrt d.\nAnswer: 107","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 7. Let q = d - -4. Suppose 5*a = -c + q*a + 1, 3*c = a + 13. What is the biggest value in 0, c, 4\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 102795852.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(832) - (sqrt(832) + 0))*-3)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*r + 36*r - f + 27 = 0, -4*r + 3*f - 5 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 216803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 112, 229, 380, 589, 880, 1277, 1804, 2485?\n\"Answer: 4*q**3 - 7*q**2 + 110*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/13)\/(-3))\/(3\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -279325\/18 + 15512. Find the common denominator of -15\/22 and r.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 19*d - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 9. Let h = z - 8. Suppose -2*o + 28 = h*y - o, y = 5*o + 28. 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 the value of 1\/17 - 8715\/(-3570)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12725 divided by 1\nAnswer: 12725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**5\/20 - 2*h**4 - 3*h**3 - 43*h**2\/2 + 110*h. What are the prime factors of c(-24)?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a decade in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*d = -20*d - 1890. Let i be (0 - -9)*d\/270. Solve -2*m + 5*j + i = 0, -m + 0*m + j + 3 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1362 and 1392?\nAnswer: 315984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -22*v - 19. Let z(h) = -11*h - 10. Let q(o) = -4*k(o) + 7*z(o). What is the tens digit of q(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 7*k = 0. Suppose -35 = 2*g + c, k = 2*g - 5*c - 4 + 9. Is 8 a factor of 44 + g + (-3)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35 and 15.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*o + 12. Find the second derivative of 4*j**o + 0*j + 3*j - 4*j - j wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**3 + 6*y**2 + 32*y + 484. What is f(0)?\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millennium in decades?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1025015?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65095345 divided by -13019069.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + c - 8 = 0, 3*n + 35*c - 36*c = -24 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**3 + 89*f**2 + 60*f + 88. Give i(-29).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hwoo when four letters picked without replacement from roooohwor?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-68)\/(-2)*(2 + (-575)\/10). Let k = -919 - h. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7746315 divided by -15.\nAnswer: -516421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31943 + 31946. Solve 5*c - 3 = -3*q - 7, -a*c - 3*q = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 7\/24*d**4 + 5\/2*d**2 - 1\/60*d**5 + 4*d + d**3 + 0. Let j(b) be the first derivative of a(b). Determine j(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, m: 1, s: 3, j: 2, z: 3, t: 3}. What is prob of picking 1 t, 2 s, and 1 z?\nAnswer: 27\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -145*y - 11745. What is s(-81)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -4 + -5 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**3 + 151*z**2 - 79*z - 173. Let j be r(-76). What is the greatest common divisor of j and 1760?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 g when four letters picked without replacement from gghggggghggg?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -94 - 348. Let h = 653 + r. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 14.93. Let p = y + -0.93. Suppose 0 = -0*g + g + 3*j - 12, -11 = -3*g - 4*j. Which is the nearest to p? (a) -0.2 (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72789*i + 72772*i - 255 = 0 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143707261?\nAnswer: 5171, 27791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f + 4. Let j(c) = -3*c - 2. Let p = 1 + -6. Let s(z) = p*j(z) - 3*d(z). Is s(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 46464256 or 139392766\/3?\nAnswer: 46464256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 2 = -3*f. Let o be 5\/6 + (-1)\/1. Let i = -2255.8 + 2256. Which is the second smallest value? (a) f (b) i (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1143, 1148, 1167, 1206, 1271?\n\"Answer: m**3 + m**2 - 5*m + 1146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -1221*v**2 + 11344*v - 26224. Let u(i) = -2440*i**2 + 22690*i - 52438. Let k(c) = -15*g(c) + 6*u(c). Suppose k(s) = 0. What is s?\nAnswer: 162\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/5 + 124*y**2\/5 + 122*y\/5.\nAnswer: 2*y*(y + 1)*(y + 61)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**6\/240 + 9*s**5\/160 + s**4\/4 + s**3\/3 + 51*s - 2. Solve z(v) = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of -r**3\/6 + 6*r. Let i(b) = -b - 2. Let x be i(-4). Let y(h) = -x*h + 0*h - h. Calculate y(l(d)).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 444990 a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, r: 2}. What is prob of picking 1 o and 1 r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + g**3 - 24 - 2*g**2 + 17. Calculate d(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7083 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 148752082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/5*(-686)\/(-6) - 4. Let i = -134\/5 - q. Let y(w) = -w**3 - 3*w**2 - 1. Let t be y(-3). Which is smaller: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/14)\/((-29)\/(-4669)). Solve 0 = -z + 5*w + 4, 4*z - 39 = 5*w - v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 u when three letters picked without replacement from uhuh?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-5)*-2*195\/(-117)\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58723?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0662816318 to 4 decimal places.\nAnswer: -0.0663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6\/7)*o*o\/(o*o**(1\/2)))**(1\/2) assuming o is positive.\nAnswer: o**(-5\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72152, 72916, 74182, 75950, 78220, 80992?\nAnswer: 84266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 27858 divided by -9\nAnswer: -9286\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 0*d - 2*d**3 + 0*d**2 - 8 + 1\/3*d**6 + 0*d**4 + 0*d**5. What is the third derivative of u(k) wrt k?\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 3:08 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**4\/4 + 3*z**2\/2 + 2*z. Let p(g) = 16*g**2 + 16. Determine -4*p(u) + 22*s(u).\nAnswer: 2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 12 + 11. Let o(g) = 6*g - 5. Let t(d) = d - 1. What is b*o(m) + 4*t(m)?\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 z when two letters picked without replacement from {z: 7, c: 2}?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269051 - 66990 + 45919 = 2737*b for b.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000063305 rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q + 7. Let p be (-1)\/(-4) + (-125)\/20. Let m be g(p). Let v(o) = 25*o + 4. Let n be v(4). Calculate the greatest common factor of n and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**4 + 1084*c**3 - 29821*c**2 + 195284*c - 279972 = 0. Calculate c.\nAnswer: -1111, 2, 7, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-122)\/(-18) - 182\/26?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/315 and 13\/450.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of q**4\/4 - 2*q**3\/3 + q**2\/2 - q - 2. Suppose 2*l - 6*l = -16. Is f(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (30\/(-20))\/((-3)\/28). Let i be ((-12)\/(-10))\/((-6)\/(-20)). Suppose 0 = -i*y + s + 94. Does 17 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -760816 to the nearest 1000.\nAnswer: -761000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -98*p + 103*p. Suppose -16*k = -p*k + 5*k. What is n in k + 1\/5*n**2 - 1\/5*n = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 4) + (-13 - (-3 + -12)) - 17\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 361 is divided by 176?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 1\/202515, -9\/2 in increasing order.\nAnswer: -9\/2, -2\/9, 1\/202515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 + 4*y**2 + y**3)*(-y + 0*y + 6*y).\nAnswer: 5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -6*(-4)\/56 - (-93)\/(-21). Sort q, 24, 4, 0.\nAnswer: q, 0, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16727220 divided by -440190\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 9:29 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 4)*((3 - 9 - 10)*(c + 4*c - 3*c) - 15*c + 12 - 12).\nAnswer: -94*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.5 + -9. Let u = 12569587\/7410 + -25448\/15. Let t = 3\/38 + u. What is the second smallest value in 1\/3, m, t?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131601 to the power of 1\/2, to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a - 302. Let w(t) = -10*t**2. Calculate d(w(c)).\nAnswer: -20*c**2 - 302","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/48 + (-38)\/(-6). Solve -3*o = -t*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44 - (80 + 11) - 29) + -15.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 + 5514*k - 44304.\nAnswer: 3*(k - 8)*(k + 1846)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**2 + 2*c + 1 - c**2 + 4*c**2. Let s be f(-1). Suppose s = 5*p - 188075 - 211925. What is p rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 2)*(3 - 5 + 3) + 4 - 3 - 3)*(0*i + 3*i + 0*i - 3*i - i + i + (-1 + 1 - 1)*(-i + i + i) + i + i + 0*i)*(-7 - 1 - 2).\nAnswer: 40*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/23)*p**(-23))**(13\/6) assuming p is positive.\nAnswer: p**(-6851\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18.28 + -0.28. Let y = -21 + l. Which is the nearest to -2? (a) -0.3 (b) y (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21580773 to the power of 1\/2, to the nearest integer?\nAnswer: 4646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -120*i - 13. Let v = 35 + -38. Is y(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -0.0729?\nAnswer: 0.02916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*m*z**2 - 20*m + 48*z**2 + 50 with respect to z.\nAnswer: 20*m*z + 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 618*(30\/(-18) - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-352)\/(-5)*165\/22 + 0 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28.94 - 29. Let s = -5838 - -5837.8. Sort s, 0.3, k, 1.\nAnswer: s, k, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6940135346 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3 = 0, q + 5 = 3*n + 4. Suppose -22*g + q*g = 0. Solve 4*u = -g*u - 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*z**2 + 4\/3 + 10\/9*z.\nAnswer: 2*(z + 2)*(z + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1456823423.\nAnswer: 11, 19, 5237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d**2 - 6. Let y(z) = -15*z**2 + 13. Let j(u) = 13*t(u) + 6*y(u). Let c(l) = l + 5. Let b(a) = a + 2. Let i(v) = -5*b(v) + 2*c(v). Give j(i(m)).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/138)\/((-10)\/1020) and 27\/8?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * 2854808\nAnswer: 1712884.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -10*b - 10. Let s be q(-1). Let o be s - -3 - 1 - (3 + -6). Solve -o + 1 = 4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i*i**(-2)))\/(i**(-1\/2)*i*i))\/(i**(-3)*i**(-3\/4)))**(1\/64))**(-20\/3) assuming i is positive.\nAnswer: i**(-85\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n - 6. Let w be (-19)\/(95\/(-10)) + 3. What is g(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17586\/10 - (2 - 180\/75) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65 + 153. Let y(q) = -q**3 + 2*q**2 + q + 8. Let f be y(0). Calculate the greatest common divisor of f and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 0.1, -61, 15, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -2*v + q, 5*v + 11*q = 12*q + 92. Let p(d) = -d**2 - 19*d - 6. Calculate the least common multiple of p(-13) and v.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -20204?\nAnswer: 20208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2.7. Let l = o - 3.3. Let j = 0.08 - -0.32. Which is the closest to -1\/3? (a) j (b) 0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 2. Let s(a) = 4*a**2 + 2*a**3 + 12*a - a**3 + 10*a**2 - 11. Let v be s(-13). Solve c*y = v*y - 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -8*c + c + 37, -944*p = -949*p - 2*c for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16258291 is divided by 701?\nAnswer: 699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 + 3*q**5 - q**2 + (2*q**4 + 0*q**4 - 5*q**4)*(-5 + 5 - 2*q).\nAnswer: 9*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 105.4*-0.14\nAnswer: -14.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - y - 8, -5 = -v - 3*y + y. Suppose 0 = -5*x + 4*x + v. Suppose 2*u + 12 + 2 = 2*b, 0 = -4*b + x*u + 27. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 717*u - 117570. Calculate t(164).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -f**2\/2 + 2075*f. Let i(o) = 4*o + 2. What is -i(b) - 5*r(b)?\nAnswer: -4*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23997 or -23002?\nAnswer: -23997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mbmm when four letters picked without replacement from mbmbmdmdb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21404514425 - 4?\nAnswer: -21404514432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 766 + -767.705. What is d rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/2)*(z*z*z\/z**(-1))\/z assuming z is positive.\nAnswer: z**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -440*f**2 - 121*f - 121. Let b(c) = -11*c**2 - 3*c - 3. Determine -242*b(d) + 6*n(d).\nAnswer: 22*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lpp when three letters picked without replacement from {p: 11, l: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/112)\/(35\/8 + -4). Which is smaller: w or -390?\nAnswer: -390","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -65131 + 30?\nAnswer: -65101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 plus -1799748?\nAnswer: -1799756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39872584.\nAnswer: 2, 4984073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -18*k + 1. Let l be (-6)\/(-14) - 32\/(-56). Let o be 1\/l - 12\/4. Is n(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1919868589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96661731?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6145700 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 3:41 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 * 1.2\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 0.5, 99, 3\/7, 3, -0.3 in increasing order.\nAnswer: -0.3, 3\/7, 0.5, 3, 44, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 156234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -255 not equal to -256?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 913\/170294?\nAnswer: 913\/170294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5842141 and -5?\nAnswer: -29210705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1564 is divided by 503.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/32768 and 61\/1136.\nAnswer: 2326528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 1117*v**2 + 1. Let g(t) be the first derivative of -3*t**2\/2 - 2629. Calculate g(y(u)).\nAnswer: -3351*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 + k - 1. Let s(h) = -h**3 - h**2 + 3*h. Let o(j) = -s(j) + 4*t(j). Let p = -6 - -2. Does 3 divide o(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p - 34. Let k be g(-18). Solve 3*n - n - k = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -21*g - 9. Let a be s(-17). Suppose -5*f + f = -a. What are the prime factors of f?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-12 + 14 + -117 - ((-1 - 10) + -1)).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**3\/6 - 3*r. Suppose -3*f + 2*v + 15 = v, -2*f = 5*v - 10. Let k(n) = 0 + 9*n + 3*n + 3 - f*n. What is 5*g(c) + k(c)?\nAnswer: 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 108 + -26. Let f = 84 - b. Solve -5*j - f = -4*l, 0*j = -5*j + 3*l - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 10. Let u(n) = -4*n - 2*n + 8 - n**2 - 15. Let r be u(-6). Give q(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4\/7 (b) -0.03 (c) -3 (d) -2 (e) 1259\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/28 + (-134936)\/23380.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 654.54 - 655. Which is greater: f or 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13 or -17?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 8 = 5*w, -5*w - 4 = -t + 7. Let n(s) = -9*s - 1. Let p(g) = 3 - 46*g - 2 + 23*g + 13*g + 19*g. What is w*p(m) - 3*n(m)?\nAnswer: 9*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 21*n - 288. Let q be u(14). Let h(s) = 4*s + 16. Calculate h(q).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40 - 3 - 77)*(-2*t + 0 + 0)*(5 - 1 - 3)*(4 + 2 - 4) to u + q*t and give q.\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -34*a**2 + 2789*a - 39. Calculate the remainder when 251 is divided by x(82).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 95 = 3*t + b, -4*t - 108 = 2*b. Let k = t + 76. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -4. Suppose -4*b - 4 = -r*b. Let a = b + 9. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 + 232548*q - 24905534.\nAnswer: 2*(q - 107)*(q + 116381)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111404, 219788, 328172, 436556, 544940?\nAnswer: 653324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*p - 17 = -2*d, 0 = p - 5*d + 4. Calculate the least common multiple of 2 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*v + 145*v = 516 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37616896 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**4 + y**3 - y**2 + 1. Let d(c) = 10*c**4 + 5*c**3 - 5*c**2 - 19*c + 5. Let k(l) = -d(l) + 5*w(l). Find the second derivative of k(h) wrt h.\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1577249 and -1577294 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 + -3.66631551?\nAnswer: -59.66631551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20099*r = 20260*r + 5313 for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**3 - 25*d**3 - 13*d**3 + 10*d**3.\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -472 + 945 - 473 + 338*a**2 - a to the form u + o*a + n*a**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 79\/4 or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -1\/2, 4, -0.3 in ascending order.\nAnswer: -11, -1\/2, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 54 and 3?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -8*a**3 + 2*a**2 + 2*a - 2. Let o(z) = -z**3 + z**2 + z - 1. Give -3*k(m) + 6*o(m).\nAnswer: 18*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-1\/45)*c))\/((c\/(c\/(c**(1\/35)\/c*c)))\/c)*c\/(c**(-1\/14)*c)*c*c\/(((c\/c**(-29))\/c)\/c) assuming c is positive.\nAnswer: c**(-15709\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 3*v + 22*i - 19*i, -2*v - 54 = 5*i. Let n = 203 - v. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f**(-10)\/f))*f\/(f*f\/f**(-2\/3)*f*f)*f**(-2\/13)*f**10\/f)**3 assuming f is positive.\nAnswer: f**(-227\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -93611.58 minus 4.546314?\nAnswer: -93616.126314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -32\/21*n + 2\/21*n**3 - 2\/21*n**2 - 40\/21 = 0. What is n?\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*o**2 + 2313 - 4430 - 22*o**2 + 2337.\nAnswer: -2*o**2 + 220","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 56 = -4*g, -o + 2*g + 29 = 6*g. Suppose 0 = 2*r + r - o, 2*r = -3*w - 3. What is the tens digit of ((-20)\/12)\/(w\/27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (2 + -10) - (5 + 4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a - 6. Suppose p - 16 - 33 = 5*h, -2*h = -3*p + 95. Let w = 18 - p. What is the units digit of o(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462 = 910*r - 911*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p + 7*p - 2*p to the form b + u*p and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 106 - 256 = 0. Calculate the highest common factor of m and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d**3 + d**2 - 2*d - 3. Determine i(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -0.1, 8\/7, -0.03, 4, 4\/13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 85 (b) -0.3 (c) 4 (d) 3\/8 (e) -5\/18 (f) 0.5 (g) -42\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + (-1 - -2))*1. Let u(q) = q - 9. Let o be u(5). Let b = d - o. Put -1, b, -5 in decreasing order.\nAnswer: b, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*s - 150 - 140 - 12*s - 46 - 19*s)*(0 + 0 - s**2).\nAnswer: -19*s**3 + 336*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 99*h**2 - 662*h + 46751. Calculate x(101).\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sdeeessssdsseseesss. Give prob of sequence des.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/11 - (-254)\/(-5207) - (-2)\/11\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 618*h - 540*h - 312 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 9}. Give prob of picking 4 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.54 - -9.34. Which is the biggest value? (a) 1\/2 (b) -11.6 (c) 0.3 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -221*f + 1. Let r(u) = -318966*u. Determine q(r(o)).\nAnswer: 70491486*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of c**4\/12 - c**3\/6 - 4*c**2 - 2*c - 106. Let n = 388 + -383. Calculate v(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90854 is divided by 90776.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 - (-71 + (134 - -21))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-16) + (-2)\/(-4). Let y = -0.00447 - -0.10447. Which is the closest to y? (a) 0.4 (b) -0.4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*56\/(-6) + 0. Let i = -46 + x. Which is bigger: i or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129386 times -422?\nAnswer: 54600892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, n: 3}. Give prob of picking 2 d and 2 n.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -17*k - 48. Let h be r(-3). Solve 0 = 4*w + h + 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*w. Suppose w*l - 20 = -5*l. Solve 0 = -l*y + 3*y + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f**2 + 6*f. Let n(x) = -45*x**2 - 55*x. Let o(c) = -55*l(c) - 6*n(c). Let z(d) = 2*d. What is o(z(h))?\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 5*f + 6. Suppose h + 8 = o, 3*o - 30 = 3*h - 2*o. Calculate c(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 9 = 15*t, 2*d - 3*t = 155. Let h = d - 69. Which is the second smallest value? (a) 5 (b) h (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10487550 divided by -10425\nAnswer: -1006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 181077 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6017676 by -852.\nAnswer: 7063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 655925 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27646 + 20*m - 8271 + 27*m.\nAnswer: 47*m + 19375","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13587213 is divided by 2730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c - 12. Let u be x(7). Let s be (-3)\/u*(70\/(-3))\/1. Which is greater: s or 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (355\/15)\/(9\/135). Calculate the greatest common factor of d and 284.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74\/705 + -26149\/117030. Calculate the common denominator of -115\/24 and b.\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15.5551 or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**2 - s**2 - s**4 + (-5*s + 4*s - s)*(3*s**3 + s**3 - 2*s**3).\nAnswer: -5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 1 (c) 40.711\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 4.764\nAnswer: 9.528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 6*l = 3*n + 87, -2*l = 2*n - 166. What is the remainder when l is divided by 26?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 - 37 - (15 + 1 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*g - 4*f, 2*g - 5*f = 2 - 0. Suppose -2*y + 5*i = -15, 9 = y - 3*i + g. Find the first derivative of -y*h + h + 5 - 4 + 1 wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**2. Let s(y) = -35686*y**2 + 19. Calculate s(k(b)).\nAnswer: -321174*b**4 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 = -d - d, 5*t - 5 = -5*d. Let c(s) be the first derivative of d + 1\/2*s**2 + s. Differentiate c(g) wrt g.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.757398 rounded to 2 decimal places?\nAnswer: -12.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 32483, -0.4, -2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.4 + -2.5. Let i = u + -18.9. Let q = 19.2 + i. Sort 1\/4, 2, q in decreasing order.\nAnswer: 2, 1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.226 times 145?\nAnswer: 3802.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/18 + (-5 - 646\/(-127))\/(15\/(-55))?\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9710799 is divided by 112?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 113 and 260576.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33160392 is divided by 16580190.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.12, -0.4, -0.3, -19 in decreasing order.\nAnswer: -0.12, -0.3, -0.4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*n**2 + 1 - 1)*(-36*n + 13*n + 14*n)*(-139 - 5*n + 139) to h*n**4 + o*n**3 + u + q*n + w*n**2 and give h.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*t - 2*t + 22, 4*t - 26 = 2*y. What is the least common multiple of t and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25942080 bigger than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - s - 11. Let v be c(8). Suppose 2*r - 5*r = -v. Let d be r*4*3\/20. Solve 0 = 3*z - 6 - d for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**5 - 124*f**4 + 728*f**3 + 6400*f**2 - 43008*f = 0. Calculate f.\nAnswer: -7, 0, 6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*o - 7. Solve -o*q - y = -28, -4*y = -3*q + 2*q - 7 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 668?\nAnswer: 3340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46483106 to the nearest integer?\nAnswer: 6818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*o + 132 + 32 = 0, 0 = c - 2*o - 155. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**2 + 1815*h + 103660 = 0. What is h?\nAnswer: -292, -71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 820639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 138 + -138. Let q be ((-2)\/(-3) - (-7)\/(-42))*12. Solve u = 3*z - 0*z - q for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 + 23 - (454 + -439)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.1 and -2161758.\nAnswer: 2377933.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 3*f - 6 + 23, 2*f + 10 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**4 - 15*t**2 + 4*t**2 - 2 + 11*t**2 - 29*t**3 to n*t + q*t**4 + m + a*t**2 + y*t**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 2, v: 17}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.7 and -0.6424713.\nAnswer: -4.3424713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 5. Suppose 4*h = 20, g + h = w*g - 7. Suppose -c + 33 = g. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 22 = -3*n, 0 = -4*n - g + 2*g + 12. Suppose -4*s + n*s - 610 = 0. List the prime factors of s\/(-45) - 2\/(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/((-1392)\/667) + 39\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c6 (base 15) in base 5?\nAnswer: 3121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4382 by 177.\nAnswer: 4382\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of -b**9\/84 + b**5\/60 + 3*b**2. Find the third derivative of g(l) wrt l.\nAnswer: -720*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -87*p**2 - 106*p - 2. Calculate j(-2).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 3:42 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -405*t - 1615. Let h be k(-4). Factor 0*x**2 + 0 + 1\/4*x**3 + 0*x + 3\/4*x**4 + 1\/2*x**h.\nAnswer: x**3*(x + 1)*(2*x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6867*b**3*y**2 + 65998*b**3*y + 7440*b**2*y**3 + 1146 wrt y.\nAnswer: -13734*b**3 + 44640*b**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 44. Let k = m - -172. Let p = 348 - k. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 5*y + 1. Let w be o(-4). Suppose -q - 14 = -52. Suppose -8*j = q - 14. Sort j, w, 1 in descending order.\nAnswer: w, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 4529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-12 - -27 - (-1 - 11))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55398.39 nanograms to milligrams.\nAnswer: 0.05539839","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 + -4 + (9 - 1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -328541.2 to the nearest 100.\nAnswer: -328500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5059372, -1, 5 in ascending order.\nAnswer: -1, 5, 5059372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -h + 0*h + 0*h + h - 4 + 4 + (0*h + 2*h - h)*(2 + 0 - 1) + h - 4*h + 4*h + 0 + 4 + 5*h + 2 in the form b + j*h and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 27*v - 100. Let a = 224 + -223. Put a, v, 17 in ascending order.\nAnswer: a, v, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 175, 2, 1\/3 in increasing order.\nAnswer: -1\/7, 1\/3, 2, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3606389 to the power of 1\/2, to the nearest integer?\nAnswer: 1899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.6, 0.26?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.13 times 284?\nAnswer: 7136.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -43199145.67 to the nearest 1000.\nAnswer: -43199000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 a when two letters picked without replacement from xaxaapaaoh?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -52*h**2 - 38*h. Let b(y) = -y. Let s(f) = -3*b(f) + q(f). What is the second derivative of s(c) wrt c?\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + f + 1 = 0, -130*k + 5*f + 25 = -135*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 714.\nAnswer: -713.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12529415 is divided by 2464?\nAnswer: 2439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 2:04 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -17 + 3\/(-3) + 3. Let q be 24\/5 - 3\/f. Suppose 4*b + 4*z - 44 = 0, -3*z = -q*z - 8. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(1197\/950) + 6?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 340 - 340. Suppose 5*d + 60 - 300 = y. Does 24 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 6 - 5)*(3 + 6*u - 10*u - 2) as g*u + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -8*h**2 - 5*h - 11. Suppose 110*r - 65*r - 62*r - 119 = 0. Let g(m) = -9*m**2 - 6*m - 11. Give r*u(t) + 6*g(t).\nAnswer: 2*t**2 - t + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*u**2 - 59*u**2 - 3 + 91*u**2 - 18*u**2.\nAnswer: 6*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**2 - 76*g + 280 = 0.\nAnswer: 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13094 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24497804.\nAnswer: 2, 6124451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (19\/3)\/(5\/15). Let g = 50 + 26. What is the highest common divisor of v and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45069 - 3650522\/81. Calculate the common denominator of r and -113\/18.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1881.261 to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0 (c) 0.21 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - y + 0)*(-2*y + 4*y + 0*y) + 4 - 3 + 13 + y**2.\nAnswer: -y**2 + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118418, -236847, -355276, -473705, -592134, -710563?\nAnswer: -828992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54186?\nAnswer: 2, 3, 11, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (-19 - -10) - (2 + 13)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -297 - -693. Suppose 0 = i - 392 - j. What are the prime factors of i?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-114)\/(-30))\/(4\/10)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/3 of a hour in minutes?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7458 and 162?\nAnswer: 201366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 93849631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -18078.4882 to the nearest 100.\nAnswer: -18100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -3*d - 606. Let s = 133 - d. Let y = s - -97. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*v**6 + 124*v**5 - 1324*v**3 - 24*v**2 + 6500?\nAnswer: -240*v**3 + 7440*v**2 - 7944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -646 + 649. Let b(s) = 4*s**2. Let q be b(f). Calculate the highest common divisor of 270 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27363043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2. Let j(t) be the second derivative of -t**3\/6 - t**2 + 77*t. Let l(q) = -17*q - 4. Let n(r) = -10*j(r) + 5*l(r). Determine n(v(s)).\nAnswer: 150*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 44\/5 of a tonne?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 1042378.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11321509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754517731.\nAnswer: 11, 68592521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-3)*(-1)\/(-1). Let v be (-3)\/42*-634 + 7. Let y = v - 52. What is the third biggest value in -2\/9, y, 4, m?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -18598591646005 and 1?\nAnswer: 18598591646006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*h**2 + 6*h**2 + 3*h**2)*(h**2 + h - h) + 2*h**4 + h**4 - 7*h**4 + 35*h**4 + 40 - 40.\nAnswer: 28*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 3*j**4\/2 + 852687*j**3\/2 + 55831593*j**2 + 1800038394*j - 1856296332 = 0?\nAnswer: -284098, -66, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)*-2)\/sqrt(5))\/(sqrt(22)\/(sqrt(11) + sqrt(99))) - (-3 + (sqrt(117) - (sqrt(117) - sqrt(117)*3)*5))**2.\nAnswer: -14166 + 190*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m. Let r be q(2). Suppose -t = w + t - 11, 0 = -2*t + r. Suppose 2*v = -3*n - 9, -2*n - 5*v - 20 = w*n. Is -1 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 25 = -4*s, -63*s + 66*s - 9 = 4*g. Solve -32*i + 3*m = -27*i + 24, 6 = -g*m for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 - 4)*(3 - 2 + 1) + 4 - 5 + 3 + (0 + 0 + 1)*(2 - 4 + 0) + 8 - 9 + 4 + 3 + 4 - 1 + 5 + 2 - 5)*(-4*x**3 - 7*x**3 + 8*x**3).\nAnswer: -21*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2 + 4*i**2 - 37273*i + 8*i**6 + 2*i**2 + 37544*i + 50*i**4 - 3*i**5 wrt i.\nAnswer: 960*i**3 - 180*i**2 + 1200*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 11:31 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2439*p**3 - 2956*p**3 + 4907*p**3)*(-3 - 2 + 3).\nAnswer: 976*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 28095377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21222563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0593 + 427.7593. Round l to the nearest ten.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2440659209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 106?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3037 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 3*q - 3. Let s be t(3). Let r be s\/(-6) - 9\/2. Let y = -9.34 - -9.54. Which is the third biggest value? (a) r (b) y (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6806 and 29 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + 1110. List the prime factors of i.\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -199 and -184692?\nAnswer: 184493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -22*a + 173, -10*j + 69 - 194 = -4*a - 22*j + 17*j for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -141254*g**2 + 62653*g wrt g?\nAnswer: -282508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j - 29. Determine y(0).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -20. Let m = 1691 + -1690. What is the second biggest value in 4, i, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(12\/13)\/v**(-2) assuming v is positive.\nAnswer: v**(38\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 7*j**2 + 3. Let d be a(-7). Let x be d*-1 - (0 - -3). Let y = 10 + x. Solve -2*i + i + 4*l = 0, -5*l = y*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 200*g - 134*g + 25*g.\nAnswer: -309*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/7))**(-6))**(-42) assuming r is positive.\nAnswer: r**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/95)\/(((-2)\/30)\/(-10*(-56)\/(-105)))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 + 5*r + 3. Let b(j) = 3*j**2 - 5*j - 4. Let c(t) = -3*b(t) - 4*n(t). Let k = -4 - 1. What is c(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 5*y**2 + 8. Let s(v) = -2*v - 20. Let h be s(-8). Let z be b(h). Solve -4*w + 5*l - z = 0, w + l = 6*w + 9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + v + 13 = 30, m + v = -7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*v = -4*x - 8, 3*x = 4*v - 10. Let q be (-13 + 9)\/(x\/(-4)). List the prime factors of (3 - (q + -4))*(2 - 11).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdry when four letters picked without replacement from {y: 2, k: 3, d: 2, h: 1, r: 4}.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 9*b**2 + 5*b - 7. Let q(o) = 19*o**2 + 11*o - 13. Let c(l) = 3*q(l) - 5*u(l). Find d such that c(d) = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -101*r + 4*j - j + 716, 4*r + 643 = 4*j + 683 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/61792746 and -61\/10.\nAnswer: 308963730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 24318\/(-4452) - 44\/(-8)\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241110552 (base 6) in base 16?\nAnswer: 453284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -119572 (base 11) in base 12?\nAnswer: -91003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2006?\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 10*u + 3. Let g be w(10). Suppose g*r - 64 = -r. Suppose 3*a - 96 = -3*s, 5*s - 2*a - 6 = 140. What is the remainder when s is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 53*j + 3. Let s be k(7). What is the greatest common factor of 34 and s?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v + 2*v + v + v. Let n(c) = -7*c**2. Calculate k(n(o)).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63*d**3*j**3 - 2*d**3*j**2 + d**2*j**2 + 7*j wrt j?\nAnswer: -378*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 166988248, 166988250, 166988252, 166988254?\nAnswer: 166988256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97, -101, -107, -115, -125?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + k**2 - k + 2. Let f = -7 - -7. Suppose 3*s - n = -8, 0 = -f*s - 4*s + n - 10. Let c be h(s). Solve -l + 5 = -c*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1457 (base 9) to base 6\nAnswer: -5041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9942.36 rounded to the nearest 100?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-777)\/222*(-352)\/224\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 2:46 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2326, -4661, -6982, -9283, -11558, -13801, -16006, -18167?\n\"Answer: l**3 + l**2 - 2345*l + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 - 38. Which is the smallest value? (a) h (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1328621 divided by 22519\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128633549.\nAnswer: 11, 23, 508433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -696 - -1689. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 18*i + 20. Determine f(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 - 42352*l + 224211488.\nAnswer: 2*(l - 10588)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (30 - 27)*(-8)\/(-6). Solve -5*l - 3 = -z*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3585*b - 1073*b - 1079*b + 2 - 1186*b in the form c + h*b and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 205978, 411973, 617972, 823975, 1029982?\nAnswer: 1235993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 4*r**2 + 3*r + 1. Let f(j) = -j**3 - 6*j**2 - 4*j. Let b(a) = -4*f(a) - 5*u(a). Let k(t) = -t. Let o be k(-4). Calculate b(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2016, 4019, 6010, 7983, 9932?\nAnswer: 11851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -h + 5*w, -2*h + 3*w + 9 = -5*h. Suppose 2*a + h*b + 3*b + 145 = 0, -15 = 3*b. Let o = 65 + a. Solve -2*k + o = 3, k - 4 = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (616\/(-52) - 42\/273). What is the greatest common factor of 2445 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in centimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 26. Let p be r(0). Let w = 24 - p. List the prime factors of w\/(-3) - 127\/(-3).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 o when four letters picked without replacement from {f: 10, n: 2, v: 3, o: 1}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 117.6 + 5.4. Let o = 122 - h. Which is the second smallest value? (a) o (b) 6 (c) 3\/5 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in one tenth of a microsecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**3 - 399*m**2 + 6216*m + 2131. What is t(-214)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 w when three letters picked without replacement from wwdjkwojwjownwd.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2456 + 2456.18404. Let g = -422 - -421.81. Let n = g + x. Round n to 4 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {j: 3, f: 6, l: 8}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*n - 3. Let x(r) = -r**3 - 10*r**2 + 19*r - 54. Let w be x(-12). Let f(y) = 2*y**2 + 3*y**2 - w*y**2 + n*y**2. Let m(b) = b. What is f(m(j))?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a week in minutes?\nAnswer: 54432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -3\/13 (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*a**4*h*l - 150*a**2*l - 2*a*h*l - a*h - 27*h*l - 33*h wrt a?\nAnswer: 48*a**2*h*l - 300*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of a**4\/4 - 4*a**3 - 6*a**2 - 2*a - 6. Let i be b(13). Solve -r - i = -2*g, 4*r - 4 + 12 = -g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12122424310 (base 5) to base 11.\nAnswer: -8063003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y + 99*y**3 - 3*y.\nAnswer: 99*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzlqqglmqqlngg. What is prob of picking 3 q?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310*l - 138*l - 169*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -24*c**3 + 24*c**2 - 2*c + 58. Let m be r(-27). Round m to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (-5754)\/(-2358) - 2\/6. Let h = g + -2797\/2882. Calculate the common denominator of 53\/2 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.7089 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15567 (base 13) in base 5?\nAnswer: 2243401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 939.997688 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27344 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-2)*822\/(-25). Let k = 165 + u. Let y = 0.6 - 0.1. Which is the closest to k? (a) -2\/7 (b) y (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -568*s**2 - 1152*s**2 - 684*s**2 + 733*s**2 as n + w*s**2 + i*s and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 8*o + 35. Let d(k) = 25*k + 16. Let r(i) = 50*i + 31. Let a(y) = 7*d(y) - 4*r(y). Is a(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 154 = -4*n + 2*d, 103 = 3*n + d. Calculate the remainder when n is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*d**2 + 10*d**2 + 11*d**2 in the form r*d**2 + x + n*d and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -17*n + 10. What is g(-2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - r = 14*r - 40. Solve -9 = -l - 6, -3*m - r*l = 9 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5217 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 + 18 = 3*a, -4*a + 43 = 3*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 4*k + 5. Let d be n(4). Suppose h + d = -0. Let i = h + 9. Let u(r) = -r**3 + 5*r**2 - 5*r. Give u(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 33 = -4*w + 48, 5*w + 56 = 3*r. Let k(j) = -2*j**2 - 17*j + 41. Let x be k(-10). Let c = r - x. Solve -p - 11 = -2*h, -p + 7 = -2*h - c*p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, j: 1, t: 2, v: 1, o: 3}. Give prob of picking 3 o and 1 j.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -24324 divided by -6?\nAnswer: 4054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71 - -68. Which is the closest to 1\/4? (a) -56\/9 (b) -2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 3 - -1) + 10 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 0 + 5)*(3 - 1 - 4) + 1 - 4 + 5 + 2 + 4 - 5)*(30*c + c - 5*c) to k + d*c and give d.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (-6 - (10 - (15 + -14 + 38)))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 2\/187 (c) -7\/23 (d) 1 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -98*y**3 - 3*y**2 + 3. Let x(w) = -2*w**3 - w**2 - 1. What is -s(z) + 3*x(z)?\nAnswer: 92*z**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54337010?\nAnswer: 2, 5, 7, 13, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 32 times -12.79\nAnswer: -409.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, -120, 2.\nAnswer: -120, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 768820 and 1196?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/14 - 2760\/(-4928). Suppose -2*y - 4*i - 22 = 0, 0*i + 3*i = -3*y - 36. Let m = 13 + y. Which is smaller: m or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2, 6, 12, 20, 30?\n\"Answer: b**2 + b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-76)\/12 - -6)*1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -372 + 625. Let o = -249 + b. What is the third smallest value in 3\/5, o, 3\/2, -0.01?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13013 and 2408588.\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 2. Let f(a) = 7*a + 3. Let c be f(2). Suppose 0*n + c = n - 5*u, -3*n + 3*u + 3 = 0. Let v be (2 + 0)\/(-2) + (-4 - n). Determine r(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**2 - 5*v**2 + 2*v**2)*(4 - 4 - 2*v) - 4*v**2 - v**3 + 4*v**2 + (-v**2 + v**2 - v**2)*(v + 0*v - 4*v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 13.6. Let x = 203 - 203. Which is the closest to x? (a) n (b) -0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, r: 1, e: 3, w: 5, h: 1, u: 6}. Give prob of sequence ceur.\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2491*v**4 + 2651*v**4 + 100*v + 563*v wrt v.\nAnswer: 1920*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110110101101 + -11?\nAnswer: -1110110110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -219*g**3 - 154*g**2 + 742. Find the second derivative of o(s) wrt s.\nAnswer: -1314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 3*v**2 + 11*v + 12. Let h be m(-2). Let w be 2\/h - 480\/(-144). Solve -w*c + 13 = -5*j, c + 3 = j - c for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 848\/7 + -3413\/28. Let j = 4.4 + 0.6. What is the second biggest value in a, j, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14985418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.092 times -8.8?\nAnswer: 0.8096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7190041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(143) - sqrt(143))*1 - sqrt(143)) + sqrt(143) - (sqrt(143) - 4*2*sqrt(143)))\/((6*-2*sqrt(121) - sqrt(121))\/sqrt(11)).\nAnswer: -8*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1065, 1811, 2557, 3303, 4049?\nAnswer: 4795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 59691 + 27309. What is f rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c*f*i*z + 60*c*f*z**3 + 10*c*i*z - 27*c*i + 11*f*i*z**2 - 2*f*z**2 + f*z + i*z**2 wrt z?\nAnswer: 360*c*f*z + 22*f*i - 4*f + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 23 = 2*j, -3*m - 23 = m - 3*j. Let l(v) = v + 12. Let r be l(m). Let h(k) = 3*k**3 - 7*k**2 + 13*k + 10. Is h(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 1. Let q(v) = -20 + v**2 + 15*v + 26 - 15*v. Let i(u) = -q(u) + 6*y(u). Let g(f) = 2*f + 3. Determine g(i(r)).\nAnswer: -14*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002345738 to four decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-16)\/(2 - -2))\/(-2). Let j(i) = 0*i**y + 3*i**2 - i**2 - i**2. Let k(d) = -19*d. What is k(j(l))?\nAnswer: -19*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -1 (c) -17 (d) -0.5 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/4, -1\/4, 5\/251, 2\/14607?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mldzduuuzdzudzuful. What is prob of picking 1 f and 1 l?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*u + 408317*u**2 - 79*u - 816656*u**2 + 408327*u**2.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven quarters of a week?\nAnswer: 27720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 30*w**2 - 4*w - 70. Is t(-25) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 283324415*a**5 + 1110045*a + 113 wrt a.\nAnswer: 5666488300*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-55))\/((-72)\/180)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 10*p. Suppose -2*m - 3*m = -y + 87, 5*m - 4*y = -78. Let n = -22 - m. Suppose 0 = -5*h + 87 - 17. Let c(s) = 3*s. Give h*c(o) + n*a(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (2\/8)\/((-42)\/(-1176))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**2 + 373048*u - 373046 = 0?\nAnswer: 1, 186523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -43, -79, -133, -211, -319, -463?\nAnswer: -649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 40 - 32 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41964690?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/4 - 0)*0. Suppose -p - b + 20 = 0, z = -5*p + p - b + 92. Calculate the greatest common factor of p and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and 81.84.\nAnswer: 80.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 6534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22477 + 148*k**2 - 11239 + 39*k**2 - 1489*k**2 - 11238.\nAnswer: -1302*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a - 3. Let p be 2*6\/16*4. Let m = 530 - 526. Let y(b) = 1. Let k(d) = 3*d. Let r(u) = k(u) + 3*y(u). Determine m*c(g) + p*r(g).\nAnswer: g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280*y + 225 = -255*y. Solve -4*a + 3*q - y = -7*a, 0 = 2*q for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -10*h + 41488*h**2 - 81*h - 45 - 41525*h**2. Find the first derivative of q(c) wrt c.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 0.047?\nAnswer: 0.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) -166 (c) 41 (d) 2\/13 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23385124 and 45124.\nAnswer: 1556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 12*w = -40. Let t(a) = a - 21. Let y be t(11). Let q be (-5)\/y + (-46)\/(-4). Solve 0 = -w*b + b - q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 3*x - 6. Let b be n(-5). Suppose v = -3*d + 25, -v - b*d + 4 = -26. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289186205?\nAnswer: 5, 7, 11, 751133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.5569607um?\nAnswer: 0.0000000005569607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 5*j**2 - 5*j - 6. Let f(i) = 2*i**3 - 4*i**2 + 4*i + 5. Determine -5*f(l) - 4*q(l).\nAnswer: -6*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403 = -18*s - 677. Is -60 equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000718993 rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3253445 divided by 5\nAnswer: -650689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 200 and 22.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0130914 to 4 decimal places.\nAnswer: 0.0131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i + i**3 + 0*i + (-i**2 - i**2 + 0*i**2)*(17 - 17 + 2*i) + (-3*i**3 - i**2 + i**2)*((-1 - 1 + 3)*(0 + 3 - 1) + 3 - 3 + 5).\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dpdpppddppp. What is prob of picking 3 p?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/27290 - 1132523\/327480. Calculate the common denominator of g and 71\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 4, 3, 7, -11559, 1 in decreasing order.\nAnswer: 7, 4, 3, 1, -1, -4, -11559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g + 2. Let q be b(-2). Suppose -r - q = 2*m, -11 = -m - 2*r - 2*r. Let t = 8 + m. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((20\/15)\/4)\/(2\/2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o - 7*o + 7*o - 2*o**3.\nAnswer: -2*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2425759 rounded to 3 decimal places?\nAnswer: 2.243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 17 = a. Suppose 6*p - 112 = -p. Suppose 4 = -14*w + p*w. Calculate the greatest common factor of w and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - w - 5*w)*(2*w**2 - w**2 - 4*w**2)*(3*w**2 - 4*w**2 - 2*w**2).\nAnswer: -9*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/2)\/(9\/3). Let p be (12\/(-9))\/(10\/(-125 + 5)). Which is bigger: p or g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 7*j = 11*j + 3862, 0 = 2*c + 5*j - 2544. Let y = 1860 - c. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j - 6. Let x(i) = -24*i - 9. Let m(d) = 8*d + 3. Let y(o) = 11*m(o) + 4*x(o). Let n be y(-1). What is w(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 8*x - 102 = 0. Let w = 48 + x. What is the common denominator of (-98)\/(-8)*-2 - w and -63\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 562 + -564. What is the second biggest value in g, -5\/6, -77?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = d + 2*d + 9, 3*d = -2*r. Suppose n = 6*n + 4*t + r, t = -n. Sort 0, -2, n in descending order.\nAnswer: 0, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -67.8\nAnswer: 13.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.06, 1\/2, -2\/11, -29?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (155\/(-248))\/((24\/(-24))\/(-104)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 5:22 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/51435411 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 6*c + 8. Let r(w) = w + 1. Let p(n) = -d(n) + 5*r(n). Let l be p(-7). Let q(b) = -b - 8 + l*b - 2*b + 10. Determine q(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v**2 - 4*v**2 - 3*v**2)*(v + 3 - 3 + (-6*v + 3*v + v)*(0 - 2 + 0) + 4*v - 2*v - 4*v + 3*v + 4*v - 8*v).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - (-3 - 4 - 12)) + (-8 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, x: 1, j: 3, d: 2}. Give prob of sequence xj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*-1*8\/(-54). Is k <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12012 (base 3) to base 15.\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1868 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7920) + (sqrt(7920) + -1*sqrt(7920) + sqrt(7920) - sqrt(7920)) + sqrt(7920))\/sqrt(11).\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 32 (b) 112 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*l**3 - 36*l**3 + 5 + 13 + 8 - 26.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 + (-5)\/10*16. Is u at least -3\/218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 14*f + 11 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.155, -3380, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -2\/7 (c) -79\/5 (d) -2 (e) 1\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205*y**3 + 930*y**2 - 315*y - 1450 = 0. Calculate y.\nAnswer: -1, 2, 145\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 u when three letters picked without replacement from {z: 2, w: 6, u: 3, l: 1, f: 3}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 38*q + 258. Let i(y) = -13*y - 89. Let d(p) = -8*i(p) - 3*k(p). Calculate d(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - f**2 + 5. Let h be r(0). Let d be -1 + -2 + 23\/7. Which is the second smallest value? (a) d (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (5 + -1 - 3) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f - 997 = -7. Is f equal to 65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 113*m - 110*m - 7 = 0, -5*c + 7 = -m for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 1896 + 63. Let u = 5257\/8 + q. Calculate the common denominator of -62\/5 and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 7 = -9. Suppose -2*u - 3*u = 5*a - 10, -u - h*a = -2. Suppose 0*b - 410 = -u*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2702 (base 8) to base 7\nAnswer: -4204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 + 5*c + 4. Let i(d) = -4*d**2 + 11*d + 8. Let h(u) = -4*i(u) + 9*j(u). Calculate h(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5051008 and 80.\nAnswer: 25255040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -23*n**2 - 11*n - 11*n + 29*n - 7*n. Let l(f) = -7*f. Determine l(y(u)).\nAnswer: 161*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 divided by 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**6\/120 - 2*b**5\/15 + 5*b**4\/12 + 11*b**3\/6 + 2*b**2 - 7*b. Calculate the least common multiple of 80 and t(-9).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, h: 6, t: 4}. Give prob of picking 4 h.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24*n**4 - 88836*n**3 - 109638414*n**2 - 45152694291*n - 45043144689.\nAnswer: -3*(n + 1)*(2*n + 2467)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-488)\/732*(-6)\/32?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(2\/11)*c)**(-29))**(-1\/32) assuming c is positive.\nAnswer: c**(145\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 5*k**3\/3 + 2*k + 1. Let i(b) = 4*b**2 + 2. Suppose 3*q - 6*q + 18 = 0. Calculate q*i(h) - 5*c(h).\nAnswer: -h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 37\/5 of a hour?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2912 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3624.4 + 3773. Round d to the nearest integer.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45220)\/(-770) - 240\/4.\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -8, -1\/19, -2\/17, -2\/9, 2, 0, 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (3 - 37 - (85 - 107))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 285 = -5*s, 3*s - 2*t + 175 = -0*t. Let m(y) = -16*y**2 - 168*y + 26. Let q be m(-11). Which is greater: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 12:55 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + -1)*(-2 - -2). Let g(h) = h + 8. Let j be g(o). Calculate the greatest common divisor of j and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 199a10a?\nAnswer: -199a106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91748?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (269\/(41964\/3640))\/(14\/60).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 2 - 3)*(4 + 1 - 3) - 1 + 1 - 5)*(27 - 27 - 46*j**2) in the form a*j**2 + n*j + u and give a.\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**5 + 15*x**4 - 110*x**3 - 100*x**2 + 840*x - 800.\nAnswer: 5*(x - 2)**3*(x + 4)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2746863140 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010101111111 (base 2) in base 7?\nAnswer: 54633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-3)*(-117)\/6. Let q(a) = l*a + 28*a - 65*a - 4 + 21*a - a**2. Give q(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 462*u - 18 = 459*u. Solve 0 = 13*s + u - 19 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g*g**(1\/6)\/g*g))*g\/g**1)**0*((g\/g**(-3\/2))\/(g*g**(-2\/7)))**(-28) assuming g is positive.\nAnswer: g**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sspwspjsswzszwzspjzj. Give prob of picking 1 s and 1 w.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 48.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(2448) + sqrt(2448)*-2 + sqrt(2448))**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence adp when three letters picked without replacement from {a: 1, p: 1, u: 3, t: 2, d: 1, w: 3}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - ((-29)\/(-13))\/1. Suppose -3*j - 5*l + 248 - 874 = 0, -j - 218 = 4*l. Let n = -201 - j. Which is bigger: m or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 15, 8, -3, -18, -37, -60?\n\"Answer: -2*o**2 - o + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 156223 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1980 - 991. Let z = -958 + x. What is the remainder when z is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -917, -408, -16, -2 in decreasing order.\nAnswer: -2, -16, -408, -917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/11)\/c**5)\/(c**(-1\/13)\/c**(-1\/4)))**(2\/39) assuming c is positive.\nAnswer: c**(-3011\/11154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*n - 15 = 0, 2*u - 4 = 5*n + 7. Suppose -g = u*g. Suppose 4*p - 40 = -g*p. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 25*t - 3. Let p(r) = -8*r + 1. What is 3*a(s) + 8*p(s)?\nAnswer: 11*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 5:23 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 36\/9)\/((-4)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5287?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*m - 61 + 121, m = -w + 15. Solve -w*c - 4 = -13*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 5*x**2 + 6*x + 5. Let v(q) be the first derivative of -2 + q + 1\/2*q**2 - 1\/3*q**3. Determine -u(m) + 5*v(m).\nAnswer: m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11709390 and 1512?\nAnswer: 421538040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two fifteenths of a day?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -14, -2\/35, -4, -2428?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 254 = 3*j, 3*j = 4*b + 5*j - 966. Let z = b + -124. Calculate the highest common divisor of 23 and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 0*l**2 + 1\/4*l**4 + 17\/3*l**3 - 40 + 56*l. Differentiate k(h) with respect to h.\nAnswer: 3*h**2 + 34*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**4\/2 + 9866*w**3 - 9867*w**2 - 9866*w + 19733\/2 = 0. What is w?\nAnswer: -19733, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1125613, 2251233, 3376849, 4502461?\nAnswer: 5628069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 1038 = d, 0 = 2*r - 0*r + 3*d - 524. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 1014?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7822105 to the power of 1\/2, to the nearest integer?\nAnswer: 2797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 949*w - 15019 = 18196 for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 8 - 0 - (13 + (-9 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 30*s - 47. Give h(28).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.6 * 0.6.\nAnswer: 2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4727010?\nAnswer: 2, 3, 5, 19, 8293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 89738934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of (-9876)\/(-5) - 8\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/13057 + 3303505\/548394. Let m = u + -37\/6. Which is the biggest value? (a) -2 (b) m (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1054\/(-217) - (4 - 11).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i\/((i**3\/i)\/i)*i*i\/(i*i*i**(13\/3)*i*i) assuming i is positive.\nAnswer: i**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*-239712.7\nAnswer: 7191.381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1248*c + 20929 = -3132 - 1019 + 120 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t - 3*t - t)*(56 + 82 + 163) as z*t + u and give z.\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 u when three letters picked without replacement from {l: 4, s: 3, v: 2, u: 2, b: 2}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 54, 74, 94, 114?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7130512 decades to months.\nAnswer: 85.566144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1512?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 312 - 6?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 7. Let h(c) = 2*c - 9. Let r be h(6). Suppose 3*n = 5*n - 2*u, r*n = -5*u + 32. Solve 2*v + q*v = -n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78 and 429.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - q = 60. Let s = q + 72. Is 20 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71210 + 52537 = -2205*c + 338*c + 126953 for c.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-4\/11)\/((k*k\/(k\/(k\/k**(-12))))\/k) assuming k is positive.\nAnswer: k**(-147\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-1\/12)*m*m**(-4\/3)\/m*m*(m\/m**(-8))\/m*(((m\/(m*m\/(m*m**(-14)*m)))\/m)\/m)\/m assuming m is positive.\nAnswer: m**(-89\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 139*i**4 + i**4 - 27*i**4 - 1 - 2*i**3 as m*i**4 + b + j*i + f*i**2 + d*i**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*q - 7*q + 2*q to the form t + f*q and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 217*y - 278*y - 305 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170841.\nAnswer: 3, 11, 31, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 - -36416?\nAnswer: 36365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r - l + 3, l - 1 = 5*r + 2 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 113466 or 1248127\/11?\nAnswer: 113466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 199, 3, -3, -147 in ascending order.\nAnswer: -147, -3, -2, 3, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**4 + 20*a**2 + 6*a**2 - 18*a**2 + 5*a**4 wrt a?\nAnswer: 96*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w. Suppose -12*t + 54 + 330 = 0. Let f = -34 + t. Determine h(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*s = 1710, 0*s + 6765 = 4*a - 5*s. Suppose -2*g - g = 15, 5*h + a = 5*g. List the prime factors of (-4)\/14 + h\/(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 829109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -46423, -92796, -139169?\n\"Answer: -46373*t - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1261 divided by -46.\nAnswer: 1261\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -106*q**2 + 297*q**2 - 33*q - 155*q**2 as l*q + i + v*q**2 and give l.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -999 or -998?\nAnswer: -998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000360762 to seven dps.\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8349 + 16490. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228068?\nAnswer: 2, 23, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -1, 5 in ascending order.\nAnswer: -48, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 379487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(396) - -2*sqrt(891)) + (sqrt(33)\/sqrt(108) - sqrt(11)) + sqrt(22)\/sqrt(2) + -4)**2.\nAnswer: 140*sqrt(11)\/3 + 14051\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7804*x**4 - 10512 with respect to x.\nAnswer: -31216*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -246000 rounded to the nearest ten thousand?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - w = -5*x + 86, -4*x + 70 = 2*w. Solve -24 = x*s - 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 79*h - 70. Is g(21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15675.4254 rounded to the nearest integer?\nAnswer: -15675","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 426 = 4*s + 126, q = -5*s + 394. Let n be (-2)\/(s\/36 - 8\/12). What is the nearest to -3 in 7, 0, -1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -2 (c) -952 (d) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 348 = -p - 323, 5*p = 4*q + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7994466 and 434?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 285700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -217*k**6 + 3*k**3 - 3*k**3 + 2*k - 2*k + 92*k**2 wrt k.\nAnswer: -26040*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*r + r - r)*(-1 - 2 + 7) + r + 2*r - 2*r)*(2 - 5 + 2)*(-4*r + 2*r + 5*r).\nAnswer: -27*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*v = 10, 0 = 3*b + 7*v - 2*v - 18. Let p(w) = 4*w**3 + 2*w**2 - w. Let i be p(b). Solve s = 4*y - 22 - 0, 2*y + i*s = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 - 25. Let k be 319*-1 + (9 - i). Let z = k - -538. What are the prime factors of z?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4536 and 3322620?\nAnswer: 6645240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -757*m**5\/20 - 5*m**4\/24 - 15*m**3\/2 - 3394*m**2. Find the second derivative of q(y) wrt y.\nAnswer: -4542","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 7*i**2 - i + 5. Let g(q) = 4*q - 10. Let s be g(4). Let h(x) = x**3 + 8*x**2 + x - 6. What is s*y(z) + 5*h(z)?\nAnswer: -z**3 - 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/75*(-15)\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1393870814 to the power of 1\/2, to the nearest integer?\nAnswer: 37335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -764 - 6630 = -619*x + 2510 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 79c3 - -4d?\nAnswer: 7a21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -55 - 32\/11*l - 16\/11*l**2 + 2\/11*l**4 + 32\/33*l**3 - 6\/55*l**5. Suppose w(t) = 0. Calculate t.\nAnswer: -2, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 11*p + 3. Give t(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 4*b**5 - 524*b**4\/7 + 1528*b**3\/7 + 480*b**2\/7 = 0.\nAnswer: -2\/7, 0, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of 15*i**5\/2 - 164*i**3\/3 + 254*i. Find the second derivative of q(g) wrt g.\nAnswer: 900*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12a25 + 159?\nAnswer: -12877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 16*n - 69. Let h be y(23). Suppose -4*m + 5*o + 212 = -2*m, -h = -3*m - 2*o. Is 8 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 39, 16, -15783 in ascending order.\nAnswer: -15783, -4, 16, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324 + 246 = 5*i. Calculate the greatest common divisor of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*y - 1935 + 6856. What is the greatest common divisor of y and 581?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*w - 17. Suppose -3*o - o = w. Sort 6, -2, o.\nAnswer: -2, o, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 7*u = -1300. Let q = u - -513. Calculate the greatest common divisor of 23 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.4, 17, -13 in descending order.\nAnswer: 17, -1.4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(-11)*x**8)**46*(x\/(x*x\/(x\/x**0)*x)*x)**48*x**(-2\/3)*x*x\/(x\/x**(-1\/6)*x) assuming x is positive.\nAnswer: x**(5791\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a (base 14) to base 16.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-4 + (0 - 16\/(-12)))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-4\/11)*v)*v)**29 assuming v is positive.\nAnswer: v**(435\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 4*f + 6. Let n(b) = -4*b - 7. Let y(g) = 6*n(g) + 7*r(g). Let x(i) = i**2. Determine x(y(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (1393\/105*5)\/((-1)\/(-33)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-1*(135\/15)\/(-18)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 8*j**2 + 6*j + 9. Let p be g(-7). Let w = -9 - -14. Suppose 4*y = w*y - p. Calculate the remainder when 46 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1\/5)*t)**(-22)*((t\/((t\/(t*t**(-2\/19)*t))\/t)*t)\/t*t*t)**(-4\/11) assuming t is positive.\nAnswer: t**(-52438\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 25. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -2 + -3 - 6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 (base 7) in base 14?\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -406157, -4, 4, -8 in increasing order.\nAnswer: -406157, -8, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*a**3 - 2*a**4 - 2*a**4 + 5*a**4 - 4*a**2 - 2*a**4 as w*a**4 + h + v*a**2 + r*a**3 + f*a and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 12:35 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddgooggg. What is prob of sequence gd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(4\/(-16)) + -11. Put i, -5, 5 in decreasing order.\nAnswer: 5, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**2 + 2282052*h - 650970166338 = 0.\nAnswer: 570513","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 229475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 8:46 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5 - 7) + 3 - 4) + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 2 - (-9 + (6 - 2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.05454 - -0.35454. What is the fourth smallest value in 8, -2.1, c, -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -832 divided by -18\nAnswer: 416\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(2 - -1 - 2). Let k(w) = w**3 + 4*w**2 + w. Let x be k(z). Suppose -x*a - 50 = -11*a. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*y + 52*y + 31*y - 139*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41\/141 - -2\/47. Which is the second smallest value? (a) -0.5 (b) o (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2\/4 + 45651*y\/4 - 593801\/2.\nAnswer: (y - 26)*(y + 45677)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 11:11 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11960421?\nAnswer: 3, 11, 59, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**3\/11 - 732*a**2 - 736758*a = 0.\nAnswer: -2013, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -879dcc3 - -2?\nAnswer: -879dcc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/52315 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 11*n + 12. Calculate y(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -86500 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469*d - 1513 = -6203 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4799\/14 - 343. Let q = -2 + 3. Which is bigger: v or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 750838 is divided by 375345?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34820 and 494444.\nAnswer: 2472220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1124 - 2245 + 3*v + 1130 + v.\nAnswer: 4*v + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**5 + 93*l**4 - 2611*l**3 + 18495*l**2 + 45200*l + 24000 = 0.\nAnswer: -1, 15, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 - 11*x. Suppose -27 = 5*s + l, -2*s - 4*l = s + 6. Let q(g) = -g**2 + 6*g. Determine s*p(h) - 11*q(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14321 (base 7) to base 12.\nAnswer: -233b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14775\/4 + 7387\/2. What is the common denominator of x and 17\/7098?\nAnswer: 14196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -21. Suppose -1 = i*z - 3*z. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000091828 rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8638*p**2 - 492370*p\/3 + 76\/3.\nAnswer: 2*(p - 19)*(12957*p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -258 - -182. Let i = -26 - x. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) -3\/7 (b) 5 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/730 and -19\/22?\nAnswer: 8030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 h when four letters picked without replacement from {z: 4, p: 5, h: 7}.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(325) + -2)*4 - (sqrt(325) - (sqrt(325) + -4*(sqrt(325) + 1)))**2) + (-3*sqrt(325) - sqrt(325))**2 + 3 + 5*3*sqrt(325))*-2.\nAnswer: 42 + 130*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2. Let k(u) = -60*u**2 + 52614. Calculate k(y(i)).\nAnswer: -60*i**4 + 52614","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13077*j**2 - 13046*j**2 + 39126*j**2 - 13109*j**2.\nAnswer: -106*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**3 + q**2 - 2*q - 7. Let n(x) = x**2 + 1. Let w(b) = -6*n(b) - y(b). Let f be w(4). Differentiate -14 + 38*z**3 - f*z**3 - 36*z**3 wrt z.\nAnswer: -69*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -87 - 73. Suppose 6 = 5*v + 1, -429 = 4*s + 3*v. Let j be s\/(-10) - -4*(-7)\/35. Calculate the highest common factor of z and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 w, and 2 v when four letters picked without replacement from vkknwkwwnwkuwvdukuvv?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 11*t**2 - 33*t + 23. Let q be h(11). Let v = q - -347. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 248, 254, 262, 272, 284, 298, 314?\nAnswer: 332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 30. Let a = 45 - q. Calculate the remainder when 88 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2166, 13959, 43366, 98367, 186942?\n\"Answer: 1330*x**3 + 827*x**2 + 2*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -a + 4*a. Suppose x - 46 - 50 = a. What is the greatest common divisor of 24 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 i when two letters picked without replacement from lzwjxwxixiiii?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 724, 441, 158?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9\/111*(735\/45 - 17)\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 4*x**3 + 5*x + 7. Suppose 174 = -35*b - 36. Let h(v) = -v + 5*v**3 + 0*v + 7*v + 8. What is b*d(k) + 5*h(k)?\nAnswer: k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.224 minus -34?\nAnswer: 58.224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q + 7*q + 2*q - 10*q - q - 125 to the form j + g*q and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3862 - 1925. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 126944969 to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 7 + 5 + -12.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 163329 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 3*n**5 - 1443*n**4 - 499545*n**3 - 5795265*n**2 - 4303878*n + 10600128 = 0.\nAnswer: -224, -11, -2, 1, 717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2.24512 kilometers?\nAnswer: 2245120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3032 is divided by 74.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5385 (base 9) to base 16\nAnswer: f7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19\/(-38)*((-10)\/35)\/1\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -k**7\/21 + 88*k**5\/5 + 333*k**4\/4 - k**3\/3 - 796*k. Find the third derivative of x(b) wrt b.\nAnswer: -120*b**2 + 2112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -491*w**2 + 186*w + 6. Let h(g) = -990*g**2 + 373*g + 11. Let l(z) = -6*h(z) + 11*n(z). Find the second derivative of l(d) wrt d.\nAnswer: 1078","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3c34b - 21?\nAnswer: -3c36c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 5:11 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43\/30 - -8\/5. Let j = -281\/6 + 47. What is z in j*z**2 + 1\/3*z + c = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 105*b + 2886. What is y(-63)?\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2\/15, 3, 65?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*d + 33 + 27 - 28 - 32.\nAnswer: 87*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 945*h - 937*h + 70 = 3*w, -74 = h - 4*w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 3968.8 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*a + 98*a = -34. Solve -2*r + 32*y = 35*y + 18, y = -a*r - 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51.4 - 57.13. What is c rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11958737 and 0.499461.\nAnswer: -11958736.500539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -119 - -74. Let b be 15\/(g\/(-6)) - 1*2. Suppose -11*f + 0*f + 33 = b. Solve -f*x - 24 = -9 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31027*q**4 + 4526*q**3 - 92456901*q**2?\nAnswer: 744648*q + 27156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 8*a**2. Let s(t) = -23*t**2. Let m(u) = -17*r(u) - 6*s(u). Let g(d) = -2*d**2. Determine m(g(x)).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -569 + 570.4. Which is the closest to -52? (a) 2\/7 (b) -3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -26, -15, 54, 211, 486, 909, 1510, 2319?\n\"Answer: 5*b**3 - b**2 - 21*b - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1472.6 less than -9568?\nAnswer: -8095.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/(-12))\/((-1)\/40). Suppose -u + 2*u + 5*j + 26 = 0, u = 5*j + 24. Let i = -717.94 + 717.74. Which is the closest to u? (a) i (b) f (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.3, -21, 2\/3, 12?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-2 + 0 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 2*p - 23, 0*p - 3*p - 3*d + 3 = 0. Solve -5*j + 3 = 4*q, 0 = -4*q + p - 16 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -24072, -96282, -216596, -384984, -601416?\n\"Answer: 5*o**3 - 24082*o**2 + o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2630 and 150.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 646696 and 2290?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*n + 2 + 96*n + 32*n - 2 - 116*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -333 (b) 4.7 (c) -1\/5 (d) 3 (e) 2\/11 (f) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 404177551 to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -5*a**8\/168 - 23*a**4\/24 + 9*a**2. Find the second derivative of p(d) wrt d.\nAnswer: -200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 927 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*u - 2*o - 78 = o, -644094*u + 644090*u - 3*o = 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(6) + -3*sqrt(96))\/(((sqrt(160) - sqrt(10))*-4)\/(sqrt(605)*2)).\nAnswer: 187*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73134856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/4 - 104\/(-32). Suppose -5*s - v + 18 = -2*s, 0 = -q*s + v + 17. Let r(g) = -49 + 4*g**2 + 60 + 3*g - g**3 - 9. Give r(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 12:25 AM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 61*s**6\/2 + 271*s**5\/10 - s**3\/3 + 6470*s**2. Find the third derivative of f(l) wrt l.\nAnswer: 21960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -99977\/7380 + -7\/820. Let s = -97\/18 - o. Let v = s + -205\/24. What is the biggest value in -1, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(98)*4)**2 + (sqrt(98) - (-3*sqrt(98) + 0)**2) + 3*(sqrt(98) + 1 + sqrt(98) + -3 + sqrt(98))*-6.\nAnswer: -371*sqrt(2) + 38354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 10895*n**3 - 5730790*n**2 + 5730395*n - 10500 = 0.\nAnswer: 4\/2179, 1, 525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -65*o - 5. Let p(s) = s + 1. Determine a(j) + 4*p(j).\nAnswer: -61*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 2*k - 1. Let f be o(6). Suppose -g - f = -0*g + b, -2*g - 5*b = 58. Let a = g + 68. Is a a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 13) to base 2\nAnswer: -101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 4765828*v**3 - 4765810*v**3.\nAnswer: 18*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9715205 by -73.\nAnswer: 133085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24955.\nAnswer: 5, 7, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j - 3. Let k be n(8). Let o = k - -2. What is the greatest common divisor of 35 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 - -2 - (20 + -16)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 316224811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*k - 27 + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/((-2001)\/(-261)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -4\/337 (b) 0.3 (c) -0.1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*o**2 + 11930*o - 45959?\nAnswer: -4*o + 11930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6177 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -1. Let y = m - -0.7. Let v = 0.26 - -1.74. Which is the third biggest value? (a) y (b) -3\/2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4114 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-1)\/(-6)*(-27)\/(-72).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.15 * -5331.19.\nAnswer: 799.6785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, y: 11}. Give prob of picking 4 y.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2008*d**5 + 3*d**3 + 12*d**2 + 2217666*d wrt d.\nAnswer: -40160*d**3 + 18*d + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i*m**5 - 3*i*m**4 + 84348*i*m**3 - 67*i*m + 312700*m**2 wrt m?\nAnswer: 120*i*m**2 - 72*i*m + 506088*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (-3)\/(3\/16). Let u = h + -27. Is -10 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 6:08 AM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*s - 45. Let a(f) = f**3 + f**2 + f. Let y(j) = 6*j**3 + 6*j**2 + 7*j. Let c(x) = s*a(x) - 3*y(x). Find the third derivative of c(m) wrt m.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -458 (b) 7\/2 (c) -0.116 (d) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, h: 2, n: 1}. Give prob of picking 1 n and 1 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**6\/f)\/f**(4\/7))\/(f**(-2\/5)*f*f*f**(-1\/2)*f)*f**(2\/3)*f*f\/(f**5\/f)*f*(f*f\/(f**1\/f)*f*f*f*f*f)**(4\/13) assuming f is positive.\nAnswer: f**(14057\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*16\/(-30)*-6. Let t = -27 + 30. Suppose 11 = t*v - h. Calculate the remainder when 26 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 - l - 1. Let h(k) = 545*k**2 + 3*k - 4. Let t(o) = -h(o) + 4*m(o). Let s be t(-2). Let r = s + 3069. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*x + 74, -2*x + 4*q = -6*x + 88. Suppose x = 3*t + 9. Calculate the least common multiple of 10 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -20, -1 in increasing order.\nAnswer: -20, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -14. Solve -r = s + 1, 4*r - 3*s + 1 = -a*s for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2242)\/(-7) + ((-120)\/105)\/4 is divided by 129.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -19903.\nAnswer: -5\/19903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3012 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2558145.\nAnswer: 3, 5, 199, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 15*b - 8. Let r be g(13). Let f(x) = -x**3 + 20*x**2 + 11*x - 59. What is the tens digit of f(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 406 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19 or -24?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29477033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*w - 201*w + 60*w.\nAnswer: -380*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -2*o**2 + 5\/42*o**8 - 4\/15*o**5 + 7\/10*o**6 + 52*o + 62\/105*o**7 + 0*o**3 - 2\/3*o**4 + 0. Find c, given that j(c) = 0.\nAnswer: -2, -1, -1\/2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8257, -15929, -23603, -31279, -38957, -46637, -54319?\n\"Answer: -s**2 - 7669*s - 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, 1, 3\/7, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394 a factor of 985972380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -3\/8*i**4 + 0*i + 1\/2*i**3 + 0 + 46*i**2. What is a(3)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 300 and 250.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 115081 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9386 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2222.5 - 2223. Let j(i) = -i**3 + i. Let m be j(0). Suppose 5*f + 5 = -m. Which is the nearest to -0.1? (a) f (b) q (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -u - 117 + 21, 5*u + 55 = 3*h. Suppose 34*t - h*t - 4014 = 0. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 905 - 905 - 59*t**3.\nAnswer: -59*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**2 + 19*c - 19*c + (4*c + 1 - 1)*(1 + 2*c - 1) + c - c - c**2 - 28 - 17*c**2 + 7*c**2 + 40 to h*c + m + g*c**2 and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48 + 48. Suppose n = u - 39 - 125. Is 41 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*36\/(-36)*((-364)\/8)\/(-7).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.461 + -16.461. Sort p, 0.1, 4, -0.3 in decreasing order.\nAnswer: 4, 0.1, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10, d: 10}. Give prob of sequence dh.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620455756?\nAnswer: 2, 155113939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11042 + 11042.4. Suppose -3*w - w - u = -20, 24 = 2*w + 4*u. Suppose -3*a = -w*a. Which is smaller: a or t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -8*w + 39. Let m be q(11). Let f = m + 52. Let k(d) = d**2 - 5*d + 3. Give k(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000339152816 rounded to 5 dps?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19566*q + 1509642 - 3935826 for q.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -5\/473979 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7353.2 rounded to the nearest one hundred?\nAnswer: -7400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n = 35 - 13. Calculate the remainder when (124\/(-155))\/(n\/110) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnxx. Give prob of sequence xx.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 42971552?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -52, -427, -1436, -3397, -6628, -11447, -18172?\n\"Answer: -53*b**3 + b**2 - 7*b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 4*m - 40 - 5*m.\nAnswer: -m - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 5*x - 5, 3*c - 2*x = 2 - 0. Let o(t) = t - 4*t**2 - 9*t**3 + c*t**2. Suppose -4*n - 3*g = -11, 0 = -2*g + g + 5. Give o(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 439666 - 439666 - 24*k**3 - 17*k**2 + 17*k**2.\nAnswer: -24*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.4, 220, 3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18352 - 1963648\/107. Which is bigger: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -201 times -1486.33\nAnswer: 298752.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 62*w - 1439*w - 1587*w)*(-w + 0*w + 2*w) to z*w**2 + y + c*w and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(77\/(2156\/(-840)))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 - (((-27280)\/(-93))\/(-44) - 2\/6). Solve h = -85*i + 113*i + 112 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123942.51+0.036\nAnswer: -123942.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 - 3*w**2 - 8*w**2 - 8*w**2 + 17*w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -56\/3, 33, -0.1, 2\/11, 0, 0.1 in increasing order.\nAnswer: -56\/3, -0.1, 0, 0.1, 2\/11, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) 2\/11 (c) 8 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - d - 4 = 0. Let y = 9 + d. Let w = -4 + y. What is the remainder when w is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 7*i**2 - 10*i - 6. Calculate h(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**4 + 5*n**4 + 0*n**4 + (3*n**3 - 2*n**3 - 3*n**3)*(0 - n + 0).\nAnswer: 5*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27830.\nAnswer: 2, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 863444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2887246*s**5 - 3464*s - 7 wrt s?\nAnswer: 57744920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -573*f - 169*f + 8127 = 273*f - 1008 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0040499 to four decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 1:37 AM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 978*a + 25. Let s be x(1). Suppose 455 = 2*k + 5*b - 819, 3*b - 3166 = -5*k. Let f = s - k. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45 - (22 - 12)) + -52 + 51?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyw when three letters picked without replacement from {w: 1, y: 3, p: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 6:15 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 242512345203 and 163.\nAnswer: 242512345366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 0*c**4 + 8\/15*c**5 + 23\/3*c**3 - 18*c**2 - 41 + 0*c. Let x(q) be the second derivative of t(q). Differentiate x(w) wrt w.\nAnswer: 64*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1454191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*r + 20*r - 936. What is the highest common factor of r and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 + -10. Suppose z - g*j = -44, -3*z + j = -3*j + 122. Is (z\/8)\/((-1)\/4) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -51 (b) 1\/3 (c) 3\/5 (d) 73\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-2\/31))**(1\/2))**(-4) assuming x is positive.\nAnswer: x**(-58\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 3646 and 117.38266.\nAnswer: 3763.38266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -296aabcb?\nAnswer: -296aabc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 167.4305 millennia?\nAnswer: 16743.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 5:31 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 368899 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6745*m - 8996*m + 24078*m to the form c + y*m and give y.\nAnswer: 21827","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -13419.\nAnswer: 1\/13419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23124258979\/13134 + -1760641. Calculate the common denominator of i and 11\/10.\nAnswer: 65670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 68480, 136921, 205362?\n\"Answer: 68441*a + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8459 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/1*16\/(-6). Suppose 0 = u + l - v, l - 6*l = -15. Suppose -u*g + 4 = -g. What is the nearest to 3 in g, 3\/4, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2665 is divided by 242.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14259?\nAnswer: 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-21)\/(-2) + (-24)\/16. What is the highest common factor of 3 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 23*a**2 + 8*a + 13. What is the remainder when w(-3) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22768.208*3\nAnswer: -68304.624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 7 = f. Let d(i) = i + 1. Calculate the remainder when -3*(-2)\/6 + 12 is divided by d(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + (-22 - (-10 - -3)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-3)\/(-3)*(-18)\/27?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 11, n: 3, q: 4}. Give prob of sequence nq.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9 - 247.7?\nAnswer: -245.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4046 - -4051. Let y be ((-1)\/(2\/3))\/(-3). What is the nearest to y in 0.2, 1\/4, i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58 - (5 + -6 + (15 - 7))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(33)\/(-4*(-1*sqrt(11) + sqrt(11) - sqrt(11))))**2 - ((1*sqrt(1200) + sqrt(1200))**2 + 3).\nAnswer: -4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a milligram in micrograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 4:00 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 597*n + 1. Let l(t) = -2387*t - 4. Let i(h) = 2*l(h) + 9*y(h). Let c be i(-2). Let f be 2\/(-10) - c\/35. Round f to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10150 and 126208?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 506011 and 18997?\nAnswer: 5566121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109 - 94. Suppose 0 = -q - q. Solve 4*t - 20 = 4*j - q*t, 3*j + 4*t = -u for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of l**4\/12 + l**3\/3 - 17*l**2\/2 - 22*l - 8. Let s(m) be the first derivative of z(m). Let a be s(4). Solve 4*x - 9 = a*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 787\/52864 - 9\/896. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + d + 827 = -2902, 5*f - 5*d - 3745 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53865 divided by -17955?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -768, -3\/4 in ascending order.\nAnswer: -768, -5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*i + 33*i = 531250. Is i at most as big as 3124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -279, -759, -1617, -2853, -4467, -6459?\nAnswer: -8829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2480668, -2480670, -2480624, -2480506, -2480292, -2479958, -2479480, -2478834?\n\"Answer: 4*n**3 - 30*n - 2480642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 14 = i + 2*g - 20, -3*i = -2*g - 147 for i.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 11 + (-11 - (2 + 1 + -7))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v - 3. List the prime factors of h(-6).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 6*d**2 + 48*d**2.\nAnswer: 42*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-192)\/18 - 2\/6. Let y = -12 - z. Let h(o) = o**2 - 4*o - 2. Let d be h(4). Is y less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -p - 14 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16\/5*b**4 + 0*b - 16\/5*b**3 - 4\/5*b**5 + 0 + 0*b**2.\nAnswer: -4*b**3*(b - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11029 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1403.15095 to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (40 - 63) + 6\/((-18)\/33)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58072036?\nAnswer: 2, 11, 29, 71, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.84 + -0.84. Let d = 22\/3 + -8. Which is the nearest to -3\/7? (a) n (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -1, -17\/5, 1\/4, 0.98, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Expand (307 - 322*q**2 - 156 - 149)*(11*q**3 - 22*q**3 - 15*q**3).\nAnswer: 8372*q**5 - 52*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a + 2*a - 6*a - 321*a**2.\nAnswer: -321*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-44)\/(-4) - -1) + (-14 - -51 - -16)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -b**3\/3 - 5. Let i(x) = -x**2. Let o(s) = -3*s**2. Let c(u) = -15*i(u) + 4*o(u). Determine w(c(n)).\nAnswer: -9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 8*m**2 + 7*m + 5. Let t be j(7). Solve -4*r - 9 = -r + 4*c, -t*r - 4 = 3*c for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*y + 7*y - 12, 3*h - 12 = 5*y. Solve h*m = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1290 + -364. Differentiate 990*n - 176 - 22 - a*n wrt n.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 10, -5\/4, 1664\/31?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15739 - -5b5?\nAnswer: -15184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 2:42 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 0 + 0)*(-287*y**2 + 555*y**3 - 295*y**2 + 580*y**2).\nAnswer: 1110*y**4 - 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of -n**5\/180 + n**4\/24 + 2*n**3\/9 - 6*n**2. Determine k, given that l(k) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -22*p - 33. Let b be a(-9). Do 164 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 34*l**2 - 2*l - 2. Determine n(-1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 2\/3, -2734, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1\/o)**(3\/7)*(o**0)**(1\/39) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 5*u. Suppose 0 = -10*o + 7 - 47. Let j be i(o). Which is the second smallest value? (a) 2 (b) -0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 0*g - 5*g)*(-4*g + g + 4*g + (20 + 24 + 2)*(-g + 0*g - g)).\nAnswer: 273*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 429, 287, 131, -45, -247, -481, -753, -1069?\nAnswer: -1435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*c + 10. Suppose -11 - 1 = -c*h. Suppose -17*m = -12*m - 5. Solve n + m = h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189854 is divided by 1695.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -618 - -632. Solve -a*m = -2*l - 19*m + 20, 3*l - 4*m + 16 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 - 16*l + 2. Let m be b(8). Suppose 4*s + m*h = 14, 4*s - 3*h + 9 = 7*s. Calculate the greatest common factor of 1 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h - 22. Give t(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69 + 70. Calculate the highest common divisor of r and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/70)\/((9\/15)\/(-1)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1735270 - 207*w + 1735270 + w**2 as r*w + y + q*w**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*2 + 0\/(-2 + 0). Solve 0 = h - 5*a + 3, -c*a + 0 - 4 = -4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 62312 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -4136.51 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -518506195286 - 0.5?\nAnswer: -518506195286.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2797 + -2761. Calculate the remainder when 825 is divided by r.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 723079 to the power of 1\/2, to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -997469364 divided by -83122447.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 724275 divided by -5365.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -32*i + 34. Let d(y) = 3*y + 7. Let x(h) = 5*h + 11. Let o(z) = 8*d(z) - 5*x(z). Let w(q) = 204*o(q) - 6*s(q). Let m(c) = 2*c. Calculate m(w(g)).\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 4*q - 10. Suppose q*d = -0 + 65. Calculate the highest common factor of d and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 7\/(-5)*-2\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-2))\/((-3)\/46). Let q = k + -20. Let u(i) = -i**2 - i. Let r(o) = 2*o**2 + 2*o. What is q*u(b) + r(b)?\nAnswer: -b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 4598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z**2 - 6 + z**3 + 3*z**2 - 3*z + 2*z. Let s(q) = -q**2 - q - 1. Let f be s(2). What is the units digit of k(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2693, -5427, -8161, -10895, -13629?\n\"Answer: -2734*v + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2, 17, 46, 95, 170, 277, 422?\n\"Answer: b**3 + b**2 + 5*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 7) to base 14\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 16*z + 112. What is b(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3018 and -0.238.\nAnswer: -718.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*u + 93 + 287. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 251906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 477.32886 milliseconds in hours?\nAnswer: 0.00013259135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 455?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 16 = v + 4*m, -5*m - 15 = -2*v. Suppose v*k - 47 = 3*c, 49 = 5*k - 2*c + c. Let n = -1 + k. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 26. Suppose 4*r - 3*i - 468 = x, -2*r - i + 484 = 2*r. Suppose 0 = 3*y - y - r. List the prime factors of y.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3004 is divided by 749.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 58186488 to the power of 1\/3, to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 83720122?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-222)\/1221 - 10\/66)\/(2\/(-66))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -28294*n + 310969. Determine d(11).\nAnswer: -265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00187602107 to 5 decimal places.\nAnswer: 0.00188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7520, 14738, 21660, 28280, 34592, 40590, 46268, 51620?\nAnswer: 56640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 3462?\nAnswer: 13848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*w, 5*w + 0 = -4*a - 1. Let i(q) = 390*q - 19. Is i(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + -4)*(1 + -4). Suppose 2*c + i = 11. Calculate the smallest common multiple of c and (-4)\/(-1 + 3) + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 5*r**2 + r - 5. Let w be h(5). Let p be -3 - (w\/(-4) + -2). Which is the biggest value? (a) -3 (b) p (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 6*c**2 - 5*c - 6. Let w be u(5). Let r = 513 - 517. Sort w, r, 0 in increasing order.\nAnswer: w, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6557.0000000143 + -6557. Round r to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18\/2035 - -28796\/34595. Factor -48\/17*j**2 - 20\/17 + 54\/17*j + a*j**3.\nAnswer: 2*(j - 1)**2*(7*j - 10)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3923 - 62797\/16. Is -1 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2. Let h(p) = -3*p + 2. Let c = 4 + -13. Let i(l) = -3*l + 3. Let t(b) = c*h(b) + 6*i(b). Calculate t(u(v)).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*r = 0, -2*r = -h - 5*r. Let y(f) = -7*f**2 - 21*f - 15. Let v be y(-1). Is v greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2950 times -0.1?\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 400770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(3\/12) + 1. Let r(u) = -48 + 48 + c*u. Let g(y) = -6*y**2 - 5*y + 5. Let w(v) = -v**2 - v + 1. Let x(p) = g(p) - 5*w(p). What is r(x(i))?\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**3 - 514232*u**2 - 569285200*u - 156886180000 = 0. Calculate u.\nAnswer: -550, 129658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -441993525 + 441993525 + 8*u**2 - 107*u as r + y*u**2 + f*u and give f.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -1569, -4015, -7439, -11841?\nAnswer: -17221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 8*q - 3*q + 85, -3*m = -4*q - 65. Suppose 5*o = 2*l - 45, 3*o = -2*o - m. Solve 2*v - 3*f - l = 10, 3*f + 20 = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -1479*x - 2. Let t(j) be the third derivative of j**4\/24 + 17*j**2 + 11. Calculate t(y(d)).\nAnswer: -1479*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*s - 462 = 128*s. Does 22 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4247?\nAnswer: 31, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -11850 divided by -2?\nAnswer: 5925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/(-3) - -17)\/(108\/(-1836))?\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104568 is divided by 14798?\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2263685 * -0.2\nAnswer: 452737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 369.1 - 315. Let s = -77.51 + l. What is s rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 2*h - 4*u + 8, 4*u = 4*h + 24. Let v = h - -11. Find the third derivative of 2*a**2 - a**3 + 0*a**v - 5*a**3 + 0*a**3 wrt a.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -1\/12*n**4 + 0*n**6 - 1\/42*n**7 + 0*n**5 + 0*n**2 + 0 + 2*n + 0*n**3. Find the third derivative of c(v) wrt v.\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*y = 55*y - 27*y - 2370 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 5*i - 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -m + 2*c, -5*m + 5 = -c - 8. Suppose -m*w = -8 - 0. What is the first derivative of 2 + 0 + 2*t**4 - 4*t**w wrt t?\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 7*a - 23. Let w(o) = -o - 1. Let f(h) = n(h) - 4*w(h). Differentiate f(y) wrt y.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t**2 + 27*t + 9. Let x be c(7). Suppose v = 0, 4*g = -x*v + 12 + 8. Suppose -g*b - 28 = -7*b. Solve -3*k + k + 4*f + b = 0, -5*k + 7 = 4*f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*o**3 - 2460*o + 90470 wrt o?\nAnswer: -6*o**2 - 2460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1 + 1)*1\/(-3))\/((-406)\/(-609))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132 (base 4) to base 11.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 + 0*p**2 - 4*p**2)*(4*p - 5*p + 2*p) - 5*p**3 - 10*p + 703 - 703.\nAnswer: -6*p**3 - 10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 55660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 602 a factor of 551296133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*a**3 - 10*a**3 - 19*a**2 + 19*a**2.\nAnswer: -137*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*h - 1. Solve -4 = -3*m + h for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10, 5, 16, 23, 26?\n\"Answer: -2*q**2 + 21*q - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/1*((-65)\/13)\/70\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 50 + (-68 + 14 - -43).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)*c*c\/(c\/(c\/((c*c**2)\/c))))**(-3\/32) assuming c is positive.\nAnswer: c**(3\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 37\/(-21) + 1500\/1050. What is the nearest to -96 in -4, v, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29516 is divided by 1444.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 12:28 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 12:07 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -108 - -66. Let v = k + 90. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4271.7 - -4460. Let v = 188 - o. Which is the closest to 0.2? (a) 3 (b) -3.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c - 10 + 66. Suppose -m + 5*m + c = 0, 3*m = -5*p + 679. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 + 1510*z**2 + 3005*z + 1500.\nAnswer: 5*(z + 1)**2*(z + 300)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4297907.\nAnswer: 41, 104827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((0 + sqrt(147))**2*3 - ((-1 + sqrt(147))*-2)**2) + 4 + -1.\nAnswer: -299 + 112*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-7\/2)*z**(-4)*z*z)\/(z*z**22*z**(-16)))**(17\/5) assuming z is positive.\nAnswer: z**(-85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1314106647 to the power of 1\/3, to the nearest integer?\nAnswer: 1095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.15 + -0.55. Let m be (-4 + (1 - 4))\/(-3). Let z = m - 22\/9. Which is the fourth biggest value? (a) 0.6 (b) 0.3 (c) z (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213383110?\nAnswer: 2, 5, 19, 293, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14878, -59559, -134026, -238279, -372318, -536143?\n\"Answer: -14893*g**2 - 2*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2133*a. Let o(n) = -36*n**2. Calculate o(j(f)).\nAnswer: -163788804*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w**2 - 35*w - 72. What is s(15)?\nAnswer: 528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n + 12*n**3 - 13*n**3 - 4 - 3*n**2 + 5*n - 11. Let d be l(-8). Let u = d + -77. List the prime factors of u.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = 430*m - 79. Solve m = -3*g + j, -g = j - 3*j + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8918509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q - 5*p + 11, 19 = -q - 372*p + 379*p for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 6*sqrt(700)*-4)**2 + (3 + -2 + sqrt(175))**2*3.\nAnswer: -450*sqrt(7) + 403729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -137*p**2 - 820*p - 15. What is v(-6)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*f - 6*a + 18*a - 136 = -74*f, -3*a + 52 = 4*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1500 is divided by 101?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -236 + 236.184. Let q = -0.016 - z. Which is the nearest to 3? (a) q (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 7) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, s: 3, x: 5, l: 1}. What is prob of sequence xlxx?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q**0\/q)))**24\/(q**(-2\/9)*q*q)**(-13) assuming q is positive.\nAnswer: q**(-8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 + 53 - 157 - 16*x**2 + 51.\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 + 182. Does 16 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -574.7 - -575. Let z = -1269 - -87559\/69. What is the smallest value in h, z, 0.2, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 6796?\nAnswer: -2038.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 10, v: 4}. Give prob of sequence sssv.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -67*i*m*o**3 - 2*i*o**3 + 4*m*o**2 + m*o - 5*o**3 wrt i?\nAnswer: -67*m*o**3 - 2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**4\/24 + 31*p**3\/3 + 558*p. Factor w(y).\nAnswer: -y*(y - 124)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.95950592 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 700.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 797 - 794. Let b(n) = n**3 - 4*n**2 - 2*n + 12. Determine b(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4608))**2 - ((sqrt(72))**2 + 0)) + 3.\nAnswer: 4539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-7\/3)*c**(-3\/5)*c**(3\/22)\/c*c*c**(12\/7) assuming c is positive.\nAnswer: c**(-2501\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21.65 - 21.1. Let y = t + -3.55. Which is the third smallest value? (a) -9 (b) 2\/7 (c) y (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/3)\/p)**(4\/15)*p**9\/(p\/(p*p**3*p)))**(-25) assuming p is positive.\nAnswer: p**(-2905\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-73)\/(29784\/144))*(-36)\/6\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38\/4909 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 10 = 44. Let d = 2 - -1. Suppose -26 = -d*x + 4*t, -40 = x - 5*x + 4*t. What is the least common multiple of x and g?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.07808 + -3.07808. What is the closest to 1 in 0.4, 683, -0.3, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**3 + 118456*d**4 + 12673*d**2 - 118275*d**4 - 5*d**3 wrt d.\nAnswer: 4344*d - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380.0045mg in kilograms?\nAnswer: 0.0003800045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 2*z**2 + 3*z - 3. Let i be p(2). Suppose i*r = r. Solve r = 4*b + 2 + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7196179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2 + -2 + 5 + sqrt(832) + sqrt(832) + -2 + sqrt(832)*-1 + -1 + -5 + -2*sqrt(832) + -5)**2.\nAnswer: 208*sqrt(13) + 1001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 186 - 176 = 0. Calculate the remainder when u is divided by (8\/6)\/(4\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/((-12)\/20) + (-391)\/(-68). What is the closest to m in 2\/15, 0.06, 0.2, -2\/15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -4 - -1) + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 2)*(-10 + 11). Sort 5, 26, g in ascending order.\nAnswer: g, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1758.00729 + 1758. What is n rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -49, -1, -3, 75 in increasing order.\nAnswer: -49, -3, -1, -1\/3, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*l - 28 = 0, 0 = -3*b - 3*l + 3. Let h be 0*((-10)\/6 - -2). Put b, h, -1 in ascending order.\nAnswer: -1, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 c when four letters picked without replacement from rzzzczzzwiczzzzzcrzz?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/126 + (-91)\/(-98) + -1.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 1216*v**2 - 49303*v + 220. Give y(-42).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, 0.1, -1, 0.15, 28?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v + 1. Let t(z) = -4*z. Let n = -6 + 7. Let s(x) = n*r(x) - t(x). Differentiate s(q) with respect to q.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 - 193\/6. Let l = -4023\/7 - -569. What is the common denominator of i and l?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 691650.3 nanoseconds to seconds.\nAnswer: 0.0006916503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 975645 and 1752?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 832032 divided by -23112.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from wuwwwwuwwuuuu.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -139.5 + 139.3. What is the biggest value in -3, s, -0.71?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*l**2 - 16*l.\nAnswer: 4*l*(9*l - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152 - 10 = 16*v + 126 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*a = -3694, -3*h + 2*a + 249 + 1975 = 0. Calculate the remainder when h is divided by 737.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h + 6. Let d be (4 + (-70)\/15)*(-14 + -1). Suppose 1 = -3*j + d. Let p be z(j). Solve p = 2*g - 6*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - s + 4*s)*(-5 - 1 + 0)*(35 - 35 + 2*s**4) + s + s - 3*s**5 + s**5 - s**2.\nAnswer: -26*s**5 - s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 375? (a) 5 (b) 34 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 995 + -568. Let d = -270 + o. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (93 - -2) + 23\/299 + 12100\/715.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 11.3, -18 in descending order.\nAnswer: 11.3, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -371\/3 + 125. Suppose -3*d - 2*o = -o - 19, -2*d - 2*o = -18. Let q = 6 - 4. Which is the biggest value? (a) d (b) q (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314397 at least as big as 314397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -5, -2\/45?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 m when four letters picked without replacement from {m: 3, n: 7, o: 3}?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 4*m**2 - 1. Suppose 2*n - 4*n = 0. Let q be 1*(1 - (0 + n)). List the prime factors of v(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -332, -478, -764, -1226, -1900, -2822, -4028?\n\"Answer: -6*l**3 - 34*l**2 - 2*l - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 3:28 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/2 - 38) + 1. Calculate the remainder when q\/3*(-12)\/8 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 601477?\nAnswer: 17, 35381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -279 + 432. Let f = 65 - 33. Let l = -15 + f. What is the greatest common factor of l and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.15 in 0, 5, 4\/59, 0.22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d + 232. Let g be r(-53). What is the third biggest value in 2, -9, g?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5395, -6377, -7359, -8341, -9323?\n\"Answer: -982*y - 4413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176 and 1144.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24857)\/477*(9 + -2). Let g = i + 365. Sort g, 0.5, 48\/5 in ascending order.\nAnswer: g, 0.5, 48\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**2\/s**(7\/5)*(s\/s**(-1\/2))**(-43)*(s*s\/s**(-9)*s*s**12)**(3\/23) assuming s is positive.\nAnswer: s**(-13977\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 3*k + 2. Let v be d(-3). What is the second derivative of v*w**3 - w - 2*w**3 + 2*w**3 wrt w?\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(3*10\/(-435)). List the prime factors of (-26)\/(-1)*(-12 - r).\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28*d**3 + 1285*d**2 + 84*d - 40028096 wrt d.\nAnswer: -84*d**2 + 2570*d + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4035093 and -4?\nAnswer: -16140372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 5*s + 20 - 54, -3*s - 18*c = 204 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1156, -26234 in decreasing order.\nAnswer: 4, -1156, -26234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - (2650\/(-6))\/((-44840)\/1824)?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -164*(-6)\/(-8)*1. Let r = 450 + t. Find the common denominator of -10\/9 and (r\/3)\/(3 + -9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 189032445?\nAnswer: 189032444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*y - 147199 - 29103 - 223346 = 0. Calculate the greatest common divisor of y and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (30\/4)\/(81\/(-21)) and ((-10)\/(-100))\/((-2)\/242).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*t**4 - 25*t**3 + 35429*t**2?\nAnswer: 264*t - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 1) + -5 + 0 + 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119719, 478880, 1077479, 1915516?\nAnswer: 2992991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -5788841.6 to the nearest 1000.\nAnswer: -5789000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20904 is divided by 29.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 o when two letters picked without replacement from {x: 1, g: 5, s: 1, o: 2, r: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -120245*x**4 - 2*x**3 - 659*x**2 + 931 wrt x?\nAnswer: -2885880*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g - 9. Let z be h(-14). What is the greatest common divisor of z and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.12, -2\/111?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 2*t**5\/5 - 2*t**4 + 16*t**3 - 2*t**2 + 239*t - 4987. What is the second derivative of x(i) wrt i?\nAnswer: 24*i**2 - 48*i + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**4\/7 - 16325*u**3\/7 - 358742*u**2\/7 - 1239100*u\/7 - 167688 = 0.\nAnswer: -16303, -18, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**5 - 13116558*v**4 - 51145135*v**2?\nAnswer: 60*v**2 - 314797392*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -8*v. Let s(d) = -d. Let o(f) = 10*s(f) - t(f). Let y(a) = -3*a**2. Give o(y(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -672*n**2 - 505 - 744*n**2 + 93 - 274 - 802 with respect to n.\nAnswer: -2832*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -m*v**2 - 19*m*v - 26*m - 3*v**2 + 2 wrt v?\nAnswer: -2*m*v - 19*m - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(26\/5)\/x)\/x**4*(x\/((x\/(x*x**(-4\/5)))\/x*x*x)*x)\/x*x*x*x**(-1\/16)*x*x*x*x*x assuming x is positive.\nAnswer: x**(587\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12e8e (base 16) in base 15?\nAnswer: 17e39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2861 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1152, -4659, -10502, -18681, -29196?\nAnswer: -42047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of d**5\/630 - 11*d**4\/126 + d**3\/3 + 4*d**2 - 4. Factor k(n).\nAnswer: 2*(n - 21)*(n - 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + -998450241338?\nAnswer: -998450241338.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 523866 divided by 3?\nAnswer: 174622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 4*k = -6 - 42, 0 = x + 4*k - 24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 246411419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 2*2\/((-4)\/(-357))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(400\/(-62316)) - (-3)\/(-30)*-1. Calculate the highest common factor of y and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(12)\/(sqrt(18)\/sqrt(6))))\/((sqrt(192) - sqrt(192)*1*-2) + sqrt(192) + sqrt(192) + sqrt(192)).\nAnswer: sqrt(7)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77 or -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 3*q + 15, 4*k = q - 38 + 50 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 10. Let k(w) = w**2 + 2*w - 19. Suppose -88 + 4 = -12*u. Let m(r) = u*z(r) + 4*k(r). Let q(a) = 3*a**2 + a - 5. Calculate -5*m(f) + 6*q(f).\nAnswer: -2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2797.\nAnswer: 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 11 - (-17 + 18 - 11)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 6 + 2)*(0*w - w + 2*w)*(-2 - 4 + 4)*(-2 + 1 - 1).\nAnswer: -40*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 1435 = -4*u - 524, -w - 941 = 2*u. Let g = w - -1515. What are the prime factors of g?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/192 and (-1)\/((-35)\/10) + (-2571)\/252?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -88*d + 91*d - 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -10. Which is bigger: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -26 + 16*m - 4*m**3 - 5*m**2 - 1\/4*m**4. Let u be o(-11). Solve -2 = -u*b + 2*z + z, 0 = -b - 5*z - 22 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 9*k**2 - 10*k - 12. What is z(-10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - -2597050040.\nAnswer: 2597050039.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g. Let c = 63 + -62. Let l(x) = 9*x + 23. Let a(q) = c*r(q) + l(q). Find the first derivative of a(k) wrt k.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z. Suppose 0 = 23*c - 32 + 124. Let l = -4 + 3. Let u(y) = 3*y + 2. Determine c*d(k) + l*u(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1297127 and -0.26?\nAnswer: 337253.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o + 2. Let m be x(-1). Let k = 8 - m. Solve 0 = -5*n - 6*l + k*l - 18, 8 = -4*l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.04 times 49.083?\nAnswer: 5842.84032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*u - 7. Let o = -462 + 1792. What is the least common multiple of u and o\/50 - 4\/(-10)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 + -28. Let z(r) = -15*r**2 + 27*r**2 - 10*r**n. Let c(j) = 2*j**2 - 4 + 4 + j**2. What is c(z(t))?\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.9 - 3.3. Which is the closest to 1? (a) -2 (b) 3\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, v: 5, c: 3}. Give prob of picking 1 c and 1 y.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -148 + 9*x**2 + 2*x**2 + 147. Determine q(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 6*g + 2. Let n be o(-6). Let u(s) be the second derivative of 3\/20*s**5 + 0 - s - 6*s**n + 3\/4*s**4 + 0*s**3. Suppose u(d) = 0. What is d?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from bbzrbbbrbzzrbz?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5509 is divided by 306.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, y: 3}. What is prob of picking 2 g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4973 - 4968. Suppose -b = -5*b. Suppose -x*y + 2935 = 4*q, -y - 2*q = -b*q - 587. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 4*a + 2*a)*(-44*a - 42*a + 67*a).\nAnswer: 38*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**3\/13 + 38*i**2\/13 - 84*i\/13 = 0. What is i?\nAnswer: -21, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j + 2. Suppose 13 = 3*t - 17. Let x = 3 - t. Let h(m) = -2*m - 10. Let n be h(x). What is s(n)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 12*y - 44. Let o be k(3). List the prime factors of o\/(-28) + (-48)\/21 + 592.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -0 + 20. Let p = 18 + m. Let c = 12 - p. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/45*(-1 - (4 - 2)). What is the closest to 1 in -2\/3, d, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 0 - 13*n - n**3 + 9*n + 1 + 12*n**2 - 5*n. What is the tens digit of i(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, q: 1, w: 1, i: 1, u: 2, d: 1}. Give prob of picking 1 d and 1 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1147 or 41?\nAnswer: -1147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 40 = -5*v, 4*d - 1047 = -4*v - 1079 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 4*h**2 + 2*h - 1. Let o be i(-2). Let m = 257\/7 - 36. What is the common denominator of (-18)\/24 - o*1 and m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3, -3\/5, 4, -4, 41822?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10919137.2000004 - 10919060.2. Let h = 77.99 + -0.99. Let g = y - h. Round g to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (31\/((-589)\/(-152)))\/(-16)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (686\/70 - 9)*5\/(-218)\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**3 - 32*o**2 + 35*o + 14. Let u be c(-17). Suppose w - 3 = -2*w. What is the lowest common multiple of w - -1 - (-162)\/(u - -9) and 3?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7016, 14595, 22176, 29759, 37344?\nAnswer: 44931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1650 + -1690 - (-8 - -2)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-21))\/((-4)\/63*819\/(-702))\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1433\/4 greater than or equal to -65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206559796?\nAnswer: 2, 109, 473761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -4*y - 126. Does 9 divide y\/98 + (-1392)\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**3 - 4*x**2 - 2*x + 5. Let t(q) = 6*q**3 + 11*q**2 + 6*q - 14. What is 11*d(p) + 4*t(p)?\nAnswer: 2*p**3 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 5. Let z = -13 - o. Let g = z + 3.9. Which is the biggest value? (a) -5 (b) g (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2240 + 2237. Suppose -2*x - 5*g = 20, -g + 4 = -2*x + 2*g. Let z = -1 - -1. Which is the closest to -1? (a) t (b) z (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q + 31. Let l(h) = 3*h - 46. Let d(g) = g**3 + 5*g**2 - 21. Let a be d(-4). What is a*l(n) - 7*u(n)?\nAnswer: -n + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -232104414 + 4?\nAnswer: -232104410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = -3*d + 2*p - 340, 2*p = 4*d + 410. Let w be ((-108)\/(-14))\/((-1)\/(-28)). Let f = w + d. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -2. Let q be 6\/3*(-19)\/w. Suppose -2*b + 2*c + 2 = -4*b, 5*b - 3*c - q = 0. Solve -5 = t - b*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57.5*-8571.\nAnswer: 492832.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-90)*(-14)\/((-43008)\/120)?\nAnswer: 1\/128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f = -23 + 51 + 52 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 15) to base 2\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 52 + -16202?\nAnswer: -16120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 + 200757148*y**2 + 2518964429189792*y - 2518964629946944.\nAnswer: 4*(y - 1)*(y + 25094644)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)\/((s*s*s*s*s\/s**(-8))\/s))\/((s*s*(s**(-7)*s)\/s*s*s)\/s)**21 assuming s is positive.\nAnswer: s**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36*g**3*k*w**3 - 14*g**3*k*w**2 - g**3*w**2 + 376*g**2*w**2 + 165916*g*k*w**3 - 2*g*k*w**2 + 2*k*w + 20*w**2 wrt w.\nAnswer: 216*g**3*k + 995496*g*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -481442 (base 10) in base 16?\nAnswer: -758a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14230144 + 1?\nAnswer: 14230200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14\/(-105) - ((-38914)\/(-15))\/(-2) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -87 + 137. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1799321.\nAnswer: 181, 9941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355*a + 703*a - 355*a.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ym when two letters picked without replacement from {y: 1, m: 2, v: 1, o: 3, r: 4, e: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286 + 143 = 3*p. Suppose 0 = 3*c - p + 17. Let w = 0.93 - -0.07. Is w at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - o**2 + 8*o - 2. Let s(m) = -m**2 + m - 1. Let n(h) = -b(h) + 4*s(h). Suppose 0 = -4*j + 59 - 11. Suppose -3*p + j = -0*p. Give n(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 - 6 - 1 - 38970*m + 1.\nAnswer: m**2 - 38970*m - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -38708454 divided by -4?\nAnswer: 19354227\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-5\/6))\/(k\/((k\/(k*k\/k**(-16)))\/k))*(k**(-7)*k*k*k*k)\/(k*k*k**36) assuming k is positive.\nAnswer: k**(-349\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 13. Let l be i(6). Let o(y) = y. Let w be o(5). Suppose l = w*x - 2. Solve 2*h + 12 = x*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/27186557 or -1?\nAnswer: 6\/27186557","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-525)\/(-135)*9\/(-15).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*d + 71*d = 144*d. Suppose -5*x + 2*z = -23 - 7, -5*z - 41 = -4*x. Suppose -3*k + x*k = 4. Solve -2*w + k = -d for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140 - ((-30 - -6) + (-39 - -7) + 38)\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32626 to the power of 1\/2, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l = -3*v + 40368, 2*v + 40348 = 3*l. Let f = l - 3452. Round f to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t**3 + 11*t**2 - 5*t + 11. Let d(i) = i**3 - 4*i**2 + 2*i - 4. Calculate 11*d(n) + 4*s(n).\nAnswer: -n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of 3*a**4\/4 - 4*a**3 + 6*a**2 - 10. Find s such that z(s) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 = 18*p + 4*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 34*m + 15*m - 2*m**2 + 9*m + 7*m. Let g(d) = -4*d**2. Calculate o(g(y)).\nAnswer: -32*y**4 - 260*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwxwwax. Give prob of sequence ww.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*s - 20 = 0. Let p be (-9)\/s + (2 - 0). Let u = -2.3208 + 1.9208. Which is the third smallest value? (a) p (b) u (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 2. Let u(i) = 1. Let n(x) = -4*q(x) - 10*u(x). Let f(z) = z**3 - 9*z**2 - 9*z - 9. Let k be f(10). Suppose 7*p - k = -22. Give n(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 229.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -0.047049441?\nAnswer: 0.147049441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.2222, -1, 0.5 in decreasing order.\nAnswer: 0.5, -0.2222, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000344845 to six decimal places.\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -21\/194710?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 22482 (b) 4 (c) -0.1 (d) 4\/5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.36*-7.\nAnswer: -9.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-6\/19)\/t)\/t)\/t**(14\/5) assuming t is positive.\nAnswer: t**(-486\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 442833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -35. Let j(h) = -h**2 - 58*h - 787. Let w be j(-22). Solve w*q - 1 = b for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1458.607 * 1.\nAnswer: 1458.607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*p + 1642729 = -2*k, -4*k = p + 547563. Let j = -77579 - p. Round j to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 21191, 0.31?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -389, 33, 3\/2, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 605*v - 15908. Determine q(26).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -644*y + 30. Let r(l) = -36707*l + 1704. Give 284*b(j) - 5*r(j).\nAnswer: 639*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 74*v**2 + 6*v - 1. Let t(s) = -s**2. Give c(t(o)).\nAnswer: 74*o**4 - 6*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 18\/5 of a centimeter?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((-3 + -1 - -13) + (-7 - 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-712)\/(-178)*2\/4. Let m(l) be the first derivative of 0*l + 5\/4*l**4 + 5*l**u - 9 - 5*l**3. Determine x so that m(x) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(34)*3)\/(sqrt(8)\/((sqrt(168)\/sqrt(7))\/sqrt(6)))*-6.\nAnswer: -90*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2148 and 9000120?\nAnswer: 9000120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -c**4\/4 + 11*c**3\/3 - c**2 + 22*c - 87. Let b be d(11). Solve -5*w + 11 - 1 = b for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-480)\/9 + (-4)\/6. Let x = i - -61. Suppose -x = -4*k - a, -13 = 3*k - 5*a - 1. Solve 3*y + k = 2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1600 + -4?\nAnswer: -1604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 180, -2, 1, -92, -1, -4, 5 in descending order.\nAnswer: 180, 5, 1, -1, -2, -4, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1525477 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 5:04 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**(-42)\/a)*a**8*a**(-2\/33)\/a**(5\/3) assuming a is positive.\nAnswer: a**(553\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 7 - 3*s - s**3 - 22*s**2 + 4*s + 19*s**2. Is h(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 5) + -1 + -2 - 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16809 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 496 - 493. Suppose -31 = -4*d - 15. Solve -f*k - k = 16, 0 = 4*i + 5*k + d for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -311232135 + 1?\nAnswer: -311232134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 10*s + 1. Let t(p) be the second derivative of p**4\/6 + 5*p + 21. Calculate m(t(l)).\nAnswer: 20*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 248, 3, -1 in ascending order.\nAnswer: -5, -1, 3, 4, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 90999, 365300, 822469, 1462506, 2285411?\n\"Answer: 91434*j**2 - j - 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 89 - -3cc?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 8. Let r = 4 + c. Let t be (-1 - -4)\/r + 139. Calculate the highest common divisor of 17 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*-4 - 2*sqrt(35)\/sqrt(5))**2 + (sqrt(63)\/sqrt(9)*1)**2*-6.\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2324100 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6190?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + (sqrt(448) - (1 + sqrt(448))*3 - sqrt(448)) + 2*(0 + sqrt(112) + 1) + 2))**2.\nAnswer: 512*sqrt(7) + 28688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (5 + 0)) + -3 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-1) - 5*-1. Suppose -p - 1 = -x. Let g(r) be the first derivative of r**2\/2 + 2*r + 1016. Determine g(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330374522 to the power of 1\/2, to the nearest integer?\nAnswer: 18176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -27565 (base 16) to base 4\nAnswer: -213111211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in -208, -2, 3\/4, -1463?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4228*n**3*x**2 + n**3*x - 23*n**2*x**2 - 66*n**2*x + 21*n*x - 286*n + 746*x**2 - x wrt x?\nAnswer: -8456*n**3 - 46*n**2 + 1492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 156*x**2 + 3255*x**3 - 3257*x**3 - 629*x**2 to w*x**3 + u + b*x**2 + z*x and give b.\nAnswer: -473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2171*z + 2169*z + 2163*z - 6503*z - z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -u - u. Let c be (u - 0) + (-35)\/25. What is the biggest value in -0.1, c, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, 0, 461, 1205?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 236\/(-232)*(-5 + 17)\/3 + 4.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = s - 188. Is 39 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3655108 - -55?\nAnswer: -3655073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*j = 91*j - 27*j - 1342 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 q when three letters picked without replacement from {f: 3, v: 1, q: 6, n: 8, b: 1}?\nAnswer: 56\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 21*y - 77. Calculate the remainder when 2\/(1\/((-634)\/(-4))) is divided by z(5).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10936706*u**5 + 4054298*u**2 wrt u.\nAnswer: 656202360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/10*(-10)\/(-6).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 97*a + 36. What are the prime factors of c(15)?\nAnswer: 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23949 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/312 and -4\/9?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/7)\/(w**6*w))\/((w*w\/w**(-2\/5))\/((w\/(w\/(w\/(w**7\/w))*w))\/w*w*w)))**(-2\/5) assuming w is positive.\nAnswer: w**(1028\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from keekekeeke. Give prob of picking 4 k.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(sqrt(3) + sqrt(147)*3 - sqrt(3)))**2 - sqrt(132)\/sqrt(108)*4.\nAnswer: -4*sqrt(11)\/3 + 11\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/280 and -44\/3255.\nAnswer: 26040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + (-65)\/(-75))*261. Is v < -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 - h + 3. Let f be r(0). Let q = -91\/18 - -44\/9. What is the nearest to -2\/7 in -4, f, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -5. Let g be (-102)\/27 + r\/9. Sort 0, g, -5 in decreasing order.\nAnswer: 0, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -6*x - 38. Let d(y) = -y**2 + 7 + 7 - 9 + 4*y. Let h be d(-2). Let j be l(h). Solve -f - 2 = -5*k, -j*k + 5*k + 10 = -5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/36 and -4 + (-420)\/88 + 5.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3171622171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = -3*y + 13*f + 10, -f - 1 = 0. Solve -2*o + 6*o + 15 = -y*x, 5 = -x + 3*o for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1) + (9 - (4 - -6 - -5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 118 = -2*y, -l = y + l - 73. What is the greatest common factor of 26 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k + 30*k = -9. Let h be (-3)\/(k\/4) + 5. What is the units digit of (-6)\/h + 304\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 43)*(-15 - -2). Let v = -378 - k. Suppose 4*y - 289 = v. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198010324?\nAnswer: 2, 19, 631, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 - 4 - 2 - 1 + 14.\nAnswer: -2*r**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (16 - (15 - (-8 - -16))) + -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -317313, -317222, -317069, -316854, -316577, -316238?\n\"Answer: 31*s**2 - 2*s - 317342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 4 = -4*k. Suppose -k*l - 4 = l. Let c be 0*3\/(l + -2). Is 2\/13 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*z**3 + 9*z**3 - 2*z**2 - 28*z**3 + 2*z**2.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 200653031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f*k**3 + f*k**2 - 2274*k**3 + 406*k**2 + 25*k wrt k?\nAnswer: -18*f - 13644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(7)*1 - (sqrt(7) - ((sqrt(77)*-2)\/sqrt(11) + sqrt(7))).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104276*f = -104094*f + 4914 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b2c33a4 + -5?\nAnswer: -b2c33a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l - 7. Determine u(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 less than or equal to 8\/527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1462, 2924, 4386, 5848?\n\"Answer: 1462*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/((-10)\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31376 a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10522 rounded to the nearest 100?\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9152657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63 - 2*l - 38 - 24)*(0 + 0 - 3*l).\nAnswer: 6*l**2 - 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by -638?\nAnswer: -25\/638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 82*r**2\/11 + 131442*r\/11 - 6412\/11 = 0.\nAnswer: -1603, 2\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19287 and 18567?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -12 + 17 - 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(-1))\/((21 - 0)\/7). Sort -1, 18, a, 1.\nAnswer: -1, a, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -7*t - 1. Let w be a(-3). Let s = w + -16. Solve 6*x - 4*x + s = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1838\/7 - 263. Let x be 1\/(-2) - (-2)\/(-4). Which is the nearest to x? (a) -0.3 (b) p (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -17*o - 3. Let y = 8 - 10. What is the tens digit of n(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -297? (a) 231 (b) 4 (c) -2\/5 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*x = -131 + 77 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 21988 = 4*c, 45*x + 16503 = 48*x + c. Suppose i - 5*i + 16 = 0. Suppose -i*h + x + 1117 = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3690049 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 16590425?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1160639704?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 7\/((-49)\/14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 20*h**3 - 28*h**2 - 31*h + 87. Let m be c(9). What is the greatest common divisor of 120 and m?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 28 = 9*w. Let a(n) = 5*n. Let k be a(3). Let u = k - w. Solve -s = -5*d - u, 0*d + 2*s - 3 = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171 = -111*f + 130*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**6\/120 + f**5\/10 - 5*f**4\/24 - f**3\/3 + 7*f**2. Calculate the smallest common multiple of 2*72\/(-27)*-3 and k(-3).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + 5 + (sqrt(13) + (sqrt(13) - sqrt(39)\/sqrt(3)) + -5)**2*-6 + -3).\nAnswer: -300*sqrt(13) + 1105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1+-165254.332\nAnswer: -165255.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*s + 1459 - 55 = 0. Let w(n) = -n**2 - 9*n + 7. Let m be w(-7). Is m less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3285, -3283, -3281, -3279, -3277?\nAnswer: -3275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60194768.\nAnswer: 2, 3762173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*n**2 + 33280927 - 66561852 + 33280925.\nAnswer: 22*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 777479.3 years?\nAnswer: 7774.793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.5 rounded to 0 dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 11 = 5. Find the first derivative of 0*p**3 - 4 + f + 2*p**3 + 3 wrt p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 21*f - 414. Determine r(21).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttkm when four letters picked without replacement from kemtmtemmttte.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(448) - 5*(sqrt(448) + 1)) + 4 + 0 + sqrt(448))**2*-3 - (2 + (-6*(sqrt(448) + 0) - (1 + sqrt(448))*-6)**2)).\nAnswer: 144*sqrt(7) + 12137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, a: 5, q: 3}. What is prob of sequence aq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z - 9. Calculate the least common multiple of h(-11) and (1\/(-5))\/((-4)\/20).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*o - 144*o - 99*o - 159*o.\nAnswer: -368*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-60) + 17*1\/30?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -4*a - 32, -148*a + 149*a = -2*c + 19 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340\/1105 - 2304\/52 - -145.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -117 smaller than -1048\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 185188.3ml?\nAnswer: 185.1883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -13*b**2 - 8*b + 5. Calculate y(-3).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7184, 7170, 7154, 7136, 7116?\nAnswer: 7094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32490440*c**3*r**2 - 2*c**3*r - 35*c**3 + 494*r + 73 wrt r.\nAnswer: 64980880*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 13*g - 229. What is the remainder when 463 is divided by m(20)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31038 divided by -739\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nmmnnmmjmmn. Give prob of picking 3 m and 1 n.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + -7 - (1 - (-3 + 10))) + -7?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 297010 to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31383 and 31020352.\nAnswer: 3487","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2155, 4, -5 in decreasing order.\nAnswer: 2155, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 193665623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 10:44 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -271.2?\nAnswer: -135.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 w when two letters picked without replacement from wvwavavavvkv.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 + 2)*(-7*l + 10*l + 8*l) - 625*l + 138 + 305*l + 304*l to r*l + j and give j.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 66*o**2 - 4*o + 3. Let s be t(2). Let u = -5 + s. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 836 is divided by 142?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236*i + 4188 = -1948. Let y = 150 - 75. What is the remainder when y is divided by i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (185 + 170 - 809)*(7*h - 6*h - 10*h) in the form q + j*h and give j.\nAnswer: 4086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/7 + (2783\/154)\/(-23)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7104 + 113669\/16. Let c(i) be the first derivative of -j*i**4 - 31 - 1\/4*i**3 + 9\/8*i**2 - 1\/20*i**5 + 0*i. Suppose c(s) = 0. What is s?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 0. Let p = 22 - o. Let t = -1603 - -1693. What is the greatest common divisor of t and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**2\/4 + 3191*k\/2 + 2849619\/4 = 0.\nAnswer: -419, 6801","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -1)*(-1)\/3. Suppose j*m - 30 = -5*m. Solve -5*a = -4*t - 25, 2*a - m*a = -t - 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (224\/20 + -10)*(-5)\/(-2). Solve -5*p - 1 = w*y, -5*p - 3*y - 4 = -y for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161010251 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j - 14. Let v be r(12). Let a be 1 + v - (-3 + -60). Let h = a + -35. Calculate the remainder when h is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-170)\/(-816)*12)\/((-6)\/4)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**2 + 21*x + 6. Let o(f) = 2*f**3 + f**2 - 25*f + 3. Let b be o(3). Give k(b).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1610)\/(-22) - (-2)\/(-11). Suppose -9 = 3*x - 2*v - g, x + 7 = -5*v. Solve x = n + 5*l, -5*n - 14 = l - 2*l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 1. Let y(v) = -44*v**2 - 3*v + 2. What is -2*h(j) - y(j)?\nAnswer: 46*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/53)\/l*l)\/l)**11*(l**(-10))**4 assuming l is positive.\nAnswer: l**(-2681\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 7:11 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 476 = -2*t. Calculate the greatest common divisor of t and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10445388 to the power of 1\/2, to the nearest integer?\nAnswer: 3232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 + -2.96. Put l, 8, 2 in descending order.\nAnswer: 8, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*m = -91 - 382 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 6:08 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 48188 rounded to the nearest 1000?\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - z + 21. Let p(r) be the second derivative of 3*r**3\/2 - 117*r**2\/2 + 68*r. Let l be p(13). Give v(l).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 9850, -1, 282 in decreasing order.\nAnswer: 9850, 282, 15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 10*y**2 + 10*y + 11. Let s be i(-9). Let z(o) = 2*o**s - o**2 + 3*o**2. Let v(q) = 2*q**2. Determine z(v(w)).\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -73, 630, 21, 4 in decreasing order.\nAnswer: 630, 21, 4, -5, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -70.1617 and -0.16.\nAnswer: -70.3217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/300 and 39\/20.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0676 - -109.5676. Let g = -108 + w. Let k be (-1 + 1 + -10)\/(-2). Put 2\/11, k, 2, g in descending order.\nAnswer: k, 2, g, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -224, 2\/5, -2\/55, 3.5 in increasing order.\nAnswer: -224, -2\/55, 2\/5, 3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-250)\/100*-2 + -46.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 + 1)\/(-1) + 16. Suppose 4*o + 38 = z - o, -c = -z - 4*o. Calculate the remainder when z is divided by (-2 - -14) + 4\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 2071642\nAnswer: -2071642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 66?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -373, -308, -243, -178, -113?\n\"Answer: 65*i - 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207593 is divided by 173.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 1. Let r = -6 - -5. Let x be l(r). Solve 21 = -c + 5*z, -2*c + 1 = -z - x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*f - 2*y + 64, -y - 27 = -f. Suppose -f*n = -31*n + 6. Solve 5*w - 3*c = 2*w + 9, n*c = -3*w - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 - 29*i - 14. Let d be x(-14). Let j be (0\/(-2))\/(-1 - 0). Suppose d = 3*y + 5*o - 57, j = -y + 3*y + 3*o - 37. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10950b - -264?\nAnswer: -109267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + 7. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.954 - 12. Let h = -41.046 - s. Let n = -40.5 - h. Is 2\/11 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**4 - 7881*z**3 - 7902*z**2 + 47304*z = 0. Calculate z.\nAnswer: -3, 0, 2, 2628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + p + 9. Let o be z(3). Suppose w + w + 2*n + 90 = 0, -n + 151 = -o*w. Let c = 118 + w. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/9 - 53\/(-15). Let u be 23 + -29 - (-312)\/35. Let r = j - u. Is r greater than or equal to -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -425058 and -267 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 1736 + 1634 = 0. Suppose -s + 337 = -3*c, -4*s + 2*s + 3*c + r = 0. Suppose 5*l = 4*m + s, -m + 3*m = -l + 73. What are the prime factors of l?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of w**2\/2 - 1. Let y be (-2)\/9 - (-76)\/18. Let x(s) = 3*s + y*s - 5*s - 3*s. What is x(m(z))?\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2697 divided by -63?\nAnswer: -899\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-46215)\/14378)\/(18\/588).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - 1. Let a(k) = -k**3 - 32*k**2 + 13*k + 392. Let o be a(-32). Let w = t - o. Calculate the remainder when 104 is divided by w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/28651746 and 25\/3682?\nAnswer: 200562222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 2*i + 15 - 8)*(-189*i + 410*i + 209*i).\nAnswer: -860*i**2 - 2580*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -l**7\/105 - 31*l**6\/15 + 21*l**5\/5 + 31*l**4\/3 - 125*l**3\/3 + 491*l**2. Solve f(u) = 0 for u.\nAnswer: -125, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 280261 is divided by 68?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*y**3 - 104*y**3 + 4*y**3 + 2 - 66*y**3 - 27*y**3 to p*y**3 + n*y**2 + w + j*y and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -103, -1, 5, -5, 15, 0, -4 in increasing order.\nAnswer: -103, -5, -4, -1, 0, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*w**3 + 11*w**3 + 0*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 965.\nAnswer: -6755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11.9 (b) 0.2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.21 and 5.12518?\nAnswer: 1.0762878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.978249165 to two decimal places.\nAnswer: 3.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(((((w*w**(-3)\/w*w)\/w*w)\/w)\/w)\/w*w))\/w*w*w\/w**3*w**6*w\/(w**(1\/9)*w))\/((w*(w*w**(2\/7))\/w)\/(w\/(w*w**(-1\/2))))**(-1\/4) assuming w is positive.\nAnswer: w**(4579\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17680098 to the nearest integer?\nAnswer: 4205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 36 - 44 = 0. Suppose -31 = -3*c + j. Solve -4*k = 12, 0 = -4*w + 2*w + 5*k + c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s - 120. Calculate r(9).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 185\/4 - 46. Let n = 0.08 - 4.08. What is the third biggest value in 0.5, x, n, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30488 and 2664?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34.82 - 0.18. Let a = j - -34.6. Put -1\/5, -3\/7, 5, a in decreasing order.\nAnswer: 5, -1\/5, a, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-6*5\/20).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyz when three letters picked without replacement from {z: 7, y: 4}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1855 (b) -2 (c) -28 (d) 3 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81 and 15885.\nAnswer: 142965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 + -48. Solve o*w + t = -19, 4*w = -t - 8 - 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 9. Let w be (0 + -1)\/(y\/4). Let t = 0.07 + -0.57. What is the third smallest value in w, -5\/4, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, s: 6, n: 7, e: 1}. What is prob of picking 3 s?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1882514 to the power of 1\/2, to the nearest integer?\nAnswer: 1372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2951095 (base 10) to base 4.\nAnswer: -23100132313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -121481.\nAnswer: -12148.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5212 is divided by 137?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 1:14 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 19. Let l(m) = m + 11. Calculate l(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**3 + 215*b**2 - 450*b = 0. Calculate b.\nAnswer: -45, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 7:11 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -7. Suppose 0 = 5*k - 4*d - 47, 5*d = -7*k + j*k + 20. Let i = k + 2. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25078 is divided by 162?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 113931 and 153?\nAnswer: 1936827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15086*g**3*h**2 - 5*g**3 + 4*g**2 - 6*g - 3*h wrt h?\nAnswer: -30172*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2. Let f(n) be the first derivative of 141*n**3 + 1402. Calculate f(r(l)).\nAnswer: 423*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 372*k**2 + 611*k - 51229. Calculate j(-374).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*6\/594*(-1827)\/1218.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44019 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o + 10*o - 5*o - 2*o - 2 + 2 + (2 + 3 - 3)*(-15*o + 3*o + 0*o) - 3 + 3*o + 0*o + 2*o in the form f + c*o and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p - 2. Let s be j(-3). Solve -3*f = -d - 2, 0*f + f - 2*d + s = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 4)*(-v - v + v)*(4 + 19 - 1).\nAnswer: 110*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16284 = -4*f + 3588. Let i be (6\/4)\/((-23)\/f). Suppose -3*p = -6*p + i. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -243, -236, -229, -222, -215, -208?\n\"Answer: 7*t - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2340233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from ccccqqccqc?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**3\/9 + 8*q\/3 - 32\/9 = 0?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.43 - 0.43. Let i = 22 - x. Which is the third smallest value? (a) 1\/2 (b) i (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 5:36 AM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13*c**3*u + 16410*c**3 - 17*c*u**2 + c*u - 2*u wrt u.\nAnswer: -13*c**3 - 34*c*u + c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, o: 4, k: 4, h: 10}. Give prob of picking 2 k.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1176 + 1180 - ((-26 - -1) + 1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + -55. Let r = -74.92 - o. Let y = r + -0.08. What is the smallest value in y, 1\/4, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j - 95 - 16 + 63 + j**2 to r*j**2 + m + z*j and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of d**5\/90 - 155*d**4\/36 - 52*d**3\/3 + 618*d**2. Solve b(f) = 0.\nAnswer: -1, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2 - 2 = 0. Let y(d) = -3 - 3 - 7*d - d**r - 1. Give y(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -0*y + 40. What is the third derivative of -y*s**3 + 207*s**2 - 3*s**4 - 147*s**2 + 2*s**3 wrt s?\nAnswer: -72*s - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 144581 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 81712 - -6015568\nAnswer: 6097280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uis when three letters picked without replacement from {i: 1, u: 1, r: 2, s: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -37. Let c be 714000\/(-1*3\/s). Round c to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16099862761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1302970?\nAnswer: 2, 5, 29, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -58621.568 rounded to the nearest one thousand?\nAnswer: -59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -9*m. Let a(f) = 467*f - 241*f - 244*f. Determine 3*a(c) - 5*t(c).\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = y - 16, -2*y = -2*z - 6 - 14. Suppose -5*l + 0*k - 4*k + 82 = 0, 0 = -5*k - 10. Let w = l - y. Put w, 1\/6, 0.2 in decreasing order.\nAnswer: w, 0.2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 2. Let b be o(-2). Suppose -9*f = -10*f. Is f > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1043 and 5691.\nAnswer: -5935713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 3*l**2. Let j(p) = 4*p**3 + 13*p**2. Let g = 328 - 332. Let n(r) = -r**3 - 8*r**2 - 19*r - 18. Let m be n(g). Give m*j(o) + 26*a(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wismx. What is prob of sequence ix?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 73176 to the power of 1\/2, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 7. Let g = -3 + 4. What is the closest to -2\/7 in g, -0.3, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/15520 and -71\/4035200.\nAnswer: 4035200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1480 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/27)\/(3\/(-9))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2579625968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-27 + -13 - -50).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1903280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 90*n**5\/7 + 71034*n**4\/7 + 6033072*n**3\/7 - 17099160*n**2\/7 - 6586176*n\/7 + 4982400\/7 = 0.\nAnswer: -692, -100, -2\/3, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59822.6 meters to kilometers.\nAnswer: 59.8226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 17, r: 1}. What is prob of picking 1 r and 3 b?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxxxxxxxxxxxtx. What is prob of picking 2 x and 2 t?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 212 and 477.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -488 + 488. Suppose j*w = -5*w + 240. What is the highest common factor of 400 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -2)*(7 + 2). Suppose -52 = 2*t + 4*q, 0 = 2*q + u - 1. Let v = t - -33. Solve -5*s + 1 = y - 0, -s - v = 4*y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 4*k - 33 + 45 = 0, -2*k = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*(-2 + 1) - (-2)\/(-6 - -7). Which is the third biggest value? (a) 2\/11 (b) j (c) 93.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 81*m + 1. Let u be t(5). Let b = u - 116. What is b rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -67, -65, -61, -55?\n\"Answer: n**2 - n - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 25*k**2 - 107*k - 239. Determine z(21).\nAnswer: -722","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3802*m + 262364. What is f(-69)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**3 + 8*l**2 - 10*l + 15. Let k(w) = -w**3 - w + 1. Let j(b) = -2*k(b) + t(b). Let a be j(7). Sort 4, a, -1 in decreasing order.\nAnswer: a, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 AM and 7:19 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7910*d - 124545 wrt d?\nAnswer: 7910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 430499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 6870134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = 138 - 50. Calculate the highest common factor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8087, 4661, 1247, -2149, -5521, -8863, -12169?\nAnswer: -15433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 h when two letters picked without replacement from hyrrhhh?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6b31b5 (base 12) to base 3\nAnswer: -10020201101102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*o - 38*o + 20 = 0. Solve o*j = -0 - 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -16.727\nAnswer: -83.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -334232 (base 8) to base 15\nAnswer: -23649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5761 = 1249*t - 426*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9701c (base 16) in base 3?\nAnswer: 1011102110022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -3*p - 1\/6*p**4 + 0*p**5 - 1\/6*p**3 + 1\/15*p**6 + 0*p**2 + 1\/42*p**7 + 0. Suppose r(q) = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 6*q + 10. Let p be h(8). Let t = p - 33. Factor 5*m - t*m**2 + 51*m**2 + 1 - 22*m**2.\nAnswer: (m + 1)*(4*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(-3)\/18 - 88\/(-33). Let y(z) = z**3 - 7*z**2 - 31*z + 14. Let a be y(10). Solve -r*b = -a*g + 3, -2*g - b = -3*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*f - 67*f = 342 + 2332 + 284 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 56021.71 and -6.56297.\nAnswer: 56015.14703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2\/10*(-2)\/(-6)*3\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/3 and -58\/217383?\nAnswer: 217383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3565, -3567, -3569, -3571?\n\"Answer: -2*s - 3563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -445339 and -0.08.\nAnswer: 35627.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -652314 by 50178.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-20)\/(7 - 3) - -2. Calculate the common denominator of 1 - (1044\/56)\/w and ((-207)\/6 - -2)\/2.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**4 - 77*r**3 + 218*r**2 + 308*r - 888 = 0. Calculate r.\nAnswer: -2, 2, 3, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 188*b**3 + 6*b**2 + 6*b - 426. Let a(j) = 3*j**3 - j**2 - j. Let v(o) = 6*a(o) + i(o). Find the first derivative of v(d) wrt d.\nAnswer: 618*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13365 - 11466. What is the greatest common divisor of 99 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17185944 is divided by 2110.\nAnswer: 2104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212*j + 12 - 12.\nAnswer: 212*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2363906735 to the nearest integer?\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-930)\/58 - (-681)\/19749.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 2283*c**2 + 8 - 13685*c**2 - 7134*c**2 as u + x*c + y*c**2 and give y.\nAnswer: -23102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 8:10 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -32, -518, 4 in increasing order.\nAnswer: -518, -32, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a century in years?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45628883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-8)*(-22092)\/(-476819).\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -114167 or -799178\/7?\nAnswer: -114167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 692185 times -0.02\nAnswer: -13843.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -2 - 2*b - 2\/3*b**3 + 1\/4*b**4 + 0*b**2. What is the units digit of x(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 y, and 2 j when four letters picked without replacement from jdyqywwywrj?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -8993\/40 and -226 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.15 plus -6?\nAnswer: -4.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-12))\/(10\/120*2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lt when two letters picked without replacement from lttktkkkktltktl?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 11*s + 17. Let q be j(-12). What is the first derivative of -h**2 - 4*h**2 + 6 + 3*h**2 + q wrt h?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*l - 5*l - 13 - 20*l to n + q*l and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 4:56 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/3 and -2 + (-690)\/(-153) - 2.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 304 + -252 + (-5 - -1 - 0 - 8).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02014478629 rounded to six decimal places?\nAnswer: -0.020145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 317, 1441, 3631, 7151, 12265, 19237, 28331?\n\"Answer: 44*u**3 + 269*u**2 + 9*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003733 rounded to seven dps?\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -77*u + 14*u - 590 + 149 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3255*b**2 + 1054*b + 527. Let l(r) = 37*r**2 + 12*r + 6. Let c(n) = 6*k(n) - 527*l(n). Let p(u) = u**2 - u**2 + u**2. Give p(c(o)).\nAnswer: 961*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(1100))**2.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -22164\/13 less than -1706?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3870 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 12 = -3*f, -5*v + 17 = 2*f - 3*f. Let q be 0\/((-2)\/2 + v). Suppose 0*o - 3*o - 141 = q. Round o to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**2 - 18*j - 3. Let y(t) = -8*t**2 + 54*t + 8. Give 14*f(o) + 5*y(o).\nAnswer: 2*o**2 + 18*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -5. Let p(b) = -b**3 + 4*b**2 + 5*b - 6. Let k be p(o). Calculate the least common multiple of (k\/4)\/((-3)\/16) and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6238 - -11524?\nAnswer: 17762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4387558 + -0.4388. What is d rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*3*2\/24*-4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 + 46. Let s be 3870\/16 - c\/32. Calculate the highest common factor of s and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 - -20. Suppose 0 = s*a + q - 3*q - 74, -4*q = 8. Let d(z) = 27*z + 2. Let r be d(2). What is the greatest common divisor of a and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(252))**2 - (sqrt(175))**2*3.\nAnswer: -257 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-6)\/(i*i**(-2\/5)))\/(i\/i**6*i**(-1)) assuming i is positive.\nAnswer: i**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/12 or 386382?\nAnswer: 13\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2\/3*h**3 + 0 + 0*h**4 - 1\/3*h**5 - 1\/3*h + 0*h**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400*o - 826 = -1664 - 2362 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7535 - 15?\nAnswer: 7520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 100919 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9702753891.9276489706 - 9702753891. Let x = s - 197.9276498806. Let f = -197 - x. Round f to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1764 = 4*h + 1764. Factor -3\/5*x**2 + h + 3\/5*x.\nAnswer: -3*x*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(700) + 4 - sqrt(700)) + 5)*-2 - (1 + -2 + sqrt(700) - (sqrt(700) + (sqrt(700) + -1)*-5)))**2.\nAnswer: 1200*sqrt(7) + 17640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 + 2*q**2 - 3*q + 26. What is the remainder when 101 is divided by p(0)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 96*a**3 + 16*a**2 - 2*a - 24. Let p(i) = 32*i**3 + 5*i**2 - i - 7. Let v(l) = -5*n(l) + 16*p(l). Find the second derivative of v(z) wrt z.\nAnswer: 192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b**3*k + 11*b**2*k + k + 190 wrt b?\nAnswer: -6*b**2*k + 22*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**4\/12 + h**3 - h**2. Let z(v) = 2*v - 4 + 0*v - 1. Let x be (-3 - -2)*(-2 - -6) - 3. Calculate x*z(r) - 6*u(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1103 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -277 - -276.5. Which is the closest to 0.4? (a) t (b) -0.4 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(9\/(-6))\/(1*3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2*6 - 12. Let t = 11 + g. Suppose t*x + 5 - 119 = 0. Does 19 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p**2 - 6*p + 8. Let s be h(4). Let i = -65 + 73. What is the highest common divisor of i and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*l + 15*l - 4*l**3 - 9 + 3 + 0 - 3*l**4 to s + w*l**3 + t*l**2 + d*l**4 + m*l and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 10*i - 11. Let n be u(-8). Suppose -376 = -2*x - p + 5*p, -4*p = x - 158. Suppose 4*v - 86 = v + 4*b, -n*v + x = 2*b. Is v a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**7*s**(4\/9)*s**(-2\/5)\/(s**5\/s))\/((s**(2\/3))**11*s*s**0*s**(-6)) assuming s is positive.\nAnswer: s**(32\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8660557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 greater than 1495.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, k: 9}. What is prob of picking 1 k and 2 e?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -362, -732, -1104, -1478, -1854, -2232?\nAnswer: -2612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 200*q**5 + 300895*q + 2 - 300885*q - 14 wrt q?\nAnswer: 4000*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4366, -35229, -119086, -282433, -551766, -953581, -1514374, -2260641?\nAnswer: -3218878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 383072\nAnswer: -1\/383072","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 5*n = 3*n - 9, 3*k - 4*n + 21 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-2))\/(2 - 1). Solve 2*v - 3*v = d*z, 2*v - 4*z = 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37872 divided by 8.\nAnswer: -4734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -190 by 190.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 236, 777, 1714, 3131, 5112, 7741, 11102?\n\"Answer: 14*y**3 + 114*y**2 + 101*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 5*x**2 - 5*x + 4. Let v(s) = s - 11. Let b be v(6). Let a be o(b). Let r = -20 + a. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 878384 a multiple of 656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5160531, 5160533, 5160535, 5160537, 5160539?\n\"Answer: 2*d + 5160529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n = 120. Let x be 21\/56 + -556*91\/(-416). Is n equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -315, 4, -5 in descending order.\nAnswer: 4, 0, -5, -315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1249 - 1249 - 18*y - 1240 - 1238 + 4976.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -7 + 4*g - g + 2*g. Let j be r(7). Calculate the highest common divisor of 112 and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 20\/17, 1\/2, -16?\nAnswer: 20\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -24. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b. Let c be ((-24)\/27)\/(10\/45). Let d(w) = 0*w - 3*w + 9*w. Let n(m) = m**3 - 9*m**2 + 5*m + 3. Let h be n(8). What is c*d(q) + h*k(q)?\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 4.5653\nAnswer: -18.2612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14469 and 336.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -18*r - 165. Let y be b(-9). Let s be 809*(-36*1 + 3) + y. What is s rounded to the nearest one thousand?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l + 6 - 3*l - 4 - 1 - 37*l.\nAnswer: -31*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37886 is divided by 924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 766 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: What is 454891.9nm in kilometers?\nAnswer: 0.0000004548919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33067141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001301 rounded to seven decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2126, -1994, -1772, -1466, -1082, -626, -104?\nAnswer: 478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 648, -3\/4, -0.5, 4, -3 in ascending order.\nAnswer: -3, -3\/4, -0.5, 3, 4, 648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 3*m - 34 + 24 = 0, -h = m + 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2120120303 (base 4) to base 7\nAnswer: 5206523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*h - 53*h**4 + 167*h**4 - 55*h**4 + 35 - 55*h**4 wrt h.\nAnswer: 16*h**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 105686.601 to the nearest one thousand.\nAnswer: 106000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 76*g**3 + g**2 + 3. Let h be w(2). Suppose -5*d + u + 753 = 0, -2*u - 3*u - h = -4*d. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -7\/60*m**5 + 0 - 1\/3*m**3 + 0*m + 3*m**2 + 0*m**4. Differentiate l(k) with respect to k.\nAnswer: -14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112001221 (base 3) to base 11\nAnswer: -7786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*n + 6*x - 9*x, 5*n + 4*x = 24. Solve 45 = -n*t - 11*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 8:11 PM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2 + 0*l + 2*l + l. List the prime factors of c(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105 and 14511.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + a = 9, 2*i - 5*i = -4*a - 2. Suppose y + i*s - 8 = 0, 4*y = -5*s - 23 + 52. Let d(q) = q - 6. Let x be d(y). Solve x*r = -3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (22 + -3 + 0)*1. Let o(b) = b**3 - d + 8*b - 2*b + 11 + 7*b**2 - b. Calculate o(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 2. Let u(j) = 17*j**2 - 5. Let h(m) = 8*m**2 - 2. Let g(t) = -13*h(t) + 6*u(t). Calculate -4*g(f) + 7*w(f).\nAnswer: f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 686 - 691. What is the biggest value in k, -1, -6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 30700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/147)\/((-104414)\/(-64491))\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 357770000 to the nearest one million.\nAnswer: 358000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of -t**4\/12 + 4*t**3\/3 + 5*t**2\/2 + 3*t. Let g be x(5). Suppose -9 = -c - d, 2*c + 5*d = 2*d + g. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(357)\/(sqrt(175) + sqrt(175)*-1 - sqrt(7)))\/(sqrt(24)\/(sqrt(968)*-1))*-2.\nAnswer: -22*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -63133486*c. Let t(s) = s**2. Calculate v(t(j)).\nAnswer: -63133486*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 610085 = -5*v, -2*v = 2*o - 267366 + 23334. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + p - 0 + 5, -3*p = 3*d + 15. Solve d*y - 3*y = 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4332, 4324, 4316?\nAnswer: 4308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 557.6401 millilitres in litres?\nAnswer: 0.5576401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-156)*(-40)\/(-25)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tpn when three letters picked without replacement from ttfnttpptttpttnf?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s - 4*s - s**3 + (0*s + s**2 - 6*s - 3*s**2)*(0 - 6*s + 0) to h*s**3 + c*s + p + l*s**2 and give l.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*k**2*x**3 - 107*k*x**3 - 3*x**3 + 656*x**2 with respect to k.\nAnswer: -54*k*x**3 - 107*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24362?\nAnswer: 2, 13, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30\/11? (a) -807 (b) -4 (c) -2.3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19810537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x - 4. What is a(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + c - 15, -2*c + 18 = -2*o + 2*c. Let n be (0\/(-3) - o)*-2. Let q be (-23 + -2)*n\/15. Calculate the greatest common factor of 70 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -72*l - 2. Let h be g(-1). Let i = 123 - h. What is the tens digit of (-2)\/((-4)\/(-2)) + i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 8:19 PM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*o - 110886 + 55434 + 55450.\nAnswer: -234*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 3, -0.04, -0.4, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62)\/(-14 - (15795\/(-30))\/39).\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -12*v**4 + 3*v - 27*v**3 + 27*v**3 - 13*v + 53. What is the first derivative of z(i) wrt i?\nAnswer: -144*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 + 65. Suppose -18*l + m = -3*l. Let b = 3 + -2. Solve -n + b = -u + 5, 5*u - 20 = l*n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, p: 16}. Give prob of sequence gg.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 34*d - 208. Determine m(-23).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/6 - 3523946*i - 18627293116374.\nAnswer: -(i + 10571838)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209 = 9*v + 4*u, 64*v - 7*v = 53*v + 3*u + 112 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 49 - 61. Suppose 2*n = -4*g + 46, 4*n = 2*n + 3*g + 18. Let m = n - v. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**13*g\/(g*((g\/(g*g\/g**(-4\/7)))\/g)\/g)*g**(2\/17)\/(g\/((g\/((g*(g\/g**(-1\/8))\/g*g)\/g))\/g)) assuming g is positive.\nAnswer: g**(13865\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 18*o**2 + 10*o + 22. Let v be h(9). Let x = -310 - v. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 2. Suppose 0 = -g - i*g - 5*d + 45, 25 = 3*g + 2*d. Suppose 0 = -s - g*y + 10 + 5, 0 = -3*y + 6. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a millennium in decades?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -908919 divided by -9181?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 28*x**2. Let t(g) = -11 - 2*g + 11. What is c(t(b))?\nAnswer: 112*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 21*c**2 + 5. Let b(n) = 11*n**2 + 3. Let o be (-3 - 12\/(-3)) + -4. Give o*s(z) + 5*b(z).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 40707, 40374, 40055, 39756, 39483, 39242?\n\"Answer: t**3 + t**2 - 343*t + 41048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in centuries?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 12*h - 14. Let s be a(-11). What is the lowest common multiple of (-2 - -6) + (3 - s) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4118\/(-116))\/71)\/((-7)\/(-9))?\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 127.20465ns to hours.\nAnswer: 0.000000000035334625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1620740?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 320*r**2 - 65524*r\/3 + 91.\nAnswer: (4*r - 273)*(240*r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8327, 16331, 24335, 32339?\n\"Answer: 8004*l + 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/33 (b) 1 (c) -473.35 (d) -3 (e) -1\/4 (f) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -335*j - 440*j - 893*j - 323*j + 88*j to the form m*j + y and give m.\nAnswer: -1903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 8:50 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/4)*c)**50 assuming c is positive.\nAnswer: c**(125\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, z: 8, h: 2, y: 4, c: 4}. Give prob of sequence hycz.\nAnswer: 32\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -45426176725 plus 0.4?\nAnswer: -45426176724.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 + 14*p**2 - 2*p - 11*p**2 + 2*p.\nAnswer: 3*p**2 + 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = r, 2*z + 2*r = -0*r. Let f(b) be the third derivative of -1\/24*b**4 + b**2 + 0*b + 1\/3*b**3 + z. What is the first derivative of f(y) wrt y?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 683 - 683. Sort -4.5, 4, 0.2, t.\nAnswer: -4.5, t, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8352756379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-58562)\/24 + 2\/6. Let b = g + 2452. What is the common denominator of b and (-10)\/25 - 42\/(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2. Let d(i) = -1208*i**2 + 2718*i - 906. Let n(l) = -l**2 + 3*l - 1. Let k(u) = -2*d(u) + 1812*n(u). Calculate k(t(g)).\nAnswer: 604*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**3 + 2*n + 5. Let l be h(-3). What is the tens digit of (-4)\/(-6) + l\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 233 by -186.\nAnswer: -233\/186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 186.5 rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) 0.5 (c) -70\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 3\/(2\/(-2)). Let w(m) = 2*m**2 + 4*m - 5. What is the tens digit of w(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46334*g**4 - 54296*g**2.\nAnswer: -1112016*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39907720 is divided by 4434189?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5026 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/2002238 and -101\/5434646.\nAnswer: 38042522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -122 and 58474.\nAnswer: -7133828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.894, 0.1 in decreasing order.\nAnswer: 3, 0.894, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c - 42. Let k(u) = -3*u + 84. Let w(q) = 5*h(q) + 3*k(q). Suppose n - 11 = 4. Calculate the remainder when w(0) is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-119)\/12495*15*-210.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 10*f + 8. Suppose 0 = 4*p - 8*p + 40. Determine y(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -x + 3, 3*x + 5*p - p = -23. Let a = -5 - x. Suppose a = 5*f - 0*f + 85. What is f rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -4 - (21\/(5985\/1007) - 2\/(-12)).\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4008 by 4.\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 294 and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 2. Let s = 316 - 322. Let g be 2\/(-2)*7\/((-7)\/s). Determine t(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -12*z**2 + 2*z + 50. Let f be x(0). What is the highest common divisor of 90 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 785 - -42. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 602988?\nAnswer: 2, 3, 109, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9463 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 + 12*l + 1. Let s(w) = w - 12. Let m be s(4). Let k be j(m). Solve -4*y = 8, -5*f + y - 5*y - k = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 298 + -275. Suppose -k + 200 = t. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g**2 + 3*g + 297. Calculate the remainder when f(0) is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2220 + -1433235?\nAnswer: -1431015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358303?\nAnswer: 11, 32573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -5\/8, -4, 0.5, 1 in ascending order.\nAnswer: -4, -5\/8, -0.4, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2847312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38*h*r**2 + 553683*h - 14352*r**2 wrt r.\nAnswer: -76*h*r - 28704*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -543\/2 + 272. Let p be 23\/13 - (-6)\/((-6)\/1). Which is the second biggest value? (a) p (b) 0.2 (c) 0.1 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19419431 rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 4. Let y(r) = -4390*r - 48. Give 12*n(b) + y(b).\nAnswer: -4378*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4658?\nAnswer: 2, 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 827*l - 82. What is the hundreds digit of r(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3744060?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*y - 16, 3*i - 4*i + 1 = -3*y. What is the least common multiple of 40 and -4*((-8)\/i)\/(8\/100)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.834 + -0.166. What is the closest to 4\/7 in 0.4, 2, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63 or -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 264470695 to the power of 1\/2, to the nearest integer?\nAnswer: 16263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 6:32 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3149106182 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/(-1) - 1)\/(10\/230). Let g = -162 + y. Does 12 divide (-3 + g\/(-15))*57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 3 - 3 - 2. Let h be u(7). What is the units digit of (-8)\/28 + h\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -216*w - 578*w - 545*w + 431*w as x + d*w and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 + 25. Let r = -19 - f. Suppose 0 = 2*h + s - 67, r = h - 0*s + 2*s - 38. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - -1576.124\nAnswer: 1588.124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 457496 divided by -2.\nAnswer: -228748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 8:28 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (-5 - -9) - (-3)\/(-1). Which is smaller: -1\/13 or z?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 52 = -4*r, -33*m + 31 = -28*m + 3*r. Solve -m*b = -6*b - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 19*a**2 + 11*a + 1. Let y(q) = 54*q**2 + 33*q + 2. Determine 17*i(c) - 6*y(c).\nAnswer: -c**2 - 11*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 18837147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29333*m + 29413*m - 58746*m - 32*m**2.\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z**2 - 4. Let q(h) be the first derivative of 4 + 0*h - 49\/2*h**2. Give w(q(a)).\nAnswer: 98*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 + 6 = 8*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37 + (3 - 3)\/(-1).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f + 1. Let k = 11 + -8. Suppose -27 = -5*q + k. Determine i(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5*y = 8 + 4, 0 = -u + 3*y + 12. Solve u = -4*t + t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25 in 1, -222, -1\/6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*o = -7*o - 9, -5*z = 4*o + 12. Which is the nearest to 12? (a) -0.5 (b) 2 (c) z (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**0))**(-1\/42)*(m**(-6)*m*m)\/m**6*(m\/(((m*m\/m**(-2))\/m)\/m)*m)**21*(m\/(m**(-3)*m))\/m**(2\/15) assuming m is positive.\nAnswer: m**(-107\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o**4 - 4*o**2 - 8*o + 4. Let c(d) = -6*d**4 + 5*d**2 + 9*d - 5. Let f(q) = -4*c(q) - 5*w(q). What is the second derivative of f(t) wrt t?\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) -2\/5 (c) 0 (d) 645\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29238 is divided by 136.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**5 + 417249*q**4 + 14510355369*q**3 + 159578027403*q**2 + 507712236480*q + 362644147200 = 0.\nAnswer: -69536, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u - 159. Let y(j) = -2*j. Determine y(b(g)).\nAnswer: 2*g + 318","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 4*c**2 - 5*c - 5. Let f be s(5). Let i = 3 + f. Let z = 39 + i. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 742 and 32424.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -0.92, -8, -3\/2, -134\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2078 (b) -1085 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 7*y**3 + 5. Let w(m) = -6*m**3 - 4. Suppose 2 = -2*a + 4*j, 33 = -5*a - 4*j - 0. Calculate a*w(k) - 4*f(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -1, -2, -4, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18, -27, -16, 33, 138, 317, 588?\n\"Answer: 3*p**3 - 8*p**2 - 6*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + ((sqrt(300)*-2)\/sqrt(6))**2 + 1).\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 y, and 2 e when four letters picked without replacement from {y: 1, e: 7, b: 2, h: 6, f: 2, z: 2}.\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/6)\/(36\/56). Let d = -1\/9 - r. Which is the smallest value? (a) -0.2 (b) d (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 523875.6 millennia?\nAnswer: 6286507200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -t + 4*i + 20, -2*t = 4*i. Let k(a) = 2*a**3 + 2*a**2 + 3*a + 8. Let x be k(t). Calculate the greatest common divisor of x and 120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 19 = 3*b - 27, 20*g = -5*b - 10 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.003 + 0.003. What is the closest to 0.1 in -1, -7\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 + 1.3. Suppose 7 = 3*b + 2*c, -1 = 5*b + 4*c - 16. Let j = 86 + -177\/2. Put x, j, b in descending order.\nAnswer: x, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + c = 4*c + 931, -2*c = -3*y + 559. List the prime factors of y + -14 + (-2)\/(-2).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-42)\/5*-1)\/(2\/95). Let i = s - 278. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13685.\nAnswer: 5, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 28*k**2 - 45*k + 29. Let b be p(35). Suppose 5*a = 14*a - b. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 306*j - 153*j - 1 - 162*j to t + z*j and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*q + 197549 = 51*q. Let g = -56549 + q. What is g rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -84581 greater than -84582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 3*y**2 - 2*y + 2. Let d be x(2). Let z = 156 + -153. Which is the nearest to -0.3? (a) d (b) 1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - (3 + -2))\/1. Suppose s = 4*b - 26 + 6. Which is bigger: b or -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.5 + 16. Let j = 4 + -5. Let r = -2 + 4. Which is the nearest to j? (a) r (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15095 is divided by 274.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dlo when three letters picked without replacement from ldddo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7007 and 13783?\nAnswer: 1254253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -6. Let d(n) = -6*n**2 - 8*n - 5. Let l(j) = 3 - 3 - 1 + 5 + 5*j**2 + 7*j. Let m(w) = 4*d(w) + 5*l(w). Give m(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**6\/120 - r**5\/30 - r**4\/8 + 2*r**3\/3 - 6*r**2. Does 6 divide a(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 q, and 1 i when four letters picked without replacement from {o: 3, t: 5, m: 5, q: 4, i: 2}?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (68\/44)\/(7\/5). Let l = j - 9\/11. Let w = 403 - 408. What is the second smallest value in -0.4, w, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5\/3 (b) 0.12 (c) 73 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a**4 - 4*a**3 - 5*a**2 + 4*a - 4. Let x(f) = f**4 - f**3 - f**2 + f - 1. Let q(m) = 4*x(m) - z(m). Factor q(b).\nAnswer: -b**2*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/9 + (-3 - -2). What is the remainder when 6\/8 - (w - (-3255)\/(-28)) is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-28)\/(-18)*(-6228)\/(-1384). Let g(c) = 7 + 0*c**2 + 2*c**2 + 0*c**2 - 10*c. Determine g(k).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -s + 284, m - 10 = -m. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -847eb (base 16) to base 9\nAnswer: -1016388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 127*m = -131*m - 16, -5*m = -4*g + 21 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -130062\/11 + 11824. Factor 18\/11*c**3 + i*c + 0 - 12\/11*c**2.\nAnswer: 2*c*(3*c - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uollolrfrmol. Give prob of picking 1 o, 2 l, and 1 r.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 40079 = 280556\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h*h**(3\/7))\/h*h)\/h*h)\/h)\/h)\/(h\/(h\/(h\/h**3*h)))*(h**(-1\/4))**(-25)*h*h\/h**(-3)*h\/h**(-5)*((h**(-1\/2)\/h*h)\/h*h)**(-46) assuming h is positive.\nAnswer: h**(1139\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 8:21 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) -3\/460 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d + 1212 + 2084. Let i = -249 - d. Suppose -w = -0*b + 3*b - 45, 2*b = -3*w + i. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 7\/2)*-12. Solve n*t = -2*m + t + 22, -2*m + t = 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (160\/6)\/(-16)*3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/1*112\/(-12). Suppose -16 = -b + 5*l, 0*l + 5*l + v = -2*b. Let i be b\/10 - (-804)\/10. What is the greatest common factor of 32 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2893149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*x + 1450 = -70*x + 53*x for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (8 - 8 - 2) - 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -4\/5, -1, 0.2, 76, 75, 4, 208?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -172215\nAnswer: 17221.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(3 - (-153)\/(-48)). Let p be 1 + -2 + (-64)\/s. Let n = 2 + -3. Which is the third smallest value? (a) p (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 7:36 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114 - -20?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express k + 4*k - 4*k + (3*k - 4*k - k)*(16 + 2 + 2) + 5*k + 4*k - 4*k in the form i*k + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/48 and 41\/87.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41452?\nAnswer: 2, 43, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 2. Let f be y(-2). Suppose 0 = f*t - 5*b - 20 - 81, 5*t = -4*b + 236. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 2 + 7. Suppose 4*n - 27 - 29 = 0. Suppose -2*o + 5*z + n = -4, 4*o = z + 18. Sort -1, o, t in ascending order.\nAnswer: t, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2836935 or -2836936?\nAnswer: -2836936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2521.\nAnswer: 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v**2 - 198 + 512 - 7*v**2 + 2*v**2 + 18*v**2.\nAnswer: 2*v**2 + 314","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2.572477m?\nAnswer: 0.002572477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/2 of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-45)\/(-36) + (-6)\/(-8). Suppose 0 = -b*w + 18. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279462 is divided by 7966.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*r = 228*r + 430 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -167280 divided by -240\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, -4, -1\/170, 1\/19?\nAnswer: -1\/170","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**5\/3 + 2186*k**4\/3 + 172694*k**3\/3 + 3209966*k**2\/3 - 690808*k\/3 - 12874840\/3 = 0 for k.\nAnswer: -1009, -55, -29, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/305584 or -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12325015*c*i**2*o + c*i**2 + 59*c*i*o**2 + c*i*o + c*i - 3695628*i**2*o**4 wrt o.\nAnswer: 118*c*i - 44347536*i**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 9*h - 2. Suppose -5 = 5*l + 25. Give f(l).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - -6920?\nAnswer: 6915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(60\/16))\/2\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 95 - 16)*(3 - 3 - 2*x).\nAnswer: -124*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 6\/99821?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 1.2. Let y = f - 10. Let k = y - -4. Which is the closest to -1\/2? (a) k (b) 1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*n**2 + 5255*n + 1750.\nAnswer: 5*(n + 350)*(3*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 11:50 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*a + 414*a - 96570 = -143*a - 120*a for a.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2079 and -25.\nAnswer: 5.1975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h - 68. Give y(30).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1152\/(-64)*((-2)\/3 + 1). Let y(o) = 21*o**2 + 6*o - 3. Let v(w) = -45*w**2 - 13*w + 6. Let l(x) = k*v(x) - 13*y(x). Factor l(u).\nAnswer: -3*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*u = 62*u. Solve -10*n + 7*n - 3 = u for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292101 is divided by 456?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -57910000 to the nearest 1000000.\nAnswer: -58000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**7\/280 - 5*f**4\/24 + 4*f**3\/3 - 1. Let a(m) be the third derivative of s(m). Find the first derivative of a(n) wrt n.\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63170905?\nAnswer: 5, 7, 499, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -7206.\nAnswer: -28824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 + 27*p - 36. Let g be c(12). Suppose 43*x - 38*x - 40 = g. Calculate the remainder when 10 is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 2*j + 3*j + 31, 4*f - 2*j - 34 = 0. Suppose 2*q - v - 6 = q, -5*q - 4*v = f. Solve -u - 17 = q*l - 5*l, 5*u + 2*l = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*z**2 - 39*z**2 + 13*z**2 + z - z.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**3 + 27*o**2 - 82*o + 15. Let a be k(9). Solve 39*i = 35*i - 3*d - 1, 0 = 4*i + 2*d + a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 135739059?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -15*t**3 - 4*t**2 - 1. Let f(h) = -31*h**3 - 9*h**2 - 2. Let l(x) = -4*f(x) + 9*z(x). Differentiate l(d) wrt d.\nAnswer: -33*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(112) - (sqrt(112) + -1)) + sqrt(112))**2.\nAnswer: 32*sqrt(7) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -31. Is u a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2290924297?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2892 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1 (b) 935 (c) -1\/6\nAnswer: c","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 {t: 1, b: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -532821 divided by -1831.\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*z + 5*z - 2*w, -w = 4*z - 12. Let l be 4\/2 - (z - 0). Let y = 35\/323 + 3\/323. Is l smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**7\/420 - s**6\/180 + s**5\/60 + s**4\/24 - 2*s**3\/3 + 3*s**2. Let k(h) be the first derivative of x(h). Determine k(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-10)*22\/((-6688)\/(-80))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010120846 rounded to five decimal places?\nAnswer: -0.01012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes after 12:36 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02 - -0.09. Let a = 0.12 - j. Let t = a + 0.2. Round t to 2 decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -8.6. Let x = b - 0.4. Let f = -0.2 + -0.1. What is the third biggest value in x, -0.5, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -56*a. Let l(p) be the first derivative of p**3 - 58. What is l(g(y))?\nAnswer: 9408*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 - -67.94. Let o = -8.06 - z. Suppose -10*m = -6*m - 4. Which is the closest to -0.2? (a) 3 (b) m (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-11)\/((-990)\/(-20))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8829203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - 1 - (0\/3)\/(-5). Let v = 83 - 2. Suppose 0 = 4*t - 4*w + 9*w - v, -q*w + 84 = 4*t. Calculate the greatest common divisor of t and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -579, 1157 in decreasing order.\nAnswer: 1157, -2, -4, -579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92178 = -5*u - 5*c + 18623, -5*u - c - 73543 = 0. Let j = u + 264665\/18. Let h = 198741\/14 + -14202. Find the common denominator of j and h.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4302 - 21512\/5. What is the nearest to -3 in q, 2\/5, -3\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + -1 - (-7 - 12) - (2 - -4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - -10. Let j = h + -5. Let m = -7 + j. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3274411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 46.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 12*u - 24. Let 259 - 116 - 4*c**2 - 111 + c**u - 2*c**2 = 0. What is c?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81 + 5*n + 145 - 268*n**2 - 6*n + 139*n**2 wrt n.\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -61 - -126. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-1 + -2 - -8) + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 23*u - 18*u + 116968, 3*r = u + 87726. Let j = r - -34058. What is j rounded to the nearest one thousand?\nAnswer: 63000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 186*o - 189. Let t be s(1). Which is the biggest value? (a) t (b) 0.8 (c) 779\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5424047, 10848094, 16272141, 21696188, 27120235, 32544282?\n\"Answer: 5424047*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 (base 14) in base 16?\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1545043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-105)\/2*(-18)\/5.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 3*s - 5*t = 1, 0 = 2*t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6379967269?\nAnswer: 13, 19, 367, 70381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*m + 6. Let i(u) = -3 - 1 - m*u**2 + 4. Let l(a) = -3*a. Calculate l(i(h)).\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**3 - 2*x**2 - 105*x - 103. Calculate the remainder when 42 - (-2 - (-15)\/3) is divided by f(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(7\/4)\/((h\/(h*h**(-3\/14)))\/h)*(h\/(h\/(h\/(h\/h**(-6))*h)))**(7\/12) assuming h is positive.\nAnswer: h**(-8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*u**3 - 19*u**3 + 37*u**3.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49*q**3 + 13*q**3 + 92*q**3)*(5*q - 3*q - q)*(-5*q + q + 2*q - 2*q + 3 - 3 - q - q + q + (-q + 3*q - q)*(3 - 3 + 2)).\nAnswer: -462*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 24570?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 14516, -0.3 in increasing order.\nAnswer: -16, -0.3, 14516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 223 in 3\/17, -70, -1\/4?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 + 36. Which is the closest to -1? (a) -1 (b) j (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6108?\nAnswer: 2, 3, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 28 + -11 - 26.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**2 + 107*v + 173. What is n(-34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/4)\/(20\/(320\/4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**6\/120 + y**4\/12 + 2*y**3\/3 - 40*y**2. Let u(j) = j**3 - 1. Calculate 4*u(r) + z(r).\nAnswer: 5*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*x**2 - 95130 + 95130.\nAnswer: -81*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 312005 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -204 and 0.13?\nAnswer: 204.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272*f**2 - 264*f**2 - 250*f**2 + 749*f**2.\nAnswer: -37*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i - 13. Let d be h(-9). Let b(y) = -5*y + 0*y**3 + 5*y**2 - 5*y**3 + y**3. Let l(o) = 2*o**3 - 2*o**2 + 2*o. Give d*l(f) + 2*b(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 537161 divided by -9\nAnswer: -537161\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-7 - -25) + -13 + (-7 - -1)) - 39?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.015 * 8460804\nAnswer: 126912.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -10. Let t be (-2)\/o*-4 + 0. Is (6\/(-9))\/(t\/21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106.71978 rounded to 1 decimal place?\nAnswer: -106.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) -0.5 (c) 109\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*y + 3*y. Suppose -4*j - j = 4*b + 2, y = -2*j - 5*b. Suppose -3*r + 14 = -2*u, -r = j*r - 3*u - 18. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -5159.\nAnswer: 3\/5159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -0.94. Let k = -28.94 + b. Let m = 29.0021 + k. Round m to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3673 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 76\/16 + (-2)\/(-8). Sort -1, -2, h in descending order.\nAnswer: h, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 76.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (231*y + 233*y + 337*y)*(-13 - 11 + 1) in the form z + r*y and give r.\nAnswer: -18423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (15 - (15 + -7)) + -7.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3388.3054 + 3388. What is t rounded to two decimal places?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130080461 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + (1472\/112 + -14)\/((-4)\/14).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 137 + -129. Suppose -5*v + 12 = -r*v. Let j = 0.8 + 0.2. What is the nearest to j in v, 2\/5, 0?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 664 and 18094.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110000000 - -10?\nAnswer: 11110000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -0.3. Which is the nearest to 1? (a) 4 (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 126364 - -2?\nAnswer: 126366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9, 0.09, 5, -95 in descending order.\nAnswer: 5, 0.09, -4, -9, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 751 a factor of 8324835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 18 = -2*m, 17*m + 153 = 250*s - 255*s for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4384 and -4.\nAnswer: -4.4384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 6*g - 1 + 2 + 5 - 3*g - 28. Calculate l(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*j + 3, 3*j + 0*w = 2*w + 22. Let g(r) = -j*r - 3 - 2*r - 2 + 7*r. Let p be 30\/9*6\/4. Calculate g(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qj when two letters picked without replacement from jjllqlsljq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5.3, 4, 2676, -0.3, 0.02?\nAnswer: 2676","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/3)\/(a\/a**(2\/13)))**(-46)\/((a**(1\/5)*a)\/(a*a**5*a))**(-27) assuming a is positive.\nAnswer: a**(-19957\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 10*g**3 - 36*g**2 - 16*g. Let z(a) = -113*a**2 - 127*a**2 - 117*a**2 - 2*a**3 + 3*a + 364*a**2. What is 3*v(f) + 16*z(f)?\nAnswer: -2*f**3 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149 + 71 + 13*p**3 + 48*p**3 + 78.\nAnswer: 61*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-6 - (-25 - (21 - 29)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 776861 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 388 and 400513.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 4:15 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-4 - -4))\/((-3008)\/114304).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4413618 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 57.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 8*h**2 + 8*h + 10. Let m be u(-7). Suppose z - 12 = -m*z. Suppose z + b**2 - 12*b - 21 - 3*b**2 = 0. What is b?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14276055*n**2 + 18083789*n wrt n?\nAnswer: -28552110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.7 - 8.2. Let z = r + 3. Let h = z + 3.50000034. Round h to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -318 = 93*b - 1899. Solve b = 12*q + 29 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 32 = -4*l. Let w(m) = -2*m - 14. Let r be w(l). Let v(a) = 12*a - 11*a - 2*a**2 + 3*a**r. Let o(b) = -3*b**2 - 8*b. Determine o(f) + 6*v(f).\nAnswer: 3*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.037 - 0.03699941. Round d to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/(2\/(-18)) + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28294?\nAnswer: 2, 7, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7))**(-9\/8)\/(((a\/(a\/a**15))\/a)\/((a*(a\/a**(-26\/3))\/a)\/a)) assuming a is positive.\nAnswer: a**(61\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 z when three letters picked without replacement from zuuzuuuzuuzuuuuuzuu.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 10085 - 10085 + 2053*s + 31639*s in the form c + b*s and give b.\nAnswer: 33692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = -2*s - 5*z - 173, -4*s = 3*z + 576. Does -149 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -192 - -198. Suppose 28*b = -d*b + 4*b. Solve 3*k - 32 + 23 = b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-45)*535\/1498?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -1 (c) 3 (d) 0.002048 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**4\/6 - 8*h**3\/11 - 4*h**2\/11 - 6*h. Find z, given that j(z) = 0.\nAnswer: -2, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.58427 times -27.5?\nAnswer: -16.067425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 788.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 70*i**2. Suppose 0 = 3*k - 2*k - 13. Suppose k*w - 16*w + 135 = 0. Let v(l) = -w*l + 99*l - 53*l. Calculate v(m(j)).\nAnswer: 70*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -179\/150 and 48\/25.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > 414713?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 - -84. What is the remainder when n is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 2 - (-104 + 117) - -13.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0543 or -15788.1?\nAnswer: 0.0543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-2) - 4*(-1)\/14. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (334 - 2) + (-16)\/4*1 is divided by 144.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1279577\/22328211 - -2\/19133. What is the common denominator of -79\/18 and d?\nAnswer: 7002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 135553 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6423?\nAnswer: 3, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14665.565 - 85.\nAnswer: -14750.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1178450 and 700?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 q when two letters picked without replacement from qcscscqssqqq.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*-0.201.\nAnswer: 0.01005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.82656 kilometers in centimeters?\nAnswer: 182656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2051 or -1408?\nAnswer: 2051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-105*w**2 - 6 - 142*w + 25*w**2 + 143*w)*(3*w - 202 + 202) + (-w + 4*w - 4*w)*(3*w**2 - 3*w**2 + 4*w**2).\nAnswer: -244*w**3 + 3*w**2 - 18*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 20 = 2*i, -3*i + w + 25 = -2*i. Let c be 8*(-12)\/i - -5. What is the fourth biggest value in 0.4, -3\/2, c, -1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -865*o - 40*o**3 + 5 - 2*o**2 - 862*o + 1726*o + o**2 - 2 as b*o**2 + c + w*o**3 + t*o and give w.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1794529 and 115.\nAnswer: 8972645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -3*i**2\/2 + i - 1. Let s be v(2). Let y = -2 - s. Solve y = -3*j - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ck when two letters picked without replacement from ckccccocccc?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.24 and -536.014.\nAnswer: -535.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 31.1 and 0.8.\nAnswer: 31.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by (3 - 45\/12)\/(35\/(-3640)).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 = z - h - 134, -h = -5*z - 30 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 211804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 7*z - 1. Let r be o(1). Suppose 7*i - 9*i = r. Let q(d) = -6*d + 1 + 4*d + 3. Determine q(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*m = -21*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 168469057 to the power of 1\/3, to the nearest integer?\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2181692 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*q - 79 + 16 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**7\/42 - t**6\/6 + 7*t**5\/4 + 387*t**2. Suppose m(j) = 0. Calculate j.\nAnswer: -7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50.89 * -0.3\nAnswer: 15.267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 379*b**3*g - 2270537*b**3 - 15*b*g**2 + 93*g**2 wrt g?\nAnswer: 379*b**3 - 30*b*g + 186*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 7*f - 33. Let g be n(5). Suppose 18 = 2*j - g. Let b(p) = p**3 - p**2 + 2*p - 4. Let h be b(3). What is the greatest common factor of h and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 - 2)*(2*z + 2 - 2) + (-z + 7 - 7)*(6 - 1 - 4 + (0 + 0 - 1)*(-1 + 2 - 2)).\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7078485*w + 35601263 wrt w.\nAnswer: -7078485","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2064 + -1875. What is the greatest common factor of 135 and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a microgram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(26) + sqrt(104)\/sqrt(4))*1)\/(-6*sqrt(8)\/sqrt(4)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -4*-6*(-1*(sqrt(363) + -2 - sqrt(363)) - sqrt(363)).\nAnswer: -264*sqrt(3) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000017983173 to seven dps.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 5 - 2*g**4 + (0*g**3 + g**3 + g**3)*(-2*g + g + 0*g) - 5*g**4 + 2 - 2 in the form t + c*g**2 + b*g + r*g**3 + m*g**4 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76 by 6.\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25678661 - 25678661 + 1645*l + (-4 + 4 + 2*l)*(-4 + 4 + 2).\nAnswer: 1649*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*s = 18, -2*s - 96 = -5*c + 2*s. Solve c*j - 21*j - 1 = 2*i, -4*i + 18 = -2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 7*g**2 - 6*g + 2. Let p be q(5). Suppose 17*m = p*m - 50. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -975*j**2. Let s(f) = -3466*f. What is s(x(m))?\nAnswer: 3379350*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1345 by -706.\nAnswer: -1345\/706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**3 + 5*p**2 - 4*p**2 - 13*p - 7*p**2 + 18*p to t*p**2 + l + m*p**3 + j*p and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10120201120210 (base 3) to base 15\nAnswer: 279180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 8:50 AM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**5\/30 + i**2. Let k(l) = 14*l - 6*l**2 + 7*l - 26*l - 2*l**2 + 14*l - 11*l. What is f(k(n))?\nAnswer: 128*n**4 + 64*n**3 + 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-33)\/363*11\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13602441*r + r**2 + r**2 + 13602441*r + 3*r**2.\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -757 - -762. Solve 5*x + 30 = -5*a, 2*a = 9*x - g*x for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (5119 - -3) + (87 - 82)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -636548\nAnswer: -636547.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2658 - 2664. Let w(l) = 8*l + 1. Determine w(z).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/7*1331 + 6\/(-42). Let l = n - 8. Suppose l = 11*m - 192. What is the lowest common multiple of 11 and m?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 > 145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2433 and 93?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(560\/5))\/(-1). What is the closest to 0.1 in -2\/7, 0.2, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -162*k**3 - 3*k**2 - 3*k - 114. Let x(f) = -325*f**3 - 7*f**2 - 7*f - 228. Let v(j) = -7*a(j) + 3*x(j). Find the first derivative of v(l) wrt l.\nAnswer: 477*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*o - 30*o = -h + 1, 2*h = -3*o - 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -33857, -3, 3 in descending order.\nAnswer: 3, -1, -2, -3, -33857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3119348853.\nAnswer: 3, 17, 6795967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4627 - -1?\nAnswer: 4628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 57*k**3*y - 55*k*y**2 + 11281*y**2 wrt k?\nAnswer: 171*k**2*y - 55*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 plus -688405358?\nAnswer: -688405358.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3151978 a multiple of 1089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1136778078*h**2 - 21368113*h - 5.\nAnswer: -2273556156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -5*b**3 + 60*b**2 - 12*b + 20. Determine m(11).\nAnswer: 493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 4:41 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-16) - (5093\/(-132) + -3))*(-60)\/360.\nAnswer: -62\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -52, -9, -17, 4, 1 in descending order.\nAnswer: 4, 1, 0, -9, -17, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 168\/5 > 33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i - 5. Let p = 14 - 9. Let q be h(p). What is the tens digit of (q\/7)\/((-6)\/(-21))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 1)\/(2\/10). Suppose -4*u - 5*h = -15 + 5, -4*u = -h + 2. Suppose -3*p + y = 4*b, 0 = -b - p - u*p + 5. Solve 3*m - 2*a + 0*a = b, -a = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 989454923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 0*h**3 - 87*h + 1\/75*h**6 + 0 + 0*h**2 - 1\/30*h**4 + 0*h**5. Solve z(s) = 0 for s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-5) + 424\/(-40). Let s be 15\/(-225) + (-4)\/g. Suppose 25*j = -3*n + 22*j - 21, 8 = -4*j. Sort n, -14, s in decreasing order.\nAnswer: s, n, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y - 181*y**2 - 123*y**2 - 2*y - 294*y**2.\nAnswer: -598*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 444913 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 377 divided by 9?\nAnswer: 377\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9, q: 7, y: 2}. What is prob of picking 2 y and 1 q?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**3 - 2*u**2 + 2*u - 1. Let v be c(1). Suppose 0 = -v*z + 4*o - 5 + 1, -3*o = 2*z + 18. Is z\/(-33) - 559\/(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -595, -602, -609, -616, -623?\n\"Answer: -7*j - 588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**3\/5 - 16*c**2 - 148*c\/5 - 72\/5 = 0. What is c?\nAnswer: -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -171 - -196. Suppose 4*n + 4*t - 36 = 56, n - d = -3*t. What is the remainder when 167 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 d when three letters picked without replacement from ldwwlhdldwlwtlhwwl.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 - -40. What is the nearest to r in -5, 2\/25, -4?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6151873 and 819.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 100222110 (base 3) to base 14\nAnswer: 2919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 268*b + 169*b - 320*b + 3 to p*b + f and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -8\/244827?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3917*c = 11437*c + 27667 + 402245 for c.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 23 = p, -2 = f + 3*p - 23. Suppose -2*d = -4 - 2. Suppose 0 = -d*u - 3 + f. Solve u = -4*z + 9 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -986, -985, -984, -983?\nAnswer: -982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4860434?\nAnswer: 2, 2430217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -132 - -127. Calculate the remainder when 95 is divided by 33\/(6 + (b - 0)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: (3*8\/(-168))\/(-14*333\/441)\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4 = -0*t. Suppose 0 = -t*b + 4*b - 14. Let j = b - -1. What is the remainder when 23 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3844375 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/25 (b) -1\/5 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 9*r**5 - 62*r**3\/3 - 82. Find the third derivative of o(m) wrt m.\nAnswer: 1080*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12143, -12101, -12035, -11951, -11855, -11753, -11651, -11555?\nAnswer: -11471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 32*a**2 - 64*a + 117. What is j(30)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6.52 and -0.5467.\nAnswer: -7.0667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7052 or -7055?\nAnswer: -7055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.2444*3.9952\nAnswer: 0.97642688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55*u**3*x**3 + u**3 - u**2*x - 53*u*x wrt x?\nAnswer: 330*u**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.3 - -2.3. Which is the closest to -1? (a) -0.4 (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*x + 27*x + 89838. Let k = x + -57812\/9. Calculate the common denominator of k and 21\/85.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/274 and 19\/2.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -31?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10059 + 30935. Suppose o = 13*n + 4860. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxvbxvhxiwhxxvhx. Give prob of sequence bxbi.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48706 = 817*k + 42055 + 25253 for k.\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1708 and 157206272?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 11:46 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -112 bigger than -1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49860 divided by -3.\nAnswer: 16620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**3\/3 - m**2 + 2*m. Suppose 0 = c - 0*c - 4. List the prime factors of j(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by -12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 10:31 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x. Let f(y) = -112003258*y**2. Determine f(d(z)).\nAnswer: -112003258*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/4)\/(18\/216). What is the units digit of (p\/12)\/(2\/(-180))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 12:32 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2844, -22672, -76496, -181314, -354124, -611924, -971712, -1450486?\nAnswer: -2065244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -2120?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9030 = -66*v + 498*v - 2*v for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 - -47. Suppose -4*p + 3 = -r. Suppose p*w - 221 = -1. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -5*y + 27 + 25, -2*t - 14 = -y. Let f be ((-1)\/2)\/((-1)\/y). Suppose -18 = -13*p + 47. Solve f*c - 21 = -p*z, -3*z - 6*c + 23 = -c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3498 = -z + 18*k + 10600, -2*z - k + 28381 = 0. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*c**2*n**2 - 83320*c**2 - 35*c*n**2 - 2*c*n - 14*n wrt n?\nAnswer: -10*c**2*n - 70*c*n - 2*c - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 - -72. Let t = 41 - x. Let o be (-15)\/4 + (-2)\/8. Which is the third smallest value? (a) o (b) 5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 120*w**2 - 3163*w + 90. Determine u(39).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3)\/(h**5\/h*h))\/((((h*h\/(h*h*h**(-2\/13)))\/h)\/h)\/(h\/(h**(-3\/2)*h)))*h**(-8)*h**7\/h*(h*h**(-1)*h)**25 assuming h is positive.\nAnswer: h**(477\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (154\/33)\/((-4)\/(-45)*(-21)\/182*13).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 + -9)*(-4)\/6. Suppose 7 = -x*k - g, k + 0 - 4 = g. Let h(z) be the second derivative of -z**4\/3 + z**3\/6 + z**2\/2 - 8*z. What is h(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2170.57 from -12724.\nAnswer: -10553.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/14*(-14)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157 + -160 - (1 + 18 - (-6)\/2).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17976\/672 - 2\/(-8))*(-1 + (-8 - -10)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 805*r - 805*r + 4*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -5\/2 (b) 1\/11 (c) 0.2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 - 36. Let y = -9 + x. Which is the nearest to -2\/3? (a) 1\/4 (b) -0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68885 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 5*w**2 + w + 2. Let x = 18962 - 18952. Calculate the lowest common multiple of q(4) and x.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 404434, 808575, 1212716, 1616857, 2020998?\nAnswer: 2425139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 115 = -2*x. Suppose 5*o = -3*c + 8, 31*o - 26*o - 14 = -4*c. Calculate the remainder when x is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -537\/2 + 267. Let p = 1 - -2. Which is the biggest value? (a) -5 (b) p (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 30, 31, 68, 153, 298, 515?\n\"Answer: 2*v**3 + 6*v**2 - 31*v + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 + -36. Put -4, 0, 5, o in ascending order.\nAnswer: -4, 0, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.01 (b) 2 (c) -886\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1638)\/(-1404)*9\/(-14)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 394, 436, 480, 526, 574, 624, 676?\n\"Answer: z**2 + 39*z + 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -415, 1, -2\/3 in increasing order.\nAnswer: -415, -2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -1. Suppose 2 - 6 = 2*x - u*r, -2*r + 12 = 2*x. Solve v = -x*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 215 - -212. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -105, -228, -357, -492, -633, -780?\n\"Answer: -3*n**2 - 114*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = y - 3*m, m - 2 = -y - 1. Suppose y*r - 171 = 149. Suppose 0 = -5*z - 24 + r. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1019 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + 0*n**2 - n**3)*(2 - 20 + 3) - 6*n**3 - 22*n**3 + 9*n**3.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4137 and 567.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14013?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiixiiiiiiiiiiii. What is prob of picking 3 i and 1 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 11*s**2 + s + 14. Let b be r(-11). Suppose b*f + 15 = 4*f. Solve f = -5*h, 0*i - 4*h - 9 = i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 11\/2 (c) -456\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhdhddddhdhhddd. What is prob of picking 2 d?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -897850000 to the nearest one million.\nAnswer: -898000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 - 3*l + 2. Let p be m(3). Suppose r = 2*s + p, -4*s + 0*s - 20 = 0. Let g = 5 - 3. Solve -g*f - r = -5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12\/25 + 2\/25. Let p = -40 - -38. Let z be p\/7 - (-1 - (-145)\/105). Which is the second biggest value? (a) i (b) z (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 1\/67, 0, 2, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6 = -2*d + q, -5*d = -3*q + 26. Let k(n) = 4*n**2 - 4*n - 1. Is k(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54 + 55.04. Let j = r - -0.26. Let f = j + -0.3. What is the closest to -2 in -2\/9, f, 2\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 58*g**2 - 462*g - 12. Let a be y(8). Let d(c) be the first derivative of 28*c**2 - 27*c - 1. Does 11 divide d(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/2 + (-364)\/(-30)*31425\/4190\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 892.1459 meters to kilometers.\nAnswer: 0.8921459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 770 is divided by 751?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 40 = -3*b. Let y = b + -6. Suppose -2*u = -3*j - 6*u + 49, y*u - 11 = -j. What is the remainder when j is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 6740715.\nAnswer: 13481430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/(-81))\/(2\/18). What is the remainder when 101 is divided by ((-7)\/(21\/90))\/((-4)\/g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 10 = -3*r - 3*n, -r = 4*n - 5. Suppose -3*t - r*d + 2461 = -3*d, -2*d + 819 = t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6356 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -2. Let i(s) = -17*s + 14. Let j be i(-10). Suppose w = -4*a - 0*a + j. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12043 is divided by 447?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**2 - 3*c - 5. Let p be ((-2)\/5)\/(2\/70). Let r = p + 18. What is the tens digit of v(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (1 + -2) - 9\/9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.6844761 - 2318.\nAnswer: -2297.3155239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30 - 8 - -2) + -3 + (14 - 2).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - -48 - 28) + 52 + -79\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3297.6 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 140411200?\nAnswer: 140411155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -461 - -675. Suppose 3*u = 308 + a. Suppose 2*l = -4*p + u, 5*l - 304 = l + 3*p. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 481, 2067, 4727, 8473, 13317, 19271, 26347?\nAnswer: 34557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8190 and 4662.\nAnswer: 303030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 14bb2?\nAnswer: -14bae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 + -137. Let m = 383 + i. What is the remainder when m is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 142395876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7\/2567 (b) -4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z + 83. Let t be c(-12). Let s(d) = d**2. Let h(a) = -a**2 + 2*a + 2. Determine t*h(o) - 2*s(o).\nAnswer: -o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29331921869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y - 3. Let q(t) = -2*t + 3. Give 7*i(z) + 6*q(z).\nAnswer: 9*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 1 + 7. Suppose -2*r + 6*r + 4 = 3*n, -4*n = -16. Suppose -5*t - i*w - 6 = 0, 5*w = 3*t + r*t - 30. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + c**2 + c + 1. Let z(d) = -13*d**3 + 2*d**2 + 2*d + 2. Calculate 2*q(i) - z(i).\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 107713 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 prob of picking 3 v when three letters picked without replacement from vvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b + 52 = -27*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -211*l**2*m - l**2 - 2*l*m + 35*m + 77447374 wrt m.\nAnswer: -211*l**2 - 2*l + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -8253*g + 16445. Give r(2).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -5*i - z, 4*i - 35 = -7*z + 4*z. Let n be (2 + -7)*(i - 10). Calculate the highest common factor of 270 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**5\/5 + 246*b**4\/5 - 758*b**3\/5 - 246*b**2\/5 + 756*b\/5 = 0. Calculate b.\nAnswer: -126, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**7\/420 + 241*u**6\/720 - 9*u**5\/20 + 190*u**2 - 1. Factor i(q).\nAnswer: q**2*(q + 81)*(3*q - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 172 - 177 - (-30 + -1) - 8?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 12:18 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**4\/4 - 19*q**3\/2 - 55*q**2 + 726*q = 0.\nAnswer: -22, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -613 + -3?\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81 + -73. Let o be (63*(-7)\/(-84))\/(1\/k). Is 47 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 680297440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*r, 5*r - 6 - 9 = -o. Let d be (-176)\/o - 4\/(-10). Which is greater: 2 or d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2572, -1 in descending order.\nAnswer: 2572, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 12:24 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, c: 3, y: 1}. Give prob of picking 1 y and 1 c.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 0*x**5 - 5*x + 0 + 0*x**4 - 11\/42*x**7 + 0*x**2 + 0*x**6 - 7\/3*x**3. Find the second derivative of b(w) wrt w.\nAnswer: -220*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17516 - -24400. What is the thousands digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3092 (base 14) to base 11.\nAnswer: 6310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 8*l**2 - l. Give z(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 0.5 (c) 0.179 (d) 2.5 (e) 0 (f) 32 (g) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5053?\nAnswer: 31, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2814)\/(-804)*(6\/14)\/3\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 11:29 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 49110 + -6?\nAnswer: 49108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81 - -83. Let n be (3 - i) + 7 + -5. Calculate the remainder when n - (-1 + 3) - (-606)\/3 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 147, 312, 477, 642, 807, 972?\n\"Answer: 165*t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -1\/478 (c) 0 (d) 4 (e) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 347 - 254. Calculate the highest common factor of 1457 and i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vqn when three letters picked without replacement from ntbcqccqqtvqtvq.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -19*d - 17*d + 35*d. Let h(i) = 2265*i**2. Calculate n(h(m)).\nAnswer: -2265*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*j = -44*j - 7*j + 251206. What is the highest common factor of j and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 20 = -3*x, -2*x + 4*p - 12 = -3*x. Let l be ((-2)\/(-4))\/((-30)\/x). Suppose -5*f = -54 + 39. Sort 0.1, f, l.\nAnswer: l, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -2\/23*s**2 + 12\/23 + 2\/23*s = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-32)*(-9 - ((14 - 6) + -5)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.95 - 1.35. Which is the closest to 2? (a) 1 (b) -5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3230010 (base 4) to base 5.\nAnswer: 440413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -56509 and -56527 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 9184?\nAnswer: 9184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 397121239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 4*i**2 + 6*i - 9. Calculate q(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -689.24678.\nAnswer: 344.62339","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 divided by 115551?\nAnswer: -65\/115551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -3. Suppose 0 = 2*j - 4*j - w*p + 99392, -4*j = 2*p - 198790. Let g be 4\/(-14) - j\/7. What is g rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/73 smaller than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 - -49. Let s be 69\/21 - (1 - 5\/7). Solve -s*n + 3 = -2*m, -5*n + m = -5 - f for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-21)*q)**(1\/5)\/((((q*q**27)\/q)\/q)\/q**(-36)))**(-28) assuming q is positive.\nAnswer: q**1848","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hzkhwlzrhzrhh. Give prob of sequence wrzh.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*b - 325 = -1120 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 674.1014 + -674. Let n = -610.1014 + r. Let d = n - -609.639. Round d to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v**2 - v + 6. Give i(3).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/(d**(-3)*d)*d))\/d)\/(d**(-7)*d)*((d*d*d*d**(-1\/4)*d*d)\/d*d)\/d**(-3\/5))**(-4\/3) assuming d is positive.\nAnswer: d**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2 + sqrt(19))*-2.\nAnswer: -4*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2 - f**2 + 3 + f - 4 + 2. Let n(j) = 2*j**2 - 4*j + 4. Let i(z) = -3*h(z) - n(z). Is i(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 5*l = 22, 5*l = -5*y + 4*l + 13. Suppose -288 = y*z - 9*z. Let v = 67 - z. What is the remainder when 35 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-6)*h*h**(3\/7))**31 assuming h is positive.\nAnswer: h**(1829\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35530 is divided by 141.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 k when three letters picked without replacement from {t: 1, i: 4, k: 4, b: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 59, 153, 249, 347, 447?\n\"Answer: y**2 + 91*y - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -322, 8734, -1, -4, 5 in decreasing order.\nAnswer: 8734, 5, -1, -4, -322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 3*p - 40. Let z be i(-9). Let n = 96 - z. Let g = -25 + n. Solve -g*a - 1 - 6 = -q, 3*q + 4*a = -31 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 128\/(-7) - (-6)\/21. What is the units digit of r\/(-24) - (-41)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * 0.083\nAnswer: -0.00415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 4 = -o, -65*o + 4*w = -60*o - 164. What is the lowest common multiple of 20 and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/6 - (-665)\/12. Let o = u + -56. Suppose 11 = -21*y - 10. Which is smaller: y or o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (148 - -5) + 6\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-4)*(2 - -3). Let t = 14 - n. Suppose 0 = 2*m - u - 1 - t, -2*m - 3*u = -30. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**2 - 3. Let s be p(3). Let x = 0 + 3. Suppose 3*t = -l + 14, 4*t + l - s = -x*l. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 - 65864*i.\nAnswer: -4*i*(i + 16466)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -982\/165?\nAnswer: -982\/165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 - -0.799956. What is k rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from ddgr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -110*l - 3399. Let p be t(-31). What is the highest common divisor of 1727 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(19 + 6*g - 19) + 0*g + g - 3*g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-7)\/p*p*p**(1\/20)*p)\/(p\/(p*p\/(p**(-5)*p)))**31 assuming p is positive.\nAnswer: p**(3001\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8876327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = j, 1 = -3*j + 4*j + 3*q. Does 56 divide (22 + -24)*(2430\/j)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = s + 3*z + 15, -5*z = -3*s + 25. Do 1\/10 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-6)\/(-3)) + 9 + 3 + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23235 + -23234.65. Which is the nearest to -4\/7? (a) -0.3 (b) -4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1582393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 5*z - 0 + 8, 4*z - 8 = 4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -38404, -76808, -115212?\n\"Answer: -38404*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*f**2 + 2 - 47*f**2 + 99*f**2 + 1 in the form i*f + g + m*f**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 10 (c) 12 (d) 2\/3 (e) -1\/7 (f) 1423\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 80*q - 588. Calculate the remainder when f(9) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 + 6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*q - 2 = -4, 0 = -5*a - 5*q + 10. What is the third derivative of -16*d**4 - 2 + 2 + 706*d**a - 720*d**2 wrt d?\nAnswer: -384*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -24 (b) 17 (c) -5\/3 (d) -1\/17 (e) 2 (f) 14 (g) -2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/140695 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5851 and 473931.\nAnswer: 473931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 115*o**3 - 41?\nAnswer: 345*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y + 3*y**3 + 127*y**2 - 125*y**2 + 3 - y**3 to g + c*y**2 + r*y**3 + v*y and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000033185 to seven dps.\nAnswer: -0.0000332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -35242150 (base 6) in base 12?\nAnswer: -449356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34695*g - 34761*g = -6930 for g.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22936 + 22935.9972127. What is o rounded to five dps?\nAnswer: -0.00279","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -2.496?\nAnswer: -2.296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 12 + 10 - (-4 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/12? (a) 18 (b) 5 (c) 0.1 (d) -4\/209\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3674*x**2 + 17*x + 3674*x**2 + 3 - x**3 to w + y*x**2 + z*x + v*x**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 4, -3, -0.55?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 - 49. Let n be -3*4\/x*3. Solve 0 = -5*y + v - 12, 0*y = -2*y - n*v + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 + 47 = 4*h. Solve 0 = -j - 2, -5*j = -5*o + h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37.1 - -37.1326. Let w = 7.9626 - p. Let a = w - 8. Which is greater: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000292581 to 6 dps.\nAnswer: -0.000293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*h, m + 5*h - 5 = -4*m. Solve -26 = -4*c - m*s, c + 4 = 2*s + 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-9)\/(i*i**(-2))*i**(-1\/7)*i\/(i**(-10)\/i) assuming i is positive.\nAnswer: i**(27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 18 (b) -163 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 168309452 to the nearest integer?\nAnswer: 12973","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -3 + 0 + -1 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4487800?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*x - 29. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(24\/32 + (-1)\/(-4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 11*q - 85. Let w be g(16). Suppose 55 = -2*x + w. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3738 - -4476. What is the greatest common factor of 207 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/63 - (-4126)\/(-18). Which is smaller: -230 or o?\nAnswer: -230","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 - -a7?\nAnswer: b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3304773 to the nearest integer?\nAnswer: 1818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.12? (a) -131 (b) -144 (c) 5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34319906407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 319 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/17 - 14\/51. Let w = 12 - 7. What is the third biggest value in -1, w, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*14982\nAnswer: 74910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2 + 2*h + 6 + 2 - h**3 - 3*h. Calculate the smallest common multiple of i(0) and (1\/(6\/136))\/((-6)\/(-9)).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmssmmsmssmmm. What is prob of sequence msmm?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -7*y - 81. Let t(a) = 5*a**2 - 16*a - a**2 + 100 - 3*a**2 + 50*a. Let r be t(-30). Does 7 divide x(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, c: 1, p: 4, l: 1, n: 2}. Give prob of sequence hlcp.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-3\/13))**(-17\/3) assuming s is positive.\nAnswer: s**(-170\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jk when two letters picked without replacement from {k: 2, y: 1, p: 1, j: 5}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4854 - 3458. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -8 + 4 + 155*u**3 - 6*u + 9 + 3*u**2. Let x be j(2). Let i be ((-3)\/x*2)\/((-2)\/10). Is 0 at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1.76, -567, -2\/15 in ascending order.\nAnswer: -567, -0.4, -2\/15, 1.76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -186 - 52. Let g = f - -384. What are the prime factors of g?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -275460512 - 4?\nAnswer: -275460516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 270 and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(22) - sqrt(22)*2) + sqrt(22)))\/(sqrt(11) - sqrt(77)\/(sqrt(14)\/sqrt(2) - sqrt(7) - sqrt(7)) - sqrt(11)) + (-4*sqrt(392)*-1)**2.\nAnswer: 6272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hht when three letters picked without replacement from {q: 6, u: 3, j: 1, h: 2, t: 1}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 22 = -4*h - 2888, -4*h = 3*b - 1758. List the prime factors of b.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471439143?\nAnswer: 3, 7, 43, 8287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 683 divide 1015621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-6 + (-33)\/21).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 2:02 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2 (b) 4\/7 (c) -3 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3597 - 3595.3871. Round z to two decimal places.\nAnswer: 1.61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f**4 - 215*f**3 + 780*f**2 + 1620*f - 1360 = 0. What is f?\nAnswer: -17, -2, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -d + 2*o, -3*d - 2*o + 23 - 4 = 0. Let f be 1 - ((-4)\/(-2) - 7). Let u be -1*((-15)\/f - -1). Which is the closest to -1? (a) d (b) u (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -16 (b) 0.184 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 73 + 739?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -134611701*w. Let g(b) = -2*b**2. Calculate c(g(d)).\nAnswer: 269223402*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -563*b = -3*u - 567*b + 17, -3*u = -4*b - 25 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 299136 and 29520.\nAnswer: 4487040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -635554, -635557, -635560?\n\"Answer: -3*d - 635551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 180204862 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 250, 407, 560?\nAnswer: 709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-5)*2015\/(-806)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.24161 to 3 dps.\nAnswer: 0.242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -117\/2 + 58. What is the nearest to 2 in 5, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 56, 106, 164, 224?\nAnswer: 280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 69207544 and 12257?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 143 = 175. Solve h*w - 12*w + 20 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-3*3357\/746?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*y + 30*y - 36*y.\nAnswer: -33*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**3 - 478*s**2 + 210*s + 50128. Give n(-239).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(76)\/sqrt(4)*3*-2 - (sqrt(228)\/(sqrt(72)\/sqrt(6)) - (1*sqrt(76) - sqrt(76))**2).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/6*100\/1575. What is the second biggest value in b, -2, -1\/3, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/5 of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -360670, -721357, -1082044?\n\"Answer: -360687*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddeddedddddeddededd. What is prob of picking 3 e?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*f**3*v**2 - 297*f**3 + 24*v**2 wrt f.\nAnswer: -6*f**2*v**2 - 891*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/4)\/(69\/(-36) - -2). Solve -n = -f + 2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = 4*i - 6*f + 61, 4*i - 5*f + 11 = 0. Let h(n) = n**3 + 10*n**2 + n - 13. What is the remainder when 116 is divided by h(i)?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t + 25. Let w be q(12). Let n = w - -35. Solve 5*k + n*k - 20 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-140)\/(-28)*(-754)\/1430*11.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 8*g - 3*b = -50191, -4 = -2*b. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/81564 and 69\/392.\nAnswer: 1141896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12671 is divided by 528.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 570 is divided by 182.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-602)\/(-129)*((-3)\/(144\/(-78)) - 2).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 658.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -3*h - 32, 8*h - 11*h + 36*o = -288 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1\/4))**20)**(-8) assuming i is positive.\nAnswer: i**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 590, 27, -2 in increasing order.\nAnswer: -2, 27, 590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 13*f - 18. What is the tens digit of h(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 + -79. Let a be (2\/d)\/((-37)\/148). Determine k, given that 0 + 2\/11*k**2 + a*k - 2\/11*k**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -7*x**3 - 2*x**2 + 14*x + 12. Let g(j) = -26*j**3 - 8*j**2 + 55*j + 48. Let h(k) = -6*g(k) + 22*n(k). Find b such that h(b) = 0.\nAnswer: -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100512421 (base 6) to base 16.\nAnswer: -1a403d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15502*q**6 + 179*q**2 - 4*q?\nAnswer: 1860240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 464.9085 tonnes to grams.\nAnswer: 464908500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 5:34 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2528.36 to the nearest 100.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - 16*a + 1. Let v be z(-16). Let q = 2 + -1. Let w be (q - -1) + v + 0. Solve -5*i + 8*i - w = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 - 35*u - 225. Calculate a(-18).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -1202221021?\nAnswer: -1202221022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-1 - 9)\/((-4)\/4) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -362*f**3 - 1794*f*q + f - 1135910*q wrt f.\nAnswer: -1086*f**2 - 1794*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -9*a**2 + 99*a - 391. Let o be q(4). Let f be 6\/4 - (-1116)\/(-8). Do o and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -59*d**2 + 13*d. Let z = 276 - 273. Let m(r) = 118*r**2 - 27*r. Let q(s) = z*m(s) + 5*a(s). What is the second derivative of q(y) wrt y?\nAnswer: 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 12*x - 8. Let v be b(3). Let w(a) = a**3 - 29*a**2 + 29*a - 20. Let z be w(v). What is the biggest value in -19, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, -1\/5, -0.5 in ascending order.\nAnswer: -6, -0.5, -1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 151259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, d: 1, n: 3, g: 2, c: 4, v: 3}. Give prob of sequence cdc.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 15*d + 303 = 0, 333923*f - 333928*f - 1 = d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -6 - (4 - 4 - 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 3516105\/227 and 15489 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w - 2*w**2 + w - 3*w.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 148? (a) 0.2 (b) 5\/3 (c) -7 (d) -5 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 20313, 20032, 19749, 19464?\n\"Answer: -l**2 - 278*l + 20592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3102173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 42.24 and -4342?\nAnswer: 4384.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11 - -11)*(-1 - 0). Suppose q = -6*y - 3 - 3. Let x be 15\/(-6)*y*(-14)\/7. Which is the second smallest value? (a) -2\/47 (b) x (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2101 is divided by 34?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0586 and -13.5.\nAnswer: 0.7911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -43*a**2 + 5229*a + 12767. Give k(124).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 - 249047.\nAnswer: -249047.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 783403329 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-5)*o*o*o*o*o**(1\/3)*o)\/(o\/((o*o\/(o*(o**(-1)\/o*o)\/o))\/o))**(1\/42))**(10\/3))**(1\/13) assuming o is positive.\nAnswer: o**(25\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 7\/4, 2, 4\/27, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4560170 - -0.048123237\nAnswer: -4560169.951876763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -819 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -6\/5 and -25\/189912.\nAnswer: 949560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542 is divided by 108.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**4 + 2*y**4 - 3*y**4 + (1 + y - 1)*(-y**3 + 3*y**3 + 2*y**3) + 5*y**4 + 0*y**3 + 0*y**3.\nAnswer: 11*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.964 + 6. Let x = 26.036 - j. Let q = x - 26.00021. What is q rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5863*u + 5883*u - 163 = 17 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 1113.08?\nAnswer: 1111.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34\/21 - -601\/462. Find the common denominator of -34\/11 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 186275*h**6 - 35*h**3 + 10446684*h**2 - 2.\nAnswer: 22353000*h**3 - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 305511 - -3?\nAnswer: 305514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8 + (-35)\/4)*(-16 + 0). Suppose -3*f = 3*f - b. What is the smallest common multiple of 9 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -596475, -596465, -596443, -596403, -596339, -596245, -596115, -595943?\nAnswer: -595723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -9*c + 0*c**2 + 0 + 0*c**4 + 1\/3*c**3 - 1\/10*c**5. Find y such that h(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/33 smaller than -2\/207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 116837, 233625, 350365, 467057, 583701, 700297, 816845?\n\"Answer: -24*b**2 + 116860*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 0 + 1 - 11*t + 5.\nAnswer: -11*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -j**4 + 6*j**2 - 146*j - 67631 wrt j?\nAnswer: -4*j**3 + 12*j - 146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -597918 rounded to the nearest ten thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from uuyyuyyy.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451848471.\nAnswer: 3, 7211, 20887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/149, 32, 5, -3, -0.2, 56?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**3)\/(w*(w\/w**(-5))\/w))\/(w**(-1))**(11\/4) assuming w is positive.\nAnswer: w**(-21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**3 + 20*r**2 + 11*r - 17. Let d be v(-6). Let c(o) = 4*o + 48. Let b be c(d). Solve -19 = -5*i + b*u + 17, 0 = 5*i + 2*u - 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5 = 2*u, 24*x = 13*u - 17*u + 92. Let j = -6 - -13. Suppose -j = -5*d + 13, c - 41 = -x*d. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*n - 10 = 0. Is (652\/n)\/((-10)\/25) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 7, -15, 136 in ascending order.\nAnswer: -15, 5, 7, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 13*p**2 - p - 1. Let b be d(-1). Let u = b + -8. Solve -4*x - 2*n = 2*n, 2*x + 3*n = -u for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m**2 - 4*m + 5. Let q(x) = 2*x**2 - 2*x + 2. Let c be ((-18)\/(-8))\/((-3)\/(-8)). Suppose 4*r + 9 = -b, 4*b - 6 = c. Determine r*d(h) + 7*q(h).\nAnswer: -h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 2*c + 10, 2*j + 3*j - 25 = 3*c. Suppose -8 = -2*t + 2*w - 2, -j*t - 4*w = -60. Suppose t = s - 29. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/39? (a) -0.3 (b) 11818 (c) -0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**2 - 1524422*f + 38109300 = 0?\nAnswer: 25, 762186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 8*t - 3. Let b be 33\/(-5) + 10\/(-25). Let f be r(b). Let a(s) = s**2 + 10*s + 5. Let j be a(-8). Is j > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*((sqrt(2448)*2 - sqrt(2448)) + sqrt(2448)) + (-1 + sqrt(2448))*4)*-1 - 4*2*(1 + sqrt(2448) + sqrt(2448) + 3))**2.\nAnswer: 16128*sqrt(17) + 1410832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaggagatataa. What is prob of sequence ttg?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24198387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -q + 63, 5*w - 82 = 9*q - 7*q. Suppose -w*m + 1035 = -11*m. List the prime factors of m.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -2. Let r = 0.07 + -0.17. Let c = -0.4 + r. What is the closest to 0.1 in i, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -10*q**2 - 2*q + 1. Let k be w(1). Let x(r) = r**2 + 12*r + 9. Let y be x(k). Do y and -2 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 14*v**2 + 20*v - 34. Let l be i(-15). Let o be -5 + 6 + 2856\/(-26). Let d = l - o. Which is the second smallest value? (a) d (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -o**8\/43680 - o**7\/8190 - o**6\/4680 - 7*o**4\/12 + 17*o. Let w(z) be the third derivative of p(z). Factor w(a).\nAnswer: -2*a*(a + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24736577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m. Let l be 1\/5 + 176\/20. Suppose -4*q + 9 = -3*d, -2*d - d - l = 5*q. Let x(c) = q*c + 3*c + c. Determine r(x(s)).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5808910*k**4 - 307391*k - 5 wrt k?\nAnswer: -69706920*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -2 - x**2 + 0*x**3 + 0*x**4 + x + 1\/20*x**5. Let f(n) be the first derivative of o(n). Differentiate f(j) wrt j.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19273519*s**2*z**3 - s**2*z**2 - 16136*z**3 + 2*z**2 - 7742 wrt s?\nAnswer: -38547038*s*z**3 - 2*s*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) -4 (c) -535.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -560515, -1121069, -1681683, -2242387, -2803211, -3364185?\nAnswer: -3925339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -80 or 1?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011121222111200 - -1?\nAnswer: 1011121222111201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.25 + 0.09. Let x = -0.04 + a. What is x rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-112))\/((-1)\/4)*(-196)\/(-406)?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((-170)\/(-60) + -5)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 628*q**3 + q**2 + 4*q - 17. Let v(m) = 630*m**3 + m**2 + 5*m - 21. What is -5*j(t) + 4*v(t)?\nAnswer: -620*t**3 - t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (192 - 32*f**4 - 192)*(2 + 1 + 1) - f**4 - 5*f**3 + 5*f**3 + (-3*f**2 - f**2 + 0*f**2)*(-f**2 + 3*f**2 - 3*f**2).\nAnswer: -125*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 774897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -1\/2, 159.24 in descending order.\nAnswer: 159.24, 22, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f + 15 + 4*f**2 + 19 - 32 in the form l*f**2 + k + n*f and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 4*i**2 - 4*i**2. Let y(n) = -n**2 + n. Determine y(f(z)).\nAnswer: -z**4 + z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/15 (b) 0.29 (c) -0.4 (d) -1.4 (e) 2 (f) -0.02 (g) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 360 + -354. What is the highest common divisor of c and 1182?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.006*596\nAnswer: 3.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -226*t + 242*t + 240 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -115?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + v - 168616, 0 = -9*g + 4*v - 248656 + 1766213. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-140))\/(39 - 10980\/300)?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and (-42)\/147*(-13 - 1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 16 = -3*x, -1350*x = -1352*x - 3*k + 9 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 8*i - 4. Let o be b(5). Suppose 2*s - 211 - o = 0. Suppose s - 26 = -4*w. Find the common denominator of w and 73\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2086 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-2) - (-11243 + 7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 74\/322 + 14\/(-1449)*9. Let m be (3 - 26\/8)*-1. What is the nearest to m in 4, -12, 0.5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97323 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 643, 2481, 5515, 9739, 15147?\nAnswer: 21733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -861, -33, -4, -0.1, -0.3 in decreasing order.\nAnswer: -0.1, -0.3, -4, -33, -861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2183*h - 747*h = 787*h + 743*h + 6674 for h.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 - -1 - ((-110944)\/28 - 6). Let d = -3978 + c. Which is bigger: -15 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289 = 5*d - 3*s, -2*d + 58 = -163*s + 181*s for d.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c*i**3 - 120*c*i**2 - 112*c - 5*i wrt i.\nAnswer: 12*c*i - 240*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 117\/27*-3*1\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -648 in 3, 4, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2*z - 25, -55*z = -4*d - 35*z + 196. Let c(m) = m**2 - 15*m + 51. What is c(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 12 + 18. Let b = 5 + -5. Solve 0 = k*j - 3*r - 11, -4*j + 4*r + 18 - 2 = b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvgvvvhhhhvav. Give prob of picking 1 g, 1 h, and 1 a.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**3 - 151158100*r**2 - 2856096399451250*r = 0.\nAnswer: -37789525, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000045 to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*p - 8 = 66*p - 212 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11160 - 30?\nAnswer: -11190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -147, -137, -121, -99?\n\"Answer: 3*p**2 + p - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 - 37. Suppose -u*q = -q - 15. Suppose 3*f - 120 = -0*w - 3*w, -3*w - q*f + 112 = 0. Does 40 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - b + 72 = 0, -390*b + 199*b - 100 = -30*m - 193*b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.8 - -4. Let h = n + 0.93. Let q = h - 3.13. Which is smaller: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7399 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -22068460 - -5\nAnswer: -22068455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97379571?\nAnswer: 3, 32459857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b - 11. Let d(s) = 15*s**2. Give q(d(w)).\nAnswer: 30*w**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22833332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 77239062 divided by 1167?\nAnswer: 66186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 3*s - 1. Let h be g(2). Suppose 15 = -3*a - 2*t, -2*t + 0*t - 20 = 4*a. Let w = h - a. Solve -n - 17 = -5*k, w = 3*k - 2*n - 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*b - 42*b + j = 2, 8 = -4*j. Let o(r) = -r + 3. Let q be o(8). Put -3, -2, b, q in decreasing order.\nAnswer: b, -2, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(182\/(-35) + 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -27*(1252\/60 + -21). Factor -27\/5 - n*f - 3\/5*f**2.\nAnswer: -3*(f + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + (-9)\/3)\/((-5)\/(-45)). Let q(l) = 4*l + 5. Let a(h) = -17*h - 21. Give n*q(t) - 2*a(t).\nAnswer: -2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 64 = 4*a - 59, 4*i + 2*a - 450 = 0. Suppose 97*z + 22400 = i*z. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 - -19. Let n be c\/12*(-6)\/(-9). Let g(k) = -3*k + 4*k - 1 + 0*k. Let z(u) = -6*u + 6. Determine n*z(j) - 4*g(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -669*t + 62. Is i(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 82\/(-9) - (-64)\/576?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 3*g - 6. Let o be t(2). Let m(x) = -2 - o*x + 3*x**2 + 0*x**2 - 1. Let i(z) = -8*z**2 + 11*z + 9. Determine -4*i(a) - 11*m(a).\nAnswer: -a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*(4\/2 + -5)*19\/15561*91.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -297, -694, -1265, -2016?\nAnswer: -2953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkx when three letters picked without replacement from kkikikkkkkxkkxkkxi?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 16962955520321 and 0.7.\nAnswer: 16962955520321.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -579677850 divided by 5\nAnswer: -115935570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23925401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 - -63. Let j = -1017\/106 + 5\/53. Find the common denominator of j and ((-4)\/b)\/((-14)\/21).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide (-6054)\/(-15) + 6\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6*v = 2*j + 20, 0 = 4*v + 3*j - 40. Suppose 7*u = 525 - v. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3 + (5 - 3)*26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*g + 168, -f + 2*f + 4*g + 29 = 0. Let c = f - -33. Suppose b - 5*b + 12 = c. Solve -3*q = -b*h, -q - 4 = -3*h + h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -11 + 9 + 3 + -4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 578814021 to the power of 1\/2, to the nearest integer?\nAnswer: 24059","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 3*k - 5 = 5*q, 2*k - 16 = -2*q. Is 3 <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19070293399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2914249 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0150993122 minus -6558?\nAnswer: 6557.9849006878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/c**(-1\/8))\/c)\/(c*c*c**(-14)*c))\/(c\/c**(1\/14)*c\/c**(2\/47)))**(-2\/3) assuming c is positive.\nAnswer: c**(-24317\/3948)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -1 + 3 + 4*n**2 - 3*n**2 - 3*n + 0*n**2. Let c(d) = 3*d**2 - 7*d + 5. Determine -2*c(b) + 5*g(b).\nAnswer: -b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h - 13*h**3 + 7*h**3 - 8*h**3 as b + s*h + k*h**2 + z*h**3 and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - g**2 - 2*g - 2. Let x(q) = 7*q**3 - 73*q**2 + 12*q + 12. Give 6*i(l) + x(l).\nAnswer: l**3 - 79*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*a = -12. Suppose -a*d - 4*x - 20 = 0, -x - 3*x + 4 = -4*d. Let f = 0 - d. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 5*y**2 - 10*y - 3. Let c be x(7). Solve 5*q = -c - 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sshs when four letters picked without replacement from shsqphss?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 188758485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 9*i + i - 136 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6252 and 2406.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - 48?\nAnswer: -4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*x**2 - 8*x**2 + 70*x + 5*x**2 - 67*x.\nAnswer: -3*x*(6*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(98\/(121422\/(-63))).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2252 and 869835?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (13 - (4 - -3) - 1) + -4?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/4)\/(5\/(-40)). Suppose 0 = -0*a - 3*a + i. Factor 0 - 4\/3*v**2 - 2\/3*v - 8\/3*v**a + 14\/3*v**3.\nAnswer: -2*v*(v - 1)**2*(4*v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 2*b**3\/3 - b**2\/2 - 3*b. Let d be r(2). Suppose -3*y + 2*v - 3*v = d, -y + v - 1 = 0. Is -0.1 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -14. Is 17*(v - (0 - -2)) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4518 = 2313*i - 2319*i. Does 19 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13561146 - 3?\nAnswer: -13561151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 42*n - 98. Suppose 0 = -n*k + 1935 + 1393. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*c - 4*k, -3*c + 3*k + 2*k = -28. Let y be -2 + 3\/c*4. Let m be 9 + 10\/(-360)*-3*-110. What is the third smallest value in 3\/8, 3, y, m?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: What is 6225307 to the power of 1\/2, to the nearest integer?\nAnswer: 2495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123252, 240222, 357192, 474162, 591132, 708102?\nAnswer: 825072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 370 and 76390.\nAnswer: 2826430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 5739662 and 0.12.\nAnswer: 5739662.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/13 != -4513428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 12*b**2. Let s(j) = -j. Determine t(s(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 227 + -229. Sort 4, -1, z, -4 in increasing order.\nAnswer: -4, z, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-14))\/((-216)\/189).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 2 = -10. Let z be 1\/2 + (-81)\/(-6). Let g be z\/4 - i\/(-4). Let d(c) = -2*c**2 + 3*c + 2. Determine d(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69 - 73. What is the closest to 2 in 1\/4, t, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 10*b - 3. Suppose 0 = 25*k + 7364 + 3161. Let p = 412 + k. Calculate d(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 7*a**2 - 40*a - 9. Determine x(-9).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 9*v**2. Let s(z) be the second derivative of 0*z**3 + 0 + 1\/4*z**4 + 0*z**2 + 5*z. Give s(o(q)).\nAnswer: 243*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from lnlnzlzlzl.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 24*b**2 - 270*b + 4. Calculate f(11).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -799488 divided by -8328?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 26.04868 centimeters?\nAnswer: 260486.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 0. Let q = 85 - 69. Let l be ((-9)\/(-21))\/(q\/(-28)). Which is the third biggest value? (a) l (b) g (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-3 - 12) + 22\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**6*y - 13*h**6 - 2*h**4 - h**2*y - h**2 - 2*y wrt h?\nAnswer: 120*h**3*y - 1560*h**3 - 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -186742*a*x**2 - 18666*a*x + 4*a - 3*x**3 + 1 wrt x?\nAnswer: -373484*a - 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 2*g - 105. What is the units digit of a(24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**3 + 550070 + 7*u**3 + 618089.\nAnswer: 2*u**3 + 1168159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wohw when four letters picked without replacement from hwohhhoww.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**2 - 111*f = 0. Calculate f.\nAnswer: -37, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g**2 - 2. Let b(l) = -3*l**2 - 21*l - 2. Let d be b(-9). Let r be (-32)\/d*(18\/4 + -1). What is x(r)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 12*q**2 - q + 3. What are the prime factors of k(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 52*b + 66. Let c(i) = -i - 1. Let o be (-2)\/3*45\/6. Let t(v) = o*c(v) + y(v). What is the derivative of t(s) wrt s?\nAnswer: 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/1715 + -396157\/6860. Let c = g - -60. Let t = c + -31\/12. What is the nearest to -1\/4 in 0, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from knkkieggmmkg. Give prob of sequence gnme.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.04 + -0.04. Let v = g - 4. Let c be 15\/(-2)*2\/(-3). What is the nearest to 1\/4 in v, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240 = -2*y + 7*y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13)\/(-130) - (-58)\/20. Solve -g = j - 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3, -11, -51, -129, -257, -447?\n\"Answer: -2*j**3 - j**2 + 3*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l. Let b(p) = 28*p + 3. What is -b(v) - 4*h(v)?\nAnswer: -32*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 66 - 11 = 0. Let f = -2 - c. Let o(j) = -j - 5. Let u be o(-7). Solve -v + f = -u*k, 2*v + 2*v = -4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-10)\/r*r)\/r)\/((r**8*r)\/r*r)*((r\/(r**(-5)*r)*r)\/r)\/r**(-7) assuming r is positive.\nAnswer: r**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - s + 1 = 0, -3*x + 3582*s + 15 = 3585*s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -239, -1916, -6473, -15350, -29987?\n\"Answer: -240*c**3 + 3*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*m - 99 = 0, -3*b + 9*m + 123 = 5*m. What is the greatest common divisor of 165 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 857457.\nAnswer: 3, 95273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 31654?\nAnswer: -31646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 126 and 529416072?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-13)*4*(-4)\/(-752).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8960664247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1033082?\nAnswer: 2, 516541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**4*i + 2*b**4 - 199*b**3*l + 3*b**2*i + 105*b*i*l + 2*b*l + 9*i + l wrt b?\nAnswer: 48*b*i + 48*b - 1194*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - n**2 - n + 15. What is w(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1026114*i - 3078538*i + 1026125*i + 1026320*i.\nAnswer: 21*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 2*f + 3. Let u be d(3). Find the third derivative of u*j**5 + 4*j**2 - 23*j**5 + 3*j**5 wrt j.\nAnswer: -840*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2428589 rounded to three dps?\nAnswer: 2.243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 9:45 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5864\/32 - 1\/4.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 70*a**2 + 159*a + 14. Let y be m(-10). What is the highest common factor of y and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a minute in milliseconds?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 158 + -1344a0?\nAnswer: -134344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 264.6 - 257. What is the smallest value in -0.2, -0.07, 1\/2, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 686 minutes before 12:37 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 22 = 4*g, 9*g + 7 = 5*k + 11*g. Solve -k*j = -5*m + 2, -m - 5 = -2*j - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.014 - -0.116. Let c = -0.23 + d. Let z = -0.89999986 + c. What is z rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 10*z - 11. Let d be w(8). Solve 0*y + d = -5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*i**2 + 70*i - 14*i**2 - 14*i**2 + 120*i**2 - 33*i**2 as b*i + z*i**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 248938685?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 1 - 5*z - 2 - 2*z. Suppose -26 = 4*d - 6, 5*d + 49 = q. Calculate the least common multiple of q and t(-2).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26985981?\nAnswer: 3, 11, 817757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -5, 1, 18 in ascending order.\nAnswer: -11, -5, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 283 + -283. Let x(y) be the second derivative of 0*y**3 + 0*y**4 - 1\/90*y**6 + u + 0*y**2 - 1\/30*y**5 - 2*y. Solve x(l) = 0 for l.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -378*a + 2315. Let f be l(6). Solve 41*x = f*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 11 = -2*h. Let n(c) be the second derivative of 4\/27*c**3 + 1\/9*c**2 - 2\/5*c**5 - 1\/5*c**6 - 1\/9*c**h + 0 - 3*c. Solve n(m) = 0.\nAnswer: -1, -1\/3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 - 33816*q**3 + 71470116*q**2.\nAnswer: 4*q**2*(q - 4227)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*u - 34*u + 32888938 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1936070 divided by 2.\nAnswer: -968035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {t: 1, w: 6, p: 2, o: 2, s: 1}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -14. Suppose 5*r = 2*r - f. Calculate the remainder when 6 is divided by r*-3*4\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - -404225?\nAnswer: 404213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 3*w**2 - 10*w - 24. Let b be o(-3). Suppose 3*d = b, 3*d + 994 + 399 = r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 16*s**2 - 17*s - 7. What is a(17)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 171451586691941\/52908427740 - -1\/5038897880. Let d = g + -16203\/5. Find the common denominator of 23\/48 and d.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 2*n + 12, 7*n = -2*i + 3*n - 8. Suppose -i*q = 7*q + 2299. Let s = q + 340. What is the remainder when s is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 54258 divided by -2\nAnswer: -27129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**4\/8 - 4*t**3\/3 - 3606*t**2. Let u(n) = 2*n + 7. What is -3*s(a) - 4*u(a)?\nAnswer: a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 205 = -7*d. Let f = 6 - d. What is the remainder when f is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9435 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k**3 - 5*k**3 + 5*k**3 + (-3*k**2 + 3*k**2 + 2*k**2)*(-3 + 3 + k - 3*k + 2*k + 0*k + (0 + 2*k + 0)*(0 + 0 - 2) - 3 + 3 + 2*k + 2*k - 2*k - 2*k).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.73 + -0.43. What is the nearest to -1 in -1\/4, 3\/8, h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*z - 5673 - 1263 = 936. Sort z, 5, -3, -7, -5 in decreasing order.\nAnswer: 5, -3, -5, -7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 10 = 2*j - j, 0 = -2*c + 5*j + 18. Let s = 1396 + -1396. Find the first derivative of 4*r + s - c*r - 22*r**3 - 14 wrt r.\nAnswer: -66*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1943 - -1957. Let o(y) = y**3 - 14*y**2 - 2*y + 20. Determine o(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -43 - (-131 - -182)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - w + 3291, -3*z - 2*w + 2190 = -z. Let n = z + -683. Suppose 6*f + 1 = n. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 30\/(-70) - 2*(-61)\/7. Suppose 4995 = x*h - 1652. Is 33 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*h + 44*h - 5*f - 15, -h - f = -5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 24*x + 53. Give j(26).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 29 = 5*b, -5*p + p - 4*b - 4 = 0. Solve 0 = 4*i - p*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -12*u + 1. Let v(r) = 1427*r - 7. Let d(t) = -14*j(t) - 2*v(t). Let a(x) = -2*x**2. Determine a(d(z)).\nAnswer: -14429192*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2052*o + 1174*o**3 + 2052*o.\nAnswer: 1174*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 7 = 4*a - 9, y - a = 0. Suppose 0 = 3*w - w - l - 6, 4*w - 36 = -4*l. Let o = w - y. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14368 divided by 2.\nAnswer: 7184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 2*s + 0)*(4*s - s + s) + (5*s + 0*s - 4*s)*(0*s - s - s))*(s**2 - s**2 - 2*s**2) to x*s**2 + b*s**3 + o*s**4 + d*s + i and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from yyyyyyyyybyyyyyyygyy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 - 97\/3. What is the nearest to -1 in 1, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(75)*-2 + sqrt(3) + (sqrt(3) - (sqrt(3) + 0))*6) - ((sqrt(3) - (sqrt(27) + -3))*6 - (sqrt(300) + sqrt(300)*-2)*-2))**2.\nAnswer: -2124*sqrt(3) + 10767","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 10:21 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - p + 3 = 2, 2*g - 64 = 6*p - 15*p - 103 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/2 + (-2 - 1 - -5). Let q(d) = d**2 + 2*d + 1. Let k be q(-3). Let t be (6 - 2)*(0 + 1). Solve 0 = 5*r - 4*f + v, 3*f = -k*r - 1 + t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386036 to the power of 1\/2, to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14340315 is divided by 32298?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 156*y**4 + 6 - 2*y**3 - 26*y + 25*y + 142*y**2 - 72*y**2 - 71*y**2 to n*y**2 + f + r*y + p*y**3 + h*y**4 and give h.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14134*r**5*t + 3*r**3 + r**2*t + 2*r**2 + 55*r*t - 12*r - 8*t - 1 wrt r?\nAnswer: 282680*r**3*t + 18*r + 2*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39705359 to the power of 1\/3, to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*sqrt(13))**2 + (1 + sqrt(1053) - sqrt(1053)).\nAnswer: 20*sqrt(13) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 0\/(3\/(-3))) + -4. Is d at least -1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -7*y**2 - 43 + 64 - y**2 + y**3. List the prime factors of a(11).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 224 + -223. What is the closest to -0.1 in -10, 2\/5, q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -735*o - 92. Is c(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -101*t + 20. Let g be m(-2). Let a = g - 120. What is the remainder when a is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1957421778.\nAnswer: 2, 3, 13, 31, 809521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 6458.11675 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -5*y, 0*l - 5 = 3*l - 4*y. Let v(s) = -s**3 + 5*s**2 + 2*s - 7. What is v(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11.3 in 0, 1\/4, -3, -9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0 (b) 0.5 (c) -14 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 + 149. What is the greatest common divisor of 44 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5270*y - 5289*y + 646 = 0. Put -7, -3, y, -2 in decreasing order.\nAnswer: y, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69811692?\nAnswer: 2, 3, 5817641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -996, -2041, -3144, -4305, -5524?\n\"Answer: -29*m**2 - 958*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*-2*3\/(-30)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55 + 31*d + 55)*(2*d**2 - 4*d**2 - 2*d**2) + 2*d**3 + 2*d**3 - 2*d**3.\nAnswer: -122*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567854.\nAnswer: 2, 7, 47, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 6*w = 0. Suppose w = -5*t - 8 - 17. What is the third smallest value in 1\/3, t, 1\/9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6\/w*w**(1\/9)\/w)\/(((w*((w*w\/(w*w**(-2\/33)))\/w)\/w)\/w)\/((w\/w**(-2\/15))\/w)) assuming w is positive.\nAnswer: w**(2566\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 + 1 + (385 - 357).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (-13 - -8)) + -8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 12*l + 11. Let p be (22\/(-6))\/((-8)\/24). Let d be g(p). Solve d = w - 4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 + 78*l**2 + 122 - 58.\nAnswer: 78*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2364*n*o + 18*n + 3*o - 64826 wrt n?\nAnswer: -2364*o + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -899 divided by -5\nAnswer: 899\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**3 - 11*p**2 + 4*p - 12. Let c = 146 - 152. Let f be j(c). Sort -3, 3, f, 6 in increasing order.\nAnswer: -3, f, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93961240?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2202 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 2339?\nAnswer: -2336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*m**2 - 53*m**2 - 50*m**2 + 218*m**3.\nAnswer: 218*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11201334367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = -14*s + 35. Suppose 2 + 19 = s*j. Let z(m) = j + 2*m**2 + 5*m**2 - 12*m**2 - 4*m + 3*m**2. Calculate z(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.031 + 1.031. Let w be (1 - 1\/3)\/(34\/255). Let p be 4\/18 - (-1)\/9. Sort p, w, j.\nAnswer: p, j, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -3. Suppose 2*o - 16 = -g. Let a(m) = -o*m + 3*m + 6*m. Let n(b) = -b. What is n(a(h))?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1782*l = -1798*l - 64. Let y(q) = -3*q**2 - 18*q - 10. Determine y(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 2 (c) -2 (d) 1 (e) 0.2 (f) -19.207 (g) -0.2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 94\/7 - 13. Let a = -9.795 + 8.895. Let j be (-60)\/(-14) + (-2)\/7. What is the smallest value in j, p, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -61*j - 5. Let k be r(0). What is the biggest value in 3, 124, k?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -12. Let q be -45 + (-5 - (-55)\/10)*2. Put c, q, 3 in descending order.\nAnswer: 3, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1890600, 3781197, 5671794?\nAnswer: 7562391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -5*f - 23, 5*i = -5*f + 100 - 60 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 3*w**2 + 4*w + 2. Let u be m(-4). Solve u*d = -0*d + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -182408.362 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -426*f**2 + 1293*f**2 - 440*f**2 - 424*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 158847824 + -158848498.739976. Let i = -674.7 - r. Let l = i - 0.04. What is l rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3716 + 3715.9. Put w, -56, -4\/5 in ascending order.\nAnswer: -56, -4\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 3914088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2869091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 1:19 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 29, -3\/5, -8.9, 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 1309\/(-425) - 102\/(-25). Solve 6 = 5*o + 3*p, r = 33*o - 37*o + 2*p for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**4\/12 + s**3\/6 + 2*s**2 - 84*s. Give b(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*s**2*t**3 - 4*s**2*t**2 + 3*s**2 - s*t**2 + 18354*t**3 + 54*t**2 wrt t.\nAnswer: -60*s**2 + 110124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*z = -7. Suppose -a = -z - 7. Solve a = -2*s + 8*g - 3*g, s + 5*g = 23 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-164)\/(-12) + 3)*6. Suppose -x = -5*r - 0*r. Calculate the least common multiple of 16 and r.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5 + 27\/2*p - 1\/2*p**4 - 25\/2*p**2 + 9\/2*p**3 = 0. What is p?\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddddcddddcdddcc. What is prob of sequence ddc?\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -178*a**3*d**3*m**3 - 30*a**3*d**3*m**2 + 2*a**3*d*m**2 - 2*a*d*m**3 - d*m**2 wrt m?\nAnswer: -1068*a**3*d**3 - 12*a*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5821 is divided by 1450?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 179 and 70?\nAnswer: 12530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + t**2 + t + 5. Let y be z(-3). Let a = -13 - y. Calculate the remainder when 5 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7644103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*f + 26. Suppose 0 = 3*l - 6, 4*p - 8 = 3*p + 4*l. What is the lowest common multiple of p and f?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 377 + -142. Suppose -135 + 975 = 14*t. What is the remainder when n is divided by t?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 3*q = 2, -5*q - 1 = 3*r - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 7.8. Let m = -0.01 + 0.31. What is the second biggest value in m, 0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 522\/(-3432)*(-126)\/27. Let t = 19\/22 - o. Which is the third smallest value? (a) -0.01 (b) -1\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/6, -5, -1\/2, 4980, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21637 is divided by 5395.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26968 and 4168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2618 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 121?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -343 - -340. Let o be (-56)\/(-12) - 5\/(-5)*m. What is the nearest to 1\/2 in o, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + j - 86 = 0, 0*o + o + 3*j = -14. Let w be ((-8)\/(-12))\/(10\/(-75)). Which is the biggest value? (a) o (b) w (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 164 - 52. Suppose -63*u + 70*u - c = 0. What is the lowest common multiple of u and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.03 and 859035?\nAnswer: 884806.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(3993) + (sqrt(3993) - (sqrt(3993) + 3*sqrt(3993))))*6)\/(-2*(sqrt(1331) + sqrt(1331)*1 - sqrt(1331))) + -1.\nAnswer: -6 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**3\/3 - 9*f**2\/2 + 4*f + 5. Let i be c(-9). Find the third derivative of n**2 - i*n**4 + n**2 + n**4 + 2*n**4 wrt n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 0. Let v be 6 + (l + 0 - 3). What is the remainder when 136\/v - (-14)\/(-21) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -10 - -3 - 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q + 3. Let y(k) = 3*k + 4. Let x(w) = 4*m(w) - 3*y(w). Let o(d) = -28*d. What is x(o(c))?\nAnswer: 28*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, -26, 2576, -6, 0.3 in descending order.\nAnswer: 2576, 0.3, -6, -26, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-295)\/(-106495)*(-12 + 2\/1). Is p less than or equal to -4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -1, -2\/75, -75 in descending order.\nAnswer: 4, 0, -2\/75, -1, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 1606 = 5*a, -3*v - 1283 = -5*a + a. Let u = a - 2267\/7. What is the closest to 0 in u, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h - 6 = 2*l - 6*h, h + 15 = 5*l - 4*h for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide ((-468)\/(-21))\/((-3)\/(-14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105, -444, -1011, -1806, -2829?\nAnswer: -4080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161 = 36*h - 87 - 758 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -19. Suppose q*z = z + 3, 2*w = -2*z + 4. Is 25 - w - (-3 - -4) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1544*b**3 + b**2 + 1296.\nAnswer: -9264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + r - 10, -4*o - 5*r = -3*o - 14. Suppose -g - 13 = -o. Is (8\/3)\/(3\/g + 1) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -112804*o**5 - 10391*o**2 - 2*o + 5 wrt o.\nAnswer: -6768240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 6*a - 270 = 0. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/4, 2\/417, 8, -49 in descending order.\nAnswer: 8, 5, 2\/417, -1\/4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 16*o**2 + 15*o + 44. Suppose b - 5*m - 33 = 0, -3*b + 20 = 2*b + 4*m. Calculate the smallest common multiple of b and i(17).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*9*3\/(-15). Let i(s) = s**3 + 11*s**2 + 12*s + 7. What is i(y)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13657, -54640, -122949, -218584, -341545, -491832?\nAnswer: -669445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1298473?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.2 - 305985876522.1.\nAnswer: -305985876518.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 909987090 by -3.\nAnswer: -303329030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -5 + -7 + 23 + -11 + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvqqqqqqvqqvqqqvqq. Give prob of sequence vv.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12 - 1346488*x**4 - 2*x + 2*x + 1357815*x**4 + 341*x**2 wrt x?\nAnswer: 271848*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1002 divided by -1\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -534832*i**2. Let z(n) = -2*n. Determine v(z(o)).\nAnswer: -2139328*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k**5\/4 + k**4\/2 - 21*k**3\/2 + 11*k**2 - 5*k\/4 - 3\/2 = 0. What is k?\nAnswer: -3, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 6*r**2 - r + 3. Suppose 4*w - 2*l = 0, 0 = 4*w - 3*l - 4 + 8. Suppose -w*h = -6*h - 24. What are the prime factors of n(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 278358 and 5916.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {h: 7, l: 5, p: 7}?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 44582988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 47, 93, 139, 185, 231?\n\"Answer: 46*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -468*x - 84. Let r(w) = 70*w + 5. What is d(r(p))?\nAnswer: -32760*p - 2424","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, y: 4, c: 2, o: 8}. Give prob of picking 1 y, 1 c, and 2 d.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j + 7*j - 3*j)*(0*j + 2*j + 0*j + (1 + 0 + 5)*(4*j + 0*j - 6*j)) in the form g + a*j**2 + h*j and give a.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 8372*c**3\/3 - 25*c**2\/2 + 43*c + 2613. Find the second derivative of w(b) wrt b.\nAnswer: 16744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -4*d + 65. Suppose -5*p + 0*x + 4*x = 16, -d = 4*p - 3*x. Put -2, p, 11 in decreasing order.\nAnswer: 11, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2570403 and 8760.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20669 + 55?\nAnswer: -20614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4252242096?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.446741 to 0 decimal places.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4 + sqrt(500) + 1 + -3 + sqrt(125) + sqrt(125)*-4 + 3)**2.\nAnswer: -90*sqrt(5) + 206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 10) + 0 + 0\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 24 = 4*y, -3*y - y = 5*q - 32. Let i = 714 + -1507\/2. Calculate the common denominator of i and y*-1 + -5 + 628\/32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-3) - (-4)\/(-12). Let u be (2\/x)\/(-1) - 1. Let t be 142002 + -4 + 2 + u. What is t rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42152 - 2?\nAnswer: -42154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -5*h + 1. Give n(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4 + 0.3. Let i = -0.9 - -2.8. Let j = i + -2. Are j and a nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 bigger than -157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -2\/27*i**3 + 0*i**2 - 1\/27*i**6 + 2\/45*i**5 + 0*i + 23 + 1\/18*i**4. Factor w(p).\nAnswer: -2*p**2*(p - 1)**2*(p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/(-8) + 3 - 46\/(-4). Suppose i*j = 7*j + 640. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 21*i + 4. Let v be n(18). Let j = 76 - v. Suppose -j = z + z - 3*u, -4*z + 5*u - 32 = 0. Let k(o) = 4*o + 3. What is k(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + b + b + (4 - 2 - 1)*(-b - b + 4*b) + (2*b + 4*b - 3*b)*(-3 - 6 + 0) + 1 + b - 1 + 0*b + 0*b + 3*b + (-4 - 2 + 7)*(0 + 2*b + 0) + 1 - b - 1.\nAnswer: -21*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -10*m - 5. Suppose 0 = 3*w - 5*q - 40, 16 + 4 = w - 3*q. Suppose 7*c = 8*c + w. Is x(c) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {w: 1, i: 5, j: 3, s: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-6 - -6 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 1:03 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 26 - -1 - (1494 + -1456 + 0 + -59)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93 - -47. Let p = -27 - v. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 14*f**2 - 22*f - 3. Let v be k(-15). Calculate the greatest common factor of v and 867.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -79, 1\/3, -0.07, -3, 46, -22?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b - 11. Let u(k) = -10. Let a(z) = 1. Let s(f) = 15*a(f) + 2*u(f). Determine -4*g(h) + 9*s(h).\nAnswer: 4*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 59685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 88*b**3 - 2*b**2 + 1. What is f(-1)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/14*(-13)\/((-1560)\/(-84)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 5*q - 470. Let n = -58 + q. Suppose -n = 4*h - 8*h. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, -3, 0.1, 1\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 529 divide 819855239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i + i + 0*i)*(-6 - 4 - 9 - 6 + 3 + 2 + (-4 + 1 + 2)*(2 - 2 - 1))*(4 + 3 + 38) in the form w + k*i and give k.\nAnswer: -855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 75*d**2 + 666*d + 50054. Determine v(-75).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/26)\/(3\/2). Let g(f) = -5498*f - 93470. Let n be g(-17). Which is the nearest to w? (a) -2 (b) n (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a factor of 388596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 6:14 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -1220*s - 11309. What is the units digit of v(-42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5782.\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 - 2*u + 2*u - 3*u - 3*u**2 + 3*u + (-2*u + u - u)*(-2*u + 2*u - u))*((2 + 2 - 6)*(1 - u - 1) + 6 + 4*u - 6).\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/19)\/m*m**(4\/5))\/(m**(1\/10)\/(m*m*m**5\/m))*(m**(2\/5)*m\/(m\/(m**(-1\/4)*m)))**(-45) assuming m is positive.\nAnswer: m**(-17079\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12251.099928331 - 12251.1. Round v to 7 decimal places.\nAnswer: -0.0000717","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 - 30 - 49 + o**2 + 79.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21299952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 172 in 0.1, 0, 13730?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - y = 8. Let u = y - -1. Let a be 2\/(u*(-2)\/6). Solve a*m = -3*z - 2, -4*z - 5*m + 4 = -m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 16) to base 6\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -11\/57 (b) 6\/11 (c) -2 (d) 37 (e) -6 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205183.26 microseconds to days.\nAnswer: 0.00000237480625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3, 161 in ascending order.\nAnswer: -0.3, 3, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46422 and 36106.\nAnswer: 324954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -74*h + 8. Let x be r(-2). Is x equal to 156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-40) - ((-430)\/80 - -6)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.80422 + 0.19578. Which is the third smallest value? (a) 2 (b) r (c) 321\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 5452455?\nAnswer: -5452501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 117948858 to the power of 1\/2, to the nearest integer?\nAnswer: 10860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 6:33 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2449*t + 2431*t = 40374. Which is greater: -2242 or t?\nAnswer: -2242","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12 and -372.8155.\nAnswer: -360.8155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**4 + 8*i**3 - 84*i**2 + 72*i.\nAnswer: 4*i*(i - 3)*(i - 1)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 40*n**2 + 43*n**2 - 17*n - 80*n**2. Let p be w(6). Solve p*t - 3*t = -9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/(-3))\/(-2) - (-730)\/480. Which is the fourth biggest value? (a) 1 (b) -4 (c) -3\/8 (d) x (e) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - r - 97 = -3*t, 3*r = -12. Let c be (-3)\/(t\/(-3))*33. Calculate the greatest common divisor of 88 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1210453?\nAnswer: 397, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**4 - 4*g**4 + 5*g**4 - 4*g**3 + 4*g**3 - g**4 + (-g**3 - g**3 + 4*g**3)*(-g + 0*g + 0*g) + (6*g**2 - 3*g**2 - g**2)*(0 + 0 - 2*g**2).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-498)\/(-45))\/83)\/((-1738)\/(-165)).\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, y: 3, h: 1}. Give prob of picking 2 y and 1 h.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10933 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 844 or 842?\nAnswer: 844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (39 - (-32 - -24))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65504?\nAnswer: 2, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64\/21 - 26\/7. Let d = 0.07 - 0.37. Sort 4\/5, 2\/11, v, d in decreasing order.\nAnswer: 4\/5, 2\/11, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73 + -56. Suppose -20*c + q*c = -1020. Suppose 0 = -n + 6*n + 5*h - c, 4*n + 3*h - 274 = 0. What is the remainder when n is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 12:34 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*j = -36*j - 15172. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*528\/252 - (11 + 1).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4021587 and 60579?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -6*f**3 + 5*f + 5. What is the units digit of j(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 29*d + 2. Let w(r) = 4*r**2 + r - 2. Let c(p) = -22*p**2 - 6*p + 12. Let a(k) = 4*c(k) + 24*w(k). Calculate l(a(h)).\nAnswer: 232*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -3*o, -4*p + 17 + 1 = 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 189, -4, -5 in ascending order.\nAnswer: -5, -4, 189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n - 11. Let i be l(8). Put -5, i, 0 in descending order.\nAnswer: i, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000016047 to seven dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*m - 439, 0 = -4*a + 2*a + 2*m + 424. List the prime factors of a.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 13. Suppose 14 = z*b - 11. Solve 22 = -4*v + h, b*v = h - 0*h - 27 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -5 - (-3 - -29).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 180190 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: Let l(z) = 7*z + 4. Let y(d) = d**3 + d**2 + 11. Let f be y(0). Let g(m) = 4*m + 2. Determine f*g(q) - 6*l(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 83.925, -1.6, 1?\nAnswer: 83.925","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + ((0 - (-52 + 25)) + 8 + 1 - -9).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 1.92.\nAnswer: 3.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 9:11 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 9*b**4 - 5264*b**2 + 5263*b**2 + 3*b**4 to the form j*b**4 + v + g*b**2 + n*b + d*b**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 55 or -1.17?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 121 + -133 + (2 - -4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75.7 + 76. Which is the closest to 0.3? (a) 3\/8 (b) -4\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.8 - 1.2. Sort -2, 4\/7, -4, n in ascending order.\nAnswer: n, -4, -2, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2499)*-5 + sqrt(2499))\/(-5*sqrt(147) - sqrt(147))*-5 + 4.\nAnswer: -10*sqrt(17)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 1. Suppose -r - 41 = -2*x + 5*x, r = 2*x + 19. What is the units digit of v(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14814, 14848, 14884, 14922, 14962, 15004?\n\"Answer: f**2 + 31*f + 14782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 6 = -o, 4*o + a = 2*a + 9. Suppose 36 + 44 = o*s. What is the remainder when 158 is divided by s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -y + 22, 6*y - 3*y = g - 26. Suppose -6*d + 119 = g. Suppose -2*s + 22 = 4*w, 4*s + 2*w - d = 4. Solve r - 4*r = -s*f - 3, 4*r - 3*f = 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*v*x**3 - 296*v*x**2 + 1552*v*x + 4*v - x**3 - 21*x**2 wrt x?\nAnswer: 12*v*x - 592*v - 6*x - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 244712 + -92893. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k**3 + 17 - 17.\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 44 + 6 - 57 - -110.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-132)\/(-693)*(-9)\/12?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6\/8 + 6*1025\/(-1968)*(-6)\/5\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 2*k + 0*k)*(k**2 - 32 - 30 + 66 + k).\nAnswer: -2*k**3 - 2*k**2 - 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -58 (b) -42 (c) 32 (d) 4 (e) -123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(77)*-1 - sqrt(77) - sqrt(77)) + (sqrt(77) + -2*2*sqrt(77) - sqrt(77)))\/(sqrt(63) + 2*sqrt(63) + sqrt(112)*-2).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 5*k**2 - k - 1. Let w be b(-5). Let n = -211 - 10. Let v = n + 229. Solve w*i = 5*y - v, -i = y + i - 10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -45 + 52. Suppose 7*y + 2*v = 3*y + 2, 0 = 5*y - 2*v - j. Are -1\/87 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 13975*f. Let b(j) = -23359217*j. What is -5*b(l) - 8358*n(l)?\nAnswer: -6965*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135 (base 11) to base 6.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (41\/6)\/((-10)\/(-60)) + -4. Suppose -a - 2 = 0, 2*f - 42 - 10 = 4*a. Let v = x - f. What is the greatest common divisor of 75 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5750 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 647 and 2.\nAnswer: 1294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(76) - (1 + sqrt(76)*2))*-2*-1.\nAnswer: 10 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1000378 and 6?\nAnswer: 3001134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**1\/k*k)**(-27)\/(k**(-1\/3)*k)**(6\/29) assuming k is positive.\nAnswer: k**(-1570\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*c - 14*c - 18*c + 78*c - 29*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131203133 (base 4) to base 11.\nAnswer: 82a50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + 2 + (5 - (-2 - (-16 + 13 - 0))).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 17 - (160 + -170)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/(-4560)*-690*-8.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n**2\/6 - 22181*n\/3 - 44363\/6 = 0. What is n?\nAnswer: -1, 44363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/66 - ((-3567)\/902)\/(-87).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -2*p**5 + 9*p**4\/4 + 8*p**3\/3 - 9*p**2\/2 + 2*p - 12. Let a(v) = 0. What is v?\nAnswer: -1, 2\/5, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18702, -18703, -18704?\n\"Answer: -t - 18701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.69938 millilitres to litres.\nAnswer: 0.02369938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + a - 20 = i, -i - 3*a - 17 = 0. Let w = 10 + i. What is the units digit of 27\/3 + (6 - w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 4*r**2 - 2*r + 9. Let y be k(4). Let w = 63\/5 + -13. Is y at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 1.96. Let i = 0.11 - 0.17. Let j = i + v. Which is the second biggest value? (a) -1\/4 (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o + 7*o - 3*o + 5*o - o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of -5\/12*t**4 - 1\/168*t**8 + 1\/10*t**6 + 4\/15*t**5 + 11*t**2 + 0 - 2*t**3 - 2\/105*t**7 - 2*t. Solve l(o) = 0 for o.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 13*v**2 - 111*v + 20. What is the remainder when z(9) is divided by ((-3)\/(-2))\/(2\/20)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 133 - 155. Are j and -22 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/93812 and 71\/3471044.\nAnswer: 3471044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/g**1)\/g)**41*g**(7\/6)\/(g**(-6)\/g))**39)**(-4) assuming g is positive.\nAnswer: g**5122","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 1:56 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10565, -21114, -31663, -42212, -52761, -63310?\nAnswer: -73859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**2 + 9*u - 4. Let d(p) = -8*p**2 - 17*p + 9. Give -6*d(b) - 11*w(b).\nAnswer: 4*b**2 + 3*b - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 107*d**2 - 431*d - 2155. What is h(-103)?\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 10:18 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 81, 268, 565, 972, 1489, 2116, 2853?\n\"Answer: 55*g**2 + 22*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24469544.78 rounded to the nearest one hundred thousand?\nAnswer: 24500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 7*a - 99 = -122, -3*a = -3*k - 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2035824 to the nearest integer?\nAnswer: 1427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(300) - (sqrt(300)*3*-1 + sqrt(300)))\/sqrt(6))\/((-1*sqrt(20))\/sqrt(2) - sqrt(30)\/sqrt(3)*-4).\nAnswer: sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 10250693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - (-17 - 12)) + -58 + -1 + -5.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-26)*b)**(1\/26)*(b*(b*b**5)\/b)\/((((b\/(b*b\/(b*b*b**17)))\/b*b*b*b)\/b)\/b) assuming b is positive.\nAnswer: b**(-337\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -c**6\/2160 - 2*c**3\/3 + 6*c**2. Let l(p) be the first derivative of i(p). Factor l(f).\nAnswer: -f**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 + -17. What is the smallest common multiple of (-85)\/34*(-428)\/30 + 3\/9 and t?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 - 0.3. Let y = 0.6 + -0.54. Let f = -0.94 - y. What is the nearest to f in -0.2, q, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b6 + 3?\nAnswer: -b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 41?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cskkpppposskxsxppp. What is prob of picking 1 x and 1 p?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -23*p. Let w(q) = -3*q**2. Give w(l(a)).\nAnswer: -1587*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5774596 and 5944.\nAnswer: 2972","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -1\/6 (c) -394 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 25 = -3*y, 1260*n - 1256*n - 12 = -4*y for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 11 = 119. Suppose 0 = -4*v + i + 3 + 237, 5*i = v - 79. Let o = m + v. What is the greatest common divisor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5626884271900 + -1.\nAnswer: 5626884271899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 246 = -4*b, -59 = 11*b - 10*b - 3*f. Is b bigger than -65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 23*s - 51. Let q be n(-20). Let z(v) = v**2 - 10*v + 12. Let k be z(q). Solve 0 = -k*o + 5*o + 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a litre in millilitres?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b + 10. Suppose -4 - 4 = -2*m. Suppose m*r + 4*i + 4 = -8, 0 = -2*r - i - 10. What is the tens digit of g(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 16*z**2 + 19*z - 9. Let x be u(15). Let i = -30 + x. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -653\/1254960 + 5\/4482. Let a(r) be the third derivative of -r**2 + 0*r**3 + 0*r**5 + 0 + 0*r - 1\/600*r**6 + 0*r**4 - s*r**8 - 1\/525*r**7. Factor a(q).\nAnswer: -q**3*(q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*i**4 - 21*i**4 - 6 - 18 wrt i?\nAnswer: -44*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 657, 660, 665, 672, 681?\n\"Answer: i**2 + 656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4142 - 4078 - ((-5 - -4) + -1 + -1).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/10)\/((-18)\/50). Let b = -0.0035 + -0.0965. Which is greater: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -60, -96, -130, -162?\n\"Answer: l**2 - 39*l - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -85740.02693 to the nearest one hundred.\nAnswer: -85700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1343*m**4 + 1845 wrt m?\nAnswer: 5372*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77 or -4699?\nAnswer: -4699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*0.049.\nAnswer: -0.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 28 = -3*s. Let w be (252\/84)\/(3\/4). Suppose 4*r = 5*h - s, h + 0*r - 2*r = w. Solve 2*x + x = -5*q - 17, -8 = h*q for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 285*i**5 - 16655*i**4 + 81740*i**3 + 704460*i**2 + 359680*i - 45760 = 0.\nAnswer: -4, -2\/3, 2\/19, 11, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1046147 is divided by 686?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c16 (base 14) to base 12.\nAnswer: 2b64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 228\/(-30) + 3 + (-18)\/(-30). Suppose -4*k - 5 - 39 = 0. Let b = -1 + k. Put 3, j, 1, b in descending order.\nAnswer: 3, 1, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -5*p + h - 20 + 133, -595 + 601 = 2*h for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.1 + -10.4. What is the second biggest value in 0.2, m, -2, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 283404 or 283402?\nAnswer: 283404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 285726361?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6147952 + 16883917 = 9*c. Suppose -7*l + 6367115 = -c. Suppose i = -i - l. Round i to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.397992 to 3 dps.\nAnswer: -0.398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 46830883*0.3\nAnswer: 14049264.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 5 + 5)*(-d + 3 - 3)*(-3 + 2 - 2)*(5*d - 2*d - d).\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5361, -21257, -47679, -84627?\nAnswer: -132101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/45232 and -137\/17393760.\nAnswer: 191331360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 319500242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2234410010 - 10?\nAnswer: -2234410020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -0*p. Suppose 0 = -5*v + 2*n + 150, -5*n + 25 = -p*n. Is v a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 0.4, 3.05 in increasing order.\nAnswer: 0.06, 0.4, 3.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -7 + 135\/18 - 1558137\/(-42).\nAnswer: 23, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 89 + 498. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + -6 - -2)\/7. Which is the fourth biggest value? (a) h (b) -2 (c) 2\/19 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 2*sqrt(272) - sqrt(272) - (sqrt(272) + -2 + sqrt(272) + 1)) + (-6*(sqrt(272) + sqrt(272) + sqrt(272) + -1) - sqrt(272)*-1*3) + -5)**2.\nAnswer: 384*sqrt(17) + 69641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2*a**2 + 2*a)*(4*a - 4*a + a) - 2*a**3 - a**3 + 5*a**3 - 4*a**3 + 4*a**3 + 5*a**3 + a**3 + 0 + 0.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -156076.9999 - -156069. Let r = 8 + f. What is r rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.52357 rounded to 3 decimal places?\nAnswer: -0.524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 338 + -475. Let i = y - -134.32. Let h = i - 0.62. Round h to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 27456?\nAnswer: 27456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 288553 = 20*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*p + 36 = -87*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51917 is divided by 1207?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m**3 - 2*m**2 + 9*m + 10. Let v(z) = 2*z**3 + z**2 - 4*z - 5. Let u be 6\/(-10) - 352\/55. Let x(h) = u*v(h) - 3*g(h). Give x(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -2\/17, -1, 3, 4, 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 8:12 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 117*x**2 - 3*x + 3. Let c(s) = 5*s**2 + 2*s - 1. What is 2*c(b) + q(b)?\nAnswer: 127*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 619096, 619095, 619094, 619093?\nAnswer: 619092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 17\/6, -13, -51?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*p + 11 - 94 = 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108908 is divided by 767.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1615 divided by 95\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3 + 102*h**3 - 112*h**3 + 3 + 5*h**2 wrt h?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/2 of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57958?\nAnswer: 2, 28979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -3*u - 17. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -4*p. Let s(m) = m**3 - 5*m**2 + 2*m + 6. Let a(v) be the second derivative of -v**4\/12 + v**2\/2 + 10221*v. Determine p*s(b) - 6*a(b).\nAnswer: b**3 + b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/((-2652)\/17) - (-46)\/(-204)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 17*k**2 - 143*k - 21. Let w be x(7). Solve 9*v = -13*v - w for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -642 - 11053?\nAnswer: -11705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 8*k = z - 2282, -5*z = 4*k + 3011. Which is bigger: k or -2279\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5 + (sqrt(11) + sqrt(33)\/sqrt(3))*3)**2.\nAnswer: -36*sqrt(11) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1447629537979447060.00000073 - 1447629530057591885. Let g = -7921855268 + y. Let l = g + 93. What is l rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 + 6*v**2 - v - 4. What is the remainder when 114 is divided by x(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 - 50*i - 7. Let b be c(28). Calculate the highest common factor of 23 and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 455 from -25.\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 7*a**2 - 6*a - 4. Let h(r) = 6*r**2 - 6*r - 4. Let w(t) = -4*h(t) + 5*s(t). Let m be w(6). Does 12 divide m\/10 - 8\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-1 - -3)\/30). Let t = 20 + d. Solve 0*p = p + t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 129324 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*c + 5. Solve -7 = -z - q, 4*q + q - 30 = -c*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppaappaalpppppppa. What is prob of picking 2 p and 1 l?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000443985 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -176 + 119. Let p be 0 - z\/(-1 + -2). Let b = 53 + p. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3201 and 10379?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*j*s**3 + j*s**2 - 2*s**4 - 42*s**2 + 1 wrt s?\nAnswer: 36*j - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)*z*z**1\/z)\/(z*(z*z*z**(2\/7)\/z)\/z*(z*z**(-2)*z*z)\/z)*((z**(-1)*z)**(-18))**(-24\/11) assuming z is positive.\nAnswer: z**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 24861911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 2*h - 3*h + 3*h + h - 3*h + (-1 + 6 - 3)*(h - 3*h + 3*h))*(2*h**2 + 11*h**2 - h**2).\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 6. Suppose k*i - 6 = -x, 2*i - 19 + 3 = -2*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-18) + -34*(-1)\/(-48). Suppose -7*f + 4*f = 0. Which is smaller: f or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1166063?\nAnswer: 103, 11321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/6 and -79\/852902.\nAnswer: 2558706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12135548 rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000101000010000 (base 2) in base 10?\nAnswer: -166416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -28 (b) 2\/9 (c) -324\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 6 = -3. Let a = g - 1. Suppose -m + r - 1 = a, -2*r = -5*m + 4 - 3. Solve 0 = 2*h - m + 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 7*h**2 + 5*h + 2. Suppose 2*m - 2*k + 20 = 0, -4 = 2*m - 3*k + 5*k. What is the units digit of x(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 3*z + 0*z)*(4 - 4 + 2*z**4) - 3*z**2 + 14*z**5 + 3*z**2 + (0 + 2*z + 0)*(-z**3 + z**3 - 3*z**4).\nAnswer: 10*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 3 + 4 + 2*l**2 + 5*l + 0*l**2. Suppose 43*t - 81 = 134. Suppose 2*u = -0*n + 2*n + 6, u + 1 = t*n. Determine a(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -2*a + 6*a. Let k be (-10)\/55 + 68\/a. Let s(b) = b**2 - b. Let l be s(2). Solve t - l = -k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*b + 11 = -2, -5*b + 5 = -5*a. Solve 3*n = -a*n - 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18\/101 - -350\/303. Sort 5, 0.3, -1\/2, k in decreasing order.\nAnswer: 5, k, 0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -26 - 57*k - 67*k - 56*k + 152*k. List the prime factors of y(-2).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17413 = -5*p + 7457. List the prime factors of p.\nAnswer: 2, 3, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 23*h**3 + h**2 + 17*h. Suppose 4*m - 81 = -3*s + 8*s, -47 = 3*s - 4*m. Let u(q) = 8*q**3 + 6*q. Give s*u(d) + 6*j(d).\nAnswer: 2*d**3 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -4 (b) 0.42758 (c) -239\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 2, 0*z - z - 3387 + 3381 = -4*g for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7051.000002172 + -7051. Round m to 7 decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.7 - -0.7. Let z = 2.0000007 + q. What is z rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-9 + (2 - (-1 + -13)) - 5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*y - 30 = -5*n + 36*y, 0 = -5*y - 35 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 7, -4, 4 in descending order.\nAnswer: 7, 5, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/7, 294, 21\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**3 - 3*d**2 - 91*d + 34807.\nAnswer: -3*d**2 - 6*d - 91","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/595)\/(5\/35).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/1757 or 1?\nAnswer: -3\/1757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7047488, -7047489, -7047490, -7047491, -7047492?\n\"Answer: -j - 7047487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1810248.\nAnswer: 2, 3, 11, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5055 - -56?\nAnswer: 5144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3*(sqrt(1053) + -1)**2*-2 - (-6*((sqrt(1053) - (sqrt(1053) + 0)) + 2))**2)*2.\nAnswer: -1080*sqrt(13) + 64680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -5*h - 24201, 3*p - 18107 = h - 6*h. What are the prime factors of p?\nAnswer: 2, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.4 * 2.176\nAnswer: 7.3984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 2 + 0)*6.\nAnswer: 6*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k\/((k*k\/k**(-3\/11)*k)\/k)*k)\/k)\/k)\/k)\/k*k\/((k*k**(-33))\/k)*k)\/((k\/((k\/k**(1\/54))\/k))\/k**7) assuming k is positive.\nAnswer: k**(21805\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 336 = 3*m. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 256752?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zrzzwzwrz. What is prob of sequence rzz?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30113*u - 30110*u + 3, o - u = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*m**3*t + 3138*m**3 + 384*m*t**4 wrt t.\nAnswer: -18*m**3 + 1536*m*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = 201 + 99. Let d = 53 + v. Suppose d*n - 185 = -l, -l + 184 = -3*n - 1. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 119 = -0*m. Let y be -17 - (-3 - -2)\/1. Is y bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 567600.7 weeks to milliseconds.\nAnswer: 343284903360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -u**3\/15 - u**2\/10 + 2*u\/5 - 49. Determine l so that k(l) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-12)*(102\/(-18) - -6)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 19 - ((-5805)\/243 - -43)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -159*p**2 + 40*p**2 - 242*p**2 + (-p - 3*p + 3*p)*(-6*p + 2*p + 3*p).\nAnswer: -360*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6*a. Let t be (41\/3)\/(7\/(129 + -3)). Let g(i) = t*i + i**2 + 243*i - 489*i. Calculate g(h(m)).\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*m**3 + 107*m + 11*m**3 + 17*m**3 - 48*m**3 + 1358*m.\nAnswer: -m**3 + 1465*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of l**3\/3 - 2*l. Suppose 0 = -4*n - 5*a + 41, 0 = -3*a - 4 + 19. Let k(m) = m - n*m + m. Determine k(r(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0766 and -5.802.\nAnswer: -5.8786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 14*g - 8. Let j be a(13). Let l = 36 - 35. Calculate the highest common factor of l and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003773 rounded to 6 decimal places?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*l + 5*l. Let g(v) = -v**2 + 7*v + 3. Let n be g(7). Let s(p) = -4*p**3 + 6*p**3 - 1 + 0*p**n - p**3. Calculate s(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 6*d**2 + d - 1. Let h be v(6). Suppose -h*t + 4986 = -504. What are the prime factors of 3\/(-5) + t\/30?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -136*f**2 + 4*f - 4. Let a be x(1). Let k = 136 + a. Let p(m) = m - 1. Let y be p(0). What is the nearest to k in 0.4, -4, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3947223?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 9*v**2 + 8*v. Let x be r(8). Let o be (2 - x)*3\/6. Solve -o = -w - 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 12 - -68 - 24 - -13\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 13. Let f = -6.9 - u. Are f and -0.12 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**4 + 3*q**4 + q**4 + (q + q + 3*q)*(-2*q**2 + 3*q**2 - 3*q**2)*(-189 + 58*q + 189) as i*q**3 + f*q**2 + n*q**4 + g + m*q and give n.\nAnswer: -578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 19*h**2 + h - 17. Calculate z(19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34232343240 - -10?\nAnswer: -34232343230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -11285555*w - 33856671. What is l(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28\/12 - (-2)\/(-6). Suppose r - 2 + 1 = s*g, 0 = -2*r + g + 5. Suppose -140 = -r*f - f. Calculate the remainder when f is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ljlqlqlqqllqqqllq. What is prob of picking 2 q and 1 j?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 2*c - 25316 = 0, 3*w - 4961 - 4513 = -4*c. Does 50 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 155842940 and 3242?\nAnswer: 155842940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 154341 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -21.49 (c) -2 (d) 0 (e) -0.02 (f) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3027299221.\nAnswer: 3027299221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*b - 8 = 0, -7*b + 12 = 5*n - 11*b. Is 13\/4 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2451340*j**2 + 2*j - 3807001.\nAnswer: -4902680*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 14. Suppose -t = 4*k - 10, n*k - t = 8 - 0. Suppose p = k*p - 28. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 332922457 is divided by 110974146.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/8)\/((-76)\/8). Which is bigger: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -13*z - 6. Let p(q) = -7*q - 3. Give 4*k(l) - 7*p(l).\nAnswer: -3*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -139075215 by 6571.\nAnswer: -21165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 - 1792*q + 129*q**3 + 0*q**2 - 1391*q - 128*q**3.\nAnswer: q**3 - q**2 - 3183*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*y - 47. Let t = 22 - y. Let d(l) = l - t*l + 3*l - 4*l. Let g(w) = -5*w. Calculate d(g(o)).\nAnswer: 15*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r. Let k(c) = c**2 - 3*c - 5. Let z be k(5). Suppose -3*l = 3*q - 4*l - 10, 5*l = -z. Let v(m) = -m**2 + 5*m**2 - q*m**2 - 3*m**2. Give d(v(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (180\/(-8))\/(-3)*(-194)\/(-291). Solve t + 13*l - 9*l = -2, -m*t + 15 = -5*l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3379237*p**3 - 3379254*p**3 + 4*p**2 + p**2 + p**2 - 6*p**2.\nAnswer: -17*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7483 is divided by 473.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 6 + -3 + (6 - (6 - 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9718692 meters in nanometers?\nAnswer: 971869200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 195 - 191. Suppose m + 8 = -5*d, -2*d + 4 = -d + 3*m. Let h = 4 + d. Solve -r = -h*r - a for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + ((sqrt(252) - (sqrt(252) + -5 + (1 + sqrt(252) - sqrt(252)) - sqrt(252))) + 0)**2 + (-1*sqrt(112)*4 + -4)**2).\nAnswer: 704*sqrt(7) + 8308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 14*t**2 - 27*t - 9. Let w be c(-11). Let b = 129 + w. Calculate the common denominator of -13\/2 and 639\/b*(0 + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-38)\/(-10) + (-2)\/(-10). Let k be (-3)\/(3\/(-2)) - -2. Suppose -5 = -5*f + k*f. Which is the closest to 2? (a) f (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*v + 3*v + 297945*v**5 - 1137*v**2 - 299154*v**5 wrt v?\nAnswer: -72540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.58046248 rounded to 4 decimal places?\nAnswer: -0.5805","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4245001 (base 7) to base 6\nAnswer: 15014414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 + 1. Let p = 675 + -673. Which is the nearest to p? (a) v (b) -0.3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120357 at most as big as 123253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -810*a**4 - 3*a + 808*a**4 + 0*a**2 - 3*a**2 as n*a**2 + s*a + t*a**3 + x + m*a**4 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 380e (base 15) in base 9?\nAnswer: 17335","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c*m*t**2 - 4807313*c*m*t + 55*c*t**2 - 2*c*t + 11*c + 4*t**2 - 153 wrt m?\nAnswer: 2*c*t**2 - 4807313*c*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - 74\/(-14))*(-1)\/(-4). What is the smallest value in h, -3\/2, -0.5, 2\/11?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8*-4607502.\nAnswer: 3686001.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 344838943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4706 and 1086.\nAnswer: 14118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 429025708?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1133424 + -4?\nAnswer: 1133420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*b**2 - 33*b**2 + 3458 + 14*b**2.\nAnswer: 2*b**2 + 3458","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -127 - -132.4. Let u = 5.6 - w. Let l = 0.4 - u. Which is smaller: l or 12?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rd when two letters picked without replacement from {v: 2, d: 4, r: 2, h: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 426712112*z**3 - 15*z**2 + 19676*z - 46.\nAnswer: 2560272672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -151 and 7.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -11108*u**5 - 688672*u**4 - 5741348*u**3 + 152902920*u**2 - 547777008*u + 1182816 = 0.\nAnswer: -37, 6\/2777, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 7*m - 3. Let q be b(4). Let u = 26 + q. Suppose 0 = 2*l + 3 - u. Let s(y) = -y**2 + 2*y + 4. Give s(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -0.5, -676, 3, -21 in descending order.\nAnswer: 3, -2\/7, -0.5, -21, -676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*d + 2 = -1, -d + 13 = 3*g. Let k(s) = -s**3 + 6*s**2 - 6*s + 1. Let m be k(5). Let v be (-7)\/(-2) + (-2)\/m. Solve -g*j + v*j = 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11030 divided by -5\nAnswer: -2206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**5*z**(-6)*(z**(-9\/5)\/z)\/(z*z**5*z*z) assuming z is positive.\nAnswer: z**(-59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*k - 87261 = -88476 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 7*z**5\/6 - z**4\/12 - z**3\/6 + 3*z**2\/2 - 5. Let u(c) be the second derivative of f(c). Is u(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**10\/(y\/(y\/y**(2\/11)))*(y*(y*y\/(y\/(y*y**12)*y))\/y)\/y*y*y**11\/y assuming y is positive.\nAnswer: y**(361\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 79629 and 1345766198.\nAnswer: 1345845827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zb when two letters picked without replacement from {o: 2, a: 2, m: 3, z: 2, b: 2, x: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.358 + -227.518. Let q = x - -222. Let g = q - -0.16. Sort 0.4, g, 3\/4 in ascending order.\nAnswer: g, 0.4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 900 is divided by 889?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3379*u**2 + 155*u + 7905. Let v(i) = 65*i**2 + 3*i + 152. Let n(r) = -3*t(r) + 155*v(r). Find the first derivative of n(q) wrt q.\nAnswer: -124*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*a + 175 = 9*a - 5*a. Solve -18 = -5*q + s, 0 = 3*q + a*s - 30 + 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -927.\nAnswer: -2\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4\/97, 0.3 in decreasing order.\nAnswer: 5, 0.3, -4\/97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -11*v**4\/24 + 187*v**3\/6 - 2*v**2 - 171*v. What is o(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 270 and 105705?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44404*i*t**2 - 2*i*t*y**3 + 176*i*t*y - 50*i*y**3 - 253*t**2*y**3 + 37*t*y**2 - y**3 - 2 wrt t.\nAnswer: -88808*i - 506*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 4*d - 4, -3*s - 445*d + 20 = -443*d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22798799 to the power of 1\/2, to the nearest integer?\nAnswer: 4775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 121 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty ninths of a day in minutes?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -198754874 rounded to the nearest one hundred thousand?\nAnswer: -198800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {d: 9, p: 2}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 15 + 3)*(1 - 2 - 1)*(-4*r + 2*r + 3*r) + (-r + 4*r - r)*(1 + 1 - 1) - r + 0 + 0 - 2*r - 3*r + 3*r to the form u + b*r and give b.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -251\/120*i**6 - 23\/6*i**5 + 0*i**4 + 0 + 0*i**3 - 2*i**2 + 15*i. Find the third derivative of r(m) wrt m.\nAnswer: -1506","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 3*u + 130437 = 0. Let t be -3 + (-164)\/(-52) + u\/(-13). Suppose -5*w - 5*j + t = 0, 5*w - 1369 = 3*j - 286. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-3)\/(9\/(-57)). Let j = -20 + y. What is the lowest common multiple of ((-20)\/35)\/(j\/7) and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1859.9 - 1860. Is o greater than -4172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -13, 129, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5*u - 43. Let f(r) = -15*r + 128. Let b(c) = 6*f(c) + 17*p(c). Let v = 76 - 92. Let a be b(v). What is the highest common divisor of a and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*g - 16. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -32, -75, -134, -209, -300?\nAnswer: -407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 - 6*j**2 - j**2)*(1 - 1 + 2*j) + 5*j**2 - 8*j**3 - 5*j**2.\nAnswer: -28*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3859774772109\/15941 + -242128773. Let w = t - 2\/839. Let i be (-3)\/2*(-8)\/(-42). What is the third biggest value in w, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 350 and 52122.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 77? (a) -43 (b) 38 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/1*(-14)\/4*208\/728?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1533466 is divided by 178?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 - 2*h + 7. Suppose 0 = -33*q - 636 - 5898. Let x be q\/44 + 9\/(-6). What is w(x)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7 + -1 + -2 - 3. Let n(m) = m**3 + 15*m**2 + 7*m - 19. Let s be n(t). What is the remainder when 12 is divided by 2\/8 + s\/48?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b, 2*y - 2*b - 114 = -y. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 61 = -2*n - 14*n - 3*n, 2*p + 8*n = 26 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-284)\/(-7) - (-42)\/98. Let c = d + -38. Let s(w) = w**3 - 2*w**2 - 5*w + 4. What is s(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 63\/(-4) + 12\/16. Let u = -4 - b. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 92 - 148)*(48 - 59 + 0*x + x).\nAnswer: -220*x + 2420","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 2 (c) -10.45 (d) 275\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137*((-6)\/(-4))\/(4\/8) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -1\/9 (b) 3.1 (c) 0.078\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/14)\/((14\/(-4))\/(-7))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*(sqrt(168)\/sqrt(4) - sqrt(42))\/sqrt(6) + (-2 + sqrt(63) - sqrt(70)\/(sqrt(160) + sqrt(10))))**2.\nAnswer: -56*sqrt(7)\/5 + 1472\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2. Let v(j) = 26*j**2 - 16*j. Let b(u) = 5*u**2 - 3*u. Let z be (0 - 6\/(-2))\/1. Let w(o) = z*v(o) - 16*b(o). What is l(w(a))?\nAnswer: 12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 4 = 2*z. Suppose -3*k - 26 = -5*n, n + 12 = 4*k + 6*n. Let j(t) = -t. Let f be j(k). Sort f, z, 1 in increasing order.\nAnswer: 1, f, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*5\/25*-5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-4))\/5*2\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 130 + -127. Factor -2\/5*x - 4\/5 + 4\/5*x**2 + 2\/5*x**p.\nAnswer: 2*(x - 1)*(x + 1)*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/((-498)\/102 + (-4)\/34). Let k(z) = -4*z + 1. Let u be k(-1). Which is the smallest value? (a) 2\/5 (b) s (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q - 1. Let s(p) = -6*p + 2. Let b be 7 + (-2 - 0) + 10\/(-5). Determine b*l(y) + 2*s(y).\nAnswer: 3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -25 (b) 2\/5 (c) -99 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xaww when four letters picked without replacement from lxacanxwxwnannnnw.\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -130 + 152. Let u be -3*33\/6*-2. Calculate the greatest common divisor of u and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5\/2107?\nAnswer: -5\/2107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 AM and 1:07 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 less than 119392?\nAnswer: 119391.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 k, and 1 e when three letters picked without replacement from ekeemll.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3159*a**2 + 10524*a**3 - 10523*a**3 + 3159*a**2.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 - (1 - (3 - 2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -318831 - -767031. Suppose 5*q + d = 11*q. What is q rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1434 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3001328396?\nAnswer: 2, 11, 68212009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -106 - -166. Let t = 113 - f. Suppose 5*s - 107 = t. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 328 - 317. Solve -4*b - 14 = -g*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(85) - (sqrt(85) + 2*(sqrt(85) - (sqrt(85) + (sqrt(85) - sqrt(85)*-3))) - sqrt(85)))\/(sqrt(15)\/(sqrt(18)\/sqrt(6))))**2*6.\nAnswer: -49572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2 - (-10)\/6). Differentiate 1 + u**3 - 3*u**3 + u**q wrt u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 17*s**6\/30 - s**5\/5 - s**3\/2 + 25*s**2\/2 + 28*s + 1. What is the second derivative of w(j) wrt j?\nAnswer: 204*j**2 - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*b + 302*b + 11 = 2*d, 2*d - 8 = -4*b for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = u + 684, 4*t - 528 = -0*t - 4*u. Suppose -3*x - t = -1306. Is 65 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356247119 to the power of 1\/2, to the nearest integer?\nAnswer: 18875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 22. Let h be z(6). Let d = 49 - h. Calculate the remainder when d is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5772438?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 93 = 3*f. Is -2 + 1\/(1\/f) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2*l = 21. Suppose 4*i = t - 89, i + 388 = 7*t - 2*t. Let s = t + -36. Calculate the remainder when s is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 2465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q - 1. Let d be 5\/(20\/(-12)) + -2. Let p(y) = -11*y + 3. Give d*t(h) - 2*p(h).\nAnswer: -3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 6303*z**2 - 18890*z**2 + 6305*z**2 + 6302*z**2.\nAnswer: 20*z**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/4835 or -1?\nAnswer: 2\/4835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3744) - -2*sqrt(3744))*-2)\/(sqrt(22)\/(sqrt(99) + sqrt(11))*-5).\nAnswer: 288*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/5 - 3400662*i\/5 + 2891125509561\/5.\nAnswer: (i - 1700331)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 380*i - 6463 + 1523 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-180*w + 89*w + 94*w - 45)*((-2*w**2 + 2*w**2 - 2*w**2)*(4*w + w - 4*w) - 2*w**3 + 0*w**3 + w**3) to h*w + z*w**4 + x*w**3 + o + p*w**2 and give x.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-46) + 348955\/31786.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 3*m, m + 3 = 4*p + 2*m. Suppose -2*a - 111 - 159 = 0. Let c = -1216\/9 - a. Is c equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -2\/11*i**2 + 2\/11*i**5 + 0*i - 6\/11*i**4 - 46 + 6\/11*i**3. Determine v so that h(v) = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3 + 4*sqrt(363)) + (sqrt(363)*-1 + 1 - (-4 + -1 + sqrt(363))) + 5)**2.\nAnswer: -12584*sqrt(3) + 176368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 9:52 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4672 minus 3727?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 222*b**6 + 106*b**3 - 49361*b**2 wrt b?\nAnswer: 26640*b**3 + 636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 528*p + 94 = 523*p, -234 = 13*p for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + 0 + 0)*(8 - b - 253 - 84) in the form r + z*b + q*b**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/7 (b) 0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - l = 0, 3*m = l + 12. Suppose z - 2*v - 471 = 3*v, 8 = -m*v. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -515, -2065, -4639, -8231, -12835, -18445, -25055, -32659?\nAnswer: -41251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*q - 26 + 26)*(-59 - 120 - 56) + (0*q + 2*q + 0*q)*(2 - 2 + 2).\nAnswer: 3059*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1292 divided by -4\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*q = -3 + 93. Solve 2*i - q*y - 10 = 0, -4*y - 1 - 16 = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/100 and 10881\/(-2772) - 10\/55.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15338 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152 and 113732.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 138, 3, 0 in increasing order.\nAnswer: 0, 3, 34, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/((-64)\/(-12))*(-16)\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 639*m + 2850 = 734*m for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**19\/t)\/t**(-11))\/((t*t**(10\/7))\/(((t**(-6\/19)\/t)\/t)\/t)) assuming t is positive.\nAnswer: t**(3093\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/468 and 121\/3380.\nAnswer: 30420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 396207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1423*v + 3 + 505*v - 1013*v + 236*v - 1695*v.\nAnswer: -3390*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 + 3*n - 6. Let k(u) = -6*u**2 + 10*u - 18. Let c(s) = -4*k(s) + 11*t(s). What is the remainder when c(4) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 9) to base 13.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 10*x**2 + 97*x + 8. Is u(22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34138 is divided by 10829?\nAnswer: 1651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21402 or 21405?\nAnswer: 21405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 16*y - 9. Let c be o(6). Suppose c*a - 53*a = 0. Suppose -m + 4*m - 27 = a. Calculate the least common multiple of 3 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6*1)\/(72\/(-21636)). Suppose -771*c - s = -774*c. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.17 - 0.17. Let t = 0.5 - -0.5. What is the closest to -0.1 in t, h, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - 22 - (1 - (2 - 7)) - 25?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6826.5652 rounded to the nearest ten?\nAnswer: -6830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4378)\/935 - (-7)\/(-35))*1\/15 and -77\/60.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-35)*(-8162)\/(-424)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 2 + 2)*(-2 + 2 + 2*f**2) to l + k*f + c*f**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1953256847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -579*h + 574*h - 5 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4011 divided by -5?\nAnswer: 4011\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -374, -679, -1090, -1613, -2254, -3019?\nAnswer: -3914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25373 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 1:45 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 2, i: 17}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 2*g + 1. Let j be b(4). Suppose -f = 2*f - j. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1030\/618)\/(5\/12). Let w(i) = -i**3 - i**2 + i + 1. Let x be w(-1). Suppose -z + y = -x*z - 775, 3104 = p*z - 5*y. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1178 is divided by 235.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.75936 + -0.24064. What is the nearest to -0.2 in o, -3\/4, -74?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1770826719 to four decimal places.\nAnswer: -0.1771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 - -1000332?\nAnswer: 1000220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from hptcbth.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**3*l**2*u - 102*f**3*l**2 + 363*f**3*u + f**3 with respect to u.\nAnswer: 2*f**3*l**2 + 363*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, -34222597 in decreasing order.\nAnswer: -3, -6, -34222597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 8 = 2*y, 0*m + 8 = 2*m. Let n be 141\/27 + 2\/(-9). Solve t - 5*j = -27 + n, y = 2*t - j + 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28952838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or -7\/400?\nAnswer: -7\/400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -37*y**6\/10 - 245*y**3\/3 - 581*y. Find the second derivative of c(m) wrt m.\nAnswer: -1332*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18223 or -54665\/3?\nAnswer: -54665\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -0.04699.\nAnswer: -0.09398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 3*m + 8562, 5*m - 11914 + 494 = -4*w. Is 25 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/21 and -19\/136290.\nAnswer: 136290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21368494 - 21368494 - h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3658848079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 + -56. Put -0.5, c, 1, -3\/8 in decreasing order.\nAnswer: 1, -3\/8, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34165?\nAnswer: 5, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3709 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8019475?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/27 + (-140)\/(-18). Suppose 0 = -b*v + 3*v + 75. Suppose -5*w + 2*w + v = 0. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -6*z. Let a(r) = -6*r**2 + 2*r. Determine a(s(g)).\nAnswer: -216*g**2 - 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/234 or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**2 + 136*g - 1115. Give w(59).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + j**2 + 2. Let x be g(2). Is 13 a factor of ((-1)\/x)\/((-1)\/(-26))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-3*(-6)\/(-9)). Let k = -129 + 519\/4. Is k > s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*t - 36*t + 54*t)*(9*t + 169 - 7*t - t)*(t + 0*t - 3*t).\nAnswer: -126*t**3 - 21294*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 35*f + 539. Give z(-15).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z - 4 + 4)*(4*z**2 - 2*z**2 - 3*z**2) + 1866 - 1866 + 13*z**3 + 10*z to s*z + v*z**3 + x + m*z**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201 (base 3) to base 10.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -82 - -297. What are the prime factors of s?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12256712 a multiple of 268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by 215669\nAnswer: -20\/215669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584) + -2*sqrt(1584)*2)**2 - (sqrt(1584) + -1)*-3.\nAnswer: 36*sqrt(11) + 14253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9 + (1 - -2))*-9?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32850661 is divided by 573?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(720) + 0 + sqrt(720))*1 + 3)**2.\nAnswer: 144*sqrt(5) + 2886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**4 - 3*v**4 + 0*v**4)*(2 - 9 - 2)*(v - 2*v + 0*v - 43 - 5*v + 43 + (-4*v + v + 2*v)*(-2 + 1 + 0) - 2*v + 5*v - 2*v).\nAnswer: -36*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.833713kg in nanograms?\nAnswer: 3833713000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.4 + -9. Let r = -0.6 - p. Let k = r + 0. Which is the second smallest value? (a) 2 (b) -1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*o - 7779 = -3*f, -3*o + 12957 = 5*f. Is 32 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*(-315)\/(-29400)*-460?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 122 + -120. Let y(o) be the first derivative of 0*o + 7 - 1\/36*o**6 + 1\/9*o**3 + 1\/12*o**v + 0*o**4 - 1\/15*o**5. Find n such that y(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(176))\/(sqrt(4) - sqrt(8)\/sqrt(18)) + 3)**2.\nAnswer: 36*sqrt(11) + 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405666 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from zzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h**3 - 34*h**2 - 65*h + 30. Let y(a) = a**3 - 7*a**2 - 13*a + 6. Let v(i) = 2*l(i) - 11*y(i). Calculate the remainder when 837 is divided by v(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-32))**40*(v*v\/(v\/(v*v\/v**2))*v*v)\/(v*v**(-1\/8)) assuming v is positive.\nAnswer: v**(-10223\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*u - 15. Find the first derivative of 3*l**3 + 112*l - 10 - 44*l - 41*l - u*l**3 wrt l.\nAnswer: -6*l**2 + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 19*q + 1. Suppose 0 = -7*d + 130 + 143. What is the remainder when d is divided by c(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 58781*i - 529044. Give w(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1991008 and 128668892.\nAnswer: 1029351136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54*-2.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 + 316. Which is smaller: 280 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 2*d**2 - 2*d. Let h be f(3). Suppose -2*a - o + 7 = -1, -a - 3*o = 6. Let s(y) = 6*y + y**3 - 2 + y**2 - a*y**2 - y. Calculate s(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -6*h + 5*h. Let d(g) = g**2 - 24*g - 4. Let v(t) = 6*t + 1. Let i(n) = 2*d(n) + 9*v(n). Let q be i(-4). Solve 2*x + q = y, -3*x - 7 = -y + h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -846393 plus 35356235?\nAnswer: 34509842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n - 4. Let b be m(2). Suppose 377 = b*s + 2*k - 549, 0 = 4*s + 4*k - 924. What are the prime factors of s?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -95a3725b + -5?\nAnswer: -95a37264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 32, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 14*d**7\/15 - d**4\/12 + 147*d**3 - 85*d**2 - 10*d. Differentiate r(z) wrt z.\nAnswer: 784*z**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(99) + 3*sqrt(99))\/sqrt(9)*-5*-5*-2 + 1.\nAnswer: 1 + 1200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2 + 12*z - 2. Give f(9).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - t**2 - 2. Let v(c) = 2*c**3 - 5*c**2 - 3. Determine -j(n) + v(n).\nAnswer: 3*n**3 - 4*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8210667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -117940 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(2\/((-4)\/(-1))). Calculate the greatest common divisor of 6 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1303, 2779, 4251, 5719, 7183, 8643?\n\"Answer: -2*o**2 + 1482*o - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 72*y**2 - 12*y. Let c(r) = -240*r**2 - 16*r - 13. Let b(f) = -113*f**2 - 7*f - 6. Let n(j) = 13*b(j) - 6*c(j). Determine 12*n(m) + 5*w(m).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2572*w**2 + 25*w + 46. What are the prime factors of b(5)?\nAnswer: 11, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37180920?\nAnswer: 2, 3, 5, 7, 44263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 13*i**2 - i + 2. Let q be z(2). Let w = -19 + q. What is the smallest common multiple of w and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i - 6. Let f be m(-4). Suppose -5*k + 3*k + f = u, 0 = -2*u - k. Let s be (20\/15)\/(u\/(-15)). Solve x - s = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*y**2 + 213*y**2 + 36*y - 7*y.\nAnswer: 2*y**2 + 29*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h + 5. Let r(f) = 11*f + 14. Let p = 3492 - 3500. What is p*u(t) + 3*r(t)?\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001219844086 rounded to six decimal places?\nAnswer: 0.000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 253 a factor of 4091651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10920 - -58069. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5515 = -x + 3*x, 4*o + 8281 = 3*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1931 - -1925. Let p = -4 - -3.7. Let t = p - -1.3. Which is the third smallest value? (a) g (b) -0.5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 1388361408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 11*s**2. Let x(i) = 757307*i**2. Calculate x(a(f)).\nAnswer: 91634147*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*2*sqrt(77))\/(1*sqrt(1584)) - ((sqrt(7) - (sqrt(7) - sqrt(63)\/(sqrt(81)\/sqrt(9))))**2 + -5 + 3*sqrt(7))) + 5.\nAnswer: -5*sqrt(7)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x**2 + 86*x + 39. Let m be d(22). What is the closest to 0 in 2, 13, -2\/17, m?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -66 (b) -2 (c) 616\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (66\/132*(-6)\/(-3))\/2*58\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 4 - 2. Let q be r\/(-1) - (-4)\/1. Solve -x - 3*x**4 - 3*x**2 + 0*x**4 + q*x**4 - 3*x**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -85, -142, -215, -310?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-335 + 0)*3\/(-1). Suppose -3*g = -n - 1087, n = 4*g - 445 - v. Let p = -187 + g. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 0.541724?\nAnswer: 0.541724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/2 + 33685*k\/2 - 269608.\nAnswer: (k - 16)*(k + 33701)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x**3 - 4*x**3 - 3*x + 7*x**2 - 7 + 14. Let r(y) = y**3 + 97*y**2 + 545*y - 86. Let n be r(-91). What are the prime factors of l(n)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 + 20\/5 + 67?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 3*p - 5*b, -4*p + 2*b - 1 = -7*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101010110010010 - 11?\nAnswer: -110101010110010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005 times 637015?\nAnswer: -3185.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108423 = 1227*q - 29001 for q.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 4. Suppose -3*z + 2 = -2*z. Suppose z = u - 2*k + 5, -34 = -2*u - 4*k. Solve 14 = -m - 3*j - 5, -3*j - u = -v*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/2 of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -5*w + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3*((-528)\/(-392))\/(-3*12\/63) and 24\/23?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16320)\/816*35\/28.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26767322 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 336\/(-120)*(-250)\/35 - 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 1, 3219497, 0 in increasing order.\nAnswer: 0, 1, 3, 5, 3219497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15072857 is divided by 69?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.2, -1.4, -110 in decreasing order.\nAnswer: -1.4, -2.2, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v - 4*v + 7*v - 3*v + 4.\nAnswer: 5*v + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 - 17*l + 17. Let f be k(-9). Suppose -w + 5*j = w - 22, -4*j - f = 0. What is the highest common divisor of w and 90?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - 2*g + 2*g)*(5*g - 4 + 4) - 2 + g**3 + 2 - 2*g**3 + 1 - 1 + (3*g - 3*g - 2*g)*(4*g**2 - g**2 - 2*g**2).\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34 and 95\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 - 2*l - 3. Let f be z(4). Suppose -f + 5 = -2*s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166083.\nAnswer: 3, 23, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-2)\/a)**(-12))**(2\/35) assuming a is positive.\nAnswer: a**(48\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -16\/13*v + 2\/13*v**4 + 30\/13*v**2 + 16\/13*v**3 - 32\/13 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/9 + 68\/306.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 387 and 81012.\nAnswer: 243036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1957179.51 seconds in days?\nAnswer: 22.652540625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2273 - 2272) + 37*-1.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 10*h**2 - 187*h - 24. Let s(z) = -3*z**2 + 62*z + 9. Determine -8*s(k) - 3*x(k).\nAnswer: -6*k**2 + 65*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117582?\nAnswer: 2, 3, 19597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 - 22 + 5*m + 33 - 5*m.\nAnswer: m**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 - 57 - 596*o**2 - 248*o + 599*o**2.\nAnswer: 3*o**2 - 248*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 206, 209, 212, 215, 218, 221?\nAnswer: 224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 11546*b**3 - 12432*b**2. Let u(m) = -11547*m**3 + 12441*m**2. Let y(x) = 3*l(x) + 2*u(x). Find the third derivative of y(v) wrt v.\nAnswer: 69264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 15*w**4\/2 - 426417*w**3 + 6061389720*w**2 - 9697387791*w + 7272848961\/2 = 0?\nAnswer: 3\/5, 1, 28427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5404, 6463, 7520, 8575, 9628, 10679?\nAnswer: 11728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 75405386 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 138765 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4220 - -222430423?\nAnswer: 222440143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, -11, 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + -4 + -4 - -4. Let i(q) = 14*q**3 - 2*q + 2. Let p be i(c). Suppose -r = 5*t - p, -2*t - 2*r + 2 = -2. Solve -t*a = -6 - 3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 201 = -189. Calculate the remainder when 9 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238*z - 64*z**3 - 5*z**3 + 1235*z - 997*z.\nAnswer: -69*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -7*p - 26. Let r be v(-4). Find y such that 7 + 24*y - 4*y**r + 33*y - 84*y = 0.\nAnswer: -7, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 89 + -85. Suppose 40 = g + 5*x, -k*g + 5*x + 17 = -43. Suppose -3*r - 2*r - 25 = -2*w, 0 = -4*r + g. Calculate the remainder when 74 is divided by w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-6)*2*6\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c + 2*c**3 + 2*c - 4*c**3 + 2 - 2 - 40*c + 40*c + 47*c**3 + (c - c - 2*c**2)*(3 - 3 + 3*c) in the form o*c + j + w*c**3 + t*c**2 and give w.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 480 - 453. Suppose 4*s + 4 = -4, 0 = -2*c + 5*s + 40. Calculate the remainder when f is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -959*s**2 - 91*s + 91. Let g(m) = 64*m**2 + 6*m - 6. Determine -91*g(a) - 6*u(a).\nAnswer: -70*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, t: 5}. What is prob of sequence rr?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 75807398 and -0.1?\nAnswer: 75807398.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h = -9*h + 135. Suppose -11 = -3*d + h*v, -d - v = v. Solve -m - 4*w + 14 = 0, -3*m = -d*w - 3*w + 9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 511 - 512. Let b(k) = -3*k + 1. Give b(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7389 rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*j + 5 = 0, 3*c = -3*j + 1 - 4. Solve 2*i + 5*q + c = 0, -4*i - 4*q = q + 11 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -97 in 6, -5, -2\/13, -1\/10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i + 10. Let t(f) = -9*f - 19. Let g(r) = 7*o(r) + 3*t(r). Suppose 22 - 49 = 3*m. What is the smallest common multiple of g(m) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1125 in 0.4, -1076, -4\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 g when three letters picked without replacement from {g: 7, b: 3}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*7\/((-14)\/(-4)). Suppose 3*l = k + 172, v*l = 3*l - 2*k + 294. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s*v**4 + 1572560*s*v**3 - s - 27157584 with respect to v.\nAnswer: 4*s*v**3 + 4717680*s*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w - 1 = -109 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15244028159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1055 by 26.\nAnswer: 1055\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 312669909 and 1539.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 10:38 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -36574565854+-0.5\nAnswer: -36574565854.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.02105 + 144.6\nAnswer: 144.57895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18731 - 37461 + 18730 + 202*z**3.\nAnswer: 202*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 31.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 421\/4 or -607?\nAnswer: 421\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1379*f + 0 - 1378*f - 2.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11010101111111011 (base 2) to base 13\nAnswer: 3ab3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -805*v + 1608*v - 24710 = 798*v. List the prime factors of v.\nAnswer: 2, 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28696.4 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -96.1622 + 0.4622. What is p rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 2:28 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13.33 - -13. Let c = 0.03 + j. Suppose -7*z = 491 - 470. What is the nearest to -0.2 in -0.2, z, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t**2 - 5*t + 5. Let f(i) = -4*i**2 - 6*i + 6. Let k(v) = -5*f(v) + 6*q(v). Let c(o) = -2 + 1 + 4 - 8*o - 5*o. Determine k(c(l)).\nAnswer: 338*l**2 - 156*l + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2884094?\nAnswer: 2, 1117, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**2 - 63*y + 1761. Calculate p(18).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/7)*m\/(m*m*m**(4\/3)*m)*(m*m\/(m*m**(-1)))\/((m**(-7\/4)\/m)\/m*m))**(3\/16))**(-6\/11) assuming m is positive.\nAnswer: m**(-39\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = -51*x - 7*x. Suppose x = -z - 4*f, -2*z + 3*f = -4*z + 9. Suppose 4*s - 104 = 184. Calculate the highest common factor of z and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1209084 and 1140?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, s: 11, b: 1, o: 1, i: 1}. What is prob of picking 1 s and 1 b?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-513)\/((-5)\/80*(-1 - 5)). Let m = 2147 + o. Suppose -517 = -9*a + m. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1111 + 1110.997523. What is i rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -749495 - -1198793. Suppose -1845702 = 9*i + f. What is i rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 168 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -7. Suppose -o - r = 0, c = -2*o + 4*r - 0*r + 18. Solve -2*u - o*u = 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/15 + (-48)\/(-15) + 2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/((-60)\/46) - 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x + 3*o + 9, 4*o + 11 = -1 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43*(-20)\/6020)\/((-12)\/14).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyzzyyyzyzz. What is prob of picking 4 z?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of ((-5)\/(-4))\/((-1745)\/(-17849256))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2952 (b) -0.1 (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f - 8231. Let j(p) = -3*p**2. Determine c(j(l)).\nAnswer: -6*l**2 - 8231","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w + 5. Let p be o(-5). Let j(q) = -q**2 - 15*q + 2. Let r be j(p). Let b be r\/3*(-9)\/(-2). Solve 0*k = b*k + 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56251 is divided by 987.\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2)**(2\/129)\/(a**1)**5*((a**(-4)\/a)\/(a\/((a**(1\/16)\/a*a)\/a*a)))**(31\/3) assuming a is positive.\nAnswer: a**(-136891\/2064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 59767993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*g + 277*g = 5518. Solve 4*s - 22 = 2*z, 41*z = 2*s + 36*z - g for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*s**2 + 4 + 3*s**2 - 6*s**2 - s**2 wrt s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 24*r**2\/5 + 33*r\/5 + 9\/5 = 0.\nAnswer: -1, -3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-34)*s)\/s)\/s**(-2\/9) assuming s is positive.\nAnswer: s**(-304\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9013841 is divided by 64?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of c**8\/5040 - 17*c**7\/1260 + 7*c**5\/60 - c**4\/4 - c**2 - 2*c. Let r(q) be the third derivative of z(q). Factor r(o).\nAnswer: 4*o*(o - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -15. Suppose 5*i - 14 - p = 0. What is the first derivative of -2*g**4 - i + 7 + g**4 wrt g?\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 5, -2*h = -3*j - 5*h + 123. Suppose -7*p = -2*p - 2*x - 80, -5*p - 2*x = -60. Calculate the remainder when j is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/384 and 5\/12.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z + z + 3*z)*(275 - 10*z - 163 + 360 + 70) as d*z**2 + n + q*z and give d.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v**8\/10080 + v**6\/180 + v**5\/60 - 4*v**2. Let i(k) be the third derivative of g(k). What is the derivative of i(f) wrt f?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllllldllll. Give prob of sequence ldl.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3381*m - 3400 = 3281*m for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y + 113 = 2*t - 16*y, 2*y + 6 = 0. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1250872 is divided by 2153.\nAnswer: 2132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(6\/11)\/(c\/(c\/c**(-7\/4))) assuming c is positive.\nAnswer: c**(101\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 + 56. Suppose u = -11*s + 10*s. Solve s = -d - 4 - 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 r when two letters picked without replacement from {r: 4, b: 2, p: 1, z: 1}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/540 and 65\/2.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - (-26 - -38) - 26.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3163178880 and 5760?\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 5*h + 2. Let m = -4 - -2. Let f be d(m). Let j = f + 17. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5152 and 1469792?\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -13. Let c(r) = r**2 + 5*r + 5. Let j be c(y). Is (-145)\/j*(-4 + 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 + 2*h - 2. Let z(r) = 3*r**2 - 2*r + 1. Let o be z(1). Let j be s(o). Let w = -29 - -44. Calculate the greatest common divisor of w and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 13 = r - 42, -22 = -3*r - 2*p. Suppose -r*n = o - 93, -2*o + 23 + 2 = n. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.078 times -0.2?\nAnswer: -7.8156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.22 + -0.62. Which is the second biggest value? (a) 0 (b) -12 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*d - 60. Let b be -2*2 + 17 + d. Let f(x) = x**2 - 4*x + 3. Let l be f(4). Which is smaller: b or l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13892*r**2 + 6828 wrt r.\nAnswer: -27784*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + y = -0*y + 49, -5*y + 24 = -3*v. Let g = v + 14. Let r(h) = 2*h - 2. Let d be r(2). Is d >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j**2 - 2*j. Let v(a) be the second derivative of 0*a**2 - 51*a + 4\/3*a**4 + 0 + 3\/2*a**3. What is 9*l(x) + 2*v(x)?\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/13*247*80\/(-3040)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/5*10\/(-4). Let f(r) = -r**3 + 8*r**2 - 7*r - 1. What is the units digit of f(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -1\/11, -0.07, -625?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-41)\/(-13))\/1 - (-10)\/(-65). Let p(z) = -132*z + 132*z - i*z**2 + 2*z**2. Let a(q) = 8*q**2. Determine a(p(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -512194596*i**2*o**2 - 17*i*o**2 + i*o + 5*i - 2556*o**2 + 5*o + 1 wrt i.\nAnswer: -1024389192*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-54)*((-54)\/4)\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1686731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.95778 + 2.04.\nAnswer: 7.99778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395860 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 725, 1457, 2189, 2921, 3653?\n\"Answer: 732*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g**(-1\/10)*g))*g*g*g*g)\/(g\/g**4)*(g\/g**(2\/5)*g*g)**(4\/5) assuming g is positive.\nAnswer: g**(499\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-390)\/(-34) + 0\/2. Let o = 325\/68 + y. Let q = -2948 - -53029\/18. Calculate the common denominator of o and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8463*w**6 - 487*w**2 + w wrt w?\nAnswer: -1015560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 921 divide 274054602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2054750.\nAnswer: 2, 5, 8219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 4:02 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 5*r - 19, 4*z + 0 = -4*r - 32 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**9*g)*g*g)**(-1)*(g\/g**3)\/(g**(2\/51)\/g) assuming g is positive.\nAnswer: g**(355\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 871180 is divided by 5065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100992 and 5082?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -169 - -75. Let f = 103.2 + j. Let n = f + -8.2. Which is bigger: n or -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -532 by 7.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 + 1)*(11*w**2 - 74*w + 74*w) + w**2 + 4*w**2 + 0*w**2.\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -x + 36, 3392*x - 3218*x - 7318 = -5*r for x.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**3*y*y**(-3\/2)*y*y**(3\/7)*y**(-1\/2)*(y\/y**(1\/4))**(-2\/19)*(y*y**1)**(-8) assuming y is positive.\nAnswer: y**(-3365\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16474 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: List the prime factors of 3127772314.\nAnswer: 2, 1563886157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2686211 and 976804.\nAnswer: 10744844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/1505 or 707\/9?\nAnswer: 707\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4254*s**2 - 11524*s**2 - 7319*s**2 to the form j + h*s**2 + b*s and give h.\nAnswer: -23097","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -479\/45 + 51\/5. Let r = -26 - -51. Suppose 2*c - t - 5 = -0*t, r = 2*c - 5*t. Which is smaller: c or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 y when three letters picked without replacement from {p: 1, r: 9, y: 4}?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13063706?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -o - 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-25))\/(-2)*(-1730)\/(-1038)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -434991, -869962, -1304905, -1739808, -2174659?\n\"Answer: 2*o**3 + 2*o**2 - 434991*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3720412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.7 + 0.9. Let c = -0.2 - j. Let n = 0.5997 - c. Round n to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14273 and -0.7.\nAnswer: 9991.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (-2 - (3 + -15)). Suppose -3*q = -3*i + 5*i + 1, i - 5*q - 19 = 0. Suppose p + i = 3*o - 3*c, -22 = -4*o + 2*c. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-348)\/(-26)*(41 - 28). What is the highest common factor of a and 35148?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2634 + -2635.2155. Round q to one decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (40\/(-15))\/(50\/(-15))*55 is divided by 36.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3261676 years in decades?\nAnswer: 0.03261676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.25349cm to meters.\nAnswer: 0.0525349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 373627, 374033, 374717, 375685, 376943, 378497, 380353?\n\"Answer: s**3 + 133*s**2 + 373493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 65680 and -286.4.\nAnswer: 65393.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -33.6*-0.3\nAnswer: 10.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**2\/5 - 81033224*v\/5 + 820797923979272\/5 = 0.\nAnswer: 20258306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (212\/(-1749)*-11)\/(36\/729)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 391731 by 3.\nAnswer: 130577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 15 = -2*a - 3*a, 0 = -k - 5*a - 5. Suppose -3*r = 5*i - 37, 10 = 3*r + 4*i - 22. Calculate the highest common factor of k and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35*5251\nAnswer: 183785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a microsecond in nanoseconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 2*n**2 + 5*n**2. Let c(p) = -36*p + 0 + 35*p + 0. Calculate g(c(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 146339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -687 divided by -7?\nAnswer: 687\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 41719040 divided by -2607440\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -109 - (25 + -39 + 94 + -38)?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y**2 - 3*y + 5. Let g(b) = -7*b**2 - 6*b + 9. Let j(z) = -5*c(z) + 3*g(z). Let t be j(-3). Let h(n) = 7*n - 1. Is h(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n - 6. Let l(m) = -m**2 - 5*m + 2. Let r be l(-4). Let y be k(r). Suppose 4*x + 50 = q - y*x, 0 = -x - 5. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 907, 6814, 22851, 54082, 105571?\nAnswer: 182382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-883 + 1748 + 2*u - 401)*(-2*u - 2 + 3*u + 0) in the form y*u + j + c*u**2 and give j.\nAnswer: -928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -2*i + 16. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344267 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 776 + -775.9. Which is smaller: 51 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -1 - ((-64)\/3 - (-6)\/18) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/1*4\/(-16). Let b = -3 - -1. Let n be s\/b + 22\/4. Solve 5*k + 6 = -2*a + 6*a, 0 = n*k + 2*a - 18 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2845*r + 14 + 2807*r - 5611*r - 3. Let z(j) = 8*j + 2. Suppose 0*d - 3*n - 48 = 3*d, 2*n - 45 = 5*d. Give d*z(c) + 2*m(c).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 131409 = 3*d, 314*w - 197136 = 311*w - 2*d. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 23*q + 158. Let w be d(-4). What is the greatest common divisor of 231 and w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(896) - -1*sqrt(896)) + sqrt(14))\/sqrt(162).\nAnswer: 17*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1243, -4, -10647, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*q**3 + 47*q**3 - 28*q**3)*(59 + 167 - 79).\nAnswer: 10731*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g + 5. Let w(t) be the first derivative of -11*t**2\/2 - 10*t + 21. Let n(x) = -x**2 + 16*x - 55. Let y be n(8). What is y*a(d) + 4*w(d)?\nAnswer: d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 48 = 20. Is u > -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24874 to the nearest one thousand.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)\/sqrt(4)*-3 + sqrt(28))\/(sqrt(144) + 1*sqrt(144)) + (2*sqrt(35)\/sqrt(5) + sqrt(7) - (-3 + sqrt(7) + 1)))**2.\nAnswer: 22*sqrt(7)\/3 + 991\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(625)*1 + -1*sqrt(625)*2 + sqrt(625) + sqrt(625))\/((sqrt(110)\/(sqrt(10)\/sqrt(5)))\/(2*sqrt(275))))**2.\nAnswer: 112500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11398890?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*(7\/105*5)\/3. Which is the second smallest value? (a) -2 (b) s (c) 85 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 19 = 5*j, -13*q + 18*q - 3*j - 27 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**2 + 5*j**2 - 9*j**4 + (0 + 0 + j**3)*(3*j - 2*j + 0*j) + (2*j - 2*j + 2*j)*(-j - 3*j + 5*j)*(-5*j**2 + j - j).\nAnswer: -18*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -111 times -4\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 53356871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -383*i + 1579. Calculate r(4).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 65*k**8\/672 + 73*k**7\/210 + 7*k**6\/60 - k**5\/15 + 22*k**2. Solve j(n) = 0.\nAnswer: -2, -2\/5, 0, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-228)\/(-18) + 1\/3. Suppose 851*a - 1697 = 75744. Calculate the greatest common factor of u and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - -11 - (1 - -3). Suppose 3*l + h*o + 1100 = -2*l, 3*o - 1100 = 5*l. What are the prime factors of (-6)\/27 + l\/(-18)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1227*m = -1216*m - 44. Let q be -1 - 0 - (-6 - -5). Sort q, -5, m in descending order.\nAnswer: m, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10797 + 10797 + u + u**2 - u.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*a - 20*a - 15*a + 10*a.\nAnswer: -43*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiijijjjiiij. What is prob of picking 3 j?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 184467389867 plus -4?\nAnswer: 184467389863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 2 + 8. Suppose -y + 2*y = c. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1373\/12 - 106. Find the common denominator of (53\/(-2))\/(1*-3) and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13990?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.1, -6123, 1 in decreasing order.\nAnswer: 1, 0.1, -2, -6123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*g = -191*g - 3, -5*v = 4*g + 22 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 2\/7, -25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/4463364 and -76\/28347?\nAnswer: 49097004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160.96*-3.\nAnswer: -482.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1216 is divided by 438?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59 + 170*n + 59 + 106*n.\nAnswer: 276*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n = 18*n - 492738 + 638. Is n a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - z + 299 = 0, -2*z - 448 = -3*l - 4*z. What is the greatest common factor of l and 870?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1008 divided by -87081?\nAnswer: 336\/29027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 - (-4 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1\/3, 1.7, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -92441 and -1.3?\nAnswer: 120173.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2328966.41 minus -30182?\nAnswer: 2359148.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8b + -2326?\nAnswer: -23b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/38680 and 47\/5340?\nAnswer: 10327560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 + 55283?\nAnswer: 55275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23538789 to the nearest integer?\nAnswer: 4852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hyrhy. Give prob of sequence hy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0) + (0 - -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vb when two letters picked without replacement from {p: 6, u: 1, v: 2, b: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x = -21*x + 8. What is the units digit of (8 + x)*(-153)\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1484711946 and 1.\nAnswer: 1484711947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 1 - 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -220738.579 - -221088. Let q = y + -779.979. Let u = q + 431. What is u rounded to two decimal places?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*s**4 + 10*s**2 - 187 with respect to s.\nAnswer: -8*s**3 + 20*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 25*x**2 - 53*x - 22. Let a be z(27). Solve -h + 1 = -2*t - 0, -a*h = t - 16 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5593c6 (base 13) in base 8?\nAnswer: 7550600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 204*k - 996 - 1705 - 1379 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4884)\/(-555) - 9)\/(10\/(-725))?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7.51, 10, -141, -3, 3\/7, 0.\nAnswer: -141, -3, 0, 3\/7, 7.51, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 85 (b) 2 (c) 3 (d) -0.2964\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/15 and -37\/100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1637 + -1544. Solve 3*h - 102 = -a for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/1103074 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -232 < -883427\/3824?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -305\/28 + 661\/70. Let j = -1\/3 + 7\/6. What is the common denominator of a and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/12? (a) 1 (b) -1185 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 606 and -0.4?\nAnswer: -242.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 133283, 266565, 399847, 533129, 666411?\nAnswer: 799693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j - 2. Let d be r(2). Suppose -4*b + 25 = 2*t + t, 4*b = 4*t + 4. Let y(c) = t*c + d*c + 6*c + c. Let l(k) = k. Determine l(y(f)).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00030211465 rounded to 7 dps?\nAnswer: 0.0003021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 3*p - 93, -3*p - 5*n + 0*n = -105. Calculate the smallest common multiple of p and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 11 = -4*y - 4, -2*o + 10 = 4*y. Let d(n) be the first derivative of 3\/2*n**2 + 0*n + y + 2\/3*n**3. What is the second derivative of d(l) wrt l?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 38 = -2*u, -4*g - 4*u + 89 = u. Suppose -5*s + s + g = 0. Solve 0 = q - 4*q - s*r + 1, -5*q = -3*r - 21 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/6*-4 + -2. Suppose 0 = -2*o - 3*z + 75, z = 5*o - j*z - 196. What is the smallest common multiple of 9 and o?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1580293263 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 1 = -7. Suppose x - 2*x + 5 = u, 40*u = 41*u. Solve 3 = n*o + 5*l + 2, -l = 2*o - x for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/(-1) + (3903 - 153) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c = 5*c - 700. Suppose 5*g - 36 = -11. Solve -5*x + c = -4*l, g*l = 3*x - 13 - 21 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87 (base 10) to base 4\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7*(9 + -11) - -16. Which is the second biggest value? (a) 0.1 (b) 4 (c) -31 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7321943 to the power of 1\/3, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 39\/2770, 0.3, -17, -20?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3ee6ec (base 15) in base 13?\nAnswer: -823992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a - 1. Let r = -34 - -35. Let l(g) = g. Let q(c) = -7*c. Let x(d) = 6*l(d) + q(d). Give r*p(m) + 6*x(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of -m**4\/12 - 11*m**3\/6 - 3*m**2. Let f be p(-8). Suppose 8 = -f*j + 9*j. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, t: 2, w: 2, m: 2, b: 1}. What is prob of picking 1 w, 1 b, and 1 m?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618 is divided by 195.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/((r**2*r)\/r*r)*r*r)**(5\/3)*(r\/((r\/r**3)\/r))**(-34))**(-47))**(-22) assuming r is positive.\nAnswer: r**(-416702\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-1\/7))**(-7)\/(r**(1\/5))**28 assuming r is positive.\nAnswer: r**(-68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m + 106. What is c(-25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 697597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-3)*-3 - 2. Which is smaller: r or -1\/54?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50634 is divided by 16873.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4*u**4 + u**3 + 4*u**2 - u = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 36 = -6*d. What is the units digit of 155\/9 - 2\/d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*a + 125. Solve 0 = 5*t - 0*t + a for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -223 + 1131?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*w - 2 + (5 - 1 - 2)*(-1 + 1 - w) - 176 + 176 + 74*w)*(-w + 2*w - 3*w) to the form g + l*w**2 + n*w and give l.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*i + 76 = 140 + 470 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -14. Let m(s) = -s - 8 + 19*s + l*s. Let g(p) = -13*p + 5. Determine 8*g(t) + 5*m(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 2*j, -2*a - 2*j = -6*j. Suppose 11*s + 42 = 9. Let v(h) = -h**3 - 3*h**2 + h - 6. Let t be v(s). Put a, t, -1 in descending order.\nAnswer: a, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, e: 4, p: 2}. Give prob of sequence epke.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -340505087450 from 0.035.\nAnswer: 340505087450.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/526973 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 797317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 945 and 693.\nAnswer: 10395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 85\/15 - 4\/6. Suppose u*x - 5*h - 30 = 0, -3*h = -2*x + x + 16. Suppose 0 = 3*k - 7*k. Sort x, k, -2 in decreasing order.\nAnswer: x, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.5 + 7. What is the third biggest value in 4, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235576.\nAnswer: 2, 11, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002895 to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3787005143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 12, -3, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4263440 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.121 and 5.105498?\nAnswer: 4.984498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {v: 1, u: 1, g: 1, s: 1, t: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3914, 3921, 3942, 3983, 4050?\nAnswer: 4149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3)*-1 + 4 + sqrt(3))**2 + sqrt(3) - sqrt(3)) + 5.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.13 from -3.176081.\nAnswer: -3.306081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-18 + 5 - -4 - 6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -p**6\/6 - 986*p**5\/5 - p**4\/4 - 6287*p**3\/3 - 3992. What is the third derivative of c(z) wrt z?\nAnswer: -60*z**2 - 23664*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2*q + 0)*(3 - 2 + 2)*(227 - 254 - 705)*(1 - 2*q - q + q) to z*q**2 + v + a*q and give z.\nAnswer: -8784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -x - 0. Suppose -x*s + 9*s = -20. Let y = 6 + s. Solve y = -0*i + i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1746143 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 5 (c) 1\/6 (d) 1.5 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*d)*(3 + 1 - 3)*(15*d - 18*d - 6*d).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13992 and 98020.\nAnswer: 342873960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 14*y**2 + y + 17. Let t be m(-14). Suppose t = 4*l + 39. What is the units digit of (2\/6)\/(l\/(-1161))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4 = 2*j. Let h be (-2)\/j - (-3)\/24. Let d = 0.117 + -0.017. What is the nearest to 1\/3 in h, 0.2, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*y - 3668 = 5752. Let u = y - 112. What are the prime factors of u?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = m - 4*m. Let g(w) = w + 3*w + 0*w - m*w. Let v(p) = -11*p. Calculate v(g(s)).\nAnswer: -22*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1234222 + 52513?\nAnswer: -1141305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 126\/(-12) - (10 - 19)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (1 + -1 - 2) + -9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -562 - 9526401?\nAnswer: -9526963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*f + 10 = 56*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 4*d - 368 + 346, -7*g - 4*d = 27 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5556982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*j - 2956 + 3517 = 0 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1935079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -9*b - y + 28, b = 2*y + 7 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 168855320 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 61058981 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppincrrvrcnp. What is prob of picking 1 i, 2 p, and 1 v?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i*i\/i**(1\/5)*i)\/i)*i)**(-2\/107))**(-34)*(((i*(i\/i**0)\/i)\/i)**(4\/9))**(2\/107) assuming i is positive.\nAnswer: i**(68\/535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/2916 and -179\/328050.\nAnswer: 656100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238486647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1430777 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1860 and 2015.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002761102 to five decimal places.\nAnswer: 0.00276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -199 (b) 2\/13 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 569038*b**2 + 569033*b**2 - 1.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -148? (a) -4\/5 (b) 0.4 (c) 6.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.13\nAnswer: 0.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, 0, 27 in decreasing order.\nAnswer: 27, 7, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 650267.1 millimeters in kilometers?\nAnswer: 0.6502671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 y when two letters picked without replacement from {p: 4, s: 1, y: 2, r: 1, i: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, f: 1, m: 5}. Give prob of sequence mzmz.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (570\/(-10) + -3)\/(-2). Suppose 3*d = 36 + 21. Let s = d + g. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.2 + 0.2. Let m = -4 + s. Let k = m + 6. What is the nearest to k in 4, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*3*-6)\/(sqrt(9) - sqrt(81)\/sqrt(9)*5).\nAnswer: 9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 4, 6\/17561, 3, 0.2 in descending order.\nAnswer: 4, 3, 1\/3, 0.2, 6\/17561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 564 = -145*j, -3*j - 32 + 16 = -v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 + -106. Let t = -95\/2 - y. Which is the closest to 0.2? (a) t (b) 0 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -269 in 0, 4, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.3 - -0.8. Let d = -0.5 - h. Let f = d + -1.2. Which is greater: f or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-4\/7)*u**(-3\/5))\/u**(8\/13)*(u*u\/((u\/u**3*u)\/u)*u*u**3)\/u**(-27) assuming u is positive.\nAnswer: u**(16087\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z + z - 2*z - 3*z + 3*z + 1625 - 3256 + 1632.\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -4)\/((-7)\/(-14)). What is the first derivative of -5110 - o*c + 59*c**2 + 2*c + 4998 wrt c?\nAnswer: 118*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/77)\/(-5*(-12)\/(-5500))\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s - 9. List the prime factors of j(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -259.000307 - -259. Round b to five dps.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11536121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - p + 5 = 3*b, 3*b - 2*p - 16 = 0. Let s(d) = -2*d**2 - b*d - d**3 + 3 + 9*d + 10*d**2 + d. Is s(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 + -39. Put o, -7, 1, 5 in descending order.\nAnswer: 5, o, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -54.7 - -56.7. What is the fourth biggest value in 5, q, 1.32, 0, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 5. Let c(z) = z**3 - 8*z**2 + 11*z + 8. Let l be c(6). Let m(p) = -5*p**3 + 7*p**3 + l*p - 4*p. Let o(q) = 2*q**3 - 2*q. Determine h*o(x) + 2*m(x).\nAnswer: -2*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*d - 37*d**3 + 8*d**3 + 64 + 19*d**3 + 15*d**3.\nAnswer: 5*d**3 - 33*d + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*p - p + 1551. Let a = p + 145. Suppose -16*x + a*x + 408 = 0. What is the highest common divisor of x and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(2*(-2)\/40). Let k be 5\/z*3\/(-4). What is the biggest value in k, -1, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 336, -385 in increasing order.\nAnswer: -385, -1, 1, 336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 9*i - 5*k = -40, k + 22 = 5*i. Let q(l) be the third derivative of 1\/8*l**4 + 1\/30*l**i - 2\/3*l**3 + 0*l - 1\/120*l**6 + 0 + 17*l**2. What is q(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**6\/60 - 177*h**5\/20 + 64*h**3\/3 - h**2 + 209. What is the first derivative of m(y) wrt y?\nAnswer: 6*y**2 - 1062*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 3*l - 24, -3*h - 5*l = 6 - 22. Let q(k) = 11*k**3 - 7*k**2 - 2*k. Let i(c) = -6*c**3 + 3*c**2 + c. Give h*i(v) + 3*q(v).\nAnswer: -9*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 0*i + 1\/20*i**5 + 0 + 1\/24*i**4 - 4*i**2 + 1\/3*i**3. What are the prime factors of k(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -8*m + 3*m. Is 12 a factor of ((-1)\/m)\/(10\/(-460))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5089.\nAnswer: 7, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r - 88 = -184 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -237*x + 3185 - 1052 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 26, 0.4, 0.259, 34\/5?\nAnswer: 0.259","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**4 - 2072*f**3 + 264148*f**2 + 1081584*f + 1089936 = 0. What is f?\nAnswer: -2, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) - 1*sqrt(486)) + (sqrt(6) - sqrt(294)*-2))\/((sqrt(21) + sqrt(147)\/(sqrt(7)*1))\/sqrt(7)).\nAnswer: 7*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10e - -d?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/2, 1\/3, 101 in ascending order.\nAnswer: -3, 1\/3, 1\/2, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.2813 - 1.7187. What is the closest to h in 3, -98, 4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100102 (base 3) to base 6\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 1361*z + 14 + 13 - 33 in the form x*z + p and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48331057*y**5 + 59430873*y**2 wrt y.\nAnswer: -2899863420*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 9 + (3 - 11)\/(-4). Let g be ((-22)\/4)\/(1\/(-26)). Let i = g - 132. Which is bigger: f or i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/3 + 3984*y**2 + 3438815*y\/3.\nAnswer: y*(y + 295)*(y + 11657)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -25*m - 87. Calculate x(-8).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*((-4*(sqrt(204)*-5 - sqrt(204)))\/sqrt(12)*5 + 3 + -3))**2.\nAnswer: 489600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**4\/13 - 9596*l**3\/13 - 11691282*l**2\/13 - 433931120*l\/13 - 4089696800\/13 = 0.\nAnswer: -2380, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 + 253 = 6*l. Let w = l - 68. Solve 4*f = q + 15, w*f - 5*f + 15 = -5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 759\/1840 + ((-17)\/5 - -3). Let n(k) be the third derivative of 0*k - 9\/4*k**3 - 3\/16*k**4 + 0 - 8*k**2 + 1\/8*k**5 - m*k**6. Factor n(r).\nAnswer: -3*(r - 3)**2*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -2. Let p be -11 + (0 - -2)*1. Let z = p + 12. Calculate the remainder when z is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-4)*4\/(-3). Let g be (-12)\/(-7)*21\/6. Let q be g\/72*(1 - -1). Which is the closest to r? (a) q (b) 3\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37.39 - -28.39. Which is the fourth biggest value? (a) n (b) -5 (c) -3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((25*(-10)\/350)\/(1\/(-2)))\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224 and 8651704?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0191887 to four decimal places.\nAnswer: 0.0192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide -3 - (-15 - (-3 + 1)\/(-1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33714, -136452, -307686, -547416, -855642, -1232364?\nAnswer: -1677582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 74068613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -84 greater than -84?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8974, 8781, 8590, 8401, 8214, 8029, 7846?\n\"Answer: a**2 - 196*a + 9169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f + 356 = 78*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d - 30 + 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*(401*l - 246*l + 332*l)*(0*l**2 + l**2 + l**2).\nAnswer: -1948*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g + 62 = -88 - 2 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -u**4\/14 - 16*u**3\/21 - 20*u**2\/7 - 32*u\/7 - 302. Factor j(s).\nAnswer: -2*(s + 2)**2*(s + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eencnetntn. What is prob of picking 2 n and 1 c?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 894333421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*h + b, -2*h - 4 = -b + 4*b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 35*k + 11. Let c(j) = -j + 1. Let g(f) = -6*c(f) + z(f). Let r be g(4). Let b = r - 104. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 4)*(-21*v + 22*v + 14 + 14 - 2) in the form s*v + t and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**5 + 30*r**4 + 16*r**3 - 30*r**2 - 26*r + 6. Let h(u) = u**5 - u**4 + u**2 + u - 1. Let c(s) = 6*h(s) + n(s). Factor c(z).\nAnswer: 4*z*(z - 1)*(z + 1)**2*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 12:44 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*b + 75 = -40 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9}. What is prob of sequence fff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346*p = -379*p + 297 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 47258*t**3 + 5*t**2 + t - 1. Is f(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 16*w - 27. Let p be m(13). Suppose -12*k - p = -9*k. Let j = -88 - -86. What is the smallest value in 2, -0.5, k, j?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6740174974 to the power of 1\/2, to the nearest integer?\nAnswer: 82099","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f - 12. Does 14 divide j(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of q**4\/12 + q**3\/3 + 7*q. Let g(a) = a**3 - 9*a**2 - 7*a + 15. Let z be g(10). Let p = -47 + z. What is r(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.46 + -5.26. Let h = 0.047 - 0.447. What is the nearest to -0.4 in s, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -17d?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140791096, 281582192, 422373288, 563164384, 703955480, 844746576?\nAnswer: 985537672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 11\/9. Let k = 5495 - 5495.2. Let n be (-1)\/(-2)*8\/(-38). Which is the nearest to k? (a) -1\/6 (b) n (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6988?\nAnswer: 2, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 11:44 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 4\/7 (b) 0.1 (c) -0.2 (d) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ululluldulddllddd. What is prob of sequence lul?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/3828 and -73\/4176.\nAnswer: 45936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6220772 is divided by 40?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 596, 774, 930, 1052, 1128, 1146?\nAnswer: 1094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.3 + -7.52. Let b = c + 2.22. Let n = -0.105 - -0.005. Put -0.01, n, -4, b in increasing order.\nAnswer: -4, n, -0.01, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -50 and -0.04?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 351029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*s + 0*s + 6*s**2 - 53*s**3 + 32*s wrt s?\nAnswer: -318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8275105 is divided by 591075.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + -23b5ba9?\nAnswer: -23b5bab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-1100)*500 + 4*22\/(-8).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d + 12*d**2 + 31980577 - 31980577.\nAnswer: 12*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7625149206?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 4*t - 44, 2*t - 78 = -4*g - 10. What is the closest to 1 in g, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h. Let s = -1 + 4. Suppose 0 = -2*k - 4*x + 2*x, -15 = -k + 4*x. Let u(r) = -s*r**2 - 3 + k. Give u(l(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -6*t + 4. Put 5, 13, t in descending order.\nAnswer: 13, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 338 and 364533?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -146.39, 2\/7, -0.07?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 250320 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 38. Suppose 3*o + i = 22. Solve -o*c + 8*c + 20 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 20*j**2 + 2*j + 3. Let l be c(-2). Let q = -54 + l. Solve 7*w - q = 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15 + -14)*-115*5. Let f = 860 + g. Is f a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*a + 5*r - 0*r, 6 = 4*a + r. Suppose -a*w + 4 = -2*j - 0*w, 10 = 2*w. Let b(d) = d**3 - 2*d**2 + 2*d - 2. What is the tens digit of b(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5486946289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 395 divide 79639505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -15, -5, 5 in increasing order.\nAnswer: -40, -15, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 12. Let b = 34 + z. Let t = b - 21.00000066. Round t to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*o - 49*o - 46*o + 172*o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0*s + 5. Which is the second smallest value? (a) 1\/2 (b) -1 (c) 0.06 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/14 - (-18)\/14. Let c(t) = -t**2 - 2*t + 3. Let o be c(1). Let m = o - l. Which is greater: -2\/7 or m?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -1. Suppose k + 73 = 124*j - 126*j, -4*j = -k + 137. List the prime factors of (-4)\/w - (j\/5 + -63).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 - 33. Solve -6*w - 9 = -7*w - 2*g, 0 = k*w - g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -13*t + 5. Let o(b) = -90*b + 36. Let x(d) = -36*h(d) + 5*o(d). Let q(n) = 2*n**2. Calculate q(x(y)).\nAnswer: 648*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -24 + 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/6 - 9\/6. Find the common denominator of h*2 - 35\/18 and 39\/34.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*t**4 - 2*t**3 + 3*t**2 - t**2 + t + 69 + 15 - 85 to the form h + s*t**2 + q*t**4 + w*t**3 + v*t and give q.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3255 + -3124. What is the remainder when j is divided by 94?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17959, 36002, 54033, 72046, 90035, 107994, 125917, 143798?\n\"Answer: -i**3 + 18050*i - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-1 + sqrt(75) + -4 - sqrt(75)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 5:39 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -587 - -572. Let v(r) = -72*r - 229. Is v(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5209*q**2 + 2614*q**2 + 287*q**6 + 2603*q**2 + 16 wrt q?\nAnswer: 34440*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine halves of a microgram in nanograms?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s + 0 - 14 - 1. Let h be a(-10). Let v = 31 - h. Calculate the remainder when v is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8.201113km?\nAnswer: 820111.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 222.591978 minutes in weeks?\nAnswer: 0.0220825375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*o - o + 0*o + (-2 + 1 + 0)*(3*o + 4*o - 5*o) + (-3 + 2 - 4)*(-2 + 4*o + 2).\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b (base 12) to base 2.\nAnswer: -100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/((-5)\/30) + 0\/(-3). Solve k + 3 = t, -2*t + a = -0*k - 3*k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 592, 1191, 1792, 2395, 3000?\n\"Answer: y**2 + 596*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**4 - 6*g + 2. Let w(o) = 5*o**4 - 17*o + 6. Let x(d) = 6*w(d) - 17*z(d). What is the derivative of x(i) wrt i?\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110871 (base 10) in base 9?\nAnswer: -178070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9144618 a multiple of 478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*l + 14. Suppose 3*i + 2*z = -3*z, -2*i = -l*z - 25. Is 5\/(-2)*(-18)\/i a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39 and 1732?\nAnswer: 67548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l + 629. Let q(h) = h + 314. Determine 11*q(v) - 6*w(v).\nAnswer: -v - 320","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.4 + 8.44. Let b = g - 0.04. What is the nearest to -0.1 in -3\/4, -3\/5, b?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/36 + (-52)\/153. Let k = 19\/272 - 155\/272. Which is the closest to k? (a) 24 (b) l (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -20*h**3 - h**2 - h - 1. Is k(-1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.1 (c) 1\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) 3 (c) 0.4 (d) -972\/2737\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16485 and 4516785.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 216 = 57*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 2)*((-1 + 1 + 2)*(-2*m**4 - 3*m**4 + 3*m**4) - 3*m**3 + 3*m**3 - 2*m**4 + 44*m**4 - 15*m**4 - 22*m**4 + m**2 - m**2 + 5*m**4).\nAnswer: 24*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u - 7. Let i(b) = 3*b + 7. Let k(r) = 4*i(r) + 3*m(r). Determine k(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1570495324?\nAnswer: 2, 41, 3001, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 - 1.6. Let g = -1.55 - s. Let q = -5.95 + g. What is q rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 21*k**2 - 5*k - 11. What is y(-21)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 3*16\/(-24).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13556 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-490)\/(-40))\/(14\/8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 540408825?\nAnswer: 3, 5, 11, 97, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*a - 1781 = -3237 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 6 = -u. Let t(v) = -6*v**3 + 2*v**2 - 7*v - 4. List the prime factors of t(u).\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 6474?\nAnswer: 6475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2159084*f**3 - 2220589*f?\nAnswer: 12954504*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3 = -15. Let x(l) = l**3 - 12*l**2 + 4*l - 18. What is the least common multiple of s and x(12)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 43*x - 15 = 0, -3*y + 3*x - 5 = x - 0*x + 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-83)\/249)\/((-7)\/6).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 75586627*k**3*o**2 + k**2*o - 9734070*k**2 - 2*o**2 wrt k?\nAnswer: 453519762*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 11. Let x be f(11). Suppose -j = -3*h - 26, 4*h + x*h = -4*j + 88. Calculate the remainder when j is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 6*l**2 - 61*l - 33. Let p be w(11). Let g(a) = a**3 - 5*a**2 + 4*a. Let b be g(4). Solve b = -7*c - p + 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5113 (b) -0.3 (c) -4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 607224 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3203 + -421023?\nAnswer: -424231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**4*x**(-3\/2))\/(x**1*x*x)**(-4))\/((x**1\/(x*x\/(((x\/x**(-2\/7))\/x)\/x)))\/(x**(2\/5))**12) assuming x is positive.\nAnswer: x**(1471\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44dc (base 14) to base 6.\nAnswer: -131202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-2)\/(-8)*10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 313 + 266. Let l = t - 41. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9158 - -91491\/10. What is the common denominator of u and (-508)\/3*1\/(-8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 6*l**4 + 610*l**3 + 2756*l**2 + 3896*l + 1552 = 0.\nAnswer: -97, -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*f - 13 = -4*o, 2*o = 5*f - 4. Suppose 0 = -c + o*c. Let a = -70\/223 + 1291\/6244. Which is bigger: c or a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 19, -91, -1, 2 in descending order.\nAnswer: 19, 3, 2, 0, -1, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1500*y - 1417*y - 5561 for y.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-7) + 1)*210\/60. Suppose -5*j + c*r + 0*r = -23, j = 3*r + 15. Solve 25 = 3*b - 5*a, -b + 13 = -7*a + j*a for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 - i**3 + (i**3 - i**3 + 2*i**3)*(-23 + 25 - 42) - 5*i**3 - 17*i**2 + 17*i**2 as r + u*i**2 + g*i + a*i**3 and give a.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one tenth of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -3, -13 = 4*f + x + 4*x for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35536.\nAnswer: 2, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19338 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 5, 0.1, -123?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -169\/7, -0.41, -4, -0.5, 73, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12 or 0.6?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2068.\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-22))**(14\/3)\/((h*h**(-39))\/(h**31*h)) assuming h is positive.\nAnswer: h**(532\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 222\/8*16\/6. Suppose -5*s - 1099 = -4*l, -2*l + 2*s = -t - 478. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + m + 8. Let q(l) = -l - 4. Let n be q(-4). Let o be n*((-1)\/2 - -1). Let d be z(o). What is the greatest common factor of 64 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -356797, -713594, -1070391?\nAnswer: -1427188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 296 and 2331?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/90016 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -53*a**3 - 5*a**2 + 9*a + 38. What is the units digit of o(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 21*p - 5. Let d be f(4). Suppose 0 = -5*q + d + 91. Let g = 7 + q. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i**2 + 2*i - 3. Let n be g(2). Suppose 26 = 3*z - 4*l, 9*z - 4*z - 3*l = n. Let x = 5 + -3. Solve -x = -v - 3*q, z*v - 4*v = 5*q - 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 125420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/10)\/(2 + (3 - -1)). Let u(o) = -o**3 + 6*o**2 + 7*o + 4. Let l be u(6). Let h be l\/69 + -1 + (-8)\/(-6). Is j < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millennium in months?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 5, 5929069, 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 8*p + 24. Let x be j(-3). Solve 4*h - 4 = -x for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 2*n**2 - 7*n + 9. Suppose 5*g = 25 + 5. List the prime factors of s(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, 5, 2\/49, -23?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**4 - 1603194*h**3 - 214182710391*h**2 + 856750079988*h - 856756492812 = 0.\nAnswer: -267201, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + j + 18 + 2 + 10)*(20*j**2 - 14*j**2 - 88 + 85).\nAnswer: 6*j**3 + 144*j**2 - 3*j - 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d**2 + 8*d + 17. Let y(u) = -2*u**2 - u + 5. Let x be y(2). Let n be h(x). Let r = -46 - n. What are the prime factors of r?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20380 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 9*h**2 + 59*h + 19. Calculate j(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/3370 and -35\/4.\nAnswer: 6740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 47729 and 34712.\nAnswer: 381832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 2*k + k + 8, -10 = -5*k. Let l(y) = -y**2 - 17*y - 63. Let w be l(-11). Let f = -3 + 6. Solve s*v - 7 = -f*q, -w*q + 2*v + 14 = -9 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n*n\/(n\/(n*n**(-1\/3)))*n)\/n)\/((n**(-3\/11)*n)\/n)*n\/(n\/n**0)*n**(-20) assuming n is positive.\nAnswer: n**(-530\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 47533176 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 77 + a?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.16 (b) -0.2 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 714 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -7*m**4\/12 - 23*m**3\/6 - 19*m**2. Is 12 a factor of t(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 5) + (0 - -8) + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n - 5. Suppose -13*t + 6 = -11*t + d, 2*t + 3*d - 2 = 0. Calculate the remainder when z(-8) is divided by t\/(-10) - (-444)\/60.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 170, 333, 580, 923, 1374?\nAnswer: 1945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -78529455, -157058908, -235588361, -314117814, -392647267?\n\"Answer: -78529453*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 19*q + 12. Let y = 38 + -26. Let m be w(y). Is (m\/5)\/((-15)\/(-200)) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**2 + 4*y. Let d be j(4). Suppose -72 + 18 = -9*i. Suppose 0 = i*b - 1 - 47. What is the highest common factor of d and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.523 rounded to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1020 + -984. Let c = -105 + 153. Let n = c - l. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9369*k**3 - 9357*k**3 + 18734*k**3 - 2*k - 27*k**2 + 0*k.\nAnswer: 8*k**3 - 27*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9503 (base 10) in base 7?\nAnswer: -36464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15775279.\nAnswer: 13, 1213483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58.046 - 58. What is p rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -65*n**2. Let y(o) = -806*o**2. Give t(y(w)).\nAnswer: -42226340*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -33 and 24.\nAnswer: -792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/9)\/(1\/(1 - 0)). Let g = -1.5 - -0.5. What is the closest to 2 in v, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z**5 - 85*z**4\/2 + 35*z**3\/2 + 95*z**2 - 60*z = 0.\nAnswer: -4, -2, 0, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 + 4*a**3 - 6*a**3)*(-166*a - 184 + 184) to k*a**3 + j*a**4 + c*a**2 + r + z*a and give j.\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62525 + 62525 + 1605*g to the form z*g + l and give z.\nAnswer: 1605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -309*q - 363 wrt q?\nAnswer: -309","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5 = 5*m, -m + 16 = 4*w + m. Suppose -186 = -w*d + 4*u - 32, -25 = -d - 5*u. What is the smallest common multiple of d and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 17, 12, 41, 116, 249?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 2*d - 2*d)*(1 + 1 - 1) - 47 + 42 + 5*d + 8*d.\nAnswer: 14*d - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3505 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 21 + 5. Solve -3*v - x + 1 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*s - 6*m - 25, 4*m = 5*s - 59. Let f = -9 + s. Calculate the smallest common multiple of 10 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 a when four letters picked without replacement from kraaaarrkzrrrrr?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-2))\/((4\/(-2))\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1063*s**6 - s**4 + 4*s**2 - 38*s.\nAnswer: -127560*s**3 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**5 + 2*l**4 - 697*l**2*w**2 + 16*l*w - 294*w**2 wrt l?\nAnswer: 40*l**3 + 24*l**2 - 1394*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 572 smaller than 7434\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -376 - -376. Which is the second smallest value? (a) s (b) 0.53 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 5, 2, -6 in decreasing order.\nAnswer: 37, 5, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58965 is divided by 2947?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108)\/sqrt(12))\/(sqrt(12) - (sqrt(12) + sqrt(108) + sqrt(108)*-2)) - (0 + (-2*sqrt(363) + sqrt(363))*-2))*4)**2.\nAnswer: 68644\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 216\/(-1188)*2\/(-6)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 121401195?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-130)\/(-39) - 6)\/((-2)\/(-138)). What is the remainder when (-10)\/(z\/56 + 3) is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-2 - (7 + (-4 - 0))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 727*v**4 - 5810*v**3 + 5041*v**2 + 42*v.\nAnswer: v*(v - 7)*(v - 1)*(727*v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a1c + -6?\nAnswer: -a24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*g + 1633 = g, 0 = z + 5*g - 397. Let d = -2 - -7. Suppose 2*w = -5*h + 278, z = d*w - 2*w + 5*h. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105838*k**2 + 0 + 0 - 2 + 2 - 211661*k**2 + 105835*k**2.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2136430 is divided by 13351.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59 + -32 + -48 - -72.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 39*s + 785. What is the smallest common multiple of a(-20) and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of n**7\/210 + n**6\/90 + 2*n**3\/3 + 3. Let w(a) be the third derivative of q(a). What is the third derivative of w(o) wrt o?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -100*w**2 - 9*w + 8 + 21*w + 108*w - 44.\nAnswer: -4*(5*w - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4957*h. Let v(i) = 2*i**2 - 144*i + 24. Give u(v(f)).\nAnswer: -9914*f**2 + 713808*f - 118968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = n - 2*n - 10, 5*v + 2*n - 7 = 0. Suppose -5*k = 4*h - 179, v*k + k - 82 = -2*h. What are the prime factors of h?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1634 by 178.\nAnswer: 817\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -x - 15, -5*x - 8 = -3*r - x for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6299, -12654, -19117, -25694, -32391, -39214?\n\"Answer: -p**3 - 48*p**2 - 6204*p - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8999425717 to the nearest integer?\nAnswer: 2080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139869, 139864, 139857, 139848, 139837?\nAnswer: 139824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 3:59 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 220*h**2 - 2061*h - 504340. What is w(-221)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 14*v**2 + v - 4. Let d be h(14). Let y = -14 + d. What are the prime factors of (y - 0) + 3 - -37?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (1 + 1 + -3). Let u(x) be the second derivative of 5*x**3\/6 - 5*x**2\/2 - 286*x + 2. Let w be u(a). Solve -w = -5*j, j + 8 = -f + 5*j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 623, 2254, 4963, 8744, 13591, 19498?\nAnswer: 26459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3868 and 10.\nAnswer: 19340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smmmovvmmtmmvt. What is prob of picking 2 v and 1 o?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 1 = -4*b + 5*b, q - 5 = -5*b. Suppose 5*h = -b - 4. Let j = 2 - h. Solve 0 = -2*k - 5*y - 8 - 3, -12 = j*k + 3*y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (-5)\/(5\/(-3)). Let v(q) be the third derivative of -q**4\/24 - 4*q**3\/3 + 4*q**2. Calculate v(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 889a4?\nAnswer: -889a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 7:07 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 306991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -752*t - 6670. Give g(-8).\nAnswer: -654","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23808006427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**7\/420 + m**5\/60 + m**3\/3 - m**2. Let g(p) be the first derivative of b(p). What is the second derivative of g(s) wrt s?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 28\/(812\/667)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**4 - 1760*o**3 - 806910*o**2 + 287198600*o - 286389935 = 0 for o.\nAnswer: -403, 1, 377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4360126*k**2. Let c(x) = -x - 16. What is c(u(v))?\nAnswer: -4360126*v**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 0. Suppose 2*s - 3 = 7, 10 = -5*l - g*s. Let p(r) = 5*r**3 + 59*r**2 + 44*r + 5. Let i be p(-11). Put i, -21, l in ascending order.\nAnswer: -21, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131*n = 137*n - 30. Let s be (5\/(-30))\/(6\/(-28)) - 1. Which is the biggest value? (a) 0 (b) s (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (314*a - 272*a - 446*a)*(3*a**2 - 5 + 5) in the form f*a**3 + n*a**2 + d + g*a and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 + 4*f**3 - 4*f**3)*(-4 - 52*f + 53*f + 5).\nAnswer: 2*f**4 + 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 4 (b) -413 (c) 3 (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12570 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 2. Let v = q + -31. Let w(c) = c**2 + 4*c. Calculate w(v).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - 10. Let t(g) = 19*g - 2. Let n be t(3). Let z = f + n. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + (sqrt(1872) - -2*sqrt(1872))) - (0 + 4*sqrt(1573)*1 + sqrt(1573)))**2.\nAnswer: -1424*sqrt(13) + 103037","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -262, 2, 34, 5 in decreasing order.\nAnswer: 34, 5, 2, 0, -4, -262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(4\/29)\/y*y*y*y**41 assuming y is positive.\nAnswer: y**(1222\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t - 14. Let y be k(-6). Let i = 11 - y. Let c be i*(109 + (-1 - 0)). What is the greatest common factor of c and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2983*o**2 + 202843*o + 20. Determine y(68).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 24*d + 128. Let v be q(-16). Let b(j) be the second derivative of -11*j + 5\/12*j**4 + 0*j**3 - 5\/2*j**2 + v. Factor b(c).\nAnswer: 5*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.05 (b) -4 (c) 2\/55 (d) -978 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 - 62 - 102)*(-5*h + 11*h + 13*h + (1 - 5 + 3)*(-h + 3*h - 4*h)).\nAnswer: -2898*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 2. Let w be k(0). Suppose 0 = w*b + b. Suppose 2*j + 1 - 37 = b. Calculate the least common multiple of 12 and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r + 4. Let q(j) = 16*j**2 - 17*j**2 + 4*j - 11 + 8*j. What is the remainder when o(-3) is divided by q(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 6:45 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + -2)*(-1 - 7). Let q be 12*2\/(a\/3). Differentiate -42*u + 42*u - q - 12*u**3 wrt u.\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 + (-77)\/336*-3 and ((-7)\/(-1785))\/((-2)\/65)?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (75\/(-160)*4)\/((-3)\/24).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -24892*v - 19. Let j be h(14). Let y = 188507 + j. Round y to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (2 - (0 + -1)). Let a = o - 6. List the prime factors of (-105)\/5*a\/3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 41069294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -141560946*g**4 + 19837*g.\nAnswer: -1698731352*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = 5*l - 2*m + 1226, 3*l - 937 = -5*m. Suppose l*f - 298*f + 474 = 0. Is f at most as big as -79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/9 + 12700*j**2\/9 - 4793750*j\/3.\nAnswer: -2*j*(j - 4875)*(j - 1475)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 8) to base 7\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five quarters of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 4:50 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -38 + 14 - 23.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -283*w**5 + 29*w**4 - 12798*w wrt w.\nAnswer: -5660*w**3 + 348*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104799 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y + 89. What are the prime factors of s(34)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1163897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (89 + -55 + 1 + -7)*(3 + -1). Solve -24*k = -17*k - s for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1249.3 + -1249.43819. What is z rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3450 or 3449?\nAnswer: 3450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33324 - 1?\nAnswer: 33323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*j = 130673 - 608. What is the lowest common multiple of 261 and j?\nAnswer: 3393","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 51a1895 - 89?\nAnswer: 51a1807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3561550 divided by 77425\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 a, and 1 i when four letters picked without replacement from piixaxajipjaijiij.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*b + 132 = -17 - 1237 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 843, 848, 865, 900, 959, 1048?\n\"Answer: u**3 - 2*u + 844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 156250010?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2867032 divided by -2867032\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n + 2*n + n + 181*n**2 - 3*n as o + x*n + t*n**2 and give t.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) 0.5 (c) 0.2 (d) 122 (e) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a**4 + 175247248*a**3 + 240866444 wrt a.\nAnswer: 8*a**3 + 525741744*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 455\/105 + -13?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -13. Let o(h) = 4*h**2 + 180*h - 189. Let u be o(-46). Sort 2, -30, q, u in ascending order.\nAnswer: -30, u, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 11*b + 23. Let n(y) = 3*y + 7. Let r(v) = 4*g(v) - 14*n(v). Let q(p) = 1. Calculate -10*q(i) - r(i).\nAnswer: -2*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -32*w**5\/3 + 2726104*w**4\/3 + 4771022*w**3 - 23514167*w**2\/6 + 3024461*w\/3 - 85196 = 0. What is w?\nAnswer: -6, 1\/4, 85196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -4562476?\nAnswer: 4562478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 681.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -167*n**2 + 42*n**2 + 127*n**2. Let t(d) = -144*d**2. Give t(v(w)).\nAnswer: -576*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4970 divided by -355?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 7:12 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(-9))*d**18)\/(d**(-1\/4)\/d)**18 assuming d is positive.\nAnswer: d**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 55160?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 110937834, 110937836, 110937840, 110937846, 110937854?\n\"Answer: x**2 - x + 110937834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -12*h - 5. Let x = -1 + -5. Let z(k) = k**2 + 5*k - 12. Let t be z(x). Is o(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11066 (base 8) to base 11.\nAnswer: -3559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3961\/3 greater than 1319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 44*c**2. Let n(r) = -r. Give n(k(p)).\nAnswer: -44*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 8*a**2 - 23*a - 9. Let w be z(-10). What is the greatest common divisor of 2877 and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, c: 9}. Give prob of sequence cc.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -134, 1028369 in descending order.\nAnswer: 1028369, -5, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2355 - 2354.7. Let c = 6 - 6. What is the nearest to c in 0.32, 1\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**3*a*a\/(a*(a**(-3\/8)\/a)\/a))\/(a\/(a*a**(-4))*a**(1\/4)))**35 assuming a is positive.\nAnswer: a**(595\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (5178 - (-88)\/8)\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1609, -3256, -4973, -6796, -8761, -10904?\n\"Answer: -6*b**3 + b**2 - 1608*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -359*h + 1. Let m(t) = -300*t - 1. Let i(r) = -5*k(r) + 6*m(r). Calculate i(13).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-20))\/((-76)\/(-285))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 2*v - 318, -v - 4*t = -0*t - 165. What are the prime factors of v?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 1 + 7*q - 2 + (-6 + 16 + 14)*(-25*q + 23*q + 17*q) to x + p*q and give p.\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 9*w + 4. Let l be u(0). Let a be ((-1)\/l)\/((-244)\/32 + 7). What is the nearest to 4 in 0.3, 5\/3, a?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.6 + 2.4. What is the nearest to -0.1 in -0.1, 0, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 + 466 = 3*x + 3*y, 4*y = 5*x - 476. Calculate the lowest common multiple of 20 and x.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1169411.191 + -1169888. Let b = i - -477. Round b to 2 dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*f**2*k*p - 2*f**2*p - 181*f**2 + 25*f*k - 1029*k*p + 36*p wrt k.\nAnswer: -7*f**2*p + 25*f - 1029*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -185937.88526 - -0.8\nAnswer: -185937.08526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2113731 = 141*x + 5551082 + 1561381. Round x to the nearest one thousand.\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.4, -5, 252, 55, 9, 3\/4, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/407552 and -11\/36.\nAnswer: 3667968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 392 divided by 7.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**4 + 394*o**3 - 2400*o**2 = 0.\nAnswer: -400, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 24 = -0*b. Suppose -4*j - 2*p + 10 = 0, -15*j - p = -b*j - 9. Let n(m) = -m**2 + 9*m - 14. Determine n(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-43)\/430*15\/(-2))\/(12\/(-2))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b - 37 = 67 + 40 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1078\/42)\/((-2)\/360). Let x be ((-10)\/(-15)*-1)\/(7\/c). Calculate the greatest common factor of 40 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1790288 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5995, -12169, -18347, -24529, -30715, -36905, -43099?\n\"Answer: -2*p**2 - 6168*p + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s - 9. Let a be v(-10). Let h = a - 3. Calculate the remainder when 71 is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 44.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 11862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1693, -6695, -15031, -26701, -41705?\nAnswer: -60043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10966, -10976, -10986, -10996, -11006?\nAnswer: -11016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 n, and 1 r when four letters picked without replacement from uuuwwrrwwulrluurun?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 233301?\nAnswer: -233301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0492 - -200.9508. Let q = 20 + p. Let n = 222.41 - q. What is n rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -i - 3, -4*i = 3*u + i - 1. Suppose u*q + 36 = 11*q. Calculate the greatest common divisor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11630 (base 10) to base 6.\nAnswer: 125502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.9777 - 174.7623. Let y = 1291.1 - 1116.1. Let p = y + h. Round p to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 4. Let i(r) = 14*r**2 + 240*r + 941. Let t be i(-6). Let g = -7 + 7.9. Which is the nearest to d? (a) t (b) -1\/6 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 y, and 1 q when three letters picked without replacement from {q: 3, y: 2, o: 5, a: 5, u: 4}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 25*t**2 + 2*t - 43. Give b(25).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24377*x**2 + 83891.\nAnswer: -48754*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 + -23. Let t = 184.9 + -185. What is the nearest to s in -4\/9, 3, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105327497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -85, -24 in decreasing order.\nAnswer: 5, -24, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11925112.\nAnswer: 2, 1490639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p - 16. What is t(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 698, 1, 17, -1, -51?\nAnswer: 698","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 46.102613*0.5.\nAnswer: 23.0513065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 4:29 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 276*r + 280*r - r**2 - 1108*r + 282*r + 274*r + 205 to the form u*r + l*r**2 + a and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.5678 - 23.56776. Let c = 9 + p. Round c to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1420 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.798106411 to three decimal places.\nAnswer: -21.798","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 39011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 168896 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -143.\nAnswer: -71.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32620 and 3430?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 457*d - 3546. Let k be x(-19). What is k rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1542, 3149, 4754, 6357, 7958, 9557?\n\"Answer: -v**2 + 1610*v - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 - 1 - 19*v.\nAnswer: -19*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 635*v - 410*v - 150300 = 0. Calculate the remainder when v is divided by 216.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24c (base 15) in base 7?\nAnswer: -1344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - -1) + (-122158498)\/24. Let d = 5094125 + n. Let u = d - 4182. What is the common denominator of -145\/12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/(o**(1\/4)*o))\/o)**(-33)\/(o**(4\/9)\/o**(-1\/12)))\/((o**1)**(-1\/27)*o**9\/(o\/o**(-2\/9))) assuming o is positive.\nAnswer: o**(-1\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3646643 divided by 1?\nAnswer: 3646643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.307 + 0.32. Let w = 0.01316 - q. Round w to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 8. Let u = j - -7. Let r = 0.1 - -0.1. Put 0.5, u, r in ascending order.\nAnswer: r, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1225 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38724, 37862, 37002, 36144, 35288, 34434?\nAnswer: 33582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*l + 222 = 0. What are the prime factors of 10\/(-25) + l\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*z**2 - 74*z**2 + 67*z**2.\nAnswer: 63*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8\/17 - -10\/51. What is the closest to 22 in m, 4, -1\/4, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48000*a**4\/17 - 11461600*a**3\/17 + 53283720*a**2 - 23172733962*a\/17 - 41190832270\/17 = 0.\nAnswer: -5\/3, 1603\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 20. Which is the third biggest value? (a) v (b) 3\/5 (c) -29 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -12, 4.\nAnswer: -12, -4, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*r**4*w**3 + 9*r**3*w**3 + r**2*w**3 + 4*r**2 - 79*r*w**3 wrt r?\nAnswer: 192*r*w**3 + 54*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 - 5 + 2*u**2 - 8*u**2.\nAnswer: -5*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209455145, -209455144, -209455143, -209455142?\nAnswer: -209455141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -34\/5, -2?\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3*(-117)\/78?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 3.1. Let m = -1 - -0.9. Let t = 89.1 + -89. What is the nearest to v in -2\/3, m, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 5. Suppose -69 + 18 = -q*g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -7*v + 148. Suppose 4*l = -2*w - 49 - 67, -2*w = -3*l - 94. Let a = l + v. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*l + 20*l + 33*l**3 - 2*l**2.\nAnswer: 33*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(242) - (sqrt(242) + 1 - sqrt(242) - sqrt(242))*-1 - (sqrt(242) + 1 + 5))**2 + -3.\nAnswer: 220*sqrt(2) + 531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 + 18*f + 22. Calculate l(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -14*f**3 - 522*f**2 - 50*f - 217. What is the hundreds digit of m(-40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(((-1)\/(-2))\/((-27)\/81))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n - n - 2*n. Let y(i) be the second derivative of 25*i**4\/6 - 2*i + 13. Calculate y(b(j)).\nAnswer: 200*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i**2\/i)*i**10 assuming i is positive.\nAnswer: i**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46093 is divided by 452?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2816)*1)\/(4*sqrt(256) + sqrt(4)).\nAnswer: 8*sqrt(11)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 114\/29?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 11) to base 7\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - s**2 + s. Let u(b) = b**3 - 6*b**2 - b - 8. Let c(r) = u(r) - 3*x(r). Let k be c(-2). Suppose -36 = -k*q - 192. Are q and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffff. What is prob of picking 2 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011100101000 + 101001100010111010?\nAnswer: 101000000110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -38\/59 (b) 0.3 (c) 5 (d) 113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2482180728?\nAnswer: 2, 3, 2039, 50723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 80 and 324861.\nAnswer: 25988880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 56*i + 6. What is the hundreds digit of x(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 + 0)*(0*m + 2*m - m)*(0 + 5 + 5)*((-7 + 2 + 3)*(0 - 1 - 1) - 1 + 1 - 2).\nAnswer: 80*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5425 and 425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 8 + 0 - 3*z - 1 + 2*z. Let l be h(3). Find the second derivative of 5*s + s**4 + 3*s + 2*s**l wrt s.\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -288*z + 868. Give j(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39171 - -43971. Calculate the smallest common multiple of 45 and b.\nAnswer: 14400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.1543 rounded to 0 decimal places?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2205422*f**2 - 56*f - f**3 - 2205422*f**2.\nAnswer: -f**3 - 56*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (6 - (2 - 3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-36))\/(5*(-11)\/1485)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2926*w + 2415. Let t be ((-5)\/20 + (-33)\/12)*-1. Let b(n) = -154*n + 127. Let u(f) = t*m(f) - 56*b(f). Differentiate u(l) with respect to l.\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 6:33 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70152377 - 70152369 + c**2 - c**2 - 2*c**3.\nAnswer: -2*c**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 + 57*q**2 + 23*q**2 + 0*q**2 - q**2 + 4*q**2 + (-3 + 3 - q)*(0 - 2*q + 0) as n + o*q**2 + u*q and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1725560 and 2410?\nAnswer: 1725560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 296 + 57. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2957228.\nAnswer: 2, 739307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 174703658 to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t - 2*t. Suppose t = 2*w + 7 - 1. Let a(l) be the second derivative of -2*l**3\/3 - 2*l**2 - 5*l. Determine a(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 + 24*a + 31. Let p be w(-23). What is the greatest common factor of 10 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 5*i**2 - 60*i - 9. Let f be x(12). Let v be ((-4)\/3)\/(-1*21\/f). What is the closest to -0.1 in -0.4, v, -3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 292571459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 1 + 68 + 92 + -156.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 + -34. What is the biggest value in a, 0, -2\/19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -418, -3301, -11108, -26293, -51310, -88613, -140656, -209893?\n\"Answer: -409*p**3 - 8*p**2 + 4*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*d**2 + 10*d**2 + 3*d**2 + 23*d**2 + d**2 to p*d + f + i*d**2 and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47963?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (0 - (24 + -29 + -10)) - (1 + -46)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2519217000 to the nearest 1000000.\nAnswer: -2519000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -2*o + 14, 0 = -3*o - o + 11*w - 128 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 751b0 (base 12) to base 3\nAnswer: 21211100020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 17*o**2 + 12*o - 13. Let p be a(-18). Let h = -4 + 23. What is the greatest common divisor of h and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299901 + 299901 - 55*w.\nAnswer: -55*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -21368 divided by -30?\nAnswer: 10684\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497739757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -197068, -196890, -196366, -195322, -193584, -190978?\n\"Answer: 29*s**3 - s**2 - 22*s - 197074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**5\/20 + k**4\/6 + k**3\/6 + 3*k**2\/2 + 2*k. Let g = 208 - 206. Let o be i(g). Put -2, 1, o in ascending order.\nAnswer: -2, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*c**2 - 6 - 1 + 1 - 1.\nAnswer: -20*c**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2035*j = g - 2030*j - 3, -3*g - 4 = 2*j for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1038.\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8045 + -6779. What is the third smallest value in -2, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12536 - -112140?\nAnswer: 125006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -8374*y**3 - 2*y**2 + y - 2. Let o be (-48)\/(-30) - 2\/(-5). Let n be h(o). Round n to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 8:38 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16841, 5, 10 in decreasing order.\nAnswer: 16841, 10, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2240)*-2)\/(4*sqrt(20)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 358270.\nAnswer: 358270","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 43\/13 (c) 17\/2 (d) 0.2 (e) -4 (f) -0.06 (g) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.9 - 5. Let r = 4818.5 - 4832. Which is greater: u or r?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 6) to base 2\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + -3*(sqrt(180) - sqrt(180)*-2*-2 - 3*(1 + sqrt(180))) + 2.\nAnswer: 7 + 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1158198?\nAnswer: 2, 3, 137, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -88 + 116. Suppose 5*l + 28 = -s, -l = -5*s + 2*l - q. What are the prime factors of 4\/s*8 - -244?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 648\/135*(-21385)\/1092.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2356601801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1085 divide 5924448285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52103500?\nAnswer: 2, 5, 104207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c. Let w(b) = -b. Let a(t) = -5*f(t) - 3*w(t). Let q(i) = i - 8*i - 6*i + 4*i. Calculate a(q(j)).\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 60209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 3*l + 13, -6 = 2*f + 4*l - 18. Solve c - 20 = -4*o, 6*o - 3*o - 15 = -f*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5896 and 3685.\nAnswer: 29480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k**2. Let p(q) = -262*q**2 + 2*q + 1. What is p(f(h))?\nAnswer: -2358*h**4 - 6*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1697, -3402, -5107?\n\"Answer: -1705*g + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 398388.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 6 - 6*o + 3 to u*o + g and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 7*q + 10. Suppose c + 2*p = -c + 12, -c - 4*p = 0. Determine v(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48 + -50)*(-14 - (-1007)\/76).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 157*s**3 + 4*s**2 + 1060*s. Let c(o) = -510*o**3 - 13*o**2 - 3179*o. What is -4*c(v) - 13*f(v)?\nAnswer: -v**3 - 1064*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17\/6 - 5\/2. Let n = 13 + -9. Let l = n + 0. What is the closest to q in -5, l, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -776*d + 314 + 9371 = 379 - 13974 for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 220*k + 2080.\nAnswer: -5*(k - 8)*(k + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -26*n + 1303. Give v(48).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.02554 * 4638\nAnswer: -118.45452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01496472891 rounded to five decimal places?\nAnswer: -0.01496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-1\/3))**29)**(-41) assuming h is positive.\nAnswer: h**(-4756\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 12, q: 6}. What is prob of sequence qn?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.9383 * -2\nAnswer: 1.8766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((((-648)\/(-120))\/27)\/((88\/10)\/(-4)))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*v + 12*v - 45*v + 1204. Solve -27 = -v*k + 25*k for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/4 and (19\/30)\/(55\/45).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 54 = -5*y. Suppose 0 = -d + y. Suppose 0*c - 160 = -5*c. Calculate the greatest common factor of d and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 6*k - 596 = -4*k, -3*k = 4*w - 1192. List the prime factors of w.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 7*m - 19. Let z be i(-9). Let l(x) = 18*x**2 + 14*x**2 - 3 + x + 4. What are the prime factors of l(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -9. Let q = 4 - -5. Suppose 3 = -6*k - q. Which is the third biggest value? (a) h (b) k (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*v - 279 = -4*g - 623, -5*v = -4*g + 40 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8442 times 0.14?\nAnswer: -1181.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 7:04 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) - (sqrt(180) + sqrt(180)*1 + sqrt(180)))\/sqrt(9))\/sqrt(10) - (sqrt(200)*-3)**2*5.\nAnswer: -9000 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/87 (b) 9.68 (c) 5 (d) -5 (e) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 23\/2*(-15 + 17). Suppose 1334 = -21*x + b*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88698 + -45983. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 2*o = l - 18, 9 = 3*l - 3*o for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23076 - 63952 = 1858*n for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 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: Is 21329388 a multiple of 405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/45 + 12\/30?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t**3 + 261*t**2 - 5 + 4 + 4*t**3 + 73*t**2 + 62*t**2 as b + z*t + h*t**2 + l*t**3 and give h.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 132\/21 + (-20)\/70. Suppose 51*s = 54*s - g. Let d(j) = 3*j - 2. Let w be d(2). Put s, -1, w in decreasing order.\nAnswer: w, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*0.019055.\nAnswer: 0.0019055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.013325 in -0.8, -2\/9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24 * 70.\nAnswer: -1680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**3\/5 + 24339*c**2 - 2433596*c\/5 + 2336160 = 0 for c.\nAnswer: 8, 12, 121675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2319180 and 20?\nAnswer: 2319180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 55 = -5*a, 0*b - 3*a + 1 = -b. Let c(s) = 2*s**2 - s - 1. Let l be c(-1). List the prime factors of (4 - l) + b\/2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -7 - 8. Solve 8*p**4 - 6 + 2*p + 4*p**2 - 14*p**x + 6 = 0 for p.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 33\/5 of a meter?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 3*p - 13 - 28, -40 = -4*c - 4*p. Let y be 8\/(-4)*5\/(-2). Solve -q = -4*f + 2, -5*f + 2*q - y*q = -c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 891094.081 plus -0.5?\nAnswer: 891093.581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 - 35 - 27*m)*(-2*m**2 - 1 + 1).\nAnswer: 54*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12088? (a) -1\/6 (b) -1\/5 (c) 1 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -42*y**3 - 76*y**2 - 26*y + 8.\nAnswer: -2*(y + 1)**2*(21*y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + b = -2*b + 15, 0 = 4*x - 2*b + 10. Suppose 32 = -2*r + 2*v + 90, 2*r - v - 59 = x. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**3 + 6*z**2 + 9*z. Let t be w(-6). Let j be (-3 + t\/(-25))*-5. Let d be (-567)\/(-117) + (-6)\/j. Sort d, 1, 4 in increasing order.\nAnswer: 1, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 3 + 8\/(12*-6).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9122429 a multiple of 336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*r = -50. Let y = r - -1. Let k(v) = -v**2 - 14*v - 13. Is k(y) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.45 times 0.4?\nAnswer: 12.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -3537 (c) -3 (d) -2\/7 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9287 is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -24153786 divided by -6\nAnswer: 4025631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (12 - 8) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -25 - -39 - (1 + 138).\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -9, -49, 16, -1?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rkk when three letters picked without replacement from {k: 3, d: 1, r: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4*(sqrt(63) - (sqrt(63) + sqrt(567)\/(sqrt(45)\/sqrt(5))))**2 + (-5 + 5 + sqrt(189)\/sqrt(3))**2)*-5*-5.\nAnswer: 23625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008466 rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -100 - (107 - 163) - -92?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -227\/3 + 76. Let m = -32.8 - -32.5. Which is the third biggest value? (a) 2\/77 (b) m (c) -2\/3 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3)*y*y**(-3\/8)*y)\/(y**(-2)\/y**(1\/8))*((y\/(y*y\/(y\/(y*y*y**(-1)*y))))\/y*y)**1*(y**1*y*y*y)**(-2\/13) assuming y is positive.\nAnswer: y**(281\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by -10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrj when three letters picked without replacement from rjrrjdjjdj?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 43*l - 221. Let v be b(9). Put -4, v, -3 in increasing order.\nAnswer: -4, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22993423*j**4 + 2503575*j?\nAnswer: -275921076*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 352 and 87516.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 2:31 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -10. Is 6 a factor of d\/(-27) + 3 + (-158)\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3533, -6767, -9989, -13199, -16397, -19583, -22757?\nAnswer: -25919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + a = -14, -v - 2*a = -0*a - 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*h*j**4 - 2*h + 66749*j**4 - 2166890 wrt j?\nAnswer: -52*h*j**3 + 266996*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 29587770.\nAnswer: 59175540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -5*d - 451, 2*d + d = 2*p - 223. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) -5 (c) -11 (d) 3 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6332 - 6308. Solve -8*n + 16 = -f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 295*o**2 + 325*o**3 + 46*o**2 - 70*o**2 + 603*o**3 wrt o?\nAnswer: 5568","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328053.\nAnswer: 3, 11, 9941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 435, 843, 1211, 1521, 1755, 1895, 1923?\n\"Answer: -3*w**3 - 2*w**2 + 435*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/396*-11*-2)\/((-3)\/(-20))?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 56, -16, 5 in decreasing order.\nAnswer: 56, 5, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 3*b + 68 = 0. Let v be -7*2\/28*-4. Suppose -v = -5*g + 13, -s + 6 = -g. Calculate the remainder when b is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -14*r**2 + 76*r + 381. Determine b(-4).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 25 = -220*p + 647 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*6\/(-912)*8\/(-16)*2.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1612*b**4 + 30*b + 18*b - 70*b + 21*b + 311*b**2 - 7719*b**4 wrt b?\nAnswer: -223944*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 + 20*v**2 - 3*v + 3. What is the remainder when f(8) is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*z = 1362 - 6282, z + 24505 = 5*q. Is q a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9380 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 432.13 + -8.13. Let q = -423 + s. Which is the closest to -0.1? (a) q (b) 3 (c) -0.3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10659850 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 3*r**5\/5 - r**4\/24 + r**3\/6 + 50*r**2. What is the units digit of q(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 56 = -16*j. What is the nearest to 2 in j, -3, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i - 4. Let g be b(-6). Suppose w - g = 11. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**2 + 0*j**2 - j**2 + (0 + 4 - 5)*(j**2 + 2*j - 2*j) + 69*j - 132*j + 63*j - 102*j**2.\nAnswer: -99*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 3. Suppose 0 = 2*z + 3*n - 5, -n - 5 = 3*z + 5. Calculate u(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from eqeeqee?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -2, -11, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(130)\/(sqrt(10) + sqrt(360) + sqrt(10)).\nAnswer: sqrt(13)\/8 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 3, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 2\/3*n**3 + 3*n**2 + 1\/20*n**5 + 0 - 15*n + 1\/2*n**4. Suppose 7 - 2 = -j. Determine p(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*y + 0*y - 25*y - 2*y to the form c + i*y and give i.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7824 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 - -0.7. Let t = 0.7 - 0.2. What is the third smallest value in d, -4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 17*z**2 + z + 1. Let j(r) = -5*r**2 + 10*r - 1. Let a be j(2). Calculate the remainder when 66 is divided by n(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a minute in seconds?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**4)*t**(1\/9))\/((t**(-1\/3)\/t)\/(t\/(t*t\/t**4))))\/(((t**1\/t)\/(t*(t*t**(-6))\/t))\/(t**(-2\/25)*t**(5\/3))) assuming t is positive.\nAnswer: t**(1132\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1407 and 1514541?\nAnswer: 101474247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + 31.4. Let h = t + -31. Let j = 3 - 3.1. Which is the closest to j? (a) h (b) 0.4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -1\/5, -275, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (800 + 1200 - 210)*(i**2 - i**2 - 2*i**2 + (-1 + 1 - 1)*(i**2 + 0 + 0) - 4*i**2 - 2*i**2 + 5*i**2 + 1 - 2*i**2 - 1).\nAnswer: -10740*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 17147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 5*w + 5. Sort -4, 0, w in descending order.\nAnswer: w, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00576 rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 23 = -52. Suppose -2*w - a = w. Let n(k) = -7*k + 4. Is n(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -324.399.\nAnswer: -97.3197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyk when three letters picked without replacement from {k: 3, y: 5, o: 9, t: 1}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u - 1. Let a(w) = -10*w + 6. Suppose -5*i - 4 - 1 = 0. What is i*a(y) - 6*q(y)?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 233*z + 3*z**2 - 42*z - 53*z in the form w*z**2 + l*z + s and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 142 = 242. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*g - 12 = -73*g. Solve -11*u = -9*u - g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 356\/801 + 503\/18*2. Are 57 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6364 - 6167. Calculate the remainder when 770 is divided by g.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -844.9 + 811. Let j = g + 34. Is -2.5 less than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 3*s - 1. Let l(u) = u**2. Give k(w) + 6*l(w).\nAnswer: 5*w**2 + 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/18 and -1 + 3 + -7*174\/552?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170394 equal to 170392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/100*5*(2 + -4)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40178564 and 388?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -4 + 4 - (-1 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**2 + 5*v + 6. Let c be p(-3). Suppose 47 = -m - 5*q, m + c + 17 = -2*q. Let k = m - -27. Solve r - 1 = -k*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4 = 2*h - 0, -5*h - 19 = 3*b. Find a such that 0*a**2 + 24 - 16 + 12*a + 4*a**b = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2 + 10*j. Let d(t) = -2*t**2 + 11*t. Let a(x) = 4*d(x) - 5*f(x). Factor a(c).\nAnswer: 2*c*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11250 rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -233*k - 723. Let b(y) = 121*y + 362. Let g(c) = -5*b(c) - 2*i(c). What is the derivative of g(l) wrt l?\nAnswer: -139","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1104\/(-64) + 15 + ((-585)\/(-100) - 0)\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - (-3 - (-35 + 10))) + (0 - -82).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*f**2 - 23*f**2 - 25*f**2)*(f + 0*f - 2*f - 7)*(7 - 1 - 41) as y*f**3 + h + w*f**2 + k*f and give y.\nAnswer: -1820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9801\/231428 + -1\/4924. Which is the nearest to -1\/4? (a) f (b) -3\/8 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2008 + 2000 = -j - 3*r, -2 = -4*j - 2*r for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1\/4))\/((w*w**7)\/w*w))**(-11\/8)\/(w*w**(-10)*w*w*(w\/w**(2\/9))\/w)**(-18) assuming w is positive.\nAnswer: w**(-3863\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 = 7. Suppose -9 - u = 5*z, -d + 3*z + 5 = 0. Let f be (d - -27) + 2\/1. Solve 0*w + f = 5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**2. Let w(z) = 980260*z. Determine w(q(x)).\nAnswer: 3921040*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, o: 2}. What is prob of picking 1 o and 3 z?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 8, f: 5, m: 2, o: 2}. Give prob of picking 1 m and 2 f.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -1\/8*s**4 - 5 - s**2 + 0*s - 5\/6*s**3. Let h(g) be the second derivative of a(g). Differentiate h(l) wrt l.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -151, -226, -431, -832, -1495, -2486, -3871?\n\"Answer: -11*i**3 + i**2 - i - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 11 - 8)*((3*z + z - 3*z)*(2*z - 2*z - z) - z + 2*z**2 + z + 1 + z**2 - 1 + 121*z**2 + 231*z - 231*z).\nAnswer: -2706*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -72 + 65. What is the second smallest value in h, -1, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/2437240 and 85\/7799168.\nAnswer: 38995840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1154348002 to the power of 1\/2, to the nearest integer?\nAnswer: 33976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 126136801 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 544*a - 8. Let v be u(7). Round v to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v = -13*v - 2*q + 186, 0 = -q. List the prime factors of v.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 0.56 (c) -293\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 21*t - 103. Let q be p(-7). Let v be (-14)\/7 + q\/((-5)\/(-2)). Which is the smallest value? (a) v (b) 36 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 571127985?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*sqrt(52)\/sqrt(4))**2*5 + -1.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*z = 2*z - 3*z + 4*o + 46, -2*z + 2*o - 2 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.6999867 - -1.7. Round g to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 e when three letters picked without replacement from qqoeqqteo.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -433 + 432.9625. Let b = a - -0.1375. Which is smaller: 1.29 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 9:58 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 s when four letters picked without replacement from ccccccscccccscssccc?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 8*u + 15. Let s be t(-10). Is 402\/5*s\/(-2)*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 203044, 406082, 609120?\n\"Answer: 203038*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 0.2, 24, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*g = -4*x + 583, 5*x - 995 = 2*g. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71033 + -71033. Determine k so that 1\/6*k**2 - 7\/6*k + w = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-120)\/(-15))\/4*3\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 826206553?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40109*r**4 - 1183*r**5 + 40109*r**4 + (-1 + 2 + 0)*(-2*r**5 - r**5 + r**5).\nAnswer: -1185*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 135342995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 695825 a multiple of 325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of i**5\/120 + i**4\/24 - 10*i**3\/3 + 12*i**2. Let w(y) be the first derivative of u(y). What is w(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(2037\/194*(-12)\/1179).\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 424 + 321?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/sqrt(5)*-3 - (sqrt(26)\/sqrt(2) + sqrt(13) + -4 + sqrt(13)) - (sqrt(468)*-2 + sqrt(468) + 5)**2.\nAnswer: -489 + 54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/10)\/((-7)\/35). Suppose 2*k - 3*a - 9 = 2*a, 1 = -a. Suppose k*p + 7 = -t - 0*t, 0 = 4*p - t + 11. Which is greater: p or o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*1*sqrt(57))\/(sqrt(75) - -3*sqrt(75)*-1).\nAnswer: -12*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11400495, -11400488, -11400475, -11400456, -11400431, -11400400, -11400363?\nAnswer: -11400320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 10:43 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*r**3 + 58*r**3 + 37*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1*c)\/(c\/c**(8\/7)))**49 assuming c is positive.\nAnswer: c**105","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 5, m: 3, q: 1}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 162472 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 912676447881 plus 10?\nAnswer: 912676447891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.45 - -0.05. Let r = -13 - -21. Let y = -5 + r. What is the smallest value in 1\/2, v, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*692758\nAnswer: 3463790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10 - -10) + 4091*5\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) -0.8 (c) -0.3 (d) 8 (e) -1.28\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 48\/20 + (1*-3 - -1). Let m = -5.247 + 5.577. Sort a, m, -3 in descending order.\nAnswer: a, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/192882 and -47\/136.\nAnswer: 771528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 21*o**2 - 18*o - 64. Calculate the least common multiple of 27 and d(22).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134758849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1044*g**2 + 3278*g**4 + 4363*g**2 + 138*g - 138*g wrt g.\nAnswer: 78672*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5*a - 305640, -436*a + 5*l + 61158 = -435*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -513*f**2*n**3*u + f**2*n**2*u + 2*f**2*n*u**2 + 5*f**2*n + 2*f**2*u - 272*f*n**3*u + 1908*f*u**2 - 17934*n**3*u**2 wrt u.\nAnswer: 4*f**2*n + 3816*f - 35868*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5802426?\nAnswer: 2, 3, 7, 46051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 306.33155 rounded to the nearest ten?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7251478144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -12, 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 376276211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -25, -88, -191, -334, -517, -740, -1003?\n\"Answer: -20*j**2 - 3*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 12) in base 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7)\/g)**17\/(g*g**(2\/7))**(-2)*(g*g**(2\/29)*g*g\/g**(-1))\/(g**(3\/7)*g*g**5) assuming g is positive.\nAnswer: g**(-4394\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 1\/1196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 318, 323, 330, 339, 350?\nAnswer: 363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 119\/4 - (-1)\/4. List the prime factors of (-1)\/(-1 + n\/33).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - -59. Suppose 3*c - a = -n, -5*c - 1 = 3*n - 53. Let g(r) = r - 4. Let d be g(5). Calculate the highest common divisor of n and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.05797468 (b) -5 (c) 0.3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 1. Calculate the common denominator of (-42)\/5 + (-105)\/42 and b\/(-2) - (-91)\/(-16).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 302*g - 302. Calculate c(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -109*j**2 - 3180*j - 219. Give v(-30).\nAnswer: -2919","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 121 and 3?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 4*y**2 - y + 9. Let o be b(-3). Suppose 160 - 1027 = -o*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of n**3 - 1\/40*n**5 + 5*n + 0 + 0*n**2 - 1\/24*n**4. Let q(l) be the second derivative of j(l). Give q(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -12*r**2 + 2*r + 1. Let w be s(-1). Let v = -9 - w. Solve 0 = v*o - 2*q - 8 + 4, -3*o - 3*q = 15 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1601, 2677, 3765, 4865?\nAnswer: 5977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**5 + 56809*w**4 - 58711054*w**3\/3 + 5083844362*w**2\/3 + 3408825175*w\/3 + 569226875\/3 = 0.\nAnswer: -1\/3, 175, 18587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2035\/1665)\/(56\/(-63)).\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000370111 to 5 decimal places.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 9, 0*u + 2*i = -4*u + 46. Suppose y = 2*p - 79, p - 2*y + 154 = 5*p. What is the highest common divisor of p and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10221 (base 3) to base 2.\nAnswer: 1101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r*r*r**16))\/(r*r**9*r))**(-1) assuming r is positive.\nAnswer: r**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(2))\/sqrt(10) + ((sqrt(3) - (0 + sqrt(3))) + -3)**2)*6.\nAnswer: 6*sqrt(3) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -z**6\/8 - 11*z**3\/6 - 7*z**2. What is the derivative of d(y) wrt y?\nAnswer: -45*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 25 (b) 3\/4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*w = -111*w + 15. Let l = 83 + -32. Calculate the smallest common multiple of w and l.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -233038946*y**6 + 1179*y**2 - 27*y + 214.\nAnswer: -27964673520*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 100*p - 102*p - 42 = 0, -6 = -2*i + 3*p. Which is the third biggest value? (a) -1\/11 (b) 1\/2 (c) -1 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 556? (a) 15 (b) 3 (c) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -290.9943852 - -291. What is r rounded to 4 dps?\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-3066)\/(-146)*(2 + 1*-1) and 336?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14137 divided by -67.\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000989859 rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (-7 - -9 - 7). Let k(v) be the first derivative of 2\/21*v**3 + 0*v + 2\/7*v**2 + r. Factor k(i).\nAnswer: 2*i*(i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/15)\/3*-5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10799569?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 - 31 - 15)*(1 - 2 - 2)*(-4*k - k + 2*k).\nAnswer: -711*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -79 + 81. Suppose -5*l - 4 = -t + 3, -b*t + 28 = 4*l. Find a, given that 7*a**3 + 101*a**2 - 107*a**2 + 7*a**5 - 32*a**3 - t*a**4 = 0.\nAnswer: -1, -2\/7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 52, 133, 248, 397, 580?\nAnswer: 797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -560 + 561. Let v(q) = b + 117*q**2 - 122*q**2 + q**3 + 3 - q + 0*q**3. What is v(6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35662 (base 7) to base 9.\nAnswer: -13624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c - 17 - 33 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 - 2142*f - 129260. Determine r(-64).\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -1\/12*r**4 + 0 - 5\/6*r**3 + 14*r - 5\/2*r**2. Let z be n(-2). Which is smaller: 2\/41 or z?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2. Let s(h) = -18 - 8*h**3 - 4*h**3 + 14*h**3 - h - h + h. What is 18*o(f) + 2*s(f)?\nAnswer: 4*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.92 - 325.08. Let j = o - -332.999661. What is j rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(2\/9))\/v*v)**(2\/61))**3*(v**(1\/2))**(-25)\/(v\/v**(-5\/4)*(v\/(((v\/(v**(-4)*v))\/v)\/v))\/v) assuming v is positive.\nAnswer: v**(-9245\/732)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 0. Let w = 1558.1 - 1558. What is the smallest value in w, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1217 and -16 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 1772 = -11*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -l**4\/4 + 7*l**3\/3 - 3*l**2 - 2*l + 3. What is the remainder when 52 is divided by n(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -9*f - 126. Calculate g(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/33)*g)\/(g**5*g*g))\/(g**(-3\/4)\/g*g*g**(-2\/11)) assuming g is positive.\nAnswer: g**(-673\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**3*k**3 + 58583*d**3*k**2 - 357*d**2*k**3 - 3661*d*k**3 + 2*k**2 - 16 wrt k.\nAnswer: -6*d**3 - 2142*d**2 - 21966*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 43\/9 - 2\/(-9). Let i be (-5 - -1)*56\/(-112). Solve -x = -i*x - q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -286 + 303. Let t(i) = 4*i**2 + 9*i - 1. Let a be t(-7). Find the third derivative of -132*k**4 - r*k**5 + a*k**4 + 17*k**2 wrt k.\nAnswer: -1020*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.71564 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1354 + 53?\nAnswer: -1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -26288, 0.5, 0.00403, 2 in ascending order.\nAnswer: -26288, 0.00403, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -28 * -81051\nAnswer: 2269428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and 0.036.\nAnswer: 0.0252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-80)\/44*-1 - 6\/(-33). Solve -4\/3*z**3 - 1\/3 - 4\/3*z - 1\/3*z**4 - a*z**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 1480*q**2 + 16371*q - 44744. What is b(-1491)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3948+0.625\nAnswer: -3947.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -d**2\/2 + 4237307*d\/2 - 8474606 = 0?\nAnswer: 4, 4237303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10110212 - 12?\nAnswer: -10110230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*d - 12*d - 61126. What are the prime factors of d?\nAnswer: 2, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1163 and 44.7158982.\nAnswer: 1207.7158982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*t - 28 + 1 - 37.\nAnswer: -30*t - 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3 + sqrt(17) + 5 + sqrt(85)\/sqrt(5)*3 + sqrt(68)*-5)**2.\nAnswer: -60*sqrt(17) + 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6419 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*g + 154*g - 70*g.\nAnswer: 48*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m. Let q(a) = -a - 1. Let g(o) be the third derivative of o**4\/6 + o**3\/2 - 2*o**2. Let n(k) = -g(k) - 3*q(k). Determine t(n(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1552439236651 - 77?\nAnswer: -77.1552439236651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36674*y - 31376*y + 54587*y to v + w*y and give w.\nAnswer: -13463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64133.0066234 - 64133. What is q rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 - 15)*((-3 - 2 + 6)*(0 + 2*o + 0) + (2 - 3 - 1)*(0*o + 2*o - 3*o) + o + 2*o + 0*o).\nAnswer: -154*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -1885*b**4\/12 - 97*b**3\/6 + 7*b**2\/2 + 8396*b. What is the second derivative of p(l) wrt l?\nAnswer: -3770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 310.9 + 55.1. Let q = -365.9999623 + u. Round q to 6 dps.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20510 and 385295.\nAnswer: 1465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - 7*o - 5. Let b be (21\/(-9) - -2)*-3. Suppose -6 - b = g. What is j(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20217, -20218, -20219, -20220, -20221?\nAnswer: -20222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01497180413 to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16660 (base 8) to base 16.\nAnswer: 1db0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**3 - 22215*j**2 + 46597125*j - 19531490625 = 0. Calculate j.\nAnswer: 555, 3425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 85318 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/13)*(u*u**(10\/11))\/u)\/(u*u**(2\/25)*u*u)**(4\/19) assuming u is positive.\nAnswer: u**(12481\/67925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1314315402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-756)\/918)\/((-8)\/(-68)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102748514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 10*o - 53. Determine n(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, m: 2, c: 4, z: 4, f: 3}. What is prob of sequence fgm?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -2*k + 16. Suppose k*j + 0*j + 1088 = 5*a, -444 = -2*a + 3*j. Suppose w**2 + 3*w + 216 - 2*w - a = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -7. Suppose -6 = -w*o + 14. Is (79\/(-2))\/((-2)\/o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 35*r**4\/4 + 70*r**3 - 105*r**2 - 1305. Let w(q) = -q**2 + q. Calculate s(k) + 210*w(k).\nAnswer: 35*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + b + 1. Let t be -3 + (42\/2)\/3. Let d(j) = -t*j + 3*j**2 - 6*j**2 + 1 - 6. Calculate -d(f) - 4*n(f).\nAnswer: -f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241400373.\nAnswer: 3, 80466791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -2\/5, 0.0046286, 0.25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*x - 73*x = -224 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 10:43 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*y + 14*y**2 + 5*y**2 + 53544 - 17*y.\nAnswer: 19*y**2 + 53544","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 6*t**2 + 4*t - 11. Let o be g(-4). Suppose s - 4*p = -7*p + 3847, 4*s - o*p - 15388 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2)\/(w**(-2\/11)\/w)*w**4*w*w**(1\/6))\/((w*w**(-4))\/(w\/(w**5*w))*(w**(2\/5))**(-2\/35)) assuming w is positive.\nAnswer: w**(27389\/11550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -69*b - 8967. Let g be x(-130). Solve -96*r + 93*r + g*m - 21 = 0, -2*r - 5*m + 14 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25061803.\nAnswer: 13, 181, 10651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of q**4\/12 + 3*q**3 + 21*q**2\/2 + q + 4. Calculate b(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (135\/(-225))\/((-6)\/(-20)*(-4)\/6). Solve -8*s + 9 = -3*g - 10*s, 5*s = -t*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 7*p + 2. Let j(a) = -3*a**2 + 4*a**2 + 0 + 2 - 6*a. Let v(i) = 5*h(i) - 6*j(i). Let n(b) = -2*b**2 + b - 3. What is -2*n(m) + 3*v(m)?\nAnswer: m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 82460309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2424 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.203*1433.\nAnswer: 290.899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 42 = 14. Let q(w) = 5*w**2 + 2*w - 3. Let f(t) = -6*t**2 - 3*t + 4. Determine u*q(r) + 3*f(r).\nAnswer: 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.5 and 898.9?\nAnswer: -1348.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) 5 (b) -0.08 (c) -0.0172 (d) 0 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12702779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 13) to base 15\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 + 542. Let k(t) = 68093*t. Determine y(k(r)).\nAnswer: 9273313298*r**2 + 542","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -3. Suppose z = -1 - h. Put 2, -1, z in descending order.\nAnswer: 2, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 3*f**5\/7 - 330*f**4\/7 + 1245*f**3 + 21180*f**2\/7 - 9600*f + 5376 = 0.\nAnswer: -4, 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4720 = 3*c - 5*h - 4688, 3*c + 3*h = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 8*l. Let h(t) = t**2 + 4*t + 4. Let u(x) = 2*x**2 + 9*x + 9. Let i(a) = -9*h(a) + 4*u(a). Determine i(g(w)).\nAnswer: -64*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.049, 2\/47, -2.\nAnswer: -2, 2\/47, 0.049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, r: 5}. What is prob of picking 2 g and 2 r?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*k - 160, k + 786 = -h + 6*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 15*q**2 + 14*q + 32. Let j be s(16). Let b be (1 - -1)*1 + 1. Put j, -1, b in increasing order.\nAnswer: -1, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 59.48919cm?\nAnswer: 594891.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, w: 3, b: 2, f: 7}. What is prob of sequence wf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -49, -59, -73?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -3\/8 (c) -2.954 (d) -17 (e) 0 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 + -44. Let y be ((-3)\/10)\/((-9)\/w). What is the third smallest value in y, -2\/11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2186880 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**6\/120 - 3*x**5\/20 + x**4\/12 + 3*x**3\/2 + 950*x**2 + 5. What is k(-9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -3*a. Let p(i) be the third derivative of 0*i**3 + a - 1\/3*i**4 + 3*i**2 - 1\/20*i**6 + 4\/15*i**5 + 0*i. Factor p(o).\nAnswer: -2*o*(o - 2)*(3*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + n + 3*s + 15 = 0, 0 = -2*n - 1489*s + 1490*s + 13 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (-2 - -8 - 4). Let t = 0.06 - 3.06. Let d = t + 3.5. Which is the closest to 0? (a) -5 (b) k (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -19*g**2 + 8*g. Let y(f) = -19*f**2 + 7*f - 10054229 + 10054229. Determine 5*q(i) - 6*y(i).\nAnswer: 19*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2854 + 3*l + l - 2502 - l)*(-2 - 9 + 5).\nAnswer: -18*l - 2112","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = w + 7, -5*w - g + 3*g - 32 = 0. Let d = w + 10. Find the second derivative of 2*n**4 - 2*n**d + 3*n + 0*n - 5*n**4 wrt n.\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/217626 and 131\/123933276.\nAnswer: 2850465348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 999299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -584825044 divided by -4716331.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339 = 4*o + 39. Suppose -2*k = -5*q + 143 - 18, -2*k - 50 = -2*q. What is the highest common factor of q and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*j + 3242 + 18*j**2 - 41*j**2 + 26*j**2 - 3233 in the form l*j**2 + s*j + i and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -278c + 37b?\nAnswer: -2411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -41*z**7\/2520 + z**5\/6 + 2*z**4 + 10*z. Let p(b) be the third derivative of n(b). Find the first derivative of p(a) wrt a.\nAnswer: -82*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 9*t + 9. Let o(p) = p**2 - 13*p + 13. Suppose -3*g - 2*g = -25. Suppose 2*v = -z - 19, 46*z = 3*v + 43*z + 6. What is g*o(q) + v*k(q)?\nAnswer: -2*q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvm when three letters picked without replacement from {m: 5, v: 4, c: 3, r: 4}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 u when two letters picked without replacement from eoeuoureuueoe?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48959412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/2 + 8\/(-64). Which is the third smallest value? (a) p (b) -5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 53*i**2 + 321*i - 46. Let o be c(-46). Solve o*m - 70 = 14*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t - 6*t - 3*t - 4*t**3.\nAnswer: -4*t**3 - 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 737*d**2 + 1777*d.\nAnswer: 1474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 53*b**4\/24 - b**3\/3 + 335*b**2 - 7*b. Let k(t) = 57*t. What is k(r(a))?\nAnswer: 3021*a - 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*c**3 - 15402 + 15402.\nAnswer: -14*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 1. Let h(l) = -30*l - 17. Let w be h(-2). Suppose -w*a - 10*a = 212. Let n(o) = 5*o. What is a*m(z) + n(z)?\nAnswer: z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(176)*-1*-2*3.\nAnswer: -2 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -916, -2612, -5088, -8344?\n\"Answer: -390*s**2 - 526*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14733.05 milligrams to kilograms.\nAnswer: 0.01473305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, -28237, 0.03, 2, 22?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/41 (b) 5 (c) -3\/4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1177120, 31, -3 in descending order.\nAnswer: 1177120, 31, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l**2. Let m(t) = 33*t. Determine i(m(f)).\nAnswer: -4356*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15095, 61044, 137867, 245564?\n\"Answer: 15437*g**2 - 362*g + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 10*v**2 + 12*v + 10. Let s be g(-11). Let m = -4 - 2. Let f be (-267)\/m + s\/2. What is the greatest common factor of 11 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -0 + 60. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 32\/(-128) + (-2)\/(-8). Suppose 3*u = -4*d - a*u + 523, 2*d + u = 263. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 11, -17, -3608, -1, 0.\nAnswer: -3608, -17, -4, -1, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11, 10, -6 in descending order.\nAnswer: 11, 10, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 74, 4, -4, 1 in ascending order.\nAnswer: -4, 1, 2, 4, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 201.9 - 202. Let m(o) = -o**2 - 3*o - 1. Let s be m(-3). Let t = 0.3 - -0.7. Which is the nearest to i? (a) s (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 418958, 418959, 418960, 418961, 418962?\n\"Answer: n + 418957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 534352 and 1101?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213\/98 > 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2349*b - 2352*b - 20 = 5*g, -9 = 4*g + b for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2330, -4666, -7006, -9350, -11698?\nAnswer: -14050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and -18.844?\nAnswer: 18.944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 344 - 46 = -750. Solve -118*n = -p*n - 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1803491 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*(-3 + sqrt(500)*1 - (-3 + sqrt(500) + 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 + 0*d**2 - 3*d**2 + 6*d**2 in the form n*d**2 + q*d + a and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13807863867672.1 + 0.1.\nAnswer: -13807863867672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 4*v + 5. Let d be s(5). Suppose d = -2*o - 2 + 6. Find the second derivative of -4*u**o + 5*u**2 - 2*u**2 - 3*u**2 + 2*u wrt u.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/4*(1 + 1). Let r = -4\/39 + -58\/195. Suppose -4*z = -4*y + 32, 5*z + 5*y - 3 = -13. What is the second biggest value in l, z, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37799141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3085 (base 14) in base 10?\nAnswer: 8349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*h**2 + 135*h**2 + h - h.\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -17*v - 21. Let z be r(-6). Suppose -2 = -2*x, 5*l + x + z = 7*l. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - -0.4. Let a(s) = -4*s**3 - 2*s**2 - 6*s - 4. Let w be a(-1). Suppose -5*b - 3*v = -0*b + 27, 2*b = 4*v + 10. What is the closest to -1 in w, i, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1899496 and 40364290?\nAnswer: 161457160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 165*u**2 + 2*u - 2*u - 637*u**2 + 2.\nAnswer: -472*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 509510 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, v: 5, t: 2}. What is prob of picking 1 n and 1 t?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, b: 2, o: 1, y: 2, p: 1, m: 1}. Give prob of sequence yyy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 1 + 3)*(0*b - 7*b + 4*b)*(3 - 3 - 1).\nAnswer: 30*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*z = -35*z - 96. Solve 2*c - 20 = -4*d + 4*c, 0 = -5*d - 2*c + z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/30086 and 89\/16?\nAnswer: 240688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - c**2 + c + 3. Let i(h) = 2*h**3 - h**2 + 2*h + 4. Suppose s + 9 = 8. Let u be s + -4 + (2 - 1 - -1). Determine u*i(q) + 4*m(q).\nAnswer: -2*q**3 - q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -1) + 2 - 0. Let k(s) = s**3 + 8*s**2 - 9*s + 3. Let d be k(-9). Solve m*b = d*b - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8871 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q - 7 - 15*q + 18*q. Let i be z(2). Suppose 3*c = -c - i*s - 11486, 2*c = -s - 5742. Round c to the nearest 100.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42944 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/18432 and 131\/122112.\nAnswer: 976896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 123 and 939377691.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 101011110001 (base 2) to base 13\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-2 - 1 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -379513786*i**3*j**2 + 2*i**2*j**2 + 3994*i**2*j - i**2 + 8*i*j**2 - 4*j**2 - j wrt i.\nAnswer: -2277082716*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/(-4)*(-36)\/63. Let o = z - 0. Solve -2*r + r - n = 8, 3*r + 20 = -o*n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**35)**(4\/33))**45 assuming u is positive.\nAnswer: u**(2160\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11*(-306)\/(3672\/72)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26\/291 or 0?\nAnswer: -26\/291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22563 + 8089 + 9077 + 2 - 4 + 3 + 3 - 2 + 1 + 2 + 1 - 2 + (6 - 4 - 3)*(-3 + 1 + 0))*(-1 - 3 + 0)*(-2*g - g + 5*g) as k + r*g and give r.\nAnswer: 43128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6644 - 1 - (128 - 119).\nAnswer: 2, 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b - 10 = 19*b. Solve 15 = -8*w + b*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5577 + -5569. What is the nearest to 2\/3 in 0.1, 0, q, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 4:48 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -352502 (base 6) to base 11.\nAnswer: -20947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50 + 1066 - 139)*(-2*k**3 - k**3 + 5*k**3).\nAnswer: 1954*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: -0.558724 * 0.4\nAnswer: -0.2234896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11039 + -4128. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 146 - 150. Sort 4, q, -5.\nAnswer: -5, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -831 + 830.9. Which is the closest to s? (a) -7 (b) 0 (c) 5 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - t**3 + 3057*t**2 + 3075*t**2 + 2850*t**2 - 8565*t**2 + t.\nAnswer: -t**3 + 417*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 9:29 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1695687 to the nearest integer?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51269 is divided by 17078?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0807093 to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 556762457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 10:42 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/((sqrt(72)*-1)\/sqrt(12)))**2 - (sqrt(539) - (-2 + sqrt(539))**2 - sqrt(11) - ((1*sqrt(77))\/sqrt(7) - sqrt(11))).\nAnswer: -34*sqrt(11) + 554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/18*(2 + -4)*((-43 - -2) + 35)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 229414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1577962?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 64388412 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 204 and 46975794.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 1\/4*m**4 + 2 + m**2 + 3*m + m**3. Let k(y) = -y**3 - 4*y**2 - 3*y - 4. Let x = -85 + 83. Give x*k(g) - 3*p(g).\nAnswer: -g**3 - g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -244 plus 5290338.62895?\nAnswer: 5290094.62895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -481*x + 1013*x - 5916 = 503*x. Solve -10*r + 44*r = x for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 - 537*h**2\/2 - 5391*h\/4 - 1079.\nAnswer: (h - 1079)*(h + 1)*(h + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 9*i**2. Let t be -3*3*(-5)\/15. What are the prime factors of x(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2 + sqrt(4)\/sqrt(2) - (sqrt(2) - (-3 + sqrt(2)))*-6) + 1 + ((sqrt(18) + sqrt(216)\/(sqrt(24)\/sqrt(2)) + sqrt(18))\/sqrt(9))**2.\nAnswer: sqrt(2) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -9*b + 1. Let g be u(2). Suppose -3*k = 7*x - 3*x - 106, -5*k - 122 = -4*x. Let z = x + g. Calculate the greatest common divisor of 121 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 11:25 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 238.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, y: 8}. Give prob of sequence yxy.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2216 greater than or equal to 2217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*x**3 + 104*x**3 - 27*x**3 - 29*x**3 - 24*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-19)\/((y\/((y*y**(-4\/9))\/y))\/y) assuming y is positive.\nAnswer: y**(-175\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5*j - 19. Let q(f) = 11*f + 39. Let v(b) = -6*q(b) - 13*w(b). Let a be v(0). Solve a = -4*d + o, 5*d - 5*o + 3 = -2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 1, l: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 351*z**2 - 1079 - 671*z**2 + 3*z + 321*z**2 - 3*z as c*z + g*z**2 + t and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -102886028.\nAnswer: 102886028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 129524597 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*c + 3*l + 29, 2*c + 43*l - 18 = 39*l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/9225 and 69\/1925?\nAnswer: 710325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - i**2 + 19. Suppose -3*d - 5*j = -17, d + 5*j - 3*j = 7. What is the remainder when v(0) is divided by (25\/20)\/(d\/(-24)*3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -211 in -5\/16, 0.014, 5?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uulwwblwwww. Give prob of picking 2 w, 1 u, and 1 l.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 475310 + 639715 = -4*q, u + 2*q = 1115001. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/10*(-1)\/2*-20. Let k(u) = 6*u**2 + 2*u - 4. Let q be k(-3). Calculate the highest common divisor of q and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 14*w**2 - 2070*w - 2358. Give s(149).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2877 - -333. Calculate the highest common divisor of 30 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-8) - (-14)\/(-8). Let u = 0.13 - -0.37. Sort u, -5, g in descending order.\nAnswer: u, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20453 - -38595. Is 4 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111101101011 (base 2) to base 5\nAnswer: -111242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/((b*(b**23\/b*b)\/b)\/b)*b**(19\/3) assuming b is positive.\nAnswer: b**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 4*g + 92, -7*g + 12 = -3*g. Let w be (-15)\/s - (-91997)\/4. What is w rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 64 = -10*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1461.\nAnswer: 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5556 and 2245495.9.\nAnswer: 2251051.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**9*w\/(w\/(((w*w**(-2\/11))\/w*w)\/w)))**(7\/4)*((w**(-3\/8)\/w*w)\/w*w\/w**2)**(-11) assuming w is positive.\nAnswer: w**(1039\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4857, -4886, -4887, -4848, -4757, -4602, -4371?\n\"Answer: 2*f**3 + 2*f**2 - 49*f - 4812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -9*c**2\/2 - 40*c - 31. Let b be z(-5). Differentiate -2*j + b*j - 31 + 3*j wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3858?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-150) + (-931)\/700.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -11, 3\/8, 3\/2, -0.2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64526153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10*(34\/51 + (-44)\/75). What is the nearest to -17 in -3\/2, 4, u?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*-3*3 - sqrt(170)*-2*-3)\/(1*-4*1*sqrt(490)).\nAnswer: 15*sqrt(17)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*15*(-1)\/3. Suppose -3*h + 3*w = 6, 5*h - h - 32 = -4*w. Find the second derivative of -a*b - b + 3*b - h*b**5 wrt b.\nAnswer: -60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -235, -586, -889, -1138, -1327, -1450, -1501?\nAnswer: -1474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2851 - -204?\nAnswer: 3155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 23, 133, 393, 869, 1627, 2733?\n\"Answer: 11*m**3 + 9*m**2 + 6*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v - 48 - 102*v**2 + 43*v**2 + 8*v.\nAnswer: -59*v**2 - 2*v - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3108 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: What is -192474 divided by 153?\nAnswer: -1258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1235 = 83*n - 88*n. Let s be (n\/(-39))\/(-2 + 7\/3). Differentiate -2*m**2 - 59 + 0*m**2 - m**4 + s - 12*m**2 with respect to m.\nAnswer: -4*m**3 - 28*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + 6*((sqrt(176) + 0)*-5 + (5 + 2*sqrt(176))**2 - (2 + (sqrt(176) - (sqrt(176) - (-1 + sqrt(176)))**2))*-2).\nAnswer: 408*sqrt(11) + 4387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -9*z**3 + 86*z**2 + 4*z + 1. Let x(v) = -11*v**3 + 85*v**2 + 5*v + 1. Give -5*k(q) + 4*x(q).\nAnswer: q**3 - 90*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 - (-5 - (24 + -1 + -14))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -109 + 106. Which is the fourth biggest value? (a) z (b) -0.5 (c) -2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*k + 17. Solve 3*f - k = 5*a, -2*a - 4*f + 6 - 24 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10551 + -10556. Put -4, -58, z in decreasing order.\nAnswer: -4, z, -58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/83 (b) -2\/97 (c) -1.4 (d) 0.3 (e) -5\/22 (f) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-40)\/(-300) - 31839\/(-2070). Let f = u - 39\/46. What is the common denominator of (-2)\/6 + 83\/33 and f?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3 - 46\/(-28)*2 and 121\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3187\/35 + -451\/5. Determine f, given that 12\/7*f**3 - a*f + 0 + 15\/7*f**2 - 9\/7*f**4 = 0.\nAnswer: -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -177139 - 0.028585179?\nAnswer: -177139.028585179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215 is divided by 56.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/85, 8, 0, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -409 + 413. Let s = 27 + -39. Let b be (3\/9)\/((-1)\/s). Solve 3*m - p = o, o = b*m + m - 10 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -123610586 to the nearest one million.\nAnswer: -124000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3675798.\nAnswer: 2, 3, 7, 29173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times -296685?\nAnswer: -178011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 30 + 0\/(25\/5 + -3).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200630.5 hours to microseconds.\nAnswer: 722269800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -4738*u + 1042347. Give v(220).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5617 + 8399. List the prime factors of v.\nAnswer: 2, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 4*b + 1. Let k be o(2). Solve -4*d = -3*v - 6, 5*v + k*d - 19 - 6 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 725 + -725.1. Let m be 0 + 2 + (-14)\/6. Put m, -1, -5, a in increasing order.\nAnswer: -5, -1, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -184 + 1531. Calculate the remainder when t is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -178033995 - 2?\nAnswer: -178033997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3143 + 3236. What is the remainder when 273 is divided by f?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*k + k. Let g(p) = -p**3 - 2*p**2 + 3*p + 2. Let d be g(-3). Find the second derivative of -24*c - k*c**d + 13*c + 7*c wrt c.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(4\/(-162)) - 2. Is 82 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*(2*sqrt(5) - sqrt(5))**2 + 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1245*t**3\/4 - 1289815*t**2\/2 + 334058200*t + 2683240 = 0. Calculate t.\nAnswer: -2\/249, 1036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16259\/11 + 1478. Which is the closest to 3\/2? (a) -2\/23 (b) 0.03 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5)*o*o)**24\/((o**(3\/5)\/o)\/o**(1\/5))*(o\/((o*o*o**(1\/2))\/o)*o*o**(-3))\/(o\/(o\/(o\/(o\/(o\/(o\/(o**1*o)))))))**(-10) assuming o is positive.\nAnswer: o**(757\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18439 and 4.\nAnswer: -18435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*n - 6 - 1 = 0, 5*n = -5. Let y be 2 + 320\/(-24)*12*h. Is 1\/3 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (268\/67)\/(26*2\/(-2))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.07231 + 0.0733936. Round u to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 o when three letters picked without replacement from oooookqffkffokkkktoo.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 6, k: 2, r: 1, f: 2, d: 1}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -70 + 12?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69238 is divided by 37.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 12) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 4 = 2*s, -s - 2*p + 32 = 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9 + (2 - (-1 + -1)). Suppose s - 14 = -y. Suppose 3*w + 23 = 2*c, -8 = 2*c + 3*w - s. Solve 1 = m + c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -17*w**5\/30 - w**4\/12 + 14*w**3\/3 - 2*w**2 + 45. What is the first derivative of f(u) wrt u?\nAnswer: -68*u - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15d82 + -c?\nAnswer: 15d74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 + -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/7)\/(d**(-1)\/d) assuming d is positive.\nAnswer: d**(12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 123*w + 82. Let h(q) = q + 1. Let y(r) = 3*a(r) - 246*h(r). Let m(v) = -91*v. Calculate m(y(p)).\nAnswer: -11193*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 632 and 112.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30458 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -288*n. Let m(q) = -4*q. Give w(m(y)).\nAnswer: 1152*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46786127 + 0.04.\nAnswer: 46786127.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39448 divided by 9862.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4763*n + 13808. Calculate u(-4).\nAnswer: -5244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.14 - 0.24. Let d = 0.6 - 0.1. What is the third smallest value in s, d, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-1\/4)*z)**(7\/12)\/(z**1\/z*z*z**(-3)\/z)*(z*z**0*z)\/(z\/(z*z**(-4\/5)))*(z*z**(-2))**30 assuming z is positive.\nAnswer: z**(-1959\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -5*h**4 - h**3 - 273*h**2\/2 - 776. Find the second derivative of a(d) wrt d.\nAnswer: -120*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 193918 - 193917.9666659. Let x = -0.0334 + u. What is x rounded to six decimal places?\nAnswer: -0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**2 - 4714094*z - 5555670560209 = 0. What is z?\nAnswer: -2357047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a hour in seconds?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/300*20)\/(4 - (-23)\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -75798? (a) -2\/7 (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(63) + 3)**2 + (sqrt(42)\/sqrt(54) - -1*(0 + sqrt(7))).\nAnswer: 58*sqrt(7)\/3 + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -5*c + 3*k, 0*k - 2*k + 43 = -3*c. Let n(d) = -d**3 - 14*d**2 + 13*d - 25. Let m be n(c). Solve 4*x = 3 + 1, -2 = b - m*x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 3:18 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q**3 - q + 2. Let s(a) = 440*a**3 + 7*a + 451. Let t(c) = -21*r(c) - 3*s(c). Differentiate t(w) wrt w.\nAnswer: -3834*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (99 - 45 - 34)*(133*a - 2 - 1 - 126*a) to the form u + b*a and give b.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, p: 6, r: 1, o: 2}. What is prob of sequence cocp?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j = -10*j - 4*s + 4513, 7518 = -5*j + 3*s. Let b = -3354 - j. What is b rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21\/607 or 0?\nAnswer: 21\/607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 5*o**5\/3 - 982*o**4\/3 + 15796*o**3 + 28302*o**2 - 105435*o - 117612 = 0.\nAnswer: -3, -1, 12\/5, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1948 and 109788.\nAnswer: 213867024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 46.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 15 - 3. Let k(n) = -n**2 + 6*n + 8. Let w be k(i). Suppose 4*u = w + 12. Solve 14 = -3*j + 5, j + 23 = u*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 330*z + 17. Let r be (-2)\/3 - (-374)\/102. Is h(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100001101100 (base 2) in base 16?\nAnswer: 186c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -154.5 + 154.4. What is the fourth smallest value in 4, t, 8, -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-54)\/81*555\/80*(-48)\/12).\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 2. Let b be y(-5). Suppose -b*q + 2038 = -1777. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 15 = 5*f. Solve -453 + 4*k**f - 7*k**3 - 57*k**2 + 210 - 297*k = 0.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -242565 + 21251?\nAnswer: -221314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iudd when four letters picked without replacement from iurdudurldui?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/((-180)\/(-2272)) - 0. Let y = 113 - l. What is the closest to 2 in 2, y, 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**4 - 10905*b**3 - 13209588*b**2 - 5327859888*b + 5341080384 = 0.\nAnswer: -1212, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 r, and 1 h when three letters picked without replacement from {g: 4, l: 2, f: 4, h: 1, r: 5}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 138217184011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 510 by 3.\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 16.83 times 41\nAnswer: 690.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -2*z + 4*s, -z + 4*s + 6 = -11. Let u be (1 + z\/(-24))*2. Sort -2, u, 3 in decreasing order.\nAnswer: 3, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -41. Let n(c) = -c**2 + 9*c + 5. Calculate n(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2\/9 (b) 0.5 (c) 3 (d) -2\/3 (e) 2812\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41111 - 77465 = -2262*x + 170960 for x.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30068.36 years in months?\nAnswer: 360820.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 11*p**2 + 10*p - 126. Is 7 a factor of i(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 951050154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 19 = -14. Let l = a + 48. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 1. Suppose n - 13 = -2*x, -24 = 44*x - 47*x - 3*n. Let k(w) = 4*w - 11. Calculate x*z(q) + k(q).\nAnswer: -q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 PM and 6:27 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*g - 16. Let t(y) = 18*y**2 + 4*y + 0 + 3 - 7*y**2 + 0 - 13*y**2. Let h(z) = 4*z**2 - 7*z - 5. Let j be -1*2*(-15)\/10. Give g*t(b) + j*h(b).\nAnswer: 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h - 8. Let o = 16 - 23. Let p be y(o). Which is the third biggest value? (a) 0 (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 4*u - 221 = -g, -5*u = -2*g + 442. Let w = 222 - g. Solve -4*j + w = -3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2894*g**3 - 116*g**2 + 8865310 wrt g.\nAnswer: 8682*g**2 - 232*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/8*(-37 - (-12 + -27)). Let l = 2.06 - 0.06. What is the closest to l in v, 2\/9, 0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/21439890 and -49\/32159835.\nAnswer: 64319670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 515275710 rounded to the nearest ten thousand?\nAnswer: 515280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 20*p**2 + 46*p + 1. Let q be u(3). Does q = -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 g, and 1 x when three letters picked without replacement from {x: 1, g: 5, q: 3, y: 4}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*j + 5*h + 4, 0 = 5*j + 3*h + 10. Let p be (0 - (-15 + j)) + -18 + 15. Suppose 13*y + 71 = p*y. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 4:25 PM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1345632, 2691280, 4036928, 5382576, 6728224?\n\"Answer: 1345648*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 3:44 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 1002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 11:49 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**3\/8 + 219*w**2\/8 - 675*w\/4 = 0.\nAnswer: -225, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.717546 centuries to years.\nAnswer: 571.7546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -10 - 188?\nAnswer: -198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (20\/240)\/((-6)\/(-8))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1924 - 1924 - 407*a)*(0*a**2 - a**2 + 2*a**2)*(2*a**2 + 2 - 2)*(-8 + 7 + 13).\nAnswer: -9768*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -5*x**4\/12 + 20262*x. Let i(d) = 3*d**2 + 7*d**2 + 10*d**2. Give a(i(n)).\nAnswer: -2000*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 296732943.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 2\/7 (b) -167 (c) 3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -29 - 126. Calculate the remainder when 58 is divided by z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 399986190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (80\/180 - (-35698369)\/153) + 44\/(-374) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1143 is divided by 249?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*(sqrt(24)\/sqrt(8))**2 + (sqrt(30)\/sqrt(1000))**2.\nAnswer: -697\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-133)\/(-35) + (0 - 2) + 26\/(-13). What is the nearest to 734 in w, -1\/4, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 1\/3*s**6 - 5\/2*s**4 - 3 - 2\/5*s**5 + 8*s**2 + 2\/3*s**3 + 8*s. Factor l(o).\nAnswer: 2*(o - 2)**2*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -12*j**3 - 28*j**2 + 15*j - 51. Let d be o(24). Is (-28)\/(-3)*d\/(-148) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 divided by 101874\nAnswer: -41\/101874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 18 + 0 = 0. Let i(h) = 9*h + 9. Does 15 divide i(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-77*y - 44*y + 23*y - 4 - 2*y + 4 + 0*y - y + 3*y + 5*y - y - 2*y + (y + y + 0*y)*(-3 + 7 - 2) + 2*y - 2*y + y - 2*y - 3*y + 2*y)*(-3 - 3 + 5).\nAnswer: 94*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 2:00 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -6*g**2 + 17*g + 6. Let f = 7 - 4. Suppose 0 = -0*u + f*u - 6. Suppose -u*k + 34 = -k. Let s(z) = z**2 - 3*z - 1. Determine k*s(i) + 6*m(i).\nAnswer: -2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/21)*(n**(-4\/7)*n)\/n)**1 assuming n is positive.\nAnswer: n**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y - 2 = -11*y. Let u be 2\/4 - (2 - (-7)\/y). Solve -5*j - u*o + 13 = -7, -5*o = 3*j - 31 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -881*r**5\/5 + 800*r**3\/3 - 71. What is the third derivative of n(a) wrt a?\nAnswer: -21144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 2*r + 4. Give o(-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 588 a factor of 58093224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2965 + -3043)*12\/(-13).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p. Let y be g(-5). Suppose y*x - 1 - 44 = 0. Solve 5*r - 1 = x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 14*v**2 - 5*v + 46. Let z be r(-14). Calculate the greatest common factor of z and 754.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**2 - 8*x**2 - 26*x**2.\nAnswer: -42*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 28, 2\/211463, 2\/3?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -15*w**4 + 1109686*w**3 - 4512477*w**2 + 147942*w + 591800 = 0?\nAnswer: -1\/3, 2\/5, 4, 73975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*w + 52*w = -17*w + 10989. Solve -16*y - w + 3 = 0 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-24)*8\/686. Which is greater: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*f + 3*g, 8 = -4*f + 3*g - 7. Suppose f = -3*t - 12 + 30. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -143*v**4 - 2*v**2 + 29*v + 25729.\nAnswer: -572*v**3 - 4*v + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/7 + 273\/49 - -5. Solve -2*i = -2*m - 16, -m + 5*m = -3*i - t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3007*n**2 + 6415.\nAnswer: 6014*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 11. Let m(j) = 4*j - 1. Let r be m(k). Suppose v = -5*y + 14, -20 = -r*v - 2*v. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a millennium in centuries?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -6.94. Let s = 0.86 + k. Let p = s + -4.8. Which is the third smallest value? (a) p (b) -1\/3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 16. Let p = -6 - -7. What is the second biggest value in 0.2, p, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 91 - -4?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 24 = -4. Let x(q) = 0*q**2 - v*q + 3*q + q**2 - 4 + 3. What are the prime factors of x(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.1 (b) 0 (c) 5 (d) 0.16 (e) -4\/9 (f) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**6 + j**5 + j**2 - 2*j. Let l(o) = -2*o**6 + 219*o**5 - 7*o**2 + 11*o. Let m(r) = -l(r) - 4*s(r). What is the third derivative of m(h) wrt h?\nAnswer: -240*h**3 - 13380*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 141667\/6 + -23611. Determine h so that -1\/2*h - 2\/3 + f*h**2 = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8601.0436 rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*40\/16*(-184)\/10?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11)\/(-198)*-6*(1 - -2). Let y(q) = -1. Let v(b) = -b - 8. Determine p*v(k) + 5*y(k).\nAnswer: k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29149348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 + -18 - (13 + -3)) + 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -22*r**2 - 14744*r - 58961. Give v(-4).\nAnswer: -337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19.83 + 19. What is the closest to 2\/13 in p, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3*6 - -3)\/((-20)\/(-3540)) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 40 = -17*z + 15*z, -2*z - 5*o = 0. What is the lowest common multiple of z and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 42*n + 2 + 1 as y*n + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -394, -387, -404, -457, -558, -719, -952, -1269?\nAnswer: -1682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c5 + a5a7a?\nAnswer: a59a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/27*(63 + 26487\/(-436)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 206515445 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - q + 7 = -28, -5*d + 5*q + 65 = 0. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a day in hours?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.02, -0.7, 6\/61, 47?\nAnswer: 6\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 338221 to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + j + 0*j + 4 + j. Let w be m(0). What is the second derivative of o**5 + 139*o**3 - 2*o + w*o - 139*o**3 wrt o?\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 969 a factor of 39142759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4133 by 12.\nAnswer: -4133\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q + q**3 + 2*q - 4 + 12*q**2 - 4*q**2. Let g be h(-6). Let t = g - 16. What is the remainder when 29 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11\/4 of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -100, -4\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 24 = -12*x. Put 1, 8, x in increasing order.\nAnswer: x, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/328*2*(-2)\/((-4)\/2).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -19 (b) 2\/13 (c) 3\/4 (d) 1 (e) 0.2 (f) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 14*d**4 - 7*d**3 + 6*d. Let r(j) = -13*j**4 + 6*j**3 - 5*j. Let b(p) = -7*r(p) - 6*x(p). Find the second derivative of b(z) wrt z.\nAnswer: 84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 9. Let g be (-28)\/(-3)*(-12 - 765\/(-60)). What is the greatest common divisor of j and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 145*d**2 - 25*d - 25. Let z(f) = -12*f**2 + 2*f + 2. What is 4*t(s) + 50*z(s)?\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (250\/1925)\/(105\/231). Let k = 4 + -2. Which is the nearest to k? (a) -4 (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34757687?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 25*d**2 - 65*d - 24. Calculate j(22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -1) + 7 + 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 107323591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0. Suppose -j - 3 + p = 0. Let x = j + 6. Put 0.5, x, 0.1 in increasing order.\nAnswer: 0.1, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*g - 2*x + 5, -5*x = 4*g - 27. Let a be 0\/(-8*(-9)\/72). Suppose 216 = -a*j + g*j. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.429237 to 2 dps.\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 982.81?\nAnswer: -984.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 t, and 1 w when three letters picked without replacement from {v: 6, w: 5, s: 1, t: 6}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.86 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**1)**47*c*c*c*c*(c**2\/c)\/c*c*c*c*c*c*c*c**(2\/9))\/(c**(1\/3)\/c**1*(c*c\/(c**(-4)\/c))\/(c*c*c*c**(-1\/2)\/c*c*c)) assuming c is positive.\nAnswer: c**(1825\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 55?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9462 - 9391. What is the remainder when w is divided by 17?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awkw when four letters picked without replacement from {w: 5, a: 1, k: 3}.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 5*p**2 - p + 6. Let o = -12 + 17. Let a be z(o). Which is bigger: a or -0.02?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9800 and 245?\nAnswer: 9800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -236*p - 89. Let g(c) = -1146*c. Give n(g(b)).\nAnswer: 270456*b - 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.8207366g?\nAnswer: 820736.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h + 32 = 8*h. Let y be -18*-2*(-2)\/h. Suppose 34 = -5*i + y. Let j(n) = -n - 9. What is j(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (144\/(-672))\/((-6)\/(-7) + -1). Which is the third smallest value? (a) 1 (b) -4\/9 (c) t (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32452 to the power of 1\/2, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -600, -1202, -1818, -2454, -3116?\nAnswer: -3810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12101000221011 (base 3) to base 4\nAnswer: 22320330322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*b**2 + 9*b**4 + 2*b**4 + b**3 + 0*b**4 + 2*b**3 - 12*b**4 + 4*b + 8 in the form s*b**3 + h + o*b + k*b**2 + a*b**4 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-23) + (-640)\/(-3128). Let r = 9 + -4. Which is the biggest value? (a) f (b) 0 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 + -5 - -5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9146\/7544 + -1 + (-74)\/296 and -53\/552.\nAnswer: 22632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -2225.63 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 4945 = 4959 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 179 and 262525159?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1.3 + 72727.1877\nAnswer: 72728.4877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 11:10 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + o + 4. Let x be p(0). Suppose -x*u = -29 - 11. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*n - 62739994 = 0, -191*j - 125479996 = -187*j - 2*n. Round j to the nearest 1000000.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/70 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2 = 2, 5*h = 5*c - 215. What is the remainder when 130 is divided by c?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48 - (46 + -49))*1.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (10285\/(-272))\/11*8\/(-10)\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/(-74) - 1\/(-4)*4?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -10. Let t(j) = 2*j**2 - 3*j + 3. Let n(m) be the second derivative of 0 - 1\/12*m**4 + 1\/6*m**3 - m - 1\/2*m**2. Calculate f*n(v) + 2*t(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23a6 - 59?\nAnswer: 2348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2 + 32 + 37 + v**2 + 5*v - 90 + 7*v. Give q(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(-1\/2)))**(3\/20)\/(o\/(o*o**5)*o**(3\/2)))**(-14) assuming o is positive.\nAnswer: o**(-959\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 5.8. Let v = 7.4 - o. What is the second biggest value in -0.4, 5, 3, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1112531, 2225934, 3339337, 4452740, 5566143?\nAnswer: 6679546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 c when two letters picked without replacement from pmsvsvcp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 8. Suppose 4*t = 9 + j. Sort -3, t, 1.\nAnswer: -3, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -3\/7, -0.04, 2, 0.69 in decreasing order.\nAnswer: 2, 0.69, 0.4, -0.04, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -237816\/113 or -2106?\nAnswer: -2106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 3:14 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 15) to base 12.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.038 - 6.962. Let v = 7.2 + q. Is 2\/5 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38718055?\nAnswer: 5, 7743611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-19 + 1)\/((-6)\/9). Suppose -5*s - 5 = 5*x, 0*x - f = -3*s + 3*x. Calculate the remainder when 11 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76994549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(63) - sqrt(7))*6 + -2*sqrt(567) + 0 - ((sqrt(385)\/(-1*sqrt(11)) + sqrt(35))\/sqrt(5) - (1 + (sqrt(567) - (1 + sqrt(567))))))**2.\nAnswer: -24*sqrt(7) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 83 and 28758?\nAnswer: 2386914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271126.\nAnswer: 2, 31, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 51\/2. Suppose 15*v - 41 = 48 - 74. Let i = -13.7 - -13. Which is the smallest value? (a) i (b) f (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 29609424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + b = 5*b + 80, -4 = 2*b. Find the second derivative of -108*k + 149*k**2 - 25*k + 70*k**2 + g*k - 69*k wrt k.\nAnswer: 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 + 71 - 32 - ((-8 + 3 - -4) + -82)\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/(-51)*6\/(-296)*-2)\/((-28)\/(-84))?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.177 to one dp.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/(12\/36) - -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 715468 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of g**7\/210 + g**6\/45 - g**5\/30 - g**4\/3 + 20*g**3\/3 - 25. Let s(b) be the third derivative of i(b). Factor s(f).\nAnswer: 4*(f - 1)*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2974 + 547 = -5*m, -3*m = 5*h - 1453. Solve 3*y + m - 480 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 1 (c) 4\/3 (d) 21700 (e) 1\/2 (f) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-480))\/(-14 - -11 - 9\/(-2))\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 10*v**2 - 17*v + 125. Let s(d) = -2*d**2 + 3*d - 25. Let l(m) = -2*o(m) - 11*s(m). List the prime factors of l(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2267 + 4531 - 4674*b - 2264 in the form r + v*b and give v.\nAnswer: -4674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 395756 (base 10) in base 5?\nAnswer: 100131011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 19*l**2 - 41*l - 35. Let f be r(21). Let o(y) = y**2 - 4*y + 128. Is o(f) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -22\/5, 0.1, -10, 152, 5\/2?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1045 - 3?\nAnswer: 1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33.99999962 + -34. What is t rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1051475 or -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -89087929287+-502\nAnswer: -89087929789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x - 6*x - 1 = -4*v, -3*v = 5*x + 3 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 14*k + 5. Let a be q(1). Suppose 16*r - 222 = a*r. Let g = r + 154. Calculate the highest common factor of 20 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (6*(-3*-2*(sqrt(300) - (1*sqrt(300)*-6 + sqrt(300))) + -5))**2.\nAnswer: -129600*sqrt(3) + 13997699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47847451 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b + 10. Let k be n(5). Let s(u) = u**2 + 13*u - 1. Let p be s(-12). Let v = k + p. What is the remainder when 25 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 457 + -442. Let k(x) = -72*x**3 - 9*x**2 + 10*x - 25. Let o be k(s). Round o to the nearest ten thousand.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -2*u - 34, w + 8 = -2*u for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5a7 + -1?\nAnswer: -5a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3)*f)**48*(f**(2\/3))**(-6) assuming f is positive.\nAnswer: f**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 19 - 17, -i + 2*a = -5*i + 82 for i.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 646441?\nAnswer: -646435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1197 = -227*q + 220*q. Find the second derivative of 414*u**3 + 34*u - 112*u**3 - q*u**3 wrt u.\nAnswer: 786*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*c + 594 + 65 = -328 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 661 >= -249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/8)\/(-24)*-4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -b + 29683585, 4*b + 10*i = 12*i + 118734340. Suppose -b - 76716415 = -16*u. Round u to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1873719 (base 12) to base 11.\nAnswer: -2992823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 25453150 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*c = -9, 4*k + c + 0*c = 6. Let p be k + (-218)\/54 + 3. What is the second biggest value in -1\/4, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1*(1 - 2))\/(8 - 9). Let x = 53 + -1645\/31. Which is bigger: g or x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16113956, -16113944, -16113930, -16113914?\n\"Answer: k**2 + 9*k - 16113966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 418 * 626.\nAnswer: 261668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 7.902348021582.\nAnswer: 8.402348021582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 140770?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32*y**4 - 103 + 192 - 120 wrt y?\nAnswer: 128*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5157 (base 8) to base 15\nAnswer: -bd1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-2)\/(-3)*1\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 2*o = 5 - 9, 2*m + o = -4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1303657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2764*d + 2764*d + 35*d**2. Let z(r) = 32*r**2. Determine g(z(n)).\nAnswer: 35840*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 6) + -3 + -4 - 7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -421 + 622. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 7:12 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.02136923 and -41154?\nAnswer: 41154.02136923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 3*i + 6. Let t be v(5). Let a be t\/8 + (1 - 1). Factor 1\/5 - 1\/5*k**a - 1\/5*k**3 + 1\/5*k.\nAnswer: -(k - 1)*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3056.81 * 1.4\nAnswer: -4279.534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192*v**2 - 28*v**2 + 769*v**2 + 752*v**2.\nAnswer: 1301*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48855, 97708, 146561, 195414?\nAnswer: 244267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s**4 + 3*s**4 + 0*s**4)*(-3 - 4 + 4) + 5*s**2 - 5*s**2 - 3*s**4 + s**4 + s**4 - 4*s**4 to the form c*s**4 + f*s + k*s**3 + n*s**2 + u and give c.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30015, 59994, 89973, 119952, 149931?\nAnswer: 179910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s + 6. Let d(x) = -12*x - 23. Determine -4*b(o) - d(o).\nAnswer: 8*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/((-84)\/(-6)))\/1)\/(59\/177)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/9 - (-10)\/(-45). Let w be (a - 1)\/(-7 - -5). Factor 0*z**2 - 1\/2 - z + w*z**4 + z**3.\nAnswer: (z - 1)*(z + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3607170 divided by -10.\nAnswer: 360717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-7)\/21)\/((-10)\/(-6)). Let r = -0.6 + 4.6. Suppose 127*y = 21*y + 341 - 23. What is the third biggest value in y, r, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 times -69?\nAnswer: -48.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*a - 417 - 1168*a + 21 wrt a.\nAnswer: -1151","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -1020*p + 91. Is v(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 6 = 6*h - 4*h, a + 12 = 4*h. Suppose h*k - 90 = -0*k. Is k a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15241 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -55, -148, -295, -508, -799, -1180?\nAnswer: -1663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/7, -2\/9, -0.4, -31\/3, -2\/37?\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 4*j**2 + 71*j - 326. Let v be c(8). Let o(f) = f**2 + 16*f + 11. What is o(v)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4 - t**3 + 5*t**2 - 3*t.\nAnswer: -t*(t - 1)**2*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15\/4 in -1\/9, -5, -8?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 49657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, 2\/9, 1894\/19 in increasing order.\nAnswer: 2\/17, 2\/9, 1894\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + sqrt(143)*-4)*-2)\/(sqrt(99)*3).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - 2*v - 4*v)*(v - 366 - 368 + 733)*(2*v - 2*v - 2*v**2).\nAnswer: 14*v**4 - 14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 835 + -839. What is the biggest value in 5, 37\/5, n?\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(104)*-1)\/sqrt(4))\/(2*sqrt(128) + sqrt(2)) - ((sqrt(832) - -1*sqrt(832) - sqrt(832))**2 + (3*sqrt(13)*-1)**2)).\nAnswer: 6*sqrt(13)\/17 + 5694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (-9)\/((-45)\/(-40)) - 145. Let z = o + 290. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.91 + 2. Let b = o + 0.11. What is the nearest to -9 in -1, b, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19350824 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -191 (base 14) in base 9?\nAnswer: -388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 2*s = -4, 12*z - 17*z - 3*s = 19 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 11*i + 10. Let k be c(10). Suppose -6 = -3*r + 3. Solve -q - r*q = -k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z + 2. Let w(o) = -5*o - 11. Let d(i) = 2*w(i) + 11*x(i). Let a(q) = -2*q**2 - 9*q. Let h(c) = 2*a(c) + 18*d(c). Let k(b) = 4*b. Calculate h(k(p)).\nAnswer: -64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 9*u**2 - 13*u + 13. Let n be b(6). Suppose 117 = -5*z - n. Let l = 42 + z. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**8*q)\/q**(-14))**(-1\/44))**(-3\/22) assuming q is positive.\nAnswer: q**(69\/968)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -x + 4*j, -28*x + j = -25*x - 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l + 109. Let j be x(10). Suppose 12*k - j - 5 = 0. Suppose -96 = -0*u - 3*u. Calculate the remainder when u is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 141798 + 20?\nAnswer: 1417b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-24)*124\/(-558)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 2)*(4*z**5 - 5*z**5 - z**5) - 37*z**5 - 15 + 15 + (9 - 2*z**3 - 9)*(4 - 4 - z**2).\nAnswer: -29*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -g**6\/1800 - g**5\/300 - g**4\/120 + g**3\/3 - 3. Let o(j) be the third derivative of y(j). Let o(h) = 0. Calculate h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 3:32 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b - 1. Let z(m) = 2*m**2 - 28*m + 7. Let g(p) = -7*t(p) - z(p). Let f = 4 + -2. Let q(u) = -3*u**2 + 3*u**2 + f*u**2. What is g(q(r))?\nAnswer: -8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -551512 (base 6) to base 3.\nAnswer: -2022202222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 138 + -136. Suppose i = -l*u - 3*i + 218, 2*i + 89 = u. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1)*(-2598)\/6062.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7780957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*n + 134*n - 285*n - 128 - 423.\nAnswer: -9*n - 551","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -852, -1806, -2758, -3708?\n\"Answer: i**2 - 957*i + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-136)\/22 + (-4)\/(-22). Let l be a\/(-9)*(-42)\/(-4). Suppose 15*q - 424 = l*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times 2.77978?\nAnswer: -0.0833934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28697862 divided by -6.\nAnswer: 4782977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -594*o + 10047. Determine p(17).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 63410 divided by -20\nAnswer: -6341\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (127 - 124) + (4 - ((-4 - -2) + -1)) + -53?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.83259 rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-3))\/((-2)\/3) + -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46\/2 + (3 - 6) is divided by 66\/10 + 4\/10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -253 + -408785?\nAnswer: -410148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 17*c + 35. Calculate b(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 17 + 17*k**2 - 6*k**2 + 9 - 8*k**2 + 84*k in the form a*k + h*k**2 + n and give a.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(24)\/sqrt(4)*-1))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1952182857.\nAnswer: 3, 650727619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -5*u - 140, -2*u - 3*a - 37 = 2*a. Let x = u + 31. Factor -1\/3*k + 1\/3*k**2 + x.\nAnswer: k*(k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -3*w - 8. Suppose w*i = -3*i + 20. Let n(m) = 2*m - 4. Let z be n(3). Put i, z, -5 in ascending order.\nAnswer: -5, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02 + 0.42. Let j = -11 + 10.9. Which is the nearest to -1\/6? (a) j (b) s (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47839?\nAnswer: 11, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 2\/141, -2, 4?\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101111100000 - -11010011001111?\nAnswer: 110000010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -483220, -483185, -483142, -483091, -483032?\nAnswer: -482965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2085ca (base 13) in base 14?\nAnswer: -15b577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a century in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*sqrt(190)*-1 - sqrt(190))\/(-3*sqrt(10)*6 - sqrt(10)) + 1 + 0.\nAnswer: 2*sqrt(19)\/19 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**3 + 12310*i - 12310*i + i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/((-1230)\/(-2296)))\/(2*1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 0*w**3 + 0*w + 38*w**2 + 1\/24*w**4 + 0. Let b(p) = -4*p - 5. Let n(o) = o + 1. Let s(q) = -b(q) - 5*n(q). What is s(t(a))?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3*28\/(-21) + 1 + 1893?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 715?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 10*c**2 - 24*c - 18. Let n be t(-7). Suppose 4*l - 8 = -l - 4*b, b = -n. Solve -l*j - 10 = -14 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26634 to the nearest one thousand.\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 14 = -5*y + 2, -3*l + 2 = -2*y. Suppose o = -l*o + 75. Calculate the highest common factor of 10 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2879365, -2879361, -2879353, -2879341, -2879325?\n\"Answer: 2*f**2 - 2*f - 2879365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36349.\nAnswer: 163, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 - 5*p + 3. Let o be r(4). Let f = o - 10. What is the remainder when 9 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/5 - (-5 + (-135)\/(-25))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k - 5. Let t be y(-8). Suppose t*l - 3 - 9 = 0. Put 1, l, 2 in ascending order.\nAnswer: 1, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f. Let z(j) = -j**3 + 2*j**2 - 2*j. Let n be z(2). Let i(q) = -q. Let g(b) = n*r(b) + 9*i(b). Give g(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 7:28 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1245 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.0855734915034 and 0.2.\nAnswer: 2.2855734915034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7519\/(-206)*((-3)\/(-45))\/((-4)\/24).\nAnswer: 73\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1659574 or -1659575?\nAnswer: -1659574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = x + 5*t, 4 = -x + 4310*t - 4314*t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1033 = b + 1177. Let f = -1561 - b. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2146247\/1111044 - -2\/25251. Find the common denominator of b and -71\/50.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 12) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 10 = 5*a + 3*b, -5*b = -4*a - 8. Is (4\/(-10))\/(a\/58210 + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322062640?\nAnswer: 2, 5, 4025783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43186 is divided by 183?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*f*w**3*y + 2*f*w**3 - 8217*f*w**2*y**2 - 2*f*w*y - f + 2*w**3*y**2 + 4*w*y wrt y.\nAnswer: -16434*f*w**2 + 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 4*i**5 + 67388*i**4 - 332*i**3 - 5592556*i**2 + 10916536*i - 5391040 = 0?\nAnswer: -16847, -10, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-1212)\/505)\/(12*(-9)\/(-135))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuuiiji. What is prob of sequence juu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (-2178)\/(-110)*(-190)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 33*b + 301. What is g(-16)?\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*z**2 - 82*z - 128*z**2 - 155*z**2 - 540*z + 622*z.\nAnswer: -197*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (133 + 385932\/(-2900))*950\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 41559?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 3*l + 24 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.11301, 3, 0.2, 7\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 81 + -75. Let x = 17 - 14. Find the third derivative of 4*g - 11*g + u*g**2 + g**x + 7*g wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/20 + (-64)\/210. Let r be -7*6\/(-84) + 0. Which is greater: r or y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sggstssssgsm. Give prob of picking 2 s.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -597, -568, -537, -504, -469, -432, -393?\n\"Answer: x**2 + 26*x - 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/35 and -16\/45.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45080 rounded to the nearest one thousand?\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8 + -2)\/1*(-7 - -3). Is q < 676\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 687 - 683. Let a(y) = -y**3 + 6*y**2 + y - 2. Calculate a(l).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(70)*-1 - (sqrt(70)*5*5 - sqrt(70)))\/((sqrt(110)*-1*-5)\/(sqrt(11) + sqrt(44)*-5)).\nAnswer: 243*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15, 2\/9, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n - 69533 - 66855 + 136388.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - 2*l**2 + 3*l**2)*(409*l - 38*l**2 - 409*l + (-l - 2 + 2)*(0 + 2*l + 0)).\nAnswer: 40*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 225 and 1035?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*5\/(-80))\/((-3)\/4).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 - -142. Let i = m + 126. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19420665 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -199, -21, 5, 54 in decreasing order.\nAnswer: 54, 5, 4, 0, -21, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 38980 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 250 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixty-five thirds of a hour?\nAnswer: 78000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 67 = 2*l, -46*o + 74 + 124 = 5*l - 43*o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 8*c**2 + 5*c - 9. Let y(g) = -g - 15. Let i be y(-8). Let l be a(i). Solve 3*n = 4 + l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4442493, -4442482, -4442469, -4442454?\n\"Answer: z**2 + 8*z - 4442502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000057 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 189130741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 3, -0.1, 229661?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b - 511 + 241 = -30*b. Let x(z) = -12*z**3 + 4*z**2 + 5*z. Let l(k) = 13*k**3 - 5*k**2 - 6*k. Calculate b*l(c) + 6*x(c).\nAnswer: -7*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1501, 3001, 4501, 6001, 7501?\n\"Answer: 1500*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, g: 1, c: 1, f: 2, x: 1}. Give prob of sequence fc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 4*u = -754 - 2186, -5*u - 2940 = -3*t. What is the least common multiple of t and 70?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 103 + -3. Let r = o + -46. Calculate the remainder when r is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j + j**2)*(-7*j**2 + 0*j**2 + 4*j**2) + 2*j**4 + 2*j**4 - 3*j**4 + 7458*j + 0*j**4 + j**4 - 7464*j.\nAnswer: -j**4 - 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9114)\/3906*(-114)\/7*-1?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 621 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -45, -77, -95, -99, -89?\n\"Answer: 7*z**2 - 53*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000263195 rounded to 6 decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*((96\/(-20))\/(-3) - 1). Let q(z) = -z**3 - 6*z**2 - 6*z - 2. Let t be q(-5). Let f(n) = n**t + 2 + 3*n**b - 1. Calculate f(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7317, -14636, -21955?\n\"Answer: -7319*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -193, -0.34, 0.2, -104\/37?\nAnswer: -104\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -8 + (1 - 1) + 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**3 + 3*n**3 + 2*n**3 - 2*n**3 + 7*n**3 + 0*n**3 + (-4 + 2*n**2 + 4)*(-n + 0*n - n).\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -799 - -1579. Is 13 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1691536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18805189.\nAnswer: 13, 31, 46663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-2)*(-4)\/2. Solve -2*i = g*a + 8, 2*a = -4 - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 PM and 2:28 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/302 and 95\/18.\nAnswer: 2718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*y**4 + 2615*y**2 - 100*y - 6*y**3 - 2613*y**2 + 93*y + 1 in the form v*y + x*y**2 + c*y**3 + n*y**4 + b and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -41542 plus -3037?\nAnswer: -44579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 38.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 178. Suppose m = -16*i + 20*i. Let w = i - 883\/22. Calculate the common denominator of w and -5\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(10\/3)*(b*b*b*b**(17\/3)*b)\/b assuming b is positive.\nAnswer: b**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) 5 (c) 174\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 + 128*q + 2112.\nAnswer: -4*(q - 44)*(q + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*g**2 + 42*g**2 - 86*g**2 + 7*g**3.\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -35*w**3 + w**2 - 5*w + 20. Let h(q) = 7*q**3 + q - 4. Let z(u) = -2*f(u) - 11*h(u). What are the prime factors of z(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 1\/4*a - 1\/12*a**3 + 1\/8*a**2 + 3 - 1\/16*a**4. What is n in q(n) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqqnqqqnnqnnqrqqnr. What is prob of sequence rq?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 879 or 164508\/187?\nAnswer: 164508\/187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3369 divided by 11\nAnswer: -3369\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -115546 to the nearest one thousand.\nAnswer: -116000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**4 - 3*i**4 - i**4 + (-i**2 + i**2 - i**2)*(-3*i**2 + 3*i**2 - i**2) + 2*i**2 - 2*i**4 - 2*i**2.\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 36 = 4*u. Calculate the least common multiple of u and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -8. Solve 4 + 11 = -z*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67 + 205 - 32)*(58*q + 93*q - 79*q).\nAnswer: 7632*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(128)*1 + 4 + (sqrt(8) + sqrt(2) - sqrt(2)))**2*-4.\nAnswer: -1124 - 720*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3437 (base 9) to base 4.\nAnswer: 213301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1522 and 1271631.\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 424*k**2. Let x(j) = -j**2. What is d(x(i))?\nAnswer: 424*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**2 - 9*m**2 - 2*m**2. Suppose -2*v = 3*b - 1398, -v + 717 - 24 = 3*b. Let s(p) = 2*p**2 - 701 + 1406 - v. Determine s(h(k)).\nAnswer: 392*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 100\/(-1750)*55\/44\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -25 + 1. Suppose -2*n = -4 - m. Suppose -366*d + 6 = -365*d. What is the least common multiple of d and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00013347 to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 14*w - 23. What is the lowest common multiple of 2 and q(11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/2*d**3 + 3\/2*d - 2*d**2 + 9 = 0. Calculate d.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8793.4 to the nearest 10.\nAnswer: -8790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-3))**(-7) assuming i is positive.\nAnswer: i**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*s**3 + 27772*s**2\/3 - 467632*s - 209664 = 0. What is s?\nAnswer: -819, -4\/9, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1722084900 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 5*w - 207, -5*w - 5*m = -0*w - 205. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -124 + 129. Suppose 4*n - 268 = 2*i + 524, 209 = n + k*i. What are the prime factors of n?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 4:14 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4985 and 724.\nAnswer: 5709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*m + 2*m. Let z(b) = -4*b**3 - b**2 - b + 1. What is z(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 11:45 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 6:16 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 1 - 26*q + 7 + 5794*q**2 - 11574*q**2 - q**3 + 5790*q**2. What is h(8)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151618959?\nAnswer: 3, 1871839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -8*j**2 + 2. Let f(t) = -2*t - 982. Give f(g(p)).\nAnswer: 16*p**2 - 986","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 a factor of 8430810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(4*w + 0*w - 2*w) - 146*w + 63*w - 154*w.\nAnswer: -239*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25.4 - 1.8736.\nAnswer: -27.2736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -52173\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2320 and 174?\nAnswer: 6960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -134 - -96?\nAnswer: -9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484941141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 3004\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 11. Suppose -35 = -v*a - 5*f, 3*f = -5*a - f + 31. Let y(t) = 3*t**3 - 3*t**2 + 3*t + 2. Is 13 a factor of y(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3956064 and 310590.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 165364386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -3. Let q(p) be the first derivative of 3*p**4 - 2*p**3\/3 + p**2 - 3*p - 29. Is q(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 4. Let r = 43 - 42.9. What is the smallest value in -0.2, b, r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118662, -118711, -118758, -118803, -118846?\nAnswer: -118887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o**2 + o**2 - 6*o**2)*(5 + 7 + 10).\nAnswer: -242*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, k: 16}. What is prob of sequence kkn?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**2 + 38148*u - 38148*u.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 11*d. Let t = -40 + 44. Suppose t*y + 4 - 12 = 0. Let m(i) = 2*i**2 + y*i**2 - 15*i + 15*i. Calculate m(g(q)).\nAnswer: 484*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = k - 6. Suppose -k*w - 4*b = -2*b + 1511965, -4*b = 0. Let y = w + 212393. Round y to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l + 5*l + l. Let i(m) be the third derivative of m**4\/12 - 224*m**2 + 1. Give b(i(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 0.3, -3\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*16\/(-56))\/(1\/(-7)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-75276)\/(-1071))\/((-2)\/(-21)). What is the highest common divisor of m and 164?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u - 5. Let z be a(-4). Suppose z*m = 10*m - 36. Solve 3*d + 0 - 8 = -j, -5*d + m = j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24683419757.99999922 - -24683419483. Let r = p - -275. Round r to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.692601 times 5?\nAnswer: -28.463005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s + 40. Let l be h(-6). Solve -4 = -4*v - l*o, 0 = -2*o - 0*o - 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 21*r - 12*r = -110 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -0.1116348422?\nAnswer: 5.1116348422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3512*b - 21. Let s(n) = -69069*n - 414. What is 138*m(f) - 7*s(f)?\nAnswer: -1173*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q**3 - 49*q**2 + 123*q + 12. Determine y(-12).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 129, 0, -2, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 1:25 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**6\/20 - k**5\/30 + 19*k**3\/6 - 99*k**2. Find the third derivative of v(h) wrt h.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 31923a?\nAnswer: 319236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + f = -9, 0*f - 4 = -4*f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 + 3*u**2 - 4*u + 12. Let z(s) = -2*s**3 + 2*s**2 - 3*s + 11. What is -3*o(i) + 4*z(i)?\nAnswer: -2*i**3 - i**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5859 divided by 217.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 552 - 25. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00377104 rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 472767 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4 + 120*d**3 - 1750*d**2 + 6000*d - 4375.\nAnswer: 5*(d - 5)**2*(d - 1)*(d + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*g = -0*i + 30, 3*i + 50 = -g. Let m be 2\/(-4)*6*i\/(-216). Let s = 4 + -1. Put 0.3, m, s in ascending order.\nAnswer: m, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 3, 2*j - 2052 = 307*l - 303*l. Calculate the least common multiple of 306 and j.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17662721621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 561194496 to the power of 1\/3, to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 870 and 50?\nAnswer: 4350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1 (b) 812596 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -505*a - 542*a = 818*a + 139875 for a.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**5 - 12*m**4 - 6*m**3 + 24*m**2 + 3*m - 12 = 0. What is m?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 + 7*y**2 + 5*y**2)*(-3*y**2 + 2 + 4*y**2 + y**2).\nAnswer: 16*y**4 + 16*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -57. Calculate the remainder when 421 is divided by y.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170 and 6425.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13862058 to the nearest integer?\nAnswer: 3723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71863, -559847, -1884375, -4463719, -8716151?\nAnswer: -15059943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k**2 - 14*k + 21. Let w = 24 + 3. Let p = w + -34. Is s(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 77076.43 micrometers?\nAnswer: 0.07707643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 619 - 604. Solve -y + 11 = r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79763 is divided by 1012?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003181670035 to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 563351078 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 44\/10 - 4\/10. Suppose y*g - 3*g = 20. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.91631 minutes in nanoseconds?\nAnswer: 3834978600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.54 - -0.8. Let s = v + -0.14. What is s rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3*v**2 + 2 - v**2 + (v - 6*v + 2*v)*(-32 + 3*v + 13*v - 15*v) in the form t*v**2 + b*v + u and give b.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*k - 14064 = 0, -4*s + 5604 = -2*s + 2*k. Is 8 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 15*y**3 + 18*y**2 + 18*y - 18. Let d(j) = -j**3 - j**2 - j + 1. Let c = 50 + -48. Suppose -177 + 213 = -c*f. Calculate f*d(q) - s(q).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -344\/7 and -50 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.66, 8\/5, -1\/3?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 902836.\nAnswer: 2, 11, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8\/14 - (-13430)\/238 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 6*z + 4 + 58, -12*s + 6*z + 72 = 2*z for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*c**2 - 3 - 5*c**2 - 14*c**2 to n*c + o*c**2 + q and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 1) + (-1 - 6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1759*g**3 - 1765*g**3 + 3529*g**3.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -76, -1.3, -31, -994, -3 in descending order.\nAnswer: 0.2, -1.3, -3, -31, -76, -994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-182)\/(-6))\/((-6)\/(-18)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 2*q + 6. Let c be p(5). Calculate the highest common divisor of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 408*s + 3443*s**3 + 401*s - 805*s.\nAnswer: 3443*s**3 + 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-2) + (-4)\/((-16)\/164). Let o = l - 36. Solve -20 = -4*s - o for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6817990, -6817991, -6817992, -6817993, -6817994?\nAnswer: -6817995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 242840 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2134*a**5 + 10*a**4 - 3*a**3 - 24*a**2 - 3*a + 58?\nAnswer: -128040*a**2 + 240*a - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7\/14)\/((-2)\/4). Let q = -630 - -1015. Let w be q\/10 - s\/(-2). What is the highest common divisor of w and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + (-4 + 3 - -4). Solve z = h - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.07 (b) 9 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 35*r + 234. Give b(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 514 - 958. Let n be ((-3)\/(-6))\/((-3)\/b). Let a = n - 31. What are the prime factors of a?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1\/(1 - 508\/512) - -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 19. Let s = 0 - -4. Put 1, m, s in descending order.\nAnswer: s, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 1. Let w(y) be the first derivative of -6*y + 2 + 2*y**3 - 1\/2*y**2. Calculate -5*t(f) - w(f).\nAnswer: -f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112917641, -112917638, -112917635, -112917632?\nAnswer: -112917629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 98598 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1 + 3 + sqrt(684)*-1)**2 - ((-1*sqrt(684)*6 - sqrt(684)) + 5))*-1*-2.\nAnswer: 72*sqrt(19) + 2732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3458, -15757, -36254, -64961, -101890, -147053?\nAnswer: -200462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2. Let o(y) = -33*y**3 - 21*y**2. Let x(n) = 6*l(n) - 3*o(n). Find the third derivative of x(t) wrt t.\nAnswer: 594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0856 - -291232\nAnswer: 291231.9144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -k**5\/20 - 4*k**4\/3 + 7*k**3\/2 - 19*k**2\/2 + 24*k. Is n(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15269*q + 26785 wrt q.\nAnswer: -15269","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.01 greater than -29\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 10892984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*n = 15*n + 78446 - 683324. Calculate the least common multiple of n and 14.\nAnswer: 19334","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 420 - 930. Is (1 - 0)*(4 - -1 - m) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 364*h + 1981*h - 22 - 15*h + 9 + 12 as l + t*h and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 12 = 0, -3326 - 14564 = -5*t - 5*i. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of w**4\/14 + 2*w**3\/21 - 5*w**2\/7 + 6*w\/7 - 8. Factor r(n).\nAnswer: 2*(n - 1)**2*(n + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -7*z - 288. Suppose 13*p = 12*p + z. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 103 - 103.00165. What is g rounded to 4 dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 152*n + 227. Is d(6) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -7*m**3 + 7*m**2 - 4*m. Let r(d) = -3*d + 41. Let n be r(14). Let a(b) = b**3 - b**2 + b. Give n*l(q) - 5*a(q).\nAnswer: 2*q**3 - 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1608571 to the nearest integer?\nAnswer: 1268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2288 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 7*s - 4. Let w be z(6). Suppose x + 2 = w*x. What is j in j**3 + 3*j**2 - j**4 - 2*j**x + 0*j**2 - j**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 6*k**2 - 3 + 3 + 6 + 1 + 5*k.\nAnswer: 6*k**2 + 5*k + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 6. Let r be l(-12). Let t be r\/2 - 7\/(-1). Suppose k + v - 101 = t*v, 4*v = 12. Calculate the greatest common divisor of k and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 121 and (-1 + 238\/(-4))\/(5*12\/(-1320)).\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 564, 565, 566, 567, 568, 569?\nAnswer: 570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**3\/8 - 35961*g**2\/4 - 53802060*g + 971352108 = 0. What is g?\nAnswer: -11996, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79 + 7*a + 40 + 42.\nAnswer: 7*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.25 - 87.25. Let k = o - -89. Which is the closest to 0? (a) -2\/5 (b) k (c) -5\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234010596 is divided by 58502648?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-12)*(-3)\/(-2). Let h be 5 + 2 - (0 - 4\/2). Suppose h*o = 4*o - 5, -2*o = -n + 2. Solve -2*f - x = n, -5*f - x + 1 = r*x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -6*m - 76. Let d be x(-15). Solve -d*b + 26 = -b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*j - 27*j + 22. Suppose b + 5 = -2*t - t, -j = -5*b + 3*t. Let u = 5 - 3. What is the second smallest value in u, 2\/7, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-34)\/(-6) + 3\/9. Suppose -m*u + 1005 - 171 = 0. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a**2*t + a**2*w - 43390004*a*w**3 + 9382724*t*w**3 wrt t?\nAnswer: a**2 + 9382724*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a centimeter in micrometers?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = -2*b, 2*w + 2 = -4*b. What is the third derivative of 8*y**2 + 17*y**3 - 17*y**w + 5*y**4 - 3*y**2 wrt y?\nAnswer: 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 600652686 from -1.9485.\nAnswer: -600652687.9485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 0.2, 14.1, 4\/5 in decreasing order.\nAnswer: 14.1, 4\/5, 1\/2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - o - 4 = -0, 5*o = -10. Let p(u) be the first derivative of 2 - 10 + 4 - 3*u**2 + 2*u**h. Let c(j) = 4*j. Determine p(c(k)).\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40047*h**3 - 65478*h.\nAnswer: 240282*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112497*t - 11780 = -113086*t for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5053466 and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 m when three letters picked without replacement from uuuuuuuuuuuuuuumuumu?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2632 - 1768. Let k = -38013\/44 + l. What is the common denominator of k and 37\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*p**3 + 214458*p**2 - 5*p - 46035?\nAnswer: -18*p + 428916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1215*c - 314*c - 14410 + 14410.\nAnswer: 901*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1584\/(-440) - (-4)\/(-10). Which is the closest to 0.2? (a) l (b) 5 (c) 6 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 20639 and 20632 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -391 (base 14) to base 4\nAnswer: -23023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 12*z + 273. What is w(-28)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -203894435941 - -2.\nAnswer: -203894435939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.078, 0.0753, -1 in decreasing order.\nAnswer: 0.0753, -0.078, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 192397\/12 + -16026. Calculate the common denominator of f and 119\/888.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s - 6*s = -522. Suppose -r - t + 14 = -4*t, r = -2*t + s. Calculate the remainder when 41 is divided by r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 9015495\/4 and 2253874 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a629188 - 5?\nAnswer: -3a629191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a95 (base 14) to base 15.\nAnswer: -1675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -242877*g**2*t + 126554189*g**2 + 14*g*t wrt t?\nAnswer: -242877*g**2 + 14*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 7:08 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c. Let p(u) be the third derivative of 19*u**4\/24 - 9*u**2. Determine k(p(o)).\nAnswer: 19*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, f: 6, u: 1, c: 3, l: 5}. What is prob of picking 1 l and 1 u?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 4:57 AM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 2) + (-57 - (13 - 64)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24404 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19 and 8370?\nAnswer: 159030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -247.74 + -6.26. Let z = w + 259. Which is the second biggest value? (a) -30\/7 (b) z (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*3)\/(0 - 30\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 113980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11 in -0.3, 0.1, -7, 0.09133?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j - 19*j = 384. Let h = -22 - j. Suppose -14*l + 100 = -10*l. Calculate the remainder when h is divided by l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*p + 2*s + 3 = 178*p, 0 = 4*p + 2*s - 22. What is the biggest value in 0.1, p, -4, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -3. Let w(j) = 6*j - n*j**2 - 1 + 0*j**2 + 3*j**2. Let b be 5 - 2\/(-2)*(-1 + 0). Give w(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 695397427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 10*u**2. Suppose -15 = k - 7. Let y = k + 10. Let q(w) = 4*w + 0*w - y*w. Give d(q(l)).\nAnswer: 40*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6120831?\nAnswer: 3, 19, 73, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -2, 5, 4, -7, -4080 in increasing order.\nAnswer: -4080, -7, -5, -2, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -542 - -561. Suppose -2*w - 5720 = -5*g, -5750 = -5*g - 23*w + s*w. Is 37 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -741 + 7*g + 393 + 348 + 20*g. Let v(f) = 1 - 1 - 2*f. What is o(v(j))?\nAnswer: -54*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -272*g**2 - 44156*g - 349272.\nAnswer: -4*(g + 154)*(68*g + 567)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -9*p**3 - 114*p**2 + 10*p - 37. Calculate the smallest common multiple of 850 and s(-13).\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -6800 - r**3 + 4*r - 6*r + 2*r**2 + 4*r. Let c be w(0). What is c rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/241 and -34\/3?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 291920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -2422?\nAnswer: -2423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1877415 to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129*u**2 - 28*u**2 - 59*u**2.\nAnswer: 42*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, -5, 4, -21089, -1\/7 in increasing order.\nAnswer: -21089, -5, -5\/4, -1\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*k*s**2 + 196*k*u + 113*s**2*u + 140*s**2 + 3*s wrt u.\nAnswer: 196*k + 113*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -171*j - 129668 + 128813 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -165 and 1?\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/15*i**2 + 0 + 2\/15*i + 2\/15*i**3 = 0 for i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3)**20 assuming z is positive.\nAnswer: z**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413400.\nAnswer: 2, 3, 5, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -60*z**2 + 20*z**2 + 21*z**2 + 20*z**2. Let v(r) be the third derivative of 3*r**5\/20 + r**2. Calculate v(m(w)).\nAnswer: 9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.5, -5, 5\/19, -115, -1\/5 in decreasing order.\nAnswer: 3, 5\/19, -1\/5, -0.5, -5, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0294838 centimeters to meters.\nAnswer: 0.000294838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.39 - 3.38991975. Round d to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (130\/(-143) - (-1593)\/(-99)))*45\/20.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 + 48. Let y(h) be the first derivative of 14 + 3*h**3 - 2*h**3 + 2*h - l. Differentiate y(d) with respect to d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 22 = 4*u. Let s(z) be the second derivative of -z**4\/12 - z**3 - 3*z**2 - z. Give s(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.021 to one decimal place.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 3*a**2 - 4*a - 2. Let v be b(-2). Suppose v*s = 5*d - 740, 874 = 5*d + s + 119. Round d to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 2*u + 3*u + 9, -3*u = 3. Factor 10\/3*r**z + 2\/3*r**3 + 8\/3 + 16\/3*r.\nAnswer: 2*(r + 1)*(r + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 99.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -157904 > -157903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1563, -12427, -41903, -99297, -193915, -335063, -532047, -794173?\n\"Answer: -1551*p**3 - 7*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6873266 and 170846.\nAnswer: 89352458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 664 - 1?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1536)\/14*((-33 - (-1 - 6)) + 5). Calculate the greatest common factor of 198 and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 PM and 9:18 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -104*v**4 + 20*v**3 - 2*v - 43795 with respect to v.\nAnswer: -416*v**3 + 60*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -359*v**4 + 9*v**3 - 9*v**2 - 9*v + 473. Let r(h) = -h**4 - h**3 + h**2 + h - 2. Let i(t) = -2*d(t) - 18*r(t). Differentiate i(u) wrt u.\nAnswer: 2944*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 10125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*b + 4*t, 5*b - 3*t = 2*b + 15. What is the lowest common multiple of b and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7873405615 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((39*a - 30*a + 16*a)*(4 - 3 - 2) - 4*a + 5*a + 0*a)*(-1 + 1 - a**2).\nAnswer: 24*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -608304 and 0.4?\nAnswer: -243321.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*y + 2989 = 2*n, 2*n = -2*y + 1996. Suppose t + 15*w = 14*w + y, -t + 977 = 5*w. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-6)*i**1)\/(i**(-4\/5)*i)**(-3\/8))**11 assuming i is positive.\nAnswer: i**(-2167\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do -17\/10504698 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38987\/12780 + -2\/3195. Calculate the common denominator of h and 89\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -0*h + 3*h. Let y be (-468)\/(-21) - 8\/28. Let f(x) = -y*x**2 + 23*x**2 - 3*x - 6 + 8*x. What is f(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5574 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l - 63. Determine q(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 5\/3, 3\/2, -30?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -213 - -209. Let u = -16 - -21. Let r = -0.5 - 1.5. What is the nearest to 1\/4 in c, r, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 147 - 288 + 139 - 4*c**2 + 3*c. Determine r(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 12:01 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -2\/9 (b) 0.1 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-36)\/24)\/((-1)\/2). Let g be 0 + (1 - 2 - -1). Suppose -4*u - 4 = g, 3*q - 252 = w*u - 0*u. Does 24 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3001 (base 4) to base 10\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -3, -1\/9, 3, -0.6?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 6*y - 92. Suppose 10*k = y*k - 559. Let p = k - -18. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/1499 or -7?\nAnswer: -2\/1499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k**2 + 4*k - 3. Let m be p(-4). Calculate the highest common divisor of 203 and m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 8*n**2 + 27*n + 42. Give i(-10).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -13*d**2 - 1709*d + 930. Determine t(-132).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 92430.59 litres?\nAnswer: 92430590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/5 - ((-37093)\/264845 - (-18)\/(-423)).\nAnswer: 18\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -1. Suppose 0 = -24*w - 4*w + 28. Let f(i) be the third derivative of -i**5\/60 - i**4\/12 + 5*i**3\/6 - 4*i**2. Give w*f(r) + 3*v(r).\nAnswer: -r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 - 192*r + 401. Determine w(94).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8065.\nAnswer: 5, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v**3 - 4*v**2 + 4. Suppose 79 + 133 = 137*z + 75. Give g(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-20 + -24)) + -95.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9067583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*q**4*t - 6715*q**4 + q**3*t - q**3 + 2*q**2 + 27335571*q*t wrt q.\nAnswer: 600*q*t - 161160*q + 6*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 7) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1272145487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 3:21 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2184 and 750?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -3*f - 15, -3*x - 46 + 16 = -4*f. Let h(t) = -4*t - 14. Let w be h(x). What is the highest common factor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1100) + 1 + sqrt(1100) + 4 + 1*sqrt(1100) + -4 - ((sqrt(11)*-1*3)**2 - 5*(sqrt(11) + 1)).\nAnswer: -93 + 35*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 482236533.\nAnswer: 3, 53581837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 178 by -3.\nAnswer: -178\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2*5*(-6)\/12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 0*v - 8 + 2\/3*v**3 + 0*v**5 + 0*v**4 + 0*v**6 + 2\/7*v**7 + 0*v**2. What is the third derivative of f(l) wrt l?\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 30 = 3*d - 4*o, 0 = -o. Suppose -6*p = -d*p. Suppose p = 4*b - 21 - 15. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3063 + -2882. What is the remainder when b is divided by 62?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081268 at least as big as -46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 521\/13 + (1048\/(-104) - -10). Let d be (-6)\/(-3)*(-1 + -21). Let w = d + h. Let u(f) = -f**3 - 4*f**2 - 2*f + 1. Determine u(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 518497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 13*x**2 - 14*x + 7. Let f be i(14). Solve f*d + 15*d = 66 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 1220 = -4*i, 0 = -3*f + i - 2517 + 701. Is f <= -605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -1\/4, -19\/5, 2\/7?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 6067367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/(-8))\/(3 + -2). Let m(l) = 2 - 22*l + l**w - 36 - 12. Let n be m(24). Solve -6 = -i - 2*k - n*k, k - 3 = -i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17293, 34575, 51843, 69091, 86313, 103503, 120655?\n\"Answer: -c**3 - c**2 + 17292*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 25*x**2 - 25*x - 14. Determine q(-26).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1228563?\nAnswer: 3, 7, 19501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 0 + 0*q + 2*q - 1. Let g be p(5). Let z be (-4)\/1*2\/g. Sort -5, 0, z.\nAnswer: -5, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -326 - -483. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h - 4157 = -199*h + 1266 for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**2 - 2*u**4 + 2*u**4 + u**4 - 2*u**4 = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*(sqrt(5600) + -1*sqrt(5600)))\/(sqrt(648)*-2*5 - sqrt(648)*-1*6) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 192\/36 - (-2)\/3*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 8, s: 4, w: 7, g: 1}?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 419 = -589. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h**3 - h**2 + 4*h + 1190. What is the units digit of b(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*1*-1)\/(sqrt(42)\/(sqrt(6) + sqrt(24)\/sqrt(4) + sqrt(6))) - -5*(2*sqrt(171))\/sqrt(9)*-5.\nAnswer: -53*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14208 - -14202.525. Round w to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42148 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 880 and 3751000.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*((2 - 3 + 2)*(3*s + 0*s - 4*s) - 3*s + 2*s - s + (-2*s - 8*s + 4*s)*(-5 + 2 + 5))*((4 + 0 - 5)*(-31 - 1 - 1) + 0 + 2 - 1).\nAnswer: 1020*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of r**5\/120 - 3*r**4\/8 - 11*r**3\/3 + 97. Let y(f) be the third derivative of d(f). What is y(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28382 - 11456 = -6*k. Let x = -1360 - k. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (735\/(-119) - -6)\/((-6)\/4)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*o + 2*o - o + 19*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 5:47 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -4. Suppose l*o + 36 = 4*o. Suppose -9*t + o = -9. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -147 (base 10) to base 4.\nAnswer: -2103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 283, 314, 359, 424, 515, 638, 799, 1004?\n\"Answer: d**3 + d**2 + 21*d + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*x - 3*z - 4 = 0, -2*x = 3*z - 1. Suppose -g = -4*w - 1722, -g - g = x*w + 2146. What is w rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 - 239?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(-1)\/12)\/(1\/(-18))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -h + 2*h. Suppose h*q = 18 + 12. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -124?\nAnswer: -496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -786001*i. Let t(p) = 2*p**2. Give j(t(x)).\nAnswer: -1572002*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**4\/7 + 13*i**3\/7 + 1359*i**2\/7 - 16837*i\/7 + 7030 = 0.\nAnswer: -37, 5, 7, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**3 - 2612*o**2 + 1288*o**2 + 1117*o**2 + 3 in the form u + h*o + g*o**2 + j*o**3 and give g.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1266493611 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.25 in -32\/31, -11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + g - 337 = 4*x, -4*x + 3*g + 1369 = 0. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -236 + 961\/4. Sort s, -1, -4, 4 in increasing order.\nAnswer: -4, -1, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1491048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007807 rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.64 + 12. Let k = 0.06 - s. Let m = -3.03 + 0.03. Sort k, 3\/7, m in increasing order.\nAnswer: m, k, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 1 = 4*k + 27, 0 = -4*k - 3*y - 24. Suppose 0 = 2*r + 2*x + 34, r + 1999 = 3*x + 2026. Sort k, r, 0 in increasing order.\nAnswer: r, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 15*g**2 + 13*g - 14. Let p be (14\/(-3))\/((-1)\/(-3)). Let r be v(p). Let y be 11\/4 + 2\/8. Solve 3*k - y = -r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.450583 and 484.18.\nAnswer: 483.729417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aoaynonnarnnrunay. Give prob of picking 2 n and 2 y.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**4\/4 + 7*r**3\/6 - 3*r**2\/2 + 3*r. Let q = -186 - -191. Does 16 divide t(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 1:41 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9 and -11544?\nAnswer: 11535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 382*q**2 + 13*q - 41. Let f be x(-31). Suppose 0 = 35*o + 59393 - f. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 + -2 - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 555 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-3 - (-138 + 144))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 221 and 55760?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152955 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.2, 3, -67, 2\/3.\nAnswer: -67, -0.3, 0.2, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 + 22 + -61 - (8 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = -9*z + 64. Let l be (6\/z - 0)*10. What is the highest common factor of l and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3e - -24e?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 24*n**2 + 259*n + 6217. Give j(-24).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifttfifftitiiffifff. What is prob of picking 1 t and 1 i?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, -1\/7, 1\/18, 539, 1\/3?\nAnswer: 539","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 2.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/69 and (-2)\/((-144)\/(-507)) - (-3 + -1).\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 198186*v - 5351040. What is a(27)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/48*-3)\/(-13*9\/(-117))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**4\/6 + 19*c. Let h(b) = -9*b. Determine q(h(n)).\nAnswer: 162*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + ((sqrt(242) + 1 - sqrt(242)) + -1)*5 + -5)*2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.22302 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 6 - -1) + (-13 - (7 - 16))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 8:33 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6573 is divided by 6502?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/13)*m\/m**(-1)*m)\/(((m\/m**(-2\/3))\/m)\/m*m**(-8)) assuming m is positive.\nAnswer: m**(436\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -8*m**2 - 235*m - 464. Calculate w(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (-3 - 150) + 105.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -302*(3 - 35\/10) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -1737584.\nAnswer: 5\/1737584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**3\/2 + 199588*a**2 - 19917684872*a = 0.\nAnswer: 0, 199588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2768440 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 352 + 815. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8767876213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*b**6 + 17*b**5 - 116*b**2.\nAnswer: -480*b**3 + 1020*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -6. Let c be (-5)\/(-25) + 24\/y. Solve -2*n + 10 = -d, -n + 0*d = d - c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2 - (-465)\/45) + -1 - 18)*99\/(-6).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33000 + 211?\nAnswer: 33211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p**4 + 28*p**3 + 62*p**2 - 84*p = 0. What is p?\nAnswer: -7\/3, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 138 and 15387?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - -1 - 11)*-1. Let z = w - 16. Let y be ((-140)\/z)\/((-4)\/(-132)). What is y rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*d = -16*d - 336 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -291, -265, -239, -213, -187?\n\"Answer: 26*h - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 159*j**2 + j - 3. Let n be (9\/(-12))\/(3\/(-8)). Is y(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.5 - 5.1. What is h rounded to 0 dps?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**(1\/3)\/l)\/l)\/l*l**(3\/2))\/(l*l**(-1)*l*l*l*l*l\/l**7))**(-48) assuming l is positive.\nAnswer: l**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/63*-43)\/((-37)\/((-2849)\/66)).\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbgggmwggwg. Give prob of sequence gbmb.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1. Suppose 4*m - 5*m + 10 = i. Solve -o + 4*q = -2, 3*q + 0 + m = 5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2434, 2274, 2012, 1654, 1206, 674, 64?\n\"Answer: f**3 - 57*f**2 + 4*f + 2486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*g - 1 - 43*g - 44*g + 1.\nAnswer: 28*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 10*d = -59*d - 61 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 3*b**2 - 8*b + 5. What is the remainder when 58 is divided by a(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39744 and 33.\nAnswer: 437184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and 1816453522.\nAnswer: 1816453517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f - 11*f - 3 - 16*f + 0 + 12*f.\nAnswer: -11*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(144\/15)*(-4266)\/(-29625)?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -2*h, 9*h - 10*h + l = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 166*l**2 + 161*l**2 - 326*l**2 + 67. Let f be -2 - 2\/(-3)*3. List the prime factors of m(f).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1860\/160 + 15\/(-24) + 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 8500319.9 to the nearest one thousand.\nAnswer: 8500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2547*s - 67263 = -656*s for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87051460?\nAnswer: 2, 5, 4352573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136996?\nAnswer: 2, 29, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.95 + 80956983.3?\nAnswer: 80956981.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -t - 5*f, -117 + 21 = 16*t - 4*f + 112 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.19 - 0.39. Which is the nearest to 0.3? (a) 5 (b) d (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 64*a**5 - 8*a**4 - 75*a. Let h(u) = 43*u**5 - 5*u**4 - 50*u. Let l(s) = 8*h(s) - 5*z(s). Find the second derivative of l(f) wrt f.\nAnswer: 480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 12:16 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -3313.255893 to zero decimal places.\nAnswer: -3313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**4 - 110*p**3 - 386*p**2 + 478*p + 8. Let y(c) = c**4 - 73*c**3 - 257*c**2 + 319*c + 5. Let s(u) = -5*x(u) + 8*y(u). Factor s(b).\nAnswer: -2*b*(b - 1)*(b + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 1. Suppose 4*f - 5 = 15. Calculate the lowest common multiple of (f + -20)*u\/(-6) and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 201 + -94. Let m = x - 73. List the prime factors of m.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4725*u + 6 - 11 + 3 - 3 + 6 as p*u + r and give p.\nAnswer: -4725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 131815 - 2377447 = 3*m. Let q = -1678544 - m. What is q rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -9*b + 9. Let m be (4\/(-3))\/(4\/(-6)). Suppose -m - 3 = s. Let g(c) = -14*c + 14. Determine s*g(a) + 8*k(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7 - -12 - 3\/(-1). Let n(g) = 4*g**2 + 0*g**2 - 2*g**2 - u*g**2. Let s(x) = -27490 + 27490 - 2*x. Calculate n(s(c)).\nAnswer: -80*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 23, -2, -6, -1\/3, 4815 in ascending order.\nAnswer: -6, -2, -1\/3, 3, 23, 4815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3743?\nAnswer: 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -g**4 + 3762*g**3 + 137719*g**2 - 3762792*g - 3896748 = 0.\nAnswer: -54, -1, 19, 3798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22.42 + 22.2. Let v = c + 0.2249. What is v rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8710, 4, 5, 25 in ascending order.\nAnswer: 4, 5, 25, 8710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2114735*m*s**3 - 93*m*s**2 + 18*m*s - 2*s**6 + s**2 - 459*s wrt s.\nAnswer: 12688410*m - 240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*j - 18*j - 180. Let f = j + -73. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 0, 47961, 5, -5 in descending order.\nAnswer: 47961, 5, 0, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.670347 rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*h + 84*h - 990 = 0. What is the greatest common divisor of 16 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 21. Let g be r(26). Sort 0, g, 2, 4 in decreasing order.\nAnswer: 4, 2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 11 = -5*s + 4*s, 5*s + 2*o + 29 = 0. Which is greater: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.4 - -10.3. What is the nearest to s in 2, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5551245757?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 16) in base 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 26. Let w be g(-31). Suppose -4*d + 1326 = -3*j, 3*j = w*d - 8*d + 1005. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/35 and 3\/2660?\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -105573 or -105572?\nAnswer: -105572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -9*f**2 + 10*f + 318. Let g(j) = 8*j**2 - 8*j - 327. Give 4*g(w) + 3*v(w).\nAnswer: 5*w**2 - 2*w - 354","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 14) in base 9?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (14 + -4) - (14 + (3 - 11)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -637979 and 0.4.\nAnswer: -255191.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 15, -3, 24, -1, 5.\nAnswer: -12, -3, -1, 5, 15, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 q, and 1 a when three letters picked without replacement from pahqhebbbbehbhhh?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 262515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-35)*(-3)\/(-18).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 + (-21 + -17 - 33)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 52 = -4*x, 0 = -4*x - 2*o - 0*o + 60. Suppose 35*l - 37*l = -x. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 0. Let o = -0.23 - 0.87. Let k = 1 + o. What is the biggest value in k, 4, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 6, p - 6*p + 25 = 2*c. Suppose c*d - 3*o = 15, 5*o = -d + 2*o - 15. Which is smaller: d or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18386 or 18535?\nAnswer: 18386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-151*x**4 + 42*x**4 - 114*x**4 + 15*x**4)*((x - 2*x - x)*(0 - 1 + 2) + 4*x - 4*x - x).\nAnswer: 624*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0.02, 4\/3, -0.2, -44, -1\/27?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(27)*2*-3)\/((-2*sqrt(54))\/sqrt(6)) - 5*(sqrt(9)\/sqrt(3) + 0 + 5)))**2.\nAnswer: 120*sqrt(3) + 912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3259, -2\/41, 2?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 100 = 26*o, -302 = w - 5*o - 276 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - 2 - (65 - 70 - (0 - 18)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 253329*l + 3. Let a be (-18)\/3*(-1)\/2. Let v be t(a). Suppose -3*p + 3*k = -k - 2279992, -p + 5*k = -v. What is p rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/6)\/((-13)\/39)*5. Suppose y*g - 6 = -g. What are the prime factors of (-1 + 0)*g + 128?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*1\/8 - 633\/12. Let p = z - -53. Does 31 divide 60 + (p - 6\/(-6 + 3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22*26\/3003*21.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 11 = -5*c - 4*j, 5*c + 33 = -3*j. Is (-6)\/c*258\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m - f + 4, -657*m + 653*m + 6 = -2*f for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -6 + 4 + (5 - 13).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -l - 2*l - 973, 2*i - 978 = -2*l. Suppose -18598 = -54*d - 4504. Let y = i - d. What are the prime factors of y?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 16*h**2 - 4*h - 49. Let c be v(15). Suppose -c*b - 957 = -145*b. Let p(f) = 8*f + 5. Calculate the least common multiple of b and p(5).\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83998 is divided by 165.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2 - 2 = -3*g, 3*u = 4*g + 3. Suppose -3*l + 4*m = -1, 0*l - 4*l + 5*m = -2. Let t = l - g. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 12*c - 2*q + 13 = 0, -3*c - 20 = 5*q. Let w = -0.02 + 0.42. Let g be (-16)\/(-30) + (-2)\/6. What is the nearest to -2\/7 in c, w, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from jjjjjjjjjjggjjgj.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - 0 - 1242\/(4 + -7)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 26\/4 + (-1)\/(-2). Let z = s - 4. Solve z*t = -1 - 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 2. Suppose d*f + 2478 = -5522. Round f to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -105 - -108. Let v = -44 + 47. Solve -9 = -4*h - 3*l, 5*h - m*l - v = 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -807652 (base 9) in base 10?\nAnswer: -478028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 807.431 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = s - 90. What is the lowest common multiple of 11 and s?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*w + 2 = -4*w, -13 = 4*a + w. What is the tens digit of 18\/(4 + -3) + a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1080) + 1*-1*sqrt(1080)))\/(-2*sqrt(60)\/(sqrt(36)\/sqrt(6))*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 0 + sqrt(68) + 4)*5.\nAnswer: 20 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.45 - 32.45. Let y = -31 - s. Let d be 25\/(-18) - (-6)\/4. Which is the nearest to -4\/5? (a) 0.4 (b) d (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 599388597 by -334667.\nAnswer: -1791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i**2 - 3*i - 12. Let o be a(-4). Let r = o + 66. Solve 2*b + 3*g = 1, 5 = b - r*g + 5*g for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/33 in -2, 0.2, 19\/4, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3)*(79\/(-158))\/((-1)\/(-2)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, 3, -0.25, 0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (-1 - -1))\/(2\/(-42)). Let l = 9 - v. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19\/15 + 13\/5. Let k = 1787\/12 - 149. Which is the biggest value? (a) 3 (b) k (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46451.\nAnswer: 46451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4048949461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 141\nAnswer: -1\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -47\/108696 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 u, and 1 c when four letters picked without replacement from fqtuccqu.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 311570*-17.9\nAnswer: -5577103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46635 and 640.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2458 by 3.\nAnswer: 2458\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1765979441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**2 + 27764*x + 305646 = 0.\nAnswer: -11, 13893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2044318 and -216.\nAnswer: -216.2044318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 69*j**2 - 32*j**2 + 2*j + (-2*j - j + j)*(-2*j - 2*j + 3*j) - 38*j**2 - 13*j**2 - 29*j**2)*(-1 + j**2 + 1).\nAnswer: -41*j**4 + 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**2 - 2*p**5 - 5*p**2)*(29 - 597 + 173 - 239).\nAnswer: 1268*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**4 + 4*h**4 - 3*h**4 + (-5 + 5 - 4*h**2)*(2*h - 2*h**2 - 2*h).\nAnswer: 10*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 496 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*-325016.\nAnswer: -227511.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(6\/13))**10)**30 assuming h is positive.\nAnswer: h**(1800\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*h + 3. Let a = 1 + 0. Sort a, 4, h in decreasing order.\nAnswer: 4, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 10 = 4*l + 2*s, -l - 2 = -2*s. What is the greatest common divisor of 24 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + s - 2*s)*(3*s**2 - 2*s**2 + 0*s**2)*(-1 - 8 - 1 + (-4 - 2 + 4)*(-1 + 5 - 2) + 4 + 3 - 5).\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 6*g - 50. Let m be c(9). Let i be 1 - 0 - (1 + -2). Let k = 63 + -58. Solve 0 = 4*d - 3*w - 15, i*d + 25 = m*d - k*w for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (77 - 83) + (2 + -9 - (-16 + -2 + 6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z = 246. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 21. Let a(b) = b**2 + 4*b - 5. Let o be a(-5). Suppose -2*z - 5*c + 2*c + p = o, -3*c = -3. Solve -4 = z*n + 2 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - (sqrt(17) + -1)**2) + 0 - sqrt(17)) + -6*sqrt(68)\/sqrt(4).\nAnswer: -18 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + 9. Let p be 1\/(1*(-4)\/124). Let z = 51 + p. What is the greatest common factor of z and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -5*x**9\/56 - x**6\/120 - x**5\/60 - 23*x**3\/6 - 6*x**2 + x. What is the third derivative of h(r) wrt r?\nAnswer: -5400*r**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 - 17*s + 12. Let i be y(-9). What is the highest common divisor of i and 127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 631, 1132, 1771, 2548, 3463, 4516, 5707?\nAnswer: 7036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 7. Calculate v(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5, -17, -41, -83, -149, -245?\n\"Answer: -t**3 - 5*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 1268?\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - 0. Let g = n - 5. Let k = g + 9. What is the second smallest value in k, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b6 (base 12) to base 2.\nAnswer: -10001111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, s: 1, x: 4, v: 3, o: 2}. What is prob of picking 1 s and 2 o?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -17*s - 122. Let l(p) = -240*p - 1725. Let q(g) = -85*a(g) + 6*l(g). Calculate q(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*o + 4. Let f be o*92\/((-4)\/1). Let n = 45 - f. What are the prime factors of n?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 5)*((-285)\/(-18))\/5. Let z be (-1)\/((-3)\/18) - (19 - k). Solve 5*a = -5*u + 5, 5*a = 2*u + z + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 3*f = -18, 44*i - 49*i = 5*f + 30 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 227*t**2 - 695*t + 1165. Determine i(230).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -297 + 282. Let f be (l + (-948)\/(-60))*(-5)\/(-2). Let -2\/13*m**f - 20\/13 - 14\/13*m = 0. What is m?\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236 divided by 2.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 30660941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.18 and 75320?\nAnswer: -13557.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -17. Let y = l + -6. Let b = y + -5.88. What is b rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7360 divided by 460\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -433 + 118 + 161 - ((0 - (2 + -2)) + -3)?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*c**4 + 4776*c**3 + 275798*c**2 - 1951584*c + 736200 = 0. Calculate c.\nAnswer: -409, -75, 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10.7180309 and -2.\nAnswer: 8.7180309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12400 and 167152.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 5*i + 25, 3*u + 0*u = -5*i - 25. Let p = 360 - 623. Let g = p - -267. Put -4, g, u in increasing order.\nAnswer: -4, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/186 - (-109920)\/830583 - (-10087)\/91.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.05 - 1. Let u = 299.2 + -295.2. What is the third biggest value in -0.1, l, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12743023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50.3 + -47.3. Let z = -0.22 - -5.22. Let b be 2\/(-4) + 0\/(-1). What is the nearest to b in f, z, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/77?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*h + 4*h + 0*h + 2*h to k*h + r and give k.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -3*h**7\/35 + 11*h**6\/120 + h**5\/60 - h**4\/3 - 209*h**3\/3 - h**2 + 261*h. Find the second derivative of k(a) wrt a.\nAnswer: -216*a**2 + 66*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -670.69 - -10.69. Let x = v - -656.97. Let r = -0.97 + x. What is the smallest value in 0.4, -1\/7, -3\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143871 divided by 8463\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -284, -1099, -2446, -4319, -6712, -9619, -13034, -16951?\n\"Answer: c**3 - 272*c**2 - 6*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 106051261*c**3 + 35215*c + 78 wrt c.\nAnswer: 636307566*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-54))\/(295\/354)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7446300 divided by 7\nAnswer: -7446300\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -169, -678, -1513, -2668, -4137?\n\"Answer: c**3 - 169*c**2 - 9*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/14)\/(1\/14). Let v be 8\/d*(-63)\/(-6). Let y = 20 - v. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 7*s**6\/30 - s**3\/2 - 9*s. Find the second derivative of q(d) wrt d.\nAnswer: 84*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 + -3.8. Let d be (8\/70)\/(2\/5). Let p = -26 + 157\/6. Which is the smallest value? (a) p (b) f (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 133 + 17 = -3*u - 3*w, u - 35*w = 940 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/1*(-116)\/116.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -13. Suppose -j*h + 2063 = 2*r, -5*r + 0*r - 3*h + 5153 = 0. What is r rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1879461684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*c + 24 = -17*r + 15*r + 126*c, 4*c = 12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vcvaqcvvcvccacqvccq. What is prob of sequence vcac?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338761.\nAnswer: 338761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -38 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.05 (b) -1 (c) 5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 11*i**5\/20 + i**4\/8 + i**2 - 10*i. Let x(k) be the first derivative of t(k). What is the second derivative of x(v) wrt v?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2402372 by -119.\nAnswer: 20188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -318 (b) 2 (c) -3\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8986 is divided by 4458.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 183126.29885 - 183172.3. Let h = a - -46. Round h to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1539) - ((-2 + sqrt(1539) + 0)**2 + sqrt(1539))).\nAnswer: -1542 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + -6*(-16)\/12. Let d(l) = 3*l - 4. What is the tens digit of d(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46504, 46544, 46608, 46696?\nAnswer: 46808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4737d - -3?\nAnswer: -4737a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 23*b**2 - 2*b + 50. Give j(23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l. Let b(n) = 86*n - 1. Calculate -b(w) - 6*v(w).\nAnswer: -92*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**5*y*y**(1\/68) assuming y is positive.\nAnswer: y**(409\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/9)*l*l)**(41\/2))**(4\/3) assuming l is positive.\nAnswer: l**(1640\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/14)\/(6\/(-21)))\/(2460\/80).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6 = 3. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5 = 65. Suppose -2*r = -5*r + h. Solve r*g = -4*w + 15, 0*w + g + 26 = 5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8291325.721 to the nearest one hundred.\nAnswer: -8291300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -349*k**4*p + k**4 + 32796*k**3*p - 130*k**2*p + 3*k**2 + 20*k*p - 3*k + 14*p - 2 wrt k.\nAnswer: -8376*k*p + 24*k + 196776*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02 - 0.42. Let u = -1900.1 + 1895. Let r = u + y. Round r to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 924\/385 - (-210)\/(-75)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 159, 250, 361, 498?\nAnswer: 667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -7 (b) -0.37 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 562.157 - -9.\nAnswer: 571.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fsjp when four letters picked without replacement from yyypspssfeeyeyj.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7374641 - 3555213. Let l = o - 3819513.000018. Let y = 85 + l. What is y rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20152?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -27857, -55607, -83129, -110309, -137033?\n\"Answer: 19*j**3 - 27883*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-10)*(-90)\/12. Which is the nearest to 2? (a) -3\/8 (b) -4 (c) u (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -t - 479. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + q - 26. Let r = -34 - -23. Let y be m(r). Let u be y\/(-18) + -1 + 114\/513. Solve -2*x - u = -0*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (395\/(-79))\/((-1)\/4). Suppose 3*k + j = -i + 5*i, -5*k - 26 = -3*i. Determine l, given that -5\/2*l**i - 5\/4*l**3 - 5\/4*l + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t - 494 = 3*t. Suppose t*a = 15*a + 13156. Is 26 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.38 - -0.38. What is the third biggest value in 0.3, b, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - ((-86)\/(-14) + (-36)\/(-42))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 180*s**4 + 19808*s**3 - 819380*s**2 + 4133424*s + 185328 = 0.\nAnswer: -143, -2\/45, 6, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*x - 1 = 1, 0 = 2*a - x - 10. Suppose 0*r + a = 4*r. Let s be (-6)\/(-2 - r) + 30. What is s rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of 28*h**2 + 0*h + 13\/24*h**4 + 0*h**5 - 1\/120*h**6 + 0 + 0*h**3. Find the second derivative of g(p) wrt p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 30*b = -31*b - 1643, 0 = -5*t + 2*b + 2740. Calculate the remainder when t is divided by 180.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5*y + 193 - 23, 2*y = 3*m + 87. Let c = m + 56. Is 25 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - o - 7. Let v be c(0). Let s be 2474\/v - (1 + 0). Let j = s + 355. What is the common denominator of 9\/8 and j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2296770 divided by 5?\nAnswer: 459354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 11:25 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1643.\nAnswer: 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 206, 403, 590, 761, 910, 1031?\nAnswer: 1118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -5*b - 17, 2*o = -0*o + 5*b + 11 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 31, 1, -8 in decreasing order.\nAnswer: 31, 3, 1, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -13*t**2 + 1. Let u(z) = 2*z**2 + 1. Calculate -5*u(d) - x(d).\nAnswer: 3*d**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3 - 4*o + o**3 + 147*o**2 - 147*o**2. Let m(x) = x**3 - x + 1. Give 3*m(u) - t(u).\nAnswer: 2*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 221, 214, 207, 200, 193?\nAnswer: 186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 3223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1524 + 16633.107223.\nAnswer: 15109.107223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14994.69 millennia to decades.\nAnswer: 1499469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -229058 and 0.275.\nAnswer: -229057.725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 180*m**2 - 1374*m + 8274. Is f(6) a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0550425205 rounded to 4 decimal places?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 1 = 4*p - 9, 3*p = 4*v - 22. Let l be p\/(-7) - (-24)\/14. Is 4\/7 smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {o: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 56219.95 to the nearest one thousand.\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d**4\/5 + 222*d**3\/5 - 5268*d**2\/5 - 20160*d = 0. Calculate d.\nAnswer: -48, -14, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3 = -2*v + 19, -s - 4 = 4*v. Suppose -3*q = -0*q - 6. Suppose v*j = q*j. Solve j = 5*z - 12 + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*l = -6. Suppose 9*q - 10 = 26. Suppose -5*x - q = 11. Sort -4, l, x in descending order.\nAnswer: l, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7532 divide 1402413208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/44 and 21\/119358872.\nAnswer: 1312947592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 220 - 217.87. Let d = s - 0.13. Which is the second biggest value? (a) 5 (b) d (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 361 + -356. Suppose 4*s = -3*q + 8*s + 2752, -3*q + 2716 = b*s. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-4 - (2 + 10 + 0))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3784.487 tonnes in nanograms?\nAnswer: 3784487000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 + -13. Let x = -31 + v. What is the greatest common factor of 110 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*x + 5*x - 9*x)*(0 + 6 - 2)*(2*x - 4 + 4).\nAnswer: -168*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (7 + -2 + -10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -7*c - 53. Let k be n(2). Let o be ((-1284)\/(-18))\/((-1)\/3). Let w = k - o. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 10*v**2 + 4727*v + 37948. What is z(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) -4 (c) -892 (d) -3 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 279 - 282. Which is the closest to 0.3? (a) 0 (b) t (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - o + 25, 0 = 2*y - y + 3*o + 5. Let v = -47 - -64. Suppose 39*w + v = 134. Sort w, 2, 10, y.\nAnswer: y, 2, w, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 278429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 7*h**2 + 9*h - 10. Let a be q(-7). Let r = a - -43. Let k = -12 - r. Calculate the highest common factor of 2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 4) to base 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12363 to 3 decimal places.\nAnswer: 0.124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2043323668 to the power of 1\/3, to the nearest integer?\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 16, -4 in ascending order.\nAnswer: -4, 16, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x = 250. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 219*d**2 + 208*d**2 - 426*d**2. Let q(t) = t + 0*t**2 - 3*t**2 + 3*t**2 + 3*t**2. Give q(r(j)).\nAnswer: 3*j**4 + j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 0*y + 5*m - 14, -2*m = 4*y - 20. Let j be (0 - y) + (-105)\/(-15). Solve x - j*x = 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 275348210?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 5490*f - 10983*f = -5488*f + 346, -3*h - 269 = 4*f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 - 22?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1253 - 1243) + (-462)\/24 + (2 - 0) + -2?\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 8:43 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95017.\nAnswer: 13, 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(535*j + 812*j + 4538*j + 143*j).\nAnswer: -12056*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 225?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/13 or 222310?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d**5 - 4*d**4 - 2646*d**3 + 229*d**2 - 2*d - 9?\nAnswer: 60*d**2 - 96*d - 15876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 151770 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20377?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.1 bigger than 31.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (114\/(-18) + 7)*(-90)\/(-50)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 30*p**2 - 17 - 37*p**2 as a*p + g*p**2 + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/f**23*f)\/f*f)\/f**(-12\/13))**(-40) assuming f is positive.\nAnswer: f**(9920\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/5)\/((t\/(t**(-13)*t)*t)\/t))\/(t\/(((t\/(t**(-4\/7)\/t))\/t)\/t)*t\/((t**0\/t*t)\/t)) assuming t is positive.\nAnswer: t**(-526\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - l - 3*l**2 + 3*l + 1 - 3*l + 0. Let q be x(-2). Let s(u) = 3*u**2 + 2*u + 1. Let n be s(q). Is 1 less than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*r + 1201 = 177, -2*r = 4*o - 996. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150390 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26823813 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -38 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3094*c - 959094. Determine j(310).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 + 3*i**2 - 6*i + 19*i + 13*i as f + h*i + s*i**2 and give h.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4*b + 23, b + 4*o = -3 + 25. Calculate the common denominator of b and -67\/2037.\nAnswer: 2037","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 625 is divided by 115.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14217260?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -958 + 962. Calculate the lowest common multiple of l and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 6*y**2\/5 - 164834604*y\/5 + 1132101944826534\/5 = 0.\nAnswer: 13736217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2*s - 0 - 4, s - k - 2 = 0. Suppose -7 = -3*l - 2*i - 0, s*l + i = 6. Calculate the greatest common divisor of l and 145.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(2*sqrt(396) + -5))**2 - ((-5*sqrt(66)\/sqrt(6) + sqrt(11))*1 + -2))*-5.\nAnswer: -201135 + 14980*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**3 + 5 + 0*t**2 + 2*t**3 + 4*t**2 + 0*t**2 + 2*t. What is the remainder when 50 is divided by r(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a meter in millimeters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 - -98. Let g = c + -52.9. Is g != 127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259 is divided by 122.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141543 (base 9) to base 3.\nAnswer: -11101121110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 9*d**2 + 4*d + 4. Let g be k(5). Suppose q = -2*n + 112, 2*n + 3*n - 545 = -5*q. Let s = q + g. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*s - 171 = -5*g, 767 = 5*g + 3*s. Let q(p) = -14*p - 2. Let b be q(-3). Suppose b = -3*k + g. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02351188 rounded to five decimal places?\nAnswer: 0.02351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c (base 16) in base 9?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -1 + -2 + (-61 - -52) - 2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 240 by 345166.\nAnswer: 120\/172583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*z. Let p(v) be the third derivative of v**5\/60 + 5*v**3\/6 - 35*v**2. Let k be p(z). Solve -k*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2414037, 2414018, 2413981, 2413920, 2413829, 2413702, 2413533, 2413316?\nAnswer: 2413045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -17746*r + 1938. List the prime factors of n(-5).\nAnswer: 2, 19, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*g - 1045 - 5787. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * -21856.\nAnswer: 174848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35*l**2 - 321135*l + 91750.\nAnswer: 5*(l - 9175)*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 16026 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 11:30 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72714.\nAnswer: 2, 3, 12119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4 = b. Suppose -45 = h - b*h - s, 2*h - 38 = 2*s. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1314 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -28*b**4 - 50072*b**3 - 2494740*b**2 - 708696*b = 0.\nAnswer: -1737, -51, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3116 + 3146. What is the remainder when 200 is divided by u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2648431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 256867*v + 2054610. What is b(-8)?\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-1)*f**(-1\/5)\/f*f*f*f**0)\/(f**(-1\/6)\/f**(-5\/3))**22 assuming f is positive.\nAnswer: f**(-151\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5466899320.\nAnswer: 2, 5, 113, 1209491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*k + 0)*(-19 + 122*k + 35 - 19).\nAnswer: -244*k**2 + 6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4261 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -23485, -93919, -211319, -375685?\n\"Answer: -23483*b**2 + 15*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x. Let p(f) be the third derivative of 0*f - 7*f**2 + 0*f**3 + 0 + 1\/4*f**4. Give p(d(g)).\nAnswer: 18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -13. Let l(g) = g**2 - g - 1. Let u be l(p). Solve 0 = -5*h - 4 + u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.18? (a) -50\/123721 (b) 3 (c) -5 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from anyct. Give prob of sequence ync.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 + 0.1. Let w be 16\/(-6)*(-2)\/24. Let r = -0.53 - 0.47. Which is the nearest to r? (a) 5 (b) w (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 5:12 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/1*5\/(-25)*120\/1536*24?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375645 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 0.05\nAnswer: -0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i - 4*i**2 + i**2 + i. Let q(x) = -x**2. What is q(b(d))?\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 149509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 + 32. Are f and -11\/8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5635\/33 - -506\/3. Calculate the common denominator of z and -87\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 7*d**3 + 22*d**2 + 6*d. Let q(l) = -6*l**3 - 22*l**2 - 5*l. What is -6*q(o) - 5*s(o)?\nAnswer: o**3 + 22*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 810675792 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in five eighths of a millisecond?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 9*c**2 + 11*c - 8. Suppose 0*f - 2*f - 5*m = 9, 2*f = -m + 11. Let v be w(f). Suppose 0 = -d - 3*d + v. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, r: 7}. What is prob of picking 2 r and 1 z?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -5\/7 (b) -3\/76 (c) -37 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 119*j + 7637. Determine d(-44).\nAnswer: 465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n**2 + 4*n**2 - 5 - 3*n**3 + 0*n**2. Let z be s(6). Is (-1)\/(-2) - z\/10 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36106, -1\/3, 0.5, 2, -0.4, -5.\nAnswer: -5, -0.4, -1\/3, 0.5, 2, 36106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/3)\/((-8)\/12). Let n = m - -1. Solve -15 = 4*x - 3*b + 11, n = 4*x + 3*b + 14 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bj when two letters picked without replacement from bqqaabqqjj?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31454093?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -f**5\/20 + f**4\/6 + f**3\/3 + f**2\/2 - 3*f - 1. Let h(x) be the first derivative of n(x). Determine h(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 5*c**2 + 5*c + 6. Let b be m(-4). Let u be 3\/b*(4 - -18). Suppose -5*d = -178 + u. List the prime factors of d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -41*w - 348. Determine a(-8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11192063.\nAnswer: 47, 53, 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-4))\/(4\/(-24)) + -1. Suppose 4*m - c = -2. Suppose -p - 62 + 84 = m. Calculate the remainder when p is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 443*s - 3 - 521*s**3 + 253*s**3 + 270*s**3 to a*s**3 + q + i*s + r*s**2 and give i.\nAnswer: 443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5655, 47, 3 in descending order.\nAnswer: 47, 3, -5655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 28 + -8 + -36 + 12\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -1\/3*v**3 + 0*v + 2 - 2*v**2. Find the second derivative of x(y) wrt y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-12)*6)\/(2\/(-54)). Let j be u\/12*40\/(-30). Solve 3*s + 6 = 5*b, j = 5*s - 2*b - 2*b for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - n + 26, -670*a + 668*a - 16 = -n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1631*t + 1664*t - 330 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 105225, 105479, 105735, 105993, 106253?\nAnswer: 106515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 - 149*m + 445. What is the least common multiple of 747 and h(62)?\nAnswer: 8217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 - -59. Let z = 50 - g. Suppose -4*q + 2*o = o - 531, q + 3*o - 136 = 0. What is the highest common divisor of z and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 + 51.9. Let g = -2.69 + 2.52. Put g, w, -2, -0.4 in decreasing order.\nAnswer: w, g, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -149582, -149574, -149566, -149558?\nAnswer: -149550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 65*s**4 - 47*s**4 - 49*s**4 + (2*s**4 + 4*s**4 - 5*s**4)*(-3 + 0 + 4).\nAnswer: -30*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.9999991 + -2. What is d rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 4*a**2 - 5*a. Suppose -q - 15 = 2*q. Let f be x(q). Let g(m) = m + 23. List the prime factors of g(f).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -90582*x**5 + x - 681.\nAnswer: -1811640*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2032?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14 and 1099742.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 5*j + 3. Let n be d(-5). What is the greatest common divisor of n and 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33566 (base 7) to base 14\nAnswer: -316d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x - 2*x**2 - 2*x + (-153 - 288 - 889)*(2*x + x**2 - 2*x).\nAnswer: -1332*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -2) + 1 - 0 - (-276 - -276)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 + 21. Let w = -34 - t. What is the closest to -2\/5 in w, 5\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-26)\/(-5))\/((-2)\/(-10)). Does 13 divide (0 - -4)*p\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 18*w**2. Let n(i) = -18*i**2. Let x(y) = -y**3 + 30*y**2 + 257*y + 80. Let u be x(37). Give u*n(z) + 5*b(z).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*k - 126*k + 97*a + 74 = 96*a, 0 = 4*k + a - 36 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in sixty-one thirds of a week?\nAnswer: 3416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (8\/10)\/(12\/(-60))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12122*i + 12120*i - 24240*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-423795 + 423795 + 1166*h)*(-5 + 4 + 0)*(-1 + 0 + 0).\nAnswer: 1166*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20001210 (base 4) to base 11.\nAnswer: -22770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 2)*(0*k - 5*k + 3*k)*(1 + k**4 - 1) + (0 - 1 + 2)*(-2*k**5 - 2*k**5 + 6*k**5).\nAnswer: 4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2164953*i + 2165188*i - 4330131*i.\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273400?\nAnswer: 2, 5, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-1050)\/(-8400))\/(3\/(-292)*4\/(-6))\nAnswer: 73\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4600606 (base 7) to base 11\nAnswer: 360612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q - 29*q**3 - 14*q**3 + 210*q**3 + 0*q.\nAnswer: 167*q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*i - 698 = 111 - 165 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38133\/1876 + -36\/469. What is the common denominator of -73\/622 and j?\nAnswer: 1244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 620260, 620257, 620254, 620251, 620248?\n\"Answer: -3*f + 620263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 165721299 to the power of 1\/2, to the nearest integer?\nAnswer: 12873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3732 - 3730.9508. What is o rounded to one dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u + 45. Let z(i) = -i**3 + 9*i**2 + 57*i - 374. Let d be z(11). Give k(d).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/9 - 14\/(-12). Let x = 102.4 + -167. Let b = -65 - x. Put -3\/5, u, b in increasing order.\nAnswer: -3\/5, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**10\/30240 - k**6\/240 + 3*k**5\/20 + 9*k**2. Let a(x) be the third derivative of t(x). Differentiate a(b) with respect to b.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n + 6 - 6 + 1. Suppose -26*b - 10 = 68. Let j = 1 + 2. Let o(r) = r**3 + r + 1. What is b*o(s) + j*u(s)?\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5 = 10. Let z = s + -4. Let r = -88 + 89. What is the nearest to r in 2, z, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*a - 43223 + 38174 + 448549 = 0. What are the prime factors of a?\nAnswer: 5, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/(-91) + 129267\/117. Which is the second biggest value? (a) 2\/17 (b) -0.3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 8*x**2 - 40*x + 200. Let n(m) = -m + 5. Let y(f) = 40*n(f) - s(f). Let z(q) = 6*q. Determine y(z(g)).\nAnswer: -288*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 35 - 4 = 3*r, -r = t - 7 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 8:02 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - 5. Let i be p\/(-10) + (-6)\/10. Let v(d) = -21*d + 122. Let b be v(6). Sort b, 5, i in ascending order.\nAnswer: b, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkgmmggmkmunmmgmm. Give prob of picking 1 g, 1 m, and 1 u.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 11 + u + 2*u + 3*u. Let n be h(4). Suppose 5*t = 30 + n. What are the prime factors of t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25734846 a multiple of 1341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1172 - 5*f**2 + 3790 + 3*f**2 + 3*f**2.\nAnswer: f**2 + 2618","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1392\/3248)\/((-5)\/210)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339027.\nAnswer: 3, 13, 8693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -2083*a**6\/6 - 1641*a**2\/2 - 2349. What is the second derivative of o(q) wrt q?\nAnswer: -41660*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(272) - (-5 + sqrt(272) + sqrt(272)*-1) - (sqrt(272)*2 + sqrt(272))*-5) + -6*-1*(sqrt(272) + sqrt(272) + 1))*-2)**2.\nAnswer: 9856*sqrt(17) + 853480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 4:40 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 20840 = 4*x - 43720, 8 = 2*x. List the prime factors of w.\nAnswer: 2, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**4*w**2 - 3717*c**2*w**3 - 27751*w**3 wrt c?\nAnswer: 8*c**3*w**2 - 7434*c*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/576 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-20 - 7) + (-19 - (16 - 21)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vccccvdcvcdvcddc. Give prob of picking 1 d and 2 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*m + 137 + 65 - 6 = 0. Let c = -11 + 5. Let s = c - -4. Put m, s, 1 in descending order.\nAnswer: m, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 25.77142444528\nAnswer: -25.77142444528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4.4793 or 0?\nAnswer: 4.4793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 288.757478 to the nearest integer.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4 + 1380628*n**2 - 4 - 1380629*n**2. Let g(j) = -3*j**2 - 7. Give g(i(h)).\nAnswer: -3*h**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2 - -2) + -1)\/(-1). Let l(s) = 2*s**2 - a - 4*s + 3*s - s**2. Let x(j) = j**2 + 8*j + 5. Let y(i) = -2*l(i) - x(i). Suppose y(v) = 0. Calculate v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -129, -691, -1679, -3099, -4957?\n\"Answer: -y**3 - 207*y**2 + 66*y + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**2 + 6*s - 198. What is x(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z = 15*z + 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 2*c**2 - c - 4. Let m be l(3). Suppose m*x - 74 = -0*x. Suppose -11 + x = u. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13, -55, -145, -307, -565, -943, -1465, -2155?\n\"Answer: -4*q**3 - 14*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1494*q**2 + 1398*q**2 + 973*q**2 to the form g*q**2 + j + b*q and give g.\nAnswer: 3865","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 22 = -2*p, -3*l + 5*p = -4*l + 33. Let z(u) = -u**3 + 7*u**2 - u + 5. Let i be z(7). What is the remainder when i\/5 + 462\/30 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85550501\/12 - -7137139. Let c = 7936 - n. What is the common denominator of c and (-453)\/4*(-4)\/(-18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 12*h**3 - 7*h**2 - 11*h + 36. Is d(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 - 63*t**2 + 73506*t + 516600.\nAnswer: -3*(t - 150)*(t + 7)*(t + 164)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**5\/60 + g**4\/24 + g**3\/6 - 14*g**2. Let v(b) = -b**3 + b**2 - b - 2. Calculate -u(k) - v(k).\nAnswer: k**3 - 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*h**3 + 9*h**4 - 23*h**3 - 11*h**4 + (-3 + 3 - 7*h)*(-5*h**3 - h**3 + 4*h**3) - 8*h**4 + 13*h**4 + 3*h**3 - h**3.\nAnswer: 17*h**4 - 12*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 18 + 10*r + (2 - 5 + 1)*(2*r - 5 + 5) - 6*r + r - 10*r as a + f*r and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 2\/35, 0.09?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2549*b**3*k**2 + 24811*b**3*k + 12*b*k**2 + 563969*b*k - 12*k**2 wrt b.\nAnswer: -15294*b*k**2 + 148866*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 627789907*b**4 + 612978287*b**2 wrt b.\nAnswer: 15066957768*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/((-3)\/5 - (-148)\/80) and 5\/859.\nAnswer: 4295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9352070.\nAnswer: 2, 5, 7, 13, 43, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86840.\nAnswer: 2, 5, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*a = -3. Let d(u) = 3*u**2 + 5*u + 3. What is the remainder when 27 is divided by d(a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -496\/21 + 70\/3. Suppose 3 = 2*h - 5*v, -17*h - 3 = -13*h - v. What is the second biggest value in h, 3, 1, m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v. Suppose 0 = -5*r + 10 - 40. Let o(b) be the first derivative of 4*b**2 - 280. What is r*o(h) + 22*p(h)?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2089854237?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4 - 1)\/((-1851)\/(-40722)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/15*35\/7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, p: 1, a: 1, k: 1, y: 2}. What is prob of picking 1 k and 1 a?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (-1 - (-1 + 4)). Suppose 0*x + 3*x + 2*m = 78, 2*m - 130 = -y*x. Solve 5*v - 3*f + x = -4*f, -2*f + 8 = -2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 984683 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**5\/20 - z**4\/3 + z**3\/3 + z**2\/2 - 31*z + 5. Let f = 1 - 3. Let p(j) = j + 4. Let i be p(f). Determine m(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5970*h**3 - 19447*h**2 + 7. Let j(q) = -2984*q**3 + 9726*q**2 - 4. Let x(b) = -7*j(b) - 4*y(b). Find the third derivative of x(l) wrt l.\nAnswer: -17952","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00060196572 rounded to six dps?\nAnswer: -0.000602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -28 times -0.01\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 75906296*b + 219627372?\nAnswer: 75906296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2710, -2714, -2720, -2728, -2738?\n\"Answer: -j**2 - j - 2708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1010110 (base 2) to base 16\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 104*q - 109*q. Suppose 5 + 4 = q*n - 3*i, 0 = -5*n - 2*i + 15. Find x such that -20*x**n - 245*x**4 + 16*x**2 + 16*x**2 + 245*x**5 - 12*x**2 = 0.\nAnswer: -2\/7, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + o**2 + 12*o - 9. Let f be b(4). Let k be (-5 - -1)\/(-2) - f\/(-1). What is the highest common factor of 44 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 33*k**2 + 246*k - 44. Calculate y(-12).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/79, -3, -5, 5, 4, 216?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 9*p - 20. Let o be f(6). Which is smaller: 3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-40))\/((-30)\/((-690)\/23))?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 + -160)\/(0 - 1). Calculate the greatest common divisor of 15 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9860 + -6697. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-70)\/(-15)*(486\/(-21))\/(-3). Suppose -624 + 174 = -5*c. Calculate the greatest common factor of c and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9038149 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 - -11. Let p = -66.000043 + s. What is p rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -512*d**3 - 2688*d**2 - 2760*d + 2116.\nAnswer: -4*(2*d - 1)*(8*d + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -3*q. Suppose -d - 7*n + 4*n + 15 = q, 4 = 4*d - 2*n. Suppose -76 = -4*l + 4*o, -d*o = -4*l - 8*o + 31. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1, -0.5, -28541\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.7 + 0.7. Let m = -0.09 - -3.09. What is the third smallest value in n, m, 3\/4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.4, 2, 260\/71 in descending order.\nAnswer: 260\/71, 2, 1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4342 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16171*k + 33253*k - 14168*k.\nAnswer: 2914*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3*52\/(-195)*(-5)\/6\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4218 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + 2 - 5186036) + -7. Let d = 10126040 + x. Round d to the nearest 100000.\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 1271696.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1366472 is divided by 589.\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 13, 24, 69, 166, 333, 588, 949?\nAnswer: 1434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(630\/330))\/((-2)\/(-2)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 12. Let z be y(12). Let t = -18 - z. Is (-3)\/t - 3082\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/8 in 0.04, 4\/7, -3\/8, 1\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*(-5 + sqrt(1568) + 1 + sqrt(1568) + sqrt(192)\/sqrt(24) + -5 + -4))**2.\nAnswer: -122148*sqrt(2) + 558657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -35*l - 14. Give x(-5).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 106*g**2 - 4238*g - 58. Let a be w(40). Solve -4*j + 21 = -2*i - 3, i = 4*j - a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 times -2\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2.1, 2\/5, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7057*p**2 + 41*p + 1142479.\nAnswer: -14114*p + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22445942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9*2 + -3 + 1. Let c = -9 + j. Suppose -9 = 3*p, -c*f + p + 708 = -2*f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 1.5. Let f = -0.25 + 0.05. Let s = -0.3 + f. Sort s, o, 0.2 in decreasing order.\nAnswer: o, 0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 150475807?\nAnswer: -150475808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321020021?\nAnswer: 7, 6551429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (17 - (-7 - -22)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 879*t = 14082 + 1740 for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/sqrt(4)*6 - 1*sqrt(8)*-1)\/((sqrt(324)*1 - sqrt(4))*-6).\nAnswer: -7*sqrt(2)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (45\/(-10) - -2)*92\/(-10). What is the second derivative of -k*c + 0*c**2 - 17*c - 84*c**2 wrt c?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 331405 and 395?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-8)*-2*-2. Suppose b*a + 2*a = 16. Solve -3*i + 3*q + 9 + 3 = 0, 0 = -2*i + q + a for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -14*d + 1. What is t(4)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpkkkkkp. What is prob of picking 2 k?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 670428?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 6*t**2 - 8*t + 7. Let h(f) = -f**3 - 7*f**2 - 9*f + 6. Let j(z) = -3*h(z) + 2*x(z). Calculate the remainder when 82 is divided by j(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502092 is divided by 124782.\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -382, 5, 6 in ascending order.\nAnswer: -382, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -81 + 104. Suppose -m = 5*i - 18. Let s(t) = -8*t**2 + t. Give s(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*b**3 - 2*b**2 + 30*b**3 + 438 - 25*b**3 + 2*b**2 - 438.\nAnswer: 80*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 824 = k, -2*k + 3*r - 448 = 1205. Let s = k + 1721\/2. Calculate the common denominator of s and 2 + ((-98)\/8 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 5*p + 5*p)*(9*p + 3*p**2 - 9*p) + 23*p**3 - 12*p**3 - 5*p**3.\nAnswer: 18*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -8278*j - 611779. Calculate m(-74).\nAnswer: 793","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 923392102.\nAnswer: 1846784204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.19 + -0.19. Let l = 13.71 - u. Let w = l + 0.2938. Round w to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312*h + 4 = p + 310*h, 0 = -2*p + 2*h + 2. Suppose -j = 4*f + 19, 2*j + 7 = 4*j - f. Is (p\/(-4))\/(((-1)\/(-130))\/j) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, n: 5, e: 2, f: 1, p: 8}. Give prob of picking 1 e and 1 p.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48.9020028 - 0.0486.\nAnswer: -48.9506028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j**2 - 6*j + 10. Let h(m) = -5*m**2 + 7*m - 11. What is 6*h(d) + 7*s(d)?\nAnswer: -2*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 600863, -15 in decreasing order.\nAnswer: 600863, 3\/4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 62019 + -13311. What is the ten thousands digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5552205 (base 7) to base 10.\nAnswer: -685074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -321 (base 6) to base 14\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 170901919 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34498429?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in -13, -3\/13, 8?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1053, -1214, -3483, -5754, -8027, -10302, -12579?\nAnswer: -14858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 891\/2 + -446. Let d = -1.3 - -1.21. Let s = 0.91 - d. Is z greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 18*p**2 + 142*p + 1014. Give r(-8).\nAnswer: 1030","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 677*q + 6254. Determine h(-9).\nAnswer: -568","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24, -30, -40, -54, -72, -94?\n\"Answer: -2*g**2 - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9052 = 977*f + 903 - 5529 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 6:05 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 16, 4, -3, -2 in increasing order.\nAnswer: -3, -2, 4, 16, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 102. Let u be m(0). Suppose 5*r - u - 23 = 0. Suppose 3*j + 41 = 5*a - 0*j, 5*j - 15 = 0. Calculate the greatest common factor of a and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1613072?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**5\/3 + 6892*c**4\/3 + 138637*c**3\/3 - 2745100*c**2\/3 + 2387164*c - 1520640 = 0?\nAnswer: -33, 1, 2, 10, 6912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51699*-0.3.\nAnswer: 15509.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 146404611 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -719643, -719638, -719621, -719586, -719527?\nAnswer: -719438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -65291 divided by -1\nAnswer: 65291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 9*f**3 - 2*f**2 - f. Let c(h) = 2*h**2 + 4*h - 12. Let g be c(-4). Suppose k = g*k + 3. What is d(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11 in 5669, 2.1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4077 and 3132?\nAnswer: 472932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 5. Suppose x + n - 24 = 0. Suppose x = -2*s + 7*s. What is the greatest common factor of s and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4074 + -971. Does 58 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o**1\/o))**(-36)\/((((o**(-1)*o)\/o)\/o)\/(o\/o**(-6)))*(o**(-2)\/(o**(-1)*o))**(-39) assuming o is positive.\nAnswer: o**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/30 and 66\/425.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 12:00 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 0*i**3 + 0*i**5 - 11\/60*i**6 + 0 - 2*i**2 + 7\/24*i**4 + 0*i. Find the second derivative of m(f) wrt f.\nAnswer: -132*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 - (4 + -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/58367, 1\/4, -0.3, -7, 3 in ascending order.\nAnswer: -7, -0.3, -2\/58367, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 1790576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 6*f - 4. Let d be s(-3). Let r(g) = -g**3 + 7*g**2 + 9*g - 6. Is r(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -5*o**2 - 5*o + 1. Let h(c) be the first derivative of -c**3\/3 - c**2\/2 + 16. What is -3*h(f) + l(f)?\nAnswer: -2*f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 12:17 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2\/(-6))\/(1\/(-165)) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 7*r**2 + 6*r. Let h be c(6). Let a(j) = j**3 - 17*j**2 - 9*j - 158. Let f be a(18). Solve -f = -4*k + 4*g, k + 11 = -3*g - h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 10*j = -108. Let d be 1*258\/54 - 4\/j. Solve -w = -2*w - 2, -2 = d*l + w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -59. Let h be (-16)\/128 + 530\/16. Let t = l + h. Let k(r) = -r**3 - 7*r**2 + 6*r - 10. What is k(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -0.13, 3\/14 in ascending order.\nAnswer: -0.13, 3\/14, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -4b4?\nAnswer: 4b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7710\/66 - (-6)\/33. Is l > 117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 1284591132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**5\/30 - 29*r**2. Let w(h) = -h**2. Calculate s(w(v)).\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2196 = -6*y - 120. What is y rounded to the nearest ten?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 + 4*a**2 - 5*a**2 + a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 3*w = -16, 0 = -3*w - 15 + 33 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*o + 154 = 165*o - 69*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/21308991 and 43\/9.\nAnswer: 63926973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -h**5\/20 - h**4 + h**3\/3 + 25*h**2\/2 - 146*h - 4. Give f(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 70\/(-4)*(-12)\/(-15)*7. Let l = j - -105. What is the derivative of 3 + l*u + 21*u + 6*u wrt u?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -5.7. Let w = -0.05 - -0.04. Let p = 0.21 + w. Which is the third smallest value? (a) q (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/28 - ((-2)\/4 - 1). Suppose -1 = t*x - 29. What is the greatest common factor of x and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12226 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, e: 4, l: 2, n: 2, v: 3, g: 1}. What is prob of picking 1 k, 1 g, and 1 v?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (121\/22)\/((-132)\/(-456))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 13 = 16 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 - 2*i**2 - 514053007*i**3 + 514053024*i**3.\nAnswer: 17*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -18583?\nAnswer: -18587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of d**2 - 2*d + 10. Let s(u) = -u**2 + 17. Let q be s(-5). Determine y(q).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50338430 - 2*r**3 - 50338430 + r**3 - r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*r - 13*r**2 - 56*r + 63*r to y*r**2 + a + w*r and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (5 - (5 + -6)) - -2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 PM and 7:30 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -783 - -544. Let m = -204 - k. What is the third smallest value in m, 1, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4487 at most as big as 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*32\/(-280)*(-133)\/(-76)*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 156450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -10 - (1 - -4) - -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 18\/13 (b) -300 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 - 90653861*w + 90653861*w.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 31*a + 19. Let y be f(10). Let r(b) = b**2 + b - 4. Let q be r(-3). Suppose 4*l = -3*o + y, 2*l - 7*l + 420 = q*o. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 1. Let k be l(0). Suppose 5*n + 6 = k. Which is greater: n or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 76 - 599\/8. Calculate the common denominator of m and -131\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 403 divided by -1\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, b: 1, y: 1, l: 1, r: 1}. What is prob of sequence ye?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.434 - 8.534. Let z be 2 - (315\/(-24))\/(-7). Let s = 0.9 + 0.1. Which is the closest to -1\/4? (a) z (b) s (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.45919 to two decimal places.\nAnswer: 18.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189806234?\nAnswer: 2, 94903117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 162 and 11622.\nAnswer: 1882764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.28 - -15.72. Let i = o - 17. Let n = -55 - -53. What is the third biggest value in -0.4, n, i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*(sqrt(3) + sqrt(12))*3)**2 + 1.\nAnswer: 2189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 877 - (-1)\/(4 + -3). Suppose -c = -y + 541. Let i = y - -381. Round i to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7153 + 4?\nAnswer: 7157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -491 - -3439\/7. What is the closest to 2 in 0.3, n, 0.01, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28 - 26 - 28)*(316*y**3 + 100*y**2 - 100*y**2) to the form h*y + x*y**3 + n + r*y**2 and give x.\nAnswer: -25912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - 4)*(3*s**4 - s**4 + 0*s**4) + s**4 - 4*s**4 + 5*s**4)*(s + 4*s - 6*s - 244).\nAnswer: 6*s**5 + 1464*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 1157.38.\nAnswer: 5786.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/20)\/((-1404)\/390)*-14?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 38*j + 40. Suppose 0*t - 14 = -2*t. Suppose -t = -8*i + 9. Let v(c) = -c + 1. Let r(s) = i*v(s) - x(s). Differentiate r(a) with respect to a.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**3 + 4*z + 9*z**4 - 1 - 3*z**4 + 17*z**2 - 7*z**4 - 4*z**3 to o*z**4 + v + a*z**2 + l*z**3 + q*z and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 0, 12, 2\/7, -8 in decreasing order.\nAnswer: 12, 2\/7, 0, -2\/11, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21019058239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 950 divide 12456269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -288749 by 230.\nAnswer: -288749\/230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 2\/27*y**4 - 7*y + 0 + 1\/9*y**3 - 1\/9*y**2. Factor l(d).\nAnswer: 2*(d + 1)*(4*d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 4*j - 4647402 + 4647398, 3*j - 52 = 2*y for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 = -2*b + 5*s, 12*b + 2*s - 355 = 9*b. List the prime factors of b.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -65, -78, -91, -104, -117?\n\"Answer: -13*x - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -44*v**3 + 66*v**2 + 66*v + 66. Let f(d) = -d**3 + d**2 + d + 1. Calculate -66*f(r) + h(r).\nAnswer: 22*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*p - 2 = -10, -k - 5*p = 20. Suppose 2*r - 9 - 13 = k. Suppose 0 = j - 3 + 2. Calculate the greatest common factor of r and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115557 to the power of 1\/2, to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.06 <= -36.1545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -24. Suppose 4*z - k = -57. Let s(g) = g**3 + 11*g**2 + 12*g + 3. What are the prime factors of s(z)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 550 and 26125?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 481462 divided by -5.\nAnswer: -481462\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20291 > 1034800\/51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -5*f - 2*p, 5 = 775*f - 775*f + 5*p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z - 8. Let b(c) = 5*c + 15. Let m(y) = 4*b(y) + 7*u(y). Let r be m(9). Let w = -36 - -34. What is the smallest value in w, r, -3, -1\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, -4, -1\/49, 1\/2, -16, -1\/4?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oojoouojopojojpoju. Give prob of sequence upuo.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from {c: 2, o: 7}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 110953308 to the power of 1\/3, to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55066 + 55046 + (1 + 0 - 68).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xcnx when four letters picked without replacement from {x: 5, c: 1, l: 2, n: 8}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*o**3 - 71569*o**2 + 3322036*o.\nAnswer: -102*o - 143138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w + 4. Let r be (2 - -2 - -2) + -2. Let z be m(r). Let y(o) = -o**3 - 3*o**2 + 3*o. Is y(z) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 q when two letters picked without replacement from {z: 5, q: 2, k: 1, r: 1, f: 11}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h + 5*r + 9, 37*h = 38*h + 4*r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*k**2*y**5 - 211*k**2*y**2 - 35*k**2*y - 402*y**5 - 3*y**2 - 2*y wrt y?\nAnswer: -300*k**2*y**2 - 24120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/300 and 181\/4500?\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rffpfrfffrfpp. Give prob of picking 1 r and 2 p.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*(-32)\/(-29520)*-10*(-2)\/(-4).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 39*i**2 - 115*i + 44. Is o(7) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 992 divide 323251136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eejx when four letters picked without replacement from eleeljx.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -9*m - 64. Let c be f(-4). Sort c, -5, -1\/7, -1, -2 in decreasing order.\nAnswer: -1\/7, -1, -2, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 102 + 473 = 0. Suppose 3*a = -2*a + n. Is a a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y. Let k(v) = -40*v + 1. What is k(f) - 2*m(f)?\nAnswer: -36*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -770 - -850 - (148 - -6)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 not equal to 72\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 624\/5*z - 4056\/5*z**2 - 32\/5 + 8788\/5*z**3.\nAnswer: 4*(13*z - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -540.88 + -7.12. Let p = -547.499 - k. Let m = -0.53 + p. What is m rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 e when two letters picked without replacement from eeix.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -5\/68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -c + 30. Let v be (10\/25)\/((-18)\/c). Which is greater: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 4 = -38*t + 6*p, 0*p + 4*p - 295 = 5*t - 291 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*n**2 - 18*n**2 + 43*n**2 + 59*n**2 + 12086.\nAnswer: 174*n**2 + 12086","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*g**4 - 24*g**4 + 612 + 188 - g**3 + g**5 + 1040*g + 0*g**5 + 368*g**2 - 7*g**3.\nAnswer: (g - 10)**2*(g + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -783 divided by 4?\nAnswer: -783\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (54\/(-162))\/(0 - (-1)\/3) - -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -12*t. Let u(p) = -4*p**2 + 212*p. Let a be u(53). Let s(b) be the third derivative of 0*b**4 + 0 + 0*b + a*b**3 + 9*b**2 - 1\/20*b**5. Give v(s(i)).\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 12196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 21 + 7*f + 1 - 6.\nAnswer: 7*f - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*k**4*x**3 + 13794*k**4*x**2 - 3*k**2*x**3 - 2*k**2 + 3*k*x**3 - 5345 wrt k.\nAnswer: -168*k*x**3 + 331056*k*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, 5\/2, -1, 1, 6, -0.4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 1*24)*40\/(-30). Suppose x = -6*v + 8*v. Solve 9*b = 5*b + v for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 197. Let a be s(11). Calculate the greatest common divisor of 6 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 54.16889ng?\nAnswer: 0.00000000000005416889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-560)\/(-700))\/(44\/10*1).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/18 - 1220\/12. Let h = 122 + d. Solve -5*w + h - 5 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-55)\/1848*6)\/(2\/(-8))\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1608329*h**3*i**3 + 21389137*h**3*i + 17*i**4 wrt i.\nAnswer: 9649974*h**3*i + 204*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/14*12\/30. What is the nearest to i in 0.4, -5, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 270 and 424008.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*s + 203 + 31 = 0 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3084.\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 35535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 226002 or 226001?\nAnswer: 226001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 4:03 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 7*t - 3. Let v(a) = 9 - 7*a + 9 + 14 - 29. Let k(j) = -6*m(j) - 5*v(j). Calculate k(3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, d: 1, o: 1, x: 4}. Give prob of sequence xo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -23, 11, -1, 39, 45 in increasing order.\nAnswer: -23, -1, 5, 11, 39, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9538?\nAnswer: 2, 19, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, w: 3, n: 2, l: 1, s: 1}. Give prob of sequence wwsn.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 10, -2 in decreasing order.\nAnswer: 10, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 318 divide 417791898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 341 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1\/6, -707, 2, -5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 88800 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 45*y**2 - 30*y + 1. Let o(k) = -1. Let f be 1 + (-8 - (-1 - 2)). Let z(u) = f*o(u) + l(u). Factor z(a).\nAnswer: 5*(3*a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -x**7\/560 + x**6\/120 - x**5\/80 + x**3\/6 + 31*x**2 - 14*x + 2. Let u(p) be the second derivative of o(p). Solve u(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13959012 to the nearest integer?\nAnswer: 3736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 658*d - 2001. Calculate w(3).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00007807 rounded to 6 dps?\nAnswer: 0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -33*g. Let f(v) = -35*v + 13*v + 20*v. What is p(f(d))?\nAnswer: 66*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pprrr. Give prob of picking 3 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112443 and 48278567.\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 182*w + 179*w = -51, -w = 7*a - 29 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -466655*f**3*p**2 - 4*f**2*p - 26*f - 15*p**2 wrt f?\nAnswer: -2799930*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -3aa6429?\nAnswer: -3aa6427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 2 + 4 - 4)*(-11*a + 12*a - 6*a).\nAnswer: 5*a**2 - 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 6450 = 93. Let k = -247 + n. Does 17 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 42495?\nAnswer: 8\/42495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-756)\/(-280))\/((-2)\/((-14)\/42*(-2)\/1))?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -528868 and 0.66?\nAnswer: 528868.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (3 - -10)) + 4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -6*g. Let j = 5 - g. Let o = j - 5. Solve w + o = 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 10:50 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = u. Suppose -2*q + 10 = -u. Suppose 6 = 3*b - q. Solve 10 = -5*f + b*a, -2 = -4*f + a + 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -1997*a**4\/6 - 13*a**3 + 17*a**2\/2 - 25*a + 26. What is the second derivative of o(j) wrt j?\nAnswer: -7988","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3955889*x**2 - 2894888 wrt x?\nAnswer: 7911778*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2 + -0.8. Let u = 17 - -231. Let j = u + -248.1. Which is the closest to 1? (a) -6 (b) j (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9 and -96789758670155.\nAnswer: -96789758670146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*j**4 - 3*j**3 - 17*j**2 - 35*j + 859322.\nAnswer: 28*j**3 - 9*j**2 - 34*j - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 2*w + 62, 5*w - 10*w = -v + 175. What is the third smallest value in 0.2, w, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 13\/15*g**3 + 26*g - 8\/5*g**2 - 1 - 1\/6*g**4. Find q such that i(q) = 0.\nAnswer: 1, 8\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28856907?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*h - 132*h + 14 = 2*l, -5*h = 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 11:31 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 677702503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -19*c - 4. Let i(d) = 7*d - 15. Calculate y(i(a)).\nAnswer: -133*a + 281","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 28756?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(-l + 3*l - l)*(-5*l + 13 - 13 + (2*l - 2*l + l)*(-6 + 1 + 3)).\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -149, -272, -485, -794, -1205, -1724, -2357, -3110?\n\"Answer: -g**3 - 39*g**2 + g - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -171, 2, 4, 5 in descending order.\nAnswer: 5, 4, 2, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39920488 and 544.\nAnswer: 159681952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23*m + 51*m + 30*m)*(-3*m + 0*m + 2*m) to b*m + t + q*m**2 and give q.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 8:32 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -62. Suppose -2*h + c = l, 5*l - 71 - 186 = -4*h. What is the remainder when 315 is divided by l?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 1. Let t be l(3). Let o be (-96)\/46 - 1*t. Let s = -0.021 - -1.021. Is o <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -78 + 75. Let a be -14 - (-36)\/3 - (n - -1). Which is smaller: a or -2\/1723?\nAnswer: -2\/1723","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 228 and 64920?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 59620 + -1133608\/19. Let u = d + 45. Calculate the common denominator of -2 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*7.14686\nAnswer: -2.144058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.05*-49556488\nAnswer: 2477824.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 6. Let d(m) = -213*m**3 + m**2 + 6*m - 8. Let g be d(c). Round g to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2395 * -0.136\nAnswer: 325.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 642 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.9 + 5.9. Let s = -36 - -30. Let i = s - -10. Sort -0.14, r, i.\nAnswer: -0.14, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-nine halves of a gram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21169.86 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**3\/3 + p**2\/2 + p - 4. Let d(j) = 13*j**2 + 7*j + 13. Let i(l) = 22*a(l) - 2*d(l). What is w in i(w) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.75 times -0.20881?\nAnswer: -0.3654175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-844)\/(-7174) - (-1191)\/(-153))*12.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10720 and 41674?\nAnswer: 3333920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -687*h**2 + 553*h**2 - 30*h**4 + 56*h**4 - 444*h**4 wrt h?\nAnswer: -10032*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**5*r)**(-1\/3)*(r\/(r*(r\/r**(-2\/7))\/r))\/r**7 assuming r is positive.\nAnswer: r**(-202\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6 + 8 - 7) + 122\/(-12) and -79\/63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 1110121211002101?\nAnswer: -1110121211002120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -3.5, 0, 0.2, 4, -370?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/5, 3, -6 in decreasing order.\nAnswer: 3, 11\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjj when three letters picked without replacement from {j: 5, e: 4, b: 1, v: 1}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170638617 is divided by 2136.\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1544 is divided by 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63806 and 2318?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 2*z - 2*z)*(-3*z**2 + 2*z**2 + 3*z**2) + (-5*z**2 + 11*z**2 - 5*z**2)*((2*z + 8*z - 2*z)*(-5 + 2 + 1) + 3*z - 5*z - 2*z)*(0 + 0 - 1)*(5 + 0 - 2).\nAnswer: 58*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -5*t + 52 - 16, -4*t + 5*n = -42. Which is bigger: t or 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 335691059?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*s**2 - 44 + 92 - 50 in the form u + z*s**2 + g*s and give z.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5883827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1 - -227)*(-1)\/36 and (-24)\/18 - (-1256)\/240.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 280067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one quarters of a kilometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 13) + (153 - 2) - ((199 - 105) + -82).\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 1. Let r be (2 - 4\/1)*10\/20. Let g(t) = -2*t + t**2 - 2*t - 3*t**2 + 3. What is r*g(o) - 3*s(o)?\nAnswer: 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*i**5 - 21772*i**4 - 294212*i**3 - 635652*i**2 + 156024*i = 0. Calculate i.\nAnswer: -591, -11, -3, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -5\/6*z**3 + 6 + 0*z**2 + 4*z + 61\/12*z**4. What is the second derivative of c(l) wrt l?\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/((-858)\/(-242))*5\/(140\/(-12)).\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36285 is divided by 18073.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 3*o - 1212. Let r be k(31). Which is smaller: 46 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -7*h**5\/24 - 17*h**4\/48 - h**3\/6 - 7*h**2. Factor g(y).\nAnswer: -(5*y + 1)*(7*y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15047129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/5 (b) 9 (c) -0.04 (d) -3\/4 (e) 15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/1391 and 145\/8346.\nAnswer: 8346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s - 11*s = -5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 7*f**3 - 4*f**2 + 16. Let t be i(3). Let h = t - 57. 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: Let c(v) = 2*v. Let p be c(2). Suppose -a + 18 = 3*l, 4*a + 0 - 12 = -2*l. Let t(h) = -4*h + 3*h - l*h - p*h. Let s(j) = -3*j. Give s(t(x)).\nAnswer: 33*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.65999 rounded to the nearest integer?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*h - 15 = -194*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1512719 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 15*v + 9. Let x be (3*(-4)\/4)\/(24\/72). Let k(l) = 8*l + 4. Calculate x*k(j) + 4*s(j).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1954 - 0.0136. What is p rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44184, 88340, 132496, 176652, 220808?\nAnswer: 264964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**2 - 2*i**4 - 9 + i + 7 + 3*i**2 to the form m + s*i**2 + h*i**3 + d*i + x*i**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -9*w**2 + 2*w - 14. Let d(v) = 7 + 6 - 3*v - 27*v**2 - 31*v**2 + 68*v**2. Let i(g) = 2*d(g) + 3*h(g). Let o(j) = j. What is i(o(k))?\nAnswer: -7*k**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2059239 and 2717?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 250*a + 369. What is the units digit of v(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 v, and 1 c when four letters picked without replacement from {v: 2, c: 1, r: 4}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7 = -2*j + 1, 5 = 2*w - 3*j. Let v be w\/18 - (0 + (-1)\/36). Sort -4, -5, v in decreasing order.\nAnswer: v, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6288 - -4a?\nAnswer: 62d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 PM and 11:06 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 261405858 a multiple of 903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 9*b**2 - 21*b - 11. Let q be k(-5). Let s be (-1)\/(6\/(540\/q)). Solve -s = 4*d + 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**2 - 3*x + 2. Let p be l(3). Let a = p - 10. List the prime factors of a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*w - 55 = -23, 6*z + 2*w = 26. Let n = -1 + 0.5. Sort n, 8, z in increasing order.\nAnswer: n, z, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 o, and 1 e when three letters picked without replacement from {f: 9, o: 2, c: 2, e: 2, y: 2}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, k: 3, z: 4}. Give prob of picking 2 z and 1 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(((-4)\/6)\/((-80)\/40))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 9464*s + 3695. Is p(18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -13*j**2 + 30*j + 27. Let d be k(3). Let b(v) be the first derivative of 0*v + 11 + 0*v**2 - 1\/14*v**4 + d*v**3 - 2\/35*v**5. Factor b(u).\nAnswer: -2*u**3*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2224390\/33262427 + 2\/92653. Is 0 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-5) + (-9 - 142\/(-10)). Suppose 11144 + 16811 = y*c. What is c rounded to the nearest 100?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - i**2. Let k be o(1). Let x be 1 + 2 + (-58)\/18. Which is the nearest to x? (a) 3\/2 (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - -69. Suppose 2*u = -u + c. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 366\/((460\/184)\/((-1)\/4*-5)). Suppose -m + 5*m + 10 = f, 5*m = f - 12. Suppose -f*i - 178 = -7*t + 3*t, 4*t - a = -3*i. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by 34.\nAnswer: -21\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + q**2 + 6*q + 1. Let d(p) = p**3 - 1. Let y(a) = -2*d(a) + z(a). Let u be y(-2). Suppose -u*n + 142 = -122. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(55))\/((-1*sqrt(121))\/sqrt(11)) + -1.\nAnswer: -1 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 43268.24 nanometers in kilometers?\nAnswer: 0.00000004326824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -48\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24.41 + 0.41. Let i = 23.9 + r. Let k = -76.8 - -77. What is the closest to i in -2\/3, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 7*u - 1. Let f be ((-4)\/16)\/(((-9)\/(-1212))\/(-3)). Let p = f - 79. What is the lowest common multiple of p and g(1)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -7*u - 27. Suppose -17*f = -3*f + 112. What is the tens digit of i(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/2 + -1 - 3. Let y be (g\/(-2))\/((-1)\/(-3)). Let s(l) = l + y*l - 5*l. Let m(z) = 2*z**2. Calculate s(m(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 182 - 182 + 130*o**2.\nAnswer: 130*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 18*q**2 - 41*q + 30. Suppose -3*m = -5*w + 84, -38*w + 9 = -37*w + 2*m. What is the smallest common multiple of y(w) and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 3.1. Let l = -0.9 + h. Let q = -0.25 - -4.25. Which is the third smallest value? (a) l (b) 0.5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8054861.\nAnswer: 643, 12527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + -2 + 47766\/(-28). Let f = 1707 + a. What is the common denominator of f and -57\/5?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -47*c + 194 + 793 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -441 - -366. Let t = v + 74.9. Which is the closest to 0.2? (a) -4\/41 (b) -0.5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -101, -71, -49, -35, -29?\n\"Answer: -4*k**2 + 42*k - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -82\/213 + -39634\/1065. Let j = -38 - a. What is the third biggest value in j, -1\/6, 2\/13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 50, -39, -172, -349, -570, -835?\n\"Answer: -22*o**2 - 23*o + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-13) - ((-640)\/364)\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -238 by 119.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)\/sqrt(3)*-3)\/(sqrt(24)\/sqrt(32)))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2052 + 1.07\nAnswer: 2053.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -225055130 (base 6) in base 16?\nAnswer: -3f79fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2037*h**4 - 5*h**2 + 1347. Let s(u) = 16293*u**4 + 39*u**2 - 10776. Let m(z) = -78*n(z) - 10*s(z). Differentiate m(j) with respect to j.\nAnswer: -16176*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**5\/8 - p**4\/3 + p**3\/12 + p**2\/2 - 2*p + 1. Let d(j) be the first derivative of m(j). Solve d(v) = 0 for v.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 + (5 - 2 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.361866 to 3 dps.\nAnswer: -0.362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggggfgggff. Give prob of sequence gggg.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*(sqrt(75) - -1*sqrt(75) - sqrt(75))**2 + (-4*sqrt(75))**2*-3).\nAnswer: 12150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 20, 37 in increasing order.\nAnswer: -6, 20, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**4\/4 - 2733*j**3\/4 + 1041043*j**2\/4 - 2073891*j\/4 + 258895 = 0 for j.\nAnswer: 1, 455, 2276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 0.5 (c) 1 (d) -1\/2 (e) 2 (f) 12\/29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 (base 2) in base 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 11 (b) -2 (c) -0.4 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x + 3*x - 4*x**3 + (-103*x - 5959 + 5959)*(-26*x + 26*x + 7*x**2) in the form y + a*x**3 + j*x + z*x**2 and give a.\nAnswer: -725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 16 = -6*l. Suppose l*j - 22 = -5*a + 2*j, -4*a + 5*j = -11. Calculate the remainder when a is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.83 minus -445?\nAnswer: 478.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**2 + 0*j**2 - j**2 - 12 to g*j**2 + u + h*j and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - k - 15, 12 = -4*w - 5*k - 5. Solve -5 = -g - w for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w. Let i(j) = j. Let f be i(4). What is r(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/41 and 43\/71?\nAnswer: 2911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 618*v - 7888. Calculate b(13).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1)\/(5 - 3) + 0.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 8*c**2 - 9*c - 1. Let v be k(9). Suppose -6*t + v = -t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/(-12) - (-864)\/(-81).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 14*i**2 + 14*i - 6. Let k be w(13). Suppose -k*m = -18*m. Sort m, 1\/3, 0.1 in decreasing order.\nAnswer: 1\/3, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2*z + 0 + (-3 - 2 + 4)*(-2*z - 2*z + 3*z) + (-5 + 4 + 0)*(5 - 4 + 1)*((-1 + 1 + 3*z)*(-3 + 1 - 2) + 0 - z + 0) to the form t + w*z and give w.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168) + 2*(sqrt(168)*1 + sqrt(168)))\/sqrt(12))\/((sqrt(252) + -2*sqrt(252) - sqrt(252))*-3).\nAnswer: 5*sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-2 + -1 + 23 + -29 + 18)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2543275704 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30546 is divided by 391?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in -0.4, -5, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*i - 36*i**2 - 48*i.\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 45254567791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 414 + -414.3042. Let p = -0.391 - s. Round p to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 25 = 4*z, -3*o = -z - z - 37. What is the greatest common divisor of 6 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67259 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 9:17 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 11 = 4*j, -63 = -15*r - 6*j + 3*j. Let s = -5 + 9. Solve f + 10 = -3*m, -s*m = 6*f - r*f + 13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51\/34)\/(15\/170) + -2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 378964990*x**2 - 182051199*x wrt x?\nAnswer: 757929980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -899\/4 - -226. Sort l, 0, -0.27, -5 in descending order.\nAnswer: l, 0, -0.27, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -360*r**3 - 705\/2*r**4 - 108*r**2 + 16 + r + 575\/2*r**5 - 209\/3*r**6 + 121\/21*r**7. Solve h(x) = 0 for x.\nAnswer: -2\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4.9, -2\/5, -341, 1\/2, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 101781?\nAnswer: 1017810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-800)\/450 + (-400)\/180.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + -12 - 90\/(-5). What is the nearest to -3\/10 in q, -1\/6, 1\/2, 0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2e4 (base 15) to base 9\nAnswer: -817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + i + 258, -f - 15*i + 18*i = -48. What is the remainder when f is divided by 51?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 2916135\/1620 + (-1)\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 394 - 567 + g - 6*g - 13*g**4 wrt g.\nAnswer: -52*g**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -4 + 1 + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.918 rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4 + 0.6. Let w = 0.15 - -0.05. Let p = w + h. Sort 4, -0.2, p in descending order.\nAnswer: 4, p, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2 + 1 = 0. Suppose 26 = 2*s - 16. Let u be (-36)\/s*14\/(-3). What is the highest common divisor of u and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/3 + 82516*i\/3 - 7432128.\nAnswer: -2*(i - 40986)*(i - 272)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 522 and -0.4?\nAnswer: 522.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*q - 426 = 0. Let n(v) = 5 - 2*v + q*v**3 - 4 + v**2 - 141*v**3. Give n(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 12*w**2 - 14*w + 8. Let x = 2174 + -2161. What is z(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 + 4*p + 17. Let h be w(10). Let m = h - -161. What is the remainder when 124 is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122691.7 grams to tonnes.\nAnswer: 0.1226917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -165*p - 112 wrt p?\nAnswer: -165","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -78 + 389\/5. Suppose -5*m - 76 = -4*w - 200, -4*w = 5*m - 116. Let h be 2\/m - 2\/8. Put -0.5, h, t in increasing order.\nAnswer: -0.5, t, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -l + 384. Suppose -3*s - 1273 = -1312. What is the remainder when l is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175241?\nAnswer: 11, 89, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -35531 or -71061\/2?\nAnswer: -71061\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.036 and -238963.1583.\nAnswer: -238963.1223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 71757579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 273 and 27.\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - 11010221100?\nAnswer: -11010221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55664 + 3339757\/60. Calculate the common denominator of -139\/78 and k.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 1266 (c) -62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 30*b + 26. Let n be v(-20). What is n rounded to the nearest 10?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11921223 divided by 2.\nAnswer: -11921223\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 68*u - 1547. Calculate d(-87).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -367615, -735369, -1103129, -1470895?\n\"Answer: -3*i**2 - 367745*i + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 9*y**2 - 7*y - 1. Suppose -2*k - 4*r = -30, -79 + 3 = -4*k - 4*r. Suppose -k = -3*p + 1. List the prime factors of m(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9195 + -606857\/66. Is a not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 p when three letters picked without replacement from {p: 3, e: 1, z: 1, g: 1, c: 2, u: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -750 - -270492?\nAnswer: 26b942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 346 + -499. Let k = 227 + w. Suppose -o + 4*n + 25 = 0, -85 = -5*o + 3*n + k. Calculate the remainder when o is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-12 + -3 + 14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 l when two letters picked without replacement from lwywllylyyyyzcy.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19332207, -19332212, -19332217, -19332222?\nAnswer: -19332227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 2 + 0*w + 5*w + 5 - 1. Let x be h(-4). What is the lowest common multiple of (2 + (3 - -3))*x and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*d - 124 - 70 = 0, -3*h = -2*d + 313. Let c be 2\/(-4)*(-311 + -1). Let y = h + c. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjdll. Give prob of picking 1 g and 1 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 r when four letters picked without replacement from {c: 1, r: 2, x: 1, g: 2, b: 5, z: 4}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64\/1099 + 86622\/996793. Let t = 120163\/16326 + p. Find the common denominator of -37\/4 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -5*q + 124. Calculate the highest common divisor of q and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 76 = -s, -48 = 230699*p - 230698*p - 17*s for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 433 less than 433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -203\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 0*p - 16*p + 11 + 2*p**2. Let q be s(8). Solve -q*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.99 + 0.79. Which is the closest to 0? (a) d (b) 2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a - 5*a + 0*a)*(-2 - 1 + 5) - 3*a + 5 - 2 - 2 to d + s*a and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3548038 - 3548055.000056. Let a = 17 + r. Round a to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2698 = 9094. Suppose -3*l + l = 2*c - 2014, c - 4*l - 1017 = 0. Let k = i - c. Round k to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 419*n + 30891*n + 85*n - 3296475 = 0 for n.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 4*q - 4, -3*n + 0*n - n = n + 22*q + 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**10)**34 assuming m is positive.\nAnswer: m**408","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 324931737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 55*j**2 + 78*j - 1288. Calculate i(54).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-4))**(-11\/9)\/(t**(-1\/15)*t)**(-15))**(3\/13) assuming t is positive.\nAnswer: t**(170\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 4*x**2 + 4*x - 9. Calculate u(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - -19) + 56\/10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 36074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 51020053?\nAnswer: -51020103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252\/60606*-37*2\/14.\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, b: 6, g: 10}. Give prob of picking 1 g, 1 e, and 1 b.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -741 + 11. Let j = 773 + r. Calculate the highest common divisor of j and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 - 15 = 4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 2*d**2 - 18*d - 3. Let s be g(-3). Calculate the highest common factor of s and 2658.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(-42)\/(x*x*(x\/(x\/(x\/(x*x**(1\/3))))*x*x*x)\/x*x*x)**(-3\/13) assuming x is positive.\nAnswer: x**(563\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1331) - 1*sqrt(1331))*-2)**2 + (sqrt(77) + (sqrt(77) + (sqrt(77) - (sqrt(77) + (sqrt(77) - (sqrt(77)*-2 - sqrt(77))))))*2)\/(sqrt(1008)*2) + 1.\nAnswer: -5*sqrt(11)\/24 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7261, -7247, -7235, -7225, -7217?\nAnswer: -7211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -393*y + 148. What is the thousands digit of r(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aze when three letters picked without replacement from zzazaaze.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5071 = 9*f - 1031. Let u = f + -269. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 615 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -99 + 100. Which is the closest to p? (a) 2 (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1334 is divided by 1308?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**7\/210 - d**5\/24 + d**3 + 2*d. Let z(j) be the second derivative of x(j). What is the second derivative of z(k) wrt k?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + 4. Let z = -11 + o. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 0*q**3 - 3*q - 3*q**3 - 4*q**2 + 6*q**2 + 2*q**3. Suppose -4*w = -2*p, -2*w + 4*p = -0*p - 6. Let i be (0 - 0 - 3)*w. What is l(i)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a decade in years?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120211 + -122?\nAnswer: -1121110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**7\/42 + d**6\/30 + d**5\/2 - 5*d**4\/6 - 3*d**3\/2 + 9*d**2\/2 + 2058*d. Solve a(g) = 0.\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76\/473 + 1799\/2365. What is the closest to -0.7 in 1, 7\/2, x, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 18\/(-15))\/(-3 - 677\/75 - -12)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1558604948 to the power of 1\/2, to the nearest integer?\nAnswer: 39479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -244*i - 269 + 269 to the form y*i + w and give y.\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 40 = 4*g, g + 15971 = 3*s + 15977 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -5*r + 1367*y - 1369*y - 0, -515 = 3*r + 37*y for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 - 28*z**2 + 54*z - 50. Let v be a(26). Suppose 0 = v*s + 160 - 172. Solve -11 = -s*x + 13 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, v: 7, q: 6}. Give prob of picking 1 k and 1 v.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -392281287747 + 392281287747 + 3*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -2*u + 8. Suppose u*k - 7*k = 30. What are the prime factors of 1\/(-3*1\/k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -13. Suppose s*d - 168 = -0*d. Calculate the highest common divisor of 63 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -269253 greater than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.88 - -8.88. What is the second smallest value in -2\/11, c, 5\/2, 21\/4?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-6)\/(-1) - 8 - -13\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 14*r + 2. Let d(a) = a**2 + a + 1. Let i(b) = d(b) + s(b). What is the tens digit of i(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5667092111.\nAnswer: 7829, 723859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - k - 5881, -4*k = -7*r + 12*r - 14722. Suppose -3*n + r = -37. List the prime factors of n.\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*k + 2*y - 48, -k + y + 8 = 0. Calculate the least common multiple of 18 and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 - -313?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 108 - 196. Let a = o - -125. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2198 in -1\/3, 8, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.3 plus -10?\nAnswer: -29.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 8:22 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58781752 is divided by 794348.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-1)\/(-1))*(-17)\/306*114.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 6*k**2 - 21368*k + 85487. Calculate d(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u + 87. Calculate f(18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a minute in milliseconds?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 377\/65 + (-1)\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -6*d - 71. Let y(t) = t**2 + 8*t - 202. What is the remainder when y(d) is divided by 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 77*j**2 + 6 - 32*j - 80*j**2 + 5.\nAnswer: -(j + 11)*(3*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 56.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124, -125, -126, -127?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*u - 31. Let n = 4 + -2. What is the least common multiple of u and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10 + 20*d**2 + 3*d**2 - 13*d**2 + 20*d**2 + 5*d = 0. What is d?\nAnswer: -2\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 35*k**2 + 1. Calculate a(-1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 - 2*n - 2*n + 4*n - 24.\nAnswer: 3*n**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 8*a + 485 = 3*a, 0 = -2*w - 4*a + 218. Solve -89*n - 60 = -w*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 - 1665*z**2 - 76280*z - 145860.\nAnswer: 5*(z - 374)*(z + 2)*(z + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 43 + 13 = 0. Solve 3*i = 4*i - s*o + 11, -i + 4*o - 15 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a litre in millilitres?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4145149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 449631\/92781*(-52)\/3\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -31 - 161. Let k be 4\/(-32) + 16902\/w. Suppose 103 = 7*v - k. What are the prime factors of v?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 5*y = 26 + 19, -4*l = 5*y for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336 and 7182?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of g**6\/90 + g**5\/15 - 11*g**4\/18 - 2*g**3\/9 + 7*g**2\/2 + 1315*g. Let y(a) = 0. Calculate a.\nAnswer: -7, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -11*q - 35. Let o(w) be the second derivative of w**3\/3 + 3*w**2 - w. Let i(d) = -6*c(d) - 34*o(d). Give i(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-3 - 72\/(-9)) - -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 20 = 3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 16*f**3 + 2648*f**2 + 109561*f = 0.\nAnswer: -331\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.16 - -0.46. What is i rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 z when three letters picked without replacement from zqqqlqiiq.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 225770960 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 2053.\nAnswer: -1, 0, 2053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 6*w - 2. Let v be p(-5). What is the first derivative of 7 - v*q**3 + 2*q**3 + 3*q**3 - 3 wrt q?\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z + 5. Let c(u) = 2*u + 3. Let k(j) = -5*c(j) + 3*h(j). Let n(l) be the first derivative of -2*l**3\/3 - 5*l**2\/2 - 2*l + 17. Give 4*k(i) - n(i).\nAnswer: 2*i**2 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does -8531 = -0.046094?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + 4034503?\nAnswer: 4034520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1287 = 3*u + 8766. Let s = -24971\/10 - u. Let c = 11897 - 166491\/14. Calculate the common denominator of c and s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 12 = 4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(425)*-1*1)**2)*-4.\nAnswer: -1720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.5 - -2. Let m = 10 - 9.2. Let q = m + -1.3. Put -4\/5, c, q in increasing order.\nAnswer: -4\/5, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -1. Let k = g + 20.9955. Round k to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**6\/120 - d**5\/4 - 5*d**4\/8 + 5*d**3\/6 + 4*d**2. Is w(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.9 and 312.29588?\nAnswer: 315.19588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23.84 + -23.84. Which is the fifth smallest value? (a) -0.3 (b) 11 (c) -3 (d) 0.5 (e) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-13 - -10) - (-2 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 2*o + 3. What is the units digit of r(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307118?\nAnswer: 2, 7, 21937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7 - 1. Let j = y + 0. Let f = j - -0.30001. What is f rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -7*x**4\/4 + 4*x**3\/3 + 5*x**2\/2 + 5*x - 19. Let p(g) = -3*g**3 + 2*g**2 + 3*g + 2. What is -5*p(l) + 2*w(l)?\nAnswer: l**3 - 2*l**2 - 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 120*d**2 - 1574*d - 7. Calculate y(15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + a - n - 80, 5*a - 400 = 3*n. Let p = a - 21. List the prime factors of p.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 5\/(5\/8). Let c be (62\/6)\/((-1)\/(-3)). Let x be c\/o + 1\/(-5). Solve -y = 2*y - x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*v**2 + 37*v**3 - 12*v**3 - 11*v**2 wrt v?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -192102 divided by 64034\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7502.82 centuries?\nAnswer: 750282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f**26*f)\/f*f\/(f**(-1\/46)*f*f))**(1\/4) assuming f is positive.\nAnswer: f**(1197\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*h**3 - 1058*h**3 - 944*h**3 + (-h**2 + 1 - 1)*(0*h - 2*h + h).\nAnswer: -2031*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 9*v + 2*v**2 + v**2 - 7*v**2 + v. Let i(g) = 3*g**2 - 9*g + 1. Let z(o) = -3*i(o) - 2*j(o). What is z(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 88755.58 days?\nAnswer: 7668482112000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o + 0*o + 2*o + (4 - 6 + 3)*(0*o + o + o)*(6 - 11 - 4)*(-6 + 1 - 13) to i*o + b and give i.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -13575*u - 67517. Determine z(-5).\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 5*b + 18 - 139*b)*(10*b - 90 + 90).\nAnswer: -1440*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -12*i**3 + 4*i**2 + 5*i + 3. Let n be u(-4). Suppose -5*w = -h + n, -h + 666 + 149 = 2*w. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 785272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-15))\/((-18)\/(-45))*(-9)\/12\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3310*k**3 + 6799*k**3 - 4212*k**3.\nAnswer: -723*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 546268930 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.053, -0.5, -8\/5?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-12)*-6*2. Let g(l) = 0 - 2*l + l**2 - 2*l + 5*l + 6. What is the tens digit of g(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-12) + 252\/16. Let q be -11 - (-7 - 264 - 4). Calculate the highest common factor of q and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 + 37 - 29)*(-2 - r - 1 - 1).\nAnswer: -64*r - 256","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 e when two letters picked without replacement from {i: 3, e: 7, h: 5, r: 1}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -178 - -239. Suppose -45*n = -z*n + 3104. What are the prime factors of n?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*h + 471 = -j, -5*j + 2*h + 6155 = 6096 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1087 + 374. Let u = -701 - v. Let g = 57 + -37. What is the remainder when g is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.3, 2\/23, 4\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2 - 3 - 11*h - 4. Let p(m) = 2*m + 2*m + m**2 - 8*m. Let g be p(5). Let u(t) = -7*t - 3. What is g*s(f) - 8*u(f)?\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*v + 8 = -3*v, -5*i + 2*v = -10. What is the third derivative of -7*c**2 - 30*c**5 + 11*c**2 + 8*c**i wrt c?\nAnswer: -1800*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7953 - 364904.\nAnswer: -372857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-15))\/((-6)\/9). Let j(s) = s**3 + 10*s**2 + s + 11. Let p be j(-10). Let n be (p\/3)\/((-25)\/30). Is n equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -5, 2\/7, 2, -10, 129, 0.2?\nAnswer: 129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 - 18. Suppose -2*z = -0*z - f. Let c = -10 - -17. What is the remainder when z is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78*x**5 + 922*x + 533*x**5 + x**4 + 532*x**5 - 63*x + 2655*x wrt x.\nAnswer: 22860*x**3 + 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 - 352*y**2 - 417830*y + 104344324.\nAnswer: 2*(y - 329)**2*(y + 482)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18567200417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.38, -391609, -1\/4 in increasing order.\nAnswer: -391609, -2.38, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326 + 56 - 254 = 131*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**4\/3 - 106*y**3 - 410*y**2 + 1550*y\/3 = 0. Calculate y.\nAnswer: -155, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-4))**(-1\/21) assuming n is positive.\nAnswer: n**(4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 519074 is divided by 675?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8776\/565 bigger than 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 143 = 35. Let p be (-2 + 4\/3)\/((-4)\/n). Is 1\/132 at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32 - -31.6. Let a = 1 + 5. Let s = a + -9. Sort 5, v, s in descending order.\nAnswer: 5, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/45524 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -153 + 4340357?\nAnswer: 4340204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12010101000202 + -12?\nAnswer: 12010101000120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2087 at least as big as 0.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-70)\/22 + 4\/22. Let v = n + 6. Suppose -2*s + 4*x - 3*x + 2 = 0, v*s - 3 = -3*x. Is s less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 5 (b) -3\/5 (c) 0.5 (d) -2\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 927092*x**2 - 34595*x + 7 wrt x?\nAnswer: 1854184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (43\/3 + -13)*3\/1158. Which is greater: i or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (168\/(-30) - -5)\/(3\/(-10)). Suppose z + 3 = j, u*j + 2*j = -2*z - 6. What are the prime factors of (-2 + 1)\/(j + 1\/(-260))?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 931170?\nAnswer: 2, 3, 5, 31039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2178.29779 rounded to the nearest 100?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -103621\/22 - -4709. Let d = -10269\/1660 - -252\/83. Find the common denominator of d and v.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 677 + 167. Suppose r = -9*x + 13*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) 1\/9 (c) 2 (d) -3 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 15, -l - 10 = -3*y + 1. Let t be (0 + -46)*(-1 + y). Is 5 a factor of 2\/(-6) - t\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -2\/9 (c) 23 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 2. Suppose -3*q - 32 = -5*z - u*q, -2*z - 12 = 5*q. Suppose j - z*j = -39. Calculate the highest common factor of 117 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-15)*39360\/(-4592).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -7 - -6)\/(30\/(-15)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 32 = 5*o + p, -2*o - 2*p = -36. Let w(i) = i**3 - 15*i**2 + 12*i + 22. Calculate w(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 11064696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9478391 minus 4?\nAnswer: 9478387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/(-15))\/(5\/150*-9*-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 7*o - 6. Let q be a(5). Suppose q*n = 5*n + s - 96, 5*n - 471 = -2*s. Suppose 29 = u - i, -29 = 2*u + i - n. List the prime factors of u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4800.797531 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95212 is divided by 1944.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 659 + -655. Solve 4*y + 13 - 9 = 4*d, c*d + 11 = -y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (11\/(-2) + 0)\/(79\/(-5846)). Is 407 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 296016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 5 + 2 + -8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-3*b + 0*b + b) + 13*b - 3*b + 2*b.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r - 2510491 + 2510445 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 3408550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5434348820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4858, 4552, 4246, 3940, 3634?\n\"Answer: -306*z + 5164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000011011010100000 (base 2) to base 11.\nAnswer: 179506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 - 65846635*b + 65846640.\nAnswer: -5*(b - 1)*(b + 13169328)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -435?\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 97*n**2 + 2337*n + 350. Give l(117).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 10 + 14. Calculate the common denominator of -59\/5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -43, -2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -9*r + 3*r. Let a(y) = 11*y**2. What is the remainder when r is divided by a(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 8*m - 12. Let o = 3 + 6. Let q be r(o). Suppose w = 2*c - 5, 0 = -5*c - w - 2*w - 4. Sort 3, q, c in ascending order.\nAnswer: q, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g, -4*p + g + 77 = -52 - 31. Suppose -4*b + 76 = 2*o, -b - 14 = -2*b - 3*o. Calculate the highest common factor of b and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s - 21. Give m(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2624 is divided by 73.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60354?\nAnswer: 2, 3, 7, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-2 + 0 - (0 - 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1153\/1398 + -2\/233. Let m = 7\/12 + h. Is m > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 666952669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5804 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 r(q) = 3*q - 15. Let h be r(7). Suppose -4*b = -h*b + 190. List the prime factors of b.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008857534224 rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(96)\/(-1*sqrt(432)) - ((sqrt(50)*-6)**2 + -5)*2.\nAnswer: -3590 - sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**6\/120 - 3*u**5\/20 + u**4\/24 - 3*u**3\/2 + 3*u**2 + 14*u. Let a be q(9). Solve a*l - 50 = -10*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 2*j - 23 = -4*d, d + 4*j = 11. Let i = -35 - -55. Calculate the remainder when i is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25527994.\nAnswer: 2, 41, 419, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**3\/3 + 3*m**2 + 2*m + 1. Let b(f) = 2*f**3 + 3*f**2 - f - 2. Let y be b(-2). Determine r(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z - 103 = 4*t - 121, -9*t + z + 3*z - 10 = -33 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48.032 - 48. Let m = z + -0.031624. Round m to 5 dps.\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.01994063*1\nAnswer: 2.01994063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - ((2 - 44) + 6)) + (4 - (-2 + 5)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-15) - 124005\/(-310575). Is 1 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**3 + 7*t**2 + 11*t + 3. Let x(w) = -3*w**3 + 14*w**2 + 21*w + 6. Let b(u) = -5*k(u) + 3*x(u). Let v = 350 - 356. Determine b(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*f**3 + 854130*f**2 + 24929089*f?\nAnswer: 18*f + 1708260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -2. Let t = -5 - -26\/5. Put t, x, 2 in increasing order.\nAnswer: t, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2885665463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 5)*(-49)\/(-3). Let b = 1332 - 1249. Let f = b + k. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5367 + 9470. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31*s**3 + 2165*s**2 - 36806*s + 5880.\nAnswer: (s - 14)*(s + 84)*(31*s - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 - 19*u + 41. Let m be s(4). List the prime factors of 8 + 408 + -14 - 2*m.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 4 + 7)*(k + 0*k - 3*k)*(-14 + 8*k - 2*k + 19).\nAnswer: -348*k**2 - 290*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.2 - 3. Let w be (-3 + 1)*(-13)\/(312\/(-60)). Which is the second smallest value? (a) y (b) w (c) -1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((372\/(-620))\/((-9)\/10))\/((-2)\/204)\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w - 2957 = -2957 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - -2. Let o be (72\/(-90))\/(4\/(-10)). Suppose -o*b - 13 = -5. Sort l, b, 0 in decreasing order.\nAnswer: l, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 22. Let y be -3 + (3 - 1) + r. Suppose y = l + 5*q, 4*l - 3*l - 3*q - 2 = 0. Is l >= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.76 + 4.36. Let y = -12 + 11. Let a = y - -1.2. What is the closest to -1 in d, 5, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8070 and 1213110.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 122 (base 5) to base 13\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h**2 + h - 2. Let t(y) = -1452*y + 1452*y - y**2 - 1. Give -2*t(k) + z(k).\nAnswer: -2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/18081 and -82\/28665.\nAnswer: 1175265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -2, 14, 20, -33?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n - 15 = 9*n, 3 = 4*l - 3*n for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -454 + 447. Let x(q) = q**2 + 5*q - 2. What is x(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/(-606))\/((-34900)\/4188)?\nAnswer: 1\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1293 + 106*x - 1293 to the form z*x + s and give z.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 - 44*t**2 - 174*t + 540.\nAnswer: -2*(t - 2)*(t + 9)*(t + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - ((32 - 29) + -54 + 0)) + -5?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -10.7 (b) -12 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -367703 divided by 3081\nAnswer: -367703\/3081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31\/9? (a) -1\/11 (b) -3 (c) -1\/25 (d) -0.6113\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**2*k**16 assuming k is positive.\nAnswer: k**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*d + 2*d + 3 + d + 5*d with respect to d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + (sqrt(77) - 4*(2*sqrt(77) + sqrt(77))) - sqrt(77))\/((sqrt(35)*-1)\/sqrt(5)) - (sqrt(1100) + sqrt(55)\/sqrt(245))) + 3.\nAnswer: 6*sqrt(11)\/7 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-72))\/((-4)\/(-4)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1831549 is divided by 582.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1755523586121+-69\nAnswer: -1755523586190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 95877571241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 3)*(-3*p + p + 3*p) - 2*p + 0*p + 0*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55335.1*-4.52.\nAnswer: 250114.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 4, -8, 76\/5, -9.95?\nAnswer: 76\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 5*u - 3*u)*(-2*u**2 + 3*u - 3*u) + 31*u**3 + 205*u**3 - 578*u**3 - 2*u**2 + 2*u**2 - 2*u**3 + (-2*u + 0*u + 0*u)*(-u**2 + u**2 + 2*u**2).\nAnswer: -344*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-5)*(-57)\/(-152)*14\/(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 57*p + 711. Let l be v(-18). Solve 72 = -27*o - l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 3*j - 14. Let l be b(-4). Let r = 18 - l. Put -4, -1, r in descending order.\nAnswer: r, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 3, 0.19, -5, -3, -58?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -628, 9, -57, -1, -12.\nAnswer: -628, -57, -12, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1958, -3887, -5816, -7745, -9674, -11603?\n\"Answer: -1929*h - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-152)\/(-48)*-4)\/((-3)\/(45\/(-40)))?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -360029 + 360029 - 10*w**2.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 763367 + 4?\nAnswer: 763371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.1 - 4. Let r = 2 + -12\/7. Let t = -0.11 + 4.11. What is the nearest to r in 2\/11, t, v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -798, -928, -1292, -2010, -3202, -4988, -7488, -10822?\n\"Answer: -20*g**3 + 3*g**2 + g - 782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4205514790 to the nearest integer?\nAnswer: 1614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u - 5. Let n(o) = -6*o - 5. Let y(b) = -7*g(b) + 6*n(b). Suppose 3*t + 10*k - 32 = 5*k, -2*t + 4*k = 8. Suppose 0 = -t*h - 0*h. What is y(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/2 of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5635 or -5568?\nAnswer: -5635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1815650 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/128*24\/(-10).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.62 - -5.22. Sort t, -54, -5\/2 in ascending order.\nAnswer: -54, -5\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157*v = -23*v - 1497450. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -8157*q - 978832. What is w(-120)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 2)*(-2 + s + 2) - s + 1 - 1)*(24*s**2 + 14*s**2 - 20*s**2 - 7*s**3) - 30*s**4 + 68*s**2 - 68*s**2.\nAnswer: -9*s**4 - 54*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/12)\/((-2)\/32). Let g be (k + 76\/(-16))*-4. Suppose -o + 108 = g*j + o, 4*o = 3*j - 108. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + sqrt(1008) + -4*(-1 + sqrt(1008) + sqrt(1008)) + -6*(sqrt(1008) - (2*sqrt(1008) + sqrt(1008))) + sqrt(1008)*-2*5)**2*-2.\nAnswer: -50400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30*(20\/(-245))\/((-336)\/392).\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -191, -219, -265, -329, -411, -511, -629?\nAnswer: -765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 152 in -4, -3\/20, -2, 0.1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 12 = -4*u - 0*u, 0 = 5*u + 2*c + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*x + 11 = -p, -5*p - x = 44. Let w(d) = d**2 + 7*d - 3. Let j be w(p). Calculate the highest common divisor of j and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*z + 463 + 632 - 63 = 0 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - v + 2)*(-1589 + 555 - 992)*((0 + 4 - 2)*(2*v - 4 + 4) + v - v - v).\nAnswer: 6078*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 21*o + 4. Let b(j) = -j + 1. Give -3*b(g) + x(g).\nAnswer: 24*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -120 - -177. Let p = x + -85. Let h = -20 - p. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 3*f**4\/4 - 149*f**2 - 14*f - 1. Let u(c) = -268*c. Calculate m(u(p)).\nAnswer: -4824*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24310 and 52.\nAnswer: 48620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19157 - -19156.34239. Let m = d + 0.651. Round m to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112275 and 3597?\nAnswer: 134617725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 771352?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(13)*2 + sqrt(143)\/(sqrt(11) + -4*sqrt(11)))**2.\nAnswer: 637\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/16? (a) 4 (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/7*((-36)\/(-10))\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 - 2*r + 2. Let v be t(-3). Let m be v\/(-30)*6*1. Suppose 7*l - m*l - 15 = 0. Solve -2*n - 10 = l*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 425*q + 554*q = -1101*q - 60320 for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 227\/3, -1, -3\/5, -2\/15, -33.\nAnswer: -33, -1, -3\/5, -2\/15, 227\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**2*z**(-8)*(z**(2\/7))**43 assuming z is positive.\nAnswer: z**(44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 42562 + -1054?\nAnswer: 41505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*u = 0. Suppose u = -c - 4*c. Suppose c = o - 3 - 2. Solve 10 + 0 = -o*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - h - 1. Suppose 3*s - 17 = -11. Let r(i) = 12*i**3 - 11*i - 11. What is s*r(m) - 22*k(m)?\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 7*u**2 - 207*u - 500. Let d(h) = h**2 - h - 35. Let p(o) = -2*d(o) + s(o). Let p(v) = 0. Calculate v.\nAnswer: -2, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - ((-783)\/(-15) - -2). Let k = w + 54. Let h = 6 + -8. Which is the nearest to h? (a) 0.1 (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36367400 by -1.\nAnswer: -36367400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(4 - 934\/232). Suppose 0 = -3*r - r + d. What is the highest common factor of r and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240287 is divided by 1087?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + 22 + -20.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/21*21)\/(-49).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 4?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m + 1365829. Let l(q) = 2*q**2. Give r(l(x)).\nAnswer: -4*x**2 + 1365829","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57*s**2*w**3 - 2*s**2*w**2 + 17*w**3 - 6*w wrt s.\nAnswer: 114*s*w**3 - 4*s*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -11*w**6\/6 - 3*w**5 - 48*w**2 - 475. Find the second derivative of c(q) wrt q.\nAnswer: -220*q**3 - 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3)*k)\/k)\/k*k**(-2\/5)*k*k*k\/(k\/(k\/(k*k**2)))*k**(1\/5)*((k\/(k**(5\/2)*k))\/(k\/(k*k**(2\/13)*k*k)))**(-35\/3) assuming k is positive.\nAnswer: k**(-21\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -176*k**3 + 6. Let b(i) = -1057*i**3 + 34. Calculate -6*b(n) + 34*g(n).\nAnswer: 358*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1674? (a) 2 (b) 5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -93 - -123. Suppose -26*q = -h*q + 20. Solve -4*o = -q*o + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 609*f + 188*f - 2668 = 1317 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -46*u - 23. Let t(q) = q + 1. Let z(m) = 134*m + 64. Let a(k) = -5*t(k) - z(k). Let p(o) = 4*a(o) - 11*f(o). Differentiate p(s) wrt s.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 28*y**3 - 55847044*y**2 + 71803304*y - 15956288 = 0.\nAnswer: 2\/7, 1, 1994536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -30) + (-25 - -27) + -78\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -164, -328, -492, -656?\n\"Answer: -164*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -24\/7, 1.3, 1\/2, 0, 3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 28 + 25?\nAnswer: 4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29630 and 272824151?\nAnswer: 2963","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/9)\/c)**(-42)\/(c**23\/((c\/(c*c*c**(-3\/2)))\/c*c)) assuming c is positive.\nAnswer: c**(61\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 12 = -3*b. Suppose -5*s - c + 159 = 0, -5 = b*c - 1. Suppose s = 3*l - j, -2*j - 51 = -5*l + 3. What is the greatest common factor of l and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 30*m + 581. Calculate i(-15).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 609.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1237*h = -1245*h + 1952. Calculate the greatest common factor of h and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 3*l**2 + 0*l**2 + 4 - 6. Let p be ((-3)\/2)\/(13\/(520\/12)). Let n be d(p). Round n to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1655 is divided by 195.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j - 2*j + 2*j + 7*j - 3*j + 2*j + (-1 - 1 + 3)*(0*j + 0*j + 2*j).\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*c - 364*c = 379*c - 9810 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 146178752 to the power of 1\/3, to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 3 u when four letters picked without replacement from eueuueeuuuu.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3253 (base 11) to base 7.\nAnswer: -15342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27569*r**3 - 13*r + 11912*r**3 + 13*r.\nAnswer: 39481*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10103, -6, 516, 0.3.\nAnswer: -10103, -6, 0.3, 516","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1738470 to the nearest 10000.\nAnswer: 1740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-252)\/56*(-12)\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 56?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**4\/12 + i**3\/6 + i**2 - 3*i. What is the least common multiple of s(2) and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, 101, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q - 2. Let o be 3 + -4 + 9\/3. Suppose -5*x + 3 = 5*k - o, -5*x + 6 = 4*k. What is l(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(sqrt(8) + (-5*sqrt(32)\/sqrt(4) - sqrt(8))).\nAnswer: -sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -121648*o**4 - 34605.\nAnswer: -486592*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.34 - 0.66. Let w = -18.89 + 19.18. Which is the nearest to t? (a) 4\/9 (b) w (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**1*x)\/((((x*x*x**(-1\/7)*x)\/x)\/x)\/x))**(20\/7))**2 assuming x is positive.\nAnswer: x**(600\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1218 + 0.1782. Let p = 1.6 + -2. Suppose -1 = -s + 1. What is the nearest to 2 in t, s, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (0 - -1)*1. Let d = 0.016 + -21.016. Let v = -20 - d. Which is the third biggest value? (a) h (b) -0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -10*t**2 - 2148*t - 33. Let c(z) = 8*z**2 + 2149*z + 25. Give -4*c(u) - 3*i(u).\nAnswer: -2*u**2 - 2152*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 4*v + 10, -q - 5*v + 15 = 4*q. Let u be -18*((4 - 64\/12) + q). What is the highest common factor of u and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1819*o - 1825*o - 60*o**2 + 3644*o.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*o - 27*o + 8. Suppose -1 = o*n + 23. What is the nearest to -1 in -0.4, n, 2\/17?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*w - 15 = 56*w. Let u be (-32)\/(-2) + (-1 - 1). Solve -3*o = 2*s + 7, w*o - 5*s - u = -49 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2674.\nAnswer: 2, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 393.\nAnswer: 4323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471809 is divided by 23574?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hle when three letters picked without replacement from wemmwwhhlwh.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 28 + -7 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 41133.149 to the nearest ten.\nAnswer: 41130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**2 + 3*q**2 + 3*q**2 + (-1 + 2 + 1)*(-1 + 1 + 3*q**2) - q**2 + 5*q**2 - q**2)*(-5 + 5 + q + (0*q - q - q)*(-1 - 3 + 2))*(4*q + 2 - 2).\nAnswer: 200*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3563970 to the nearest integer?\nAnswer: 1888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 5:05 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + o)*(o**2 - 5*o**2 + 2*o**2)*((-23 + 23 + 10*o)*(-3 + 1 + 0) + 0*o - o + 0*o) as c*o**4 + s*o**3 + i + l*o**2 + p*o and give c.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/8 - 13631*r\/2 + 490797\/8.\nAnswer: -(r - 9)*(r + 54533)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*g = 715 - 340 - 303 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6) - 18\/216?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t**2 + 2 + 3 - 2 + t**3. Let r be f(4). Suppose 0 = r*p - 2*p - 1. Which is greater: p or 4\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 54*t - 578. Determine o(15).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 46 + -228\/5. Let y = 0.10496 + -60.10496. Which is the closest to d? (a) 5 (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11437593.\nAnswer: 3, 3812531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39296297 is divided by 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42733 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/1000 and 61\/1100.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*g - 14 + 40, -q = 4*g - 42. Suppose 5*y = 3*y + 696. Let b = y - 238. What is the highest common divisor of b and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10802?\nAnswer: 2, 11, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from {w: 1, j: 3, y: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 96 + -134. Let s = 42 + b. Suppose 36 = -5*c + 2*x + 94, 0 = -s*x + 4. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 0, 3\/7, -96413, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 475 and 120156?\nAnswer: 3003900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 1, 0, 11, 40?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v**3 - 2*v**3 + 0*v**2 + 15 + 52 + 6*v**3 - 2*v**2 to z*v**3 + r + b*v**2 + x*v and give r.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 35*w**2 - 5560*w - 270455. Determine a(-45).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28725 and 225.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 1 + -5 + 27 + -18.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 344\/(-1204) - (0 + (-144)\/(-35))\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -2*s + 14, -2*d - 15 = -5*s - d. Suppose 2*q + 0 + 8 = 0, 2*b - s*q = 0. Let g(v) = 2*v + 41. Does 33 divide g(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - 1 - -18 - (-2 + 19 - 1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + 25. Find the third derivative of -5*p**4 + 4*p**2 - 36*p**2 + 5*p**3 - 9*p + p**4 + v*p**2 wrt p.\nAnswer: -96*p + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 7:14 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 5*c**2 - 8*c + 1. Let b be a(-7). Let i = -1.33 + 1.63. Are i and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 4) in base 9?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*q**5 + 14*q**5 + 14*q**2 + 19*q**5 - 10*q**5 wrt q?\nAnswer: 1560*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8238, -16469, -24698, -32925, -41150, -49373, -57594?\nAnswer: -65813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*-3*(-2114)\/(-453).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 92*y**2 - 6479*y - 176636. Calculate c(-21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 9*m + 11. Let a(h) = 5*h + 6. Let c(b) = 5*a(b) - 3*l(b). Suppose -4 = -w - 3. Let g = 1 + w. Let j(t) = -t**2 + 5*t + 7. What is g*j(u) + 5*c(u)?\nAnswer: -2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 times -0.285?\nAnswer: -13.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 30 = -3*p, -3*p + 337 = -2*r - 355 + 716 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3*254\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zusumbmuqsqbumbsqqbu. What is prob of picking 2 b, 1 u, and 1 q?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*w + 329 - 1337. Suppose 0 = -2*d - 4*r + 2 - 82, 4*r - 130 = 3*d. Let x = w - d. What is the remainder when 102 is divided by x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 2. What is n(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(3\/18)*2\/6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 23 + -2 + 3\/(-2 - 1). Suppose -10*b + o = -14*b. Let i(s) = -s**3 - 6*s**2 - 5*s + 6. What is i(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1575*l - 274*l + 70044 = 232*l - 285*l for l.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = 5*o - 393. Suppose o = 6*k - 2*k. Determine m so that 855*m - 843*m - k + 2*m**2 + 0*m**2 = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 8. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -99*i - 44. Let k(c) = -28*c - 14. Let j(q) = -7*k(q) + 2*n(q). Let m(x) = -x + 9. Calculate 2*j(u) - 3*m(u).\nAnswer: -u - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1401 + -5?\nAnswer: 1374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83*k**3 + k**4 + 0*k**2 - 40*k**3 - 2*k - 45*k**3 - 3*k**2 to i*k**4 + j*k**3 + s*k**2 + p*k + r and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -32, -2\/7, -0.47, -114?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**2 + 56*d - 576 = 0.\nAnswer: -36, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -156710*c**3 + 313420*c**3 + 1 - 156712*c**3 + 188*c**2 to the form a*c + u*c**3 + b*c**2 + s and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*f - 83*f - 54 = 0. Sort -1, 4, f, -8 in ascending order.\nAnswer: f, -8, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -3\/34 (b) -5 (c) 3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 552*j**2*s**3 + 722*j**2*s**2 - s**6 wrt s.\nAnswer: 3312*j**2 - 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/6)\/((-2)\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/19374 and 21\/74.\nAnswer: 716838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/18 - (-922)\/18. Let x be (-6)\/r*(-3 - -2). Let o = -5 - -2. What is the closest to -2\/5 in x, o, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -6*a - 283. Let c(u) = -2*u**2. Give g(c(o)).\nAnswer: 12*o**2 - 283","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 - 12 - 46)*(-2*x - 2*x + 0*x)*(x - 2*x - 3*x).\nAnswer: -608*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 59 - 11. Calculate the highest common factor of v and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237475 - 308*y + 24*y + 237475 + 20*y.\nAnswer: -264*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 8*u**2. Let b(r) = -343425*r**2. Determine h(b(i)).\nAnswer: 943525845000*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 232352\/58 + (-124)\/1798?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 z, and 1 h when three letters picked without replacement from zazrrafrfahhffzah?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 31139*v + 1771668. What is g(-57)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfxhhsxjhssh. What is prob of sequence fs?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 6*r**2 - 2*r - 1. Let k(s) = 7*s - 1. Let v(o) = 3*o. Let l(b) = -2*k(b) + 5*v(b). Let m be l(-8). Is g(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -355 - -327. Let c(i) = i**2 + 28*i + 1. What is c(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*s = 6, 3*s + 3 = m + s. Which is the closest to m? (a) 2 (b) -3\/7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of n**4\/4 - 14*n**3\/3 - 7*n**2 - 12*n - 56. Let r be p(15). Solve -r*j = 3*s + 27, -2*j - 33 = -2*s + 7*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 421*s - 416*s - 10, 4*s - 14 = -3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -14. Solve 0 = -c*u - 4*q + 16, 0*u + u + 4*q - 1 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218369659.\nAnswer: 23, 71, 133723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1239982 * 6.\nAnswer: -6.7439892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05752469167 minus 0.1?\nAnswer: -0.15752469167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**6\/60 + v**5\/40 - v**4\/4 - v**3\/3 + 2*v**2 - 22*v. Factor h(t).\nAnswer: (t - 2)*(t - 1)*(t + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 1 = -4*u + 44, -2*d - 50 = -4*u. Solve 12 = u*q - 0*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 92806948 + 5?\nAnswer: 92806953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 402*c*p**3 + 9*c*p**2 - 203728*c*p - 2*c - 17*p**2 - p wrt p?\nAnswer: 2412*c*p + 18*c - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2172 + 71. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -456*p**4 + 228*p**4 - p**2 + 0*p**3 + 229*p**4 + 2*p**3 + 22*p as x + l*p**2 + a*p + h*p**4 + i*p**3 and give a.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 1. Which is the third biggest value? (a) -2\/5 (b) -1\/4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 383.2225m to micrometers.\nAnswer: 383222500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/930 and -83\/81460.\nAnswer: 7575780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 72.1875 to 0 decimal places.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 2:21 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p**2 - 7532*p + 44971. Give i(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(16\/132)*321\/((-4280)\/40).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**4\/3 + 50*p**3 - 5917*p**2\/3 + 7300*p - 21316\/3 = 0.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-3 - 3 - -1 - -13 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1223, 8, 344, 0 in ascending order.\nAnswer: 0, 8, 344, 1223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331de (base 16) to base 11.\nAnswer: 133340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 57*k**2 + 10264*k + 612505. What is x(-59)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(2736) + 1)**2 + (sqrt(19)*4 + 2)**2 + 0)*-5.\nAnswer: -15220 - 200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 18. Let x be (z + 120)*3563584\/3. Suppose 0 = -14*w - x - 180856640. What is w rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 3 (b) 34.44 (c) -0.1 (d) -0.3 (e) -48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298*r + 1907*r - 340*r - 304*r - 305*r - 301*r - 357*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -36*g**5 + 192*g**4 - 304*g**3 + 8*g**2 + 340*g - 200 = 0.\nAnswer: -1, 1, 5\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8, 34, 60, 86, 112, 138?\n\"Answer: 26*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 6:56 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -11*h**5\/15 + h**4\/24 + 35*h**3\/6 + 24*h**2. What is the first derivative of g(i) wrt i?\nAnswer: -88*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(-4\/3)*n*n*n)\/n**(-2\/9))**37*((n**(1\/4)*n)\/(n\/(n\/n**(1\/2))))**(-4) assuming n is positive.\nAnswer: n**(1268\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 1\/6 + (-44)\/(-24). Let x be 1\/(-1*(w + 2)\/174). What is x rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1282810702?\nAnswer: 2, 877, 731363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.068, 2\/15, -166\/881, -4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**3\/5 - 6598*t**2\/5 + 18396*t = 0. What is t?\nAnswer: 0, 14, 3285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11\/5, -4\/19, 0.5, -0.01, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2623?\nAnswer: 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 279 and 186?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 10:12 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 77.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17.5 + 9.8. Let o = -6.7 - p. What is the closest to 1 in o, 12, 1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c**2 + 14*c + 6. Let i(l) = -3*l**2 + 13*l + 6. Let s(x) = -4*f(x) + 5*i(x). What are the prime factors of s(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 11 - 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 302970?\nAnswer: -302970.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -370458.804 * 0.1.\nAnswer: -37045.8804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 - -193. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -i**3\/6 - 23*i**2\/2 + 368*i. Determine n(-24).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2162 less than -9280.8?\nAnswer: -9280.5838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 156\/75) + (20 - 16152\/600).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 74*p - 3726. What is k(50)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 5*i**3 - 14*i**2 - 2*i + 29. Suppose -q + 5*o + 2 = 0, -42 = -3*q - 5*o + 2*o. Is w(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -683\/56 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 9:58 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36336.\nAnswer: 2, 3, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide -3*21\/9 + 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 2*r**2 - r - 1. Let d = 143 + -66. Let c be (-168)\/d + 4\/22. Determine x(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7886984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of 3*u**4\/4 + u**3\/3 - 3*u**2\/2 + u - 1. Let h = -70 + 160. Calculate the remainder when h is divided by i(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 77 + 280 = 0. What is the highest common divisor of t and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5867\/23 - 255. Put 0.3, -1, g in decreasing order.\nAnswer: 0.3, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 4*s + 8, 15*s - 4 = 17*s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**5\/7 + 19*o**4\/7 - 11*o**3 - 19*o**2\/7 + 78*o\/7 = 0. Calculate o.\nAnswer: -1, 0, 1, 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2040 and 6290.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99*s**2 + 54*s**2 - 63*s**2 + 2)*(-5 - 2*s**2 + 5).\nAnswer: -180*s**4 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {e: 4, g: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*a + 26*a**2 - 30*a - 11*a**2 - 16*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/57, -781, 4, 1\/6?\nAnswer: -781","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 2*t**2 - 2*t**2)*(-2 + 1 - 1)*(603*t + 4*t**2 + 9*t**2 - 519*t).\nAnswer: -52*t**4 - 336*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3042)\/(-30) + 3\/5. Is 1\/((-2)\/p*-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 384869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -133 - -140. Suppose -q*u + 10 = -67. Calculate the highest common divisor of 11 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqptokkqphp. Give prob of sequence tqk.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 + 33*t + 104. Calculate n(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*j - 47*j + 21*j - 5*j.\nAnswer: -19*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 5*h**2 - 5*h + 3. Let a(j) = -j**2 + j - 1. Suppose 7*v = 5*v - 940. Let z be (-4)\/(-18) + v\/90. Give z*a(d) - s(d).\nAnswer: -d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-21)\/(-35) + 7\/5. Let w(n) = 0*n**2 - 2*n + 4*n**q - 1 - 2*n**3 + n**3. Let g be w(2). Solve 3*o = -4*d - 13, 4 = -4*o + 5*d - g for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 22*f + 12. Let z = -26 - -14. Let b(k) = -9*k - 5. Let s be 16\/6 - (-6)\/(-9). Suppose -s*m - 15 = m. Calculate m*x(w) + z*b(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5406, 21545, 48464, 86169, 134666?\n\"Answer: x**3 + 5384*x**2 - 20*x + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 473*d + 27899. What is f(53)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 3*o - 120 = 0. Calculate the highest common factor of 40 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = j + 428700, 4*j + 38*i - 41*i = -1714800. Round j to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, -1, -56334, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5\/2 + 244*z**4 + 729*z**3 + 728*z**2 + 485*z\/2 = 0 for z.\nAnswer: -485, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -1\/6 (b) 1\/3 (c) 7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) - (sqrt(720) + -4*(-1 + sqrt(720)))**2)*-4 + (sqrt(320) - (sqrt(320)*-1*-1)**2 - (2 + (sqrt(320) - sqrt(320)*-2))**2).\nAnswer: -1288*sqrt(5) + 22780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -21.59. Let k = 1.11 + l. Is -2\/3 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*x = 0. Let n = 7370 - 6930. Suppose -13*v + 2*v + n = x. What is the highest common divisor of 10 and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -5*f - 25, -2*u - 4*f - 7 + 1 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 148*h - 107*h + 713 = -995 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-6)*j*j\/((j*j*j**(-3))\/j)*j)\/(j**(2\/11)\/(j*(j*j**(-10)*j)\/j)))**(-1\/32) assuming j is positive.\nAnswer: j**(101\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 210184501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 319765548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74\/2 + (-11118)\/306.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -35c9 (base 13) to base 2\nAnswer: -1110110110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66756492 and 2088?\nAnswer: 133512984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) 6 (c) 13081 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -101 divided by 101\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z - 6. Suppose 0 = -v + 2*x + 284 - 290, 5*v = 2*x + 10. Calculate the remainder when n(-4) is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 9:49 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -6*d**5\/5 - 3*d**2 + 6*d + 1. What is the first derivative of l(s) wrt s?\nAnswer: -72*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1807082, 3614225, 5421368, 7228511, 9035654?\nAnswer: 10842797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + 1*sqrt(891) - (-4*(sqrt(77) - sqrt(77)*2) - sqrt(77))\/(sqrt(28)\/(sqrt(4) + sqrt(4)*2)))**2*4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1496*b + 1477*b + 285 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*d**(-32)))\/d**17 assuming d is positive.\nAnswer: d**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11920510?\nAnswer: 2, 5, 7, 170293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 730744 - 2192230\/3. Determine o, given that 4\/3*o**3 + 0 + 0*o - b*o**4 - 2\/3*o**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 893072712?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/3, 4, -13, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 42*m - 46*m + 22 + 4 = 0, -21*r - 3*m = 111 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126, -1096, -3782, -9060, -17806, -30896, -49206?\nAnswer: -73612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/(-63))\/((-51)\/(-357)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, x: 2, d: 1, u: 6, j: 2, e: 3}. What is prob of picking 2 x and 1 l?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 3. Let l = d + -2. Let b = 2.98 - -0.02. What is the nearest to -1 in 0.2, b, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aayyaya. What is prob of picking 1 a and 2 y?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 608?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4622 a factor of 1487609188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 4*c - 26 + 1, 5*w = -c - 11. Let q be (-60)\/9*3 - w. Which is smaller: -18 or q?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ludpvpt. What is prob of sequence pld?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51931\/14598 - 3\/1622. Let t = 227\/63 - x. Let n(a) = a - 19. Let c be n(19). Are t and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 3*y**2 - 5*y + 3. Let k(o) = o**2 + 4*o - 1. Let a be k(-3). What are the prime factors of i(a)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -23. Put 0, c, -1, -5 in decreasing order.\nAnswer: c, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1522, 0, 10 in decreasing order.\nAnswer: 1522, 10, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 1. Let i(g) = -23*g**4 - 7*g - 13. Let x(s) = -i(s) - 6*z(s). Find the second derivative of x(c) wrt c.\nAnswer: 276*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.58 + -34.98. Let x = -24 - t. Let k = 0.2 - x. What is k rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -23*m - 16, m - 2*m - 22 = -5*r - 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*g*p**5 + 6609668*g*p**3 - 27729260*g*p**2 - 8*g*p wrt p.\nAnswer: 300*g*p**2 + 39658008*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -58674728975.43 plus 0.18?\nAnswer: -58674728975.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c**3 - 765*c + 765*c - 37*c**3.\nAnswer: -29*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a8a - -23ac?\nAnswer: -6ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.716 - -50.716. What is the nearest to s in 4, 5, -59?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 364680449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r + 0*r**3 + 6*r**2 + r**3 - 5*r + 0 - 2. Let g be h(-6). What is the greatest common factor of g and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2602 + -0.26. What is u rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - (((-5750)\/(-2300))\/((-10)\/264) + 8).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**3\/7 - 879*d**2 + 8509755*d\/7 - 2341894575\/7 = 0. Calculate d.\nAnswer: -3061, 505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3304935 and 11750880?\nAnswer: 105757920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 - 3 + 3)*(27 - 47 + 36) + 3 + 7 - 3)*(8*d - 27 + 27) as v*d + g and give v.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s**2 - 101*s - 13. Let g(p) = -8*p**2 + 203*p + 30. Calculate 3*g(d) + 7*v(d).\nAnswer: 11*d**2 - 98*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2.157 + 114895.53\nAnswer: 114897.687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -14*y**2 - 14*y + 4. What is p(-2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98 - -102. What are the prime factors of 25916\/93 + (m\/(-6))\/1?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50274 and 1134.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*o*u**3 - 9*o*u**2 - o*u - 556*o + 22*u + 41 wrt u?\nAnswer: -12*o*u**2 - 18*o*u - o + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66378017 is divided by 69?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*i**4 + 3*i**3 - i**2 - 789*i wrt i.\nAnswer: 180*i**2 + 18*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from hllhlllhlhllhhlh?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -12. Let h = c + 4.8. Put h, -0.4, -1\/3 in increasing order.\nAnswer: -0.4, -1\/3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (14\/7)\/(2\/2) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -7*l - 4. Let h be (-3102)\/286 - (-6)\/(-39). Let y(i) = -36*i - 21. Calculate h*g(r) + 2*y(r).\nAnswer: 5*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/12884320 and 101\/1288432?\nAnswer: 12884320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s + 1. Suppose 5*f - 191*h = -187*h + 24, -4*f - 3*h + 13 = 0. Let y(d) = 0 - 3 + 1 - 6*d. Calculate f*y(b) + 11*l(b).\nAnswer: -2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-119)\/(-2))\/((-81)\/(-72)). Let l = y - 5722\/99. Calculate the common denominator of ((-3)\/12)\/(10\/136) and l.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 66 = -56. Let c be 17\/s + (-6)\/(-45)*-3. What is the common denominator of -47\/10 and 7\/3 + 0 + -1 + c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2463291*c**2 + 11718*c + 99603. Let k(h) = 841*h**2 - 4*h - 34. Let a(i) = 2*j(i) + 5859*k(i). Let g(n) = 6*n**2. Calculate g(a(t)).\nAnswer: 4203414*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**2 + 275*q - 148 + 106 - 6488*q**6 + 44 wrt q?\nAnswer: -778560*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 9:58 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 104?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -321*j - 2545. Let u be l(-8). Let h(o) = 2*o - 66. What is h(u)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -589*u**2 + 72977*u - 72977*u to the form n*u + m + b*u**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 8, -25*z = -v - 24*z. Solve b - 12 = -5*d - 35, -b = v*d + 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -419, -754, -1107, -1484, -1891?\n\"Answer: -y**3 - 3*y**2 - 319*y - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30448 + -7019. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7546544*b**3 + 16010617 wrt b.\nAnswer: 22639632*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8756908 years to millennia.\nAnswer: 0.0008756908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -114*u**2 - 104*u**2 + 217*u**2 - 2. Let x(i) = i**2 + 1. Determine 4*t(o) + 10*x(o).\nAnswer: 6*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35689434?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-4) + ((-1589)\/4)\/7. Let t = -55 - i. Solve t - 4 = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -645?\nAnswer: -641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -2*c - 82, 4*g - 15*g = -8*c - 0*c - 70 - 230 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297 = 43*p - 76*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 3:00 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 684, 683, 682, 681?\nAnswer: 680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 20928758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 + 1)*(-4*b + 5*b + b) + 3*b + b - b + (-1 - 1 + 4)*(b - 3*b + b) in the form v + o*b and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321460?\nAnswer: 2, 5, 16073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/7)\/(a\/a**(-20))*(a**5)**43 assuming a is positive.\nAnswer: a**(1356\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -168 + 338. Suppose v = s + s. Solve -s + 20*y + 35 + 15*y**2 - 17*y**2 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7784.\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.3 and -4.7?\nAnswer: 10.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 160.9\nAnswer: -804.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22242092?\nAnswer: 2, 47, 193, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 divided by -102?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.5, -1\/9, 16895, 1, 3, -490?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18447 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 81*v**4\/4 - v**3\/3 + v - 7. Calculate the remainder when s(1) is divided by -12*((-21)\/(-4))\/(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 1.2. Let n = 36.3 + -36. What is the closest to y in 4, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 13*b + 246. Let n be o(-17). Suppose -19*a = -n*a + 78. Calculate the greatest common factor of a and 1157.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 416227*u**2 - 86604*u - 4.\nAnswer: 832454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2160317 to the nearest ten thousand.\nAnswer: 2160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-2) - 816\/260. Let k = u - 6\/13. Factor -k*q**4 + 0*q - 2\/5*q**5 + 0 + 2\/5*q**3 + 2\/5*q**2.\nAnswer: -2*q**2*(q - 1)*(q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0 (b) -6\/19 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 11:41 PM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377) - (sqrt(1377) + (sqrt(1377) + 1 + sqrt(1377) + sqrt(1377))**2 + 0).\nAnswer: -12394 - 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 7986, 14, -2, 5, 0, 3 in decreasing order.\nAnswer: 7986, 14, 5, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 14, -3\/7, -0.002, 1, -26.6, 5, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 5*y**3 - 152*y**2 - 149*y - 228. What is i(31)?\nAnswer: -1964","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/7))**36*(l**(-1\/2))**20 assuming l is positive.\nAnswer: l**(-142\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 671 and 488?\nAnswer: 5368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -6*a**2 + 1. Let y(j) = -2*j**3 + 15*j**2 + 63*j - 3. Determine -2*s(q) - y(q).\nAnswer: 2*q**3 - 3*q**2 - 63*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 410 or 413?\nAnswer: 410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2\/3 + 6551*z\/3 + 323640 = 0.\nAnswer: -145, 6696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, -0.3, -8, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 10*s - 14. Let w be p(11). Let j(b) = 2 - 2*b + 5*b + 5*b**2 - 4*b**2 + 0*b**2. Let a be j(w). Solve -3*t - 5 = -a*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 6*i**2 - 7*i + 10. Let f be n(5). Let p be 7 - (-3 - f)*1. Suppose -p*k = -8*k - 30. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hpftthyq. Give prob of picking 2 h.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*p)*(3*p - 4*p - p) - 4 + 4 + p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -101 - -32254402?\nAnswer: 32254301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -4 - (-6 - -11) - 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -98 + 103. Which is the third biggest value? (a) -5 (b) z (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h + 2*h - 4*h)*(-9780*h**2 - 220*h**3 + 9780*h**2) in the form s*h**3 + v + d*h + q*h**2 + l*h**4 and give l.\nAnswer: -220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1684810, -3369580, -5054350, -6739120, -8423890?\n\"Answer: -1684770*d - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 376027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -3*w. Let d = w + 14. Calculate the highest common divisor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(9\/7))**(2\/95)\/(j**(-4)*j**17) assuming j is positive.\nAnswer: j**(-8627\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = -5*y. Suppose -5*i + 4*o = -83, y = -3*i + 4*i + 3*o - 9. Suppose 0 = -2*c - 3*k + k + 18, 5*k = 5*c - i. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -483798 + 241902 + 59*z + 241896.\nAnswer: 59*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 21*j + 40. Let h be 1*(-19 - -65)\/2. Calculate s(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 627\nAnswer: -1\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 10:22 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2451 - -4181. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1466548047*c**3 + 1466548050*c**3 - 2933096079*c**3.\nAnswer: 18*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10376199 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29.9 - -29.8. Which is the third biggest value? (a) -3 (b) x (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-643 + 6*r + 643)*(-4 + 2 + 1) + r - 2*r + 0*r.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 764 and 14?\nAnswer: 5348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 33120513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 1\/11, -0.1, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + -6. Let t = z - -25. Let x(g) = -g**3 + 4*g**2 - 4*g + 3. Let h = -66 - -63. Let l(j) = -2*j**3 + 9*j**2 - 9*j + 7. Calculate h*l(u) + t*x(u).\nAnswer: -u**3 + u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence udm when three letters picked without replacement from dudzdmddzuddudddddd?\nAnswer: 13\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -495*h**4\/4 + 56*h**3 + 6*h**2 + 1313. Find x such that m(x) = 0.\nAnswer: -2\/33, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-6)*r*r**6\/r)**(-15)\/((r*r*(r\/r**(1\/4))\/r*r)\/r**5)**(-2\/25) assuming r is positive.\nAnswer: r**(-9759\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 145019108 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -254 (base 6) to base 4\nAnswer: -1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/3681450 and 13\/145800.\nAnswer: 14725800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t + 25. Let i(w) be the second derivative of 37*w + 1\/3*w**4 + 0*w**3 + 2 + 0*w**2. Determine s(i(p)).\nAnswer: -8*p**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 248430200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 776718941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 + (4 - 2))\/((-10)\/2305). Let y = -919 + w. Determine x, given that 2\/7*x**y + 0 - 2\/7*x**2 + 0*x = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 36, 41, 46, 51, 56, 61?\n\"Answer: 5*f + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 9) to base 4.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 26269392301 and -7?\nAnswer: 26269392308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*b*q + 67*b - 7*q + 2 wrt q?\nAnswer: 12*b - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*v - 1 = 68*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = 5*v + 68 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*l + 2 = 7, 4*t + 4*l = -56. Let g = t + 21. Determine z, given that -10\/3*z**3 + 4\/3 - 6*z + 4\/3*z**5 - 2*z**g + 26\/3*z**2 = 0.\nAnswer: -2, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 21*u**3 + 3*u + 4. Suppose 8*f + 11876 = 11948. Let s(l) = 43*l**3 + 7*l + 9. Calculate f*c(d) - 4*s(d).\nAnswer: 17*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-3))\/s**(-3\/4))\/(s*s*(s*s**(3\/7))\/s*s\/(s*s**(-4)\/s*s)) assuming s is positive.\nAnswer: s**(-215\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*a**3*f**3 - 38*a**3*f - 2*a**2*f**2 + 3*a*f**3 + 473*f**3 wrt a.\nAnswer: -144*f**3 - 228*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2*r - 12. Suppose -5*f = -k + 10, r*k - 5 = 3*k. Is (-1)\/f + 1 + 22 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1107\/1081 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 8*z = l + 39, -4*l - 28 = -4*z. Which is the second biggest value? (a) -4 (b) z (c) 124\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 6:13 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -2 (b) 4 (c) 2.83 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8613579 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -2*v + 5*p, -v - p + 3*p = 32. Let h = v + 34. Suppose 3*d - 4*o - 24 = h, -2*d + 3*o + 8 = -d. Calculate the least common multiple of 12 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17025 (base 11) in base 10?\nAnswer: -23985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 4:48 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m**2 - 23*m - 8. What is the remainder when 90 is divided by p(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1.9, -48, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -2*s + 3. Let d = s + 25. What is the remainder when 23 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(99) + -5 - sqrt(99)) + sqrt(99) + (sqrt(99) + 1 + 5 - sqrt(99)))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3297\/16535 + -2\/3307. Which is the nearest to -1? (a) 7 (b) s (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 80.2 - 112. Let q = -31.80000604 - w. What is q rounded to seven decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/817068 and -79\/1938.\nAnswer: 263912964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u - 2*u - 2*u. Let h(m) be the third derivative of -m**4\/24 - 109*m**2. Calculate h(a(l)).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 43 = -49. Let g = 32 - o. Is g > 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1285 times 5?\nAnswer: -6425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/5916 and -73\/1899471.\nAnswer: 129164028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -eb (base 15) in base 2?\nAnswer: -11011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 9 - 15)*(-s - 3*s + 5*s).\nAnswer: -33*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = c - 0. Let r = 58 - 53. Calculate the lowest common multiple of c and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 5:54 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119, 212, 303, 392, 479, 564?\nAnswer: 647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 647 >= 66787\/103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 249, 532, 1297, 2784, 5233, 8884?\nAnswer: 13977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64 - 135 - 2*z - 189 + z)*(2*z**4 - 3*z**4 + 6*z**4).\nAnswer: -5*z**5 - 1300*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4915, -5570, -6225?\n\"Answer: -655*v - 4260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a**2 - 12 - a**2 - 5*a**2)*(-a**2 + 2 - 2)*(0 + 3 - 2) to the form s + g*a**2 + u*a**4 + c*a + n*a**3 and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -183?\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = c + c. Suppose r + c = 10. Suppose -2*v - r = 4*b, -5*v + 0*v + 2*b = -16. Solve -4*o = 5*l + 4, 3*o + 4 = v*o - 2*l for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -466876\nAnswer: 233438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5796.9 - 5797. Which is the biggest value? (a) -1\/32 (b) x (c) -2 (d) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 2*j**4 - 2*j**3\/3 - 3*j**2 - 3*j - 14. Does 59 divide f(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 6, 0*x - 4*q = -3*x - 673. Let b = -149 - x. What are the prime factors of b?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a - 875. Let i(m) = -418*m + 766*m - 351*m. Determine i(n(l)).\nAnswer: -6*l + 2625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 237351669 not equal to 237351669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 5*c**2 - c + 7. Let f be z(5). Suppose 4*o + 6 = -18. Let b be (-7)\/(-6) - 2\/o. Which is greater: b or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u + 2 - 2 + (-13*u + 2*u + 3*u)*(-3 + 5 - 1)*(52 - 33 + 57)*(-3 + 0 + 1).\nAnswer: 1217*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 89 + (78 - (146 - -24)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/127512 and -47\/2499640?\nAnswer: 157477320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 368480912 to the nearest integer?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**5\/330 + 14*s**2. Determine r so that t(r) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0681 * -5852\nAnswer: 398.5212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-8\/11)\/a*a**(-3)*(a*a*(a**(-3\/5)*a)\/a*a)**(11\/2) assuming a is positive.\nAnswer: a**(466\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 240343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3336512 is divided by 104257.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -23, -28, -31, -32, -31, -28?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -103964 - -59064. Round a to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1451, -2115, -2803, -3533, -4323, -5191?\nAnswer: -6155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 14. Let f be l(-14). What is the lowest common multiple of 14 and 1 + 2 + f + 15?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**2 + 0 + 0. Let k(w) = -232 - 2*w + 8*w + 89 + 143. Calculate i(k(m)).\nAnswer: -72*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 290041491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 19*g + 29*g**2 - 24*g**2 - 8 as w*g**2 + v*g + d and give v.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 11417975519.\nAnswer: -11417975515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 81 and 261.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/91 and -37\/78.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1358 divided by 4.\nAnswer: 679\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/1102 or -2101?\nAnswer: -2101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 57306360661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-35))\/((-3)\/(-1))*3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1104 + -699.1104. Let m = 1061 + u. Let y = m + -426.2. Round y to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/13 (b) 866\/143 (c) -3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 176*h*y**3 + 4*h*y**2 + 28*h*y + 8*y**2 + 902*y wrt y?\nAnswer: 1056*h*y + 8*h + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 117\/6*(-4)\/(-3). Suppose -2 = 4*i - 22. Suppose -2*n + i*p + 57 = 0, 5*p - 16 - 5 = -n. What is the greatest common divisor of n and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -420 + 14495.\nAnswer: 14075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9106 + -8992. What is the remainder when 227 is divided by j?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 14*c + 41. Let o be h(-15). Calculate the highest common divisor of 4 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -448?\nAnswer: -448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -38.7660441 and 73.\nAnswer: 34.2339559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -0.06, -7078 in descending order.\nAnswer: -0.06, -7, -7078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**2 - q**3 + 0 - 3*q - q**3 + 1. Let b(m) = m**3 + m**2 - m + 1. Let h(p) = -3*b(p) + k(p). Differentiate h(s) with respect to s.\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -28*x. Let b be c(4). Let d(j) = 38*j - 941. Let s be d(20). Let z = b - s. Round z to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 148 = -23*r - 18*r. Solve -o - 6*i - r = -7*i, -i + 7 = -2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2468394 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8417*z**2 - 8417*z**2 + 40*z**3.\nAnswer: 40*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 6*g**2 - 5*g + 7. What is the remainder when 96 is divided by j(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29420899?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.4 (b) 0.14 (c) 4\/7 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 78\/156 + (-9)\/42\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -132 - -644085?\nAnswer: 643853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2307\/893, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20456 (base 8) to base 12.\nAnswer: -4aba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 - 100001100000001000?\nAnswer: -100001011111111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 70 - 70. Solve 3*b - 8 + 29 = -5*o, j = 5*b + 4*o + 22 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 15*i + 6. Suppose 0 = 3*o - 2*j + 49 - 225, o = 2*j + 60. What is the remainder when o is divided by n(16)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/9 - 2*a**2\/9 + a\/9.\nAnswer: a*(a - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7237 divided by -3\nAnswer: -7237\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6\/11))**48\/(a*a**2*((a*a**15)\/a)\/a) assuming a is positive.\nAnswer: a**(-475\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 19 = 59. Is -5*x\/10 + 75 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/1880 and 137\/9840.\nAnswer: 462480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 16 - 14, -2*q = -2*n + 22. Solve -7*y - 12 = n for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 6\/5*i + 0 - 3\/10*i**3 + 2\/5*i**2 - 1\/10*i**4 = 0.\nAnswer: -3, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*h - 39*h + 14*h)*(-2*h + 3 - 3)*(-2*h - 3*h + 2*h).\nAnswer: -96*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**7\/60 - p**6\/90 + 7*p**5\/60 + p**4\/6 + 2*p**3 + p**2. Let c(g) be the first derivative of i(g). Factor c(f).\nAnswer: -2*(f - 1)*(f + 1)*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12415.41 rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-24) - 13\/(-4). Suppose 7 = -v - 6*w + w, 3*v = f*w + 15. Suppose -3*k = c - 7*k - 3, 0 = c + v*k + 11. Which is greater: c or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-21)\/(-2) + (-30)\/6)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/5)*m**4*m**(-14)\/((m\/(m\/m**10))\/m))**(-10\/11) assuming m is positive.\nAnswer: m**(186\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10\/9 + 56\/45. Let z = -593\/3322 + -1\/302. Put -1\/7, z, c, 4 in decreasing order.\nAnswer: 4, c, -1\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32118951 to the power of 1\/2, to the nearest integer?\nAnswer: 5667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 8*b**3 - 6*b**2 + 6. Let g(k) be the second derivative of 7*k**5\/20 - 5*k**4\/12 + 5*k**2\/2 - 669*k. Calculate 4*g(t) - 3*s(t).\nAnswer: 4*t**3 - 2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f**3 - 3*f**2 + 3*f. Let o(j) be the first derivative of j**4\/4 - j**3\/3 + 1. Calculate -b(c) + 3*o(c).\nAnswer: -c**3 - 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s**(-2)))\/s)**24*(s**(-2))**(3\/19))\/(((s**9\/s)\/s**(-4))\/((s*s**3*s)\/(s**(-3)\/s*s*s))) assuming s is positive.\nAnswer: s**(355\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50787639 - 50787581.999929. Let d = 86 - 29. Let a = w - d. What is a rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 9:34 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37141 and 13936.\nAnswer: 39815152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8613 - 17201\/2. Let f(s) be the first derivative of -j*s**2 - 25 + 0*s - 1\/3*s**3. Find the second derivative of f(u) wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, s: 2, x: 1, v: 1, i: 1}. What is prob of sequence xv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 56b9 (base 15) in base 12?\nAnswer: a793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 10:29 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.7*34.\nAnswer: 363.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence npp when three letters picked without replacement from pppppnpnpppppppppp.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1782 divided by 26.\nAnswer: 891\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11242 and -0.2?\nAnswer: -2248.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 2:12 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from ppppprrprpprppxrpp.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + b = -2*b + 13, 6 = 2*s + b. Suppose -7*z + 2*z = s*p - 95, 5*z + 3*p = 89. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7732113 minus -0.44917?\nAnswer: -7732112.55083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 71035.217 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 5*m**2 + 29*m - 36. Let b be t(8). Suppose -54*r - b = -56*r, 5*r = -4*v + 26. Solve 5*x - 2*g + 7 = -v, 4*g + 23 = -5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 609 divide 3476302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ede when three letters picked without replacement from edeeeeee.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 14*m**2 + 3*m + 1. What is h(-2)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*a - 5 + 0 = 0, 3*a = 2*m - 16. Let x = -3.6 - -0.6. What is the second biggest value in m, x, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 19 - 11)*(-5 - m + 4 - m) to the form h*m + x and give x.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3089*o - 3089*o - 4*o**2.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(104)\/(sqrt(48)\/sqrt(6))*-6*-5.\nAnswer: -150*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37247, 74618, 112113, 149726, 187451?\nAnswer: 225282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3654 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 s when three letters picked without replacement from shhusshussshsshuu?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -250*y - 134*y + 170*y in the form g*y + h and give g.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3.135 or -4?\nAnswer: -3.135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j + 2. Let g be i(-4). Suppose 2*n - g = -0*n - 4*k, 5*n - 61 = -2*k. What is the remainder when (0 - 2)*132\/(-11) is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + o = -407, -4*s - 68 + 394 = -o. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*q + 167*q - 10*q**2 - 18*q**2 - 30*q + 30*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**2 + 7*g + 4. Suppose 0 = t - 2*k - 15, -3*t + 0*t + 2*k = -25. Let f(p) = 3*p**2 + 6*p + 4. Let j(q) = t*n(q) - 6*f(q). Calculate j(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17\/6? (a) -1 (b) 1\/5 (c) 4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4924 at most as big as 4921?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 315488 and 0.91?\nAnswer: 287094.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200494.08 minutes to days.\nAnswer: 139.232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1528*d**2*f**2*t**3 + 7*d**2*f*t + d*f**2*t**3 + 3*f**2*t wrt t?\nAnswer: -9168*d**2*f**2*t + 6*d*f**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-11)\/r*r))\/r**(-1\/5))\/(r*r\/(r\/r**(-1\/4)))**(-16) assuming r is positive.\nAnswer: r**(121\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 1, -59 in ascending order.\nAnswer: -59, -1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 641616 divided by 53468\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 3*x + 1. Let t(w) = -25*w**3 + 4*w**2 + 12*w - 14. Determine -4*m(j) + t(j).\nAnswer: -25*j**3 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {h: 1, e: 4, v: 6}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6320*d**3*i - 3*d**3*r**2 - d**2*r**2 + 4*d**2*r + 3*d*i*r - 121*r**2 wrt d.\nAnswer: 37920*i - 18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -14*i**2 + 6*i - 3. Let q(x) be the first derivative of -3*x**3 + 2*x**2 - 2*x + 10. Suppose -5*b = -0*b - 25. Calculate b*n(l) - 8*q(l).\nAnswer: 2*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/27, -34, 57096 in increasing order.\nAnswer: -34, -2\/27, 57096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*k**2 - 28*k**2 - 18*k**2 as f + g*k + i*k**2 and give i.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7355)\/(-7) + 5\/((-735)\/(-42)). Solve p*z - 18 = 1069*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6592284 + 288*p - 3296142 - 272*p - 3296142.\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -176*m + 19. Let y(j) = 350*j - 32. Give -5*v(d) - 3*y(d).\nAnswer: -170*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 860 and 199136655.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -164.8 - -165. Sort -6\/7, c, 0.1.\nAnswer: -6\/7, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/372 and -87\/766.\nAnswer: 142476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -5*u**5 + 240*u**4 + 1155*u**3 - 77530*u**2 + 150660*u - 74520 = 0.\nAnswer: -18, 1, 18, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -140, 4, -0.04?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 5*q - 396. Suppose 0 = 2*i - q - 15. Suppose 0 = -4*c + 2*c + i. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.111 - -0.11238. Round j to four decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -93 + 839\/9. Which is the nearest to 1? (a) -0.12 (b) f (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w + 8*w - 28*w + 8*w + 4*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58921 or -57469?\nAnswer: -58921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)*2)\/sqrt(10) + 3 + 4*(sqrt(363) + sqrt(363)*-1))**2.\nAnswer: 12*sqrt(3) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -2 (c) -2\/7 (d) 165 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7551205 is divided by 7551195?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgxxxxxxxgxxxxxxxx. Give prob of picking 2 x and 1 g.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q + 2*q + 3*q - 2)*(-73*q**2 + 14*q**2 - 363*q**2) in the form x + g*q**2 + j*q + b*q**3 and give b.\nAnswer: -1688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -160*b + 538. Determine j(3).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 3*h. Let i be u(0). Put -4, i, 4, 3 in decreasing order.\nAnswer: 4, 3, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 877319 to the nearest 10000.\nAnswer: 880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27745 minus 24.02949?\nAnswer: 27720.97051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 262626*k - 87556*k - 87535*k - 87540*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-4 + sqrt(1008)*-1)*-1 + (sqrt(1008) + 2*sqrt(1008))*4*-2)**2.\nAnswer: -2208*sqrt(7) + 533248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41207*d - w + 657 = 41289*d, -5*d = -2*w - 38 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxx when three letters picked without replacement from {b: 2, x: 3, o: 1, m: 6}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3850 divided by 5.\nAnswer: -770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m**3 + m**2 + 4. Let u(l) = -6*l**3 - l**2 - 5. Suppose 3*y + 11 = -4. Let w(j) = y*z(j) - 4*u(j). Let w(a) = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174981889.\nAnswer: 97, 251, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -38 (b) 16 (c) 4 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -8. Let f = i - -42. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*y + 9*y + 390 - 795 = 0 for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 - 12*m - 31. Let v be p(8). Calculate the remainder when 175 is divided by (v - -44) + (-1 - -1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 3, 2217\/2, -3, 3\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 94 - ((-1113)\/(-1484))\/(3\/(-52)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 j when three letters picked without replacement from oooooojoooooooojojoo.\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2) - 60\/(-104). Let j = 2.3 + -2.137. Let o = -0.837 - j. Which is the nearest to u? (a) o (b) -0.1 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/7 - 39*a**2\/7 + 66*a\/7.\nAnswer: 3*a*(a - 11)*(a - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51604*m + 2040 = 51519*m for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.4775882 centuries?\nAnswer: 0.04775882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**8\/1512 + d**6\/270 - d**4\/108 - 3*d**2. Factor s(l).\nAnswer: -2*l*(l - 1)**2*(l + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 + 3.7. Let c = -4 + x. Let i = -7.6 + 8. Which is smaller: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -9*b**4 + 1713*b**3 - 78267*b**2 - 312825*b + 112908 = 0.\nAnswer: -4, 1\/3, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.64, 0.21, 0.3 in increasing order.\nAnswer: 0.21, 0.3, 0.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 times -1253129?\nAnswer: -142856706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 636 and 31104?\nAnswer: 1648512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1490486, 1490478, 1490470?\n\"Answer: -8*u + 1490494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 985714 times 0.1\nAnswer: 98571.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 23\/27731160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/10*-2 + (13 - (-639)\/(-90)). Let w(v) be the second derivative of -1\/6*v**3 + 0 + 14*v + n*v**2. Differentiate w(o) wrt o.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 577*t + 41. Let y(i) be the third derivative of 3*i**4 + 5*i**3\/6 + 6*i**2. Let w(v) = 6*c(v) - 51*y(v). Is w(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 2*t**2 + 4*t - 1. Determine j(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 4*i + 1. Let c be 8\/16 - (-1)\/2. Let x = c - -3. Calculate u(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54105 times 2\nAnswer: 108210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -1629.586\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -7246*y**3 - 18*y. Let h(s) = -5840275*s**3 - 14510*s. What is -9*h(j) + 7255*v(j)?\nAnswer: -7255*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + x + 12 = 0, -3*x + 3 = 3*w - x. Suppose 90 = 2*t + w*t. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l**2 - 4*l**2 + 6*l**2)*(-1 + 4 + 1) + 4*l**2 + 5*l**2 - 2*l**2 to o*l + y*l**2 + z and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/13 + 14*o + 3036\/13.\nAnswer: 2*(o + 22)*(o + 69)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - (-1 + 45)*2*-2. Which is smaller: 174 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -148, -233, -324, -421?\nAnswer: -524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 134906329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z. Let g(c) = 17*c - 1042 + 1042. Give g(h(w)).\nAnswer: -34*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 9*n + 4. Let l be 200\/48 - 2\/12. Suppose l*h - 49 - 19 = 0. What is the remainder when j(5) is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, j: 1, g: 2, w: 4}. Give prob of picking 1 g, 1 x, and 1 j.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/8)\/(1\/(-6)). Let q(u) = -u**2 + 8*u - 5. Let n be q(7). Which is greater: t or n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*r**2 + 11*r**3 - 16*r**3 - 23*r**2.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 bigger than -225\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -96, -155, -156, -69, 136, 489?\n\"Answer: 5*q**3 - q**2 - 91*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*t + 8531 = 11183. Calculate the highest common factor of t and 273.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 + 22 = -10*s. Suppose -9 = s*i - 59. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*3*(-26)\/(-117))\/(-2*1\/174).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*l + 8*l + 7*l + 2 - l**4 - l**2 - 21*l in the form i*l**2 + m*l**3 + a*l + v + s*l**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -18. Suppose -86 = -2*i - p*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82*f**2 - 10*f + 2*f**4 + 119*f**3 - 121*f**3 + 44*f**2 + 41*f**2 to the form j*f**3 + v + z*f**2 + n*f**4 + m*f and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p - 59. Let i(g) = -g + 60. Let c(y) = 6*f(y) + 7*i(y). Let h be c(0). What is the units digit of (-6)\/(-15) + h\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 7*x**2 - 6*x - 8. Let j(b) = b**2 - b - 1. What is -6*j(r) + w(r)?\nAnswer: r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 14*v**2 - 73*v + 24. Let a be k(5). Let t(h) = 16*h - 11. Let x be t(8). What is the highest common divisor of a and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (0 + sqrt(3))**2 + -4 - ((sqrt(3) - sqrt(9)\/sqrt(3))*-5 + -5*sqrt(12)\/sqrt(4))**2.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3599368742?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4617247 (base 8) in base 6?\nAnswer: 42505023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**3 + 51*q**2 + 3819*q - 19995.\nAnswer: -3*(q - 43)*(q - 5)*(q + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - h + 815 = 0, 0 = -8*h + 7*h + 5. Suppose -870 = -15*v + q. Calculate the greatest common divisor of v and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213230 (base 4) to base 9.\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 9*p - 4*p = 14, 0 = -2*q - 2*p + 8. Solve d = q*d - 10 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1420884 + -3.4579266. Let x = 3.6 + c. What is x rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-33)\/44*(-8)\/(-10)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*x - t + 84, -x = -2*t - 20. Let y = 25 - x. Suppose 4 = 5*q + y. Is q greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6480\/3360*(4\/2)\/((-24)\/(-14))\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462802 is divided by 762.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 25 = 0, 5*a - 25 = 2*z - 6*z. Let j(o) = -o**3 - 4*o**2 + o + 6. Let s be j(-4). Solve x - 3*n + 8 + 2 = 0, z = -4*x - s*n + 16 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 11*d - 1. Let k be i(-9). Solve -3*a + 12 = 0, 9*a - 4*a = -p + k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 38, 92, 154, 224, 302?\n\"Answer: 4*f**2 + 42*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 to the power of 1\/4, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1\/53, 0.1, -0.29 in descending order.\nAnswer: 0.1, -1\/53, -0.1, -0.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5921*b**3 + b**2 - 42*b - 63 wrt b?\nAnswer: -35526*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*(-108)\/18?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3.66 * -1.95515\nAnswer: 7.155849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(-2\/47)*b)*(b*b*b\/b**(-7))\/b)\/(b\/b**13*b*b**(9\/5)*b))**(-27) assuming b is positive.\nAnswer: b**(-102519\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 624 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19101754.8 microseconds in days?\nAnswer: 0.000221085125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(1\/5)*v*v*v*v\/v**7*(v**(1\/2))**43)**(-5\/12) assuming v is positive.\nAnswer: v**(-193\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -567, -2257, -5073, -9015, -14083, -20277?\n\"Answer: -563*f**2 - f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*y + 661 - 82 = 107*y - 2349 for y.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1715\/(-12348)*(-8)\/5. Suppose -2\/9*s**5 - 2\/3*s**4 - 2\/3*s**3 + 0*s - c*s**2 + 0 = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4355 is divided by 218?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/3, 4, 0.1, 1\/8, 1\/16?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*p - 2*n, -5*p + 3 = -2*p - 4*n. Let m(q) = 7*q**2 - 5. Let s(b) = -8*b**2 + 4. Let k(y) = p*s(y) + 4*m(y). Let j(o) = 2*o**2. Give k(j(a)).\nAnswer: -48*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -10*q**2 + 29*q**2 + 263 - 530 + 267. Let m(x) = -16*x**2. Give k(m(l)).\nAnswer: 4864*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -6, 3\/2, 1 in descending order.\nAnswer: 3\/2, 1, -0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 10 - (-10 - 8 - 16).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/z**28*z\/(z\/(z\/(z\/(z*z\/(z\/((z\/(z**(1\/27)\/z*z))\/z)))))) assuming z is positive.\nAnswer: z**(-676\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2)*(w**2 + 5*w**2 - 4*w**2) - 2*w**2 + 0*w**2 - w**2)*(4*w**2 - 2*w - 2*w**2 + 4*w).\nAnswer: 2*w**4 + 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 207, 827, 1869, 3339, 5243?\nAnswer: 7587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 175, 173, 171, 169, 167?\n\"Answer: -2*q + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2640116374 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*n*z**3 + 5*n*z**2 + 2*n*z + 4*n - z**3 + 5 wrt z.\nAnswer: -102*n*z + 10*n - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-8\/3)*t**(-2\/33)\/t)\/(t**(-1)\/t**(-3\/10)))**(-9\/7) assuming t is positive.\nAnswer: t**(-3273\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v**3 + 378*v + 376. Determine y(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z - 10*s - 449 = -488, 3*s - 5*s + 7 = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(200) + 0) - (-2*sqrt(200)*-5)**2 - (6*sqrt(200)*-1)**2*1.\nAnswer: -27200 + 50*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 50?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6717, -25729, -57431, -101823?\n\"Answer: -6345*u**2 + 23*u - 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14121095?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 244203990 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: Let f(n) = 8*n - 40. Suppose -6*o + 102 = -0*o. What is the remainder when f(9) is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 6:14 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -3 + 0*u + 1\/2*u**2. Let j(x) = 5*x - 8. Let s(r) = 2*r - 3. Let o(p) = -3*j(p) + 8*s(p). Give k(o(y)).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/74 and -31\/2.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -1885, 3, -234 in decreasing order.\nAnswer: 3, -234, -1885","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 75*w + 174. Let f(x) = -402*x - 869. Calculate 11*a(y) + 2*f(y).\nAnswer: 21*y + 176","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.13268 and -0.010265.\nAnswer: -1.142945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*r - 64*r = 885*c - 890*c - 270, 3*c - 54 = 28*r + 4*c for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -10\/9*x**3 + 2\/9*x**4 + 10\/9*x + 2\/3*x**2 - 8\/9 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 at most 1\/141?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 379*t - 45*t + 4 + 60*t.\nAnswer: 394*t + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -25 (b) -0.281712 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -24884947.581 rounded to the nearest one hundred thousand?\nAnswer: -24900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 40 = -2*b. Put -4\/5, -1\/5, b in ascending order.\nAnswer: -4\/5, -1\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**10\/y)*y)\/(y\/y**(-11\/4)*y))**(-1\/4)\/(y**5*(y\/y**(-1\/3))\/y*(y**(2\/3))**12) assuming y is positive.\nAnswer: y**(-499\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135977384.\nAnswer: 2, 1831, 9283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(3) - sqrt(3))*5 + sqrt(27) + -3 - (-3*sqrt(48) + sqrt(3) + sqrt(15)\/sqrt(5) + 1)*2)**2.\nAnswer: 20*sqrt(3) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.09 from -795148189455.\nAnswer: -795148189455.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, u: 2, s: 1}. What is prob of picking 1 u and 2 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -11*f**2 - 191*f + 3287. Give a(-37).\nAnswer: -4705","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552495273 a multiple of 1151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 151704 and 22424328.\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 2.3. Let t = 196 - 278. Let b = 77 + t. What is the closest to y in b, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/162*6 + 36701\/(-963)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7775?\nAnswer: 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 - 19*n + 15. Suppose -4*i + 116 = -g, -58 = -2*i + g - 0. Suppose 2*k + 5 - i = 0. What is the remainder when y(k) is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l - 5 + 2 - 1 - 1. What is h(-3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -208 - 22098.\nAnswer: -22306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 565216 + -1401?\nAnswer: 563515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4746*d + 11275 - 27553 + 120690 = 0 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49 and 70.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = f - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3427 is divided by 1248.\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32328580 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 523 and 221471149?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - -2. Let f = n + -7. Solve 3*d + 2*j - 4 = -f, -j = -d - 7 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-0.3177.\nAnswer: 0.3177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -52, 0.05784, -3\/7, 10 in increasing order.\nAnswer: -52, -3\/7, 0.05784, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11 and -25?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16055 (base 7) in base 16?\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + sqrt(1452)*-2 + sqrt(1452) + sqrt(1452)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 5*w**2 + w + 5. Calculate the remainder when 68 is divided by k(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 4 = 0, -8*b - 1913*p - 44 = -1895*p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 + 32. Suppose 3*x + 3 + 1 = -g, 3*g = -2*x - 5. Put i, x, 3 in increasing order.\nAnswer: i, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11031*t**4 - t**2 + 86*t + 22?\nAnswer: -132372*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30000330 + -11?\nAnswer: 30000313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, -7, 107681.\nAnswer: -7, -0.06, 107681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 + 8)*(2*b**2 + 2*b**2 - 3*b**2) as p*b + a + j*b**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 1 + 2*v - 4 - 15*v to m*v + k and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1144*z + 663 - 17580 - 64307 = 0 for z.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 225195429*k**3 - 211891930*k - 1 wrt k.\nAnswer: 1351172574*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2550 by -850.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, q: 17}. What is prob of picking 2 d and 1 q?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1870730909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 35608 divided by 183\nAnswer: 35608\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4 - 12)\/2*82\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29189, 29274, 29359, 29444, 29529?\nAnswer: 29614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -18*c + 74. Give x(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -123, -131, -153, -195, -263, -363?\n\"Answer: -s**3 - s**2 + 2*s - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -8 - (47 + -34 - 23) - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/8*14\/21. Factor 3\/2*w + k - 1\/2*w**3 + 0*w**2.\nAnswer: -(w - 2)*(w + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 7 = x - 11, 5*i + 2*x - 24 = 0. Solve -g = -2*g + 5, -2*m + i = 2*g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-153)\/(-1377))\/(1178\/(-228))\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i**7\/840 + i**6\/72 + i**5\/120 - i**4\/6 - i**3\/3 + 2*i**2. Let u(l) be the first derivative of a(l). Does 11 divide u(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -259*c*g*w**3 - 9022*c*w**2 + 64*g*w**2 + 434*w**3 - 45*w**2 wrt c.\nAnswer: -259*g*w**3 - 9022*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1022956884.\nAnswer: 2, 3, 19, 73, 6829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 323000 rounded to the nearest ten thousand?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 87\/4 + 6\/(-8). Let y be ((-27)\/u - -1)*-7. What is r in 0*r - 1\/4*r**y + 0 + 1\/4*r**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 4*z + 4*z + (-z + 0 + 0)*(0 + 0 - 1))*(-13*z + 6*z + 2*z).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a = 1532 - 1455 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1970*((-64)\/(-363) - 145\/870) + -19?\nAnswer: -2\/363","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a meter in millimeters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 64?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*u - 115*u - 11*u**2 + 55 + 55*u - 64 to v*u**2 + q + b*u and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 8. Let v be j(7). Suppose 185*l - 116 = 156*l. Let t = -2 + 17. Solve l*b = -t - v for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6621707 is divided by 6621670.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of 0*v - 5\/3*v**4 + 49*v**2 - 16\/15*v**5 + 0 + 0*v**3. Find the second derivative of a(c) wrt c.\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 27 = -g. Let l(y) = -y**3 + 4*y**2 + 16*y - 13. Let b be l(6). Let i = b + g. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 304 and 496.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*a**4 + (2 - a**4 - 2)*(0 + 5 - 4) - 2*a**4 - a**3 + a**3 + 45*a**4 - 2156*a**3 + 2156*a**3 - 3*a**3 + 3*a**3 + 4*a**4.\nAnswer: 44*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f - 2*f + 7*f)*(6 - 2 - 2)*(6 - 2 + 1).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -1 - m - 1 + 3. Let g be 0\/(3\/(-3) + 0). Let q be t(g). Which is smaller: -1\/6 or q?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77213*t - t**3 + 56*t**3 - 77213*t.\nAnswer: 55*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10496793 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 452378?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3222 - -36\nAnswer: -3186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 3*z. Let w(f) = 14*f - 2*f**2 - 2*f - f**2 - 2*f**2. Let l(r) = -9*d(r) - 2*w(r). Find m, given that l(m) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 0.6, -0.8, -2, 30, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i + 8 = 26*i. Suppose 0*u = -i*u + 266. Suppose -g = -3*g - 3*f + u, 3*g - 4*f = 191. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -97 - -100. Suppose 0 = i + 4*j - 125, -5*j - 445 = -u*i - 3*j. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58+10.21582\nAnswer: 68.21582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 9:23 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 146556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + a + 26 = 4*f, 2*f = -4*a - 14. Let c = 7 + a. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -v**4\/8 + 7*v**3\/3 - 12*v**2 + 5*v. Let g be n(5). Which is greater: g or 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 16041*x**4 + 449145*x**3\/2 + 962439*x**2 + 1154862*x - 108 = 0. What is x?\nAnswer: -6, -2, 1\/10694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 223249595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 235 - 155. Calculate the least common multiple of 40 and i.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.72835ml to litres.\nAnswer: 0.00272835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 15*w**2 - 23*w + 3. Give i(-3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 277623*j*y**2 - 7*j*y + 135*j - y + 2 wrt y?\nAnswer: 555246*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g - 5*y + 21, 4*g - g - 5*y + 19 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (5\/5*1)\/(-7 + 3180\/454) is divided by 123?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 19*q - 216. Let k be o(-27). Let l(h) be the third derivative of 0*h**3 + k*h + 0 - 1\/180*h**5 - 1\/36*h**4 - 14*h**2. Factor l(f).\nAnswer: -f*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3574 - -32134\/9. Let v = 7 + -11. Let l = v - x. What is the smallest value in -5, -0.1, l?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 196 + -38616\/197. Is -1 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1013 divided by -281\nAnswer: 1013\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (-28 + (-15 + 19 - -17 - 9) + -4)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u - 141. Determine s(-35).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-180)\/(-160)*28\/105.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -118 and 52880669.\nAnswer: 52880551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 797766 is divided by 4070?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61862730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzouuozuzkukrkkuzzk. Give prob of picking 1 r, 1 u, and 1 z.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 11*s**2 + 410*s - 5796. Let u be q(14). Let f(z) = -z**2 - 11*z + 4. Let d be f(-8). Calculate the highest common factor of u and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.34 - 2.24. Let d = n - -1.6. What is the closest to 1 in -6, d, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**3 + 148*k**2 + 1180*k + 2700 = 0?\nAnswer: -27, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**6\/120 + z**5\/10 + z**4\/24 + 19*z**3\/6 - 39*z**2. Let k be c(-6). Calculate the highest common factor of k and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -d + 6, -5*d + 16 = -2*d + y. Suppose 0*p + 4*p + 2*z - 2 = 0, -p = d*z + 22. Calculate the remainder when 71 is divided by (4\/p + 2)\/((-10)\/(-75)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*g - d + 6, g + 10 = 3*d. Let p(m) be the first derivative of 2*m**2 - 2\/3*m**3 - g*m + 4. Factor p(h).\nAnswer: -2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -35 (b) 0 (c) 99\/2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6757897, 6757894, 6757891, 6757888, 6757885, 6757882?\nAnswer: 6757879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 90 + -92. Suppose 3*g = -z - 2, -5*z - 3*g - 23 = -g. What is the closest to a in 0.5, -2\/7, z?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*u + z = 33*u - 11, -5 = -3*u - z for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -215?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 451277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-15) + -4 - -4. Let w = -79 - -79.2. What is the closest to w in v, 1, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 6*g**3 - 2*g**2 + g. Suppose 2*m = 6*m - 4. Let j be y(m). Suppose 40 = 3*x + q - 27, x - j*q - 33 = 0. List the prime factors of x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100, -187, -274, -361?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - (sqrt(143) + -2*sqrt(143)*-4 + sqrt(143))) + (sqrt(143) - 1*sqrt(143)*1))\/((-2*sqrt(176))\/(sqrt(4) + sqrt(36)\/(sqrt(144) + sqrt(9))))*-4.\nAnswer: -54*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 797 = 26*d + 2073 - 704 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -96.\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1918 - 1189. What is the highest common divisor of v and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -252, -0.5, -2\/7.\nAnswer: -252, -0.5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o**2 + 4*o**2 - 4*o**2)*(-4 + 3 + 2) + o**2 + 3*o**2 - 3*o**2 + 2*o**2 - 3*o + 3*o in the form q + k*o + f*o**2 and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88164 divided by -3.\nAnswer: 29388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - (sqrt(209) - (-3*(sqrt(209) + -2*sqrt(209)) - sqrt(209)) - sqrt(209)))\/(sqrt(44)*4))**2.\nAnswer: 171\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -86, 2\/13, -1\/5, -0.23?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {p: 1, u: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 271610 and 359148?\nAnswer: 281931180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 41087000 rounded to the nearest one hundred thousand?\nAnswer: 41100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1300 + 1564.2. Let h = 264 - t. What is the third biggest value in 2, 0.5, -0.23, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -375*z**3 - 559*z**2 wrt z.\nAnswer: -2250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 4*f**2 + 3*f - 5. Let w be a(-5). Let n be 1 - w\/((-10)\/6). Let j = -0.031 - 3.969. What is the third smallest value in 0.1, n, j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*z - 4*z = 38, -5*z - 10 = 0. Calculate the lowest common multiple of (p\/(-4))\/((-36)\/(-96)) and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 123 = -8*s. Which is the third biggest value? (a) s (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 192 + -128. Let o = 71452 - 71387.939. Let i = s - o. What is i rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -600579 divided by -3?\nAnswer: 200193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/5, -961, -2\/15, 297.\nAnswer: -961, -8\/5, -2\/15, 297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - f + 4 = 0, -g = -4*f - 5 + 1. Suppose 3*y + 3*c = 1764, -2*y + g*c - 407 = -1595. Round y to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 243 - 215. Suppose -3*o = 2*h - 946, -5*o = -29*h + d*h - 1594. Is 23 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-6) - 1140\/(-171)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 20*w**2 - 24*w - 24. Let c(y) be the second derivative of -y**4\/3 + 5*y**3\/6 + 5*y**2\/2 + 191*y. What is -24*c(m) - 5*u(m)?\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c5 + -1?\nAnswer: c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from aaaaaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -315 - -305. Does 4 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -16, 123, 262, 401?\n\"Answer: 139*b - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 604649*b**3 + 245598 wrt b.\nAnswer: 1813947*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20393627981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6054717\/7 - -864960. Factor -120\/7*h - l*h**2 - 117\/7.\nAnswer: -3*(h + 1)*(h + 39)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-5*sqrt(2880)*-1)\/((sqrt(4) - sqrt(8)\/sqrt(2))*2 - sqrt(192)\/sqrt(12)))**2 + -1.\nAnswer: 4503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xlzl when four letters picked without replacement from {x: 5, z: 3, l: 5}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1165762622?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 85588888 and 28336.\nAnswer: 171177776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.1, 0, -9502, 3 in descending order.\nAnswer: 3, 0, -0.1, -4, -9502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4935878.3 and -57?\nAnswer: 4935821.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 56983 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63019440.\nAnswer: 2, 3, 5, 11, 73, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -1)\/((-5)\/(-5)). Suppose d = 3*j - 9, -5*w + j + j + 5729 = 0. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 63345063*f + 34106663?\nAnswer: 63345063","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 2:49 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1027121 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -475*l - 11*l**3 - 14*l**3 + 2 + 362*l + 22*l**3 - 2*l**2 as u + i*l + f*l**3 + h*l**2 and give i.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 23670000 rounded to the nearest one million?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b. Let q be d(-2). Suppose 26 = -q*v + 2*v. Let l = -8 - v. Solve 4*k = 12, -l*j + 2*j + 3 = -k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22924?\nAnswer: 2, 11, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42063?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/104 + (-15)\/(-39).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/2*-2 + 1. Suppose -4*g = -3*w - 2*g + 34, d = -3*g + 12. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 217 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 56 = -3*k - 2*k, -25 = -5*t - 5*k. Suppose -h + 15 + 27 = 0. Calculate the remainder when h is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 104\/25 + -2281\/350. Let w be (-18)\/4*235147\/(-165). Let o = 6403 - w. Calculate the common denominator of o and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a kilogram in grams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215156512?\nAnswer: 2, 6723641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-1))\/(12\/12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + 2*n + 3 + 11, -n = 3*a - 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9626767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 661276 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 13\/2*i**6 - 2*i + 0*i**4 + 235 - 135*i**2 + i**3 + 0*i**5. Find the second derivative of q(a) wrt a.\nAnswer: 780*a**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 3*x - 8*x - 18*x**2 - x + 4*x.\nAnswer: -18*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -286, -296, -308, -322?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*o + 16. What is the remainder when 39 is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 - -7. What are the prime factors of t?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -z**5\/20 + 17*z**4\/12 - 7*z**3\/3 - 3*z**2 - 8*z. Is 13 a factor of o(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35292 divided by 8823.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2263 - -2283. Calculate the remainder when 134 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/3? (a) -0.3 (b) -16.5 (c) -1\/2 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1)*n**(2\/31)\/n*(n**(2\/15)*n)\/n**(1\/8) assuming n is positive.\nAnswer: n**(-3449\/3720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/3 - (-40)\/15. Suppose 0 = -6*c - p*c + 9630. Is c*((-4)\/(-12))\/(2\/3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 330019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -10*b - 49. Let d(s) = 1. Let y(q) = c(q) - 3*d(q). Let h be y(-6). Let f be (h\/2 + 2)*2\/12. Solve -3*z + 4*z + f = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232136 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/138173087 and -93\/2145242.\nAnswer: 3039807914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to -29\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 20. Let a be z(-15). Suppose -a*m + 81 = 231. Let r = 52 + m. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14421)\/(-4389) + 16\/(-7). Let v be ((-2)\/2)\/(-2)*-1. Which is the nearest to -1\/5? (a) v (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 3164174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -55?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.343 (b) -1 (c) 2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 554 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-2)*-6 - -2. Is l less than or equal to -70\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and 0.05?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -466da2 - -1?\nAnswer: -466da1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3889221 = 186*k - 9*k. What is the ten thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28819341 to the power of 1\/2, to the nearest integer?\nAnswer: 5368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123 - 9*b**3 + 71 - 194 - 9*b**3.\nAnswer: -18*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1951?\nAnswer: 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 25 = 19. Let n(a) = -k*a + a - 9 - 2 + 4*a. What is n(-10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 - 29. What is the smallest common multiple of 18 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 31*y + 4 = -28*y, -g - 5*y + 11 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34710 and 38181.\nAnswer: 381810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -1 - 2*f + 5960*f**2 + 2 - 5961*f**2 + 3. Give o(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnybbnybbnynb. Give prob of sequence ybn.\nAnswer: 25\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 9 = 3. Solve 2*d + 20 = 4*c, 5*d = 4*d - c + g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 7:18 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 7994644?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -16*z**2 + 9*z + 45. Let x = -77 - -79. Let f(k) = -14*k**2 + 8*k + 44. Let h(a) = x*d(a) - 3*f(a). Find the first derivative of h(w) wrt w.\nAnswer: 20*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.5 + 12. Which is the biggest value? (a) g (b) -2\/25 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 4*m. Let h be s(3). Let x(r) = r**2 + 5*r + 8. Let d(q) = 6*q + 9. Let k(z) = h*x(z) - 4*d(z). Factor k(t).\nAnswer: 3*(t - 4)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t - 200 = -9*t. Let a = t + 97. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 0.077\nAnswer: 0.0385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 269 times -2\nAnswer: -538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1878109.\nAnswer: 17, 110477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -140, -1.14, 0.8, -2\/11?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 26369*a**2 + 33*a - 31. Is c(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 5*s. Let h(r) = -5*r**2 - 21*r + 1. Let y(c) = -9*a(c) - 2*h(c). Calculate y(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -0.00339.\nAnswer: -2.00339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -a - 31 - 20, 3*a - 5*w = -137. Let b = a + 22. Do b and -16 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -37*a - 1804. Let h(n) = 187*n. Give o(h(b)).\nAnswer: -6919*b - 1804","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 339 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5217414 * -3.\nAnswer: 15652242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 3*w - 21 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -28 + 3. Suppose d = k*d. Suppose z + 4 = -0*i + 4*i, -i + 3 = d. Solve 3*o - 5 = z*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26142115 rounded to the nearest 100000?\nAnswer: -26100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 2*r - 3622 = 0, -4*r + 4 = -5*r. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 6:24 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -243?\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 391704427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2681883 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231 + 231 + 4*x**3 + 7*x**3 - 6*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 34865.713 to the nearest one thousand.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152871558.\nAnswer: 2, 3, 7, 83, 43853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 7*s + 3. Let q(l) be the third derivative of -l**4\/4 - l**3\/3 + 19*l**2. Give -4*q(y) - 3*v(y).\nAnswer: 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 - n - 21. Let t be l(5). Solve m - 19 = -t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**5 - 4993945*m**4 - 4993930*m**3 + 9987880*m**2 = 0. What is m?\nAnswer: -998788, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 20. Let i = -8 + 17. Let w = 8.5 - i. Which is the nearest to 1? (a) k (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -209 + 209.1. Which is the biggest value? (a) -2 (b) z (c) 0.47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {k: 1, x: 6, z: 2, u: 3, g: 3}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 8*y + 6. Let j(d) = -d - 5. Let f(l) = l + 4. Let g(w) = 5*f(w) + 4*j(w). Let a(h) = h + 1. Calculate y*g(u) + 2*a(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/3*i - 2 - 2\/3*i**3 + 3*i**2.\nAnswer: -(i - 3)*(i - 2)*(2*i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-10)*s)\/(s*s\/(s**(2\/97)*s)*s) assuming s is positive.\nAnswer: s**(-1065\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 6*t + 33. Let b be r(-5). Solve -5*q + 35 = -2*u - 3*u, b*u - 2*q + 17 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*b**4 - 114*b**2 + 947*b wrt b?\nAnswer: 120*b**2 - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 0 + 9*a - 5 + 3. Suppose -2*o + 22 = -4*o. Let j(c) = 5*c - 1. Calculate o*j(x) + 6*b(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k - k + k + 7*k as y + a*k and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.02, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 at least as big as -75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r + 2. Let o(v) = 26*v + 11. Give -2*o(u) + 11*q(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of t**4\/14 - 4*t**3 + 81*t**2\/7 - 80*t\/7 + 229. Solve u(q) = 0 for q.\nAnswer: 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2\/109, -5\/4, 0.\nAnswer: -5\/4, -2\/109, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -73*(-110)\/44165*(-56)\/16?\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011121202 - -10?\nAnswer: -1011121122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -151662, 5, 1, -33 in ascending order.\nAnswer: -151662, -33, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -54*h + 999. List the prime factors of t(0).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13 + 19 - 64439*f**2 + 64440*f**2 - 41*f wrt f?\nAnswer: 2*f - 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/16 - 22\/(-8). Suppose -3*k = 2*z - 12, 5*k - p - 10 = -z. Let b(j) = 2*j**2 - 2*j - 1. Determine b(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 16, 5, 15, -22175 in descending order.\nAnswer: 16, 15, 5, -1, -22175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10422000 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j + 4*t - 13, -5*t - 35 + 51 = -j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 6*m**2 - 7*m + 2. Calculate z(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 227006602 and 2.1.\nAnswer: 227006604.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((0 + sqrt(8))*-6)**2 + -3.\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 5:31 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cocc when four letters picked without replacement from ocdvddddddcdd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6391 divided by 3337?\nAnswer: -6391\/3337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 24*v - 50. Let d be n(2). Suppose 0 = d*m - 186. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006716 rounded to 5 decimal places?\nAnswer: -0.00672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 174325 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: Let l(h) = 7*h + 75. Let d(o) = -6*o - 70. Let w(y) = 3*d(y) + 4*l(y). Let m be w(-9). What is the closest to m in 3, 4, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6266*n**2 + 26*n + 1541051 wrt n.\nAnswer: 12532*n + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -m. Let t be 3 + (4\/5)\/(6\/15). Let i be (140\/(-12) - -8) + t + -1. Which is the closest to -0.2? (a) -2\/11 (b) m (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 11 - 31 = 0. Suppose -5*n - 10 = 3*c, -2*c + w = -4*n - 4. Solve -b + c*p = -2*p + 13, -5*b = 5*p + 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*c + 25*c - 3*i = -6, -c - 2*i = -7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 1011202011001?\nAnswer: -1011202010221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 0. Let b(c) = 6*c + 32. Let r be b(-5). Suppose -h - w = 3, 2*h + p*h = r*w + 6. Put 3, -5, h in descending order.\nAnswer: 3, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*m + m**2 + 133 - 6*m - 135)*(29 - 29 - 17*m**2).\nAnswer: -17*m**4 - 119*m**3 + 34*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*t**4\/9 + 14852*t**3 + 1404488*t**2\/9 - 512716*t\/3 = 0. Calculate t.\nAnswer: -23\/2, 0, 1, 16719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + -0.1. Let o = 2\/3 - 5\/12. What is the closest to s in 1\/5, -3, o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rttt when four letters picked without replacement from tttttttttttrt.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-3 - -4) + 4 + -29 + 5.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*o - 1239 = 12*o. Round o to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2*k - 93183*k**3 - k**2 + 1 + 93189*k**3 + 0.\nAnswer: 6*k**3 - k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 5640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/6 + ((-285)\/9)\/(-5). Suppose -4*q + 3*b = 584 - 200, 3*b = -d*q - 507. What are the prime factors of 7050\/55 + 3\/(q\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 107 - 93. Suppose 3*c - 41 = -i, -2*c + 9 = -2*i + 75. What is the highest common divisor of i and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/((-416)\/40)*(-7)\/(35\/40)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 3*u = -3, -u - 11 = 23530*h - 23528*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -13547?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 2)*(-5 + 1 + 5)*(-b + b + b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-6) - 1*(0 - (-133)\/(-42)). Sort 825, o, 0 in descending order.\nAnswer: 825, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9 - (2 - (-8)\/4). Which is the second smallest value? (a) -0.1 (b) 1\/4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2.57 (b) -0.3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1285.791 - 1287. Let k = -300 + 301.27. Let t = s + k. Round t to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10 - 3*y**2 - y**2 + 8 - 4*y + 2*y**2.\nAnswer: -2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1968 divided by -6?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d + 40380 = 23*d. Suppose 3 = 2*b - 15. Suppose 14*w - d = b*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 3, -1 in descending order.\nAnswer: 3, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06059 and 0.3.\nAnswer: -0.018177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 740 + -268. Suppose 4*w + 4*o - m = 0, -3*w - 2*w + 4*o = -590. Calculate the remainder when w is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 14 = 2*m, -5*m + 2*m = -4*q + 14 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3*q - 3. Let w be f(16). Suppose 4*d + 1 - w = 0. Calculate the remainder when 52 is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 2914\/(-775) + 11?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -383, -616, -597, -230, 581, 1932?\nAnswer: 3919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-258)*(73 + (-23987)\/332).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3*t - 6 = 0. Let x = -532 - -535. Let h(n) = t*n - 7 + n + x + n**2. Calculate h(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3\/4, 0.64, 0.2, -2\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 5*d**2 + 1. Let h be j(5). Let b(m) = -m**2 + 13*m + 3. Let c be b(12). Let a = -13 + c. Solve 3 = -a*y - h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14*(-51)\/48 + 2\/(-16). Let x = i + 23. Suppose -4*w = d - x - 8, -2*w - 4 = -d. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 818 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: Simplify (z**(1\/8)*z**4\/z*z)**21\/((z\/z**(-1\/7)*z**(4\/3))\/((z*z**(-1)*z*z)\/z*z\/(z**(-2)\/z))) assuming z is positive.\nAnswer: z**(14977\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwpiwiwwwwwhiww. What is prob of picking 1 p and 2 w?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 248 + -100. What are the prime factors of a?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 425604.\nAnswer: -2128020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-336)*2*(-28)\/48?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 72138*c**5 + 80*c**3 - 255597*c**2 + 2*c wrt c.\nAnswer: 4328280*c**2 + 480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 11*g**2 - 13*g - 12. Let q be r(-12). What is the units digit of q\/(-4) + 2 + 28?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - (2 - 5))\/(2 - 3). Suppose -57*d + 59*d = -4*l + 1064, t*l = 2*d - 1064. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 17532*b - 419040.\nAnswer: -3*(b + 24)*(b + 5820)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 0.1, -9, 0.4, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -11 - ((-43)\/(-50))\/((-1006)\/28 + 36).\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*z**2 + 33*z**2 - 2*z**2)*(2 - 1 + 0 + (-2 + 2 - 1)*(1 + 3 - 5)) to m*z**2 + u + q*z and give m.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-8) + 9\/4. Calculate the smallest common multiple of ((-40)\/25)\/(i - 756\/375) and ((-3)\/3)\/((-1)\/10).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53.87 - -101.86. Let t = m - 54. What is t rounded to 1 decimal place?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 15 = 6*f. Let g = f - -227\/15. Which is greater: 0.7 or g?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**6\/360 - i**5\/30 + i**4\/72 + 5*i**3\/3 + 74*i**2 + 76*i + 1. Let m(u) be the first derivative of b(u). Factor m(d).\nAnswer: -(d - 2)*(d + 3)*(d + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(4617) - -2*sqrt(4617)) + sqrt(912)*-1 + sqrt(57))*-2)\/((-1*sqrt(96))\/sqrt(2)*-3).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/(-5))\/(2\/(-80)). Let t be 6\/(-45) + (h\/30 - 1). Is (12033\/(-3))\/t*7\/(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -4*w**3\/3 + 22*w - 10. Differentiate h(p) with respect to p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**5 + 4456*x**4 - 22301*x**3 + 17844*x**2 = 0.\nAnswer: -4461, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -3, 15, 34\/15, 1 in decreasing order.\nAnswer: 15, 34\/15, 1, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from {n: 3, x: 1, b: 4, u: 2}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.134 times -84?\nAnswer: -11.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -2.6. Let n(y) = 6*y - 4*y - 3*y + y**2. Let b be n(1). What is the closest to b in z, -5, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -418243 in -2\/11, -5, 4\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of -c**6\/40 - 133*c**5\/12 - 2257*c**4\/24 + 1711*c**2. What is the second derivative of k(j) wrt j?\nAnswer: -18*j - 1330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23452 divided by 1.\nAnswer: -23452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 71821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*p + 4 - 4.\nAnswer: 21*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 284860903?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*c - 49 + 335 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11118 and 1020?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1411*q**5 + 183*q**3 - 1919*q**2 - 842 wrt q.\nAnswer: 84660*q**2 + 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11, -39, -99, -203, -363?\n\"Answer: -2*g**3 - 4*g**2 - 2*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 346241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*g - g - 2836, -3 = r. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7}. What is prob of sequence ee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 11\/4 (b) -3 (c) 0 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -36328?\nAnswer: -1\/18164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m + 7 = 13*m. Is -1 not equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6132*r + 20. Let g be u(-15). What is g rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -3*k. Let v(f) = 20*f**2 - 2*f**3 + 2 + f**3 - 15*f**k + 0*f - 3*f. Determine v(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/5 of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*h*u**4 + 2*h*u**3 - 137*h*u - 6*u**3 + 1 wrt u?\nAnswer: 60*h*u**2 + 12*h*u - 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 5)*322\/(-35). Let m = 70 - i. Calculate the remainder when m is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 799921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -574*g**3\/3 - g**2\/2 - 9*g + 1043. What is the second derivative of z(a) wrt a?\nAnswer: -1148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12.2 <= -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1744794463 to the nearest integer?\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 478 - 42ab?\nAnswer: -3c33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 31*t + 22. Let d(w) = 10*w + 7. Let n(m) = 2*c(m) - 7*d(m). What is the tens digit of n(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 725 a factor of 191660275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -12*n + 404. Suppose 5*k + 4*r - 130 = 0, 7 = 3*r - 8. What is the least common multiple of t(32) and k?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 207*i**2 + 56111*i - 395. Calculate r(362).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 10) to base 2\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p*p**(-17))\/p))\/(p*p**(-6\/5)*p))\/(p\/p**3*p*p**(1\/11)) assuming p is positive.\nAnswer: p**(941\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - -11. Let j = -240 - -240. Let p(t) = -7*t + 76. What is the remainder when p(j) is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 3*i - i)*(-3604*i + 119*i**2 + 3604*i) as h*i + g + c*i**3 + y*i**2 and give c.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - 37.5. Which is the smallest value? (a) -4\/7 (b) d (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14\/67 - -2482\/335. What is the common denominator of 28\/9 and c?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b + 4. Let r be l(-6). What is the greatest common factor of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.4, 3\/5, 5, -22\/37, 12, 3\/7?\nAnswer: -22\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17257.023622 - -17257. Round d to 3 dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 878 is divided by 286?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93, -144, -203, -276, -369?\nAnswer: -488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 3*v - 0*j + 12, -v = -3*j + 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -1051?\nAnswer: -1051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 48. Let x be (-63)\/5 + (-2)\/5. Let t = x + h. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/19))**(-2\/11)*(n**(2\/9)*n)**(-26))**(-1\/24) assuming n is positive.\nAnswer: n**(29869\/22572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3181136, -3181141, -3181148, -3181157?\n\"Answer: -j**2 - 2*j - 3181133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 20.84814 millilitres?\nAnswer: 0.02084814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 695695.19 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 divided by 19850?\nAnswer: -107\/19850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -1\/120*i**6 - 1\/4*i**4 + 0*i + 1\/10*i**5 + 0 + 1\/3*i**3 + 2*i**2. Let b = 13 + -8. Determine s(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*m**4 - 29*m**3 + 254*m**2 + m wrt m?\nAnswer: -216*m - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9, -33, -67, -111, -165?\n\"Answer: -5*t**2 - 9*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4706, 18618, 41908, 74660, 116958, 168886, 230528?\n\"Answer: 14*f**3 + 4605*f**2 - f + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 30*u + 185. Give r(-22).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29274.\nAnswer: 2, 3, 7, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 38113272*w. Let z(g) = g. What is z(v(i))?\nAnswer: 38113272*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1488417?\nAnswer: 3, 7, 70877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 251*g**2 - 248*g**2 + 523*g**2.\nAnswer: 24*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 127 + -123. What is the remainder when 4 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 2) + 13 + -21?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144786 is divided by 2263?\nAnswer: 2217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from qnangqnnaqnnuunng?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -71.1 from 2.\nAnswer: 73.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 18 = -5*h + 37, 3*w - 5*h + 43 = 0. Suppose -22 = 5*y + 33. Let j = w - y. Is j less than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 1. Let t be v\/((-19)\/(-16) + -1). Let c = t - 5. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -155*g**2 + 3*g + 3. Let d be z(-1). Let x = d + 217. What is the remainder when x is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.01 + 0.01. Put g, -5, -0.2, 1\/2 in descending order.\nAnswer: 1\/2, -0.2, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1752020 by 34.\nAnswer: -51530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 - 370819*g**2 + 370822*g**2 + 2*g**3 - 3*g + 5*g - 5*g**4 to f*g + i*g**3 + t*g**4 + j + q*g**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 14. Let z be x(-8). Suppose -z*u + 2*u + 16 = 0. Is u a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**3 + 2*n**3 + n**3 + 4*n - 4*n - 2*n**3 + (-1 + 1 - 3*n**2)*(3*n - 2*n + n) - 3*n**3 - n + n.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1314846932?\nAnswer: 2, 7, 46958819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*m + 123*m + 78*m - 19*m)*(m**3 + 5*m - 9*m + 2*m).\nAnswer: 134*m**4 - 268*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 6*l + 9. Let h = 23 - 16. Let k be m(h). What is the common denominator of (-30)\/k + (0 - 1) and 85\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 466988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 10009748*s - 3740. Let w be o(5). Round w to the nearest 1000000.\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59834 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/(n*n**(-3\/4)*n*n))*n)\/n*n*n)\/n**(-2)*(n*n**7*n)\/(((n*(n**1*n)\/n)\/n*n)\/n))\/((n*n**(2\/9)\/n*n*n)**(-31)\/(n**1)**(-11)) assuming n is positive.\nAnswer: n**(2597\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 385 = -605. Let z = 63672 + -63662. Calculate the highest common divisor of s and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1525 - 1524. Is -5\/128 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-3))\/(-1) - 5740\/(-105). Solve 61*d - q*d = 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/5 (b) -3 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 708726 bigger than 708822?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + -62. Let d be (-3)\/4*20\/n. What is the nearest to d in -2\/11, -0.4, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 3*b + 4. Let j(f) be the first derivative of -f**3\/3 + f**2 + 3*f + 9. Let t(o) = -5*a(o) + 6*j(o). Factor t(d).\nAnswer: -(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12218015 + 9090199469\/744. Let p = c - -119\/62. Find the common denominator of 83\/24 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 128578 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2492641 - -0.25062. Round r to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 0 - (0 + 2). Let v = m + 7. Calculate the remainder when 0\/(-2) - (-15 + 1) is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -285 - -283. Sort -6, j, 3 in decreasing order.\nAnswer: 3, j, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 13*j - 2. Let l(i) = 13*i - 2. Calculate 3*b(c) - 4*l(c).\nAnswer: -13*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 315 * -12\nAnswer: -3780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3728, -7596, -11464?\n\"Answer: -3868*j + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 329.738 times -15.1\nAnswer: -4979.0438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (12 - 26\/299).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 15*p**2 + 608*p + 1223. Let w be r(-2). Solve -51*u + 16 = -w*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -643, -648, -653, -658, -663, -668?\nAnswer: -673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-20)\/(-15) + 1 + 30\/18.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2100222 - 1403?\nAnswer: 2043314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -8*u + 1. Let o(k) = 8*k - 2. Calculate 2*o(f) + 3*v(f).\nAnswer: -8*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -176 - 774452733\nAnswer: -774452909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -7 (b) -19 (c) -23 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {x: 1, f: 4, h: 3, c: 6}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3216 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2865842 (base 11) to base 14\nAnswer: 9237db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -491764, -1966962, -4425632, -7867780, -12293412, -17702534, -24095152, -31471272?\n\"Answer: -i**3 - 491730*i**2 - i - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r - 10 + 10. What are the prime factors of s(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 21120 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, k: 2}. What is prob of picking 1 r and 1 k?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*q - 49*q + 51 = 0. Let x = -47 - q. Factor 11*r**2 + 28*r**3 - x*r**4 - 16*r**3 - 4*r**5 + 9*r**2 + 8*r.\nAnswer: -4*r*(r - 2)*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1183 divide 20585383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 3:25 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.799 - -0.201. What is the closest to -1 in 2\/13, s, 0.5, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 28 + 3 = -3*s, -5*n = -2*s. Let i = n + -1. Differentiate -w**3 - i + 3*w**3 - 1 wrt w.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhlllllllhddol. Give prob of picking 1 d and 3 l.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence we when two letters picked without replacement from fwpbdeeb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(51) + sqrt(204)))\/(sqrt(3) + sqrt(48)*6))**2 + -1.\nAnswer: -472\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-6))\/((-1)\/18). Suppose 3*x = 5*x + 8. Let h = x - q. What is the remainder when 14 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dmrmddmrrdmmmmrmmmd. Give prob of picking 1 r and 2 d.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 < -2343.9072?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/32 of a kilogram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j = 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -10. Let z(u) = 3*u**2 + 17*u - 5. Let x be z(p). Do 8\/5 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 7*c + 2*c = -1, 4*x - 5*c - 4 = 0. Let n be -2 + (-1)\/(-21)*5091 + x. Let u = 241 - n. Sort 5, 2, u in decreasing order.\nAnswer: 5, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 639342.\nAnswer: 2, 3, 11, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 5*y + 9, y = 2*o - 0*o - 1. Let g be -1 - o\/(1*1\/(-2)). Let p(a) = a**2 + 6*a - 3. Let s be p(-6). Put g, s, 5 in decreasing order.\nAnswer: 5, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*r - 4 = 0. Solve -2*v - 4 = -2*t, 2*t - r*v - 4 = -0*v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21207 (base 10) in base 13?\nAnswer: 9864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.31 rounded to 1 dp?\nAnswer: -18.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*h - 7*h - h**3 - 8*h - 9*h + 46 + h**4 to v*h + p*h**3 + t + r*h**4 + d*h**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 3*o - 392 = 0. What is the remainder when o is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 1)*(4 + 3 - 6)*(-2*s**3 - 5*s**3 + 0*s**3).\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/3)*h)**(-15\/7)\/(h**(-3\/5)\/(h*h\/h**(1\/7)))*h*h**1*h**1*h**6*h\/(h**(1\/3)\/h) assuming h is positive.\nAnswer: h**(1228\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*(f\/(f*f**5))\/f*f**(-1\/7))**(-18)\/(f*(f\/f**(1\/5))\/f*f*f\/(f*f**6)*(f**(-2)*f)**(-30)) assuming f is positive.\nAnswer: f**(1707\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.027 + 0.053. Let o = 0.326 - p. Which is the nearest to -1\/4? (a) o (b) -2\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 335 = -5*g, 4*d - 4*g - 296 = 164. Let i = 207 - d. Suppose -5*w + i = -4*b, -7 = -4*b + 1. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/49 + (-10)\/(-14). Suppose 5 = k + j. Suppose k*w - 10 + 2 = 0. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 0*p + 2*p = 0. Suppose p = -0*n + 2*n - 10. What is the smallest common multiple of 6\/4 + ((-42)\/12 - -3) and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (z**3 - z**3 + 2*z**4)*(0 - 2 + 0 + (-3 - 3 + 5)*(1 + 0 - 2) + 3 + 3 - 4 - 1 + 0 + 4) in the form v*z**2 + f*z**4 + q + m*z + b*z**3 and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.23 and -5.\nAnswer: 1.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 a when two letters picked without replacement from {s: 8, l: 2, a: 9}.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1283 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4, -20, -44, -76, -116, -164?\n\"Answer: -4*j**2 - 4*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/19)\/(5\/5).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8303?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3275*y**2 + 3383?\nAnswer: -6550*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.01 and 0.0326.\nAnswer: 0.0426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 less than 34.694734?\nAnswer: 43.694734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 49*f**2 - 71*f + 135. What are the prime factors of t(-48)?\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -99 - -105. Let u(v) = o + 8*v - v - 3. What is u(-4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**0*u)\/u**(-3\/10) assuming u is positive.\nAnswer: u**(23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -513 - 3024?\nAnswer: -3537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -807, -1327, -1821, -2289, -2731?\n\"Answer: 13*u**2 - 559*u - 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.009+-1.6948109\nAnswer: -1.6858109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17458555 is divided by 1179.\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 40438 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.03 (b) -2 (c) -8\/69 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 3006.\nAnswer: 15030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130020 and 67020?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56433606*i**3 + 223*i + 37670?\nAnswer: -338601636*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18893 + -11913. Calculate the highest common factor of g and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7*z**2 - 178*z - 100. Let h be s(26). Let t(k) be the second derivative of 0*k**2 + 0 + k - 1\/6*k**3. Calculate t(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + sqrt(35) + -2*sqrt(140))\/(sqrt(7) + sqrt(42)\/(sqrt(12)\/sqrt(2)) + sqrt(7)).\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -30. Let p = g - 18. Suppose 5*f - 13 = p. Solve 3*s - o = -f*o - 1, s = -o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -115\/4, -2.3, 10, 3?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -44*k**3\/3 + 29*k. Let x be p(-3). What is the greatest common divisor of 24 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 4*d - 37. Let r be c(13). Suppose -4*n - 8 = -r. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*(b*b**(1\/21)*b)\/b)\/b*b**35)\/((b**(5\/4)\/b)\/b)**(-15))**(-34) assuming b is positive.\nAnswer: b**(-35411\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 51*g**2 - 96*g + 78. What is the hundreds digit of z(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (448 - -2)*-1*2\/(-3). Let d = -292 + h. Solve 4 = -4*j - b, -2*j + 0*b = -2*b - d for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-23)\/(i*i*i*i**(5\/9)) assuming i is positive.\nAnswer: i**(-239\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*l**3\/13 - 49502*l**2\/13 - 1465448*l\/13 + 210360\/13 = 0. What is l?\nAnswer: -3506, -30, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 4*k**2 - 3*k + 4. Let w be 20\/8*(-6)\/5*1. Let m be f(w). Suppose 5*b + 8 = -2*r, -m*b + 3*r + 3 = -9. Solve b = -n - 4*n + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1764 divided by 14\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351 is divided by 112.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -8.5.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -492*g**2 - 20*g - 9. Let q(f) = 979*f**2 + 40*f + 18. Let l(o) = -2*q(o) - 5*w(o). Find the second derivative of l(c) wrt c.\nAnswer: 1004","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 7*r**2 - 14*r + 25. Let i be o(-9). What is the nearest to i in 0.4, 16, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 268, 527, 798, 1087, 1400?\n\"Answer: d**3 + 252*d + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 708.8806 milligrams to micrograms.\nAnswer: 708880.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in ninety-one halves of a litre?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.53*3.9618.\nAnswer: -49.641354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1054 - -1053. What is the third smallest value in j, 1\/5, 44\/9?\nAnswer: 44\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -218, -487, -862, -1343?\nAnswer: -1930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8489 = 3*a - 5*y, -89*a = -92*a + 4*y + 8488. What is the highest common divisor of a and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 3*t + (-3 + 2 + 0)*(-t + 0*t + 2*t))*(13 + 3 + 24) to x*t + j and give x.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0 (c) 35 (d) -0.4 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 6:51 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.124 - -0.17. What is y rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((1 - (-5 + 6)) + -10 + 2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*b = 674*b + 463 - 4559 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 19 + 2*d + 1. Let z be j(-7). Let c(k) = -159*k - 2. Is c(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 9, m: 3}. Give prob of picking 3 b and 1 m.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373132?\nAnswer: 2, 93283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -12*g + 5*g - 5 + 0 + 6*g. Let o be j(-9). Let a(p) = 9*p + 6. Let m(k) = 3*k + 2. What is o*a(c) - 11*m(c)?\nAnswer: 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 45*m**2 + 15*m + 1289. Let j be l(44). Let s be 2\/(-4) - 218\/(-4). Let h = s - 15. What is the greatest common divisor of j and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/24 and -73\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 120 and 0.6.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 629610339?\nAnswer: 3, 379, 553747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x - 2. Let k be t(-2). Let v be (1 + (-1 - -3))*-1. Put k, -2, v in descending order.\nAnswer: -2, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120122021212000 (base 3) in base 14?\nAnswer: 11651ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0 (b) -3\/5 (c) -417\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xql when three letters picked without replacement from jlkqylyx?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**6\/120 + g**5\/60 + 5*g**4\/24 + 5*g**3\/6 + 334*g**2. Give v(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 6:07 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 6 = -3*g + 2*o, -5*g - 2*o + 15 = 0. Suppose i + 0*i = g. Suppose -i = -0*d - 3*d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-88)\/(-46) + (-13)\/(7176\/(-738)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/3))**(-2\/29))**(15\/8)\/(f**(1\/3)\/(f\/(f**(-3)\/f)))**(-41) assuming f is positive.\nAnswer: f**(-66599\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3679404ml in litres?\nAnswer: 0.0003679404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1608528 divided by 8556?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (-83 - -77 - (2 + -1 - 3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -7*h**2 - 6*h + 3. Let z be b(2). Let s be ((0 - -1) + z)*(-315)\/60. What is the highest common divisor of s and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -51047*n + 3*n**2 + 51047*n. Let q(u) = -3*u + u - u. What is q(c(d))?\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**3\/3 + 214*s. Let o(a) = -2813*a**2. Determine i(o(c)).\nAnswer: 5626*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.15 - -6.85. Let j = n - 7. Which is the second biggest value? (a) -0.4 (b) j (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 2020.\nAnswer: 22220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1488543 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d**2 - 8240*d + 108117. Calculate b(13).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 18*w - 51. Let a be m(3). Solve -6*z = -10*z + a for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of 0*x**4 - 1\/165*x**6 + 1\/1155*x**7 + 1\/1848*x**8 + 0 + 11*x - 2\/165*x**5 + 0*x**3 - 3*x**2. Determine v so that g(v) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1368.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.012 + 376.988. What is the nearest to 0 in -3, -0.3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 4*a - 160, -a - 2*a + 96 = 3*p. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66595 (base 12) in base 13?\nAnswer: -49961","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43 or -4588\/109?\nAnswer: -4588\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 18*l - 33. Calculate the remainder when w(15) is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -749 - -748.9. Let d = -27 - -28.3. Let t = d + -1.6. Which is the second smallest value? (a) 2\/3 (b) o (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 2 - 2. Let d be (-6 - -8)\/((-7)\/x). Which is the nearest to d? (a) 0 (b) 2\/11 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 19 = 23. Suppose i*a + 152 = 9*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 1\/7161364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -7. What is the remainder when 58 is divided by 2*(j - 0) + 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(15\/(-20)) + 9. Suppose l*z - 25 = -0*z. Let -z*v**3 + 0*v**4 + 2*v - 6*v**2 - 2*v**4 + 11*v**3 = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -223 + 1?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*p**2*t*z + 8504*p**2*z + 26*p**2 - 18*p*t*z - 3197*t*z wrt p.\nAnswer: -12*t*z + 17008*z + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Convert 302484.3 minutes to nanoseconds.\nAnswer: 18149058000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.4000155 + 6.4. Round m to six dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 39*a + 3. What is o(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5140813969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-2)*(20 + -20). Solve i = -11*p + 14*p - 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*v = -23 + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*k + 4*y, 3*k - 3*y - 2 = -y. Suppose -34 = -4*a + 5*w, -38 = -5*a + 5*w - w. Is k\/a*48 - -1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c + 5304 = -6*c. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/6*(-3)\/(-2). Let w = 13 - 7. Let q be (3\/9)\/(7\/w). Which is bigger: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 2*r. Suppose -4*c + c - 2*g + 6 = r, 0 = -4*c + 5*g + 31. Solve -b + 0*o = o - 2, 5*o = c*b - 26 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 - -11)*3\/4. Calculate the remainder when (l\/3)\/(3\/129) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5 + 2*i**2 - 1 + 12*i - 5. Let v(d) = d**2 - 4*d - 89. Let r be v(-8). Let w(a) = 3*a**2 + 18*a - 16. Let s(q) = r*u(q) - 5*w(q). Calculate s(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -570*k - 42547 = -7207 for k.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 73 and 13.\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y - 18. Let n be d(5). Which is the closest to 1? (a) n (b) 0.05 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 take away 4565?\nAnswer: -4564.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express q**4 + 1 + 317*q - 2670*q**2 + 2669*q**2 + 0 in the form w*q**3 + k*q + l*q**2 + m*q**4 + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(6) + 2 + (sqrt(2) - (sqrt(2) - (-4 + 2 + sqrt(2)))**2).\nAnswer: -2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/(-800)*-10*(-2 + 3)*-12. Suppose -v - 13 = 2*v - w, -5*w = 3*v - 11. Put 7, v, h, 2 in increasing order.\nAnswer: v, 2, h, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = x - 12. Suppose 504 = -x*z - 5*z. List the prime factors of (-5)\/(-8)*6 + z\/(-224).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 14 = -3*z, 0*z - 2 = 2*a - 3*z. Calculate the remainder when 37 is divided by 19 - 1\/a*-2.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001200110112 (base 3) to base 14.\nAnswer: -109a76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - 0)\/(-1 - 1). Let w = 8232010\/259 + -31784. Let h = -4\/37 + w. Which is the closest to x? (a) h (b) 1 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44075 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-8)*1326\/(-156).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*l**2 - 13*l**2 + 31*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, r: 3}. What is prob of sequence rkrk?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 296 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 479162406 a multiple of 686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 1, 85 = 11*i - 10*i - 3*u. What is the smallest common multiple of 14 and i?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.5 - -0.5. Let p = -258 + 260.06. Let b = -0.06 + p. What is the second smallest value in q, 0.3, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192738, -192764, -192790?\nAnswer: -192816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 133640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 2 = -6*f. Let w(v) = -5*v + 6. Is w(f) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 plus 564202?\nAnswer: 564183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19592 + 19594. What is the fourth smallest value in -3, -0.83, n, -6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o**3 + 2*o**2 - 3*o. Let p be d(-3). Suppose 0 = -4*u + 2*u + 5*b + 75, 4*b + p = 5*u. What is the remainder when 478 is divided by u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + 6*(sqrt(66) + sqrt(66)*2 + sqrt(66)) - 2*1*sqrt(66))*-3)\/((sqrt(6) + sqrt(294) - sqrt(6))*-4 + sqrt(6) - (sqrt(18)*3)\/sqrt(3)).\nAnswer: 23*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*x + 41 = -x, -4*t = 2*x - 12. Suppose -2*h + 11 = t*a - 8, -2 = 4*h + 2*a. What are the prime factors of (-294)\/h*2\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2742.00014925 - -2742. Round f to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of m**4\/12 + m**2\/2 - 22*m. Let b(t) = 7*t**2 - t + 6. Let f(r) = b(r) - 6*s(r). Let c be -1 + 1\/(-2)*-2. Calculate f(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -280, -820, -1314, -1456, -940, 540, 3290?\n\"Answer: 51*s**3 - 283*s**2 - 48*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 651978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4*z = -12, 4 = 2*z - 2. Sort -0.2, u, -2\/3 in descending order.\nAnswer: u, -0.2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -315546042 divided by 826?\nAnswer: -382017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**2 - l**2 - 2*l**5 + 4*l**5 + 2*l**5 - 4*l**5 - l**5 + 0*l**2 + 0*l**2 + (2*l + 4*l - 4*l)*(l**3 - l**4 - l**3).\nAnswer: -3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 2\/9, 2\/13, -2\/3, 4\/11?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1269 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 11:22 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 66*k - 226. Give q(21).\nAnswer: 1601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10111 (base 2) to base 15\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 646 - 4512\/7. Let f be (-88)\/(-1320) + (-106)\/(-210). Let 2*k**3 - 2*k - i*k**4 + f + 6\/7*k**2 = 0. Calculate k.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 77, 283, 659, 1235, 2041, 3107, 4463?\n\"Answer: 5*b**3 + 55*b**2 + 6*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 434.\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 10, b: 4}. Give prob of sequence bb.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjwwj. What is prob of sequence wwjj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*j + 45 = 4*j - 30 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31023 (base 4) to base 10.\nAnswer: -843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 2:32 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*c**3 + 61*c**3 + 66*c**3 + 36*c**3.\nAnswer: 224*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 143?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-177 - 198 + 55)*(2*p - p - 2*p)*(-2*p + 3*p - 2*p).\nAnswer: -320*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-308)\/(-63) - 5)*3)\/((-2)\/6). Which is smaller: -9\/23 or g?\nAnswer: -9\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1614 - -1616. Let w be 91\/(-14) + 1\/(-2). Sort w, -1, q, -3 in decreasing order.\nAnswer: q, -1, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3182, -12671, -28492, -50651, -79154, -114007, -155216?\n\"Answer: -b**3 - 3160*b**2 - 2*b - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**3 - 3*f. Let n(l) = -6*l**3 + 10*l. Let c(t) = 10*h(t) + 3*n(t). Factor c(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 2:06 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -231, -1011, -2311, -4131, -6471, -9331?\nAnswer: -12711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2976\/1736)\/(714\/49)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19405 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1000706454?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**2 + 37635*x = 0.\nAnswer: 0, 7527","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 78\/(-208)*8\/(-6). Factor 0*z + k*z**3 + 3\/2*z**2 + 0.\nAnswer: z**2*(z + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 4:45 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2074 divided by -43.\nAnswer: 2074\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 132 - 130. What is the second derivative of 2*k**5 + n + 7038*k**3 - 7038*k**3 - 37*k**2 - 27*k wrt k?\nAnswer: 40*k**3 - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.003799767301 from 0.2.\nAnswer: 0.196200232699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z - 7. Let o(k) = 4*k + 15. Suppose -7 = -2*v + t, -3*t - 2*t - 20 = -5*v. Let d(f) = v*o(f) + 5*l(f). Differentiate d(g) with respect to g.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(3\/7)))**8\/(p**(7\/5)\/p**(-4\/7)) assuming p is positive.\nAnswer: p**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 0.6. Let n = 0 - x. Let y = 558 - 559. Which is the nearest to y? (a) -1 (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 4*p - 11. Let c(f) = 4*f - 10. Let m(j) = -4*c(j) + 5*q(j). Let u be ((-2)\/(-3))\/((-5)\/45). Let y(s) = -2*s + 7. Determine u*m(b) - 13*y(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 AM and 5:27 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 - 6 - (-57239 - 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00453760925 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589 is divided by 267?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 0, d - 5*p = 3*d - 4. Let a = 3.04 - 0.04. Let w = 225 + -2478\/11. What is the third smallest value in a, d, w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7008*b - 30814*b - 13700*b - 4689*b - 21322*b.\nAnswer: -63517*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 2:19 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in -4, 59, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.46 + 0.16. What is the closest to -0.1 in f, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**5\/4 - 6*y**4 + 113*y**3\/4 + 217*y**2\/2 - 117*y - 338 = 0. Calculate y.\nAnswer: -2, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by -3.\nAnswer: -43\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-87)\/(-493)*323\/57?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 0*r - 10 + 1\/6*r**6 + 1\/2*r**2 + 0*r**3 + 0*r**5 - 1\/2*r**4. Determine c, given that v(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -84 + 91. What is the smallest common multiple of 6 and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**4\/78 - 4*w**3\/39 - 12*w**2\/13 - 21*w + 2. Factor j(h).\nAnswer: 2*(h - 6)*(h + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 5*v**2 - 8560*v + 8555 = 0.\nAnswer: 1, 1711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + (22 - 17) - 75) + -14 + 3?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, v: 2}. Give prob of picking 1 j and 1 v.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 3*x - 53, 4*j - 2*x + 3718 = 3748 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 3:48 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -832*c = -842*c. Let l = -4 + 9. Let z(s) = -s**3 - 3*s**2 + 3*s + 4. Let p be z(-3). Sort p, l, c in descending order.\nAnswer: l, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (223\/3)\/((-43)\/(-387)) is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*g + 57*g = -39 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.2 + -3.1. Let m = i + 28. Let j = m + -32. Round j to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22933\/91 + -53\/91. Let o = 252 - v. Let f be 4\/(-8) - 1\/(-2). Is o greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**5\/60 + x**4\/6 - x**3\/6 + 4*x**2. Let y be f(-3). Sort 1, y, 5.\nAnswer: y, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c**3 - 1027132*c - 2440371 with respect to c.\nAnswer: 9*c**2 - 1027132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.07, -6, 2.1, -3?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 29359404 * -3\nAnswer: -88078212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -60183\/28? (a) 1\/9 (b) -0.2 (c) 0.5 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54145 and 2125?\nAnswer: 1353625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 140884606 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 11:05 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4351 - 205?\nAnswer: -4556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3 = 4*a + 19, 4*a - 5*f = 12. Let m be 149*(-2*2)\/a. Let t = m - 157. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7272365?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-5*(sqrt(196)*-2 - sqrt(196))*5)\/(sqrt(448)*-1*2 - -1*-2*sqrt(448)))**2.\nAnswer: 354375\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8060 - -8057. Suppose v + k - 2*k = 0, -v + 3*k - 6 = 0. Suppose l - 5*u + 10 = -4*l, 5 = -2*l + v*u. Sort l, 4, -2, r in decreasing order.\nAnswer: 4, l, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2408 + 2456 - 4901 + 19*x**3 in the form i*x**3 + f*x + a + u*x**2 and give a.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0021995413 rounded to 6 decimal places?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 346425941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, b: 1, f: 2, y: 1, o: 1, p: 1}. Give prob of picking 1 p, 1 y, and 1 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46368826?\nAnswer: 2, 7, 17, 194827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r. Let t(x) = 13668*x**2. Give t(a(p)).\nAnswer: 54672*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1591, 2563, 2913, 2641, 1747, 231, -1907?\n\"Answer: -311*j**2 + 1905*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 16 = -g - 4*g, -4*g - 5*o + 18 = 0. Find the first derivative of -6 - 4*p**2 + 15 + 21*p**g wrt p.\nAnswer: 34*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/(-3))\/(8\/(-402)) and 1780\/(-168) + (-3)\/(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.4, -0.7, -75.\nAnswer: -75, -0.7, 0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -x**4\/4 + x**3 - 3*x**2\/2 + x + 21. Determine a, given that c(a) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49*i**2 + 83*i - 18*i**2 + 0*i**2 - 53*i**2 + 191*i wrt i.\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -254*g + 241. Calculate the remainder when j(0) is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -86154*i**3 + 4*i**2 + i - 5924 wrt i.\nAnswer: -258462*i**2 + 8*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*b + 120*b = 0. What is the nearest to 2 in -1\/5, 8, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 10 = 3*m. Suppose m*z + 54 = -176. Let b = -32 - z. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r + 1. Determine a(-7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 123 = -s. Suppose 0 = -4*j + 70 + 206. Let w = s + j. What is the remainder when w is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + -40. Suppose 0*f = -2*f + 2, -2*q = m*f - 1040. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5133885 rounded to the nearest 1000?\nAnswer: -5134000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -f**5\/5 + f**4\/4 - f**2\/2 + f + 32. Let z(q) = 4*q**4 - q - 3. Let k(p) = -6*n(p) - 2*z(p). Find h, given that k(h) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 5127 and -167967 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 259110457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1476 is divided by 603.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95847414?\nAnswer: 2, 3, 13, 281, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1*-1)\/((-948)\/20856).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -j - 5*a, -j = -0*j + 2*a - 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, -78.8, 1.21, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 23*x**2 - 2567. Let k(o) = 22*o. Calculate a(k(r)).\nAnswer: 11132*r**2 - 2567","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0107329 rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**5\/10 - 2*g**3\/3 + 9*g**2\/2 - 33*g. Let y(p) = -99*p - 95*p + p**3 + 8 + 191*p. What is -3*k(o) + 4*y(o)?\nAnswer: -2*o**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**2 - 21*j**2 - 4*j**2 as x*j + w + i*j**2 and give i.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q - 4. Let y be 1*3*(-8)\/3. Let m = 8 + y. Determine c(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2\/13, -2\/35 in increasing order.\nAnswer: -2\/35, 0, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of 3*b**6 + 11*b**3\/3 - 23. Find the third derivative of c(k) wrt k.\nAnswer: 1080*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16.137 - 0.163. Let r = -3275 + 3294.61. Let a = r + z. Round a to one decimal place.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 11*a = 4*a + 5, 5*m = 4*a - 32 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 20832, 20818, 20792, 20754?\n\"Answer: -6*u**2 + 4*u + 20834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 7:13 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 4:38 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2c (base 16) to base 11\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-7)\/(d*d**(-10))*d**18*d*d**9 assuming d is positive.\nAnswer: d**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10398362?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 1\/6*o**3 + 0*o**2 - 2*o + 0. Let a(w) = -3*w**2. Give q(a(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (-3)\/(2\/2). Let r(h) = 10*h**d - 4*h**2 - 9*h**2. Let q(k) be the second derivative of k**4\/6 - k. What is q(r(y))?\nAnswer: 18*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -14. What is the units digit of (x\/(-2))\/5*-18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 124036 equal to 123799?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 147 and 3199112.\nAnswer: 9597336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -2\/9, 1\/44, -4, -1\/3 in increasing order.\nAnswer: -4, -1\/3, -2\/9, -0.2, 1\/44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 15*i - 12. Suppose -52*a = 44*a - 436 - 908. What is d(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -0*n + 14*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 392 and 476.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10*(-17)\/17*2\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33094 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 4 - (20 - (-16 + 26)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55 - 384\/7. Let y = -41.2 - -41. Put 0.4, -1\/2, y, d in decreasing order.\nAnswer: 0.4, d, y, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258 - 1618 = -10*h. Round h to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1891, 8065, 18355, 32761, 51283, 73921?\nAnswer: 100675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 7 = -1. Put 3, -7, u, -3 in decreasing order.\nAnswer: 3, u, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 5329, -2\/7, -12, 6\/5 in descending order.\nAnswer: 5329, 7, 6\/5, -2\/7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) - sqrt(2744)*2)\/(sqrt(96)\/sqrt(48)).\nAnswer: -26*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f + 0*f - 7*f + 23*f**2.\nAnswer: 23*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -69, -123?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 6. Let u be c(-9). What is the closest to -1 in -2\/21, 4, u?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 3*u + 2. Suppose -4*c + 3 = -j, 1 + 2 = -j + c. Let r be m(j). Sort -4\/5, 0.1, r in decreasing order.\nAnswer: r, 0.1, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 9) to base 2\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.078, 5, 3, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l - 7. Let d be c(9). Let r be (6 - 38\/7)\/(d\/21). Suppose -6*y + 18 = -3*y. Solve -i = -4*x - y*i - 10, r = 2*x - 3*i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -1\/2, -3, 3, 0.096?\nAnswer: 0.096","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 3:20 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 9:50 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -1\/2*d**2 + 2\/3*d**3 + 1\/4*d**4 - 2*d + 5. Suppose t(j) = 0. What is j?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -577, -630, -725, -868, -1065, -1322?\nAnswer: -1645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/1236410 and -37\/1236410.\nAnswer: 1236410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -35 + 21 + (112 - 24).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 140864 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/398590 and -43\/1833514.\nAnswer: 9167570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -3\/2 (b) 1\/493 (c) 0.2308\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -4.6, -45, -1\/79?\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of g**7\/35 - 11*g**4\/24 + 8*g**2. Find the second derivative of h(x) wrt x.\nAnswer: 72*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*q + t - 9, 5*q + 4*t = 19. Is (q - 5)*(-1052)\/8 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, p: 9, k: 2, x: 3}. Give prob of picking 2 p.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*q - 9, 2*o = 5*q - 0*o - 15. Suppose 0 = -5*a + 11 - 1. Let v(z) = -z + 4 - 2 + 3 - q*z**2 + 2*z**a. Calculate v(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010 - 10221?\nAnswer: -20001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -17. Let d = 12 - y. Suppose -114 = -d*o + 74. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, h: 8, s: 6, c: 3}. Give prob of picking 1 h and 1 q.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56) + (sqrt(56) - (sqrt(224) - sqrt(224)*-1)))\/(5*sqrt(36)))\/((-1*sqrt(1458) + sqrt(18))\/(-1*sqrt(1089))).\nAnswer: -11*sqrt(7)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*j - 161 - 10 = 0. Suppose -4 = -4*n + 3*n. Suppose n*g = -5*z - 10, g + 3*g - 5*z = 10. Put -4, g, j in descending order.\nAnswer: j, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45*(-3)\/((-2889)\/2140).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10241*b - 11661*b - 12*b**3 - 198*b**3 wrt b?\nAnswer: -1260*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00511431549 rounded to four decimal places?\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*v = 15928 + 14762. Let d = v + 31. Does 36 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 2*u + 30 = 0. Let t(o) be the first derivative of -o**4\/4 - 7*o**3\/3 - 7*o**2\/2 - 7*o + 1. Determine t(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 1 = -3*d + 4*d, -5*d - 16 = -4*x. Let p = -6 - -6. Let u(v) = p*v - v + v + v - 2*v**3. Give u(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81413112 minus -1.8038?\nAnswer: 81413113.8038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cz when two letters picked without replacement from zvcvvvlvvvvlc?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g + 101 + 7*g - 101.\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a hour in seconds?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 1 = -17. Let z(t) = -5*t. Let o be z(-2). Solve 3*n - l + o = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3812 divided by -16\nAnswer: -953\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v - h = 4*v - 2, v - h + 2 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 12*w**2 - w + 8. Let l be n(12). Let y be l - 3*132\/(-90). Let t = 6 - 3. What is the closest to y in -2, 2\/9, t?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 80271111 - 1.\nAnswer: 80271110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 309297\nAnswer: 4\/309297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -1, -4, -3025 in increasing order.\nAnswer: -3025, -16, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1520 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77835?\nAnswer: 3, 5, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*v - 8*t + 5*t, 3*v + 5*t = -14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 276 divide 310156636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -h + 35. Let x = h + -6. What are the prime factors of x\/(2*(-3)\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/45)\/(16\/(-2080)) + -12?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - -1)*(3 - 4). Let y(h) = 0*h**3 + 4*h**2 + 3 - 5*h + h - h**z + h. Determine y(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -1\/5, 1739, 187 in increasing order.\nAnswer: -5, -2, -1\/5, 187, 1739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11899639 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 156272373 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1373*v - 4 + 24 + 19 - 39 in the form l*v + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6104 + 10239. Suppose 5*d = 18212 + z. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 20. What is the least common multiple of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 38*m**2 + 74*m - 68. Let w be j(36). Solve -25 = -w*z - 17 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -48, -9, 94, 291, 612, 1087?\n\"Answer: 5*v**3 + 2*v**2 - 2*v - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n\/(((n**(-6\/5)\/n)\/n)\/n)))\/n)\/n)**8 assuming n is positive.\nAnswer: n**(-288\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of r**8\/1848 + 34*r**7\/1155 + 24*r**6\/55 - 17*r**5\/165 - 289*r**4\/132 + 1560*r**2. Find q such that i(q) = 0.\nAnswer: -17, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mbpjemeijjjjjj. Give prob of sequence bej.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, f: 4, a: 9}. Give prob of sequence hhf.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 10*j - 27. Let f be k(-5). Let m be (10\/20)\/((-5)\/f - 2). Calculate the highest common factor of m and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12450153 (base 7) in base 15?\nAnswer: 177376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-7))\/(24\/28). Let v = 5055 + -5055. Sort -3, v, -0.1, s in descending order.\nAnswer: v, -0.1, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/2)*m**5)**12\/(m*m*m**(-6)*m*m**0*m**(1\/3)*m**1) assuming m is positive.\nAnswer: m**(203\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 - 29601.6800686?\nAnswer: -29355.6800686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*o - 9*o + 20 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*m = 20 + 20 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.075664 + -17.938836. Let k = 14.7 + 3.3. Let w = k + n. Round w to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148, -108, -46, 38?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -200, -5879, 0.4 in decreasing order.\nAnswer: 0.4, -200, -5879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -192 by 3.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - (-19 - -4 - (-24 - 1))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122831068?\nAnswer: 2, 30707767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5 or -1093783?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12310 + 12311. What is the closest to l in 15, -8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 - -1. Let u = s - 38. Let v be (-10)\/35 - 74\/(-14). Which is the biggest value? (a) 0 (b) -3\/5 (c) u (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.3 (b) -991\/4 (c) 1\/7 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7450648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 6*u + 3. Let i be r(6). Suppose i*c - 10 = -2*c. Let b(z) = 3*z**2 + z. What is the lowest common multiple of 12 and b(c)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-95)\/20)\/((-3)\/36). Suppose 3*v + v - 2*i - 58 = 0, 4*v = 3*i + g. Suppose t + 2*c = v, 4*t - 2*c - 45 - 5 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 59*l + 536, 0*t - 3*t - 5*l - 21 = 8*l - 9*l for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*l - 2*l + 1162 = 0, -4*l - 2891 = -5*o. Is o greater than or equal to 575?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 223 - 222.89. Which is smaller: q or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.18 - -0.72. Let x = k + 2.1. Let v = -2.7 + x. Which is the biggest value? (a) 0.2 (b) 0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231 - 406 + o**3 + 1111 - 474.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 2*a**2 - 7*a + 17. Determine m(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11806 * 0.5.\nAnswer: 5903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4414852*o**2. Let n(s) = -2*s**2. What is n(h(a))?\nAnswer: -38981836363808*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 1. Let g be q(-3). Suppose g*b + 108 = 8*b. Calculate the greatest common divisor of b and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a minute in seconds?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-26 + 25)*(-147)\/1 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 586, -3\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 93351577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -364\/5503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**2 - 2695*b + 97035. Give v(37).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -150 - -168 - ((-12)\/(-6) + -4).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5754082 - 8671402440\/1507. Let y = -4\/137 - s. Factor 0*x - 4\/11*x**2 + 0 - y*x**3.\nAnswer: -2*x**2*(3*x + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -228720 divided by 120.\nAnswer: -1906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1460 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(50))**2 - sqrt(50) - (sqrt(2) - sqrt(20)\/(sqrt(50)\/sqrt(5))).\nAnswer: -5*sqrt(2) + 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**2 - 207330*v + 29689088 = 0?\nAnswer: -103808, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 3*t + 15. Let f be 126\/420 + (-3)\/10. What is r(f)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/2 - 13*q**2\/6 - 4*q\/3 + 2.\nAnswer: -(q + 2)*(q + 3)*(3*q - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -5) + (-31 - (-44 + 16))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-30))\/(-16*10\/(-400)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*4*sqrt(11) - (0 + sqrt(11) + sqrt(704) + sqrt(11))) + 1.\nAnswer: 1 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 2. Suppose 0 = 3*r + l - 18. Suppose -r*j = -2*p + 28, -p + 3*j + 9 = -0*j. Solve -3*s - p = -9 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19.09 - -19. Let t = 0.1 - q. Let x = 0.18999924 - t. Round x to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1615128 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 + 2 = 9*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 3:21 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 0*u**3 + 0 + 0*u + 0*u**7 + 0*u**6 - 19\/60*u**5 - 1\/48*u**8 + 0*u**4 - u**2. Find the third derivative of y(p) wrt p.\nAnswer: -420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*i*v**4 + 11*i*v**2 + 659*v**5 - 2*v**3 + 3181*v wrt v?\nAnswer: 312*i*v + 39540*v**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u + 22*u = 11*u + 60 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/7? (a) 27 (b) 33 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*d = 5*d + 112 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67451 is divided by 292?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 6. Suppose -2*a + j + 5 = 0. Solve 10 = 3*v + 5*l, a*v + 5*l - 2*l = 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 + 2 - u**3 + 48)*(8*u - 8*u + 9*u**2).\nAnswer: -9*u**5 + 198*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 7*l - 4 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h - 13. Suppose 24 + 32 = 5*z + 26. Give m(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 203*n - 242*n - 39 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 90261031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 (base 10) in base 12?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/19)*c*c*c\/((c*c\/(c*c*c\/c**20*c)*c)\/c*c)*c*c)**(-43) assuming c is positive.\nAnswer: c**(11352\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*o + 4*o - 162*o**2 + 163*o**2 - 3 + 9*o - 8*o to the form m + z*o**2 + g*o and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3 - (-208)\/12. Let i = a + -10. Let l = i - 3. Solve -l*r = -2 - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 379273, 1517121, 3413539, 6068533, 9482109, 13654273, 18585031?\nAnswer: 24274389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 0)\/(0 - -2). Let g = -4 - n. Let x be (g - 0)*(-3 - -2). Sort -2, x, -5 in increasing order.\nAnswer: -5, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 10:32 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert bb (base 16) to base 11.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15585 divided by -3117?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25029228?\nAnswer: 2, 3, 7, 297967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**2\/11 + 524016*i\/11 + 3667034 = 0 for i.\nAnswer: -261931, -77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 407 + 78 = 0. List the prime factors of y.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 12, -198 in descending order.\nAnswer: 12, -5, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -51, -141, -297, -525, -831?\n\"Answer: -s**3 - 27*s**2 - 2*s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*1*(0 - 1). Suppose 6*x = i + 3*x + 3, -i = -x + 3. Let t(c) = -c. Let v be t(i). Sort s, v, 2 in descending order.\nAnswer: v, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 0*a**5 + 0*a**3 + 0*a + 0 + 1\/96*a**4 - 1\/480*a**6 - 3*a**2. Factor g(y).\nAnswer: -y*(y - 1)*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 1:17 AM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(25\/(-15) - -2). Suppose -325 = -y*u - 7. What are the prime factors of u?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2357776?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 6*l - 5. Let p be o(-4). Let y = -6 + 5. Put p, y, -5 in decreasing order.\nAnswer: p, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**2. Let j(y) be the second derivative of -19*y**4\/2 - 5*y - 2. Determine p(j(k)).\nAnswer: 25992*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a factor of 3084120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3 = 5*v + 3*d, -2*d - 13 = -v. What is the second derivative of 70*i**3 - 6*i - 70*i**v - 21*i - 16*i**5 wrt i?\nAnswer: -320*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221647607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1279250 to the nearest integer?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 3496900*d**3\/3 + 896665*d**2\/3 + 1882*d + 3 = 0?\nAnswer: -1\/4, -3\/935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-285)\/(-3))\/(-19) - (-2)\/(8\/111388)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1156218 to the nearest integer?\nAnswer: 1075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5378\/7945 - -24\/35. Suppose 0 = -3*f - 11*f. Does s = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/10)\/(22\/2090*19).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2 - 5 + 4*f + 5*f**2 - 4*f**2 - f**3. Suppose 0 = 2*k - k - 2. Suppose 0 = -3*x - 3*r + 6, k*r - 1 = x - 3. What is u(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-4.082339.\nAnswer: -2.0411695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59*18.586.\nAnswer: 1096.574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 35*p**2 - 1. Let h be t(-1). Let a = h + 28. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -127414415 - -127414875.1047472. Let h = -502.104753 + f. Let z = -42 - h. What is z rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 6428 (b) -0.5 (c) -2 (d) -4 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200)\/sqrt(10)*2 + -1 + 1.\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - -8. Factor -21 - n**2 + k.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + ((-2)\/(-8))\/((-25)\/160). Solve -l*j**2 + 1\/5*j**3 - 1\/5*j + 0 + 2\/5*j**4 = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*k = 10, 2 = -2*c + k - 0. Suppose c*l + 20 = -2*l. List the prime factors of 58\/7 - l\/(-35).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*v - 360. Let k = -46 - v. Calculate the least common multiple of k and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -668444, -1336890, -2005336, -2673782, -3342228?\nAnswer: -4010674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 16. Suppose -6 + 3 = -3*m. Let y be i*5*m\/(-4). What is the greatest common divisor of y and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -19 + 19 - 4*a**2. Let m(k) = k + 0*k + 2*k - 4*k. What is v(m(s))?\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - s - 727, 3*s + 17 = k - 236. Suppose k - 27 = 3*g + 2*w, 257 = 4*g - 3*w. Let z = g - 36. What is the greatest common factor of z and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*c - 8*c - 44*c**3 - 3*c to l + w*c + g*c**3 + b*c**2 and give g.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/113? (a) 3\/8 (b) 3\/7 (c) -15 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/23 in -7, 551\/3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2092\/119 - -158\/17. Calculate the common denominator of -17\/6 and p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 28*p**2 + 579*p - 1685. What is k(-25)?\nAnswer: 1340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.49 - 8.01. Let t = 1.5 - i. Let m = 0.1 - 0. Which is the smallest value? (a) -4 (b) m (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2212121 - 111302?\nAnswer: 2100213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 5*a**4\/12 - 2*a**2 + 3*a. Differentiate s(f) with respect to f.\nAnswer: 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1367, 2680, 3969, 5234, 6475?\nAnswer: 7692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.44 - -0.06. Put 3, -4, g in increasing order.\nAnswer: -4, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4 (b) 2\/5 (c) 376 (d) -2864\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/(-10))\/(2808\/(-1710))*-15 and 9\/2?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -6*w + 17 + 6*w - w. Let c be q(16). Solve -k + 8 = 3*s, 7*s - 3*s + c = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2945609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**4 - 1816*d**3 - 1098072*d**2 - 220341600*d + 445090032 = 0. Calculate d.\nAnswer: -606, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -46 - -67. Let p(t) = 1 + 12*t**2 - l*t**2 + t + 8*t**2. Let f be p(2). Is f > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 12*q - 28. What is the smallest common multiple of x(4) and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**2 - 48606607*j + 19442642 = 0. Calculate j.\nAnswer: 2\/5, 9721321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1423, -0.6 in descending order.\nAnswer: -0.3, -0.6, -1423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/117, 42, -0.8, 4?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3890.907l in millilitres?\nAnswer: 3890907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + v + 5. Let n be k(2). Let t be (-3)\/(n\/(-2))*(-121)\/(-22). Solve -5*l + c + t = 3*c, 1 = -l - 2*c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.48 + 0.32. Let w = c - 1.8119. Round w to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 16 + 14 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**2 - 19248540*c - 19248537 = 0.\nAnswer: -6416179, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -16*c - 215. Let f be q(11). Let n = f + 395. Solve 0 = -n*d - 4, 2*d - 1 = -5*u - 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -13*d - 228. Calculate b(-17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**3\/2 - 802*c**2 + 84261*c\/2 - 119160 = 0. What is c?\nAnswer: -1655, 3, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1073 + -1038. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -1207*q - 19352. Give c(-16).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1670642, -3341300, -5011966, -6682640?\nAnswer: -8353322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -72 - 272224?\nAnswer: -272296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 15*p**4 - 3*p**3 + 11*p**2. Let n(z) = -15*z**4 + 4*z**3 - 10*z**2. Let k(g) = 4*i(g) + 3*n(g). What is the third derivative of k(j) wrt j?\nAnswer: 360*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32487.\nAnswer: 3, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -11*k**3 + k**2 + k - 1. Give t(-2).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12233 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**3\/6 + 5*f**2\/2 + 4*f. Let b be j(7). Let c be 1 + 2\/(6\/9). What is the greatest common divisor of c and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4459 is divided by 890.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1*-5)\/((1110\/(-11655))\/(4\/(-14)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1505 divided by -8.\nAnswer: -1505\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0096401 + -0.0096401. Let x be 0\/3 - (-2 - -1). What is the closest to x in -0.1, j, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3282 + 318*j**2 - 3282 - 1246*j**2 to the form h*j + s + o*j**2 and give o.\nAnswer: -928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3761032*c - 82742708. Give g(-22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m**3 - m**2 - 2*m - 2. Let d be a(-2). Suppose 5*b = 3*v - 28, -40 - 13 = -5*v + 2*b. Let u = d - v. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3148\/11 + 286. Which is the closest to 1\/2? (a) n (b) -5 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**3 - 2 + 0 - g**3 + 3*g**3 wrt g.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 + 46 = 3*g. Let x = g - -135. What is the greatest common divisor of 17 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -307, -2273, -7769, -18607, -36599?\n\"Answer: -302*b**3 + 47*b**2 + 7*b - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 v when four letters picked without replacement from {h: 2, l: 8, v: 7, c: 1}?\nAnswer: 49\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74 + -61 - (-2 + 11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 + (30 - (2 - 4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 748 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-705*q + 703*q - 7 - 7)*(1 + 2 - 1) to s + v*q and give s.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-308)\/(-40) - (-3)\/(-6)) + -4 + 0. Factor 0 - 16\/5*h**3 + z*h**2 + 0*h + 4\/5*h**4.\nAnswer: 4*h**2*(h - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -11*t**2 + 2*t - 4. Determine s(2).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2519*n + 2515*n = -12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, m: 3}. Give prob of picking 2 a.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7660037 litres in millilitres?\nAnswer: 766.0037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 384965779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*i**3 + 24*i**3 - 7*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**6\/24 + 9*d**5\/4 - 305*d**4\/24 - 145*d**3\/2 + 105*d**2 + 6*d - 2. Factor y(h).\nAnswer: 5*(h - 3)*(h + 1)*(h + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 7*t**2 - t - 64. Let m(j) = j**3 - j**2 - j - 207. Let l(x) = -x**2 + 41. Let k(n) = 4*l(n) + m(n). Give -7*k(z) + 5*v(z).\nAnswer: -2*z**3 + 2*z - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85 + -89. Let k(l) = 12*l + 29. Let f be k(v). Which is smaller: -21 or f?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.52 - 27.48. Let q = y - -26. What is the closest to -0.1 in -5, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4317 or 4493?\nAnswer: 4493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 1348?\nAnswer: 12132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44382 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 454 + -386. Let h(r) = 3*r + 2. What is the remainder when b is divided by h(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*(sqrt(3) + 2))**2 + 0.\nAnswer: 249 + 144*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18536, 36912, 55288, 73664?\nAnswer: 92040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 0*g - g)*(-2 + 4 - 5)*(-5 + 2 + 5).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 2 + 1302*h**3 - 2 + 447*h**3.\nAnswer: 1749*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*g**3*q + 38239*g**2*q**3 + g*q**3 + 2*g*q**2 + 65*g*q - 2*q**3 wrt g?\nAnswer: 24*g*q + 76478*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17571 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-5)*1\/33*11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmqqqmmmm. Give prob of sequence mq.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03 + -13.53. Let h = -13 - j. Let l = -106\/7 - -1392\/91. Which is the closest to -1? (a) -0.4 (b) l (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479364 is divided by 6854.\nAnswer: 6438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(70)\/sqrt(2))\/(5*(sqrt(42)\/sqrt(6) + sqrt(7))).\nAnswer: sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355932616.\nAnswer: 2, 13, 3422429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2425296593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24822375 to the power of 1\/2, to the nearest integer?\nAnswer: 4982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pukr. Give prob of sequence rku.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*x + 59*x + 75*x = -145. Sort x, 2, -1435 in ascending order.\nAnswer: -1435, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 10 - 2. What is the tens digit of ((-12)\/8)\/(g\/748)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bjb when three letters picked without replacement from hhbhyjrrrbrbr.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3957, 7812, 11589, 15282, 18885?\nAnswer: 22392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 4*a**2 + a + 7. Let i be o(-4). Solve 4 = f, 32 = i*b + 5*f - 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5194337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11\/(-33))\/((-40)\/(-30)*-1). Which is the closest to 0.1? (a) 2 (b) k (c) 9\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 4*o - 16, -3*o + 398 = 389 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 13451151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f = 4. Is f\/(-10) + (-1464)\/(-60) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 - 3 + 3 + (1 - 1 - 2*q)*(110*q**2 + 139*q**2 - 185*q**2) - 3 + 2*q**3 + 3.\nAnswer: -127*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3842 and 180574?\nAnswer: 180574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**4 + 5*n**4 - 4*n**4 - 2*n**4 - 2*n**4 + 3*n**4 + (-n**3 - 3*n**3 + 2*n**3)*(3*n - n + 0*n) - 6*n**4 - 9*n**4 - 5*n**4 - 4*n + n**4 + 4*n.\nAnswer: -22*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 plus 92963?\nAnswer: 92974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5 + 11 + 27*z + 5 + z**3 + 9*z**2 - 16*z. Calculate u(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -x - 4*w, w = -x - 4*w + 33. Suppose s - x = -3. Let p be (0 - -2)*(-2)\/(-2). Solve p*r = s*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/6*(-1737)\/(-6))\/1. Let k = 320 - s. List the prime factors of k.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, 5, -11, 0, -1\/3 in descending order.\nAnswer: 5, 0, -0.06, -1\/3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20570 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.083*-0.5.\nAnswer: -0.0415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 131\/145 - 3\/29. Factor 0*b**3 + 2\/5*b**5 + v*b**2 - 2\/5*b + 0 - 4\/5*b**4.\nAnswer: 2*b*(b - 1)**3*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5\/3 + 1162*h**4\/3 - 13400*h**3 + 204256*h**2\/3 + 3226880*h\/3 - 8104800 = 0. What is h?\nAnswer: -614, -9, 10, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 3*z + z)*(3*z - 3*z - 16*z**2) + 5*z**3 + 2962 - 2962 + 3*z**2.\nAnswer: 37*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3*14\/(-1428))*2\/4.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -2619.\nAnswer: 4\/2619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50383 is divided by 4159?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 18*n**2 + 1049*n - 6595. Calculate a(6).\nAnswer: 347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(304)*-3 + (sqrt(171)*-3*-1)**2.\nAnswer: -12*sqrt(19) + 1536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**3 - 32*o**2 - 711*o + 1041. What is f(28)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2*103\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3595a (base 14) to base 12.\nAnswer: 63850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-3) - (-8 + 6). Let v be d\/(3\/(-30)*3). Let o(l) = -3*l. What is the tens digit of o(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqb when three letters picked without replacement from {c: 1, b: 2, z: 1, q: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 459 in 948\/5, 7\/5, -1\/3?\nAnswer: 948\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0607? (a) 0.4 (b) 0.1 (c) -4 (d) -244 (e) 1\/2 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 88*l + 1757. Give n(30).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5548 and 46724.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9238715?\nAnswer: 5, 37, 49939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.1609005 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2076628 > 2076625?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 0*x + 4*x)*(-2*x**3 + x**4 + 2*x**3) - 27*x**5 + 4*x**5 - 19*x**5 - 3*x**5 - x**5 + 5*x**5 + (3 - 3 + 3)*(-3*x**5 - 2*x**5 + 4*x**5).\nAnswer: -42*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*n - 172 = 0, 2*h - 57 = 4*n + 39. Suppose -155 = -21*k - 29. Calculate the least common multiple of k and h.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of a**7\/840 - a**6\/45 + 7*a**5\/120 - a**4\/8 - a**3\/6 + 3*a**2. Let g(n) be the first derivative of i(n). Calculate g(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -7*b**2 + b - 6. Let p(d) = 1069 - 1066 + 4*d**2 + 2*d - 3*d. What is -3*c(u) - 5*p(u)?\nAnswer: u**2 + 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 367363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/12)\/(225\/(-135)))\/((-6)\/(-3))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-251845)\/(-9158)*(-40)\/22.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -105*h**2 + 343. Let j(b) = 19*b - 1. Give y(j(l)).\nAnswer: -37905*l**2 + 3990*l + 238","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(91)\/sqrt(7) + sqrt(13) + sqrt(13) - (sqrt(26)\/(sqrt(2)*4))**2.\nAnswer: -61\/16 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 + 16*x - 128. Let f be o(-22). Solve -3*w - 26 + 11 = 3*y, -f*y = w + 17 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 3*o - 33, 5*a - 11 = 14. Let n = 8 + o. Let s be n\/((-2)\/(-4)*2). Round s to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**2 - 20*s + 117. What is a(8)?\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u + 13. Let d(a) = a + 20. Let x be d(-10). Let s be l(x). Let t(y) = y**2 - 6*y + 4. Calculate t(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*t + 2*g, -4*t + g - 7 = -t. Let h = -57 + 63. Suppose b = h*b - 20. Put t, 8, b in decreasing order.\nAnswer: 8, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 9021.9?\nAnswer: -902.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(5\/6)\/q*q\/(q*q\/(q**(-1\/7)\/q)))**(-22) assuming q is positive.\nAnswer: q**(1067\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**4\/6 - 17*n**2 - 26. Let u(j) be the second derivative of h(j). Let v(x) = -8*x. Determine v(u(t)).\nAnswer: 32*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**5\/15 + g**2 - 10*g - 17. Let x(v) be the second derivative of -31*v**4\/12 + 3*v. Give x(s(o)).\nAnswer: -496*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2*25\/(-80)*-8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 14 = -3*t. Let i = -114 + t. Let w = 153 + i. What is the highest common factor of w and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 721*a**6 + 8*a**5 - 5*a**2 - 6*a - 2 wrt a.\nAnswer: 86520*a**3 + 480*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 256, 248, 234, 214, 188, 156?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4231489 to the power of 1\/2, to the nearest integer?\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*n - f = 89, 2*n = -4*f + 74. Suppose 0 = -w - 3*w + 16. Suppose -w*y = 2 + 2, v - 9 = -2*y. What is the remainder when n is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 922*o = 900*o + 66. Solve 0 = -d - 5*g + 25, 3*d - o*g = -2*g + 11 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-95)\/15*-3*(-178)\/(-1691). Solve 0*i**g - 24\/7*i**3 + 216\/7*i - 4\/7*i**4 + 324\/7 = 0 for i.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170290405.\nAnswer: 5, 1693, 20117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1440 - -3313. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - 27. Let i be s + -3 - (-6)\/((-30)\/(-35)). Suppose i*c + r - 2933 = 0, 5*c - 5*r = 333 + 2612. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*p - 10 = 0, 2*m + 4*p - 18 + 2 = 0. What is the common denominator of (1 - 54)\/(5 + -25) and (-5)\/(-12) + m\/(-4)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1105133132 - -4?\nAnswer: 1105133140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122078, 122076, 122074, 122072?\nAnswer: 122070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + u - 9 = 3*p, 5*u = 4*p - 27. Let o = 8364 + -8349. What is the remainder when o is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 7) to base 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -2. Is 20 a factor of 80\/h*(0 + -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**(2\/27))**(-6\/19) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 177299, -2\/9, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w + 13. Let g be j(-6). Suppose -l - 3 = -2*z, -3 = -3*z + 3. What is the greatest common divisor of g and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (7 - 9 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i - 5. Suppose 5*o - 25 = -0*o. Let a be b(o). Suppose 0 = -y + 2*w - a*w + 69, 0 = -2*y - 3*w + 173. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1209 divided by 5?\nAnswer: -1209\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143891843?\nAnswer: 8293, 17351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 17 = -7. Let t = 13 + h. Suppose -2*d - 20 = -t*d. Solve d*u + 4*n + 22 = -6, 5*u = 3*n + 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 7*t + 4. Let n(f) = -f - 1. Let x(s) = a(s) + 6*n(s). Let c(u) = -3*u + 6. What is -6*c(j) - 17*x(j)?\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/345479328 and 11\/80?\nAnswer: 1727396640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*z + 3*o = -28*z + 20, -5*o + 37 = 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16729650*23\nAnswer: 384781950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*n - 0*n. Let c = 608 - 550. Calculate the remainder when c is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116525055?\nAnswer: 3, 5, 17, 43, 10627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 26. What is the third derivative of -24*s**5 + 3*s**2 + 9*s**2 + 25*s**2 - m*s**5 wrt s?\nAnswer: -1740*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 5*p**2\/3 - 51380*p - 616640\/3 = 0.\nAnswer: -4, 30832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2. Suppose -f + 130 - 124 = 0. Let y(m) = f*m**2 - 2*m**2 + 5*m**2. Determine y(r(i)).\nAnswer: 81*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 64 = -2*s, -5*a = 4*s - 7*a - 112. What is the highest common divisor of s and 570?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2907 = -15*f. Is f a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 44 = 5*t, 3*t + t - m + 42 = 0. Let c be 34\/(-6)*(4 + -1). Let h = t - c. What is the lowest common multiple of h and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrbpprrbrpbxerrpeu. What is prob of sequence eueb?\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 4 - 1)*(4 - 4 + 2*y) + (1 + 2 - 1)*(1 + y - 1) - y + y - y in the form w*y + g and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11280?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 52*k**5\/7 - 6450*k**4\/7 - 145820*k**3\/7 + 689730*k**2\/7 - 26312*k\/7 = 0?\nAnswer: -23, 0, 1\/26, 4, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 0.05, -3\/5.\nAnswer: -5, -3\/5, 0.05, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/3615*(3360\/63)\/(-32). Is b greater than or equal to -0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n - 9. Let r be a(-6). Suppose -r*p = -6 - 6. Suppose -55 = l - 6*l. What is the least common multiple of l and p?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6238693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*h + 7*h + 557 = 0, 4*s = -3*h + 549. Let y = s - 242. Let m = y + 103. Is 1\/37 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 16421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7781*z - 8*z**2 - 7781*z.\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - -163. List the prime factors of j.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-4))\/((-1)\/(-6)). Let r = -3 + v. Suppose h - a + 1 = r, -4*h - a - 8 = -4*a. What is the biggest value in 3, -2\/7, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - -5.1. Let j = g - 5.06. Let x = 0.06 + j. Which is the third smallest value? (a) 2 (b) -2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-36)\/(-2)*1\/3. Let r = a + -6. Solve -5\/4*h**3 + r*h - 1\/2*h**2 - 3\/4*h**4 + 0 = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x**2 - 7. Let i(s) = 5*s**2 + s + 6. Let z(h) = -h + 8. Let f be z(11). Let w(u) = f*q(u) - 4*i(u). Determine w(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51ca (base 14) in base 8?\nAnswer: -33416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 8*l + 2. Let o be 638\/110 + (-12)\/(-10). Let d(b) = -7*b - 4. Let t(h) = 28*h + 17. Let q(c) = 9*d(c) + 2*t(c). Calculate o*q(s) + 6*y(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/7)\/(6\/63*6). Sort 4, 4\/3, a, 0.1 in descending order.\nAnswer: 4, a, 4\/3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -713.99809828 - -714.1641. Let k = -0.166 + w. Round k to seven decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -255 + 144. Which is the nearest to -0.1? (a) 4 (b) o (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 0. Let j be -3*s\/(-3) + 0. Suppose -25 = 5*u, -5*b + j*b = 5*u + 10. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 7:20 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2 = 13. Suppose -i + 3 = -0. Solve -p + 2*x + 1 = 0, 0*p = 2*p - i*x - d for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3738388595 and 3.\nAnswer: 3738388598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 223, 450, 685, 934, 1203, 1498, 1825?\nAnswer: 2190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 1152720.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.21 + 0.11. Let r = 17\/4 - 145\/36. Which is the closest to -1? (a) -2 (b) r (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -13, 1\/6.\nAnswer: -18, -13, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**6*j**(-8) assuming j is positive.\nAnswer: j**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -721*v + 2134. Determine o(3).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -22. Suppose -j*y + 20 = -y. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d. Let q be (-1*4\/(-4))\/((-3)\/135). Let g be 150\/q*(-6)\/5. Determine a(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19.7639 - -0.3259. Round d to 1 decimal place.\nAnswer: -19.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-25549)\/1419 - 1008\/(-56). Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1129650489?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j**2 - 1 + 1)*(-2 + 1 + 3)*(-2*j + 4*j + j) - 4*j**3 + 2*j**3 + 0*j**3 as z + p*j**2 + y*j + d*j**3 and give d.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 0*a**5 + 0*a**4 + 0*a + 0*a**6 - 3*a**3 + 0 - 29\/210*a**7 + 20*a**2. Differentiate j(f) wrt f.\nAnswer: -116*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 + 450790*u + 1803144.\nAnswer: (u + 4)*(u + 450786)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*a = 1138, 5*d + 6*a + 1443 = 2*a. Let m = d + 419. Suppose -4*z + m = x, 2*x - 22 = -z - x. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y**2 - 52*y + 3. Let z be q(13). Suppose -z*w + 4*b = -3635, -2*w + 0*b = b - 2405. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003725 to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7529813 and -10.\nAnswer: 75298130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + -3 - -2) + 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 2\/2776489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -10, -3*t - 2074 = -9*b - 2161 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 219974, 439928, 659882?\n\"Answer: 219954*w + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from deeeydedddwydyeed. What is prob of sequence eyew?\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and -0.83461?\nAnswer: 0.584227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3615?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*((-42)\/9 - 2). Suppose x*q + 70 - 230 = 0. Solve -5*t + t = -q for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 greater than -3902.89?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 14 - 21. Suppose v*k - 112 = -k. Suppose 0 = -k*l + 179 - 39. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n. Suppose 3*z + 4*y - 7 = 0, 3*y - 13 = -z - y. What is the units digit of u(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 8 = -8. Suppose -u = -7*x - 15. Suppose 5*n - 4*n + 3 = 0. Sort x, 1, n in decreasing order.\nAnswer: 1, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15.379*4\nAnswer: -61.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 3*q - 7. Give n(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + (-1296)\/256)\/(13 + 74\/(-4)).\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q**3 + 101*q**2 + 24*q + 6. What are the prime factors of c(-33)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 191\/7. Let n = -2424 + 2424.4. What is the closest to 1 in -2\/23, n, g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/324 and 55\/9.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1166b24 (base 13) to base 3\nAnswer: 101010120012101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445489 is divided by 162.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a tonne in kilograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58889\/11 less than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 104 + -101. Suppose 2*u - 2*a = 144, f*u - 120 = -5*a + 96. Is 36 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 9863*g**2 + 246*g. Let a(f) = f. Calculate a(n(b)).\nAnswer: 9863*b**2 + 246*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14791 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 0*t - 5*t)*(-2*t**2 + t**2 - t**2) + (t + 3*t**2 - t)*(-3 - 4*t + 5 - 1) + 2*t**3 - 6*t**3 + 2*t**3.\nAnswer: -10*t**3 + 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -287 and -1.5?\nAnswer: 430.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3057542 is divided by 523.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, y: 7, h: 3}. What is prob of picking 1 h and 1 x?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/78 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002417451 rounded to six dps?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7 - -7 - (-2 + -10 + 23)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1922 and 2480.\nAnswer: 76880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/20)\/((((-7)\/35)\/1)\/5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6309508ml in litres?\nAnswer: 0.0006309508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*g - 13*g - 13*g - 150 - 17*g.\nAnswer: -g - 150","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 4, -3\/5, -106, 0.3 in decreasing order.\nAnswer: 9, 4, 0.3, -3\/5, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2307865, 2307874, 2307883, 2307892, 2307901, 2307910?\n\"Answer: 9*p + 2307856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12001111 (base 3) to base 16\nAnswer: e65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*a - 8 = -39*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.711464 minutes in nanoseconds?\nAnswer: 162687840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zsf when three letters picked without replacement from {f: 2, z: 1, s: 1, v: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 2*j - 3. Let z be c(2). Suppose -u - 4*r + z*r = -7, r + 3 = 0. Does 4 divide 3 + u\/(-2) + 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7504*u + 3524*u - 2964*u + (1 - 1 - u)*(-3 + 0 - 1) to the form k + f*u and give f.\nAnswer: 8068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*(35\/(-28) - (-1)\/(-4)). Is 22 a factor of (110\/15)\/((-1)\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - (-735)\/(-84))\/((-4)\/(-16))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -16, -3, -1\/2, 0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 962*l - 965*l - c - c, 4*l = -50*c + 112 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63 - -88. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 2*q + 29. Calculate d(9).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 7956.749552 to the nearest 100.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + 0 + (-12)\/3. Put -3, 1, s, -1 in decreasing order.\nAnswer: 1, -1, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1318, 1190, 972, 664?\n\"Answer: -45*x**2 + 7*x + 1356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 21, -5, 115, -2 in ascending order.\nAnswer: -5, -3, -2, 0, 21, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxgxqxxix. What is prob of sequence iq?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 2:17 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x - 40. Give l(16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440 is divided by 185.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9805544 plus 383679?\nAnswer: -9421865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 31*l - 31*l - 5*l**2 - 1. Let i(n) = 2*n**3 - 2*n - 1. Let w = -8 - -7. Let b be i(w). What is d(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 6)*(-2*t - 9*t**2 + 9*t**2 - 7*t**5).\nAnswer: 35*t**5 + 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 935, 1637, 3555, 7301, 13487, 22725, 35627, 52805?\n\"Answer: 102*j**3 - 4*j**2 + 837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 6174.38 and 264.\nAnswer: 6438.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**5\/140 + 19*l**4\/14 + 722*l**3\/7 - 87*l**2 - l. Factor k(r).\nAnswer: 3*(r + 38)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a*a**(-1\/3)\/a))\/a)**(1\/18)*((a*a**(2\/7))\/a)\/a**(-2\/59) assuming a is positive.\nAnswer: a**(3151\/11151)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 575727 and 1161.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - j - 2. Let i be t(0). Let y be 11\/i + 3\/2. Let l be (-1)\/(y + 76\/20). Solve 1 = 2*v - l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 44 = 2*p. Let v = 15 + p. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 483 and 1159890?\nAnswer: 8119230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.7 (b) -2 (c) -0.014 (d) -10.7 (e) 0.1 (f) -2\/5 (g) -2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1222 - -1963. What is the remainder when j is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -130 - -134. Let r = 0 + -1. Which is the closest to 1? (a) q (b) r (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 5*a - 12. Calculate the highest common divisor of a and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 9*i**2 - 6*i + 16. Let t be y(-8). Solve 0 = 5*v - 3*z + 11, -5*z = 5*v - t*v - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2 - 10*u - 45. Let r be g(6). Let o = 5.5 - 5. Which is the biggest value? (a) r (b) o (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 + -0.46. Let f = 0.789 + t. Round f to two dps.\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 3*h**2 - 11*h - 41. What is r(-3)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 192810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/852540 and 103\/2046096?\nAnswer: 10230480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 7 = h. Let n be (5\/50)\/(h\/5). Which is the biggest value? (a) n (b) -1\/3 (c) 1\/6 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 = -5*i - 7*b, -57*i + 110*i + 2 = 47*i + 2*b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - l**2 - l - 1. Let h(c) = -18*c**3 + 13*c**2 - 11*c - 7. Let d(b) = 5*h(b) - 35*r(b). Factor d(u).\nAnswer: -5*u*(5*u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 73, -1, 7\/4, -12\/161 in ascending order.\nAnswer: -1, -12\/161, 7\/4, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 y when two letters picked without replacement from zrcyzzczypzzzcgpz.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + b + 5 = 0. Let u be (-123)\/(-11) - (30\/(-33))\/(-5). Solve -u = 4*t + b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 9.4?\nAnswer: -2.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.15992 centimeters in kilometers?\nAnswer: 0.0006315992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 121604 and 602?\nAnswer: 121604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 4 - 8 = 4*q, 2*q - 10 = 0. Is 18 a factor of 3\/((-4)\/(-36)*(-6)\/a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69239.1 micrometers in centimeters?\nAnswer: 6.92391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 5*f**2 + f + 5. Let d be v(5). What is the highest common factor of 4 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11882 + -5?\nAnswer: -11887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -113335238*q**2 - 59950122*q.\nAnswer: -226670476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4252607380.\nAnswer: 2, 5, 7, 30375767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + -309*(-485)\/15 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from whhvd. What is prob of picking 1 w, 1 h, and 1 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 5*j**2 + 24*j - 118. Calculate o(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*a**2 + 82 + 12*a**2 - 2*a + 4*a**2 - 87 in the form x + y*a**2 + u*a and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000526705 to seven dps.\nAnswer: 0.0000527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -15055, -15292, -15529, -15766, -16003?\n\"Answer: -237*c - 14818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 1049254 and 0.11112184.\nAnswer: 1049254.11112184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -34. Let o(r) = -4*r**3 - 5*r**2 - 14*r - 20. Is o(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(7) - sqrt(70)\/sqrt(10)) + (sqrt(2800) - sqrt(28)))*4 + 2.\nAnswer: 18 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*y + 1 - 61 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/2*53 + (-1)\/2. Let r = -2506 + 3554. Suppose r = -22*w + o*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005665 rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 117 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmlmmmmmmmmmml. Give prob of sequence mml.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-11 - -21) - -10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -529274*m**2 + 194463*m wrt m.\nAnswer: -1058548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 688380817 + -3\nAnswer: 688380814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millennium in years?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84124?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, d: 1, z: 6, y: 11, a: 1}. Give prob of picking 2 z, 1 y, and 1 a.\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58937291 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-9)\/(-6))\/(-6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2416 (base 7) in base 10?\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-144)*6*-12\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = 3*n - 4*o, -5*n + n + 180 = -4*o. Suppose 4*w - 5*k + 10 = n, 20 = 2*w - 4*k. Suppose 2*b = b + w. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vyv when three letters picked without replacement from {v: 2, s: 2, y: 1, e: 2, a: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -23677, -24531, -25389, -26251, -27117, -27987, -28861?\n\"Answer: -2*s**2 - 848*s - 22827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -543, -4 in descending order.\nAnswer: -4, -11, -543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*m**3 + 25 - 17 - 9 - 6*m**2 to x*m**2 + t*m + a*m**3 + g and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 + -14. Let i be o\/(-65) - (-6)\/(-35). Which is the nearest to -0.1? (a) -2\/3 (b) i (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.919 - -1.919133. Round q to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-106)\/(-159))\/(((-4)\/(-6))\/2). Suppose -l - 2 = -3*y - y, -5*l - v*y - 10 = 0. Let k(d) = -2*d - 3 - 2*d**3 + 4 + d**3 - 2*d**2. Calculate k(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101100101110110 (base 2) to base 9.\nAnswer: -144274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4 - 5*o**2 + o + 7*o**2 - o**3 + o**2. Let x be k(2). What is the derivative of -z**x + 3 + 4*z**2 + 3*z**2 wrt z?\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/59298180 and -151\/36.\nAnswer: 177894540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-5)\/(-4) - 27\/(-4).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -58\/15 and -11\/520.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/(-30))\/((-4)\/306) and (25\/(-40))\/(6\/88).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22.1 * -3\nAnswer: 66.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h. Let n(w) = 1595*w + 25. Let j(x) = 10368*x + 160. Let d(c) = 5*j(c) - 32*n(c). Calculate d(i(k)).\nAnswer: 800*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3408?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 + 347 = 2*l. Let o be (-7072)\/51 + (2 - 3). Let z = o + l. Which is the second biggest value? (a) 4\/7 (b) z (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 92 + 30bb3?\nAnswer: 31085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 1. Let b(q) = f + 4 - q**2 - 3 + 2*q. Let a(v) = -9 + 2*v - 6*v + 4*v**2 - 5*v. Give 2*a(d) + 9*b(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004633 to four dps.\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 103426471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o**2 + 2*o + 1. Let w be s(2). Suppose -3*q = 2*d - 24, -5*d + q + w = -35. What is the second derivative of 27 + d*l - 27 - 14*l**3 wrt l?\nAnswer: -84*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 59) + (-1919 - -1887)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36 + -55262?\nAnswer: -55224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.2, 2\/13, 5 in ascending order.\nAnswer: -2, 2\/13, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/56618635 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8148?\nAnswer: 2, 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -60492442 minus 5?\nAnswer: -60492447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/((-322)\/(-8))*1*1\/(-2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26.23 + 26. Is 1 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(539) + -1) - (-4*(sqrt(539) + 2) - sqrt(539)) - (-1 + ((sqrt(198) + sqrt(198)*-1)\/sqrt(9))\/sqrt(2)))**2.\nAnswer: 462*sqrt(11) + 65228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 6 - 4)*(-9*m**4 - 6*m**4 + 5*m**4) + 0*m**4 - 3*m**4 + m**4.\nAnswer: -52*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -9*b. Let n(u) = -3*u - 4. Let m(l) = 5*l + 7. Let v(y) = 4*m(y) + 7*n(y). Give v(a(d)).\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((154\/(-35))\/(-11))\/((-10)\/100).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 117\/4 - 29. Which is the closest to k? (a) -3 (b) -2 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -44738*g - 1834239. Calculate v(-41).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8880 and 666.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p**2 + 260*p - 1615. What is w(72)?\nAnswer: -3631","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1321*-60.84\nAnswer: 8.036964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/8*-2 + 30\/2. Let z be (-7)\/(3\/3)*21\/(-3). Calculate the greatest common factor of g and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15803\/3 + -5267. Which is bigger: n or -0.0698?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69476.78 years to millennia.\nAnswer: 69.47678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 161 = -q - 4*x, q - 79 = 7*x. What is the remainder when 162\/4 + (-2)\/(-4) is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/5)\/f**4)\/(f**(1\/2)*f\/((f\/((f**2*f)\/f*f)*f)\/f*f)) assuming f is positive.\nAnswer: f**(-71\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43460\/9 + -4823. Find the common denominator of r and -41\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 197 = -3*x - 191, 0 = -5*x - 5*u + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**4\/3 - 1516216*s**3 + 862091609496*s**2 = 0. Calculate s.\nAnswer: 0, 1137162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 56 - 16. Suppose -a - d + 0 = 0. Let r(y) = -y**2 - 2*y - 1. Let t be r(-4). Which is greater: t or a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132440560631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 11*o**2 - 24*o - 34. Give v(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.642 micrometers in kilometers?\nAnswer: 0.000000065642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2347*g + o = 2343*g + 2, 153*g - 2*o = 640 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 819 * -0.05.\nAnswer: -40.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -111*o - 47. What is the units digit of u(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 5*s**2 - 2*s - 4. Suppose -5*z - 5*u = -z - 167, -2*z = u - 79. Suppose -2*j - 70 = -4*p + z, j - 5*p = -39. Let n = -69 - j. Calculate d(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and (-1 - 0)*-3 + 2.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g + 282 = -236. Suppose 2*s + 50 = 2*o, -2*o = 5*s + 3*o + 135. Calculate the remainder when g is divided by (16\/4 + s)*-1.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + x + 4. Let h be (-3)\/(-12) + (-26)\/8. What are the prime factors of s(h)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2, -0.4, -2\/9, 0.049, -15?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1401 + 1476. Solve -6*g - 105 = -k for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 510 and 100863?\nAnswer: 17146710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 185+203.331142242\nAnswer: 388.331142242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -93 - -143. Let a be x\/(-8) - (-5)\/20. Is (a - -4) + (331 - -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 217 - 115. Is ((-35)\/(-21))\/(2\/z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 28 = -338. What are the prime factors of m?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 12, 3*h - 15 = 3*w - 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1123, 1127, 1131, 1135?\nAnswer: 1139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*v**2 - 7*v**2 + 30*v**2.\nAnswer: 38*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h - 3787 - 5*h - 3*h + 9287 - h.\nAnswer: 2*h + 5500","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - (-7 - -17 - 3) - (-6 + 3).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 75 + 10. Suppose 0 = y - x + 6. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2217819)\/540 - (-2)\/9. Let q = f - -4108. Let y = -2941 - -35401\/12. What is the common denominator of y and q?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1167 + 2271. Suppose 3*k - 84 = y. Calculate the greatest common divisor of k and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*c = -3, -5*k = -k + 5*c - 14. Let n(l) be the first derivative of 5\/3*l**3 + 0*l**2 + 0*l - k. Let r(a) = -2*a**2. Determine r(n(i)).\nAnswer: -50*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 25*i**2 - 5 + 27*i**2 - 28 to the form r*i + j*i**2 + p and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a322a + 19?\nAnswer: -a3211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -18588533 to the nearest one hundred thousand.\nAnswer: -18600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 9*f**2 + 10*f + 22. Let r be g(-8). Suppose 522 - r = w. What is the greatest common divisor of 64 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -25. Solve z - 5*p = i, 4*p + 27 = 5*z - 0*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-5)\/(-5)*5\/(390\/(-1378))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 1\/3*o**2 + 1\/3*o**3 + 0 + 0*o = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -249*w + 5. Let b be (-2)\/9 + 744\/(-54). Let i be s(b). Let f(c) = -3*c**2 - 3491*c + i*c. Let x(h) = -4*h. Determine x(f(a)).\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 776774189*a**2 - 992973*a - 74 wrt a?\nAnswer: 1553548378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100100110 (base 2) to base 4.\nAnswer: -10212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17.6 or 95.21?\nAnswer: -17.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - a + 57754, 5*a - 13681 = -d + 44085. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65568 divided by 16392?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 129.049 - 129. Let n = 1.951 + q. Which is the third biggest value? (a) n (b) 3\/7 (c) -2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5253 by -309.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (129580\/1395)\/209 + (-1605)\/27.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -422 by 3826.\nAnswer: -211\/1913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -438 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -4*s - 3. Give d(-10).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27\/(42444\/30)*(-32)\/(-100)*5)\/2.\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1614656 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -72, -114, -192, -318, -504, -762, -1104?\nAnswer: -1542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -159 - -163. Solve -24 = -5*q - 4*y, -5*y + y = -2*q + s for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.28 + 14.72. Let r = 14.96 - v. Let a = r + 4.04. Put a, 0.1, -1\/8 in decreasing order.\nAnswer: a, 0.1, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.067 - 0.433. Let r = -90 + 6. Let q = 83 + r. Which is the closest to 30? (a) 1\/5 (b) l (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 2*m - 16 = -q, 5*m - 43 = -3*q. Suppose 0*p - q = -2*p. Which is the second biggest value? (a) p (b) -1\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4 = 5*a, -2*u + u = 4*a - 8. Calculate the common denominator of (-40)\/6*u\/(-30) and 2\/20*86*1.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l - 5 + 4*l + 2*l - 14*l. Let o be c(-2). What is the highest common divisor of 145 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 15*q - 4. Let a(s) = s**2 - 30*s + 8. Give 3*a(r) + 5*k(r).\nAnswer: -2*r**2 - 15*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 495, -51, 5, -2, -1.\nAnswer: -51, -2, -1, 5, 495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + j + 189 = 218, -13 = -5*q + 3*j. Suppose 2 + 1 = 3*u. Solve t = 3*h + 7, -q*t - 3*h = -18 + u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 9*c + 7*c = -11904, -2*c - 6 = 0. Suppose 1784 = 3*s - n, -22*s = -26*s + 3*n + q. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -487224106 and -3.288.\nAnswer: -487224109.288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 2625.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**5 + 2*b**5 + 2*b**5 + (-b + 0*b + 0*b)*(-2*b**3 + 2*b**3 - 2*b**4) + (0*b + 2*b**2 + 0*b)*(3*b**3 + 0*b**3 + 3*b**3).\nAnswer: 19*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**2\/2 + 2*k + 3\/2 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 12*b + 20 + 10*b to the form m + r*b and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j - 7. Let h(z) = z - 2. Let o be ((-1)\/3)\/((3\/(-153))\/(-1)). Let p = o - -13. Calculate p*a(g) + 14*h(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 21 from -65188.\nAnswer: -65209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -97.59 and -8093.\nAnswer: 789795.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-1*6)\/(1*sqrt(9)*5) + -4*(sqrt(156)\/(sqrt(12)*-2) + 5).\nAnswer: -20 + 4*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 2*t - 1. Let g be j(-2). Let a be g\/(7\/(-2) - -3). Suppose -4*m + a*m + 30 = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.0675 rounded to one decimal place?\nAnswer: 38.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 8*q + 244. Let f be s(-12). Solve -f + 28 = -6*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.55*-0.193\nAnswer: 0.10615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m. Let f(w) = -515*w. Determine f(o(g)).\nAnswer: -515*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 10) to base 4\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 46596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 2*s + 1. Let a be g(2). Let p(h) = -h - 8. Give p(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*s - 13*s - 4*l + 10, 2*s - 15 = -l. Solve w = u, 3*w - s - 27 = -5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 148044 and 6084.\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 976.5 from 2120.\nAnswer: 1143.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 386*x**3 - x**2 - 2*x - 1. Let m be c(-1). Let u be m\/(-8) - 7\/28. What is the greatest common factor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 5*f + 7. Let u = -150 + -440.8. Let c = u - -591. Sort 4, c, 1, f in increasing order.\nAnswer: f, c, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*s + 4*s - 6*s)*(-2*s + 2*s + s) - 6*s**2 + 5*s - 5*s + s**2 - 10*s**2 + 4*s**2)*(-4*s + 5*s + 0*s) in the form p*s**3 + t*s**2 + r*s + o and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 6 = -2*o, -3*t - o + 22 = 5. Let h(v) = 16*v**2 - 11*v. Let b(r) = r - 3*r**2 + r + 20 - 20. Give t*h(m) + 22*b(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4 - -11 - (1 - (-37 - -5)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59*14*160\/112?\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 m, and 1 u when four letters picked without replacement from wmumwwmmmmummmmwwmm.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 25508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*s - 1584 + 456 = -53*s for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11488 + 11483. What is the nearest to 7\/3 in -3\/2, -1\/3, q, -1.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 6*g + g + g + 5*g.\nAnswer: g - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -9. Let n = x - 7. Let c = n + 3. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 64*l + 82. Let t be f(-1). Let r = 1 + 2. Find the third derivative of n**2 + t*n**3 + r*n**2 - 5*n**3 - 5*n**3 wrt n.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -0.31\nAnswer: 0.031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 837 - 957 = c - 7*c for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 156418 and 189120?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108518215?\nAnswer: 5, 13, 19, 87869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/114095415 and 43\/34?\nAnswer: 228190830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 247 + 7*l - 118 - 117. Give p(-11).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/833, 1, -0.1117 in ascending order.\nAnswer: -0.1117, 2\/833, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 106194 and 22.\nAnswer: 106194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/3 - (-4)\/6. Suppose -16 = -v*w - 4*w. Let d**4 + 0*d**w + d**3 - d + 0*d - d**2 = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 8*t**2 - 9*t + 5. Let m(u) = -u**3 + 4*u**2 + 7*u - 6. Let l be m(5). Suppose x + 5 = -l. What is the units digit of n(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 786576541 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 1069 - 3121. Suppose 5*l + 1839 = b. Calculate the common denominator of 29\/22 and 14\/(-8)*6\/l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 51 = -5*m, 2*q + 56*m - 30 = 52*m for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 524, 1, -13 in increasing order.\nAnswer: -13, 1, 5, 524","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 5*c + 140 = -q, -c - 3*q = -12. Let p = -35712 + 35787. Calculate the remainder when p is divided by c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**2 - 13*k - 4. Let s(x) be the third derivative of x**5\/60 + x**4\/4 + x**3\/3 + 6*x**2. Give -9*s(b) - 4*v(b).\nAnswer: 3*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2. Let n(y) be the second derivative of y**3\/3 + 11*y. Give v(n(d)).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*s + 5, 4*g + 0*s = 5*s + 20. Suppose f + 1 = 2*a + g, -5*a = -20. Suppose -q + 2*q - f = 0. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {m: 5, r: 3, k: 4}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6877692 to the nearest integer?\nAnswer: 2623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q - 5. Suppose 2*a - 6*a + 60 = 0. Suppose 2*d = a - 5. What are the prime factors of w(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 12. Let x be (-6)\/(-4) + 770\/20. What is the greatest common divisor of x and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times -7362068?\nAnswer: -66258612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 308.25 to the nearest integer.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17587530\/567*14\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-7)\/s*s)\/s**(2\/25)*s**(-8\/5)*s\/(s\/(s\/(s*(s\/s**(-2\/17))\/s)))*((s**(1\/3))**(3\/11))**(2\/5) assuming s is positive.\nAnswer: s**(-36284\/4675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 1243463900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2163941?\nAnswer: 13, 166457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 23. Let a(t) = -9*t + 2. Let q(z) = 14*z - 3. Calculate w*q(p) + 8*a(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/sqrt(396))**2.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 139959849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*i**3 - 269*i**3 - i + 2*i.\nAnswer: -295*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-9) + (-55)\/(-6)*-2. Let y = 0 - v. Solve 4*f = -4*z + 17 - 5, 4*z = 2*f - y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -15*u**2 + 327470*u - 109155 = 0?\nAnswer: 1\/3, 21831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3854897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 17. Let a = 1 + v. Let h = -0.01 + -0.99. What is the closest to h in a, -3\/7, 2\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, -163746, -3 in decreasing order.\nAnswer: 7, 1, -3, -163746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58\/(-10))\/1 + (-1230)\/(-205).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3027, -5304, -7581, -9858, -12135, -14412?\n\"Answer: -2277*y - 750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17078083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 28*f**3 + 3*f**2 + 62*f - 3. Let u(b) = b**3 - b**2 - b + 1. Let w(q) = -r(q) - 6*u(q). Find the second derivative of w(a) wrt a.\nAnswer: -204*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 50.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -625.61 - -25.39?\nAnswer: -600.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*6*(sqrt(114) + -1*sqrt(114))*3)\/((sqrt(486) - (-1*sqrt(486) - sqrt(486)))*3 + 5*-1*sqrt(486) + sqrt(486) + sqrt(486)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1101011 (base 2) to base 6\nAnswer: -255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9222268067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (100\/(-75))\/(8\/(-60)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d + 16 = -4*c - 44, -5*c - 55 - 60 + 40 = -9*d for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 65539579 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219, -424, -627, -828, -1027?\nAnswer: -1224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 5*r**2 + 5*r - 6. Let f be c(4). Is f less than or equal to -6\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + q = -13, 10*j = 6*j + q + 16. List the prime factors of 608\/j + (-34)\/51.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -658\/317?\nAnswer: -658\/317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3944*n**3 - 19*n**2 - 27*n + 19. Is 80 a factor of s(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 34 - fcb?\nAnswer: -f97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fz when two letters picked without replacement from zgggggmmmmmfgg?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -49 - -48. Which is smaller: 0.25 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47606 is divided by 1013.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4640954 meters in micrometers?\nAnswer: 464095.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.33, -2\/3, 3\/93836 in increasing order.\nAnswer: -2\/3, -0.33, 3\/93836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 5*a + 4 - 2*a - 8*a - 4*a to z + c*a and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 8*c**2 + 7*c - 60. Determine z(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lvpnrss. Give prob of sequence sspv.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -185381 divided by -728?\nAnswer: 26483\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*j + 47*j = -120 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*x + 85 = -90*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8116.687 nanograms in kilograms?\nAnswer: 0.000000008116687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**7*t**(-3))\/((t**(1\/3)\/t)\/t)**(-1\/75) assuming t is positive.\nAnswer: t**(179\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d + 3. Let h(r) = -8*r**2 - 76*r + 60. Let q(z) = -2*h(z) + 38*u(z). Let x(m) = -40*m. Calculate q(x(o)).\nAnswer: 25600*o**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2017875585.1+0.75\nAnswer: 2017875585.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 22\/15*p**6 + 19\/5*p**5 + 5\/21*p**7 + 13\/3*p**3 + 0 + 16\/3*p**4 + 2*p**2 - 15*p. Suppose u(a) = 0. What is a?\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21*60\/(-12600))\/((2\/(-1))\/56)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/73 + -65\/292. Let d = -2 + 1.8. Which is the biggest value? (a) v (b) d (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00027419244 to 5 dps.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6340 - -1?\nAnswer: -6338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 + 186. List the prime factors of f.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -0.16, -1\/6?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 267535?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 13*k**2 - 10*k - 16. Let r be z(12). Let x = r - 8. Solve x = 3*d - 0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 537971710*t**2 - 775206*t - 461.\nAnswer: 1075943420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3926 and 1547?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 119198, 119152, 119106, 119060, 119014?\n\"Answer: -46*z + 119244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26418 and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21\/11 + 293\/165. Put 1, 0.3, d in increasing order.\nAnswer: d, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 570 = 3*t. Find the common denominator of 13\/9 and 1577\/t - (0 - -2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 45130 and -231.7?\nAnswer: -10456621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33*q**2 + 3*q + 548 wrt q?\nAnswer: 66*q + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1494.704 - 18.396. What is w rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 7*r**2. Let u(g) be the third derivative of g**5\/60 - 25*g**2. Determine u(o(l)).\nAnswer: 49*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88*n + 9*n - 11*n)*(1 - 3 + 0).\nAnswer: 180*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1055688429?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 164479 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -201745*c + 201739*c = 476 - 110 for c.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120, 232, 342, 450, 556, 660?\nAnswer: 762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 13*c**5\/5 - 7*c**2\/2 - 12. Find the second derivative of m(n) wrt n.\nAnswer: 156*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o + 1. Let u(q) = -q**2. Determine r(u(j)).\nAnswer: -2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 + 26*u - 58. Let w be l(-15). Solve -y = -i + 2, -3*i = -3*y + w*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -219*f + 243*f. Suppose -15 = -5*y, -3 = -2*h + 2*y - y. Factor f - 1\/6*c**4 + 1\/6*c**2 + 1\/6*c**h - 1\/6*c.\nAnswer: -c*(c - 1)**2*(c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-6)*(-168)\/16. Suppose -3*h - 31 = -4*z - 12, -z = 4*h + 19. Let y = h + k. Solve -4*m - 3*n = -2*m, -y*m - 8 = -n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 167396507?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186 - 4*n**2 + 222 - 761 + 192 + 161.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 148\/6 + 2\/6. Suppose q = -m + 6*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -792 + 1104. What is the highest common factor of d and 390?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 8 - 220. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + (-10 + 10 - -1008) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 5:13 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hkkwkwjhkjhkwhhywj. Give prob of picking 2 w and 2 j.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 7*i + 2*i - 9 = 0, -8 = -3*w + 4*i for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61224543?\nAnswer: 3, 6802727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 93 (b) -3\/8821 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 7*u**2 - 7*u + 8. Suppose -5*g + 8 = -g. Let s be f(g). Is s equal to 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*f - 3. Let h(x) = 0*x + 7*x + 6 - 3*x. Let b(w) = 4*w + 7. Let q(s) = f*b(s) + 3*h(s). Find the first derivative of q(a) wrt a.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -257 and 0.1?\nAnswer: -25.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jwjjwjj. What is prob of picking 4 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45*b**2*m**3 + 134*b**2*m**2 + b*m**3 wrt m?\nAnswer: 270*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2822*s**2*u**2*v + 3*s**2*u**2 - s**2*u - s*u**3 + 2*u**3*v - 3058*u**3 + 2*v wrt v.\nAnswer: 2822*s**2*u**2 + 2*u**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 386 + -4625\/12. Find the common denominator of 95\/6 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32404 - 0?\nAnswer: 32404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22982032 is divided by 7660677.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/1940 and 39\/970?\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 511388 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (651\/(-49) + 15)\/((-1)\/(-56)). What is the greatest common factor of p and 336?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3927*-5\nAnswer: -19635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 73 + -70. Suppose -4*d + 90 = 6. What is the third derivative of -2*i - 28*i**4 - y*i**2 + d*i**4 + 2*i wrt i?\nAnswer: -168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 10*i**2. Let l(x) = -923*x**2. Give k(l(u)).\nAnswer: 8519290*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 14, -239, 1, 4 in descending order.\nAnswer: 14, 4, 1, -3, -239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 816826 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 241444 to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c\/(c*c**9))\/c)\/c**(1\/4))\/(c**(-2))**34 assuming c is positive.\nAnswer: c**(235\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**2\/17 - 196*n\/17 + 11760\/17 = 0.\nAnswer: -140, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3359.45 centuries?\nAnswer: 33594.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 3238045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -366.31 to the nearest ten.\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 3*x + 6*x)*(56 - 9*x - 56)*(3 - 3 - x).\nAnswer: 81*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13863 and 23904?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112509576 divided by 6.\nAnswer: 18751596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3416 divided by 123994\nAnswer: -1708\/61997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y + 2. Determine z(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0.1. Which is the nearest to -0.2? (a) 1\/7 (b) p (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + t + 2*t = -3, -5*a = 3*t + 19. Let n(l) be the first derivative of 2*l**3\/3 + 3*l**2\/2 + 1. Determine n(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -4, 2\/5, 1.4, 2\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21 and 1072346?\nAnswer: -22519266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7296747*b**3*y**2 + 709*b**3*y - 51*b**3 - 2*b**2*y - 12*y wrt y.\nAnswer: 14593494*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -32.\nAnswer: -5\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a day in minutes?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -5*h**2 + 3*h + 3. Let x(k) = 4*k**2 - 2*k - 2. Determine -4*i(r) - 6*x(r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 14*z = 16 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.32604755 to 2 decimal places.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/60 - (-19512)\/(-16260)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10, o: 3, u: 1, t: 2, k: 1}. Give prob of sequence mu.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/8))\/o**7 assuming o is positive.\nAnswer: o**(-47\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8060389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.8, 0, 1.45?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10871 and 6921721?\nAnswer: 1553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a**4 - 4*a**2 + 18*a + 10693 with respect to a.\nAnswer: 12*a**3 - 8*a + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p + p + 2*p)*((5 + 0 - 2)*(-4 + 3 - 1) + 24 + 24 - 15)*(4*p**2 - 4*p**2 - 2*p**2).\nAnswer: -378*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 2. Let v be d(-2). Let z be (2 - (0 - -3))*0. Suppose 4*r + 7 = t - z*r, 3*r = -t. Solve -5*q + 15 = y - v*y, 0 = -5*y - t*q - 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -182\/3 + 60. Let y = -0.09 - 0.11. What is the closest to 0.1 in y, -1, u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 6*b = 336. Let s = b - -422\/5. Let m = -0.9 + 11.9. What is the closest to m in -0.4, -1\/9, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -620719\nAnswer: 1\/620719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 2. Suppose -m + q - 1 = -8, t*m = -5*q - 17. Suppose -2*v = 4 - 12. Solve -3*z - 2*a - 21 = -5, -2*a + v = -m*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 220 = 52. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 8 + 16 = 0. Suppose 0 = i + y - 3, 6*i - i - 2*y - 1 = 0. Put a, i, 2 in decreasing order.\nAnswer: 2, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 14 = -2*h, -75*h + 4 = -78*h - 5*p. Solve -t - 3 = -c + h, 0 = 3*t - 5*c + 17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -4\/1751, 3\/4, 9?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 6. Suppose h = 1 + 1, -5*h = c*y - 20. Suppose -24 = -y*k + k. Calculate the smallest common multiple of 9 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) -1 (c) 1 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -20. Suppose t - m = 3. What is the lowest common multiple of 11 and t?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 8*i - 4. Let u be l(-5). Suppose 3*z - 2*z = 2. Solve 3*p = -z*a + u, 0 = -a + 2*a - 2*p - 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -4*f**2 + 146*f - 27. Let q be v(18). Is q equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 plus 195731136923?\nAnswer: 195731137167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -27. Let r be (10 - d)*(2 - -1). Suppose -r*z + 62 = -2*t, 4 = -4*t - 0. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3 = 19. Solve -w*m + 4 + 8 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.1, -187, 5, 44, -1\/2.\nAnswer: -187, -1\/2, -0.1, 2\/7, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 4*b + 20, 10*x - 9*x + 1 = -5*b. Suppose 2*f + 3*p - 11 = 2*p, -x*f - p + 21 = 0. Solve 4*l - 5*g = 41, -f*g = l + l + 17 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8630081 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(1 + 0*(-3)\/3). Find the first derivative of 15 + 12 - 9*w**b - 9*w**3 - 3*w**3 wrt w.\nAnswer: -63*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55892379?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 8. Suppose 0*i = 2*i + u. Are i and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.1, 12.1, -0.5, -12843 in decreasing order.\nAnswer: 12.1, 0.1, -0.5, -4, -12843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 3:52 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48.44354 + 2911.\nAnswer: 2959.44354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -191 - -4?\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7884 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-192)\/(-40))\/(75\/(-125)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2592 divided by 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 105337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345228?\nAnswer: 2, 3, 13, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 28 = -13*o + 15 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -2*z - h, -8*z + 11*z - 5*h - 87 = 0. Calculate the common denominator of ((-3696)\/(-576))\/(z\/(-3)) and -77\/18.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/712341 and -25\/2079.\nAnswer: 7835751","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -919712.\nAnswer: -459856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15*(-3)\/9 + (-27)\/6\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1260805?\nAnswer: 5, 7, 13, 17, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 0, 27, 80, 165, 288?\n\"Answer: y**3 + 7*y**2 - y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (10 - -1 - (3 + 21)) - 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9346, 18692, 28038, 37384, 46730, 56076?\n\"Answer: 9346*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 88 - 55. Let g = r - 34.35. Let w = -0.35 - g. Which is the nearest to w? (a) 0.3 (b) -4 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18138094, 18138096, 18138098, 18138100, 18138102, 18138104?\n\"Answer: 2*o + 18138092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*y**4 - 125*y**4 + 27*y**4 + (0*y**2 + 4*y**2 - y**2)*(2*y**2 - 4*y**2 + y**2) in the form u*y**3 + j*y + l + a*y**4 + w*y**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4181.\nAnswer: 37, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4 + 2. Let b(o) = o**2 - 3*o**2 + 1 + 2*o + o**v. What is the units digit of b(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.1, 176, 3 in descending order.\nAnswer: 176, 3, 0.3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d - 1. Let o(w) be the first derivative of 3*w**2\/2 + 5*w - 7. Calculate 5*h(v) + o(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - 16. Let p be i\/63 + 18\/14. Solve 4 = 4*m, 4*s = m + 2*m + p for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 0 - 1 + 7 - f + 3. Let j be d(0). Suppose -j = -2*t + 7. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 599439 is divided by 653.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1484 * 0.5.\nAnswer: 0.0742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -5*j**2 - 530*j - 14045 = 0.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3 + 5*p - 4*p + p - 1. What are the prime factors of d(7)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12.5 (b) -3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u + 5*u - u)*(1 + 1 + 12)*(2*u**2 - 2*u**2 - u**2) to i*u**3 + t*u + x*u**2 + n and give i.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/5 + (-30448)\/20. Let f be 1527 + ((-2)\/(-1))\/2. Let r = h + f. Which is smaller: -0.1 or r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.161 or 1.6?\nAnswer: -0.161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*q**2 - 28*q**2 + 21*q**2.\nAnswer: 56*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tas when three letters picked without replacement from {s: 1, a: 1, t: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2919\/2 + -1459. Let c(y) be the third derivative of 0*y + a*y**3 - 11*y**2 + 0 - 25\/48*y**4 - 3\/40*y**5. Determine j so that c(j) = 0.\nAnswer: -3, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 862 + -861.8. What is the nearest to -6 in -2, 4, r, -2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j - 32. Let z be b(-13). Is -4 + 240\/28 + z\/(-14) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/5 and -13\/110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 40*z - 10. Is 28 a factor of c(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j**2 + 3*j**2 + 7*j**2 - 4 - 2*j**2 to t*j**2 + v*j + h and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 219160270 rounded to the nearest one hundred thousand?\nAnswer: 219200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 10:12 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1176 + 1182. Solve -2*c + 7*c - 9 = a, a + t = 2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27\/56, 1, -12308.\nAnswer: -12308, 27\/56, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 143 - 148. What is the nearest to 0.1 in -0.3, w, 8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 955 = -0*x + 5*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 67\/4 of a gram?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*w + 17 + 253. Suppose j = w*j - 11046. Does 17 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**4 + 2*w**3 - 2*w**3 + (2*w**3 - 2*w - 3*w**3 + 0*w**3)*(-2*w + 4*w - w).\nAnswer: -3*w**4 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -9. Let y be 4*(8\/2 - r). Which is the third biggest value? (a) -1 (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 272?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 5:59 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -1. Let w(y) = -5*y + 2. Let u(p) = 3*t(p) + w(p). Let x be u(-3). What is the greatest common factor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/(-40) - (-84)\/114240*68?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101 + 111011100111010101111?\nAnswer: 111011100111011010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (-2 + -1 - 12). Let m = d - -8. Let g be m\/(-4*3\/6). Solve -2*r + 8 = -g*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f. Suppose 0 = -7*j - 19 + 75. Suppose 18 = j*v + 2. Let o(x) = -13*x + v*x + 5*x. Calculate o(n(i)).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 196*s**5 + 88*s wrt s?\nAnswer: 3920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 - (3 - 0)\/3. Suppose -1 = -3*k + 4*g, 0*k + l*k - 10 = 5*g. Suppose -v - k*v = -35440. Round v to the nearest 100.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(-1069 - 832 - 2488 + 5*q + 255).\nAnswer: -10*q + 8268","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 112.9 (c) 0.2 (d) 1\/4 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -8. Suppose p*b - 2513 = b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 8*z + 6*z)*(6*z - 4*z + z).\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 65587187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 9:52 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-1)\/1) - (-38)\/(-8)*(-432)\/(-540)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -0*r - r. Is 15099\/35 + (-2)\/r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**2\/9 - 148*z\/9 = 0.\nAnswer: 0, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -6815465*i + 6815439*i - 4 - 1 + i**2 + (0*i + 0*i + 2*i)*(1 + i - 1) as n*i**2 + d + x*i and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 910, 2019, 3870, 6463, 9798?\n\"Answer: 371*z**2 - 4*z + 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -86111, -172266, -258455, -344696, -431007, -517406, -603911?\n\"Answer: -3*d**3 + d**2 - 86137*d + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 507245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 3, -5, -4 in descending order.\nAnswer: 3, -4, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77747 is divided by 10303?\nAnswer: 5626","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 3601*g**2 - g. Let v(t) = 3*t + 124. Let f(n) = -28*n - 1178. Let y(z) = 4*f(z) + 38*v(z). Determine a(y(k)).\nAnswer: 14404*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**3 - 1. Let v(n) be the second derivative of -4*n + 0 + 0*n**2 + 1\/6*n**4 + 0*n**3. Determine v(y(w)).\nAnswer: 18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3533e1 (base 16) to base 11\nAnswer: 1a71668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*o = 3*o + 25, 4*u - 5*o + 88 = 0. Let r = 30 + u. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**5 + o**5 + 2*o**5 + (o**5 + 2*o**5 - 2*o**5)*(4 + 3 - 5).\nAnswer: 7*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 2*p - 60. Let d = p - 12. Suppose -3*m - 48 = -l + d, -126 = -2*l + 4*m. Is 20 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + -6*(-1 + (0 + sqrt(99))*-4 + (sqrt(99) - (sqrt(99) + 0)*2))).\nAnswer: 21 + 270*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 42192?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c - -1?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**5)\/(j**5\/j))**(5\/3)\/(((((j\/(j\/j**6))\/j*j)\/j)\/j*j**(2\/7))\/(j**(1\/2)\/j**(2\/9))) assuming j is positive.\nAnswer: j**(-85\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -452, -1812, -4078, -7250?\nAnswer: -11328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - -4. Let j(p) = -p**3 + 66*p + 19. Let x be j(-8). Suppose -16 = x*l + 2*h, 34 = -4*l - 3*h + t. Sort 2\/13, l, 4 in ascending order.\nAnswer: l, 2\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 47 = 2*y, 0 = -3*g - 2*y + 3*y + 26. Suppose -78*z + 45 = -77*z. Calculate the greatest common factor of z and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 61*s - 118*s + 99*s + 0 + 0 + 2*s + (s + 2*s - s)*(2 - 2 + 2) - 2*s + 3*s - 3*s - 3 + 3 + 2*s.\nAnswer: 48*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -470*d**2. Let u(z) = -z. Calculate v(u(y)).\nAnswer: -470*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4*(sqrt(171) + (2*-3*sqrt(171) + sqrt(171) - sqrt(171))))\/(-4*sqrt(576)*-3)*-4.\nAnswer: 10*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -19*z + 65. Let q(p) = 5*p + 2. Let g(m) = d(m) + 3*q(m). Calculate g(18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122021112000 - 21220?\nAnswer: -122021210220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 144 = -7*u. Let w be (1 + -1)*24\/u. Solve 2*o + o + 12 = w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide ((-280)\/50 + 6)*-42*-60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 1 - d**2 + 2 - 2*d + d. Suppose 6*j = 2*j + 20. Suppose -5*l + j = -10. Determine w(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 21. Let a = 7.03128 + 0.00372. Let s = k - a. What is s rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 29, -0.06, 3\/4, -45\/8?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(6292) + sqrt(416)\/sqrt(800))**2.\nAnswer: 2528253\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 5 - 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 150656 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**5\/10 + 30*n**2. Let l(j) = 9*j. Determine d(l(g)).\nAnswer: 486*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s = 13*s - 8. Let r(k) = -7*k - 9. Let j be r(s). Solve j*x = 4*g - 35, x + 16 = 2*g - x for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 1033*f - 36174. Determine k(35).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 10*x**4 - x**3\/3 + x + 2. Is 20 a factor of a(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 8*h**2 - 324*h - 648.\nAnswer: 4*(h - 9)*(h + 2)*(h + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5111 at most 5110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/48*-12*(-2)\/21.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, m: 9, b: 4, a: 1}. What is prob of sequence xb?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*w - 33*w + 7*w + 10*w + 13*w - 4464 as m + n*w and give m.\nAnswer: -4464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2363.64 < -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.032 and -0.13.\nAnswer: -0.00416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -31 - 87. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22909859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 103*i**2 - 496*i**3 - 864*i**2 + 374*i**3 + 663*i**3 + 1659*i**3 wrt i?\nAnswer: 13200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.382475 hours in microseconds?\nAnswer: 19376910000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (53298\/(-315))\/(-47)*(-5)\/(-1)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246*g + 557*g + 324*g - 2 + 10.\nAnswer: 1127*g + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -16, -5 in increasing order.\nAnswer: -16, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 6*x + 9*x - 11 = 0, 2*m + 2*x + 2 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 75768534 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 42*t**2 - 1645*t + 15600. Calculate z(23).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyzoyoooyoo. Give prob of sequence oooz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -1445999?\nAnswer: 11\/1445999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -10*z - 25*z. Solve 2*f + z*q + 10 = 0, 0 = -4*f + f - 3*q for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 5*h**5 - 250*h**4 + 2465*h**3 - 2220*h**2 = 0.\nAnswer: 0, 1, 12, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 747 = -8*p. Suppose p = 4*k - k. Calculate the remainder when k is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 61.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 14879*12105\nAnswer: 180110295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -666*l + 248427. Give s(373).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1991416118?\nAnswer: 2, 89, 887, 12613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**3 + 8*u**2 + 5. Let d = -38 + 46. Let n(o) = -2*o**3 + 5*o**2 + 3. Give d*n(h) - 5*m(h).\nAnswer: -h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -4\/29 (b) 5 (c) 0.1783 (d) 29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 - 92. Let t = -12.24 - 15.46. Let j = t - m. Put j, 0, 2\/7 in descending order.\nAnswer: 2\/7, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 22*t**3\/3 + 106. Let p(u) = -3*u + 10. Calculate c(p(v)).\nAnswer: 198*v**2 - 1320*v + 2200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-400)\/80)\/((-15)\/72)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooscooocoso. Give prob of picking 2 s.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -6e5?\nAnswer: 6ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**9\/5040 - o**8\/2800 + o**7\/1400 + o**6\/600 - o**3\/3 - 6*o + 69. Let j(s) be the third derivative of t(s). Factor j(x).\nAnswer: -3*x**2*(x - 1)*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (23 + 0) - -1 - (1041 - 1044).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 3*r = 185. Suppose 0 = -3*u + b - r, -2*u + 3*b - 8 = 19. Does 2 divide -1*u\/3*(-7)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/5432 and 29\/20.\nAnswer: 27160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c. Let v(n) = 4*n. Let m = -17 - -21. Suppose -w + b = -3, -1 + 28 = m*w + b. Let l(k) = w*t(k) + v(k). Let o(r) = 19*r. Calculate l(o(j)).\nAnswer: -38*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15139 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1406000 rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2044*r - 408*r - 14712 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -458488.44 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i - 5. Let y be p(5). Find the second derivative of 24*r + y*r + 34 - 34 + 8*r**2 wrt r.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-40)*-30)\/((-7)\/42)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 7*d + 0*d - 176 = 0, 9*d = 4*n + 216 - 21 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 10) to base 4\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 3*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -857760 divided by 240.\nAnswer: -3574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.090522 to three dps.\nAnswer: 0.091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**2. Let d(w) = w - 52. What is h(d(z))?\nAnswer: 3*z**2 - 312*z + 8112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*s + 732 = -114*s + 52*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5\/8 - 7*j**4\/4 + 33*j**3\/4 - 27*j**2\/2 - 27*j\/8 + 81\/4.\nAnswer: (j - 6)*(j - 3)**3*(j + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*j - 31 = 0, 4*c = -5*j - 2 + 25. Let w = c + -3. Suppose -2*i = -w - 16. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, -7, -1\/29, -2\/7, -3 in decreasing order.\nAnswer: 20, -1\/29, -2\/7, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 4*b - 24. Suppose 0 = 3*r - r + b. Find the common denominator of ((-153)\/r)\/((-28)\/16) and 39\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 513408 and 357.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -976 - -1033. Is 19 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -6*p - 77, 6*a + 0*p - 20 - 20 = 5*p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50296109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 68\/6*3\/2\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/5 or 5.1?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0*z = 3*z - 19, 5*o + z = 39. Find the second derivative of -o*i**2 - 1282 + 15*i + 1282 wrt i.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2222 + -3?\nAnswer: 2213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = a - 17 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 2*v + 0*v**7 + 0 - 5\/56*v**8 + 0*v**3 + 0*v**6 + 0*v**2 + 0*v**5 + 1\/12*v**4. What is the third derivative of j(n) wrt n?\nAnswer: -600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gzg when three letters picked without replacement from {e: 2, s: 1, z: 2, x: 6, g: 3}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p - 17. Let c be k(-5). Let s = -5 - -7. Suppose -s*q - c + 240 = 3*u, 4*u - 316 = -5*q. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.68963 rounded to two decimal places?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 419202 and 838405\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3562463042 + 5?\nAnswer: -3562463034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in 3.7, 0, 2\/5?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 881072, 0.5, -0.16, -2\/5 in descending order.\nAnswer: 881072, 0.5, -0.16, -1\/3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2933 and 1846696.\nAnswer: 1843763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -237 and -237 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8594 divided by -51.\nAnswer: -8594\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-282)\/22 - 6\/33. Let q = -15 - z. Is (q - 0) + -1 + 20 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 15 - -12 - (6 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + t + 16. Let h be o(0). Suppose -3*d + h = a, -29 = -5*d - a - 1. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5312, -2, 5, 30, 1 in decreasing order.\nAnswer: 5312, 30, 5, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -4*o + 36, 2*o + o = -3*y. Suppose -114 = -o*g - 6. Suppose -z = -g - 0. Calculate the least common multiple of z and 15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 10 (b) -2 (c) -652\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50852 + 50849. Let y = -6.88 + 7. Put 2, y, -0.04, t in increasing order.\nAnswer: t, -0.04, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbbbbbbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -1227 (c) 50 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 24 = -10*x. Let z(g) = g + 1. Let m(p) = p. Let j(r) = x*z(r) + 5*m(r). Calculate j(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144032 (base 6) to base 7\nAnswer: -55235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*v - 35*v - 30*v - 32*v - 65*v + 194*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 3. Let w = -462 + 462.1. Which is the closest to 2? (a) w (b) g (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 10*i + 4. Let p be l(-4). Let g be 1\/(-2) + (-9)\/p. Which is the smallest value? (a) g (b) -2\/9 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(112) - sqrt(112)*2)*4)**2 - 3*2*sqrt(112)).\nAnswer: -5376 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three eighths of a tonne?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**3 - 2*r**2 - 2*r + 4. Let n be j(2). Solve 36 = 7*d + n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 63.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -233 (b) -0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 9) to base 5\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 + 6*x**2 + 2*x + 2. What is s(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millisecond in microseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -29 + -896 + 953?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 4*h - 6. Let o be l(6). Let v = 0 + o. Let d be -1 + (v\/3 - 1). Solve q = -3*j - 18, -2*j + 3*j + 5 = d for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - j + 0*j)*(0*j**3 - 2*j**3 - 3*j**3).\nAnswer: -5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12335.\nAnswer: 5, 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75*z**3 - 2744*z - z**2 + 2744*z - 3 to the form o*z**2 + p*z + c + s*z**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 95933\/5 - 19271. Let s = 84 + y. Let f = -89 + 89.3. Which is the closest to 0? (a) s (b) f (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ed when two letters picked without replacement from {q: 9, d: 2, n: 2, e: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 115 - 115.1. Which is the nearest to -2? (a) 2\/13 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/10)\/(j**(2\/5)\/j)*(j**1\/j)**(-49) assuming j is positive.\nAnswer: sqrt(j)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 8:09 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/6128454 and -89\/12256908.\nAnswer: 12256908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -169. Let p be 340\/(-30)*o\/(-2). Suppose 2*m = 511 + p. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 3:48 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 483074101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -290 - -6377\/22. Is 1 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 5:07 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 8:11 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*f = -0*l - 6, -5 = -l - f. Let c = 15 - l. Suppose 3*r - 4*u + 8 - 1 = 0, -2*u = -4*r - c. Is r less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 1)*(-5*n + 0*n - 2*n) - n + 0*n - n + (-3*n - 2*n + 4*n)*(4 + 0 - 3) to t + r*n and give r.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 + 530*l - 1545.\nAnswer: -5*(l - 103)*(l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 39a - 4?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1600 - 1315?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -43*w**2 - 216*w - 6. Give n(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*v - 17*v + 1190 = 34*v for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/270 and 85\/39312.\nAnswer: 196560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - b = 41, -4*k - 4*b - b + 11 = 0. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49421, -49083, -48743, -48401, -48057, -47711?\nAnswer: -47363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11645*u**2 - 5*u - 719112 wrt u.\nAnswer: -23290*u - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -3 + 1 + 11. Calculate the highest common factor of 30 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*d - 37 = -283. Let k(t) = d - 245*t + 119*t + 122*t. Let p(c) = 5*c - 5. Give -5*k(q) - 6*p(q).\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llk when three letters picked without replacement from lkkkkklkkllkklll?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 118761 (base 11) to base 16\nAnswer: 2db76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3904*k + 1846*k + 1892*k.\nAnswer: -166*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**3 + 14*i**2 + 1. Let j(o) = 5*o**3 - 44*o**2 - 3. Calculate 11*g(m) + 4*j(m).\nAnswer: -2*m**3 - 22*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -8*c. Suppose -11*q = -5*q + 24. Is 16 a factor of m(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-43)\/r)**(-49\/4)\/(r*r**(3\/20))**(2\/39) assuming r is positive.\nAnswer: r**(210187\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*m = -6*m. Let k(t) be the third derivative of -3*t**2 + 1\/12*t**4 + 0*t + m*t**3 + 0. Let x(j) = -2*j. Calculate x(k(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1104 and 207.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 11) to base 15\nAnswer: 1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35450, 70907, 106364, 141821, 177278, 212735?\nAnswer: 248192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156227 is divided by 562.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 172 and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = d + 10, -75*s + 79*s = 5*d + 26. Solve 0 = 2*j - s, -b - j + 14 = 12 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78042 or 73497?\nAnswer: 73497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 441 - 434. Let b(i) = -3*i**2 - 36*i - 33. Let l(q) = -6*q**2 - 73*q - 67. Let j(g) = u*b(g) - 3*l(g). Factor j(d).\nAnswer: -3*(d + 1)*(d + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65193543 and 38337.\nAnswer: 2949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1384 and 11.\nAnswer: -15224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -0.007.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 221 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 7*z**2 - 9*z + 10. Let p be s(-5). Let f be ((-104)\/(-60) - 2\/6)*p. Let g(x) = x. What is g(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -32674262, -65348518, -98022774?\n\"Answer: -32674256*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2\/13*u**3 + 0 - 72\/13*u - 24\/13*u**2 = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - 23060?\nAnswer: -23101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 - 152\/(-28))\/((-2)\/(-77))?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-1*2)*-1. Suppose -118*t + 16 = -116*t + 3*p, 26 = 2*t - 2*p. Let j = -25 + 24.5. What is the closest to t in j, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 9*f**2 + f - 6. Let h be x(9). Suppose -32 = h*b - 8*b - 4*m, -m + 23 = 5*b. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7620, -15243, -22866, -30489, -38112?\nAnswer: -45735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-48) + 1\/(-12)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1187072 divided by -32.\nAnswer: -37096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r**3 + 0*r**2 + 0*r**2)*(-2*r - 4 + 4)*(136*r + 59*r + 142*r).\nAnswer: -3370*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 29 - 11. Is 3 a factor of (-1)\/4 - 26\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 1557*h - 129226. What is n(83)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}