diff --git "a/data/dm_maths/full_data/1105_11255.jsonl" "b/data/dm_maths/full_data/1105_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1105_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let b(o) = -o**3 + 31*o**2 + 42*o - 318. Let y be b(32). Solve -4*q = y*r, 2*r + 0*q + 5 = q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*w**3 + 84*w**2 + 291*w + 166 = 0 for w.\nAnswer: -1, 166\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25527 + 25529. Let r(a) be the third derivative of 0*a**7 - 47*a**f + 0*a + 1\/255*a**5 + 1\/340*a**6 + 0*a**3 - 1\/2856*a**8 + 0 + 0*a**4. Factor r(h).\nAnswer: -2*h**2*(h - 2)*(h + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -110 + 47. Let s be -1 + 1 + 9\/(b\/(-91)). Let v(a) = 26*a - 7. Is v(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70823855411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 146 + -147. Suppose -11*j = -10*j + 3. Put -5, j, g, 4 in ascending order.\nAnswer: -5, j, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168314601.\nAnswer: 3, 7, 13, 616537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40108227.\nAnswer: 3, 53, 252253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -1\/2 (c) -1 (d) -4\/7 (e) 1 (f) 11626 (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 910190453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*i**2 - 2*i**2 + i**2 + 2*i - 2*i - 2*i**2 + (-4*i**2 + i**2 + 2*i**2)*(-2 + 6 - 2) + 4*i**2 - 2*i**2 - i**2)*(i**2 + 0*i + 0*i).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45323 - 316496\/7. Let t = 109 - h. Let m be 1\/(5*3\/(-6)). Is m at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a week in minutes?\nAnswer: 52920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 10:57 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0082784 to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3510)\/24)\/(-13))\/(-13 + (-319)\/(-22))?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 378 and 392.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8376665*h**2*w**3 + 5*h**2*w**2 - 19369157*h**2*w + 2*h*w**3 - 2*h*w wrt w.\nAnswer: 50259990*h**2 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -22?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -62 not equal to -62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1125*q + 120*q = 35*q + 16640 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -25, -4*j + 5*y = j - 10. Suppose -4 = m - 1. Let u = j - m. Solve u - 1 = -x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1464.572 rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 149842395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvvvjfvjfcvfvvccv. Give prob of picking 1 f, 1 j, and 2 v.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3624 is divided by 35?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (-2 - 8) - (-5 - -8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - -1) + -10 + -4 + 8 + 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.1808 rounded to one decimal place?\nAnswer: 8.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -284*b**2 - 303*b + 2. Let u(s) = -4*s**2 + s. Let q(x) = f(x) + 2*u(x). Find the second derivative of q(v) wrt v.\nAnswer: -584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 - 4*m**2 + 6*m + 3. Let o be b(-5). Let r(d) = -d**3 - 3*d - 5. Let v be r(o). Is v bigger than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 0.1, 3\/7, 0.07, -8?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*m = 71*m + 47*m - 1836 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {i: 6, p: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/594 and 137\/6.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6*y - 2. Let p = -25 - -25. Let b be (3\/12*p)\/(-1). Let z = -2 + b. Calculate g(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f**4 - 126*f**3 + 84*f**2 + 414*f + 189 = 0.\nAnswer: -1, -3\/5, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*q - 10*q + 2*h + 4, 4*q + 12 = h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(2*sqrt(99)) + (2*sqrt(245))**2*-3.\nAnswer: -2940 + sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -80820642344 - 0.06.\nAnswer: -80820642344.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -63*o + 25. Is c(-22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 241*i + 2648. Let z be a(-11). Let q be (-4)\/14 + 69\/21. Suppose 0 - 6 = q*r. Sort r, z, 0 in decreasing order.\nAnswer: 0, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153778540 is divided by 51259513.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3144 and 5918187.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -352*h**3 + 26 - 26 - 124*h**3.\nAnswer: -476*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 289 + -273. Calculate the remainder when 155 is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + 0)\/((-6)\/(-4)). Let p = -4 - -18. Suppose q = m*q - p. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6272\/11 at most -1912?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -6824801393007 and 0.17.\nAnswer: -6824801393006.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15822835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6, 5039 in decreasing order.\nAnswer: 5039, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2 = -x, -5*o - 4*x = -3*o + 6. What is the remainder when 12 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of 213*g**5\/20 + 233*g**2\/2 + 270*g. Find the first derivative of t(b) wrt b.\nAnswer: 639*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112636544 divided by 32?\nAnswer: -3519892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 430*f**3 - 18607 wrt f?\nAnswer: 1290*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 96*u - 93 + 99*u - 294*u + 335 + 82*u. Calculate v(15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(-15)*36756\/(-1770414)\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-44)*165\/(-60). Are 0.4 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*w - 123 + 2243. Suppose -480 = a - 5*a. What is the greatest common factor of w and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12947 divided by 56\nAnswer: 12947\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3604)\/(-36) - (-4)\/(-36).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/((-120)\/(-27)))\/(36\/(-27)*(-81)\/288)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*i - 151743 = 0, -3*t + 3*i + 77204 = -74539. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(637) + -1 - sqrt(637)) + sqrt(637))**2 + sqrt(637) + -3*sqrt(26)\/(2*sqrt(2)).\nAnswer: 67*sqrt(13)\/2 + 641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*a = -2, -v + 0*v - 16 = 4*a. Suppose 10 = -3*h + 4*n + 33, -2*n - 24 = -v*h. Solve 0 = -h*b + 15, 0 = 5*z + 2*b + 3*b - 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1102*z**5 + 14 - 13 + 1692*z**5)*(3 - 5 + 0).\nAnswer: -1180*z**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9277\/5 + -1856. Let y = -10.4 - 2.6. Put -0.1, -3\/2, b, y in decreasing order.\nAnswer: -0.1, b, -3\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 i, and 1 f when three letters picked without replacement from {e: 7, f: 3, i: 1, o: 1, m: 1}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -187121, -187050, -186979, -186902, -186813, -186706?\n\"Answer: s**3 - 6*s**2 + 82*s - 187198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5, 3*b = 3*v - 3 + 18. Suppose b = o + 54. Let z = o + 45. Solve 0 = 3*f - 14 - z for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-125)\/((-47995)\/12000 - -4). What is n rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69\/34 + 121\/68. Which is the closest to 1? (a) h (b) 0 (c) -5 (d) -48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((24\/15)\/(-4)). Suppose -5*a = 3*t + 8, -g*t = -a - 0*a - 24. What is the hundreds digit of 113 + (a\/(-8))\/((-1)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(-3\/11))\/(h**(-25)\/h) assuming h is positive.\nAnswer: h**(311\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/12 + (-145)\/(-174)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 4 + 4)*(-4 - 1 - 3) - 4*o - o + o + (3 - 4 + 2)*(-2 - o + 2) - 1 + 2*o + 1.\nAnswer: 21*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 390292125 and 125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -504+2975.98\nAnswer: 2471.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 956 divide 3855111282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*w**2 - 9*w**2 + 31*w**2 + (3*w + 0*w - 2*w)*(-2*w - 3*w + 2*w) + 5*w**2 - 3*w**2 - w**2 to o*w + q + s*w**2 and give s.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 1)*(-y + 5049 + 0*y - 5204) to the form a + h*y and give a.\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23 + -102424?\nAnswer: -102401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) -1 (c) -9 (d) -3971\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 18744 = 27*y. Let u = -848 - y. Suppose 0 = 3*s + 2*s - 15. Sort -2, s, u in descending order.\nAnswer: u, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 2*d**2 + 25*d + 27. What is c(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3178 > 3383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 3. Let j = 11 - 6. Factor -f**2 + f**3 + k*f**2 - 13*f + j*f - 3*f**3.\nAnswer: -2*f*(f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*f**4*l - 2*f**3 - 41*f**2*l - f**2 wrt f.\nAnswer: 216*f*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3333 is divided by 111.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*z - 483*z - 140*z.\nAnswer: -789*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 17*a**2 - 11*a - 107. Let f be m(-17). Solve h = -85 + f for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2430*q + 58325. Calculate y(-24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2198, 4425, 6650, 8873, 11094, 13313, 15530?\n\"Answer: -b**2 + 2230*b - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-50)\/(-8))\/(4\/16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**7\/1260 + f**6\/180 - f**5\/20 - f**4\/2 - 41*f. Let a(u) be the third derivative of s(u). What is m in a(m) = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63.96 - 63. Let r = p - 0.56. Put r, -14, 5 in descending order.\nAnswer: 5, r, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q - 1. Let i be u(12). Let a = -18 - i. Let v(b) = -b**2 - 6*b - 2. Calculate v(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/(-25))\/(129\/(-1075)). Solve -1582 + 1592 = -o*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/18*(654\/105 + 80\/140)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 44, 8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -1970, -0.4, -1\/4, 0.13, -3?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -14649970.\nAnswer: 43949910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 14377*z - 5128. Let n(p) = p**2. Determine h(n(m)).\nAnswer: -m**4 - 14377*m**2 - 5128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.426 - 2.5979629\nAnswer: -4.0239629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (276 - 268) + (-32 - (-1 - -1))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s*((s**(-14\/5)\/s)\/s)\/s*s\/s**(-41)*s**(-22)\/(s\/(s*s*s**(2\/91)*s*s)) assuming s is positive.\nAnswer: s**(8746\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 782\/49 + -189085\/12152. Find the common denominator of 7\/31 and y.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5902 = 132*q - 12842. What is the remainder when q is divided by 35?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*w + 8*w - 20, 0 = 2*w + 2*f - 8. Solve -4*y - 18*c - 24 = -14*c, 0 = w*y + c + 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-2)*1\/(-1). Let h = u - -2. Let k(l) = -h - l - 3 + l**2 + 7. What is k(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 128380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-6))\/(2\/9). Let o be (-77830)\/33 + 1\/l. Let c = o + 2357. Which is smaller: c or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12958401 and 1212?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 3*y**2 - 2. Let u be l(2). Suppose 15 = -3*v - 2*v, 5*b + 2*v = -11. Sort u, b, 3 in descending order.\nAnswer: 3, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61356636 (base 7) to base 4\nAnswer: -103202322000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgrwgrgrwwkgggrrw. What is prob of sequence rgk?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 5, 10198 in decreasing order.\nAnswer: 10198, 5, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 5) + 4 + (0 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2643 is divided by -7 + -7 + 1 + 36?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58985710211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/38224 and -97\/30.\nAnswer: 573360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*s - 22*s = -2*u + 370, 2*u - s - 367 = 0. What is the remainder when u is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 3*w + 2. What is z(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28\/(-45) + (-2)\/(-5) - 972099\/(-81)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + -38 + 3 - (-5 - -23)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -2\/7, -4 in descending order.\nAnswer: 21, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - v + 3*w + 10, -w = -2*v + 5. Suppose -4*a + 48 = 4*n, 2*a - v*n = -3*a + 10. Let m(b) = 13*b - 18*b + a*b. Let y(c) = -5*c**2. Give m(y(r)).\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2527826910?\nAnswer: 2, 3, 5, 7, 12037271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 2*s + 3*z, -574*s + 577*s + 8 = 4*z for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47301?\nAnswer: 3, 15767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68950 and 17730?\nAnswer: 620550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**3\/3 + 26*v**2\/3 + 44*v\/3 = 0.\nAnswer: -11, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 2:50 PM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p**3 - p**2. Let s be w(-1). Suppose -3*t - 40 = -s*l, l - 3*l = 5*t + 6. Let d = 15 - l. Solve -d*u = -4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -9*s + 2. Let x be v(1). Is -3 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t + 3*t - 2*t + (t - t - 2*t)*(-1 + 1 + 1).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -4*a + k, -345*a + 346*a + 10 = 5*k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-2)*(-48)\/18. Let a(g) = -1 + c + 5 - 4*g. Let y(x) = -3*x - 7 + 2*x + 4*x. Give -5*a(t) - 6*y(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 1879*l + 51. Let s(m) = -5639*m - 136. Let g(d) = -8*b(d) - 3*s(d). Let y(r) = 3*r**2. Determine g(y(n)).\nAnswer: 5655*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4) - (-196)\/8. Suppose 4*b + o = 5*u, 4 = -3*b - u + 9. Solve b*q = -3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00164029 rounded to 5 decimal places?\nAnswer: -0.00164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**5\/5 + 6*c**4\/5 - 123*c**3\/5 + 186*c**2\/5 + 24*c - 192\/5 = 0.\nAnswer: -8, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16.6 + 16. Let r = 0.704 + b. Round r to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1001040 and -17\/139680.\nAnswer: 6006240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b**3 + 3*b + 3. Let q(l) = -13*l**3 - 5*l - 5. Let n = 1507 + -1510. Determine n*q(h) - 5*m(h).\nAnswer: 9*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6*d + 10 = 0. Let b be (-252)\/(-5) + d\/5. Suppose 2*a = i - 0*i + 26, i = 4*a - b. Calculate the remainder when 34 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a0 (base 15) in base 2?\nAnswer: 101110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/3)*b*b**(-4)*b\/(b\/b**7)*b*b*b*b**(-3)*b)\/((((b**(-1\/9)\/b)\/b)\/((b**(-3)\/b)\/b))\/(b\/(b*b*b**(2\/7)*b*b))**(-4\/3)) assuming b is positive.\nAnswer: b**(514\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.29 + 0.29. Let k = n + 0.9. Which is the nearest to -0.1? (a) k (b) 2\/9 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1153761, -2 in descending order.\nAnswer: 1153761, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -775377495*t**2 + 245982386*t wrt t?\nAnswer: -1550754990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -16*6\/(-4) - 2. Suppose -4*o = -12, 2*w - 3*o - 9 = -2. Suppose w*g = 9*g - n. Calculate the remainder when g is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 81.6, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -102 - -882. List the prime factors of t.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -9. Suppose -13 = -4*r - z*a, -r - 5*a + 15 = 4*r. Solve r*m - 2*m = -4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 999538721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59 + -58. Let t(y) = 20*y. Let s be t(m). Calculate the greatest common factor of 20 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 26 + 43. Let p(c) = -7 + 5*c + 18 - h. What is the units digit of p(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 h, and 1 s when four letters picked without replacement from {s: 5, v: 5, h: 4}.\nAnswer: 200\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -40 - -4431?\nAnswer: 4381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*0*1\/(-2). Let y = 10 + -7. Suppose s = -m - 0*m + y. Solve 0 = m*f + 12 - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112*h**5 - 1079*h**4 + 13*h**3 + 13*h**2 + h - 270 wrt h?\nAnswer: -6720*h**2 - 25896*h + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120489 divided by 5.\nAnswer: -120489\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*k + 38318 = 965*k + 507*k for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 2\/8 - (-2)\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*l - 192 = 203*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -d + 8 - 6, -18 = -4*d - p. Let k(q) = 6*q - 3. Let z(i) = 7*i - 2. Give d*z(o) - 5*k(o).\nAnswer: -2*o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*c - 4*g, -4*g - 16 + 0 = 0. Solve -5*f - c*n = -n + 5, -30 = 5*f - 3*n for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 115284 and 2360?\nAnswer: 68017560","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*s = 14, -1 = 3*i - s - s. Which is the nearest to 1? (a) -4 (b) 2\/13 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 349\/11 or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a + 38. Let n be l(-17). Suppose 0*u + n*u = 888. What are the prime factors of u?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/2)*((r*r\/(r\/(r*r*r**(1\/4)))*r)\/r*r)\/r*r**16\/r*r*r**(-1\/5) assuming r is positive.\nAnswer: r**(371\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/18)\/1 + (-1868)\/4203?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/93, -4 in descending order.\nAnswer: 2\/93, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*h**2*q*v + h**2*t*v - h**2*v**2 + 4*h*q*t*v**2 - 3*h*q*t + 2*h*t + 185*h*v**2 wrt q?\nAnswer: 3*h**2*v + 4*h*t*v**2 - 3*h*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00413 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 + 8*w - 8. Let t(i) = i**2 - 9*i + 8. Let s(y) = -2*o(y) - 3*t(y). Let g be s(10). Suppose -4*f - 6 + g = 0. Sort 2, -5, f in descending order.\nAnswer: 2, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20896*w**3 - 6*w**2 + 9*w - 3*w**2 + 20892*w**3 to a + s*w**2 + p*w + f*w**3 and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*y**3 + 3*y**2 - 12*y**3 - 3*y**2 - 4*y**3.\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*v = 76. What is the remainder when ((-255)\/68)\/((-7)\/280) is divided by v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**5 - 59856*i**4 + 298262292*i**3 + 2987233494*i**2 + 6872966505*i + 4184055162 = 0. Calculate i.\nAnswer: -7, -2, -1, 9981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w**2 - 2*w - 1. Let f(a) be the first derivative of 3*a**3 - 2*a**2 - 3*a + 6394. What is -2*f(u) + 5*y(u)?\nAnswer: 2*u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(52)\/(sqrt(8)\/sqrt(2)) - ((2*sqrt(156))\/sqrt(12) + 3) - (1*sqrt(5616))\/(6*sqrt(27)).\nAnswer: -5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 4*j**2 + 7*j - 1. Let q be t(-5). Let h = q - -25. Does 4 divide 88\/h + 2\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-47952)\/4144 + 44\/4. Suppose -f - 4*r + 9 = 0, 5*f + r - 7 = -0. Which is the closest to 1\/12? (a) f (b) m (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39804490549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxllxxclxlzxzxc. Give prob of sequence cz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/2 - 27*g\/2 + 27.\nAnswer: 3*(g - 6)*(g - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14295587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 421 - 398. Does 21 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 66 = 15. What are the prime factors of q?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 12:29 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7002232831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 4*c**2 + 12*c - 32. Does 17 divide r(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1018, 2037, 3054, 4069, 5082, 6093, 7102?\nAnswer: 8109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 408*j**2 + 11. Let f(n) = 1084*n. Determine x(f(u)).\nAnswer: 479422848*u**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + (2 + (2 + sqrt(192) + 3*sqrt(192) - sqrt(192)) - (3 + 3*sqrt(192) + sqrt(192) + 3)))**2.\nAnswer: 576*sqrt(3) + 1368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20191887 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 9 - 17 = 0. Solve -8 = 4*w + y for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -240 + 100213112?\nAnswer: 100212432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -548656 by 137164.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 4*h - 69, 3*y - 5501*h + 5497*h = 43 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 1d?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 10:45 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*c**4 + 34*c**4 - 57*c**4 + (-453 + 453 - 75*c**2)*(2*c**2 - 4*c**2 + c**2) as l*c**4 + j*c + q*c**2 + t + i*c**3 and give l.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 261 + -53. Calculate the highest common divisor of 26 and q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 17130.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 - 9*t + 6. Let j(o) = o**2 + 7*o + 15. Let m be j(-6). Let b be d(m). What is the derivative of b*z**4 + 2 - 1 - 4 wrt z?\nAnswer: 24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 2, e: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2 - 22*f + 48 = 0. Calculate f.\nAnswer: 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51 or -15694?\nAnswer: -15694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -265*q**6 - 34*q**5 + q**4 + 38243*q**2.\nAnswer: -31800*q**3 - 2040*q**2 + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03006282 rounded to five decimal places?\nAnswer: 0.03006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 14*s**2 + 56*s + 63. Calculate k(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(48\/(-3)))\/(27\/(-24)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 57462021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 26, -0.1, -3\/1037?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 12*j + 20. Let y be l(8). Let b = y - -17. Calculate the remainder when (2\/4)\/1*26 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*h - h - 4*j, -4*h - 3*j + 18 = 0. Suppose -h*o + 0*o = 57. Let p = o + 33. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 8*g + 19. Let h be p(3). Let o = 33.76 + 0.24. Let j = o + -35. What is the nearest to j in -0.09, h, -2?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-three quarters of a gram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14.4 + 1.4. Let m = k - -12.7. Which is the third smallest value? (a) m (b) 5 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/(-14))\/((-44)\/(-154)))\/(-1)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 7:30 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2)*(-66680*z + 1 - 2 + 67866*z + 1).\nAnswer: 3558*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -242 (base 15) to base 8.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2595*b**3 + 10*b**2 + 5*b + 1586. Let x(a) = -5192*a**3 + 22*a**2 + 11*a + 3168. Let i(s) = -11*w(s) + 5*x(s). What is the derivative of i(j) wrt j?\nAnswer: 7755*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 b when two letters picked without replacement from {b: 2, j: 1, c: 1, f: 1, g: 1, x: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -18*y**2 + 3*y. Let r(c) = 343*c**2 - 56*c. Calculate -56*k(m) - 3*r(m).\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -9*u**6 - 6*u**3 + 99*u - 6. Find the second derivative of b(l) wrt l.\nAnswer: -3240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 43 = 38. Put d, -1, 4, 3 in descending order.\nAnswer: 4, 3, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0 = 2. Suppose -5*r = 2 + 23, -5*a = q*r - 245. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b + 1. Let w be j(5). Suppose g + 3 = w. Solve -2*p - 2 + g = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00432254 to five dps.\nAnswer: -0.00432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*c + 585 = -17*c for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 42 = -3*i, v = 2*i + 20 + 3. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-2\/5))**(2\/33)*(z**(2\/5))**(4\/9))\/(((z*z*z\/z**0*z)\/z)\/(z\/((z*z\/(z*z**0*z)*z)\/z)*z*z*z))**(-16) assuming z is positive.\nAnswer: z**(-1558\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 73 = -5*c, c + 285 - 269 = -3*i. Let f(v) be the third derivative of v**6\/120 - v**5\/5 + 11*v**4\/24 - v**3 - v**2. Calculate f(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/t**13)\/t)\/(((t\/t**(-2\/13))\/t*t)\/t))\/(((t**(-2\/23)*t)\/t)\/((t*t**5)\/t*t*t)))**21 assuming t is positive.\nAnswer: t**(-38094\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 5864?\nAnswer: 17592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 23277915533556324*d**2 - 1220568144*d + 16 = 0.\nAnswer: 2\/76285509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + m + 6 = 0. Which is bigger: -13 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/15)*q*q)**38\/(q**(2\/27)\/q*q**4) assuming q is positive.\nAnswer: q**(9161\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f - 15. Let i be m(-10). Suppose -15 = -i*j, 5*a - 163 + 27 = -2*j. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 36*v**2 - 149*v + 30*v**2 + 146*v. Let a(c) = -2*c + 6. Let f(z) = 1. Let j(x) = -a(x) + 6*f(x). Give k(j(b)).\nAnswer: 264*b**2 - 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/1152 and -85\/192.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i**2 + 25*i + 9. Give c(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*c = -6*c - 2, -s - 8 = 5*c. Suppose 3*r = -5*w + 13 + 21, 4 = -s*r + 2*w. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1178, 169, 2386, 5467, 9406, 14197, 19834, 26311?\nAnswer: 33622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -277*o + 12. Let b be c(0). Solve d + 5*g = -11, 0 = 4*d + 31*g - 27*g + b for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -12. Suppose 50 = l*s - 0*s + 2*c, s - 35 = 4*c. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -395 - -198. Let s = y + 1272. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385800?\nAnswer: 2, 3, 5, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence af when two letters picked without replacement from {z: 2, w: 2, f: 7, j: 1, c: 1, a: 4}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 3:38 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -542, -1021, -1512, -2021, -2554, -3117, -3716, -4357?\n\"Answer: -r**3 - 472*r - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005937608 rounded to seven decimal places?\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*r - 8, 4*z + 5*r + 1 = -0. Is (z\/(-2))\/((-2)\/316) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.05 + -17. Let n = 1.5 + -1.85. Let i = t + n. Put -3\/2, 2\/3, i in ascending order.\nAnswer: -3\/2, i, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4922*h*j**4 - 4*h + 1122*j**2 wrt j?\nAnswer: 118128*h*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2038?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from opxpxoxxxxopypop.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 694121 greater than or equal to 694127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-84) - (-4)\/(-8)) + (-8768)\/32606?\nAnswer: -7\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaajjaaaaaajjaaaaa. Give prob of picking 1 a and 1 j.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14215 = 9*s + 207*s - 905. Calculate the greatest common divisor of 4865 and s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-102)\/5 - -21)*(1 + (10 - 1)). Let c(s) be the second derivative of s**5\/20 - s**4\/2 - 2*s**3\/3 + 2*s**2 - s. What is c(m)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 13*j**2 - 20*j + 34. Let b be i(12). What is the remainder when 17 is divided by b\/(-6) + 8\/(3 - 27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r. Let w(c) = 13*c. Calculate w(o(j)).\nAnswer: -26*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 - 13*j + 8*j + 8*j + (0*j + 5*j - 3*j)*(j - 5*j + j)*(j + 0*j + 0*j).\nAnswer: -7*j**3 + 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/24 of a day?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -10. Let u(a) = -a**2 - 4*a + 5. Let k be u(-5). Suppose 3*p - v + 4*v - 12 = k, -5 = 4*p - 3*v. What is the greatest common factor of p and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13404?\nAnswer: 2, 3, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 1823 + 14*h + 14*h - 27*h. Is v(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, n: 2, l: 3, g: 2, z: 3}. Give prob of sequence gl.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 56*h**3 + 52*h**2 + 4*h + 8. Let c(g) = -19*g**3 - 17*g**2 - g - 3. Let x(t) = -8*c(t) - 3*u(t). Solve x(v) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwlwwwl. Give prob of sequence llww.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - w**3 - 22*w + 22*w + 6*w**3 + 2*w**3 - w**3 + 0*w**3 + (w - 2*w + 0*w)*(-w**2 + 2*w**2 + w**2) + 2*w**3 - 2*w + 2*w.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccb. Give prob of picking 1 c and 1 b.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 14438, -10 in decreasing order.\nAnswer: 14438, 4, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 6:13 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z - 1. Let n be s(-2). Let i = 470 - 459. Suppose -n*j - 20 = -i*j. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2829738519 to the power of 1\/3, to the nearest integer?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b**2\/2 - 159*b\/2 - 410 = 0. Calculate b.\nAnswer: -5, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46142 + -5306374\/115. Let n = m + -2\/115. What is the second biggest value in n, 1\/19, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*k + 20*k - 42*k - 20*k**3 + 56*k.\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*b + 41*b + 23 = 4*q, -3*b - 2*q = -19. What is the remainder when (b - (-2 - 86)) + -7 is divided by (-2)\/6 - (-260)\/6?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**4\/8 + 2*u**3\/3 - 2*u**2. Let l = 2 + -1. Let i(q) = -1. Let g(x) = l*t(x) - 3*i(x). Determine g(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 483207 + 0?\nAnswer: 483207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jju when three letters picked without replacement from jllfuuuu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -28 (c) 3\/2 (d) 0.2 (e) -0.3 (f) -5183 (g) -3\/2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6757536 + 4?\nAnswer: -6757532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300 is divided by 64?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (2 - 4) - (8 + -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 242 + -243. Let i(k) = 4*k + 3. Let f(m) = 9*m + 7. Let v(j) = 3*f(j) - 7*i(j). Let w(p) = 3*p + 1. Give y*w(s) - 4*v(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*-6 + sqrt(1152)*3)\/(2*-2*(sqrt(256) + sqrt(256) + (sqrt(256) - (sqrt(256) - (sqrt(256) - (sqrt(256) + sqrt(256)*1)) - sqrt(256))))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 8*x**2 - 14*x + 36. Give t(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10002 (base 6) in base 9?\nAnswer: -1702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28\/11? (a) -5 (b) 0 (c) 5\/4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from atautauttwtatait. Give prob of picking 1 a and 1 u.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13\/3 (b) -1\/5 (c) 1996 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 5)*-51 + 1. Let p = k - -246. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/3))**(-17)*(c*c\/c**(-2))\/(c*c\/c**8*c) assuming c is positive.\nAnswer: c**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4245 - -4460. Calculate the highest common factor of 10 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - -39)*2\/4. Suppose 2*l = 5*a + m, -4*a - 10 = -2*l - 3*a. Let j = 8 - 4. Solve j*n - 6 = -5*c - 19, l*c + 14 = -5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13679233?\nAnswer: 37, 369709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 15 = 5*t - i, 4*t - 6 = 5*i. Let b be t\/8 + 82\/16. Find u such that -u**3 + 54 + b*u**3 - 2*u**3 - 12*u**2 - 5*u**3 + 9*u = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5057334?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.639 rounded to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -84.884 + -0.116. Let q = b + 88. Sort 2\/3, q, -1 in increasing order.\nAnswer: -1, 2\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*m)*(-6*m**2 + 5*m**2 + 626*m + 815*m - 367*m) in the form q*m + c*m**3 + k + l*m**2 and give l.\nAnswer: -2148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/22 - (-134)\/11. Suppose t*j - 189 = 171. Factor 66*i**2 + 4*i**4 - 12 - j*i**2 + i - i + 2*i - 30*i**3.\nAnswer: 2*(i - 6)*(i - 1)**2*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -6442023, -12884048, -19326073, -25768098, -32210123?\n\"Answer: -6442025*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1*-10*12\/42 and -26\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 13, -0.4, 0, -95.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 2*h = 46, 29 - 65 = 2*a - 2*h for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16475?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -362 times -2\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -15*x - 40. Let j be v(-4). What is the greatest common factor of 160 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -433\/7 + 62. Let v = -15.93 - 0.07. What is the third biggest value in l, v, -2\/13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*l + 5*l + 14131. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1606.331988 rounded to 0 dps?\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 487*j**4 - 1944*j**3 - 872803*j**2 + 8*j wrt j?\nAnswer: 11688*j - 11664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 7*k. Let l(p) = -5026*p + 129. Determine j(l(h)).\nAnswer: -35182*h + 903","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 1.2, 6 in descending order.\nAnswer: 6, 1.2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*s - 4*x, -2*s + 2*x + 2*x = -4. Let v be s\/(-2)*0 - -32. Let r be 8\/(-6) + (4585\/21 - -39). What is the highest common factor of v and r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 r, and 1 i when four letters picked without replacement from rfqrifrrrqfrrc.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5.4, -7, 168, -229, 0.3, 4?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -141*g + 9*g + 7218 + 966. Solve 37*k + g = 6*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = v, -94*v - 5*r = -91*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.2 from -0.3915.\nAnswer: 1.8085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) 0.01 (c) 3\/2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 9*i - 9. Let x be q(-9). Let y = x - -13. What is the third smallest value in y, 3, -2\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q**5 - 11689*q**4\/3 + 6281*q**3 + 5003*q**2 - 13324*q\/3 + 740 = 0. What is q?\nAnswer: -1, 2\/7, 1\/3, 2, 555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3398 + -3401. Let s(p) = p**2 - 7*p + 2. Let q be ((-20)\/6)\/((-4)\/6). Let x be s(q). Which is smaller: a or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = k + n, k = n + 3*n - 13. Let m = -21 - k. Suppose 0 = 5*z + 3*h - 155, -h = -m*h. Calculate the remainder when 91 is divided by z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 148531000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b**2 + 8*b + 5*b**2 - b**2)*(b - 6*b + 2*b)*(-b + 0 + 0).\nAnswer: -6*b**4 + 24*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -226.910329 to two dps.\nAnswer: -226.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10 + (-4542)\/(-12))\/(-4 - 72\/(-16)). Is 734 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 6*n - 3. Suppose 0 = -83*r + 80*r + 12. Let m(x) = 7*x - r*x**2 + 2 + 33*x - 65*x + 11. Calculate -9*j(l) - 2*m(l).\nAnswer: -l**2 - 4*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50.8 - -116. Let t = -201.8 - o. Let j = -265.29 - t. What is j rounded to one dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -15*u**2. Let c(i) = -131*i**2 - 4*i. Give c(w(x)).\nAnswer: -29475*x**4 + 60*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) -0.5 (c) -2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9922*q**2 - 9287*q**2 - 7 + 7 to the form c + k*q**2 + r*q and give k.\nAnswer: 635","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 31 = -r, 4*r - 96 = -2*x + 4*x. Suppose 2*m - 11 = -5*o, -2*o - r = 5*m - 7*o. Let t be m - ((-6)\/9)\/((-2)\/(-7)). Sort -2, t, -0.6.\nAnswer: -2, -0.6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 3052 - -1761. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2385090*m**2*r*t**3 + 36*m**2*r*t**2 + 2*m**2 + m*r**2*t**3 + 2005*m + 3*r**2*t**2 wrt t?\nAnswer: -14310540*m**2*r + 6*m*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/14369544 or -1?\nAnswer: 5\/14369544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-3)\/114*-2). Suppose -4*q = -k - 5. Solve -5*o - q = -2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + j + 104. Suppose -3*n - 6 = -2*u, 0 = -3*n - 6. Let x be p(u). Let a be (-7)\/((-7)\/12) + 1. What is the greatest common factor of a and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 3. Let t = c + -1.4. Is 0 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0219 and -43.9.\nAnswer: -0.96141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.6 + 4.9. What is the second biggest value in 0, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-14) - (-79)\/7. Let r(k) = k + 130. Let v be r(-26). Suppose -688 = -9*j + v. Calculate the greatest common divisor of j and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-15)\/20 + (-12)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 324.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120279204.\nAnswer: 2, 3, 47, 67, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1420794 - 5?\nAnswer: 1420789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 8:51 AM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h - 2*h - h)*(3 - 3 + 1) - 3*h - h + 7*h + (-2 - 2 + 2)*(-h - 1 + 1) + 0*h - 2*h + 3*h - 14*h - 8*h + 5*h to q + o*h and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 34*z + 23. What is k(14)?\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6064817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/4*(-42)\/(-63)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (189\/(-84))\/((-3)\/764).\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -u - 0. Let c(h) = -4*h - 2*h**3 + 0*h**2 - 6*h**2 + 0 - 2. Is c(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -133.7 + 131. Which is greater: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -6*t - 1. Let h be s(-1). Suppose -h*f = -2*q + 57, q + f - 103 = -3*q. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ob when two letters picked without replacement from ouoouoobuooooroouoou?\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1565609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 245222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**3 - 471*g**2 - 9900*g = 0.\nAnswer: -132, -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 1:38 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k. Let t(f) = -4*f - 5 + 5. What is a(t(i))?\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 take away -7.545925426?\nAnswer: 330.545925426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**2 + 2*a - 88. Let s(l) = 25*l**2 + 12. Give t(s(v)).\nAnswer: 1875*v**4 + 1850*v**2 + 368","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (28\/(-49))\/((-2)\/((-2)\/(-15))). Is l >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**2 + i - 14. Let a be p(0). What is the units digit of (-345)\/(-21) + (-8)\/a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*s**2 - 1772*s + 1772*s.\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 394 = 256. Calculate the remainder when s is divided by (-19)\/(-95) - 4\/((-20)\/69).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-8 + 3) - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -58*y**3 - 16*y**2 + 2*y - 7. Let d(g) = -29*g**3 - 8*g**2 + g - 4. Calculate -7*d(m) + 4*p(m).\nAnswer: -29*m**3 - 8*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 45 = -z. Let l be (-2 - 1) + 14\/69*z. What is the third smallest value in -0.1, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - p**4 - 1 + (-p - p + 4*p)*(1 - 5 + 1)*(-5*p**3 + p**3 + 3*p**3).\nAnswer: 5*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 5*v + 779, -5*b = v - 2738 + 825. Let h = -374 + b. What is the highest common divisor of h and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 23535 = 301535. Round p to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 3 + 2*z)*(-5*z**2 + z**2 - z**2).\nAnswer: -10*z**3 + 10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14100289 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 109107797.1418?\nAnswer: -109107796.7418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-8)*q**(-7)*(q*q\/(q\/q**(-1)))**(-22))\/(q**(2\/5)*q\/(q*q**(-2)\/q)*q**(3\/8)*q*q**(-6)) assuming q is positive.\nAnswer: q**(-551\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/1*1230\/(-9840)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31)\/40 + 15\/40.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t + 505*t - 1 + 1.\nAnswer: 500*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/7*(-25)\/(-300)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72032?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14210240 and 113681920.\nAnswer: 113681920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - 5. Calculate the lowest common multiple of (0 - 4)\/(-2 + 1) and f\/8*(0 - -4).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2 - 314. Let l(a) = 4*a**2 + 10. Let f(k) = -2*k**2 - 4. Let q(w) = -5*f(w) - 2*l(w). Determine r(q(p)).\nAnswer: -8*p**4 - 314","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (0 + -12 + 4) - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5 = -0. What is the units digit of (2 + m)*(0 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21680, 21667, 21642, 21599, 21532, 21435?\nAnswer: 21302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j. Let d(h) = -459*h - 460*h + 902*h. Determine o(d(f)).\nAnswer: 68*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 0.3, -0.13, 0.08312, 2\/43 in ascending order.\nAnswer: -26, -0.13, 2\/43, 0.08312, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x**3 + 2*x**2 - 7*x**4 + 9*x**4 - 5*x**4 + x**4 + 64*x + 6*x**3 - 1 to u + y*x + n*x**3 + o*x**2 + j*x**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5*o + 286 - 1 = 0, 2*p = -o + 108. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**3 + 516*t + 16. Let l(r) = -r**3 + r - 3. What is -5*l(d) - u(d)?\nAnswer: 2*d**3 - 521*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/2879310 and -111\/383908.\nAnswer: 5758620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -14, -3, -1\/3, 26993?\nAnswer: 26993","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -154 - 343. Are j and -493 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**4\/12 - r**3\/3 - 9*r**2\/2 + 31*r. Let o be u(6). Let i = 114 + o. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - q - 1. Let n be 13 + 3 + -11 - 4. Let m = 1 + 3. Let w(u) = -126*u**2 + 3 - 127*u**2 + 7*u + 256*u**2 - u. What is m*f(v) + n*w(v)?\nAnswer: -v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -97*t + 1\/2*t**2 + 9409\/2.\nAnswer: (t - 97)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 4:23 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65)\/(-5)*32\/(-208)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = a - 2*h, 25 = 5*h. Let 24*d**4 + 17*d**4 - 68*d**a + 24*d**4 = 0. What is d?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 2405153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -567 = 4*g + 318*v - 399*v, -2*v + 14 = -4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*c - 2*c + 2*c)*(-36 + 7*c**3 + 36).\nAnswer: -98*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 4\/27*q**3 + 21 + 0*q + 1\/3*q**2 - 1\/18*q**4. Factor p(l).\nAnswer: -2*l*(l - 3)*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-14\/5)\/(v\/(v**(9\/2)*v))*(v*v*v*v**(15\/7))**(-44) assuming v is positive.\nAnswer: v**(-15721\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 8 - 24. Suppose -2*t + f*g + 250 = -g, 4*t - g = 464. What are the prime factors of t?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7976 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmuummmmm. Give prob of sequence umu.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23098719*r**5 + 4*r**3 - 22*r**2 + 1497440*r.\nAnswer: -1385923140*r**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20, -111, -328, -631?\n\"Answer: -43*j**2 - 2*j + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence win when three letters picked without replacement from iwiwnn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a factor of 30518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of ((-1355)\/(-10))\/(10\/4 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhxhhhxhhhhhxhhh. What is prob of picking 2 h?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 14*j + 6. Let d = -7 + 10. Let x be c(d). Suppose -11*k = -8*k - x. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a minute in seconds?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, l: 9, h: 4}. Give prob of picking 1 y and 1 l.\nAnswer: 9\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 10. Let i be -2 - 1*-4 - 9. Let t be 2\/i - (-90)\/21. Solve 3*o = -n - 2, m*o = -1 - t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**16*s)**(3\/4)*(s*s**(3\/4)\/s)**(-3\/41) assuming s is positive.\nAnswer: s**(-1731\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*m + 34*m - 14*m)*(-1 + 1 - 2)*(-7 + 6 + 32*m - 10*m + (2*m - 3*m + 3*m)*(4 - 1 - 1)).\nAnswer: -2132*m**2 + 82*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*w + 16159 = -858*w + 3375 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-7))\/(631\/((-13251)\/(-450)))\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 246 - 245. Which is the nearest to -3\/4? (a) -3 (b) s (c) -2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*i**5 + 26*i**3 - 26*i**3 + (i + 0*i + 0*i)*(2*i**4 + 2*i**4 - 2*i**4) + 15*i**5 - 10*i + 10*i + i**5 + i**5 - 6*i**5.\nAnswer: 25*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**3\/5 + 42166*f**2\/5 - 223610502*f\/5 + 2871416106 = 0.\nAnswer: 65, 10509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/4))**(2\/75)*k**(-5)*k*k*k**(-4\/3)\/k assuming k is positive.\nAnswer: k**(-53\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 0 + (-2 - -22) - 0?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 1666*c + 3. Let v(w) = 50*w**2 - 183*w. Determine f(v(d)).\nAnswer: 83300*d**2 - 304878*d + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2886*a*z - 40*z + 30 wrt a?\nAnswer: -2886*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 4 - (2 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 + -13. What is the remainder when ((-21)\/7)\/((-8)\/200) is divided by p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13.9 or 0.09?\nAnswer: 13.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*t + 5*p, -1 - 3 = -2*t + 4*p. Suppose 0 = -t*a + a. Let w be -1 + 47*(-17 - a). Round w to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**4\/12 + 6683*z**3\/42 + 955*z**2\/7 - 5409*z. Factor i(j).\nAnswer: -(j - 955)*(7*j + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-15)*5)\/(69\/((-4761)\/(-6))).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, -5\/6, 1, -0.5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tbtznsnstbbtszhz. What is prob of picking 1 t, 2 z, and 1 h?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in 4\/9, 3, -0.5, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -64*d. Let v be (-16)\/(-6)*(-49 - -28). Let u(o) = 7*o. What is v*u(k) - 6*b(k)?\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 50216449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2230\/(-2007)*(-648)\/(-45).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.85 - 8.85. Which is the second smallest value? (a) 1 (b) g (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 1:40 PM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**38\/(c**30*c) assuming c is positive.\nAnswer: c**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 432, 3510, 6588, 9666, 12744, 15822?\n\"Answer: 3078*b - 2646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 6*i - 7 = 0. Let t be -5 + 2 + (i - (4 + -3)). Suppose t*y - 139 = 14. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 848 = -4*q, -q - q + 423 = h. Suppose -u - l = 1 - 71, 3*u + 2*l - q = 0. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 z when two letters picked without replacement from {z: 4, o: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 447639?\nAnswer: 3, 149213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 10*n**3 + 4*n**2 + 3. Let c(x) = x**3 - x**2 + 3*x - 3. Let s(u) = c(u) + h(u). Let a(t) = 22*t**3 + 7*t**2 + 7*t. Give -3*a(k) + 7*s(k).\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 144 - 134, -4*r = -z - 3515. Which is greater: r or 879?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 18, -0.16, -0.5, -0.3 in descending order.\nAnswer: 18, 0.2, -0.16, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94915?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -6*u + 35. Let a be i(-7). Suppose -j + a = 5*o, 9*o - 4*j = 5*o + 76. Calculate the lowest common multiple of o and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 301799.8909556 + -301800. Let g = d + 0.109. Round g to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-117)*43875\/(-1350).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b*c*j - b*c + 71*b*j - b + 29*c*j - 5*c - 4*j - 2 with respect to b.\nAnswer: c*j - c + 71*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*292\/90)\/(3490\/26175).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*z + 8 + 15 - 5*z + 2*z**2 to u*z + h + s*z**2 and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.001 times -3977?\nAnswer: 19888.977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 13. Suppose 5*h = 5*b - 11 + 1, b = 2*h. Suppose -3*w + w - 3*p = -152, h*p = -s*w + 391. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**3 - 392*q**2 - 6146*q - 10740 = 0.\nAnswer: -179, -15, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-9)\/(-6))\/((-5)\/2). Which is the nearest to 0.1? (a) 1 (b) q (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 12, f: 7}. Give prob of sequence fcc.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -2363103, 2, 1.\nAnswer: -2363103, -2, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + 20\/(-8))*6. Suppose -d*h = 3*z - 60, 11 = 4*z + 3*h - 64. Find the third derivative of -11*j**2 + z*j**2 + 10*j**4 + 17*j**2 wrt j.\nAnswer: 240*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3040189?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000252 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -67, -91, -107, -115, -115, -107?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 559 and -0.5.\nAnswer: -279.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -z - 5 + 6, -3*m = 3*z - 9. Let g = 530 + -459. Sort z, 0, 1, g in descending order.\nAnswer: g, z, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1070892 is divided by 970.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-2 - -3) + (-1 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-3774)\/(-1256))\/((-2943)\/(-3924)).\nAnswer: -1\/157","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -91293748.12000258 + 91293749. Let j = a - 0.88. What is j rounded to 7 decimal places?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8006578?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 8645.915 minutes?\nAnswer: 518754900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -7*o + 94. Let y be j(13). Suppose c + 4 = -y*c, -31 = -2*l + c. Calculate the greatest common factor of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89 - -85.3. Let a = 1.3 - x. Let l = 61 - 60.8. What is the closest to -0.1 in -2\/3, l, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -42*s - 27 + 59*s - 42*s. Let g be r(-3). Suppose 9*j - 10*j = -g. Is j a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -11?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, d: 1, n: 6, y: 4}. Give prob of picking 1 n, 2 h, and 1 d.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6381 is divided by 51.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19174340 and 636.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/2)*y*y)\/(y\/(y\/y**(15\/8)))*(y**15)**(-9\/8) assuming y is positive.\nAnswer: y**(-69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -32864 divided by 4?\nAnswer: -8216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11086417 divided by -4?\nAnswer: -11086417\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (11 + (-16 - -9) + 13 - 10 - 28)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/a**0))\/a)**8)**(-37)*a*a\/((a\/(a*a**(-2)))\/a)*a*a**(4\/5)*a\/a**(2\/25)*(a\/(a*a**(-7\/4)))\/a assuming a is positive.\nAnswer: a**(30047\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**4\/20 + 3*u**3\/10 - 3*u**2\/5 + 7*u. Let k(r) = 0. Calculate r.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2275980123.\nAnswer: 3, 47, 2089, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 519910.8 months to years.\nAnswer: 43325.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/2)\/(-1) + 31. Suppose 0 = 2*b - 3*i - y, -b + 2*i + 28 = b. Suppose -4*v + 360 = -0*v. Calculate the greatest common divisor of b and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/693*1\/(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = -86*o + 69 - 34 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 1366*t**2 - 4125*t + 46. Calculate f(3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30637.723 + 30615. Round f to one decimal place.\nAnswer: -22.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-2)\/20*-1*2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 5*y - 18 + 53, 5*d = 2*y + 15 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 2895*s + 9*s**2 - 2939*s - 2*s**2 + 5939*s - 2 as r*s**2 + l*s + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12229*t**2 - 4*t**3 - 99*t**3 + 12229*t**2.\nAnswer: -103*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -9*b**2 + 3*b + 45. Let z(j) = -29*j**2 + 12*j + 138. Let t(w) = 13*y(w) - 4*z(w). Give t(-14).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xommmmmxx. Give prob of sequence xo.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**5\/90 + w**3\/9 - 3*w**2. Solve g(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 d when two letters picked without replacement from hcjdjdchjdhnhhnjjdc?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -7*c + 303804. Suppose 4*d - 16 = 4*k, -3*d = -4*k - d - 14. Is (c\/6)\/(-2 + (k - -7)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 plus 1660.3607573032?\nAnswer: 1660.4507573032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 1292*z + 6482. Let s be b(-5). Solve -31*l - 4*q = -33*l + s, -2*q = 4*l + 16 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**3 + 4*a**2 - 29*a - 30. What is m(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 612, 1193, 1748, 2277, 2780, 3257, 3708?\nAnswer: 4133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 230702204506 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-14)\/6)\/((-1)\/6). Suppose p = -p + s. Calculate the highest common divisor of 56 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 85*q - 14. Let w = -385 - -387. What is the remainder when a(w) is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwwk when four letters picked without replacement from {w: 5, x: 2, k: 5, o: 3}.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-12)*(-22 + 1836\/85)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*u - 35*u + 108 = 0. Suppose 53 - 17 = m. What is the highest common divisor of u and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451269 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 17 = -z - 0*n, 10 = z - 4*n. Let w(c) = -5*c**2 - 38*c - 115. Let v be w(-12). Let s = -357 - v. What is the lowest common multiple of z and s?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-31 - 14 - 20)*((4*a + 3*a - 6*a)*(76*a - 12*a - 37*a) - 3*a + 2*a**2 + 3*a + (-5*a - a + 4*a)*(-a + 3*a + 0*a)) to j*a + w + p*a**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/313 >= -70630?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 1\/2)*(-296)\/(-111).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d + 2?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(36) - (sqrt(36) + sqrt(2304)*-1))\/((sqrt(12) - (sqrt(1452)*5 - sqrt(12))) + sqrt(12)).\nAnswer: 12*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 95375537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35.5 - 51. Let t = 15 + k. Sort -2\/3, t, 5\/2, 0.1 in decreasing order.\nAnswer: 5\/2, 0.1, t, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c - 25. Let z be f(-18). Suppose -3*o + 8 = 4*h, -5*h + z = -o + 5*o. Suppose 24 - 152 = -o*y. What is the remainder when y is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 13330077722.\nAnswer: 13330077722.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -163*m - 2109. Determine b(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.6 and 0.17.\nAnswer: 0.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zn when two letters picked without replacement from {n: 4, t: 2, j: 7, z: 1, r: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 980238 is divided by 42617?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 4*x + 1. Let f be ((-2)\/(-8))\/(((-184)\/32)\/(-23)). Let i(v) = -v**2 + v. Determine f*d(w) + 4*i(w).\nAnswer: -3*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 + -41. Suppose -14*i + 9*i = -l. Solve i*v + 2*a - 4*a = -12, 3*v + 10 = 2*a for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 3*w - 26 - 2*w - 18*w - 16*w**2. Let u be v(-15). Solve u*z + 0*z - 4 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27269?\nAnswer: 11, 37, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 1:40 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) 3\/2 (c) 920\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j. Suppose 5*l - 3*f - 752 = -f, 0 = 2*l - 5*f - 284. Let b(v) = 307 + 51*v**2 - 155 - l. What is m(b(o))?\nAnswer: -51*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -97392522*y**6 + 137994613*y**2 wrt y.\nAnswer: -11687102640*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8 or -731\/83?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 7:59 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 10991958?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1116, -2131, -3038, -3837, -4528, -5111?\n\"Answer: 54*v**2 - 1177*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h + 100. Let m be p(-12). What is the highest common factor of m and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 531, -52, -1015, -2352, -4057, -6124?\nAnswer: -8547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 2*u - 19. Suppose t - 337 = -1574*h + 1571*h, 0 = -6*t - 4*h + 2134. Calculate the remainder when t is divided by u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44522011 (base 8) in base 10?\nAnswer: -9610249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 37*f**2 + 76*f + 74. List the prime factors of b(-39).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2553, 3921, 7629, 14847, 26745, 44493, 69261?\nAnswer: 102219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-5)\/120*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-16) + (-6)\/(-4). Suppose u = -3*t - 3, -u + a + 3 = t. Let z(y) = y - 6. Calculate z(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5669*l**2 - 5690*l**2 + 11359*l**2 + 3*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/19915 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/72 and 9 + (-2 - 675\/144).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -7*a**3 - a**2 - 6*a + 11. Let c(g) = g**3 - g**2 - 1. Let k(i) = b(i) + 6*c(i). Let m be k(-6). Let s(w) = w - 10. What is s(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416 is divided by 236?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**4 - 4*s**3 + s**2 + 2*s - 2. Let o(d) = -5*d**4 + 17*d**3 - 4*d**2 - 8*d + 9. Let v(q) = 9*i(q) + 2*o(q). Determine h so that v(h) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44536\/33 greater than 1349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112100 + -11220121?\nAnswer: -20102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13500, 26488, 39476, 52464, 65452, 78440?\nAnswer: 91428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1513.184 + -283\nAnswer: 1230.184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -975, -1539, -1835, -1851, -1575, -995, -99, 1125?\nAnswer: 2689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -304*y - 303*y + y**2 + 589*y + 8. What is the remainder when (2 + -1 - 0)*21 is divided by q(18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*n**3 - 115295*n**2 - 16201425 with respect to n.\nAnswer: -33*n**2 - 230590*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 - (8 + 189\/(-12)). Sort -2, g, -13, -7.\nAnswer: -13, -7, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 3*h**2 - 5*h - 3. Let y = -9 - -5. What is the remainder when 2 is divided by p(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1678 is divided by 1536?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(3\/8))\/(t\/(t**(-35)\/t)) assuming t is positive.\nAnswer: t**(-283\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -100100000011111 (base 2) to base 11\nAnswer: -12965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -155\/5671 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 223, 432, 661, 910?\n\"Answer: 10*i**2 + 179*i + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) 5 (c) 0.1981 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20701.99980842 + 20702. What is m rounded to 6 dps?\nAnswer: 0.000192","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**3\/4 + 6723*p**2\/2 + 280977*p\/4 - 147213\/2 = 0. Calculate p.\nAnswer: -4461, -22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 0.017.\nAnswer: 0.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 81.6589 minutes?\nAnswer: 4899.534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*s + 496 = -193*s - 4*i, 0 = s - 3*i + 128. Which is the second biggest value? (a) s (b) 0.1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**3 - 4*j**3 + 3*j**3 + 2*j**3 - j**3 - 2*j**3 + (-4*j + j + j)*(3*j**2 - 6*j**2 + 4*j**2) + (3 - 3 + j)*(-j**2 + 3*j**2 - j**2).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 90, 151, 194, 213, 202, 155?\n\"Answer: -i**3 - 3*i**2 + 77*i + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttdttttdtd. Give prob of sequence dd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 4:47 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1441*s - 9 + 30 - 21.\nAnswer: -1441*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) - (2 + (sqrt(2736) + -1)**2)) + (sqrt(2736) + sqrt(2736) + 0 + 3)**2 + sqrt(2736) + sqrt(2736) - (1*sqrt(2736)*1 + 0)**2.\nAnswer: 204*sqrt(19) + 5478","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 2*l - 1, l + 2 - 4 = -4*w. Let n(c) = -190*c + 234*c + 87*c - 4. Is n(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 4*u = -2*o + 24, 60*o - 118*o + 18 = -53*o - 2*u for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -259\/5 - -52. Let l = 0.2 + -0.3. Let q = -5.4018 - -9.4018. Which is the second biggest value? (a) y (b) l (c) q (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 6*h**2 + 15. Let v be l(-6). Solve j = -3, 4*p + 5*j = p - v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 19*r**3 - r**2 + 1. Let u be g(1). Let n = u - 17. Solve -n*k = -7*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -119*k**3 + k**2 + k. Let f = -5 + 11. Suppose 7*m - f*m + 1 = 0. Is s(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (184704\/(-210) - 4\/(-10))\/(269\/(-1883)) is divided by 131?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -3.2. Let u = -10.2 + 12.2. Which is the nearest to -1? (a) u (b) r (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 61791, 124109, 186427, 248745, 311063?\n\"Answer: 62318*l - 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nfqjqnjjjqi. Give prob of picking 2 q.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -63614*i - 5. Let w be u(-2). Suppose -8172 - w = -5*j. Let l = -41079 + j. Round l to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*j = -5, -3*z - 2*j = -2*z - 2. Suppose -c + 3*q = z, 3*c = 3*q + 2*q + 8. Suppose c*n - 4*n = 24. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1339*t**2 - 2*t - 1288*t**2 + 2*t.\nAnswer: 51*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 11*m**2 - 11*m - 9. What is the hundreds digit of k(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 826, 1672, 2534, 3418, 4330, 5276, 6262?\n\"Answer: y**3 + 2*y**2 + 833*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -175, -688, -1541, -2734, -4267, -6140, -8353?\n\"Answer: -170*c**2 - 3*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 143443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 50938, 78324, 105712, 133102, 160494, 187888?\n\"Answer: s**2 + 27383*s + 23554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 230 = 25. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12021436331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 2) + (49 - 30) - (1 + 1).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 469 + 8*v**3 - 1371 + 453 + 449 - 25*v**3 + 11*v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*sqrt(252) + 5 - sqrt(252))**2*2.\nAnswer: -4132 + 480*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 12:28 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.8712528 rounded to 1 dp?\nAnswer: 35.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 10:41 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -240*g**2 + 23*g - 24. Let u be k(1). Let i = u - -755. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 44641 and -453301.388?\nAnswer: 497942.388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 692740 is divided by 2685?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, m: 1, k: 1}. What is prob of picking 1 d and 1 k?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (sqrt(77) - (3*sqrt(77) + sqrt(77))*-6)) + sqrt(77))\/((sqrt(66)*-2)\/sqrt(6)).\nAnswer: 23*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -16.1. Let n = -2.024 + -0.076. Let i = n + v. Which is the biggest value? (a) i (b) -1.2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1776 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 2. Let t = 19.4 + -23.38. Let x = t - -4.38. Which is the nearest to u? (a) 2 (b) x (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 20*c**2 + 19*c - 12. Let h be p(19). Let t = 1193\/5 - 237. Put 2\/13, h, t in descending order.\nAnswer: t, 2\/13, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*a + 3739, 4*a + 4*v - 1766 = 1958. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 14*n. Let x(f) be the third derivative of -f**5\/30 + 2*f**2. Give x(s(q)).\nAnswer: -392*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 1:36 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -h**7\/21 - 19*h**4\/12 - 17*h**3\/3 - 175*h. What is the second derivative of g(l) wrt l?\nAnswer: -40*l**3 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 7:12 PM?\nAnswer: 1:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -4*c - 16, 2*u - 19 + 5 = 4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1927 - -1927. Solve z + 1 = o, -4*b = -9*b - 5*z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*-4154.\nAnswer: 37386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 23*x. Suppose 15*d - 9*d + 6 = 0. Determine r(d).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*p + 34 = 0, -5*o + 0*o - 4*p + 49 = 0. Let c(n) = 48 + 41 - n + n**3 - o*n**2 - 84. What is c(13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5322212 (base 7) in base 8?\nAnswer: -2352245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2609027 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4214 and 7224?\nAnswer: 50568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -34*n + 207. Let k be d(6). What is the hundreds digit of 1330 + -7 + (-2 - 1) + k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i**3 - 2*i**2 - 4*i + 1. Suppose -43*t - 159*t + 323 = -81. Let g(x) = 9*x**3 + 5*x**2 + 9*x - 3. Calculate t*g(p) + 5*m(p).\nAnswer: -2*p**3 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2228182137 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -295*t + 306*t - 9559 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -480*86.1.\nAnswer: -41328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**2 - 16*t. Let y(a) be the second derivative of a**4\/12 - 2*a. Give y(l(i)).\nAnswer: 4*i**4 - 64*i**3 + 256*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 3*f - 3. Let y(w) = w**2 + w - 1. Let s(h) = p(h) + 2*y(h). Calculate s(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w + 7. Suppose -96*i + 55*i + 697 = 0. Let r(c) = 6*c + 22. Give i*a(u) - 6*r(u).\nAnswer: -2*u - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y**2 + 11*y**2 + 14*y**2 + y**2.\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1075*j - 5*j**2 + 1 + 546*j + 571*j - j**3 as m*j + c*j**3 + d + p*j**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 253.849mg in tonnes?\nAnswer: 0.000000253849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(((-9)\/6)\/(-3)). Suppose 2*b = -x + 211, -3*b + 4*x = y*b - 508. What is the greatest common factor of b and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n**2 - 5*n + 5. Let h(c) = -3*c**2 + 2*c - 2. Let i be (-2)\/(-8) + (-2)\/8. Let f be (-10)\/2 - (i + -3). Calculate f*g(j) - 5*h(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31260250 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*0.047.\nAnswer: 0.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 4*w + 6. Let u be z(-4). Suppose u + 19 = -5*m. Sort 1, -1, m in descending order.\nAnswer: 1, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 1727.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 18*n - 671 = 0. Let h = n - -386. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 1. Let n(k) = -3*k**2 - 2. Let r(z) = -2*j(z) - n(z). Let x(u) = -u**2 - 6*u - 6. Let p be x(-4). Let f(b) = p*b**2 + 10 - 10. Determine f(r(d)).\nAnswer: 18*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 8 = m. Let f be m\/4 - (-18)\/4. Let -4*j**4 + 4*j**3 + 10*j**3 + 2*j**2 - 14*j**f + j**2 + j**2 = 0. What is j?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3939379 is divided by 318.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 37790*c + 31884. Let o(g) = 7537*g + 6377. Let r(t) = -2*n(t) + 11*o(t). What is the first derivative of r(x) wrt x?\nAnswer: 7327","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 8:16 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -8*d**3 - d**2 + 5*d + 5. What is y(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/42116 and 49\/92?\nAnswer: 968668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 1:01 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/848 and 13\/104*11\/((-539)\/1246).\nAnswer: 5936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 11:09 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -331394 divided by -23671?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -124 + 26?\nAnswer: -dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 31*u**2 + 36*u + 122. Determine n(-32).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.67 - 3.0252\nAnswer: -2.3552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**4 - 87 + 73 + 0*j**4 + 2*j**4 + 0*j**2 + 0*j**2 + (-2*j + 3*j + 0*j)*(-j**3 + j**3 - j**3).\nAnswer: -j**4 - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2252 + 629?\nAnswer: -1926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (-3 - (-1 + -2)). Suppose l - 19 = -4*q. Let a = -9 + 15. What is the remainder when a is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58017*l + 387878*l + 188302*l.\nAnswer: 518163*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/((-4095)\/70) + (-129)\/9?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 0 + -1438 + 1457 - -36?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9e0f (base 16) to base 13\nAnswer: 15557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/47)\/(l\/(l\/(l\/(l\/((l*l**(-1\/7))\/l))))) assuming l is positive.\nAnswer: l**(33\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*g + 5*l + 5, 5*g - 5*l = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -109 - -83. Let p(c) = -c**2 - 25*c + 33. Does 5 divide p(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 6 - 10. Let v be ((-911)\/(-1))\/((-6)\/(-1146)) + j. Round v to the nearest ten thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 94621 and 93866 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 4) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-6) - (-165216)\/(-33). Let z = -5010 - f. What is the common denominator of 43\/4 and z?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13 and 8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 371*f - 366*f + c, -c + 42 = 3*f. Let k(a) = 3*a**2 - 2*a - 2. Let z be k(-2). Which is smaller: f or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 11:54 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 12*o + 3*o - 10 - 19*o. Let n(g) be the second derivative of g**3\/6 + g**2 - 19*g. What is -3*h(f) - 14*n(f)?\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**3 - 33*m**2\/2 + 4*m + 27. Is g(12) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i + 289 = -217 - 40 for i.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 17. What is the second derivative of 6*t**a - 6*t**2 + 3*t**2 - 3*t wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 297*j**2*k*u**3 - 150*j**2*k*u**2 - 9*j**2*k - 45*j*k*u**3 wrt u.\nAnswer: 1782*j**2*k - 270*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l - 1. Let i be u(-1). Let d = 6 + -8. Let s be 12 + (d - 2) + -4. Solve -s*v + i*v = -16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.4, -0.36, 57, 2\/5, 83?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5*0.061\nAnswer: -0.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(4\/3)\/m**(-1\/3)*m\/m**(-2)*m**(5\/3) assuming m is positive.\nAnswer: m**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199251*v + 95*v**2 + 91*v**2 - 194*v**2 - 99627*v - 99624*v.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 + 59*t + 32. Let p be w(-38). Suppose -25*x + 18997 = -p. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*s - 44*s + 356 - 37*s + 163*s + 8*s**2 - 42*s.\nAnswer: 8*s**2 - s + 356","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f. Let d(h) = -2*h - 6. Calculate 2*d(m) - 2*l(m).\nAnswer: -2*m - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135308 is divided by 345.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -101 + 53. Let p be ((-3)\/2)\/(36\/r). Let o(w) = 0 - w + 5 - 4 + p. Calculate o(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 10*n**2 + 9*n + 5. Calculate the remainder when a(-9) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 171 divided by 3\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 5*o - 155. Give v(31).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88 - 11. Let c = s - -114. Calculate the remainder when 43 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06*-40.4364\nAnswer: 2.426184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 5*b - 401 - 781 = 0, -5*l + 4*b + 5968 = 0. What are the prime factors of l?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) -2\/9 (c) -204 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(115\/30 - 4). Suppose -7 = n*o - 79. Suppose -8*a = 6*a - 280. Solve -5*x - o*v + v - a = 0, -5*v - 15 = 4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 54266*m**3 - 27119*m**3 - 27122*m**3.\nAnswer: 25*m**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -56, -103, -148, -179?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**2\/7 + 9522*a\/7 - 57240\/7 = 0. What is a?\nAnswer: -3180, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*h + 144 + 141 - 424 + 8*h**2 + 60*h**2 + 138 to the form r*h + v + c*h**2 and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 24*g**2 + 24*g - 18. Let l be m(23). Let j(p) = p**2 - 3*p. Let y be j(3). Suppose y*q - l*q = 0. Solve q*c = 3*c - 9, 0 = 2*d + c + 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-20) - 22\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - ((-187)\/4)\/((-12)\/(-48)). Suppose 5*o = -25, h = x - o - 400. What are the prime factors of x?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -446 = 8*r - 9*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33911959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -19000 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (441\/(-245))\/((-27)\/180)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - 19. Let b = t + 45.16. Let u = -0.84 - b. Which is smaller: u or -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h**3 + 6*h**3 - 3*h**3)*(2 + 3 - 4 + (-2 + 4 + 0)*(2 - 2 - 1) + 193 - 291 + 154) + 4*h**3 + 4 - 4 in the form z*h**2 + y*h**3 + v + x*h and give y.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -76 + (41 + -22 - 60 - -22).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2d1 - -1?\nAnswer: -2d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22319.37kg in milligrams?\nAnswer: 22319370000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3*u - 29 = 0, -u + 2*u + 17 = 2*x. Which is the smallest value? (a) -0.4 (b) x (c) 4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*((s\/((s**(-1\/2)\/s)\/s))\/s)\/s))\/s*s*s**(6\/7) assuming s is positive.\nAnswer: s**(-9\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**4\/12 - 10*u**2 + 2. Let p(h) = 259*h - 259*h - 6 - 7*h**2. Determine p(j(v)).\nAnswer: -28*v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 + -42. Suppose f - 39 = t. Suppose -f = 5*o + 168. Is o greater than -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, m: 2}. What is prob of sequence mm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 7 = 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**10\/i*i**(-3\/7))**2*(i**(-7)\/(i*i**7))**(2\/107) assuming i is positive.\nAnswer: i**(14128\/749)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 1 + 15)*(2 - 3 + 3)*(-4*p + 4*p + 2*p)*(1 + 0 - 9) in the form m*p + u and give m.\nAnswer: -800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007994617 rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/47663 and 15\/4423993.\nAnswer: 48663923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18543815 and 130.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 2122866?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**3*s + 9*m**3*u**2 + 2*m**2*u - 8*s*u**2 - 3*s wrt m.\nAnswer: -6*s + 54*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 95 - 145. Let o(y) = 2*y**2 + 7*y + 21. Let j be o(-7). Let q = x + j. Solve q = 5*i - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1329, 2691, 4053, 5415, 6777?\n\"Answer: 1362*j - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*b + 28. Calculate the remainder when b is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 38?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 4. Let d(z) = -1. Let g(n) = 4*d(n) - h(n). Let r(f) = f**3 + 11*f**2 - 1. Let j be r(-11). What is g(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -2\/7, 0.6, 2, -20?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -139\/6*x**3 + 5\/12*x**4 - 5*x - 1\/5*x**5 + 0*x**2 - 16. Find the second derivative of m(c) wrt c.\nAnswer: -24*c + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16144828 to the power of 1\/2, to the nearest integer?\nAnswer: 4018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -206 * 0.5\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35975606?\nAnswer: 2, 43, 418321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -72, -168, -312, -510?\nAnswer: -768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 51 in -4, -6, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-190)\/(-616) + (-8800)\/1155 + 1056\/144?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a*b**2*l**2 - 8*a*b*l + 16*a*l**2 + 3*b**2*l wrt l?\nAnswer: -8*a*b**2 + 32*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 105.54 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 - 9 = -3*h. Let w be h\/(-9) - 5\/15. Is 20 a factor of (55\/w)\/((-2)\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 453 - 1693 = -2*h, 5*d + 2*h + 3121 = 0. Let k = d + 1214. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - sqrt(17)*3)*1*-4.\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/9)*p**(2\/17)\/p*(p\/(p*p*p**4))\/(p\/(p**(2\/11)\/p*p)) assuming p is positive.\nAnswer: p**(-11651\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - 5. Let v be w(-5). Let y = -4 - -8. Suppose 0*l - 8 = -y*l. Solve 5*m = -p + 10, v - l = -m + p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 9 = 6, 4*d = 2*p + 6. Solve x + 3*f - 1 + 15 = 0, -d*f = -x + 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - -46. Let u = t - 18. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 98*(156\/(-24) - (-7)\/1). Solve v*s - 39*s = -60 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 7:18 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 32 + -41 - (-13 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1821614 or -1821618?\nAnswer: -1821618","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-4)\/3*(-15)\/10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 6*y + 211. Let p be i(-36). Put 3, -3, p, 5 in descending order.\nAnswer: 5, 3, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10792 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: Suppose -2*d + 6*d = -5*f + 83470, 2*f - 2*d - 33406 = 0. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 60, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343240 is divided by 27.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 8) to base 5\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 8*a. Is p(15) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 9:24 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*o = 269 - 335. Solve -5*j - 12 = o*p, 7 = -0*p + p - 2*j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 4. Let y be r(4). Let z = 0 + -1. Sort y, -4, z in descending order.\nAnswer: y, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55321270 to the nearest integer?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 711\/99 - 4\/22. Let v(p) = -p**3 + 7*p**2 + p - 3. Does 4 divide v(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 40\/16)\/((-4)\/(-8) + -1). Sort 6, -50, n in decreasing order.\nAnswer: 6, n, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(68) + (sqrt(68) - (4*sqrt(68) + -3))**2 - (sqrt(68) + -2)*-1).\nAnswer: -1857 + 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5366*n**5 - 3512*n wrt n?\nAnswer: -107320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.056 - 0.069. Let c = q + -10.775. Let a = -4.1 + c. What is the closest to 2\/7 in a, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 36*f + 200. Determine m(-8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(8 + -6 - 3). Let p be 0*(a - -7)\/(-5). Solve -o - 2 = -p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 12416 - 12416 + 13*q.\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - -5. Suppose -20*d = -6*d - 42. Suppose d*w - 71 = x. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*j - 83*j - 44 = 0. Find the common denominator of -26 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/10 in 3, -106, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 40*l - 192. Let q be v(5). Suppose -4*o + 0 = q, -4*x - 2*o + 16 = 0. Solve -4*m + c - x = 3, 2*m = c - 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 2:08 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-24)*-3)\/(2\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -10*b + 5*b. Let g be (-18)\/2*21\/(-9). Let i = g - b. Calculate the smallest common multiple of 1 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00032126 to 6 decimal places.\nAnswer: -0.000321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.00599927 - 0.006. What is q rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*h - 197 = -81 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8929 >= 8950?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/6*0 - 4. Let f be 17\/5 - z\/(-10). What is the second derivative of r - f*r - r - 8*r - 10*r**4 wrt r?\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhhhhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*y + 4*s + 12 = -26*y, -2*y - 2*s - 6 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 31*x - 12. Let d be p(-16). Let v = d - 146. List the prime factors of v.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 24*l - 44. Let i(g) be the first derivative of 12*g**2 + 45*g + 4. Let f(v) = 3*c(v) + 4*i(v). Determine b so that f(b) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 144279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 14 = 86. Suppose 0 = -5*x - 9 + t. Suppose -r = x*r - 452. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**3 - p**2 + 1. Let l be d(1). Let w be -1 + -12 - (-4 - l). Let h(f) = -f**2 - 14*f - 17. Let b be h(w). Solve -5*u - 2 = -b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3416.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10730 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25124444 (base 7) in base 16?\nAnswer: 22766c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-168)\/8*198\/462?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k + 52 + 69 = 25*k for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.8 + 38.8. Let r = 30.95 - z. Suppose 0 = -2*y - 2*y. Sort y, 5, r.\nAnswer: r, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - -4. Suppose -16 = -2*i + 4*r, -3*i + 2*r = -r - 30. Suppose 10*v - 880 = -i*v. What is the highest common factor of v and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7541.\nAnswer: 7541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 + 36*w**2 + 50*w - 228.\nAnswer: -2*(w - 19)*(w - 2)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 7*f**3 - 3*f**2 - 2*f - 27. Let m(o) = -35*o**3 + 14*o**2 + 10*o + 136. Give -3*m(i) - 14*z(i).\nAnswer: 7*i**3 - 2*i - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-4)\/34 - 26\/68). Suppose -4*z + l*z = -3*z. Let 0*i**2 + 1\/4*i - 1\/4*i**3 + z = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/28 - 2\/((-8)\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, l: 1, t: 3}. What is prob of sequence twtt?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.69 - -0.89. Which is the smallest value? (a) -6\/5 (b) -2\/5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 6*q**2 + 2*q - 8. Let p be h(6). Let z = p - 3. Put 2, z, 4 in descending order.\nAnswer: 4, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12368\/5 >= -2473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s - 23718 + 20193 = 0. Calculate the remainder when 4370 is divided by s.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1240\/657 + -1\/657. Is -3 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28947107?\nAnswer: 7, 17, 41, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -1\/2*g**2 - 8 + 12*g. Let s be t(12). Solve -4*f - 1 = -2*j + j, -5*j + 3*f + 22 = s for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**5 + 2*c**5 - 4*c**5 + (0 + 2*c**3 + 0)*(3*c - c - c)*(20*c + 60*c + 42*c).\nAnswer: 246*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 421 - 391. Suppose -5*m + q*m = 0. Suppose -2*o**3 + 2*o - 2\/3*o**4 + m + 2\/3*o**2 = 0. What is o?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3 - 836*b**2 + 83032*b + 915920 = 0. What is b?\nAnswer: -10, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/28 - 167\/7. Let y = -10 - m. What is the smallest common multiple of y and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (38\/(-6))\/(4\/12). Let t = -14 - o. Suppose y - 3 = 0, y - 3*y - 14 = 5*g. Put 0, t, g in ascending order.\nAnswer: g, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1690.08 + -1652. Let g = m - 37. Round g to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of z**5\/40 + 58*z**3\/3 - 15*z + 2. Let t(f) be the second derivative of p(f). Let v(j) = 4*j - 5*j - 3*j. Calculate t(v(k)).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from ejeeejeeezjjj?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**16*p**(1\/2))**(-48) assuming p is positive.\nAnswer: p**(-792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -42298089 or -42298084?\nAnswer: -42298084","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/276 and -55\/56.\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**2\/7 - 15*z\/7 + 16\/7 = 0. Calculate z.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**5 - 184*m**4 - 6709*m**3 + 176510*m**2 + 572000*m - 16900000 = 0. What is m?\nAnswer: -100, -10, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s**3 - 3*s + 5*s**3 + 2*s**2 - s + 3*s + 2 + 0*s**3 to the form o*s + p + i*s**3 + m*s**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z**3 - 13*z**2 + 19*z + 3. Let m be p(8). Let v(l) = m - 2395 - l. Let i(f) be the first derivative of 4*f**3\/3 + 2. Determine v(i(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 5*m - 4. Suppose -5 = -3*s - 14. Let n be c(s). Let -35\/2*x**3 + 2 - 14*x + 59\/2*x**n = 0. What is x?\nAnswer: 2\/7, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13501 - 13707. Is m less than or equal to -196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 1:30 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-1252)\/(-1565))\/(1\/(-20))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -6*t - 188. Give g(-32).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 29045, 58094, 87143, 116192, 145241, 174290?\n\"Answer: 29049*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, 18, 110, 248, 438?\nAnswer: 686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21 and -0.023931?\nAnswer: -0.502551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*t - 13711 - 22010. Is t a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 0 = -q. Let o be (5\/(-75))\/((-7)\/(-35)). Which is bigger: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 0)\/((-8)\/20). Let y = 42 + -32. What is the highest common factor of b and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7558111.65 to the nearest 1000.\nAnswer: 7558000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (340\/(-1190))\/((-4)\/112).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 4, -11\/20?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1054 + -8429\/8. What is the nearest to 0.1 in -1\/2, -0.03, c?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 0 - 4 + 4 - s. Let t(f) = -13*f**2 - 11*f. Let k(v) = 7*v**2 + 6*v. Let m(r) = -11*k(r) - 6*t(r). Determine a(m(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 9\/10 of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20130 by -61.\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(17) + 5)*-3*-4 + (sqrt(612) + (sqrt(612) - (sqrt(612) - (sqrt(612)*-1*-6 + sqrt(612)))) - sqrt(612) - sqrt(612) - 1*sqrt(612)*6)**2.\nAnswer: 12*sqrt(17) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cbcnc. Give prob of sequence cbn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 264203 or 14002723\/53?\nAnswer: 264203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 28932.5586 to the nearest 10.\nAnswer: 28930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**2 - 22643*l + 22643*l + 199 to o*l**2 + k + w*l and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 11. Let u be i(-9). Suppose 2*y = -u*y + 12. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -8*y + 8. Suppose 0*o - y*o - 4 = 0, -5*v - o = -312594. Suppose -6*q - v = 177481. Round q to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((-4*sqrt(200))\/sqrt(10))\/sqrt(4) - -2*(sqrt(320) - (sqrt(320)*-3 + 4)))**2.\nAnswer: -1560*sqrt(5) + 18169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004453 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -176 - -173. Which is the smallest value? (a) 0.02 (b) -2\/5 (c) f (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 61 - 21. Suppose -3 = 3*s - 4*r + w, 20 = 4*s + 4*r. Calculate the common denominator of s - ((-65)\/8 - -3) and 119\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u - 6. Let j(q) = 2*q - 2. Let o(l) = -a(l) + j(l). What is o(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2876 + -1873. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h - 2610 = -29*h + 2*h. Calculate the least common multiple of 1740 and h.\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9201 rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**5 - 5*f**4 - 236409*f**3 - 11*f**2 - 521*f.\nAnswer: -60*f**2 - 120*f - 1418454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 51*t**2 - 9*t - 4. Let w(o) = -103*o**2 + 17*o + 9. Let h(u) = 9*s(u) + 4*w(u). Find the second derivative of h(n) wrt n.\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 23*w**2 - 61*w + 906. Determine c(24).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -13*t - 5. Let x = 22 + 65. Let n(i) = 45*i - 2 + 36*i - x*i. Let r(o) = -6*o - 11. Let b be r(-3). Calculate b*n(f) - 3*q(f).\nAnswer: -3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i = -77 + 21 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pssjpsssjsjpssps. What is prob of picking 2 s and 2 p?\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -8*c**2 + 7*c - 16. Let z(s) = s**2 - s + 1. Let y(x) = -p(x) - 2*z(x). Is 21 a factor of y(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -2\/9853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 10. Let k(b) = -2*b - 12 - 14 + g. Let p be k(-17). Let u(r) = 5*r**2 - r. Let n(h) = -9*h**2 + 2*h. Calculate p*u(o) + 6*n(o).\nAnswer: o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 80254257?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 14878532, 3 in increasing order.\nAnswer: 1, 3, 14878532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of w**7\/504 - w**5\/120 - w**4\/6 - w. Let g(m) be the third derivative of r(m). What is the derivative of g(s) wrt s?\nAnswer: 10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288983 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 454663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.29938 years to decades.\nAnswer: 0.429938","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1119696441639 - 107.\nAnswer: -1119696441746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 246 + -233. Suppose -18*b - 5*x = -q*b + 5, -3 = -2*b - x. Solve -8 + 4 = b*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h**3 + 5*h**2 - 7*h + 5. Let y(z) = -6*z + 3*z + 2*z + 4 + z**3 - 5. Let b(o) = u(o) - 2*y(o). Let v be b(-6). Do v and -0.15 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 391325042?\nAnswer: 2, 109, 283, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w**2 + 41*w + 33. Let k(z) = -16*z**2 + 135*z + 99. Determine -4*k(v) + 13*r(v).\nAnswer: -v**2 - 7*v + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-1056\nAnswer: -1055.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 147*g**4\/5 + 10668*g**3\/5 + 193548*g**2\/5 = 0.\nAnswer: -254\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-45)\/(-24) - 34\/136.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*2\/(-2)*20\/25?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d + 6. Let j(h) = -h**3 + 2*h**2 - 1. Let v be j(1). Let z be c(v). Suppose 4*u + 72 = z*u. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 5. Suppose 0 = 7*l - x*l + 160. Let p = -50 - l. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 292 divide 139868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-4))\/75*-3\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*(u\/u**(3\/8))\/u*u)\/u)**38)**28*(u\/(u**(-9)\/u*u)*u\/(u\/(u\/(u**(3\/2)*u))))**4 assuming u is positive.\nAnswer: u**699","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -631 + 30922\/49. Let t be ((-13)\/39)\/(2\/6). Which is smaller: t or l?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05873 and -0.709.\nAnswer: 0.04163957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (567*g - 226*g - 259*g)*(0*g + g - 5*g) as r*g + w + q*g**2 and give q.\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (154\/(-55))\/(12\/(-30))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -12*l - 9 + 1 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/5)\/(31\/40920*-36)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1445 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2240173253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 47607?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - 0. Let v(f) = -89 + 4*f - 3*f + f + 177 - 78. What is v(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*y**5 - 3*y**5 - 2*y**5 + 3*y**4 - y**5 - 3*y**4 + (-3*y**4 + 2*y**4 + 3*y**4)*(3*y - 3*y - y) + y**5 - 3*y**2 + 3*y**2.\nAnswer: -y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**5\/3 - 3*i**4\/8 - 11*i**3\/3 + 43*i**2. Is r(5) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -360 (base 8) in base 9?\nAnswer: -286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 87\/2 of a milligram?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 787*g**3 + 2*g**2 - 2278*g**3 - 3249*g**3 - 4 - 2*g. Let i be w(-3). What is i rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 53 + -37. Suppose 4*z + 4 = 12. Let y(o) = -o - 1. Let p be y(-3). Solve -z*s - p*s + c = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-5))\/(-3)*15*2. Suppose 7*z + 1095 = c*z. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**5\/5 + 276*i**4\/5 - 6066*i**3\/5 - 12972*i**2\/5 - 6627*i\/5.\nAnswer: -3*i*(i - 47)**2*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 104297 or 104298?\nAnswer: 104298","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 26 = -3*d, -90569*t = -90573*t - 2*d + 16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -218.2 + 218.3427. Let y = 0.14 - n. What is y rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of m**4\/4 - 3*m**2 - 3*m + 2. Let c be v(3). Are c and -5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -90 <= -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * 0.06046\nAnswer: 0.054414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -3495.24 to the nearest ten.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/350 and 32\/4193?\nAnswer: 209650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2060035921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 111.1 - 131. Let x = -20 - a. Sort x, -2\/11, -7 in increasing order.\nAnswer: -7, -2\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*y = 28, f - y - 2*y - 52 = 0. Suppose -268 = -16*p + 52. What is the highest common factor of p and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(5*(-6)\/120)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 720507789?\nAnswer: 3, 5683, 14087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((18\/325)\/(6\/20))\/(2404\/3005)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8487 + 9183. Calculate the highest common divisor of 1653 and o.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of 27*k**8\/56 + 73*k**4\/6 - k - 22. Find the third derivative of i(s) wrt s.\nAnswer: 3240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.65255969 and -0.18423?\nAnswer: 0.83678969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(99 - 13*c**2 - 99).\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 12) in base 5?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (8 + -5)*14\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -103 - -102.62. Sort -3, k, 4 in increasing order.\nAnswer: -3, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4288 divided by -2\nAnswer: -2144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z + 405 = 19*z. Suppose -z*c = -147*c + 240. Solve -11*d = -6*d + c for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208550128 rounded to the nearest one million?\nAnswer: 209000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3350355455 to the nearest integer?\nAnswer: 57882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 255, 569, 1009?\nAnswer: 1575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -5 (b) -0.2392 (c) 0.14 (d) 0.8 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 18*h - 29. Let f = -99 + 101. Let b be k(f). Solve 4 = -b*s + 5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8794, 8848, 8922, 9016, 9130, 9264?\nAnswer: 9418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5157616154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 87566.61t in milligrams?\nAnswer: 87566610000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4\/4 - 3*h**3\/4 - 9*h**2\/2.\nAnswer: 3*h**2*(h - 3)*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-88)\/84 - ((-6)\/(-21) + 0).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 1 + 41 = 4*d, -d + 5*v - 17 = 0. Suppose 20*g = 18*g + d. Suppose 92 = 5*u + 2*w, -3*u - 5*w = -g*u + 40. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*g = 3*b - 344, 0 = -4*g - 2*b + 276. Let h = 98 - g. 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: Let x(l) = 5*l**2 - 6*l - 15. Suppose -11*q = 52 + 3. Let p be x(q). Suppose -3*a = -5*a + p. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64711 divided by 163\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g*v**2 + 2*g*v - 958544*g + 18*v**2 - 2*v wrt v.\nAnswer: 4*g*v + 2*g + 36*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 44*f**2 - 227*f + 68. Let z be x(6). What is the highest common divisor of 3132 and z?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 207 and 0.5?\nAnswer: 103.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23613557.\nAnswer: 11, 2146687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (30 - (15 + -8)) + -9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.16, 428\/3, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 952*d**2 - 2*d. Let s(y) = -2297 + 13*y + 2297 - 18*y. Give s(a(f)).\nAnswer: -4760*f**2 + 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 5 - 4)*(6 - 6 - g) - 996*g + 496*g + 553*g to the form j + y*g and give y.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -53804*r + 19. Let j(l) = 3*l. Give w(j(g)).\nAnswer: -161412*g + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 5*h + 6. Let g be o(-5). Suppose -g*n = -2*n. Let w be ((-3)\/4)\/(6\/(-24)). Solve -4*u - 1 - w = n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 divided by 54.\nAnswer: 31\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 7 - 76 = 4*t, 2*x = -5*t - 67 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -398 and -0.5?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/6)\/((-3)\/9). Let o be (w\/(-3))\/(174\/108). Let g = 4\/261 + o. Which is the second smallest value? (a) -5 (b) -5\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 14*s**3 + 6*s**2 + 11*s - 26. Let o(w) = -3*w**3 - w**2 - 2*w + 5. Give 2*j(c) + 11*o(c).\nAnswer: -5*c**3 + c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1085 and 0.022392?\nAnswer: 24.29532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 663*j - 655*j = 48 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 21 (b) -0.3 (c) -2\/5 (d) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -211, -469, -765, -1099, -1471, -1881?\nAnswer: -2329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62\/11 - 281\/44. What is the third smallest value in m, -1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*f - 24*f + 5*s + 2, 2*s = -3*f - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 11*q**2 - 2*q**2 + 20*q**2 + 22*q**2.\nAnswer: 29*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/2*((-66)\/(-1))\/3. Suppose -k*c + 184 = -14. Suppose 3*o + 2*o - 50 = 0. What is the remainder when c is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + w - 1)*(-1 + 3 + 0) + 4*w - w - 6*w)*(330 - 204*w - 330) to k*w + a + y*w**2 and give y.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/4 + 2\/(-8). Let h = -71 - -72. Differentiate 0 + h + z*v + 4 with respect to v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*s*x**5 + 122*s*x**4 + 2855*s + x**2 wrt x?\nAnswer: -1320*s*x**2 + 2928*s*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/134, -26, -6\/131 in descending order.\nAnswer: 3, -1\/134, -6\/131, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 0.3, 0, -2\/27 in decreasing order.\nAnswer: 4, 0.3, 0, -2\/27, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 1484.\nAnswer: -7420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3760107.\nAnswer: 3, 13, 67, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 26998493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p\/p**5*p)\/p**(-3\/2))**(-29))**(4\/11))**(-27\/2) assuming p is positive.\nAnswer: p**(-783\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 7*v - 1402 = -3*u, -5*u - 3*v + 2298 = 0. Suppose -u - 45 = -13*w. Solve 7*c = -6*c + w for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4365\/(-336105)*33\/(-10).\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*a + 129 + 114 = 75 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -100011100000101101?\nAnswer: 100011100000110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 62*b**2 + 11*b - 11. Let p(k) = -k**2 + k - 1. Let z(i) = 2*m(i) - 22*p(i). Let x(u) = 18*u**2 - 6*u**2 - 13*u**2 + 3*u**2. What is z(x(g))?\nAnswer: 584*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 4*s + 260, 5*h = -4*s + s - 650. Let n be 1\/2*3\/((-15)\/h). Solve 0 = 4*d + n + 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 - 2*c**2 - c**2 + (-c + 4*c - 4*c)*(2*c + 0*c - c) - 14*c**2 - 12*c**2 + 11*c**2 + c**2 + 4*c**2 - 2*c**2.\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + 354\/36)*(-4)\/3.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 744112650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 301 - 281. Solve -4*o = -5*u + g, 2*o + 8 = -u - 2 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 9, -3, 5 in ascending order.\nAnswer: -3, 5, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -162 + 104. Let y be 12\/(-54) - q\/18. Which is the third smallest value? (a) y (b) 4 (c) -1 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**3 - 4 - 17*h**2 + 1 + 2 in the form r*h + c + v*h**2 + l*h**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2*h**3 + 21*h**2 + 4*h - 58. Calculate f(-8).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154141, -154170, -154219, -154288, -154377, -154486?\nAnswer: -154615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 9. Suppose -49 = 186*b - 196*b - 9. Let m(n) = n - 8. Calculate b*m(a) - 3*r(a).\nAnswer: a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 - 9*y. Let a be s(6). What is the tens digit of (12\/(-2))\/2 + a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*4*sqrt(65)*4*-5)\/((sqrt(500) + sqrt(500)*2)*-3 - (6*(sqrt(500) - (sqrt(500)*-2 - sqrt(500))) - sqrt(500))).\nAnswer: -3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/10 + (16539\/(-28638))\/((-10)\/(-6))?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 20, 5, 1\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.036 from -890453941.\nAnswer: -890453941.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76 + -143. Let g(m) = 24*m**2 + 2*m + 4. Let a be g(-4). Let h = a + l. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(-2)*(-120)\/100. Let n be r\/((-36)\/8) + -4. Is (n + 111)\/(0 + 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/9, 0.5, 53, 3\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 906*q + 5. Let g(t) = 4519*t + 28. Calculate -2*g(p) + 11*h(p).\nAnswer: 928*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1476)\/4592 - (3\/(-2 - 7))\/((-7)\/(-12))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3871 (b) 0.5 (c) 3 (d) 7 (e) 0.1 (f) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 + 4124270*b - 20621400.\nAnswer: 2*(b - 5)*(b + 2062140)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5316 + 5318. What is the closest to -25 in -0.5, s, 25, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2933 - 6493\/2. Let c = j + 325. What is the common denominator of c and 49\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6011*n = -1553*n - 476532 for n.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-4)\/((-36)\/3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17615077 (base 8) to base 3\nAnswer: -21210002211012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30557*t**3 + 15407*t**3 + 15484*t**3.\nAnswer: 334*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 30583 a multiple of 257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 3, -61 in increasing order.\nAnswer: -61, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.096 + 0.694. Let r = 0.79000235 - s. What is r rounded to 7 decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 48\/29, 0.5, -6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -113133120 (base 4) to base 10\nAnswer: -96216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*w - 7*w - 7*w**4 - 6*w wrt w?\nAnswer: -84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**4\/4 - 140*n**3\/3 + 4311*n**2\/2 - n - 3595. What is the second derivative of d(q) wrt q?\nAnswer: -6*q - 280","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5289862?\nAnswer: 2, 23, 114997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 6*z - 3. Let y(x) = -x + 1. Let d(o) = -11*o + 8. Let l(c) = d(c) - 4*y(c). Determine 3*h(k) + 2*l(k).\nAnswer: 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 + 7*q**2 - 31 + 15 + (4*q - 3*q + 0*q)*(0 - 2*q + 0) to the form k*q + x + a*q**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(245)*2 + (6*-3*sqrt(5))**2 + -1.\nAnswer: 28*sqrt(5) + 1619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 297\/(-396)*(5 + 15).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 321415 (base 8) to base 11.\nAnswer: 73665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/4)*m**(-1\/10)*m)\/(m**(-2\/3))**(3\/2))\/((m*m*m**(-1\/5)*m)\/(m\/(m*m\/(m\/(m**3\/m))))*(m*m**(-1\/3))**(-44)) assuming m is positive.\nAnswer: m**(1571\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, g: 1, f: 1, y: 1, m: 2}. What is prob of sequence ym?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of 18\/5*b**5 + 20\/3*b**4 + 14\/15*b**6 + 2\/21*b**7 + 0 - b + 0*b**2 + 16\/3*b**3. Solve y(j) = 0 for j.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 3:38 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -591 + 590.9. What is the closest to r in -1\/22, -5, 1\/5?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44568 or 44549?\nAnswer: 44568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 14179?\nAnswer: 28358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 + 0.3. Let m = 9991 + -9990.8. What is the second smallest value in -5, q, -1\/9, m?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -47, -93, -147, -209, -279, -357, -443?\n\"Answer: -4*v**2 - 34*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 45640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -3837.5903002.\nAnswer: -3832.5903002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 4 + -1 + 24 + -26. Suppose v*i - 245 = i. Let j = -58 + i. List the prime factors of j.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(0*q + 0*q + 2*q) + 42 - 23*q - 42 + 4*q + 0*q - 2*q + (-6*q + 3*q + 4*q)*(0 - 5 + 6) + 2*q + 0 + 0.\nAnswer: -22*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 28394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/9 + 10648*i\/3.\nAnswer: 2*i*(i + 15972)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 632 at most as big as -0.060689?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 143, 192, 241, 290?\nAnswer: 339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -36263.12\nAnswer: 36268.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7494427141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 45 + 39 - 24 - 63*x**3.\nAnswer: -63*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146433 is divided by 8478.\nAnswer: 2307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-166 + 91 - 128)*(-n - n + 4*n) + (2 - 2 + 2)*(n + n + 0*n) + 0*n + 0*n - 5*n.\nAnswer: -407*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ifnpjpif. What is prob of sequence nnfi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -212 + 597*y - 187*y + 736*y + 212 to the form t*y + o and give t.\nAnswer: 1146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*c**2 - 23*c**2 - 6*c**5 + 15*c**2 - 7*c**2 wrt c?\nAnswer: -360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 4 = -10*r. Let g(u) = u + 4*u - 4*u + 2*u**r. Give g(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22083?\nAnswer: 3, 17, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -12*p**3 + 8*p**2 + 4. Suppose -n = -4*n - 12. Let d(y) = -11*y**3 + 8*y**2 + 5. Let t(b) = n*d(b) + 5*q(b). Find the third derivative of t(r) wrt r.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129372855 is divided by 631087?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23760 = 15*q + 25*q. Suppose -44*l = -35*l - q. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2643535 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 6*z**3 + 64*z**2 - 62*z. Let g(q) = 2*q**3 + 22*q**2 - 21*q. Let y(b) = -8*g(b) + 3*o(b). Factor y(m).\nAnswer: 2*m*(m - 1)*(m + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-5) - (-4 + -1 + 1). Suppose -4*i - 60 = -2*b, 3*b - 24 = f*b + 4*i. Calculate the least common multiple of 6 and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 256 = 39*w - 4*v, -3*w + 3*v = -0*w + 2*w + 33 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 3 - 9 + (0 + 0 - 1)*(1 + 1 + 0) - 1 + 1 - 1 + (1 + 2 - 2)*(-1 + 2 + 0))*(-2*m - 2*m - 3*m) as k*m + d and give k.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/30)\/((-8)\/16)*-1.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/3 + 1874*k\/3 - 63960.\nAnswer: -2*(k - 820)*(k - 117)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.1574 times -3?\nAnswer: -87.4722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -117*t**2 - 7*t + 1362 - 2695 + 1333 in the form c*t**2 + f*t + m and give c.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*m**2 + 1 + (-1 + 1 + 2*m)*(-4*m + 3*m + 3*m) - 2*m**2 + 0*m**2 + 3*m**2 + (-m + 2*m + 0*m)*(0*m + 0*m + m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2565*i - 2. Let c(v) = -855*v - 1. Give -8*c(u) + 3*w(u).\nAnswer: -855*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.4 - 1.31. Let m = -5.09 + x. Which is the nearest to 2? (a) -0.8 (b) m (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29 - 21. What is the remainder when (-3 + (-13)\/(-4))*92 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/384 and -163\/4752?\nAnswer: 38016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -71*z**4\/6 + 1649*z**2. Let a(i) = -5*i**2. What is f(a(j))?\nAnswer: 1420*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*b - 42*b - 6683 = -2648 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*g + 43*g + 317 = 5*b, -5*g - 2*b = -1562. What is the least common multiple of g and 66?\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 41 + 179. Let p = q + 313. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10642221 + -1?\nAnswer: -10642222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2949*m**2 - 15*m + 5. Let k(l) = -2948*l**2 - 12*l + 4. Give 4*i(y) - 5*k(y).\nAnswer: 2944*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 3*i**4 + (2*i + i - i)*(i**2 - i**3 - i**2) - 3*i**4 + 3*i**4 + i**4 + 0*i**4 + 0*i**4 - i**4 + 0*i**3 + 0*i**3 + i**4.\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1078 (base 14) in base 7?\nAnswer: 11211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -21, 2\/15, 3, 11.\nAnswer: -21, -8, 2\/15, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 133063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2 - 15*u - 32. Let q(b) = -b**2 + 9*b - 8. Let c be q(6). Is g(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**3 - 8*h**3 + 2 + h**3 as m*h**2 + g*h**3 + t + x*h and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8652 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 8*u**2 - 10*u + 9. Determine q(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.53464261 + -0.39313839. Let t = x + -0.079019. Let d = -16 - t. Round d to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*m**2 - 159*m**2 + 327*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 122 + -15. Let p = h - 107.4. Let x(z) = -z + 6. Let j be x(6). Which is the third biggest value? (a) -5 (b) 2\/19 (c) p (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**6\/12 - 7*g**4\/24 + 6*g**2. Find the second derivative of t(c) wrt c.\nAnswer: -60*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 + 71 - 138 + 16*f.\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 4*n + 3. Let o(z) = 3*z + 3. Suppose -7*l = -5*l. Let b be l - (-4 - -3*2). Calculate b*y(u) + 3*o(u).\nAnswer: -2*u**2 + u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 5*j**2 + 6*j + 10. Let d be m(-3). Let q(u) = 343*u - 32. Is q(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 17*c - 2. Let o = 587 - 585. Give h(o).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3967446 divided by 21?\nAnswer: 188926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 + l**3 + l**2 + l**2)*(l + 0*l + l + (2*l - 4*l + 4*l)*(-3 + 5 - 1) - 1 - 2*l + 1).\nAnswer: 2*l**4 + 10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 3*k**2 + 1\/15*k**5 - 52*k + 12*k**3 - 11\/6*k**4 + 0. Factor v(z).\nAnswer: 4*(z - 9)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*m + 17 - 7 = -16 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11342.79 - 6328047.8\nAnswer: -6316705.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/6)*x*x\/(x**(2\/3)*x)*(x*x*x\/((x*x\/(x\/(x\/(x*(((x*x**5)\/x)\/x)\/x))*x)*x)\/x)*x)\/(x\/((x\/(x**(-2\/17)\/x))\/x)*x))**(-14\/5) assuming x is positive.\nAnswer: x**(-315\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 z, and 1 d when four letters picked without replacement from {z: 1, r: 1, f: 1, d: 1, y: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.9 and -137462?\nAnswer: -261177.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(11) + sqrt(11)*1) + sqrt(6)\/sqrt(3) + 5)**2.\nAnswer: 15*sqrt(2) + 59\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/88 and 101\/56?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 28, 122, 280, 502, 788?\n\"Answer: 32*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1513 (base 9) to base 15.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 5*n**2 + 10*n + 2. Let t be c(-4). Find the common denominator of ((-9)\/t - 6\/12)*-21 and 17\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*((sqrt(1100)*2 - sqrt(1100)) + (sqrt(55)\/sqrt(5) + 2)**2) + -2.\nAnswer: 58 + 56*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*c = 7*q, -2*q - 2*c = 0. Let h = -2.345 + 0.045. Let m = 0.3 + h. Which is smaller: q or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*x**2 - 49*x**2 - 116 + x + 125 - 2*x**3 as l + u*x + w*x**2 + c*x**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 66 = 18. Suppose 0 = -0*v - h*v + 180. Suppose 0 = -2*n + 8 + 46. What is the remainder when n is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 21*x**2 + 24*x + 16. Is s(22) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 9 = 3*b - 6*b, 4*b = 5*l - 23 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -6, 0.1, -15, 1, -0.23?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -17*v**3 + 7*v**2 + 11*v. Let h = -28 + 17. Let b(t) = 9*t**3 - 4*t**2 - 6*t. Let o(r) = h*b(r) - 6*a(r). What is the third derivative of o(f) wrt f?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 51 - 552*k + 267*k + 267*k - 51. Let d(h) = 105*h + 27. Let s(c) = 8*c + 2. Let t(v) = -2*d(v) + 27*s(v). Determine t(p(u)).\nAnswer: -108*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1184.174 + -182.828.\nAnswer: -1367.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and 36\/37 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -42*o**3 - 2*o**2 + 1. Suppose 3*g = -g - 4. Is 14 a factor of i(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + -9 + (-44)\/(-4). Let y(h) = -h**2 + 2*h + 24. Let b be y(o). What is the tens digit of (b - 2) + -1 - 42\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*i = -40988, 4*i - 5*i - 2 = 0. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*d - 23*d - 66*d)*(-1 + 2 + 1)*(d**2 + 2*d**3 - d**2).\nAnswer: -552*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**3 - 14*a**2 - 15*a + 18. Let o be d(-6). Solve 4*y = -2*k - 28 + o, 3*y = 5*k + 32 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 2, -0.12?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 165*-158.08\nAnswer: -26083.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3456 - 3456 + 8*s**2 to t*s + l + f*s**2 and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**3 + 3*t**3 - 5*t**3 - 2 - t + t**3 as m*t**3 + b + d*t**2 + v*t and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505530073.\nAnswer: 47, 139, 223, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -t**4\/24 - t**3\/2 - 4*t**2. Calculate f(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j - 1. Let o be u(-5). Suppose -y - 6 = y - 4*l, y - o = -l. Suppose 0*f = -3*h - 4*f + 67, -10 = y*f. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1081 and 3.7.\nAnswer: -1077.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 17.25204kg?\nAnswer: 0.01725204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 3 = -6*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 1849345383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/120 and -7\/150?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 + 26 = 14*w. Let p(z) = z**2 - 8*z + 5. Give p(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 10 = 5*d, 4*d - 7*n = -2*n + 45. Let q = -1 - -2. Suppose -2 - q = -m. What is the remainder when d is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y - o + 16, -o = 3*y + 172 - 184 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 6:39 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/4)\/(8\/32). Suppose -104 = -j*i + 76. Suppose 0 + 8 = 2*s - 3*q, -5*q = 4*s - i. Solve 3*u + s = l, -5*l - 4*u + 2*u = 18 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 846 + -846. Put m, 1, -651 in descending order.\nAnswer: 1, m, -651","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -5, -2\/13, -1, -2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1815599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r. Let g(o) = 9*o. Let w = -16 - -16. Suppose -4*h + h + 12 = w. Let z(s) = s. Let i(q) = h*z(q) - g(q). Determine i(u(v)).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 10:21 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -231, -453, -631, -741, -759, -661, -423, -21?\n\"Answer: 4*n**3 - 2*n**2 - 244*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**4 - 7 + 7 + 129*o**4 + 844*o**4 - 522*o**4 + 2*o + o**4 - 2*o + (-o**3 + o**4 + o**3)*(3 - 6 + 4) as k*o**2 + f*o + t + l*o**4 + h*o**3 and give l.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**2 - t. Let u be r(1). Put -1, u, 21, -5 in decreasing order.\nAnswer: 21, u, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27174681?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (1 + 5 - (0 + 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*j\/j**(-3\/2)*j)*j)**46\/((((j*(j*j**(-1)\/j*j)\/j)\/j)\/j)\/j)**(33\/5))**(4\/7) assuming j is positive.\nAnswer: j**(-984\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 730501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*n - 64 - 1. Suppose 2*f - 3*v + 2 = 14, 16 = 3*f - 5*v. Solve f - 37 = -n*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -60?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2646779.2 rounded to the nearest 1000?\nAnswer: 2647000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 8. Suppose -2*y = 2 - 6. Suppose -l = y*l - j. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 741948*-0.54.\nAnswer: -400651.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 4913196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -79530 equal to -79531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 340 and 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-5) + 9\/((-90)\/4). Suppose -3*u + 4 = -g - h, u - 4 = -g. What is the third derivative of 6*v**2 + 8*v**u + 3*v**3 + v**3 + 4*v**3 wrt v?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h**2 - 267*h - 1280. Determine m(0).\nAnswer: -1280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 356 = -18915. What are the prime factors of l?\nAnswer: 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2502128 by 4.\nAnswer: 625532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 837*h = -833*h + 15, -5*y + 8*h = -39 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -0.0763.\nAnswer: 0.00763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -410, -371, -314, -245, -170, -95, -26?\n\"Answer: -u**3 + 15*u**2 + u - 425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31 by 6.\nAnswer: -31\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-2)\/4*19\/(-1). Suppose 5*d - 15 = -2*w + 4*w, -z = 4*w + d. Let b be (-44)\/(-10) + ((-27)\/5 - w). Solve 3*l = -4*m + 8, b*m = -4 - 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 934*z**2 + 160*z - 40. Is f(5) a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5814*j + 1474?\nAnswer: -5814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2158449978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4029 + 20083\/5. Find the common denominator of 13\/28 and k.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(624) - (sqrt(624) - -2*sqrt(624))) + sqrt(624) + sqrt(624))\/sqrt(12) + -2*sqrt(52)*2)\/(sqrt(16)\/(sqrt(300)\/sqrt(3))) + 4 + -5)**2.\nAnswer: 40*sqrt(13) + 5201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 25*b**3 - 48*b**2 + 14*b + 6. Let a(f) = 100*f**3 - 190*f**2 + 55*f + 25. Let l(q) = -6*a(q) + 25*g(q). Determine d, given that l(d) = 0.\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 345261 and 224147.\nAnswer: 269648841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**4 + 83*k**3 - 84*k**2 = 0.\nAnswer: -84, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 5. Let r be g(4). What is the remainder when 7 is divided by (6\/r)\/((-3)\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 49 = 6*n, 5647*x - 5650*x = -5*n + 35 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllssslsssslsssslss. What is prob of picking 1 s and 3 l?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/121 and -67\/748?\nAnswer: 8228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + f - 8. Let o be a(0). Let b(x) = 6 + 3*x**2 - 76*x - x**3 - 12*x**2 - 52*x - 51*x + 171*x. Give b(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.2 (c) 3\/49 (d) 4\/25 (e) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a day in minutes?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -4*w**5 + 720*w**4 + 1488*w**3 - 5824*w**2 = 0?\nAnswer: -4, 0, 2, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -970*w. Let j(i) = 8*i. Let f(v) = 3*v. Let c(x) = -3*f(x) + j(x). Give n(c(o)).\nAnswer: 970*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 926559 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181537473 - 90768740 - 36*s - 90768733.\nAnswer: -36*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - s - 2*s - 172 + s.\nAnswer: -3*s - 172","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v**2 - 4*v**2 + 0*v + 2*v**2 + v as w + m*v + r*v**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and 0.104713976140269?\nAnswer: 2.895286023859731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.1 + 13. Which is the second smallest value? (a) 5 (b) -2\/21 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 + (9 - 45) + -9\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.48 and -272380.2755673.\nAnswer: -272380.7555673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - n + 5*j + 39, 0 = 3*n - 2*j - 78. Let b be (2\/(-5))\/(2\/(-10)). Suppose d - 4*h = 24, -b*d - 4*h + n = -d. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*308594371\nAnswer: 1542971855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b + 0*b + b**3 + 417*b**3 - 317*b**3 + 135*b**3 + (-2 + 0 - 3)*(0*b**2 + 0*b**2 - 2*b**3).\nAnswer: 246*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -55b (base 12) in base 13?\nAnswer: -48b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + d**2 + 27. Let a be g(0). Suppose -a = -w - 87. Let o = w - -110. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1203202 (base 4) to base 10\nAnswer: -6370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvgbvgibvbbvvvivgiiv. What is prob of sequence bbg?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (-2 - (-15 - (-2 - 1) - 1))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**4 - 648*o**3 - 3339*o**2 + 5268*o + 7956 = 0. What is o?\nAnswer: -6, -1, 2, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 60 = 67*x - 71*x, 0 = 4*x - 8. Calculate the greatest common factor of m and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 4 (b) -0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78533579.\nAnswer: 149, 527071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-13 + (7 - 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - -20.31.\nAnswer: 34.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 (base 12) in base 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0, 1438, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46813?\nAnswer: 13, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2472 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 + 34. Let w(a) = -g*a**2 - a**2 + 6*a**2. Let s(l) = -l - 25. Give w(s(r)).\nAnswer: 2*r**2 + 100*r + 1250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 46491000 divided by -600\nAnswer: -77485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -2) + 0 - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/390305 and -21\/82415.\nAnswer: 20686165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 - c**2 - c**2 + 3*c**2 - 124299*c**3 + 124077*c**3.\nAnswer: -222*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 29*h**2 - 23*h + 663. Let j(k) = -28*k**2 + 16*k - 664. Let a(m) = 3*j(m) + 2*x(m). Find the first derivative of a(q) wrt q.\nAnswer: -52*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/7)*z*z\/(z*z\/z**(2\/23))*z**9\/z**(-1\/11))**(7\/5) assuming z is positive.\nAnswer: z**(17013\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1.11, -5?\nAnswer: -1.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 10*-1512836\nAnswer: -15128360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 260408 (base 13) to base 10.\nAnswer: 914636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6*x - 246. Let r(u) = 2*u + 83. Determine -8*r(d) - 3*s(d).\nAnswer: 2*d + 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -224503\/24 + 9353. Let c = -175379\/28 + 6261. Find the common denominator of c and f.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**3 - 4*d + 4*d + 11*d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -80355 or -80356?\nAnswer: -80356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70354871 to the nearest integer?\nAnswer: 8388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w - 8*w - w. Let u be -1 + (12\/3 - 1). Let c(j) = -u*j - 2*j + j. Determine 10*c(t) - 4*z(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - ((-2)\/(-1) - 2). Let b be 1\/((-2)\/(2 - 4)). Let m = b + 1. Solve m*z + k = -0*k + 6, h*z + 2*k - 8 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 6.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 + 37 - 157 + 3*g)*(-1 + 5 - 2).\nAnswer: 6*g - 170","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.96 + -0.04. Let n = -111 + 66. Let h = 41 + n. What is the nearest to -1\/3 in 2, h, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 0.16 (b) -0.2 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*t*x**3 + 600*t*x + 7863*x**3 wrt t.\nAnswer: -16*x**3 + 600*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w - 10 = 6, -3*w = 3*l - 4*w + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (35 + -2)) + 21?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7699 * 5\nAnswer: -38495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3343*w - 3380*w - 3376*w + 13477*w - 3379*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 286 = 5*r - 2562, -3*r + 1367 = d. Is 19 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**5 - 15*w**4 - 33*w**3 - 17*w**2.\nAnswer: w**2*(w - 17)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1880, 427, 3 in descending order.\nAnswer: 427, 7, 3, -1880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1244 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 207 = -19*o. Let g be ((-74)\/(-16))\/(4\/8). Which is smaller: g or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 1 = v, -4 = v - 5*v + 4*z. Suppose -t = 4, -2*t + 12 = -v*k + 203. What is the remainder when 117 is divided by k?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6965 - 1407 = -970*d - 15782 for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.129 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 + v**2 + 4*v. Let n be d(0). What is the biggest value in 2, n, -1\/6, -4\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxsazxaxzxxisxxxxsx. Give prob of picking 1 i and 1 x.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1649365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 1328, 15 in descending order.\nAnswer: 1328, 15, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 3:17 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 94 + 30 = 0. Let p be ((-16)\/t)\/(1\/188). Let x = p + 174. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m**5*p*x - 3869206*m**2*p*x**2 - 2*m*p*x**2 + m*x + 2672123*p*x**2 wrt m?\nAnswer: -40*m**3*p*x - 7738412*p*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23563 = 18*v - 1097. Calculate the highest common divisor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 3\/80*g**5 + 0 + 0*g**2 + 11\/8*g**4 - 46*g + 121\/8*g**3. Find q, given that c(q) = 0.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 8\/803 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 18*y**2. Let d(r) be the second derivative of -r**5\/60 + 16*r**3\/3 - 42*r. Let f(q) be the second derivative of d(q). Give x(f(u)).\nAnswer: 72*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/6 - (-5)\/15. Solve 4*b + 0*b = m for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**5 + i**4 - 1. Let f(l) = -20*l**5 - 3*l**4 + 6*l + 3. Let m(r) = f(r) + 3*j(r). What is the second derivative of m(w) wrt w?\nAnswer: -340*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2. Let b be 5 - 4 - 1*-1. Let r be (-3)\/9*2*-3. Let x(j) = -2*j + 2*j + r*j + b*j. Give x(f(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-715)\/(-1) + -1 + (-170)\/17 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.066 in 0.2, 2, -5, -3, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 20825, -4, 3 in decreasing order.\nAnswer: 20825, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0153838 rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1827?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/4 and 137\/762.\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 0 + (-162)\/(-27). Solve 2*y - 2*x = -16, 4*y + 43 = 5*x + c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(6*sqrt(5)*1 - (sqrt(20)\/(sqrt(4)*-4) - sqrt(5))).\nAnswer: 29*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/1*(-2401 + 1). Round n to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -1.174713.\nAnswer: -0.174713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 28*d - 2. Let r(x) = -x + 52. Determine r(w(s)).\nAnswer: -28*s + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t - 33*t - 34*t + 11145*t**2 - 2*t.\nAnswer: 11145*t**2 - 63*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(336))\/sqrt(7) + (-2*sqrt(192))\/sqrt(4).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 8*h + 12. Calculate d(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -118*q*t**3 - 286*t**3 wrt q.\nAnswer: -118*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -92*u - 4. Let o(y) be the third derivative of y**4\/24 - 1599*y**2. Calculate o(t(p)).\nAnswer: -92*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -853 by 502.\nAnswer: -853\/502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1069\/8 - -134. Let y = -119\/2 - -61. What is the closest to 1 in 0.1, t, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6226469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13 + (-11 - -57))*6. What is the highest common factor of 207 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + f + 3*b + 11 = 0, -2*f + 4*b = 2. Suppose f*m = -p + 29, m - 4*p = 2*m - 2. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1102101 + -10222?\nAnswer: -1120100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.747 rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 68947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15)\/(sqrt(5)*2) - 6*sqrt(15)\/sqrt(5))*4)**2.\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 181771.8651s?\nAnswer: 0.30054871875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34.54 * -34.3.\nAnswer: -1184.722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -18.5. Let a = 1.5 + j. Let u = 3.3 + -3. What is the second smallest value in u, 1, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31159.\nAnswer: 31159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -254, 0, 2\/3?\nAnswer: -254","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*5\/10*(-10)\/(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = j - 16. Let m(p) = p**3 - 8*p**2 + p - 3. Let q be m(j). Solve 4*k + f + 21 = 0, 5*f = q*k + 4*f + 24 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/2618*7*1.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n**(2\/11)\/n*n))\/(n*n**(2\/7))*(n*n**(-2\/19))\/(n*n*n**(2\/3)*n))**(-5\/7) assuming n is positive.\nAnswer: n**(93035\/30723)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65587 is divided by 13113?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 12. Let s be u(-9). Let k be 0 - (s + 1 - 1). Which is the biggest value? (a) -2\/11 (b) -1\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o**3 - o**2 - o - 1. Suppose 3*f = -5 + 2. Let h be v(f). Let q = -8 + h. Sort -5, q, -3 in decreasing order.\nAnswer: -3, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i - i**2 + 0*i - 2*i**2 + 2*i**2. Let z = -12 + 17. Determine l(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -223, -377, -513, -625, -707, -753, -757?\n\"Answer: h**3 + 3*h**2 - 170*h - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 24 = -356. Let l = -97 - t. List the prime factors of l.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -465 + 182*q + 992*q**3 + 465.\nAnswer: 992*q**3 + 182*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.989041ml in litres?\nAnswer: 0.001989041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*d + 60 + 33, -5*d - 3*y = -96. Suppose 10*a = 13*a - d. Suppose -11*j + 20 = -a*j. What is the greatest common factor of j and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + 1 + (-63 - -45)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1602436?\nAnswer: 2, 11, 79, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 106*a - 301. Calculate the least common multiple of s(3) and 2682.\nAnswer: 10728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 117 and 507.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2422159 and -312.4466.\nAnswer: 2421846.5534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1304910 is divided by 427?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (1 + 5 - 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z - 75 = -2*z - 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 13.977. Let o = -0.02302 + u. What is o rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 285 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a - 1. Let b(c) = -c + 1. Determine -4*b(u) + 2*s(u).\nAnswer: 2*u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 3*a - 7 - 44 - 13 - 5 + a + 5 + (2*a - 3*a + 2*a)*(-1 + 7 - 1) as r*a + b and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(24\/5)*m*m*m**(-7\/3)*m*m*(m**(-6)\/m*m)**(1\/2) assuming m is positive.\nAnswer: m**(52\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1173245 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 131*w**5 + 30*w**3 - 10*w**2 - 7417352*w?\nAnswer: 2620*w**3 + 180*w - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3616, -14374, -32312, -57430, -89728, -129206?\n\"Answer: -3590*o**2 + 12*o - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 292*z - 184*z - 105*z - 172.\nAnswer: 3*z - 172","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 80269\nAnswer: -80268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2173 (b) 1 (c) -0.4 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**3 + 13*s**2 - 18*s + 12. Calculate a(-8).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p\/p**(5\/4)*p)\/p)\/(p**11*p))**9\/((p\/(p*p\/((p**(-1\/5)\/p)\/p))*p*p)\/p**2*(p**(-1\/4))**(18\/11)) assuming p is positive.\nAnswer: p**(-21481\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 10:08 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 5. Suppose k + 5*m - 26 = 0, 3*m = 3*k - 2*k - 2. Calculate the remainder when k is divided by (-1 - (-14)\/a)*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -402, -404, -406, -408?\n\"Answer: -2*b - 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/31347 and 79\/1204.\nAnswer: 877716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2804*m**3 + 5605*m**3 - m**2 + 3*m - 54 - 2802*m**3 - 3*m - 3*m**4 to the form g*m**4 + o*m**2 + j*m + f + y*m**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119334 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7115 (base 10) to base 2\nAnswer: -1101111001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4716838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/11, 2\/11, 1\/2, -106 in ascending order.\nAnswer: -106, -2\/11, 2\/11, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -4\/13, 58\/131, -6, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10.46, -1, -5, 1, 3, 22\/5 in descending order.\nAnswer: 22\/5, 3, 1, -1, -5, -10.46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 6*d**3 + 33\/20*d**5 + 0 + 6*d**2 + 2*d - 7\/40*d**6 + 13\/2*d**4. Factor x(q).\nAnswer: -3*(q - 6)*(q + 1)*(7*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-19 - -22)\/(3\/433)?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + b - 12 = -3*y, -2*y + 8 = 4*b. Suppose y - 7 = 3*s, -2*j = -2*s - 24. Solve 3*d - 5 = -i, d - j = 2*i - 0*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26822586?\nAnswer: 2, 3, 7, 638633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/8 - 1799\/(-28). Suppose c = 7*m - 5*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 259750*c + 2337744. Determine v(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/323 < -1\/42357?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -11. Suppose -20 = -3*i - 2*i. Suppose -o + 3*o = 0. Sort o, r, i in decreasing order.\nAnswer: i, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/15 - 4*n\/3 + 6\/5.\nAnswer: 2*(n - 9)*(n - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + s**2 - s**2)*(3*s - 3*s - 3*s**3)*(-1 + 2 + 2).\nAnswer: -9*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6626.553 months?\nAnswer: 55.221275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3351 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 9. Let q be r(8). Let y be -3 - (q + -4 + 2). What is the units digit of 319\/99 - (-4)\/y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1705 and 28215?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -10. Let a(u) = u**3 - 8*u**2 + 7*u - 7. Let i be a(w). Let n(b) = -3*b**3 - 4*b**2. Let f(s) = -10*s**3 - 13*s**2. Calculate i*n(o) + 2*f(o).\nAnswer: o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*f - 56*f + 139*f - 46*f.\nAnswer: -26*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((18\/(-4))\/3)\/(60\/(-80)). What is the least common multiple of 60 and j\/(-12) - (147\/(-18) - 6)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15165256?\nAnswer: 2, 1895657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -85 + 92. Let y = 7 - 3. Suppose -k - 1 = -4*l - 4*k, -3*l + y*k = -32. What is the remainder when t is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + w - 21 = 0, 5*p = -10*p + 17*p + 8*w - 42 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/7 - 6*t**2 + 78*t\/7 - 38\/7.\nAnswer: 2*(t - 19)*(t - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s - 10. Let k be y(-11). Suppose 0 = 3*m - 0*m + k. Let j = -4 - m. Solve j = -3*d - 2 + 14 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-1) + (-62776)\/(-84). Let f = u - 747. Put 0, -0.2, f in decreasing order.\nAnswer: f, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 17507, 17540, 17613, 17738, 17927?\n\"Answer: 2*o**3 + 8*o**2 - 5*o + 17502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7894, -15862, -23908, -32038, -40258?\nAnswer: -48574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2454*v - 2408*v - 2014110. List the prime factors of v.\nAnswer: 3, 5, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(448))\/(sqrt(324)*-2 + sqrt(324)) - -2*(-6*(sqrt(567) + 1 + -4 - sqrt(567)))**2.\nAnswer: -4*sqrt(7)\/9 + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 999126.\nAnswer: 999126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + r + 15 = 0, r + 8*r = -5*k + 61. Suppose 157 = 3*l + 2*u, 0 = -5*u + 4*u - 1. Calculate the remainder when l is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 55*v + 477. Let f be z(11). Which is the smallest value? (a) f (b) 0.3 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 5, 228, 1, -8, 513 in decreasing order.\nAnswer: 513, 228, 5, 2, 1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -10*g**2 - 398*g + 44. Give y(-28).\nAnswer: 3348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2374420 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1518 and 11?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97226.\nAnswer: 2, 173, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 252697.31259 - 252704. Let v = y - -6.68. What is v rounded to four dps?\nAnswer: -0.0074","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(-6 - (-10)\/2). Suppose r = 2*v - 19 + 17. Sort 4, -3, 47, v.\nAnswer: -3, v, 4, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from isqkxsk. What is prob of sequence ss?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, -1145, -4440, -10875, -21500, -37365?\nAnswer: -59520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from lnlljnn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 449 - -351. Let r be (150*340)\/((-12)\/o). Round r to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 2 - 14. Let y(h) = -5 + 2*h - 22*h + 31*h. Let u be y(c). Calculate the greatest common factor of 13 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 18 - 9 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1144567 is divided by 197?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3\/6 - 229*b**2\/6 - 99763*b\/3 - 33216 = 0. What is b?\nAnswer: -346, -1, 576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 0. Suppose 5*w + 5*o = 25, -p*o + 34 = 5*w - 7*o. Let c = 27 - w. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by -1.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + 2*y - 4*y)*(0 + 3 - 2)*(y + 2*y + 0*y)*(0*y - 4*y + y).\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13377821*t**5 - 19527933*t**2 wrt t?\nAnswer: -802669260*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 286*y**2 + 5*y + 40 wrt y?\nAnswer: 572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 35 (b) -4 (c) -4365 (d) 1\/3 (e) 0.4 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 4. Suppose 4*b + 1 = 2*t + 11, 4*b - 4*t - 8 = g. Suppose b*d = -4*d + 497. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w + 3. Let z(j) = -3*j - 3. Let f(v) = 4*t(v) + 3*z(v). Let o be f(8). Let y(u) = 2*u**2 + 9*u + 4. What is the units digit of y(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5*f - 248 = 0. Let g = f - -173. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**4\/8 + 7*z**3\/3 - 13*z**2. Let q be (-6 + 1)*(-90)\/75. Calculate j(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -7*f**2. Let o(u) = 202 - 4*u**2 - 202. Determine p(o(z)).\nAnswer: -112*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -s - 2 - 4, 2*s + 24 = 5*c. Let n(a) = -a**3 - 2*a**2 - 1. What is n(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79131 is divided by 24849?\nAnswer: 4584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, z: 1, h: 1, v: 3}. Give prob of picking 2 v.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/11, -15, 0.3, 4 in ascending order.\nAnswer: -15, -1\/11, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n + 3. Let q(u) = -u**2 + u + 1. Let v(a) = q(a) - t(a). Let y(k) be the first derivative of v(k). What is y(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + 3)\/((-37)\/(-21747083)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001869047 rounded to 6 dps?\nAnswer: 0.000187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.172 * -5.\nAnswer: 50.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 520 - 112 = 0. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 9:24 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150 - u - 27 + 177.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9435 - 9431. Suppose 5 = -2*u - 5. What is the smallest value in -0.2, f, -0.02, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 124 - 119. Which is the second smallest value? (a) 1\/33 (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-42)\/(-35)*(-60)\/4689. Let y = 19149\/8336 - a. What is the common denominator of 11\/28 and y?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 10. Suppose 4*o - m = -0*m, -c*o = 4*m. Solve o*k - 5*k - 25 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 364 divided by 14.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/(-665) - 3\/(-30)*-2.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 + 46. Let q be (14\/(-49))\/((-2)\/14) - d. Calculate the greatest common factor of q and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(-2)*g*g\/(g\/g**(3\/8))*g**13*g**(-11) assuming g is positive.\nAnswer: g**(51\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - m - a = 17, -2*m - 20 = 5*a for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h = -4*p - 414, 2*p - 2*h = -222. Let x be (0\/4 - -5)*(-66)\/10. Let u = x - p. List the prime factors of u.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1884 + -1224. Suppose -2*k = k - r. Let u = -153 + k. What is the remainder when u is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -8 (b) -5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in -31, -2, 0.002, 3\/16?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0485 + -0.0515. Which is the third biggest value? (a) f (b) 1 (c) -4\/3 (d) -1\/13 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 7 = 2*v - 2*d, -5*d = 2*v - 19. Calculate the remainder when 2 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1087036 to the nearest integer?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 15810.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -305 + 165. Let g = 197099\/16 + -12314. Calculate the common denominator of g and (10\/o)\/((-1)\/(-113)) - 0.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 1543187 = 2*w, 588002 = 3*g + 3*w - 955180. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -40 - 47?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-14)*2983491\/(-29394)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -110222002?\nAnswer: 110221331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*y**2 + 30*y**2 - 60*y**2 - 117*y**2.\nAnswer: -70*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -7*g + 7. Let d(i) = -3*i + 3. Let p(c) = 9*d(c) - 4*u(c). Let t(f) = -f + 4. Let n be 1\/2 - (-9)\/(-6). Give n*t(j) - 3*p(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59 - (-48 - -15)) + 8 + 3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9776648 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -319 - -307. Let s be (j\/10)\/((-90)\/(-100)). Let k = 0.2 + -0.1. Put -17, k, s in increasing order.\nAnswer: -17, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**3 + 2*x**3 - x**3)*(-5*x + 0*x + 3*x) - 3*x**3 + 3*x**3 + 2*x**2 - x**4.\nAnswer: -11*x**4 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 36790073 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08312 + 0.01688. Which is the nearest to i? (a) -5\/3 (b) 3 (c) 4080\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 25*o**5 - 9090*o**4 + 833485*o**3 - 1303200*o**2 - 655220*o = 0?\nAnswer: -2\/5, 0, 2, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*j = 14, 0 = -4*g - 6*j + j - 12. Factor 6 + 3*i - 12*i - 746*i**g + 740*i**2.\nAnswer: -3*(i + 2)*(2*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 3. Let k = z - -12. Solve 16 = -5*o + 3*y - k*y, -2*o + 12 = 5*y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6085 divided by 2?\nAnswer: -6085\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23468865 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5275.\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*1\/(-1) + -4. What is the remainder when (-8)\/(-2) + 32 + -9 is divided by (21\/q)\/(-1*1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**5\/17 - 8*w**4 - 934*w**3\/17 + 1624*w**2\/17 + 3768*w\/17 - 4320\/17 = 0.\nAnswer: -60, -9, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/279837 and -82\/260865.\nAnswer: 15391035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*(sqrt(500) + (sqrt(500) - (2*sqrt(500))**2) + -2 - (-2*1*sqrt(500))**2)*3 + 5.\nAnswer: -60*sqrt(5) + 12011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 11*g**2 + 12*g - 12. Let s be q(12). Let m be ((-4)\/3)\/(8\/s). Suppose -4*k + 64 = -4*u, 3*k - m*u - 34 = 18. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -k**3\/3 + 14*k**2 - 141*k + 5735. Give z(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-eight fifths of a millennium?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-2)*18*(-56)\/462?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1013680 take away 1052?\nAnswer: -1014732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a century in months?\nAnswer: 1320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-1) + 1 + -4 - -12. Suppose -4*t + 1088 = s*t. What is the least common multiple of t and 40?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -25 + 121 + -30 - 12\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 7*u - 6. Does 4 divide w(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + h**2 + h + 384. Let n be k(0). Suppose n = 3*x - 0*x. Let g = -70 + x. Calculate the remainder when g is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1276657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3, -19, -41, -63, -85, -107?\n\"Answer: -22*m + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 + -20102312?\nAnswer: -20102343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 + -23. Let h be (-7)\/(-2)*80\/b. Suppose -5 = 4*k - 6*k + m, -3*k - 2*m - h = 0. Solve k = l + 1 - 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (-2 - -20 - (37 - -9))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1230*n**3 + 2100*n + 2472*n**3 - 1238*n**3 + 3528 + 176*n**2.\nAnswer: 4*(n + 2)*(n + 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k - 48 = 18. Suppose -12*g = -k*g - 72. What is the lowest common multiple of 4 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -179 or 26465?\nAnswer: -179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -w**4\/4 - w**3\/3 + 16*w - 4. Let d be p(0). Solve -2*h + 12 = 4*f, d = -f + 4*f + 5*h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/21)\/h**4 assuming h is positive.\nAnswer: h**(-82\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2838 plus 1953.0908?\nAnswer: 4791.0908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzr when three letters picked without replacement from zrrzzaz?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*j**3 + 86*j**3 + 92*j**3 + 88*j**3 - 347*j**3.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1722)\/656)\/((-9)\/(-12))*48\/14.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*v + 56 = 0, 3*y - 207 = -0*y + 4*v. Suppose -a + y = 3*a + 5*l, 2*a + 5*l = 25. Let r = a + -12. Solve 2*n + r = -0*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z + 70*z**2 + 40*z - 4*z**3 + 64*z**2 - 134*z**2.\nAnswer: -4*z**3 + 48*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31619582?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -35. Let o be (25\/15)\/((-3)\/(-27)*t). Solve -3 = 2*r - o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 3*a**2 + 19*a - 4. What are the prime factors of n(9)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 - -34.9. Let w = 0.19 + f. Which is the biggest value? (a) w (b) -0.2 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 13 (b) -2\/17 (c) -1\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 - 2047*r**2 - 172897*r - 3578849.\nAnswer: (r - 2129)*(r + 41)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58017686.\nAnswer: 2, 29008843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**4 - 2006850*o**3 - 268538592120*o**2 - 11985319621344190*o - 754009808200616835.\nAnswer: -5*(o + 63)*(o + 133769)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 - 28 = -15*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11010220220002000 - 12?\nAnswer: -11010220220002012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*x - 31*x = 0, 2*m - 3*x - 2*x = -4*x for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-50)\/105)\/(3201\/66 - 46)?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/17804364 and 59\/62315274.\nAnswer: 124630548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*y - 31*y - 2 + 34 - 137)*(-2 - 2 + 2).\nAnswer: 6*y + 210","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 336967\/93 - 3623. Find the common denominator of (5 + 665\/(-10))\/(-1 - -4) and b.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -866*l + 1526 = -859*l. Let j = l + 99. Which is greater: 316 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + 36206*w**2 - 904681*w + 5644236.\nAnswer: -(w - 36181)*(w - 13)*(w - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/9)\/(4\/10)*3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -108 + 92. Let b = 18 + t. Find the third derivative of -2*u**6 - 5100*u + 5100*u - 45*u**b wrt u.\nAnswer: -240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, 12, 1\/5, 17\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -724264 divided by -174\nAnswer: 362132\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -145 and -118613.\nAnswer: 17198885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 13*-0.24\nAnswer: -3.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*g + 6. Let d(u) be the second derivative of u**5\/20 + u**4\/12 - u**3\/6 - 4*u + 25. Determine d(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0395 + 0.8605. Sort c, 1, 5\/2 in increasing order.\nAnswer: c, 1, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x**2 - 11*x + 7. Let g be a(-4). Let u(t) = -6 + 2 + 5 + 6*t - g. Determine u(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/22 and -81\/1076?\nAnswer: 11836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59014*g**3 - 1480222 wrt g.\nAnswer: 177042*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -791, 1.51?\nAnswer: 1.51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 524139\/210 + 9\/90 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 69512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28551886 and 220726.\nAnswer: 2794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from mommo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11310730*g**3 - 60*g**2 + 9057776*g?\nAnswer: -67864380*g - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11322120302012 + 11?\nAnswer: -11322120302001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 661896253 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64276?\nAnswer: 2, 16069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 - 54. Suppose 5*j = u - 3*u + 9, 3 = j. Let q(y) = 3*y + 2. Let k(b) = -b + 0*b - b + 46 - 48. Calculate d*k(f) + u*q(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 0.28, 0, 2, 6, 19.\nAnswer: -41, 0, 0.28, 2, 6, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -5. Let y = 44068 - 44072. Put y, 1, f in increasing order.\nAnswer: f, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 + 97?\nAnswer: 8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -13002 (base 6) to base 2\nAnswer: -11110011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -66*l. Let p(a) = 2*a - 4. Let z(c) = 4*c - 10. Let y(t) = -5*p(t) + 2*z(t). Determine y(q(j)).\nAnswer: 132*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -213, -381, -537, -681, -813?\nAnswer: -933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -94*r**3 + r**2 + 5*r - 3. What are the prime factors of b(-2)?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3114 and 7344.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.028 + -0.228. Which is the nearest to -2\/3? (a) -1\/2 (b) t (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/4)\/f)\/(f\/(f**3\/f)))\/(f**(5\/3)\/((f**9\/f)\/f)) assuming f is positive.\nAnswer: f**(67\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1.7, -0.1, 0.98 in decreasing order.\nAnswer: 1.7, 0.98, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 7*a**2 + 31*a - 23. Determine q(-10).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - ((-2*sqrt(152) + sqrt(152))*-3 - sqrt(152)))\/(sqrt(8) + 2*sqrt(72)).\nAnswer: -sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from guu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10189627 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5.2, -72493, 2\/7, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1300.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0036762 rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + -10. Let r = 42 + f. Solve 5*k + 4*h = -41, -k - r = k + 4*h for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -4*m**5\/3 + 10340*m**4\/3 - 6677048*m**3\/3 - 6697736*m**2\/3 + 2225684*m + 2229132 = 0?\nAnswer: -1, 1, 1293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -15472, -15478, -15484, -15490, -15496?\n\"Answer: -6*n - 15466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffmffffff. Give prob of sequence ff.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 6. Let x = n - -2. Sort 2, -3, x in increasing order.\nAnswer: -3, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1164202 + -19.26.\nAnswer: 1164182.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 10:18 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 225591*f**2 - f - 35. Let j be u(-4). Let m = -449425 + j. What is m rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t**3 + 2*t + 2. Let z be j(-1). Let v be (-28)\/(-12) - z\/3. Let f = 235\/4 + -59. Is f greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 832\/(-312) + 2\/(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2)\/(14\/98*12)?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.2 and 54.\nAnswer: -118.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 33\/(-4) - 2\/(-8). What are the prime factors of ((-18)\/8)\/(2\/z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5679645um to kilometers.\nAnswer: 0.0000000005679645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.07 (b) -4 (c) -11.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.7147 - 0.0588682?\nAnswer: -44.7735682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g - 4. Let p(v) be the third derivative of -4*v**2 + 0 - 1\/6*v**3 - 1\/24*v**4 - 6*v. Determine -h(x) + 5*p(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1119201*u**4 + 15*u**3 + u**2 + 389983*u - 14.\nAnswer: -13430412*u**2 + 90*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 4*o + 2*j - 72, -91 = -5*o - 2*j. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1233 is divided by 178.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48504 - 776771\/16. Let x = t - -11189\/240. Find the common denominator of x and 52\/63.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*u**2 - 1 + 1)*(-4*u + 2*u + 0*u) + u - u**3 - u + 10*u**3 + 14*u**3 - 22*u**3)*(-9*u + 8*u - u) as r*u**4 + m*u**2 + j*u + b + q*u**3 and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 12 - 51 = 0. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1077 bigger than -1077?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -134 + 140. Which is the nearest to -0.1? (a) 0.2 (b) v (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1769 - 1771. Let y(g) be the third derivative of -1\/30*g**5 + 0*g - 1\/8*g**4 + 0 - 1\/3*g**3 - 2*g**2. What is y(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -7 - (1 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -15 - (-40 + -2).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -0.5. Let g = 2711 - 2711.1. What is the closest to g in -1\/4, s, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39714, -40275, -41208, -42513, -44190, -46239?\nAnswer: -48660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6694*a + 6694*a - 184*a**2 + 3*a**2 + 0*a**2 - 4*a**2 + (4 - 4 + a)*(2*a - 1 + 1) to o*a + z + t*a**2 and give t.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l**2 - 62 + 162 - 100. Let j(h) = 4192*h**2. Calculate j(m(b)).\nAnswer: 104800*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 4*i - 8*i. Is -13 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 851788059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*m**4 + 465275*m**3 - 181*m**2 - 740103?\nAnswer: 960*m + 2791650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 9903 times -7.2\nAnswer: -71301.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*c + 24 = 4*g, -5*g + 40 = 5*c. Let d be -2*((-6)\/g + -1). Let v = d - 2. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/12032 and 143\/1128.\nAnswer: 36096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 15760, -1, 4 in descending order.\nAnswer: 15760, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-44)\/(-42) - (6 - 5). Let p(m) be the third derivative of -1\/30*m**6 + 0*m**3 + 0 + 0*m**5 + m**2 + 0*m**4 + 0*m - d*m**7. Factor p(x).\nAnswer: -2*x**3*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007567 rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*h - 3. Let x(n) = n**3 - n**2 - 4*n + 1. Let k be x(h). Does 6 divide 12\/k*1*7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1746029 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y**3\/3 - 24208*y**2\/3 + 24214*y\/3 - 2018 = 0. Calculate y.\nAnswer: -3027, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + sqrt(44) + 0)**2 - (2*sqrt(11)*-2 - (sqrt(11) + 0)*-4)**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2759000 rounded to the nearest ten thousand?\nAnswer: -2760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53992 is divided by 17889?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 3839 - 1861. Round z to the nearest 100.\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -0.9, -1, -1\/2, -6, -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4822 + 4818. Which is the second smallest value? (a) -0.04 (b) 3 (c) 7 (d) p (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 398780 is divided by 268?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (331\/662)\/(2\/(-4))*19\/1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/2)\/(n\/(n*n\/(n\/(n\/(n\/(n**(2\/23)\/n)))))))\/((n**(1\/3)\/n*n)\/n**(1\/2))*((n**(-1\/13)*n)\/((n*n**(-3\/2))\/n))\/(n*n**9*n**(1\/6)) assuming n is positive.\nAnswer: n**(-2688\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-6)\/o*o)\/o**(-10))**(-6)*((o**2\/o)**(28\/3))**(3\/22) assuming o is positive.\nAnswer: o**(-250\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - -1. Solve -i = -3*i - 5*v - 8, -3*i - k = -4*v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, j: 1, v: 3}. What is prob of picking 2 l?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*z. Suppose 4*g - 9 - 7 = z. Calculate the least common multiple of g and ((-4)\/(-10))\/((-3)\/(-15)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6921 and 6919 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1009 + 1021. What is the remainder when x is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 230099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-6)\/u*u**(-2)*(u**(-7)*u)\/((u\/u**(-3))\/u) assuming u is positive.\nAnswer: u**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 16*s - 14*s + 26 = 0, 3*r - 5*s + 52 = 0. Let m(y) = y**2 + 9*y + 5. What is m(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/(((-88)\/144)\/(-11)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7.5379 times 70\nAnswer: 527.653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 27570 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggkcgkcccc. What is prob of picking 2 k and 2 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 0.2. Let t = 2.7 + -3. Let o = t - -0.8. Which is the biggest value? (a) o (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 1620.\nAnswer: -3240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5661039 at least 5661035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 556\/(-139)*(-8265)\/380.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -41250, -41101, -40952, -40803?\n\"Answer: 149*t - 41399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*w - 73*w - 2293 - 13052 = -57*w for w.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3048696 and 48024.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 6*m**2 - 16*m - 6. Suppose -3080*u + 31 = -3070*u - 39. What is v(u)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1215*u**2\/4 - 3662*u + 204.\nAnswer: (u - 12)*(1215*u - 68)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2891607?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-59)\/5 + 3\/(-15). Let d be (o\/8)\/(6\/(-16)). Suppose 0 = -g - 5*p - 0*p - 1, 0 = -2*p - d. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8611*k + 644 = 8597*k. Let b = -522 + 361. Let p = k - b. Is 23 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 + -58.36. Let s = -4454399.36000029 + 4454400. Let q = g - s. What is q rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7647730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/11 - -26*(-5)\/110. Let r be (d\/((-4)\/40))\/2. Calculate the greatest common divisor of r and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -141?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*l + 552 = 141*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33561134 to the nearest integer?\nAnswer: 5793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -122, 2.3, -9 in ascending order.\nAnswer: -122, -9, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90503 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*d**2 + 12\/5 + 2*d.\nAnswer: 2*(d + 2)*(d + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 o, and 1 m when three letters picked without replacement from {o: 6, h: 1, q: 2, m: 3}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 4687 = p + g + 4674, -13 = -g. What is u in 0 + 3\/4*u**4 + 0*u**2 + 1\/4*u**5 + p*u**3 + 0*u = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 930 and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 175 and 6363925.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 2*f + 4*f + (-6 + 0 + 2)*(-2*f - 1 + 1))*(-f - 2*f + 2*f) - 13*f**2 - 9*f + 9*f.\nAnswer: -22*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 9 = -b, -5*t - 5*b + 40 = -b. Let w = t + 7. Does 11 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**4 + 2*u**2 + 2. Let y(o) = 268*o**4 - 2*o**3 - 8*o**2 + 1035. Let g(l) = -4*s(l) - y(l). What is the first derivative of g(m) wrt m?\nAnswer: -1088*m**3 + 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 321.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 9. Let w = d - -4. Let z be 2\/(-5)*(-7 + 8). Which is the nearest to 1? (a) w (b) z (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14694.3593 and 6?\nAnswer: 14700.3593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*a**2*l**2 + 2*a**2*l + 27*a**2 - 55*a*l**2 - 3*a - 17*l**2 - 2*l wrt a?\nAnswer: -14*l**2 + 4*l + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*w = -48*w + 4. Sort 1, w, -41 in decreasing order.\nAnswer: w, 1, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/3 or -549?\nAnswer: -549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2. Let p(j) = j**3 + 11*j**2 + 3*j - 8. Let o(y) = 6*i(y) - p(y). Let t be o(-4). Suppose -t*x + 1 = -3. Are x and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77437440?\nAnswer: 2, 3, 5, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1150*s - 1080*s + 219 = -131 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 10, m: 2}. What is prob of picking 1 s and 2 m?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1100*y - 3164 - 17259 + 9698 = 24475 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 3*c + 2, 5*c - 2*c = -4*s + 22. Suppose s*i + 27 = 5*w, -4*i = -2*w + i + 21. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -0.4 (c) -1.1 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 9*y - 7. Let x be g(7). Let q(i) = 5*i**2 - x - 2 + 11*i - 6*i**2. Let b = -2032 + 2041. Calculate q(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7392453 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -2, 2.\nAnswer: -2, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**3 + 70*n**2 + 8. Let c be y(-35). Solve -2*o = -c + 8 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 7*k - 40 = 0, 5*v - k - 10 = 7*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -93635627*o**2 + 2665*o + 19072 wrt o?\nAnswer: -187271254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 219985 - 219981. Suppose -2*t - 6 + 0 = 0. Which is the smallest value? (a) i (b) t (c) -0.2 (d) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.7, 1\/2, 102, 0.4, 4?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1\/6, -34\/11, 1, 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/1078 and 59\/4106396?\nAnswer: 45170356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -8*d**2 - 17*d + 6*d**2 - 14 + 3*d + 18*d**2. Let x(p) = -p**2 + p + 1. Let w(h) = -2*q(h) - 28*x(h). Let z(b) = -2*b**2. Determine z(w(o)).\nAnswer: -32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 6 = s, -8*s = 3*q - 3*s - 26. Let r = -182 - -184. Let m(o) = 3*o**3 - 2*o**3 - r + 2*o**2 - o**q. Calculate m(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-76)*44\/55. Let u = p + -47\/95. Which is the closest to -2\/5? (a) 0.2 (b) 0.04 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - v = -m - 5, -m + 2*v + 2 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 122088.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 4*t + 7*t)*(0*t**3 + 0*t**3 - 2*t**3) + t**2 - t**4 - t**2.\nAnswer: -19*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(-6 - 3*x + 6) - 2*x - 3*x + 4*x + (1 + 0 + 0)*(x + 0*x + x) - 3*x + 0*x + 5*x + 0*x - 3*x + x + 3*x - 7*x + 0*x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8.9312 * -0.4\nAnswer: -3.57248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 300*n + 303.\nAnswer: -3*(n - 101)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1039 + 1077. Let s = -375 - -412.8. Let b = r - s. Which is greater: -4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.121 - -221.83\nAnswer: 221.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 4*y**2 + y + 4. Let m be b(3). Let p be 14\/3 + m\/3. Let t = p + -9. Let g(d) = -d**2 - 6*d + 2. Calculate g(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 2*t**2 - 11*t - 50. Let v(l) = -l**3 - l**2 - 4*l - 14. Calculate -2*s(w) + 7*v(w).\nAnswer: -5*w**3 - 3*w**2 - 6*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 4*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3101 - 27346?\nAnswer: -31447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.407 - 0.447. Which is the nearest to -3? (a) 4 (b) y (c) 0.1 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3499638267.\nAnswer: 3, 31, 2539, 14821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-15 + -14 + 15)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 7:58 PM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 809671.\nAnswer: -4\/809671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d + 0*d - 3*d)*(-6*d**2 + 2*d**2 + 6*d**2) - 2*d**3 - d**3 + 0*d**3 - 3*d**3 + 3*d**3 - 9*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13193.\nAnswer: 79, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -4*b - i + 1159, 2*b = -2*i + 584. Calculate the common denominator of b\/(-12) + (-4)\/8*-4 and -71\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 1468 - 326 = 0. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 (base 9) in base 15?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 69\/(-23)*-1*4\/4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -28. What is the third biggest value in c, -2\/11, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 3*s - 27, -5*s + 7 = -3*h - 9. Suppose -h*d = 3*b - 0 - 12, -4*d - 5 = b. Let x = b + 5. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 6*p**2 - 2*p + 36. Give j(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2928, 2916, 2870, 2772, 2604, 2348, 1986?\nAnswer: 1500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a + 161 = -179. Suppose 3*q + a = 8*q. Let f(u) = 15*u**2 - 11*u + 9. Let k(z) = 7*z**2 - 5*z + 4. Give q*f(t) - 9*k(t).\nAnswer: -3*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204) + 2*sqrt(204))*4)\/(sqrt(196)*-2))\/(2*4*sqrt(30)\/(sqrt(40) + sqrt(10))).\nAnswer: -9*sqrt(17)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20011301 (base 4) to base 6.\nAnswer: -413225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 659\/230 or 4?\nAnswer: 659\/230","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -d7b?\nAnswer: -d7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen fifths of a decade?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 2. Let i = k + -1. Let q = -392\/9 - -44. Which is bigger: q or i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -6*a**2 - 8*a - 1. Let m(u) = -5*u**2 - 7*u. Determine -4*m(d) + 3*o(d).\nAnswer: 2*d**2 + 4*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.67 + -10.53. Let p = g + 11.2. Does -4.5 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 20 = 4. Calculate the common denominator of (-328)\/(-84) - (-1)\/(-3) and 226\/(-812) - z\/14.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 - (-20)\/(-5) - 2. Suppose a = 4*w + 267 + 681. Is 0*5\/25 - w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10209?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -18873530 divided by -145181\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 9) in base 16?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - w + 5 = 0, 3*w + 6 = -2*o + 21 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -8383*t + 444282. What is m(53)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2890 from 32982342.\nAnswer: 32985232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) 2\/13 (c) 1.33 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -131.2 and -168.\nAnswer: 22041.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 133611231 to the power of 1\/2, to the nearest integer?\nAnswer: 11559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -210000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 19. Suppose q = -0*i - 2*i. Let h = -1.3 - -0.3. What is the closest to i in 0.3, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-4))\/(-7*1\/(-14)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7224 - 361?\nAnswer: 6863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 97566\/92 - (3\/2 + -1). Suppose -f = 120*r - 124*r. What are the prime factors of r?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/32928 and 71\/28812.\nAnswer: 230496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.67*-0.4.\nAnswer: -1.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-18) + 21284\/5634 + -47?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 522.8 * 2\nAnswer: 1045.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 34.55.\nAnswer: -10.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*b = 37, 13*i = 18*i + 4*b + 5. Solve -2*k - 4*m + i = -k, -k - 2*m + 1 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 243, 429, 657, 927, 1239?\nAnswer: 1593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - -8) + 10 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 182422, 182425, 182430, 182437?\nAnswer: 182446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -49298*m - 98618. Calculate b(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*d**2*p**3 - 4347*d**2*p**2 - d*p + 2590680*p**3 wrt d.\nAnswer: 44*d*p**3 - 8694*d*p**2 - p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 873 - 284 - 2*c**2 + 493.\nAnswer: -2*c**2 + 1082","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b**3 + 61*b**2 + 34*b + 47. Let s be p(15). Calculate the greatest common factor of s and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -n**4\/4 + 13*n**3\/3 + 3*n**2\/2 - 8*n - 57. Let r(i) = 2*i - 3. Let f be r(8). What are the prime factors of q(f)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/6, 0.04, -27, -2\/9, -0.4, 17\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -120*n - 650*n - 449*n + 23161 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -17ad9 (base 16) to base 11\nAnswer: -66959","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**6\/480 + 29*u**5\/30 - 4407*u**4\/32 - 4563*u**3\/4 + 2*u**2 + 1052*u. Factor t(x).\nAnswer: -(x - 117)**2*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5069845 or 5069846?\nAnswer: 5069846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*l**2 - 2*l**2 + 6*l**2 to the form f*l**2 + v*l + d and give f.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/5 of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 2*r**2 - 13 + 40 - 12 + r as z + j*r + u*r**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5376.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 + 23. Suppose p = 4*s + 3*p - 298, -4*p + 368 = o*s. What is the remainder when s is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 46*i + 1. Calculate the lowest common multiple of g(1) and (225\/30)\/(-15)*-18.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (486\/27*1\/6)\/(-1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 532525 divided by -6.\nAnswer: -532525\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70702 + 23711 = -364*l - 955*l + 360*l for l.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -6826 = 572*u + 1182 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -9. Let k = 2 - v. Let c = k - -12. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 376540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 1 - -8) + 3 - (-11 - (-29 - -55)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405167 is divided by 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 44*z + 9. Let s(h) = -11*h - 2. Let j(x) = -2*o(x) - 9*s(x). Let u(b) be the first derivative of -b**2 - 12. What is j(u(l))?\nAnswer: -22*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-114)\/28 - (12 - (-2873)\/(-238))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0372 * -0.5.\nAnswer: -0.0186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**4 - 1316*u**3 - 24414*u**2 + 52768*u - 27040 = 0.\nAnswer: -20, 1, 676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -547*s + 115 = -524*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**3 - a**2 - a - 1. Let t be g(-1). Suppose -t = 2*c - 7. Let u(q) = -q**3 - 2 - 7*q + 5*q - 5*q**2 + c. What is u(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 10:52 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 15*d + 216. What is w(-17)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 7, -2*d = 52*n - 54*n - 4. Let o = 0.13 - -0.97. What is the biggest value in o, -0.3, d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8017986 and 9432?\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, p: 5, q: 4}. What is prob of sequence vqq?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*g + 33*g - 54 = 100*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7360 is divided by 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5*1*(-160286)\/(-535)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 + 152\/(-38) + (-2 - 1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 693*b + 40393 = -3959 for b.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 126132135*i**3 - 122725958*i.\nAnswer: 756792810*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1150, -1178, -1220, -1282, -1370?\nAnswer: -1490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 19862560 divided by 115480\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9100 and 21580.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 39*n**2 + 141*n + 38. Let i be j(-35). Solve -3*o = -v - 3*v - 9, i*v = -o - 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368179.4ml in litres?\nAnswer: 368.1794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cff when three letters picked without replacement from {k: 1, c: 4, f: 2, r: 1, o: 2}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*h - 5*c + 339988, -h = 4*c - 84988. What is h rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13817103371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*r**3 + 21180*r**2 + 1723725*r - 265690 = 0. What is r?\nAnswer: -163, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-4 + -3 + 4)) + (352 - 310)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**2 - 14*n - 1. Let p be k(11). Suppose -5*i = -p - 81. Let l = 82 - i. Sort 4, l, -7 in ascending order.\nAnswer: -7, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*a + 55. Let l = a - -3. Suppose -3*x + p = -6, 3*p + 3 = l. Solve -x*g + 4 + 5 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 24. Calculate the remainder when 44 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -27753*t**2 - 1 + 13872*t**2 + 1 + 13877*t**2. Let l(n) be the second derivative of 4*n**4\/3 + 16*n. What is j(l(g))?\nAnswer: -1024*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 - -51. List the prime factors of i.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7865 - -10640. Is y 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 712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 401*d + 633*d**3 - 401*d - 617*d**3.\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*x**3\/19 + 6904976*x**2\/19 - 8439438*x\/19 + 1534444\/19 = 0. What is x?\nAnswer: -383611, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9286407 is divided by 296.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2015*z**2 - 6022*z**2 + 1994*z**2 + 2011*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of 0*r**6 - 8*r + 1\/42*r**7 - 1\/20*r**5 + 0*r**4 + 0*r**2 + 0*r**3 + 0. Factor w(f).\nAnswer: f**3*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11754779.\nAnswer: 11754779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 12 = -5*f, 5*f - 28 = 7*o - 70. Factor 3\/4*l**4 + f + 0*l**3 + 0*l - 3\/4*l**2.\nAnswer: 3*l**2*(l - 1)*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40 - c + 338*c**2 - 844*c**2 + 42 to the form b + m*c**2 + f*c and give m.\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 3*m**2\/2 - 4731*m\/2 + 134343 = 0.\nAnswer: 59, 1518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 100*z - 1097. What is p(-110)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 439770741 to the power of 1\/3, to the nearest integer?\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 1153*x - 16150. Give u(14).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -372*y + 5987. Give n(16).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-18) - (-3)\/(54\/(-2)). What is the closest to 0 in 0.4, 1.5, -1\/4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-1 - 4) + 6 - -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*47\/8 + (-6)\/24. Is -105\/8 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0132 + 0.013199498. What is h rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2038.514 days in microseconds?\nAnswer: 176127609600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 325\/(-338)*-13 - 24\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-21 - -9) + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -969 - -971. Solve 2*w + w + 6 = -3*h, 0 = c*w - 4*h + 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*f + 157*f + 14 = 85*f. Suppose 0*n = -3*n. Put 3, n, f in decreasing order.\nAnswer: 3, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(18\/(-10) - -2). Let x = 3 - 2. What is the third smallest value in k, x, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g + 12 = 4*y, 0 = 2*y - 623*g + 622*g - 9 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**2*a**6*a*(a**(-1))**(-26)*(a**(-2\/3)\/(a**(-6\/7)*a))\/(((a\/(a*a\/a**(-2\/11)))\/a)\/(a**(-6)\/a*a)) assuming a is positive.\nAnswer: a**(7247\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 17 = 5*h - 3, 4*i - h + 4 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 69\/14, -4, 2\/7, 2\/5, 0.17?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/12*6\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 - 8 + 4*u + 11 - 8 + 5*u**2. Let y(c) = 1. Let k(l) = -l**2 - l + 5. Let s be 12\/2 - 4\/2. Let i(n) = s*y(n) - k(n). Give -6*i(a) + z(a).\nAnswer: 2*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-4)\/36)\/((-126)\/(-162)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*a = 0. Let m = -2\/35 + -29\/105. What is the nearest to -0.2 in m, a, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 11) to base 16.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31300.082916 - -31300. Let n = 0.083 + y. Round n to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -299, -298, -297?\n\"Answer: u - 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 3*k + w - 5, -k - 20 = -4*w. Suppose 0*c + 5*c - 10 = k. List the prime factors of -2*((-11)\/c - 0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -138 - -218. Calculate the lowest common multiple of k and 110.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 42305926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21065406 by 6.\nAnswer: -3510901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**4\/c**(-2\/5)*((c\/(c*c*c*c*c**(2\/5)*c*c))\/c)**(16\/7) assuming c is positive.\nAnswer: c**(-358\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -50 + 15. Which is the second smallest value? (a) -3 (b) -1\/9 (c) n (d) -4\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472*d = -467*d - 15, h - d - 5*d + 22 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 328410 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 3. Suppose -10 = 2*v + 5*z, -3*v - 2*z = -7*z - 35. Calculate the remainder when q(-6) is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/8*4)\/(1*(-2)\/(-2))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -363 + 366. Let i = -0.4 - -0.1. Which is the third smallest value? (a) i (b) 6 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.0521 - 0.0521. What is the nearest to 0 in 2\/5, -0.1, g, -2\/17?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -725*b**3\/3 + 23*b**2 - 9*b + 936. What is the second derivative of g(j) wrt j?\nAnswer: -1450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + 0. Solve o = 5*x + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -14)\/((-7)\/3*660\/(-1540))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**11)**45 assuming i is positive.\nAnswer: i**(-450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**3 + 11*v**2 - v - 13. Let g(f) = -2*f**3 - 9*f**2 + 12. Let i(b) = 5*g(b) + 4*p(b). Let a be i(2). Solve -x - x = -8, l + 2*x - a = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 47171, 94424, 141677?\n\"Answer: 47253*v - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -2\/3, 1, 21.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-9 - (16 + -13)) + 17\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53192022 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29 or -28?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + u**3 - 3)*(2 - 1 + 1) + 50*u**2 + u**2 + 7*u**2 + u**3 to a*u + t + l*u**3 + d*u**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 28 + 17 = 0. Let c be 3*q\/(-6)*4. Suppose -2*t + c + 26 = 0. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -8 + 0 + 1 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -90*c**2*j**3*v + 108*c*v - 2107*j**3*v + 4*v wrt c.\nAnswer: -180*c*j**3*v + 108*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 22*y**3 + 191*y + 2772. Let v(n) = -32*n**3 - 381*n - 5539. Let g(r) = 5*i(r) + 3*v(r). What is the derivative of g(o) wrt o?\nAnswer: 42*o**2 - 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 200?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a millennium in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 9 = 39. Is 23 a factor of (-1)\/((-3306)\/(-552) - s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22\/9 - -82\/63. Let p be ((23 - 1)*-1)\/(-1). What is the common denominator of s and -2 + (p\/4)\/(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 726 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**2 + 2*s + 52. What is j(-9)?\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -0.1. Let t = 0 - o. Let v = t - -0.5. What is the biggest value in 3\/4, v, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-62 + 4)\/(2\/(-3)). Suppose 22 - j = -5*u. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/(-42)*2\/(-10).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**2 + 2*c - 1. Let f be -3 + 5 + -1 + 0. List the prime factors of h(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1260) + sqrt(1260) - sqrt(35))\/((sqrt(77)*-1)\/sqrt(11)) + (sqrt(3840) + (sqrt(3840)*-3 - sqrt(3840)))\/((sqrt(108)*-3)\/sqrt(9)).\nAnswer: 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141, 143, 143, 141?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8536 - 86 = 26*w. Let r = w - 323. Solve 0 = -r*o - 4*b - b - 21, o - 2*b - 3 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 1, 11, -284 in decreasing order.\nAnswer: 11, 1, -2, -4, -284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7460899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 89*n**3 + 3*n**2 + 5*n - 1. Calculate i(-1).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 784 + 1630. What are the prime factors of o?\nAnswer: 2, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + 0*c - 2*c + (-3 + 0 + 1)*(1 + 2*c - 1) + 6*c - 19*c - 5*c)*(2 - 5 + 2).\nAnswer: 20*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u. Let m(f) = -4*f + 1. Determine 6*h(d) - m(d).\nAnswer: 10*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -213*f**3 + 21*f**2 + f + 14. Let v(i) = 107*i**3 - 12*i**2 - 8. Give -7*v(a) - 4*z(a).\nAnswer: 103*a**3 - 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20333442044 + 11?\nAnswer: 20333442110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -688 + 727. Which is the third biggest value? (a) 1 (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -728*y + 3642. Let w be r(5). Solve -3*d + 17 = -4*s, -12*s = w*d - 14*s - 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/(7\/147)*28\/(-21).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28467847\/174 + 163609. What is the common denominator of p and -145\/24?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5597*u - 12103 = 5844*u for u.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3b7 + -8b1c8?\nAnswer: -8ab11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 - 4*i + 4. Let y be b(2). Let n be ((-3)\/(-24) - (-33)\/y)*4. Let x be 15\/(-20)*(-16)\/3. Solve -x*a - 3 = n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, 4, -4 in increasing order.\nAnswer: -4, -2\/21, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4 = 2*r, 0 = 4*s - 3*r - 9 + 3. Let m be s*(8\/(-2))\/(-4). Suppose m*f = 3*f - 105. Is f less than or equal to 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 15) to base 3\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - p - 106 = -331, -2*p = -10. Does 18 divide (-1573)\/b + (-2)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 149 = -v + 142, -3*z = 5*v - 883. Calculate the highest common divisor of 416 and z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 70*p - 1. List the prime factors of j(2).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**8\/r)\/r**(-8))\/((r\/(r*r\/r**5))\/(r\/(r*(r**(-2\/5)\/r)\/r))) assuming r is positive.\nAnswer: r**(67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-15) - (-3)\/(-9))\/(-2). Solve k = -7*d - 11*d - 18 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of -p**3\/3 - 3*p**2 + 18*p - 1. Let l(b) be the second derivative of b**3 + 17*b**2\/2 + 2*b. Determine 17*k(q) + 6*l(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46*o**2 + 3*o + 53*o**2 - 4*o)*(11*o - 2*o + 2*o).\nAnswer: 77*o**3 - 11*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1287 and 32461?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/42*(-21)\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (214 - 17 + 4194)*(-5 - u + 5) to g*u + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w - 54 - 6*w + w**2 + 14*w.\nAnswer: w**2 - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gnn when three letters picked without replacement from kknnngkknhkkkeg.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/15 + 4 + 44\/(-10). Sort 0.1, -2\/9, y, 1\/7 in descending order.\nAnswer: 1\/7, 0.1, -2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 812 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**5\/30 - 5*x**4\/12 + 8*x**2 + 2*x. Let h(n) = 0. What is n?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)\/sqrt(2)*5 + sqrt(14))\/(-2*sqrt(200)) + 0)**2 + 4 + 4.\nAnswer: 863\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u**(2\/9)*u)))\/u)**(2\/33)\/(u*u**5*u*u*u**3)*((u**(3\/16)\/u)\/(u\/(u*u\/(u*(u\/(u*u**5*u)*u)\/u))*u))**(-21) assuming u is positive.\nAnswer: u**(-470087\/4752)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -t**3 - 5*t**3 - 2127 + 2*t**3 - 3*t**2 + 124 with respect to t.\nAnswer: -12*t**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 2*w + 8. Let c(y) = 2*y - 1. Let m(i) = 3*c(i) + d(i). Determine v so that m(v) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - (-108)\/20)\/((-15)\/(-250)). Find the second derivative of -2 + c + 7*c**2 - 8 + u + 20*c**2 wrt c.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 0.1 (c) -5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-11)\/u)**(28\/3) assuming u is positive.\nAnswer: u**(-308\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: aea9 (base 15) to base 11\nAnswer: 25930","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 49*o + 1266. What is the smallest common multiple of 1134 and v(-24)?\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*n*w - 754*n + 11378*w + 2 wrt n?\nAnswer: -18*w - 754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-30)*35\/(-14). Suppose a = 29*u + 1. Solve s + u*s - 19 = -3*c, 15 = 3*c for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 588.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 330, 745, 1426, 2367, 3562, 5005, 6690, 8611?\n\"Answer: -o**3 + 139*o**2 + 5*o + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 31\/4. What is the third smallest value in 9\/4, o, -0.3?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.048 from -0.44.\nAnswer: -0.392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -0*h - 14. Suppose -h = -2*v, -v = 6*l - 2*l - 1125. What are the prime factors of l?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 659 + 756?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 10:30 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2445*h + 128 = 2437*h for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**9\/(i\/(i\/(i*i*i*i**(1\/7)))))**(-7\/2) assuming i is positive.\nAnswer: i**(-41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by -3*(-3)\/(-9) - -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 - 12921*f**3.\nAnswer: 3*f**3*(f - 4307)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 48722 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1222*j + 32*j**3 - 1189*j - 21*j**3 + 2411*j + 2.\nAnswer: 11*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzczcbgbzbzbrbzz. What is prob of picking 2 b and 1 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2833 = 12*a - 2929. Let y(n) be the first derivative of -7\/3*n**3 + a + 0*n**2 + 0*n. Let m(o) = -4*o. Give m(y(z)).\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/12 - 2\/(-12))\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/(-4) + (-5723)\/(-1940). Sort -113, a, 9 in decreasing order.\nAnswer: 9, a, -113","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + f - 1. Let n(j) = 10*j**3 - 4*j + 4. Calculate -n(r) - 4*w(r).\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 967*g + 971*g - 38, 0 = -39*s - 4*g + 242 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -6)*(-36)\/(-18). Solve 5*n - 2*r = 16, 2*r = -5*n + o - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 10*p**2 + 22*p + 11. What is k(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 4325\nAnswer: 865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and -13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 189\/(-105) + (-28)\/(-10). Sort t, -1, -29, -2.\nAnswer: -29, -2, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1498776873 to the nearest integer?\nAnswer: 1144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, e: 3, x: 1, m: 2}. What is prob of sequence eexm?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/8)\/((91\/112)\/(-13)). Suppose 11*i - 7*i = -4. Put 3, i, -5, s in ascending order.\nAnswer: s, -5, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1065, 4, -4, 0.3 in descending order.\nAnswer: 4, 0.3, -4, -1065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l**7*l))\/(l\/(l\/(l*l**(7\/3)))*l))\/(l**(1\/13)\/l**(-8)))**(-39\/4) assuming l is positive.\nAnswer: l**(757\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**6\/120 - p**5\/20 + p**4\/8 + 7*p**3\/6 + 1388*p**2. Determine k(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 8. Suppose -6*v = -n*u - v + 15, 34 = 4*u - 2*v. What is the least common multiple of u and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + 0. Let r = 0.67 + -4.67. Let p = -115 + 114.5. What is the nearest to b in p, 0.5, r?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/11 - 2789664*b**2\/11 - 5579336*b\/11.\nAnswer: 2*b*(b - 1394834)*(b + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -88784569*j**4 + 168055065*j**2?\nAnswer: -2130829656*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 1263 = -8*l. Suppose -i = 37 - l. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2696406 a multiple of 339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5892, 11822, 17752?\nAnswer: 23682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 83442888 a multiple of 747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 7 - 13. Suppose -h*u - 2 = q - 14, -3*q = 3*u - 18. Solve u*l = -0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -149 + 444. Let l = q - 287.52. What is l rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -6 - (-6 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1975 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 8*t**2 + 18*t - 19. Let k be a(-10). Is 1\/33 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3855 + 8384. Is l a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(-1*(0 + (-2)\/266)) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94304 (base 12) in base 7?\nAnswer: -1435342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2250\/(-2025))\/((-1)\/((-18)\/(-2))).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 4, i: 6, p: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v + 2*v**2 - 3*v + (-18*v + 68 - 68)*(0*v - 3*v + 5*v) - 5 + 5 - v**2.\nAnswer: -35*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 64306, 0, 4, 5, 1 in decreasing order.\nAnswer: 64306, 5, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1841484118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10645836*i**3 + 145*i**2 + i - 7608.\nAnswer: 63875016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -107 - -102. Suppose 0 = -3*h + 4*x - 30, -2*h - 2*h = -4*x + 36. Sort h, n, 1 in ascending order.\nAnswer: h, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 8 - 16. Suppose -4 = 3*f - 5*b - 0, 3*f + 2*b - 10 = 0. Let s be y\/f*(1 + 1). Solve 3*j + 8 = s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kizozkookokzjjoz. What is prob of picking 1 k and 1 z?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 276516 to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47.61 - -48. Let y = p - -20.61. Let k = -18 + y. Sort -4, 0, k.\nAnswer: -4, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8941 - 9092. Suppose 3*k - 5*k + 514 = 0. Let n = k + w. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6623 and 2327.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-15)\/10)\/((-6)\/16). What is the highest common factor of 6 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 2 - (6 - -40 - 12 - 13).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152 and 50388?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 481 = -77. Let i be 66\/44*8\/f. Sort 0.4, i, 1 in increasing order.\nAnswer: i, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence etn when three letters picked without replacement from letne.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*t - t - 170, 3*r + 164 = t. Let b = 256 - t. List the prime factors of b.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 + -264\/5. What is the second biggest value in 4, 1\/7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 3*s**2\/2 - 9*s + 1. Suppose 2*u + 3*n = n + 12, 22 = 3*u - n. What are the prime factors of v(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ly when two letters picked without replacement from ljyxxjlyllyyl?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -132.\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**7\/70 + 3*i**6\/50 - 3*i**5\/50 - i**4\/10 + 3*i**3\/10 - 3*i**2\/10 + 2*i + 179. Factor w(z).\nAnswer: -3*(z - 1)**4*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 703\/66 + -65\/6. Sort h, 0.5, 2, 1\/5 in decreasing order.\nAnswer: 2, 0.5, 1\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 9*g + 2*s - 382, -5*g = 3*s - 383. Solve 18*a = -20*a + g for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*a + 17, -6*w + 44 = 248*a - 246*a. Is a bigger than -1\/6442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - d = 0. Suppose d*a = 3*a - 102. Let j(h) = -52 + 16 - 11*h + 53. Let q(s) = -2*s + 3. Give a*q(f) - 6*j(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -87162 and -0.6.\nAnswer: -87162.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -20 - (-396 - -393).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9028 - -15600. Is o a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32325, 4, -3346 in descending order.\nAnswer: 32325, 4, -3346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)*f\/(f*f\/(f*(f*f**(4\/9)*f)\/f)*f)*f**(-5)\/f**21)**(-1\/20) assuming f is positive.\nAnswer: f**(239\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -38, -36, -32, -26?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = -4*b - 198, -5*b - 1486*r + 1490*r - 132 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.73 - -0.83. Let l be 4 + (-258)\/33 + 4. Which is the nearest to h? (a) 1 (b) 3\/7 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -12*p**2 + 6*p + 222. Let m(a) = -7*a**2 + 3*a + 111. What is 3*f(t) - 5*m(t)?\nAnswer: -t**2 + 3*t + 111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -11*s**4\/4 + 224*s. Let t(c) be the third derivative of c**4\/12 + 8*c**2. Give v(t(q)).\nAnswer: -132*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9876?\nAnswer: 2, 3, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j. Suppose -o - o = 0. Let n(i) = -i - i**2 + o*i + i. Determine n(d(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 57*r**2 + 52390*r - 52390*r to w*r**2 + c + o*r and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -515*u = -760 + 3602 + 3338 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -67? (a) -3\/8 (b) 12 (c) 2 (d) 2\/21 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*t = 0, 3*t - t = 0. Suppose -29*b + 12 = -23*b. Suppose 0*p - 3*r = -b*p + 3731, 2*p + 5*r - 3707 = u. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4\/5)*d)\/(d*d*d**(4\/9)*d))**(-15) assuming d is positive.\nAnswer: d**(146\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3526797?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7286, -7236, -7152, -7034, -6882, -6696, -6476?\n\"Answer: 17*v**2 - v - 7302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-10))\/((-1)\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012805 to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12864 divided by -16.\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*b**3 + 99*b**3 - 720*b**3 + 69*b**3 + 129*b**3 + 61*b**3 + 2.\nAnswer: -242*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 14\/5*f**2 - 6\/5*f = 0. What is f?\nAnswer: 0, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-14) + (-156)\/42. Sort 4, -2, w in decreasing order.\nAnswer: 4, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 13 = 3. Suppose -519 = -4*z + 5*h - 47, -5*h = b*z - 266. What are the prime factors of z?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/75)\/((-1)\/(-2)). Which is the third smallest value? (a) 3 (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10941 = 4*d + 3*p + 3290, 10692 = -3*d + 4*p. What is d rounded to the nearest one hundred?\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -191, -9, -18, -433, -4, -2 in descending order.\nAnswer: -2, -4, -9, -18, -191, -433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1170?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2107.66*-0.6\nAnswer: 1264.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 1. Let h be s(-2). Suppose -5*v - 40 = -4*o, 0 = 4*o + 2*v - 3 - h. Suppose 3*a - o = 1. Solve 21 = -5*d - a*f, -f = 2*d - 3*f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 322180?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 48 - (-47 - -5) - ((-1 - -1) + -64)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooeoeee. What is prob of picking 4 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**2 - 5*n**4 - 2*n**2 + ((-35 - 49 + 34)*(-3 + 1 + 0) + 2 + 0 - 4)*(-6 + 6 + 4*n)*(2*n**3 + 0*n**3 + 0*n**3).\nAnswer: 779*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/f**(1\/5)))**(1\/19)\/(f**5\/f**8) assuming f is positive.\nAnswer: f**(291\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 322 and 33166.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4*k - 3. Let v be h(9). Suppose 5*c = 4*d - v + 1, -d - 5 = 2*c. Let o(s) = s**2 + 4*s - 2. What is o(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*(3*sqrt(468))**2 - (6*(5 + sqrt(468)))**2)*-1.\nAnswer: -78516 - 6480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 22 - (-610 + 592).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-10))\/(10\/25)*(-5)\/5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 770827943 to the power of 1\/3, to the nearest integer?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4400*o**3 - 65*o + 128*o - 63*o - o**2 - 4418*o**3.\nAnswer: -8818*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 2*y**3 + 1 - 52*y**2 + 60*y**2 - 8*y**2.\nAnswer: 2*y**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 14*w**2 + 15*w + 4. Let r be a(15). Suppose 0 + 1\/6*k**r + 1\/2*k**3 - 1\/6*k**5 - 5\/6*k**2 + 1\/3*k = 0. Calculate k.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2689003927?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14.5 + -13.5. Let m = 7.3 - 7.2. Which is the closest to m? (a) -5 (b) k (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 165. Let i be g(12). Calculate the highest common factor of i and 236.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7641063.\nAnswer: 3, 53, 83, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 - 20*s**2 + 48*s + 576.\nAnswer: (s - 12)**2*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11852 - 11016. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - w**2 - w + 45. Let x = 8 - 8. What is the units digit of u(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -s**5\/60 + 7*s**4\/24 - 5*s**3\/6 - s**2. What are the prime factors of l(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 4\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 9*v**2 + 4. Let c be s(-9). Suppose -c = w - 10. Suppose -w*d - 5*h = -2*d - 18469, -12 = 4*h. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3086\/5 - -617. Sort 0.1, r, 3, 0.09.\nAnswer: r, 0.09, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 5, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-3 - (-4 + 9 + -4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4802 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -149922400 divided by 38840.\nAnswer: -3860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(2\/3))\/((t*(t\/t**(-2))\/t*t)\/t))\/((t**(1\/4)\/t)\/(t*t**(-6))) assuming t is positive.\nAnswer: t**(-67\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 11223?\nAnswer: -11222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 - 45. Calculate the remainder when 34 is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 797 - 13 = -q. What is the tens digit of ((-3)\/4)\/(7\/q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**2 - 8*w + 33. Determine o(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -4\/7 (c) -13 (d) 3\/7 (e) -1.9 (f) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*y - 25 + 25)*(-2*y + 2*y - y)*(3*y**2 + 24*y + y**2 - y).\nAnswer: -32*y**4 - 184*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a - 3. Let l be d(-3). Let s = -8 - -4. Let h = l + s. Calculate the lowest common multiple of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 92 - 121)*(-3*x + x + 5*x) to i*x + z and give i.\nAnswer: -645","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 16 = -4*w, 2*y - 3*w + 4 = 21 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 8. Calculate the remainder when 15 is divided by t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0068 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.38+-4.846303106\nAnswer: -4.466303106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 426, 1692, 3802, 6756, 10554, 15196?\n\"Answer: 422*d**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -154*j**2 + 13*j + 1313 - 2680 + 1319 wrt j.\nAnswer: -308*j + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40*-1.1\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2944 + -2940. Solve -2*i + 5*h = -25, 3*i = l*i - h - 8 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.899 less than -0.2?\nAnswer: 0.699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 238.113 + -238. Let m = -4.887 - d. Which is the nearest to 1? (a) -2\/3 (b) 0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1053027?\nAnswer: 3, 43, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 605.582 + -605. Let o = -407.99 - -407. Let q = t + o. What is q rounded to 2 dps?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 7*i**4\/24 - i**3\/2 + 16*i**2. Suppose 0 = 14*v - 13*v - 12. Let j be 50\/(-20)*v\/10. What is y(j)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65442366.4069 + 65436385. Let n = z - -5932.4068946. Let o = -49 - n. Round o to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -24024237?\nAnswer: -24024238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**2\/9 - 2836576*h\/3 + 1005770425472 = 0 for h.\nAnswer: 2127432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 105949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b**(-2\/15)*b*b**(-3\/4) assuming b is positive.\nAnswer: b**(127\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 247416 and 226798.\nAnswer: 2721576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 15 = 0, -14*y + 15*y + 2*q - 166 = 0. Let n(t) = -y*t + 89*t + 19 + 66*t. What is n(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28\/15987555 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3 - -4)*1)\/2*42. Let q = y - -63. Is 21 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*1*6)\/(sqrt(55)\/(sqrt(45) - sqrt(5))).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*w + 7*w + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c - 20350712 + 20350712.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1488696509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 3*k + 7, 2*k = -5*v - 16 + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 329.4879 micrometers in centimeters?\nAnswer: 0.03294879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 10 = 5*j, -4*d + 2*j + 0 + 4 = 0. Suppose -z = -d*z - 13. Calculate the remainder when z is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 - 2. Let y = s - 36. Suppose -y = -0*r - 3*r + 5*z, 0 = -3*r - z + 23. What is the remainder when 24 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -2 (b) -3 (c) 174\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 319 divided by -2751\nAnswer: -319\/2751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 91765 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: Let m = 0.06 + 2.94. Let y = 13.6 + -13.3. Which is the smallest value? (a) 1 (b) m (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -3\/7, 65, -1\/5, 1, 5 in descending order.\nAnswer: 65, 5, 1, 0.5, -1\/5, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - 0. Let d = w - -6. What is the remainder when 10 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17413482 is divided by 6500.\nAnswer: 6482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4271, 8120, 11969, 15818, 19667, 23516?\nAnswer: 27365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6334067 to the power of 1\/2, to the nearest integer?\nAnswer: 2517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 996*f - 1671*f - 29325 = -975 for f.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + (1 - 0))*22 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 860 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18447 - 2578?\nAnswer: -22136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6155 is divided by 108.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.134 and 0.12036568.\nAnswer: 0.25436568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 4) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z = 63491 + 533209. What is z rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -509701220 divided by 12460\nAnswer: -40907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 3 + 6. Let c(w) = 4*w - 1. Let x = -9089 - -9084. Let f(d) = -2*d + 1. Determine g*c(a) + x*f(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y - 5506 + 474. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 185*d - 183*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7))**23*(g*g**3\/g*g)**14 assuming g is positive.\nAnswer: g**(-105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 72, 104, 144, 198, 272, 372, 504, 674?\nAnswer: 888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17491*p - 1721990 + 540836 - 970857 = 16873 for p.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 933 or 936?\nAnswer: 933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -506*z**3\/3 + 4370. Let b(i) = -4*i**2. Determine b(p(h)).\nAnswer: -1024144*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**5\/p)\/((p\/(p\/((p\/(p*p*p*p*p**12))\/p)))\/p))**41 assuming p is positive.\nAnswer: p**861","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/1960 and 29\/1372.\nAnswer: 13720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2221*v**2 - 1834*v**2 + 5340*v**2 - 1987*v**2.\nAnswer: -702*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 3*k + 10. Give t(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -841, -3335, -7491, -13309, -20789?\n\"Answer: -831*y**2 - y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - ((-1962)\/6 + 9). Is f at least as big as 320?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -25. Let w(u) = -2*u + 7. Let g be w(5). Which is the third biggest value? (a) g (b) s (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -y**2\/2 - 2*y + 4. Let d(q) = 2. Let z(x) = 199*x - 997. Let a be z(5). What is a*o(g) - 3*d(g)?\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 + -13. What is the closest to 0 in 5, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2179051 decades to centuries.\nAnswer: 0.02179051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -11*l + 1. Suppose 29*c + 259 + 176 = 0. Let q be (9\/6)\/(3\/32). Let k = c + q. Give t(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**3 + t + 5*t**3 - 2*t + (-262*t + 140*t - 825 + 123*t)*(0*t**2 - 2*t**2 - t**2).\nAnswer: 2*t**3 + 2475*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14428 not equal to 14427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11675460?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 317 - 312. Solve 0 = s - 2*v + 5, -3*s + 3*v + 1 = q*v for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -d**6\/50 + 6*d**5\/25 + 151*d**4\/10 - 312*d**3\/5 + 189*d**2\/2 + 6158*d. Find x such that q(x) = 0.\nAnswer: -15, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 13*b + 21*b - 2*b in the form t + d*b and give d.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -1 + -3 - (-54 - -58).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**4*w**3 - 158*q**4 + 2*q**3*w**3 + 2*q**2 + 23*q*w**3 + w**3 wrt q?\nAnswer: -48*q*w**3 - 3792*q + 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-6)*-1)\/((-1)\/((-6)\/9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.4086 or 1285?\nAnswer: 1285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.1 + 2.11. Which is the nearest to -1\/4? (a) 3 (b) w (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 (base 15) in base 14?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*u + 28*u. Suppose u = 5*c - 4 - 21. Suppose 6 = -c*o + 7*o. Solve -o*s + 4*s = 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (131*u + 196*u - 229*u)*(-u - 2*u + 0*u)*(0 + 0 - u) in the form s*u + z*u**2 + a*u**3 + f and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10667\/79 - -135. Let z be -1 + 14924\/2844 + -4. Let h = w + z. Sort h, -0.2, 1 in descending order.\nAnswer: 1, h, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -93.5 and -98782314849.\nAnswer: -98782314942.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 67*y - 67*y + 63*y**2 as j*y + a + z*y**2 and give z.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -984 divided by 3\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -192313877.615 + 310330.615. Let p = y + 192003548.60000126. Let n = p - 1.6. What is n rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -57\/5. Let t be (3 + 3)*(-1)\/(-3 - -1). What is the closest to 0.1 in u, t, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 4*w + 13. Let k be a(3). Solve -5*z - k = -25 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 52 + (1\/(-3) - 30\/(-9)). Let u = -81 + c. Is -1 + (-6218)\/(-7) - u\/(-91) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of r**6\/45 + r**5\/30 - 23*r**3\/3 - 22. Let a(j) be the third derivative of l(j). Solve a(w) = 0 for w.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18936 - -18952. Calculate the greatest common divisor of b and 21968.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2033 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) -0.6 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/80 + (-2)\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -b**4\/42 - b**3\/21 + 8*b. Factor c(f).\nAnswer: -2*f*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 19\/76 - (-11)\/4. Solve 7 = b*z - 5*h - 9, -z = 3*h + 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 718 is divided by 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*o + 272*o = 128*o + 27 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -223432 (base 5) to base 13\nAnswer: -383a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 50*i**2 - 72*i**2 + 40*i**2. Let d(w) = -10*w. What is r(d(m))?\nAnswer: 1800*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8628 and 16929574?\nAnswer: 101577444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277959 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 8:57 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/(-45)*-3 - -6)*3. Suppose 0 = b + 4, j - 4*b - i = 5. Calculate the remainder when 309 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3856*-5.\nAnswer: -19280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 9*a**2 - 11*a - 4. Let l be x(-10). Let q be 16 + (2 - (12 - -11)). Sort q, -1, l, 5 in ascending order.\nAnswer: q, -1, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 9:22 PM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (57 - -25) - 1?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/9, 0, -0.4, -671 in decreasing order.\nAnswer: 8\/9, 0, -0.4, -671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*c - 216*c = 4520. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -88*i**5 - 590*i**3 + 9*i**2 - 7081*i wrt i?\nAnswer: -5280*i**2 - 3540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 161 (base 14) in base 12?\nAnswer: 1b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 18*x**2 + 40*x - 700. Let h(w) = -6*w**2 - 15*w + 231. Give -8*h(s) - 3*v(s).\nAnswer: -6*s**2 + 252","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(7) + -4)**2*-6 - (sqrt(28) - 4*(4 + sqrt(28))).\nAnswer: -122 - 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of x**2 - 40*x + 388. Let d(g) = 2*g - 3*g - g + g. Determine d(c(b)).\nAnswer: -2*b + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1343\/15 - 283\/3. Let s = -30 + 38. Let x = s + -12. Are x and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -377.713553 to zero decimal places.\nAnswer: -378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -4) + (-1 - 1). Let i be (2 - y) + 30\/2. Suppose -h = 4*t - i, -3*t - 2*h + 13 = -0*t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42559 divided by -583?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -21, -1\/3, 8675?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert c47f (base 16) to base 3.\nAnswer: 2120000002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrwwoopmnwr. Give prob of picking 1 p and 2 o.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47557 is divided by 760.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-6)*3*4. Find the second derivative of 442 - 442 + 3*b - 2*b**5 - l*b wrt b.\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.1 - 1. Let i = 0 + l. Let a = i + 0.75. Round a to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-17)\/(17\/(-466)) + (1 - 0). Let d = 463 - r. Sort -74, 0, d.\nAnswer: -74, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.74, -1390 in descending order.\nAnswer: 5, -0.74, -1390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 12*r**2 - 4*r - 1. List the prime factors of h(-6).\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*t - 3*t**2 + 4*t**2 - 4*t**2 - 3*t**2.\nAnswer: -6*t**2 - 62*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**3 + 101*v + v**3 - 62*v.\nAnswer: v**3 + 39*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 9*g**2 + 6*g. Is z(6) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 180857756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 3*s**2 - 6*s - 6. Let y be b(-4). What is the first derivative of -5*n**2 + 3 - 2*n**2 + 4*n**y wrt n?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45922 divided by 1550\nAnswer: -22961\/775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*f - 4*h, -2*h + 1 - 7 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 250769356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 32 * -1385\nAnswer: -44320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 199, 631, 1297, 2191, 3307, 4639, 6181?\nAnswer: 7927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1\/(-11)*248\/(-4712)*-532?\nAnswer: 56\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2721)\/(3763\/(-4452) - (-2)\/21). Is l greater than 3628?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**8\/4032 + r**7\/72 - 7*r**4\/12 + 11*r + 5. Let o(w) be the third derivative of v(w). Factor o(g).\nAnswer: -5*g**2*(g - 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14268, -66648, -153946, -276162, -433296, -625348, -852318?\nAnswer: -1114206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156, -159, -164, -171, -180, -191?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 27 + 10 + 182*d.\nAnswer: 182*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -572? (a) -1\/8 (b) -0.945 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -279 - -0.13.\nAnswer: -278.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzjnnnnzj?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*y - 5*j + 15 = -24*y, 0 = -2*y - 5*j + 12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 4*v**2 + 18560*v + 608124 = 0.\nAnswer: -4607, -33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 2*k - 6*k + 5 + 2*k**3 to a*k + c + m*k**2 + u*k**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, 2\/3, 387, -1\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 a factor of 401034165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2. Let g(u) = 4*u. Let r(y) = 3*y. Let d(p) = 5*g(p) - 7*r(p). Let i(l) = 6*l**2 - 5*l. Let b(q) = 15*d(q) - 3*i(q). Give b(x(n)).\nAnswer: -72*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**2 + j + 336. Is v(0) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n - 4. Let f(o) = 3*o + 3. What is -5*a(g) - 6*f(g)?\nAnswer: -8*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 16 = -5*k, 0 = 5*i - 0*k + 2*k - 6. What is the third derivative of 3*m**6 - 189*m**2 + 215*m**i - m**6 wrt m?\nAnswer: 240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-5) + (-13)\/(65\/(-28)). Let u(n) = -n + 7. Give u(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25 or 221\/16?\nAnswer: 221\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1658014?\nAnswer: 2, 719, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 24 = 4*n + 2*b, 4*b = 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 90\/(-21)) + (-24)\/84. What is the remainder when (426 - (-11 + c))*2\/3 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (1*sqrt(2299) - sqrt(2299))*-6 + sqrt(2299) - (-1*sqrt(931) + 2 + -6*(sqrt(931) + -1)))**2.\nAnswer: -720*sqrt(19) + 68436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 294951891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 3. Let h = 4 - 4. Which is the closest to w? (a) 5 (b) -2\/9 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7006, 1\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6602703563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 38*c**3*h - 3*c**3 + c**2*h - 6*c*h - 7*c + 190*h + 6793 wrt h?\nAnswer: 38*c**3 + c**2 - 6*c + 190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-3)*3\/(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -98 - -95. Let w be (-30)\/(-12)*(57\/15 + k). Sort -5, -1, w, 1 in ascending order.\nAnswer: -5, -1, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 85?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9259?\nAnswer: 47, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/3? (a) -2\/9 (b) -1\/3 (c) -0.074\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-9)\/(-12)*440\/396).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3\/1382638?\nAnswer: 3\/1382638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3971c + -506?\nAnswer: -39c25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -118*f**6 - 7*f**5 - 2*f**4 + f**2 - 4742 wrt f?\nAnswer: -14160*f**3 - 420*f**2 - 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42512 + -11?\nAnswer: -42523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3920650 (base 10) in base 16?\nAnswer: -3bd30a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 222 + -222.1. Let q = 1.1 + -2.1. Let b = 1 - q. Sort b, 5, o, -3\/8 in decreasing order.\nAnswer: 5, b, o, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**3 + 18*q**2 - 36*q + 3. Determine w(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 94 = -3*b, 2*o - 6*b + 126 = -b. Let u be o\/(-5) + 3 + (-65)\/25. Let k = 14 - u. What is the smallest common multiple of k and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 3:22 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49.95 - -49.97. Which is the third biggest value? (a) -2\/17 (b) -0.5 (c) p (d) -3 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -316.3 - -299. Let s = o - 5.7. Let y = 22.8 + s. Which is the third biggest value? (a) y (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62919958.\nAnswer: 2, 17, 1850587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/3 + 13*h**2\/3 + 92*h - 96.\nAnswer: -(h - 24)*(h - 1)*(h + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a**2 + 361*a + 1030. Let t be c(93). Let n(k) = -k**3 + 9*k**2 + 3*k - 6. Calculate n(t).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -9. Let f(h) be the first derivative of 1\/4*h**4 - 2 + 0*h + 2\/3*h**3 + 0*h**z. What is the third derivative of f(k) wrt k?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 4*h + 83, h = k + 6*h - 15. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -638 - -637.542. What is c rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159554224 to the power of 1\/2, to the nearest integer?\nAnswer: 12631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*(-150)\/(-135)*(-362)\/905.\nAnswer: 56\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12.1 - -12. Let t(d) = -d**3 - 2*d**2 + 3*d + 4. Let h = 7 - 10. Let o be t(h). What is the second biggest value in a, o, -2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -121, -0.176, 1\/7?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s + 17. Let d be 40\/(-50)*60\/(-8). Determine w(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 6:57 AM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/10 - ((-142)\/923 + (-4589)\/15210)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-24))\/(((r**(-1\/4)*r)\/r)\/r) assuming r is positive.\nAnswer: r**(-87\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 0*l + l - 5*l + 2*l. Let c(n) = -n**2 + 2*n**2 + n**2. Calculate j(c(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 44 = -28, 3*f = -5*u + 309157. Suppose -3*l - 4*q = -u, -56654 = -3*l + 2*q + 5163. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*u + 3*u + 0*u)*(-3 + 2 - 2 + (4 + 0 - 3)*(-2 - 2 + 2)) in the form t + b*u and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.71 + -276.71. Let y = v - 176. Let w = y + 446.999999423. Round w to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -adc4c (base 15) to base 10.\nAnswer: -552897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**2 + 0 - 2*w**2 - 3*w + 4. Let j be ((-8)\/4 + 14)\/2. Is 11 a factor of p(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 143092 divided by -92\nAnswer: -35773\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 3. Solve 0 = -z + 2 + h for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -776 - -2?\nAnswer: -774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.01 or -2501?\nAnswer: -2501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 - 16*t - 56. Let i be d(-8). Solve -2*h + 4 = -0, 4*h = -4*l - i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 2)*20\/25?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -506183, -506739, -507295?\nAnswer: -507851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13875*b - 134 - 66 + 13876*b.\nAnswer: b - 200","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -28, -15, 2?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 139705 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69439.\nAnswer: 69439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1648 + 9*u - 12*u - 1648 - 19*u.\nAnswer: -22*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 + 41.9999956. Round h to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.623 + 0.323. What is the third smallest value in -5\/7, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 858?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -6*s**2 - 86*s + 256. Let d(m) = 17*m**2 + 256*m - 767. Let l(j) = -4*d(j) - 11*f(j). Let l(w) = 0. What is w?\nAnswer: -42, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 594*b**5 - 20682*b**4 - 86202*b**3 + 748210*b**2 - 1415600*b + 832000 = 0.\nAnswer: -8, 5\/3, 416\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from akfkjykjkafysfyj?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-6) + 6\/(-4). Suppose 5*i + j*i - 4*a = 30, 5*a + 19 = -3*i. What is the second derivative of 3*q**2 + q + 3*q - q - 4*q**i wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -11*m**5\/10 + m**4\/12 + 5*m**3\/6 - m**2\/2 + 42*m + 1. Does 95 divide v(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2763152 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, g: 8, r: 1, j: 3, f: 4}. What is prob of sequence rxf?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/14, -185, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b + 10. Let w be i(-7). Let y(a) = -4*a - 7. Let t(u) = -5*u - 7. Let s(g) = w*y(g) + 3*t(g). Calculate the least common multiple of 24 and s(2).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and 28?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1724196 months in years?\nAnswer: 0.0143683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and 1.7.\nAnswer: -20.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -334, -721, -1108, -1495, -1882, -2269?\n\"Answer: -387*s + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 472980793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 130025 + 4?\nAnswer: 130033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (605\/(-847))\/((-9)\/21)*(-7)\/((-13300)\/24).\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 440736721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5049059017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18.8 + -213176.465.\nAnswer: -213157.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5403923 divided by 131803.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 18*z**2 + 317*z - 55. Let k be p(-29). Solve -d - k = 2*v, -4*d - 2*v = -0*v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.5 - 2. Let u = 0.9 - 1. Suppose 0 = -3*n - 2*o - 2, 4*n + o + 0 = -6. Which is the closest to u? (a) f (b) -0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182195 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 3*n + 0 + 0*n**3 + 0*n**4 - 1\/2*n**2 + 1\/5*n**5. Find the first derivative of x(s) wrt s.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -0.2, 4, -20 in decreasing order.\nAnswer: 4, -1\/6, -0.2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**6\/120 + z**5\/10 - z**4\/12 - z**3\/3 - z**2. Let t be m(2). What is the highest common divisor of t and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + t**2 - 2*t - 1. Let s be (3\/(-2))\/((-8)\/(-16)). Determine r(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80176 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278771 + 277237 = 48*a + 11*a for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3672318 and 7935.\nAnswer: 1587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ddrrddcdcddr?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -907, 0, 4.\nAnswer: -907, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 8*h + 40, -4*u - 290 = -2*h - 300 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/12 and -23\/96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3015\/13 - 232. Suppose -s = -0 - 1. Which is bigger: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -555 - -550. Let s(n) = 18*n**2 - 3*n - 51. Calculate the remainder when s(t) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 529, -245, -1535, -3341, -5663, -8501, -11855?\n\"Answer: -258*f**2 + 787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 7. Let u(b) = -b**2 + 4. Let h(m) = -11*u(m) + 6*x(m). What is the first derivative of h(n) wrt n?\nAnswer: 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 - 43. Let m be (-5)\/(-25) - 38838\/165. Let y = -235 - m. What is the nearest to y in -4, -1, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 2 - 1\/6*f**4 + 18*f - 19\/3*f**3 + f**2 - 1\/10*f**5. Find the second derivative of t(v) wrt v.\nAnswer: -12*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*m**3 + 20258826762*m**2 - 20258826762*m**2.\nAnswer: -19*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 174930, 350143, 525358, 700575, 875794?\n\"Answer: o**2 + 175210*o - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 9 + 1 = 0. Let u = 26 - 27. Calculate the remainder when (u - (-2)\/6)\/((-42)\/1323) is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 138\/(-69)*1*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11614 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 i when two letters picked without replacement from {i: 5, e: 7}?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 2:13 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1368082, 2736165, 4104248, 5472331, 6840414, 8208497?\nAnswer: 9576580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 256?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -i**6\/20 + i**4\/3 - 3*i**2. What is the second derivative of q(t) wrt t?\nAnswer: -36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3787403 or -3787406?\nAnswer: -3787406","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0.2, 5, 8653?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-290)\/348 + 15\/9\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3463, -26888, -90475, -214306, -418463, -723028, -1148083, -1713710?\n\"Answer: -3347*r**3 + r**2 + r - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177564 is divided by 920?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(4\/3)\/x**(-3\/5)*(x*x*x**(-1\/2)*x)\/x*x**(-2\/7))\/((x*x*x**2)**(5\/3)\/(x*x*x*x*(x**0\/x)\/x*x)**(26\/9)) assuming x is positive.\nAnswer: x**(1081\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -18. Suppose -m*y + 2*y = 0. Let k = y - -4. Solve 3*h + 4 = k*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 4. Let t be -39 - (j - 1) - -2. Let g = t - -55. List the prime factors of g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8358.153 days in nanoseconds?\nAnswer: 722144419200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7233?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -72*l + 2326. Determine p(32).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/3 + (-55)\/15. Let y = f + 5. Suppose -3 = -h, a + y*h - 7 = 17. Solve m + n + 10 = -4*m, -4*n = -2*m + a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 116 + 456. What is the greatest common factor of 44 and a?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 29*w + 6. Let b(o) = o**2 - 25*o + 173. Let i be b(12). Let g(l) = 10*l + 2. Calculate i*g(f) - 6*p(f).\nAnswer: -4*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13803?\nAnswer: 3, 43, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.021 + 0.06. Let q = j + 0.961. Which is the nearest to -2\/7? (a) q (b) -0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*z = -24*z + 3*z + 1248 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -19\/5, -2, -5?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**20))\/s*s**(-15) assuming s is positive.\nAnswer: s**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Do 159098 and -178 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -17 (b) 0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 9, 5, -3, -15?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6131486.\nAnswer: 2, 3065743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 - -82. Let f be 56\/70 - (-8)\/(-20). What is the biggest value in 4, 1, f, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 u when four letters picked without replacement from uuuiuuuuuuiuuiuu?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0899? (a) 2\/19 (b) -2\/3 (c) -8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1046 + -436. Suppose k = -4*k + d. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -52 and -0.4.\nAnswer: 20.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**2 + 2*p**3 + 0*p**2 + (-9*p**2 + 24*p**2 + 8*p**2)*(2*p - 4*p + 0*p) to t*p**3 + f*p + i + l*p**2 and give t.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2278*p - 667*p - 35340 = 0 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 13. Let k be (-460)\/3 - q\/(-9). What is the common denominator of ((-6)\/(-28))\/((-4)\/k) and 4\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2642*w - 80271 - 189930 - 25703 for w.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -872 times 1.6?\nAnswer: -1395.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**2 - 1 + 1 - 8*g - 9*g**2.\nAnswer: -3*g**2 - 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**10\/((g*g\/(g*g*g*g*g\/g**(-15)))\/g*g))\/(g*g**(-10)\/g)**(2\/19) assuming g is positive.\nAnswer: g**(552\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2464665, -9858672, -22182017, -39434700?\nAnswer: -61616721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 308388981?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2180, -4339, -6516, -8717, -10948, -13215, -15524?\nAnswer: -17881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 r when two letters picked without replacement from yxxorrvyc.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from didxi. Give prob of sequence ii.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*v - 2*w - 6, -11 = -4*v + 5*w. Suppose 3*j - 626 = -5*l, -v*l - j + 352 = -153. List the prime factors of l.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 27. Let c(h) = -h**3 - 11*h**2 + 13*h + 21. Let b be c(j). Solve 5*z - 11 = b for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 4*q + 5 - 5. Let b(c) = 74 - 40 - 34 + 5*c**2. Give a(b(u)).\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23282?\nAnswer: 2, 7, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 862 - 160*m + 4*m - 1724 + 862. Let k(c) be the second derivative of c**3\/6 - c. Calculate k(p(u)).\nAnswer: -156*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8842 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1451 in 0.2, -4, -1\/3, -2\/5, -1\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 5227915.5ms in hours?\nAnswer: 1.45219875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 1261\/9, -0.4.\nAnswer: -0.4, -1\/6, 1261\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 344, 338, 320, 284, 224, 134, 8?\n\"Answer: -p**3 + p + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 261 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 2\/(-33) + (-426632)\/(-4488).\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 8*v. Let w(f) = 113*f**2. Calculate a(w(s)).\nAnswer: 904*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 54.69454t?\nAnswer: 54694540000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3287153495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2883*p**3\/8 - 93*p**2\/2 - 3*p\/2.\nAnswer: -3*p*(31*p + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 18. Suppose -7*o + 9 + 12 = c. List the prime factors of -4 + 100\/(o - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y**2 + 5*y**2 - 2*y**2. Let v(g) = 3*g**2 - 6*g - 28. Let u(l) = -l**2 + l + 7. Let q(a) = -4*u(a) - v(a). Calculate w(q(t)).\nAnswer: -2*t**4 - 8*t**3 - 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*g**5 - 39*g**3 + 1996*g**2?\nAnswer: -1980*g**2 - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.011 + 3.989. Let s be (-3)\/(-3) + -3 + 2. Let j be (3 - 5)\/((-30)\/(-9)). Which is the closest to -0.1? (a) j (b) d (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 860, 878, 916, 980, 1076, 1210, 1388, 1616?\n\"Answer: k**3 + 4*k**2 - k + 856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (2 - 4 - (12 - 19))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4 = 2. Suppose -q*a + 70 = 3*a. Calculate the highest common factor of 2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeke when four letters picked without replacement from eekkekkkkkkeke.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308109?\nAnswer: 3, 31, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 696 - 1810. Let a = y + 1113.271. Let l = a - -0.029. Does l = 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -686*k**4 - 688*k.\nAnswer: -8232*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382084831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 11*x**3 + 2*x - 5. Suppose 238 = 29*j + 30*j - 57. Let w(i) = -12*i**3 - 3*i + 6. Give j*b(l) + 4*w(l).\nAnswer: 7*l**3 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 381.9053l in millilitres?\nAnswer: 381905.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, 20749, 2, -6, 0 in decreasing order.\nAnswer: 20749, 2, 0, -5, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8163101, -8163102, -8163103, -8163104, -8163105?\nAnswer: -8163106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 857809 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrirrrrir. What is prob of picking 3 r?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*a, -4*a = 5*v - 9*a - 20 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.2 - 0.2. Let i = -0.3 - 0.7. Let w = 1 + i. Sort 0.5, w, f in ascending order.\nAnswer: w, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -107 + 191. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b + 3*b**2 + 0*b**2 + 3 - b**2. Let d = 8879 - 8882. Let j(v) = -2*v**2 - 2*v - 3. What is d*t(o) - 4*j(o)?\nAnswer: 2*o**2 - o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -19 - (64 - (10 + 58))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vqvvqvq.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6 = -0*o. Suppose -3*i + o*f + 192 = 0, 2*i - 5*f = 4*i - 156. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 172*l**3 + 32*l**2 + 71*l + 18 wrt l.\nAnswer: 1032*l + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*n = -0*n - 729485 + 732066 for n.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2 - 149*u**2 + 2*u + 24 + 7 + 39 wrt u?\nAnswer: -298*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 41 = -74. What is the remainder when j is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-two fifths of a millimeter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 21*n + 1145 - 1407, 0 = 5*w + 3*n - 46 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -13. What is the third derivative of -q*p**2 - 3*p**2 + 9*p**4 - p**2 - 2*p**2 wrt p?\nAnswer: 216*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t + 21\/2*t**4 - 98\/3*t**3 + 11 - t**5 + 1\/30*t**6 - 343\/2*t**2. Factor q(w).\nAnswer: (w - 7)**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 9*t + 6. Suppose -k + 7*k + 24 = 0. Let l(s) = s + 1. What is k*l(j) + y(j)?\nAnswer: 5*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + r + 26, -t + 2*r - 6*r = 14. Let q(w) = w**3 + 6*w**2 - 4*w - 22. Let f be q(t). What is the tens digit of -3 + f - (-84 + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13487\/63 + -1497\/7. Let d = 0.09 - -0.71. Let u = -1.3 + d. What is the second smallest value in -2\/5, 3, a, u?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 + -100?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**4\/12 + 2*r. Let b(g) be the first derivative of -11*g**2\/2 + 9. What is c(b(v))?\nAnswer: 121*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*y + 4*y - 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 4*h**2 + 5*h - 5. Suppose 0 = 3*y - 66 + 21. Let n = -11 + y. What is the remainder when r(n) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 150316489, 300632978, 450949467, 601265956?\n\"Answer: 150316489*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of q**7\/70 - q**6\/10 + 27*q**5\/100 - 7*q**4\/20 + q**3\/5 - 2*q. Factor r(k).\nAnswer: 3*k*(k - 2)*(k - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 11, z: 2, u: 1}. What is prob of sequence zg?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 3*c. Let p be s(4). Suppose -4*z + p = -56. Suppose -3*u = 9 - z. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**3*p + 110106*m**3 - 5481*m*p + 6*m wrt m.\nAnswer: 6*m*p + 660636*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6193*n - 64 = -6185*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 9:46 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*b + 979 = 29 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423 is divided by ((-142)\/(-8))\/((-5)\/(-20)).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 820 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1973247195 to the nearest integer?\nAnswer: 44421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (15 - (21 - 6)) + 1490\/2 - 3.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -186\/11 or -17?\nAnswer: -186\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -130999*i**2*j**3 - 10*i*j**3 - 351*i*j**2 - i wrt i?\nAnswer: -261998*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66 + 131. Suppose -c = -60 - k. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -252993017*x + 179678203 wrt x?\nAnswer: -252993017","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 4:33 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-8)*-3)\/6. What is the second smallest value in 0.3, z, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 183, 184, 185, 186, 187?\n\"Answer: a + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (23 + (-24 - 15) - -18)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.308 - -0.308. Sort a, 4\/3, 5, -0.1.\nAnswer: a, -0.1, 4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 + 29920*q - 89724.\nAnswer: -4*(q - 7477)*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212874327 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 5*y**2 + 6*y + 30. Let g be h(-5). Suppose g = -152*i + 161*i - 5139. What are the prime factors of i?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 24*f - 7*f - 7*f - 4*f. Determine s(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/10 + 5)\/((-2)\/84) - -6?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 20*t**2 + 42*t - 534. Let l be o(21). Is l > -115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.21 in -1, -0.4, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y. Let h(f) be the first derivative of 0*f**3 + 2*f + 1\/12*f**4 - 4 + 0*f**2. Let p(g) be the first derivative of h(g). Determine q(p(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 686.6 - 685. Let k = -0.1 + 0.2. Which is the fourth smallest value? (a) -3 (b) 4 (c) k (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*x + 58*x = 1428. Let a = x + 339. List the prime factors of a.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n**2 + 4*n + 3. Let h be t(-2). Solve -5*q + 5 = -h for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1794 is divided by 570.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 18*o + 8. Let v(r) = -r + 1. Suppose -2*k - 4*b + 10 = 0, -6*k = -8*k - 5*b + 13. Give k*s(p) + 8*v(p).\nAnswer: -26*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5148 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.49567513 to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**2\/b**(2\/15) assuming b is positive.\nAnswer: b**(28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 35*i + 1. Let u be z(2). Let q = -13 + u. Does 29 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -336*u + 10. Let c be o(2). Let i be (-2)\/(-4) + c\/(-4). What is the second derivative of -3*f**3 + 0*f**3 + i*f - 181*f wrt f?\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/5)*x**3)**(-3\/17)\/(((x*(x*x*x**(-2))\/x)\/x)\/(x*x**(2\/5)*x)*x**(3\/5)*x**(-3\/2)\/x) assuming x is positive.\nAnswer: x**(161\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 67*t - 45 - 115 + 2*t**2 + 224 wrt t?\nAnswer: 4*t + 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*a - 2*p + 715, 532 = -4*a - 4*p. Find the common denominator of (-36)\/42*(-5)\/(-2) and (-3)\/(18\/a)*5\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 11:02 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2591*l - 12955. Determine v(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 93 = -2*t - 100 + 205, -20*t = -8*t - f - 33 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**5 - 96*d**4 - 312*d**3 - 320*d**2 - 108*d = 0.\nAnswer: -1, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5 = -61. Solve 3*w - y = 1, m + 4*w = 21 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16222654 (base 7) to base 5\nAnswer: -400200442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7832 = 89*k - 7120. Let u(l) = l**3 - 4*l**2 - 6*l - 8. Let n be u(6). Calculate the highest common divisor of n and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) -1.3 (c) -4 (d) 5 (e) -1\/7 (f) 27\/10 (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyjy when four letters picked without replacement from jujujyyjuuuug.\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 10*l + 4. Let k(t) = 4*t + 2. Let u be k(-3). Let z be q(u). Suppose 9*f = 14*f - 20. Solve z*c + 6*x = 3*x + 14, 3*c + f*x = 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.012 + 0.063. Let z = 0.151 - l. Put 12, z, -2\/3 in descending order.\nAnswer: 12, z, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -5 (b) -4 (c) -0.1 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28.7 - -30.7. Sort 86, i, 0.3 in decreasing order.\nAnswer: 86, i, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110010001110 (base 2) in base 14?\nAnswer: -422a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1783 at least as big as 12095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -n**3\/6 + 2*n + 2791. Let a(l) = -2*l**2 + 303*l. Give a(j(x)).\nAnswer: -2*x**2 - 303*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -384 = -3*l + 2*h, -177 = 3*h - 186. Solve 0 = -92*o + 27*o - l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95777, -188101, -280425?\nAnswer: -372749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + v + 3)*(-5*v + v + 2*v) + 6*v**2 - 2*v**2 - v**2)*(-3*v**2 + 4 - 4) in the form i*v**3 + n*v**2 + z + b*v + h*v**4 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*d**2 - 39*d - 3*d**2 + 2*d**2 - 34*d to h*d + m + k*d**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -100323110?\nAnswer: -100323121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -763?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) + 1*sqrt(36))\/sqrt(12) - 2*(sqrt(3) + (sqrt(9)\/sqrt(3))**2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*w**3 + 10*w**2 - 779*w + 779*w wrt w?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2\/7, -0.2, 11.11, -0.01?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2 + 8*u - 71. Let z(p) = 2*p**2 + 7*p - 71. Let c(l) = 6*n(l) - 5*z(l). Let r be c(-22). Suppose r = 9*d - 2233. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78406452?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 45, 190, 431, 768?\n\"Answer: 48*r**2 + r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v - 30033 - 23415 = 0. Is v a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426*p + 30821 = -1155*p - 17903 - 50879 for p.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 171*q**6\/40 + 1365*q**4\/8 + 3880*q**2. What is the second derivative of c(v) wrt v?\nAnswer: 3078*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*z + 55*z**2 + 96*z - 129*z.\nAnswer: 55*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1459*v + 1636*v + 17*v - 70*v in the form j*v + a and give j.\nAnswer: 3042","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkggqgggkgvgqqvvgv. What is prob of sequence kg?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17.156 + 12.156. What is the third biggest value in -0.5, s, 1\/5, 3.31?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 7:34 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 2*t + 108, 2*t + 84 = 2*v + 22. Suppose 0 = -9*f + 8*f. Let g = v - f. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j - 16. Calculate q(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24075.\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 43244848 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: (5*6\/45)\/(36\/27)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 29.1 times 668\nAnswer: 19438.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 8*h - 8. Let t be k(6). Suppose 3*o + 11 = -3*x - t, x = -3*o - 9. Let a be (12*15)\/(x\/(-18500)). Round a to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1436\/2979?\nAnswer: 1436\/2979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -1.6 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 - v**3 - 3*v**3)*(-267 + 267 + 5*v)*(-1 - 2*v + 1).\nAnswer: 20*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -167412 (base 8) to base 16\nAnswer: -ef0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*2*(-10)\/4. Let z(w) = w**3 + 5*w**2 - w - 5. Let l be z(q). Suppose m + 1 = 0, -5*s + m + 2*m + 258 = l. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o - 2. Calculate z(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 9:32 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3.7 (b) -0.4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-4)\/12)\/(((-91)\/(-156))\/7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -69*x**4 + 8*x**3 - 55064*x**2 - 746600803 wrt x?\nAnswer: -276*x**3 + 24*x**2 - 110128*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32461337?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 1371 = -501. What is the remainder when 610 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -16) + 3 + 0 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-514)\/771)\/((-18)\/1269).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 2935.\nAnswer: -2935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**3\/3 - 2788*g**2\/3 - 145615*g\/3 - 601700 = 0. Calculate g.\nAnswer: -2735, -33, -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(7) - sqrt(70)\/(-1*sqrt(10)) - sqrt(7)) - 6*sqrt(192)*1) + -3.\nAnswer: -47*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 932184 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m + g = -22*m + 11, 0 = m + 5*g + 21. Suppose 4*c - 5*u = 245, -c - 3*c + m*u + 244 = 0. Calculate the highest common factor of c and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 10*o + 32 = 7*o, -16 = 4*o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22965, 45955, 68959, 91983, 115033, 138115, 161235?\nAnswer: 184399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1346 and 4.2092639.\nAnswer: 1350.2092639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223733840?\nAnswer: 2, 5, 11, 29, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 114?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 764.3 - 752. Round z to 0 decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**2 - 13*l + 24. Let a be z(-11). Let f be a*(23\/4 + -4). Let k = -480 - f. Round k to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50) - (-2 + sqrt(50)*2 + sqrt(50)).\nAnswer: -10*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/1204 and 27\/154.\nAnswer: 13244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3014073 (base 10) to base 16.\nAnswer: 2dfdb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(25)\/sqrt(5) + 0 - (sqrt(55) + sqrt(55)*3)\/sqrt(11))**2 + (1*(3 + sqrt(10)\/sqrt(2)) - ((sqrt(45) - sqrt(45)*-1)*-2)\/sqrt(9)).\nAnswer: -177 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 941?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -44*p + 9. Is d(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 823\/7 - 119. Is -2 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**3\/5 + 790953*q**2 - 3910047483447*q\/5 + 11730106857483\/5 = 0.\nAnswer: 3, 1977381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -215 - -217. Let f(o) be the first derivative of 3\/4*o**4 - 3 + c*o**3 + 0*o + 0*o**2. What is z in f(z) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128286690 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 14*h**2 - 2*h - 60. Let k be a(-15). Let u = -259 - k. Let r(p) be the first derivative of -2*p**3\/3 - 3*p**2 - 2*p + 2. Calculate r(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -587, -2178, -4817, -8534, -13359, -19322?\n\"Answer: -5*d**3 - 494*d**2 - 74*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 197 + 2*d - d**2 - 9*d**2 + 4*d**2 + 4*d**2 in the form x*d + t + i*d**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -h**6\/1800 + h**5\/75 - h**4\/10 + 6*h**3 - 26. Let c(t) be the third derivative of y(t). Determine v, given that c(v) = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 972?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - 4075?\nAnswer: -4074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -31*z**2 + 910*z + 605. Calculate the least common multiple of n(30) and 7 - ((-4 - -2) + 2).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 3\/2, 0.1, 0.3863?\nAnswer: 0.3863","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 787\/2310 - 11\/30. Suppose -28*d = 2*d - 210. Let j(m) = -m**2 + 3*m + 27. Let a be j(d). Which is smaller: r or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1643 in 4\/7, 3, -1, -2\/13, 5\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -q**4\/4 + 2*q**3\/3 + 2*q**2 + 2*q + 3. Let j be f(4). Does 2 divide (-1)\/(44\/j + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.068706 rounded to three decimal places?\nAnswer: -3.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59097*l**2 - 118193*l - 2 = 0. Calculate l.\nAnswer: -1\/59097, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 8 + 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 12:45 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -55036 or -55039?\nAnswer: -55036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -104*n - 69. Let t(d) = 2*d**3 - 57*d**2 + 28*d - 4. Let b be t(28). List the prime factors of u(b).\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -585570 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/3)\/(1\/3). Let z = 0 + d. What is the second derivative of -m - 3*m - 2*m**z + 5*m wrt m?\nAnswer: -24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 1. Let g(c) = -c**2 - 319*c + 968. Let x be g(3). Let f(l) = -6*l - 4. What is x*v(m) + f(m)?\nAnswer: -6*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 356001, 354998, 353995, 352992, 351989, 350986?\n\"Answer: -1003*c + 357004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 21191 (c) 2.8 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (572*y - 572*y - 160*y**3)*((-2*y + 0*y + 0*y)*(0*y + y - 3*y) - 2*y + 2*y + 2*y**2 - y**2 + y**2 - 3*y**2).\nAnswer: -480*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4095881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**3 - 3433 + 3433 - 2*f**4 + 3*f**2 in the form o + g*f + t*f**2 + i*f**3 + y*f**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -5. Solve 16 = -5*s - x, 0 = -5*s + 4*x - n - 2 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -6)\/1 + -2. Let n be 400\/96 + (2\/(-12))\/1. Find the third derivative of n*r**4 + 3*r**2 - 4*r**2 + 0*r**4 + 0*r**l wrt r.\nAnswer: 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2204*u**4 - 2344*u.\nAnswer: 26448*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-561)\/33 + (18 - 1). Solve h = 3*y + 5*d - 10, -4*y = 4*d + 34 - 42 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 152635 and 161?\nAnswer: 3510605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126092 and 16?\nAnswer: 504368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80 + -28. Suppose -16*w + 14*w = -q. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -1. Let t(m) = 309*m + 10196. Let s be t(-33). Let u = -0.32 - -0.3. Which is the nearest to 1? (a) o (b) s (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7.1? (a) -1\/4 (b) 1\/4 (c) 3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11100 (base 2) to base 10\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u. Let x(y) = -2*y**2 - 1. Let s(j) = -2*j**2 - j + 5. Suppose 4*z + 406 - 402 = 0. Let n(p) = z*s(p) - 5*x(p). What is r(n(g))?\nAnswer: -36*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28638, -28599, -28560, -28521, -28482, -28443?\nAnswer: -28404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/11 in 34, 1\/6, 1\/4, 0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 12*b - 22. Let h be l(3). Let s be (-7)\/(245\/(-170)) + 2\/h. Solve 2*r - 6 = -r - 3*d, s*r = -d + 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-29264)\/140833)\/((-4)\/(-21))?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t**3 - 10*t + 10*t)*(6*t - 2*t - t).\nAnswer: 18*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/75 and 127\/180?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 70)\/(-5 + 3 + 3). Let s = h + 69. Let o(g) = -g**3 + 5*g - 4. Let w be o(s). Solve 1 = -3*j + 4*i, j = -w*j - 5*i - 13 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(-14)*n**(-1\/17)*(n*n\/n**3)**(1\/15))**(-4\/31) assuming n is positive.\nAnswer: n**(-16192\/7905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13348 and 147956?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (256 - (-4 + -4)) + -4. Let w be 1\/(-5) - 16855\/(-25). Suppose 0 = 5*l - r - w, l + 2*r = -l + j. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/10 - -1)\/((-38)\/15). Which is greater: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 4*g + 476. Let t be (-2)\/(-6) + 693\/27. Let d = g - t. List the prime factors of d.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 9:42 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5\/8 + -1\/24. Suppose -j = 3*j. Suppose -l + 0 - 25 = g, 5*l - 4*g + 125 = j. Which is the third biggest value? (a) 1 (b) p (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -77*b**3 + 3*b**2 - 145?\nAnswer: -231*b**2 + 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4135750?\nAnswer: 2, 5, 71, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 31, 4, -748, 3 in increasing order.\nAnswer: -748, 1, 3, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 92\/20 + -3*4\/(-30). Put h, -47, -3 in descending order.\nAnswer: h, -3, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26542771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**4*r**2 - 2621*l**3*r**2*z + 303*l**2*r**2*z - 3*l**2*r*z - l*r**2 wrt l?\nAnswer: -48*l*r**2 - 15726*r**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1*1)\/(7\/(-2842)). Suppose -5*a + z = 131. Suppose a = 5*y - 0. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -5*c**3 + 85*c**2 + 5*c - 85 = 0.\nAnswer: -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 8. Solve -2*o + 8 = -s, -2*o + l + 8 = -5*s for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 10*t**2 - 10*t + 1. Let n be z(8). Let g(h) = -2*h**2 + 28*h + 79. Let j be g(15). Calculate the greatest common factor of n and j.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1712*b = -1718*b + 288. What is the highest common factor of b and 1584?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10655393.\nAnswer: 7, 217457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -3\/2 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.5, 3\/4, -0.4, 0.1, -4705 in increasing order.\nAnswer: -4705, -0.5, -0.4, 0.1, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 1 = 29. Let t = -6 + j. Solve 3*l - 5*l + t*o = -10, -l + 5*o + 17 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-28)\/6*(3 + 1940\/(-644)). Let u = -1681\/759 - n. Does -3 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25332, 27497, 29662?\nAnswer: 31827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4 - 7 = 0. Let r = -4\/11 + 19\/22. Which is the closest to o? (a) r (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1091*u + 2178*u = 1124*u + 777 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 59. Suppose n + 151 = -5*w, -3*n = -2*w - 25 - 32. Let z = w + l. Is 2\/3 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17178 divided by -1710?\nAnswer: 2863\/285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 135137*z**5 - 2265*z + 11.\nAnswer: 2702740*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5737 (base 9) to base 2\nAnswer: -1000010010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 9 = 4*g, 0*u - 2*u = g. Let n be (2 - 4)\/(4\/(-22)). Suppose -4*l + n = 2*d + 3, 0 = -d - 3*l + 6. Solve d = 5*x - g*x + 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 23506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33506256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5 + 3 + 0 + 5*f - f**2. List the prime factors of h(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (1 - -5) - (-79 + 98 + -50)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 5*w - 61. Let g be ((-20)\/(-110))\/(2\/3*w). Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26.9021 + 26.8. What is f rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -202 or -203?\nAnswer: -202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/247 and 55\/26?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8.571984 milliseconds?\nAnswer: 0.0001428664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 83218 = 30*w - 1894*w - 69384 for w.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 62 (base 16) to base 13\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 7:28 AM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-4576)\/192*15\/55\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02273573779 to three decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-326)\/(-489))\/(50\/(-3))*-5*2\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000011001011000011 (base 2) in base 4?\nAnswer: 3003023003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.06 - -0.36. Let r = -1.7 - l. Suppose 3*w + w + 5*f - 7 = 0, w + 2*f - 1 = 0. Which is the nearest to r? (a) w (b) -5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2691?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 9*v + 13. Let q be z(10). Solve -f + 2*d + 8 = q*f, 2*d = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.7, 590, -2\/11 in ascending order.\nAnswer: -4.7, -2\/11, 590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11346 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 21. Which is greater: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1560 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7257 and 16.5.\nAnswer: -7240.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 6 + (-7 - (2 - 5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.464 minus -0.85599441?\nAnswer: 23.31999441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhfr when four letters picked without replacement from frrhffrffhhfr?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pydyppyypddfy. Give prob of sequence yd.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 11*a + 83. Let y be s(-8). Calculate the remainder when (y - -11) + 4*22 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(4*(-3)\/(-180)*24\/(-24)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 2*q - 33, -4*v - q + 8 = -47. What is the remainder when 22 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctdtlqlttt. Give prob of picking 2 t.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13\/6? (a) -3 (b) -5 (c) 6193\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/7)\/(13\/(-910)*5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80\/24)\/((-8)\/(-120)*-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 - 3*r. Let x be g(2). Let s(z) = z + 24. Let v be s(-17). Let b = 17 - v. Calculate the greatest common divisor of x and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 7*t**3 - 2*t**2 + t. Suppose -2 = -a - a. Let n be f(a). What is the third derivative of 2*l**6 - l**n - 2*l**2 + l**6 wrt l?\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 2:07 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24544788?\nAnswer: 2, 3, 29, 251, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**5 + 105700*a**4 + 1408139850*a**3 + 305964505000*a**2 + 16757997245000*a = 0.\nAnswer: -26315, -110, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s - 3. Let b be (6\/7)\/(510\/(-2380)). Let w(g) = g + 1. Calculate b*w(j) - v(j).\nAnswer: -9*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q - 2. Let p = 15 + -22. Let t(m) = 10*m - 10. Let n(g) = 3*g - 3. Let l(r) = p*n(r) + 2*t(r). Suppose -20 = 3*v + 2*v. What is v*l(u) - x(u)?\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -258, -230, -202?\n\"Answer: 28*d - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 177638*i. Let k(l) = -13*l. Give c(k(h)).\nAnswer: -2309294*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 425409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1562291 to the nearest integer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ce0 - 31?\nAnswer: caf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 2*i**2 + i - 5. Suppose 70*h + 5*b = 69*h, h + b = 4. Determine v(h).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-9))\/((-1)\/6). Suppose 0 = -5*v - 10, 7 = 3*l - 3*v - 5. Which is the third biggest value? (a) l (b) z (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 11 - 9. Let v(z) = -z**2 - 3*z + 0*z**2 + 1 + 2*z - l*z**3 + 0*z. Let d be ((-1)\/1)\/(0 - 1). Determine v(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/28*6*63\/306*-1?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239 = 5*w - 779. Is w a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 5 - 1)*(-1 + 2 + 0) + (54 + 4 - 12 + 1 - 2 + 2 + (1 - 3 + 3)*(4 - 4 - 1) - 5 + 6 - 3 - 6 + 3 - 12)*(-3 + 2 + 2))*(3*t - 2*t + 0*t).\nAnswer: 32*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 6*s**2 + 5*s - 26. Let d be t(6). Suppose -18*f + 56 = -d*f. Do f and 5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -20, 18, 92, 214, 396, 650, 988?\nAnswer: 1422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2433760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 224389581?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3811 divided by 18?\nAnswer: 3811\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 11, h: 5}. Give prob of picking 1 h and 2 s.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 222058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + -1 + 2*sqrt(99))*-3.\nAnswer: -18*sqrt(11) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2560) + -1*sqrt(2560)*3))\/((sqrt(448)\/sqrt(8))\/sqrt(7) - (sqrt(72) - sqrt(72)*4)\/sqrt(9)).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/4896 and 80\/1071.\nAnswer: 34272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -10*l**6\/9 + 7*l**5\/15 + 11*l**4\/12 + 2*l**3\/9 - 12. Find y, given that u(y) = 0.\nAnswer: -2\/5, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -6*w - 7. Let m(r) = 2 + 6*r + 5 - 3*r - 3. Let c(p) = 13*m(p) + 6*n(p). Is 14 a factor of c(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 22399125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*s + 7*s - 75*s)*((-3*s - s + 5*s + (-6 + 2 + 2)*(-2*s - 3*s + 4*s) - 4 - 2*s + 4)*(-3 + 0 + 2)*(7 + 14 - 3) - 2*s + 3*s + s).\nAnswer: 1584*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/9, 0.0203, -758, -149?\nAnswer: -758","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-8)*(-98)\/686?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 8*k**2 - 11*k + 218. Let y(q) = -6*q**2 + 9*q - 221. Give 4*a(j) + 5*y(j).\nAnswer: 2*j**2 + j - 233","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25949, 98829, 218651, 385415, 599121, 859769?\n\"Answer: 23471*b**2 + 2467*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 98.6 (c) -5 (d) 3 (e) 9\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27 - 12 - 8 + 33)*(-88 + 88 + 2*d) to w*d + y and give w.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 13 = -5*l + 14, f + 4*l - 19 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 13*l + 2 + 29*l + 5*l + 3*l - 2*l - 3*l - 23*l - 34*l + 21*l + (0 - 3 + 1)*(2*l + l - 5*l) to the form q + s*l and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 3:38 AM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(350) - sqrt(350))*-6*2)\/((-4*sqrt(49)*-1)\/(2*(sqrt(7)*-1 - sqrt(7)) - sqrt(7))).\nAnswer: -300*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, i: 4, y: 1, k: 2, f: 1}. What is prob of sequence ykzf?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1*3\/(-1) + 347\/347?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38 (base 10) to base 7.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 7:58 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-573)\/(-21) - (-2)\/(-7). Suppose 0 = -p + 4*r + 25 - 2, -4*p + 3*r = -o. Suppose -c - p*c = -8. What is the remainder when 5 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.22 and 979589067?\nAnswer: 979589066.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13099157 or 13099155?\nAnswer: 13099155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 212236*a**3*u - 2*a**3*w + 2*a**2*u*w + a**2 + 1659*a*w - a + 3*w wrt u.\nAnswer: 212236*a**3 + 2*a**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-4)\/1)*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 1. Let f(k) = 9*k**2 - 3*k + 3. What is -f(b) + 3*t(b)?\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*l - 5 = -l, -x - 4*l + 22 = 0. Let j(p) = -1 - 78*p + 15*p**x + 78*p. Determine j(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6226 and 17587966.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -7.9, 0.4.\nAnswer: -15, -7.9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -159.4 - -185. Let v = -25.601513 + p. What is v rounded to 5 dps?\nAnswer: -0.00151","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42 - -45. Let d(g) = -v + 5 + 3 - g + 8. Does 6 divide d(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006197 rounded to seven decimal places?\nAnswer: -0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -28*w + 34. What is the tens digit of s(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) + sqrt(27) + sqrt(324)\/sqrt(48))\/(sqrt(9) + sqrt(9) + sqrt(9) + -2*sqrt(729) + sqrt(9) + sqrt(9)))**2.\nAnswer: 75\/676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 7*l - 1733 = -1657, v = -3*l - 28 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.054 - -0.054. Suppose p + 3 - 1 = 0. Which is the closest to j? (a) 3 (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 14 - 8)*(b - 2*b + 3*b)*(-97 - 133 - 97 + 245).\nAnswer: 5740*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 - -73. Which is smaller: u or 172\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6746 divide 182094778?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 913073743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 4. Suppose k = h + 3. Let u = -2 - h. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 4*d + 1, f = -3*d + 3. Suppose 0 = 2*l + 6, -3*b + b = 2*l + f. Let s = -245 + 975\/4. Is s < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f - 1. Let u be l(1). Let o = 3441 - 3426. Suppose -u*w = -5*c + o, -2*c + 2*w = 3*c - 3. Put 4, 0, 10, c in decreasing order.\nAnswer: 10, 4, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**4\/4 - 5*q**3\/3 + 4*q + 12. Let d = -8 + 13. Determine h(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sab when three letters picked without replacement from kcsbscaszczc.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6069 and 0.3.\nAnswer: -1820.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 2 + 3)*(-38 + 11 - 18)*(5 - 1 - 1)*(3*g - 4*g + 3*g) as o + i*g and give i.\nAnswer: 1350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*a + 83 + 34 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = -v - 14*x, 4*v + 91*x - 94*x + 19 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.958 - 0.042. What is the nearest to -0.2 in b, 1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 31*r + 721. Give n(-23).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**20)**(-28)*g**(-6)*g\/((((g\/(g*g\/(g**(1\/47)\/g*g)))\/g)\/g)\/g*g)*g assuming g is positive.\nAnswer: g**(-26368\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from xnxnnnxfnnnf.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(2\/21)\/g)\/(g**17\/g)*g**(-18)*g**(7\/2))**20 assuming g is positive.\nAnswer: g**(-12770\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 3 + 29)*(-1 + 0 - 1) + (2 + 0 - 1)*(-1 + 1 + 1) - 1 + 1 + 2)*(-1 - 3*i**3 + 1) to the form x*i + f*i**3 + z + a*i**2 and give f.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 x when three letters picked without replacement from xxjjxxxxxxxx.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3918689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = 7*u + 4. Suppose -d = -3*i + 5*i - 9, -5*i + u*d - 10 = 0. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12265647?\nAnswer: 3, 23, 177763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 4 - 1)*(-4 + 3 + f - 1).\nAnswer: -26*f + 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3423 is divided by (100\/(-3))\/(-2) - (-58 + 5280\/90).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 5*q + 28 = -3*u, -3*u + q + 2 = 0. What is j in -16\/7*j**3 + 2\/7 - 12\/7*j + 24\/7*j**u = 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -93691010566 and -0.095.\nAnswer: -93691010566.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (128\/100)\/(-16)*1\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -4*c - 7 + 31, 22*c = 48*c - 27*c - 10*r + 6 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 7*q**2 - 2*q + 2. Let m be w(-7). Calculate the highest common factor of 4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 3, 4, -25, -1332, -12, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14)\/3 - 1\/3. Let v be (6\/o)\/(2\/(-10)). Suppose v*l - 20 = l. Let t(x) = -10*x + 7. Let m(w) = -3*w + 2. Give l*t(r) - 14*m(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 10*r**2 + r + 12. Let n be q(10). What is the greatest common factor of 110 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14940643763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(4\/7)*h*h*h*h\/(h*h**(2\/11)))\/((h\/h**(-1\/4))\/((h**6\/h)\/h)) assuming h is positive.\nAnswer: h**(2199\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxp when three letters picked without replacement from mjkpxjg.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 35\/(-5)*(5 - -1). Let p = 39 + s. Does 9 divide 2*p\/6*-9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 1\/2, -890, 40?\nAnswer: -890","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6893645394319.5179873 + -6893950486886.718. Let n = y + 305092296.2. Let g = n - -271. Round g to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/7 - 4\/(-28). Which is smaller: 1\/50 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68 + 71. Suppose -n + 6 - r = p, 0 = n - 3*p + 1. Solve -5 = -2*y + 5*o, -3*y = -0*y - 2*o - n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 + -41. Suppose 0 = b - a*b + 3*j - 11, -5*j = -5*b - 30. What is the tens digit of (-3)\/b + 9519\/133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a gram in milligrams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/15)\/(((s**(-6\/17)\/s)\/s*s*s)\/s) assuming s is positive.\nAnswer: s**(379\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -288 divided by 8\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2356*v - 4*v**2 - 2356*v.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -573.9 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 404405227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -s**6\/360 - 7*s**5\/60 + s**3\/6 - 2*s**2. Let v(b) be the first derivative of l(b). What is the tens digit of v(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) -2\/7 (c) -2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (99 - 78)*6\/7\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/(-8 + -60))\/((-3)\/(9 - -3))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**2 + 0*v**2 + 3*v**3)*(-1 + 3 + 2) + v - 2*v**3 - v.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3435, -3444, -3453, -3462, -3471, -3480?\n\"Answer: -9*p - 3426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/11, -210, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 1079384166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3332*k + 4*w + 47 = -3329*k, -3*w = -k + 19 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - (-81 + 111) - -160?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -865, -870, -883, -910, -957?\nAnswer: -1030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -123266*j**3*t - 1866384*j**3 with respect to t.\nAnswer: -123266*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -0.17, 5\/6, -7\/3, 1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and 33543.\nAnswer: -30188.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*14 + (8 - 7). Let z = b - 16. Let c = 7 - z. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/28 + (-6)\/(-24)*1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + eeea4?\nAnswer: eeea5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10655 and 1498093.\nAnswer: 2131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 4*a**2 + 3*a + 4. Let f(v) = 7*v**2 + v. Let q be f(1). Calculate the remainder when w(-5) is divided by 0\/(-1 + -1) + q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 145*d - 855 with respect to d.\nAnswer: 145","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, 1, 2\/727?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1230*g + 1231*g + 1300*g + 1234*g - 7460*g + 1226*g + 1237*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 65?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**6 - 9*l**5 + 358756*l**3 - 16020481*l**2 - 2*l.\nAnswer: 120*l**3 - 540*l**2 + 2152536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ba when two letters picked without replacement from {v: 1, b: 2, y: 1, a: 1, p: 1, o: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -152, -9039, 1, -1, -7, 5 in decreasing order.\nAnswer: 5, 1, -1, -7, -152, -9039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -50, -98, -146, -194, -242, -290?\n\"Answer: -48*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11727 and 28746786.\nAnswer: 86240358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 6*d**2 + 6)*(2*d - 3*d - 2*d) + d**3 + d**3 - 4*d**3 to the form r*d + g*d**2 + l*d**3 + b and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 7678.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*z - 94*z + 138. Calculate the greatest common factor of z and 1713.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5b - -751597?\nAnswer: 751625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 5 (b) 0.17 (c) -70 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2052577 + 2052508.00039. Let d = -69 - z. Round d to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267574 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(3*3\/45). Let s = 7 - 4. Let p(r) = -3 + 6*r**2 + 0 + 0*r - 2 - s*r - r**3. Determine p(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4907 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -184451 - -184450.99872111. Round n to 5 dps.\nAnswer: -0.00128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -142 + 108 + 14 - (-12 - -3) - (50 + -1)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 20 - 102 + 59 + 23 - 3*j. Let q(z) = -27*z + 2. What is q(x(a))?\nAnswer: 81*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10030?\nAnswer: 2, 5, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2671 + 0.0029. Let d = 33\/230 + -1\/23. Put f, d, 5 in descending order.\nAnswer: 5, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34825110?\nAnswer: 2, 3, 5, 1160837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*g - 2*g**3 + 4*g**3 - g**3.\nAnswer: g**3 - 62*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(216) - (sqrt(216) - sqrt(216)*2*4)) + 6*sqrt(216)*1)\/(-5*(sqrt(32)\/sqrt(4) + sqrt(8))*-2).\nAnswer: -3 + 21*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3176, -16151, -37776, -68051, -106976, -154551?\n\"Answer: -4325*b**2 + 1149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45256 is divided by 5028?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-36) + 191384\/36. Let s be ((-4)\/(-3))\/(15956\/b - 3). Suppose 5*u - 4 = s. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.3905395 rounded to 3 dps?\nAnswer: 27.391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(30)\/((sqrt(10) + sqrt(40))*-4).\nAnswer: -sqrt(3)\/12 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 787*a - 13357. Give r(17).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -4210270 and -4.\nAnswer: -4210274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 156075232 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2024 = 4*o. Let w = o - 257. Which is the smallest value? (a) -0.5 (b) 0.1 (c) -1.1 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/(-10)*2 + 7. Solve -c*z + 4 = -8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -15.38 and 0.0617481792.\nAnswer: -15.3182518208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 10*h. Suppose -4*i + d + 89 = 0, 0 = 3*i - h*i + d - 65. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -394, -1\/5, 0.2, 168, -0.07?\nAnswer: -394","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1\/4, 130\/57, -32, 1, 0.4.\nAnswer: -32, -0.3, 1\/4, 0.4, 1, 130\/57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1495955 + 946889. Let u = -1349066 - w. Round u to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 430 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -430*g + 396 = -418*g. Solve 5*f = 2*m - g, 25 = -3*f - 2*f for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - z - 27. Suppose 10 = -5*d + 3*d. Let l be f(d). Find the third derivative of -4 + 5 - 1 - 6*n**6 + l*n**2 wrt n.\nAnswer: -720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 - -38.94. Let s = o - 0. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -6*z. Let r be t(12). Let k = 156 + r. Is 28 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-19)*t\/(t\/(t\/t**(7\/8)))*t**21*t**19*t assuming t is positive.\nAnswer: t**(177\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thihhehhhhlhhehitez. Give prob of picking 1 l and 1 z.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**2 - 10*u = 0?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5014, 10083, 15154, 20227, 25302, 30379?\nAnswer: 35458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 47137*j - 47136*j + 26, 0 = -7*j - 3*i - 32 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -49, -96, -143?\n\"Answer: -47*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - p + 65. Let o be g(0). Suppose -3*b - 14 = -o. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 0)*-2*34. Suppose 3*b - 63 = 3*t, 5*b - 21 = t + g. Find the third derivative of o**2 + b*o**6 - 4*o**6 - o**6 - 3*o**2 wrt o.\nAnswer: 1440*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 319 - 321. Put 3, 0, u, 12 in ascending order.\nAnswer: u, 0, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 11211228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*p**2 - 12*p + 5*p**2 + 12*p.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -3317, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 10*f + 224. Factor 47*h**2 + 16*h**3 + h**3 + 7*h**3 + h**2 + f*h + 4*h**4.\nAnswer: 4*h*(h + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -g - 6. Let z = g + 7. Suppose -m + 824 = z*v, -2*m + 6*m = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 536 - 536.4. Suppose -17 - 11 = 2*z. Let b be 4\/z + 38\/(-14). What is the nearest to -1\/4 in 2, x, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16 from 1.24.\nAnswer: 17.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -94909\/34 - -2793. What is the common denominator of -121\/20 and h?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 4*j**2 - 74*j - 37. Calculate y(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 11 = -d, 3*p + 2*d - 7 = -0*d. Suppose t = -p*g + 60, -g - t + 12 = -0. What are the prime factors of (8\/8)\/(2\/g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3392 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 3:01 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**3 + 4*f**2 + 2*f + 10. Let i be s(0). Let r be (6\/i)\/(4\/20). Find k, given that 28*k**r - 516\/5*k**2 + 304\/5*k - 48\/5 = 0.\nAnswer: 2\/7, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 + 28*q - 128. What is the remainder when 222 is divided by x(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1\/4)\/g)\/g)**(-8\/15))**25 assuming g is positive.\nAnswer: g**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.86 + 5.7728. What is f rounded to three decimal places?\nAnswer: -0.087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 1364530*n - 5 - 1364535*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-10) - ((-78)\/5)\/6. Sort z, 0.2, 3\/2.\nAnswer: 0.2, 3\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 435\/85 - (198\/(-51) + 4). Suppose 0 = -822*g + 827*g - h. Solve 0 = 2*f + g + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42345*f - 18804*f + 22005*f to the form q + d*f and give d.\nAnswer: -39144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x + 1 - 1 + (-2*x + x + 2*x)*(1 + 2 - 1) + 1 - 1 - 2*x)*(-3*x - 7*x**2 + x + 9*x**2).\nAnswer: -2*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1107, -4519, -10301, -18531, -29287?\n\"Answer: -13*z**3 - 1107*z**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 3:14 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 35*f**2 + 32*f - 53. Let k be z(-34). Calculate the highest common factor of k and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362681 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21410, 21057, 20734, 20453, 20226, 20065, 19982, 19989?\nAnswer: 20098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + 27 + -22 - 38) + (-1 - 1).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.38458 rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 4*a**2 + 7*a - 7. Let y be l(5). Let f(i) = -y*i - 18 + 18. Let c(g) = 2*g. Give c(f(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7736?\nAnswer: 2, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*u - 33*u - 4 + 71*u - 5*u.\nAnswer: 10*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 35*f**2. Let g be l(1). Let h be -8 - 279\/(-54) - (-1)\/(-6). Let z be ((-14)\/3)\/(h - 49\/(-21)). What is the highest common factor of z and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 7 (b) -2\/9 (c) 5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -68 (b) 40\/9 (c) 2\/13 (d) 81 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/5763345 or 9?\nAnswer: -2\/5763345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1722006061 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(336\/30)*2\/10\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 360 and 360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -0*h - 138. Let r = h - -178. Calculate the remainder when r is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/43623 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -683 + 690. Solve 5*s - 13 = -2*v, -5*v + o*s = 2*s + 20 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyjyeejyj. Give prob of picking 1 j and 1 e.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 9:26 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w = 7*w - 6. Let l be (-3)\/(-2)*(-2)\/(-3). Which is greater: l or w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7117\/4 + -3559\/2. Put 1, -3\/4, x, -0.5, -0.2 in ascending order.\nAnswer: -3\/4, -0.5, x, -0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5227*(6 + (1012\/(-66))\/(6\/9)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 4) + (-5 - -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 4*k - 85638 + 85635, 540*k = -1620 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p - 5*p + p + (1 + 0 + 1)*(-2*p + 3*p + 0*p)*(4 - 1 - 1) + (-11 + 11 + 13*p)*(2 - 1 + 1) - 5*p + 3*p + 0*p.\nAnswer: 26*p","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is 159977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 25*c**2 - 21*c**2 - 14*c**2. Let z(g) = -4*g. What is z(p(o))?\nAnswer: 40*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-10) - 24\/10. Let g be ((-1)\/2)\/((-5)\/(-6)). Is f less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 + -32 - ((-6 - -1 - 2 - -16) + -8)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 20. Let n(j) = j + 10. Let f be n(v). Find the third derivative of -3*r**3 + 9*r + f*r**2 - 20*r + 11*r wrt r.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 + 23 - 23.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210 = -599*s + 613*s for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + 5*t**2 - 3*t**2)*(3 - 2 - 2)*(2*t - 2*t - 3*t)*(-4 + 0 + 1).\nAnswer: -18*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88 + 92. Which is the third smallest value? (a) -0.3 (b) h (c) -4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 3*h + 6. Suppose 18 - 3 = -3*d. Let n be p(d). Suppose x = -2*w + 4, -n = -3*x - x + 3*w. Calculate the greatest common divisor of x and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(7)*-6)**2 - (-1 + sqrt(7) + -2).\nAnswer: -sqrt(7) + 1011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 3*j + 5*d - 220, -3*j + 3*d = 210. Let z = -34 - j. List the prime factors of z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-55)\/77 + (-405)\/(-665). Which is the fourth biggest value? (a) 0 (b) k (c) -0.04 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*o*t**5 - 16*o*t**4 - 2*o*t**2 - o*t + 3*o - 3*t wrt t.\nAnswer: -320*o*t**3 - 192*o*t**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*3\/198)\/(915\/(-732))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -130*b**3 + 1. Let u(v) = v**3 - 1. Calculate -q(d) - u(d).\nAnswer: 129*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.36853272 to 3 decimal places.\nAnswer: -1.369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 13588 divided by -3397\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -19. Suppose 2*m + o*m + 110 = 0. What is the remainder when (0 + -12)*m\/10 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*h + 28 = 0. Let c(b) = h*b + b + 9 - 17*b + 8*b. Let k be c(10). Put 2, -7, k in decreasing order.\nAnswer: 2, k, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -5*f + 14, 23*y + 3*f = 25*y + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 8*q - 12*q + 816, 0 = q + 3*v - 214. Is 189 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/5 - 401340*r + 201342244500.\nAnswer: (r - 1003350)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -2, 0.11, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 799569?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -152*w**3 + 8*w**2 - 27*w + 2. Is s(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111010101001010 (base 2) to base 6.\nAnswer: 351002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1082 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/8)\/(2\/(-8)). Let d = 22 - s. Solve -4*h + 3*b - d = 0, 4*h + 4*b = -0*h + 12 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/(-16))\/(-45*1\/(-81))?\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n - 36 = -70. Let -9\/4*b - 7\/2*b**3 + 4*b**n + 1\/2 - 1\/4*b**5 + 3\/2*b**4 = 0. Calculate b.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 5:48 PM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 3)*(4*i - i - 2*i) - 1 + 2*i + 1 + (-3*i + 6*i - 2*i)*(6 - 4 - 3) + i + 0*i + i)*(71*i + 45964 - 45964).\nAnswer: 284*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -511501 (base 7) to base 4.\nAnswer: -111033301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-150)\/16)\/((-3)\/(-12)) and -83\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 7348056 = 4*b + 19801944, -3*o - 5*b + 16289963 = 0. Suppose -c = -2*f - 5429992, f + o = -c + 2*c. Round c to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*f + 3 = -0*c, -c - 5*f = 17. Let o be (-3 + 47\/(-3))\/((-6)\/18). What is the derivative of 5 - 56*d - 5*d**c - 1 + o*d wrt d?\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(143)*-2)\/((sqrt(176) - sqrt(11))*6 + sqrt(11)) + 0.\nAnswer: -4*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -498, -2013, -4538, -8073?\n\"Answer: -505*z**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-3)*-4*(-21)\/56\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 757213?\nAnswer: 113, 6701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5915.69764 rounded to one decimal place?\nAnswer: 5915.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, p: 1, g: 12, v: 1, k: 3}. What is prob of sequence kkvg?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 5:33 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 191 = -141. Suppose -8 = 3*o - 32. Let n(j) = 2*j + 5. Calculate the remainder when t is divided by n(o).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 50176800.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1323122101 (base 4) in base 8?\nAnswer: -1733221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17467.29 rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -2\/13 (c) 2\/9 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*g**2 + g**2 - 6*g**2 to the form x + l*g + o*g**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2331*v + 2337*v + 5*z + 36 = 0, 5*v - 2*z + 30 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -120, -4, 5\/6, 51, -9\/7?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1478 by 6.\nAnswer: -739\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001490599 to 6 decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*q = 2*q - 706, 0 = l + 3*q - 232. Let z be (-3)\/(-9) + l\/6. Solve 5*y + 39 = 3*k + 2, -4*y + 5*k = z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eif when three letters picked without replacement from fiffeiiiiiieffii?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 159264057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 3*g + 2*g - 2*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -791 + 802. Let b(o) = 3*o + 9*o - 8*o - 14*o + c*o. Let s(l) = -100*l**2 + 3*l. Calculate s(b(d)).\nAnswer: -100*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 3*h = 2, 464*y - 4 = 468*y + 2*h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (1 + -6)) + 2\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -1. Suppose 3*o + 2*o = 0. Let s be o*2*(-3)\/(-12). Solve s = u*m + 3*n - 2, -3*m - 2*m + 5*n = -30 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 541409206?\nAnswer: 2, 13, 20823431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 24 = 4*w, w + 8 = l + 3. Solve l*m - 2*p = -0*p - 10, -2*m - 3*p + 15 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3\/14)\/d*d**(-1\/12)*d*d**(-2\/21)\/d*d*d*d*d\/(d*d*d*d\/d**(2\/21)*d)*d assuming d is positive.\nAnswer: d**(-109\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -615.606*-2.31.\nAnswer: 1422.04986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + q + 3*q)*(-5 - 3 - 20) - q + 5*q - 2*q.\nAnswer: -26*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -122, -4, 0, 1, 10, 7 in descending order.\nAnswer: 10, 7, 1, 0, -4, -122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-24\/11))\/l*l*l**(-25)*l)\/(l**(-22)\/l**(5\/4)))**29 assuming l is positive.\nAnswer: l**(3103\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 - 0.2. Let k = -88.4 - 2.6. Let h = k + 79. Which is the closest to h? (a) w (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -10*x + 3. Let o be c(0). Let s be ((-2)\/4)\/((-5)\/2). Suppose 0 + 0*d**2 - s*d**o + 1\/5*d**4 + 0*d = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*d - 246 + 54. Let r = -44 + 28. Let m = r + d. Solve -2*j + 6 = -m*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 2, 3\/431, -1\/9, 0.02 in ascending order.\nAnswer: -1\/9, 3\/431, 0.02, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(12\/(4\/1)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*x - 3*x + 3*m - 47409, 9465 = x - 5*m. What is the thousands digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 - l**3 - 3*l**3 + (-2*l**2 + l**2 - l**2)*(-7*l + 1 - 1).\nAnswer: 11*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*j**2 + 65*j**2 + 66*j**2 + 57*j**2 to the form h*j + u*j**2 + m and give u.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -3\/5, 1, -6213255.\nAnswer: -6213255, -4, -3\/5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12620995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*b + 37*b**5 - 23*b + 26*b**5 wrt b?\nAnswer: 1260*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-1100)*264\/48\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*r - 92*r - 55 = -5*z, -4*z + 4*r = -52. Solve -40 = -4*j + z*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000211078 to 5 dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7461249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(128) - (1*sqrt(128) - sqrt(128))*-6)*4 + (sqrt(128)*2*4 - -5*(sqrt(128) - (0 + sqrt(128) - sqrt(128)))))**2 + -2.\nAnswer: 36990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-15)\/2*6\/(-9). Suppose -3*z + n = 2*z - 361, -j*z + 3*n = -363. Let p = z + -50. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f. Let u be n(-5). Let t(c) = -6*c**2 + 2*c. Let w(r) = -7*r**2 + 3*r. Let b(l) = -6*t(l) + 5*w(l). What is the units digit of b(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 91 and 7.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -7*d**3 + 2*d**2 - 2*d - 4. Let p(x) = -x**3 - x - 1. Let m(f) = -5*p(f) + r(f). Suppose 5*o + 8 = -2. Is m(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108685 is divided by 690.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -7482.\nAnswer: 2\/3741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0448673294 to three decimal places.\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 56?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -514 + 399. Which is bigger: k or -114?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrv when three letters picked without replacement from {r: 11, v: 2, g: 1}.\nAnswer: 55\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 31 = 2*i, 56986*j = 56998*j + 4*i + 40 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13257 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or 1734\/3883?\nAnswer: 1734\/3883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 + 0*g**2 - 4*g**2 + (0*g**2 - 3*g**2 + 2*g**2)*(-18 - 7 - 39) + 3*g**2 + g**2 - 2*g**2.\nAnswer: 64*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from {q: 2, v: 1, g: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10884428 a multiple of 300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 + 25563545167?\nAnswer: 25563545166.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 3. Suppose -5*s + 19 + 21 = u. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -152*b**2 + 9117 + 151*b**2 + 120*b - 9090 to t*b**2 + s*b + n and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -7*y + 8. Let q(h) be the third derivative of 0*h + 0*h**4 + 0 + 0*h**3 + 0*h**5 - h**y + 1\/105*h**7 - 1\/60*h**6. Find a, given that q(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 1)*(-275*r + 110*r - 671*r) to the form x*r + g and give x.\nAnswer: 836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 10 = -0*n - n, -3*u - 5*n - 1 = 0. Let y(m) = 3*m**2 - 4*m - 11. Let q be y(u). Suppose 0 = -g - 3*g + q. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fvfv. What is prob of sequence ffv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of 2\/15*y**5 - 1\/3*y**4 + 0 + 0*y**3 - 1\/60*y**6 + 3\/2*y**2 + 3*y. Let n(c) be the first derivative of u(c). Factor n(k).\nAnswer: -2*k*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (36\/(-30))\/(3\/320)*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2464 + -2463.9998919. Round i to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*4*(sqrt(704) + -3))**2*-5.\nAnswer: -513360 + 34560*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2. Let k(b) = 223*b + 40057. Give k(g(n)).\nAnswer: 446*n**2 + 40057","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 326 and 120.19.\nAnswer: 39181.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k - 13. Let h(m) = m - 1. Let v(y) = 5*y - 4. Let t(s) = -4*h(s) + v(s). Let a(w) = -l(w) + 5*t(w). What is the units digit of a(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(5\/2)*f**2)\/(f*f**(-6)\/f*f*f\/(f**(-4)*f))*((f**(1\/3))**(-6\/29))**(25\/3) assuming f is positive.\nAnswer: f**(857\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ad (base 14) to base 15\nAnswer: a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/36 and -49\/154953.\nAnswer: 619812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -1 - (-4 - (5 + -9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 6. Let o = -9 + 6. Let n = 3769\/3748 - 708\/937. Which is the nearest to n? (a) -0.4 (b) o (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 11 = -2*b, 15 - 35 = b - 8*s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 7:05 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 13*b**4 - 44*b**3 + 23*b**2 - 11*b - 6. Let k(f) = -23*f**2 + 37*f - 14*f**4 + 5 - 18*f + 43*f**3 - 10*f. Let i(l) = -5*k(l) - 4*u(l). Factor i(h).\nAnswer: (h - 1)**2*(3*h - 1)*(6*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 18\/20)*2. Let w = 48 - 22. Let q = w - 28. Which is the second smallest value? (a) v (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44863 + 44863 - 314*l**3)*(4*l**2 - 3 + 0 - 2*l**2).\nAnswer: -628*l**5 + 942*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 9:55 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 413083?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + n - 4*n)*(-13 + 2*n + 13).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 61411.77 decades in months?\nAnswer: 7369412.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19007335 rounded to two dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.43 (b) -0.15 (c) 1 (d) 1\/4 (e) -2 (f) -22\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 f when two letters picked without replacement from {j: 4, v: 1, c: 4, f: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 172 = -2*t. Let c = t + 167. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1157 + 1171. Solve 2 + n = -4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 - 4)*(-1 + 2*t + 1)*(-1 + 2 + 2 + (-1 + 0 + 3)*(0 + 10 + 7) + 0 + 0 + 2) in the form k + m*t and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*h**4 + 3*h - 97.\nAnswer: -108*h**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317*t + 1834 - 20266 = 67*t for t.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of 0 - 1\/8*o**4 + 0*o + 0*o**3 + 81*o**2. Let x(c) = -14*c. Calculate y(x(m)).\nAnswer: 42*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-12) - (-186)\/8. Let t = 40 - p. Find the third derivative of -17*i + 13*i**4 + t*i - 10*i**2 wrt i.\nAnswer: 312*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m - 76 + 16. Let q be (-8)\/(-5) - 4\/m. Solve 4*a + q + 2 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 1116*g**2 + 1141*g**2.\nAnswer: 2257*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 21, -0.1, -1\/25, -14\/5?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109439511?\nAnswer: 3, 313, 116549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-3)\/(-3)*5. Let c be ((0 + -2)\/m)\/(4\/(-16)). Is (c\/4)\/((-7)\/(-588)) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13874637 and 3309.\nAnswer: 13874637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/8*-1)\/((-66)\/(-88)). Let s = -600\/7 - -86. Which is the closest to -0.2? (a) 1 (b) s (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 224106012 by 3.\nAnswer: 74702004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 3444 and -1512 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -412 + -501299?\nAnswer: -501700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/42 and 4\/(-20)*505\/(-8)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 661.6756 millennia?\nAnswer: 66167.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -11, -4 in decreasing order.\nAnswer: 3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 250050025 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0*s - 3*c - 18, 0 = -2*s + 3*c + 24. Let l be (-140)\/21 + 7 - (-740)\/3. Suppose -l = -s*h - 25. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3\/51997?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-2)\/8*-8)\/(-1)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -18*z + 12 + 12*z - 20*z - 6*z. Let c(u) = 3 - 13*u + u + 2 - u. Let f(x) = 12*c(x) - 5*q(x). Let p(k) = -k. Give p(f(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 47388 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/7 - 1904492*b\/7 + 272070.\nAnswer: 2*(b - 952245)*(b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9844 - 5124. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -22. Suppose 28 = 2*c + 2*c - 4*t, 0 = m*c + 4*t + 16. What is the tens digit of c\/4 + (-150)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((6*sqrt(130)*3)\/(1*sqrt(60)\/sqrt(6)) + 3 + -1)**2.\nAnswer: 72*sqrt(13) + 4211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3375161121 and 1.\nAnswer: -3375161120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128 and 560?\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4 + 1 = -c, 2*a - 9 = -3*c. Let k(q) = q**3 - 2*q**2 - q + 5. Let m be k(4). Let d = m - 21. Solve -5*t - d - c = 0, -18 = -2*i + 4*t for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*c + c + 2*y, -3*c + y + 12 = 0. Let q(k) = 2*k**2 + 6*k - 4. What is the tens digit of q(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 16*f - 3. Let d be y(0). Let a be 15\/(-18) + (-1)\/6 - 3. Put 8, d, a, 0 in decreasing order.\nAnswer: 8, 0, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02442607922 rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 2. Suppose -5*a = -7 - 23. Suppose 4*o - 183991 = -3*d, 0 = 2*d - k + a. What is o rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50.42 * 250.\nAnswer: 12605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 9*a - 3. Let z be o(-1). Let t = z - -15. Suppose p = -t*p + 596. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffbbblblbfbf. Give prob of sequence ff.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 5. Let x be b(4). Let g = x - -3. Is -5 + g + 378 - 4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 6*p)*(-3*p**2 + 4*p**2 - 2*p**2)*((-4*p + 4*p - 2*p)*(5 - 5*p - 5) + 2*p**2 + 0*p**2 - 3*p**2).\nAnswer: 54*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, 5, -0.096, -0.3?\nAnswer: -0.096","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -45, -84, -115, -138, -153?\n\"Answer: 4*j**2 - 51*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3*m - 23. Let j be g(-6). Let d be 0 + j + 6 + 1. Suppose -3*v = d*s - 2*v, v = s - 6. Solve l - s = -5 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83\/3 + 28. Sort a, 1\/8, 2 in ascending order.\nAnswer: 1\/8, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 226 and 2599?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1200, 2381, 3560, 4737, 5912, 7085, 8256?\n\"Answer: -f**2 + 1184*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -20 (b) 0.032 (c) 1 (d) 17950 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -52*z**4 + 9*z**3 + 343*z**2 - 15*z + 145234?\nAnswer: -624*z**2 + 54*z + 686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-258)\/24*576\/(-72).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 274.2 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 1:52 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-1)\/9*-1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3026 = 1029*q + 23606 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 6 = -6*j. Suppose j*t + k = -3*t + 18, 3*t - 22 = 5*k. Suppose 0 = p + t*p - 40. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 635 divide 1884045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is a1a (base 15) in base 7?\nAnswer: 6430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (90750\/(-9))\/(1\/(-120)). What is w rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r + 1. Let f(z) = -10*z - 3. Let x(j) = -2*f(j) - 7*i(j). Let h be x(0). Let l be (-1 - 0)\/((-1)\/h). Put 5, 4, l in decreasing order.\nAnswer: 5, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 33\/27 - (-2)\/(-9). Round g to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from mmxeymmcmc?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7314250543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42364823?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -11*q + 10. Let s(k) = 9*k - 8. Let y(z) = -4*g(z) - 5*s(z). Let l(n) = -86*n + 4. What is y(l(u))?\nAnswer: 86*u - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s. Suppose -138 = -3*b - 5*c + 13, -3*b = -4*c - 187. Calculate the least common multiple of b and d(7).\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 0)\/(2 + 1). Suppose 0 = -27*j + 28*j - 30. Let u = j + -28. Which is the third biggest value? (a) u (b) 2\/9 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -340356.095 rounded to the nearest one thousand?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(99)*5)**2 - -1*(-3*(0 + sqrt(11)) - (sqrt(11) - (sqrt(11) - 4*sqrt(99))))**2.\nAnswer: 12375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t**3 - 5*t**2 - 5*t + 4. Let o be f(-6). Calculate the common denominator of o\/(-40) + (-4)\/10 and 141\/(-8)*(-4)\/(-30).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-27) + (-47)\/(-9). Suppose 36 = n*x - 39. Let o = x - 7. Calculate the lowest common multiple of o and 14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/98422 and -17\/30?\nAnswer: 1476330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/140380 and 117\/140380?\nAnswer: 140380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 1)*(-2*s**2 + 2*s - 2*s) - 2*s**2 - s**2 + 4*s**2 + 367 - 367 - 57*s**2 to m*s**2 + k*s + d and give m.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3242213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99441 divided by 3683.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1516584528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3451776 times -1?\nAnswer: -3451776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 45360579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 190096 and 97228.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (9 + 11) - 16?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sossososv. Give prob of sequence oos.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9771 times 2313\nAnswer: -22600323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 772 = -18*h + 4552. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 430 divide 32549280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(2\/5)*i)\/i**(-11\/4))**(-2\/101))**45 assuming i is positive.\nAnswer: i**(-927\/202)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -487216.41 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -33. Let y be 3 - (-3 + (u - 4)). Suppose y*p - 15 = p. Solve -3*t - 2*r = 15, -p*r = 8 + 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldwxdldxwqwd. Give prob of sequence xd.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 275*d - 4. Let b(g) = 1375*g - 23. Give -2*b(l) + 11*r(l).\nAnswer: 275*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 956*v - 666. What is w(1)?\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 535052 (base 6) to base 13\nAnswer: 16c85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z**5\/10 + 71*z**4\/10 + 798*z**3\/5 + 7072*z**2\/5 + 4480*z + 22344\/5 = 0. What is z?\nAnswer: -38, -14, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.184977741 to 2 dps.\nAnswer: -1.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 - 68 - (-4 + 0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 2*l + 12, 3*l - 50*j + 52*j = -26 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*(0 + sqrt(684) + sqrt(684) + 5 - (sqrt(684) + 0 + -2))**2*2.\nAnswer: 168*sqrt(19) + 1469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 less than 0.380806?\nAnswer: -19.619194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -1 - 2*d + 1 - 7 + 8. Let i be 1 + (-2)\/4*-2. What is q(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**2 - 140*j + 6 + 140*j + (-2*j + 13*j - 2*j)*(1 - 1 - 2*j) + (1 - 3 + 4)*(-2*j**2 + 2*j**2 + j**2) as k*j**2 + x + y*j and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.269 - 0.131. Let t = m + 14. What is the closest to 0 in t, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 314 minutes before 3:36 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -24*w + 2. Let s be q(-2). Let g = 3 + 1. What is the smallest common multiple of g and (s\/15)\/((-1)\/(-3))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1652 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*o + 8 = 47*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2049 take away 111230?\nAnswer: -113279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0776632us to nanoseconds.\nAnswer: 77.6632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.2, -11, 22\/15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 3\/2*f**2 - 3\/2*f**4 - 9*f + 165 + 6*f**3 - 9\/5*f**5 + 1\/2*f**6. Determine d, given that t(d) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -6. Suppose -a*k + 23 = -2*x + k, 3*k - 11 = 4*x. Does 3 divide x - 2 - (-2 - 7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 0.1 (b) 5 (c) -2\/3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w - 6*w + 3*w - w + 2*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 + 8*n**3 - 16*n**2 - 32*n.\nAnswer: 4*n*(n - 2)*(n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 4*z = 48. Suppose -l - 4*l = 3*j + z, 0 = l - j - 4. Suppose -3*g + 168 - 3 = l. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 344 and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12501 + -4299. What are the prime factors of u?\nAnswer: 2, 3, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15703*t = -15684*t + 171 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 382978 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -256\/295 - -4\/59. Let q = -5 + 9. What is the closest to 2 in x, q, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 4*q)*((0 + 0 + 2*q**2)*(-q - 2*q + q) + 2*q - 2*q + 2*q**3 - 2*q**3 - 4 + 4) + (0 + 0 + 2*q**2)*(-30*q**2 + 3*q**2 + 3*q**2).\nAnswer: -64*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2 + (-2 + 1 + 2)*(3 - 4 + 0))*(-445*j**3 - 956*j**3 - 1601*j**3) in the form o*j**2 + y*j**3 + n + w*j and give y.\nAnswer: 9006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 182868.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4959*o + 5*l = -4961*o + 5, -3*l = -4*o - 55 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 1:03 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 150 + -56. Let b = 97 - a. Is (-600)\/(-4) - b - 2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72, 46, 24, 6, -8?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 24 = 2*i, -i - 3*i + 16 = 4*o. Let j(w) = 3*w**3 - 279 + 284 - 4*w**3 + o*w**2 - w - 6*w. Let h(v) = 2*v - 5. Let f be h(6). Calculate j(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 149, 487, 825, 1163, 1501?\nAnswer: 1839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*p + 3*h = 153*p + 4, -3*h = 5*p + 31 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28999, 58177, 87369, 116581, 145819, 175089, 204397?\nAnswer: 233749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4884 is divided by 89.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1338523, 2677046, 4015569, 5354092, 6692615?\nAnswer: 8031138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2248.3 - -2248.283071. What is z rounded to 4 decimal places?\nAnswer: -0.0169","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -6, -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 7:17 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -141 (base 8) to base 12\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 1\/7 (c) -3 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 4 = -2*i, 3*m + 19 - 20 = 2*i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 18016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*z**3 - 80*z**3 + 1452767*z - 1452767*z + 52*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 6. Suppose -y*j + k + 108 = 3*k, -4*k = -4*j + 64. Suppose 5*f = -4*m - 5 - 0, -3*f - j = -m. Solve 0 = -t + m*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71 - -73. Suppose 8*g - 130 = -3*t + 3*g, y*g = -t + 43. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 290 - 288 - (-10 + -1) - (-5 + 123).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 13 = 2*a - 5, -4*a + 4*l = -72. Let m be 19\/2 - a\/10. Suppose m*k - 374 = -94. What are the prime factors of k?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.5 in -4, 17571336, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 556 and 7645.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48 - 10*r**2 + 14*r**2 + 2*r - 2*r**2 + (2*r - 7*r - r)*(-10 + 5*r + 10) - r**2 + 3*r**2 + 0*r**2 + r**2 + 0*r**2 - 2*r**2.\nAnswer: -27*r**2 + 2*r - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 2. Let v = 1.87 + 3.13. Which is the closest to -0.1? (a) f (b) v (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c - 5 + 4 - 9*c**3 + 4 + 0*c to t*c**3 + n + h*c + l*c**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2161 - -3792. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.26 * 11.57\nAnswer: 14.5782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9339 and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 222945 and 2672?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 7*j - 6. Give b(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 15 = 0, 3*v = 5*j + 2*v + 3. Let g be (-2)\/(-7) + (-216)\/(-28). Suppose p = -j*p + g. What is the lowest common multiple of 12 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t - 8. Determine v(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*s = y - 26*s + 6, 4*y + 14 = 6*s - 20 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -102 divided by -1139\nAnswer: 6\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -h - 2*h. Let j = h - -4. What is the second derivative of -2*l - 3*l - 2*l**j + 4*l wrt l?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*b**2*c + 343*b**2*g**2 - 3*b**2*g + b*c*g**2 + 10*c*g**2 + 15*c wrt g?\nAnswer: 686*b**2 + 2*b*c + 20*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-8 + 6 + -4)*(-906)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -688*j - 98380. Calculate y(-143).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1057, 1059, 1061, 1063?\n\"Answer: 2*m + 1055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**6 + 13*n**4 + 79175*n**3 - 43009646*n**2 wrt n?\nAnswer: 240*n**3 + 312*n + 475050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 1218650?\nAnswer: -1218650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 7. Suppose 3*b + 16 = -u*m, m - 4*b = 11 - 5. Let k(y) be the third derivative of -y**6\/120 - y**5\/60 + y**4\/12 - y**3\/6 + y**2. Calculate k(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12876.\nAnswer: 2, 3, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/6 + 535*g\/3 + 286225\/6.\nAnswer: (g + 535)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271 - 138 - 2*o - 133.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/(-20)*(-1)\/(-18)*3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (27 - 57)*(2\/6 - 1). Suppose -2*j = -o + 123, 2*j = -3*j + l. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 1\/6, -3\/4, -297.21, 2\/11, -35, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/3)\/s*s**(-1\/4))**(-9)*(s*s*s\/(s*s\/(s\/(s\/s**(2\/3))))*s*s*s)**37*s\/(s*(s*s**(-2\/13))\/s*s)*s**(3\/5) assuming s is positive.\nAnswer: s**(140923\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3197.288 times -0.5\nAnswer: -1598.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1480483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from ooaemoeeoeammoeee.\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (35\/(-14))\/((-20)\/16). Which is greater: -942 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -43*p**6\/10 + 3*p**5\/20 + p**4\/6 + 119*p**3\/6 - 2*p - 833. Find the third derivative of u(i) wrt i.\nAnswer: -3096*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30.942 + -0.058. Let g = p - -31.25. Let s = -0.35 + g. Which is the smallest value? (a) s (b) -2\/3 (c) -2\/5 (d) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -45, 8\/9, -0.2, -0.0205, -0.5, -4?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 178170360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/7 (b) -4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2 + 66\/12. Suppose 30 = s*i - i. Let v(x) = x**2 - x + 4. Let w be v(3). Solve -i*g = -g + w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 331\/429 - 15\/143. Which is the closest to u? (a) 2 (b) -30 (c) -1 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) 0.4 (c) 3 (d) 9 (e) 0 (f) 3\/4 (g) 14\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 2. Let x be s(2). Suppose 0 = -x*y + 4*y - 18. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**5\/10 + 2*g**3\/3 - 3*g**2\/2 + 14*g. Let i be d(2). Let n(c) = -c**3 - 12*c**2 - 10*c + 15. Is n(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17400858?\nAnswer: 2, 3, 31, 93553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5414659231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 425984.\nAnswer: -1\/212992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q - 2. Let k be 6\/(-2) - (-2)\/2. Let b be y(k). List the prime factors of 6\/b*(-5)\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11676)\/(-2502))\/((-14)\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173046101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 6, -6, 7, 1 in decreasing order.\nAnswer: 7, 6, 1, -0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78 + -76.6. Which is the second smallest value? (a) -2\/5 (b) d (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -217\/2, 0, -10228?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9509 and 3?\nAnswer: 28527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 0 + 16 + 2 + 18*c - 2. Let r be n(-8). Let z = r + 180. Calculate the smallest common multiple of 4 and z.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) 1\/8 (c) -1 (d) -1\/169 (e) -0.2 (f) -32 (g) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 12. Suppose -29*q + 32 = -27*q. Solve -y = -5*w - q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61955563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0036 - -52.9964. Put -4, -3, j, 3\/7 in decreasing order.\nAnswer: j, 3\/7, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z**2 + 16*z - 14. Calculate k(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (64 - 2)) + (258 - (208 + 49)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 10:26 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 11*r - 31. Let n be a(13). Let p = -0.073 - 25.327. Let o = p - -25. What is the closest to 0 in -3, o, n?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24713?\nAnswer: 13, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10387\/370 + 1959\/74. Let u be ((-5)\/(-2) - 2)*-8. Let n = u + 1. Which is smaller: n or h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 1. Let u(x) = 6*x - 5. Let t(y) = u(y) + 5*v(y). Suppose 0 = -z - 0 + 1. Let d(c) = -4*c + z - 3 + 3. What is -d(s) - 5*t(s)?\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*h**4 + 5*h**4 - 3 + 3*h**2 + 6*h**2 - 2*h**2 wrt h.\nAnswer: 624*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 538 * -334.27\nAnswer: -179837.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 156*g*k - 2224*g + 2*k**3 - 1 wrt k?\nAnswer: 156*g + 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(52)\/(sqrt(16)\/sqrt(4)).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*p - 1337, -270 = 4*p + m - 1597. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 + 213 = -93*p + 14*p. Sort -3\/4, p, 2\/5, 0, -2\/7.\nAnswer: p, -3\/4, -2\/7, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k + 2 = 27*k. Suppose f = 5*t - k*f - 92, 3*t - 58 = -f. Calculate the remainder when 92 is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575 - 4*1\/2*4\/8 is divided by 83.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((1 + sqrt(7))**2 + 0 - (sqrt(7) - sqrt(49)\/sqrt(7))**2*-5 - 2*sqrt(35)\/(sqrt(80)*-3)).\nAnswer: 13*sqrt(7)\/6 + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 13*k**2 + 13. Let s = 45 - 41. Let l(m) = 12*m**2 + 12. Let b(a) = s*x(a) - 3*l(a). Differentiate b(q) wrt q.\nAnswer: 32*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -53 (b) 8 (c) 0 (d) -28 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 592962 and 222.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*p, -2*p + 5 = 2*u + p. What is the tens digit of (24\/(-28))\/(u\/28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -3. Let w = -5 - n. Let c(l) = l + 3. Let p be c(0). Which is bigger: w or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149690.\nAnswer: 2, 5, 14969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3848, -7640, -11432, -15224, -19016, -22808?\nAnswer: -26600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 199. Let f(p) = -2. Determine -2*f(l) + j(l).\nAnswer: l + 203","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.11 + 4.11. Let z = -7 - -9. Let w be z\/(-21)*28\/(-12). What is the closest to w in 2\/13, u, 3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27\/14 in 1.936, 1\/7, -12, 2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 - (-143 - -6 - (12 + 12))?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -289*l**3 + l + 13. Let g(q) = -145*q**3 + 7. Let x(k) = -5*g(k) + 3*u(k). Is x(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/179 in 2, 5, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**3 + 118*c**2 - 364*c + 9. What is r(3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66073000 and 3640.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2 - 8 = -5*w, 5*w - 10 = -2*g. Suppose -2*a + w = -6. What is the first derivative of 7 + 10*h**3 + 6*h**3 + a*h**3 wrt h?\nAnswer: 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 11. Let g = -26 + 25.6. Let n = 1276\/5 - 256. Which is the third biggest value? (a) n (b) g (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 723672 is divided by 1323.\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42489155, -84978308, -127467457, -169956602, -212445743?\nAnswer: -254934880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a milligram in micrograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42182320.\nAnswer: 2, 5, 31, 73, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 829627943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -8628021.6 to the nearest ten thousand.\nAnswer: -8630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 12*b + 0*b - 14*b**2 - 9 + 13*b**2. Let k be s(11). Let u(g) = 2*g + 11. Let w(l) = l + 5. Let x(h) = k*u(h) - 5*w(h). What is x(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 46752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 10. Let l(t) = -8*t + t**2 + t**2 - 8 + 3 + 5*t. Let g be l(h). Calculate the greatest common divisor of 11 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -65015, -64984, -64953, -64922?\n\"Answer: 31*u - 65046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of b**4\/6 + 8*b**3\/3 + 21*b**2\/2 - 538*b - 1. Give v(-10).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -380 - -382. What is the common denominator of 782\/(-840) - p\/(-15) and -9\/28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o, z - o - 3*o - 3 = 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.102464636748 and 31?\nAnswer: 30.897535363252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-158)\/16)\/((-2)\/3936*-246).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 6*q**2 + 2*q - 2. Let f be v(1). Let w(p) = 3 - f + p - 4. Give w(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -212618, -212619, -212620, -212621, -212622, -212623?\n\"Answer: -s - 212617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 109*u**2 + 34*u - 3641. What is i(109)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**5\/20 + 5*f**4\/12 - 5*f**3\/6 + 7*f**2\/2 - 7*f. Let j be l(-6). Are j and -2\/39 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 2*y + 2*y**3)*(y - 4*y + y) + (-3*y**2 - 2 + 2)*(-5*y**2 + 30*y**2 - 8*y**2) - 4*y**4 + y**4 + y**4.\nAnswer: -57*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 22760 divided by 20\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -6 - 6 - 1) + (7 - 8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(847) + 1)*6 + -2 - -2*sqrt(847)*-2*-5)**2.\nAnswer: 2288*sqrt(7) + 572585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**2 + 104. Let x(i) = -4*i - 7. Give f(x(s)).\nAnswer: -8*s - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 2:25 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 112 + -110. Which is the closest to -2\/3? (a) 4\/3 (b) l (c) 5\/6 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/21 + -2 - (-130)\/455\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*m + 3*h - 15 = 216*m, -12 = 3*m - h for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 7 + 64 = 0. Suppose 1 = 5*h - a. Suppose 3*f - 145 = -3*k + h*f, 0 = -4*k + 2*f + 196. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 2495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/3 + -4 - (-2)\/(-3) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -5, 177976 in increasing order.\nAnswer: -31, -5, 177976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -429?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22549 - 3769.\nAnswer: -26318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -5*l**4\/24 + l**3\/2 - 4*l**2 - 3. Calculate p(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1273078 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 64404 and 153.\nAnswer: 1094868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6904365635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wycr when four letters picked without replacement from nywnywwcyyrynyc?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0055499 to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*b + b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13683\/2590 + 1\/370. Which is smaller: u or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 29 - 23. Is w a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6704 - 2747. List the prime factors of k.\nAnswer: 3, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 2*d**2 + d. Let t be i(-2). Let x(o) = 4*o**3 - 279*o**2 - 70*o + 4. Let q be x(70). What are the prime factors of t + ((-9)\/6 - (-218)\/q)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -45233*r**2 + 192704 wrt r.\nAnswer: -90466*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32686*m + 32688*m + 3*h = 40, 3*m = -2*h + 35 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 g when two letters picked without replacement from mmmgmggmgmggm.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + (-208)\/(-24))\/((-10)\/(-54))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-156 - -192) + (-4 - 2 - -3 - 2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1300) + sqrt(39)\/(sqrt(15)\/sqrt(5)))**2 + -4.\nAnswer: 1569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, 4, -2\/11, -2, 13, -116?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 1194\nAnswer: 5970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 12:26 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f + 0*f + 4*f + 4*f + f - 3*f + 3*f - 3*f - 2*f + f + f - 3*f + (2 - 2 - 2)*(2*f - 3*f + 3*f) + (0*f - f + 0*f)*(59 + 8 - 16) as t + u*f and give u.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 112412 (base 5) to base 11\nAnswer: 30a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1200)*5)\/(sqrt(864)\/sqrt(9) - ((sqrt(54) - sqrt(864)) + sqrt(54)))*-4.\nAnswer: 60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 9105 and 9105 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 20 = 2*w, -3 + 25 = 3*w + 4*u. Solve 4*p = d + 9, -p + 0 + w = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 - 82 - (-35 - (8 - 11)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - 4\/3*(2187\/(-54) - -9). Let a(n) be the third derivative of 0 + 1\/390*n**5 - i*n**2 - 1\/78*n**4 + 0*n + 1\/39*n**3. Suppose a(b) = 0. Calculate b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + m**2 + 3*m + 2. Let d be z(0). Sort d, 3, -3, -1 in ascending order.\nAnswer: -3, -1, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from emtfjlj?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 122*a**2 - 2 - 46*a**2 - 44*a**2 - 46*a**2 in the form i*a + h + b*a**2 and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b = 14*b - 68*z - 273, -153 = -4*b + 4*z - 49 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 219474 and 60965?\nAnswer: 1097370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/((-35)\/7) + 1226. Suppose 2*z = 4*c + t, -4*z - c = -3064 + 615. What are the prime factors of z?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/21888 and -35\/6192.\nAnswer: 941184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33984)\/(-21))\/(-16) + 14*(-6)\/(-588)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (120\/(-9))\/(-10)*(-6)\/(-4)*1. Factor -1\/2*t + 3 - 1\/2*t**l.\nAnswer: -(t - 2)*(t + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 54? (a) -16 (b) -3 (c) 6\/11 (d) -2\/69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7039001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 666053 and 13?\nAnswer: 8658689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = u + 42. Solve 5*a + u = 14*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a + 13*a**3 + 7*a**3 - 4*a.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 842589019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2055070481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 854.92?\nAnswer: 854.92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*d - d**2 - 24*d - d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/71? (a) 3 (b) -0.1 (c) -3 (d) 0 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 16 = s, r = 5*s - 6 - 19. Let t be ((-18)\/15)\/((-1)\/r). Let p = t - -15. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*z - 216 + 0 = -16 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/5)*s*s**26*s*s*s**(-23)*s*s\/(s*s**20) assuming s is positive.\nAnswer: s**(-67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37816 and 0.5.\nAnswer: -18908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/((-160930)\/684)*14\/3.\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 15*q - 12*q**2 + 5 + 11 - 5*q. Let i be j(11). Differentiate -10*n**4 + i*n**4 - 3 + n**4 with respect to n.\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence om when two letters picked without replacement from {z: 1, w: 2, o: 1, m: 1, d: 2, h: 8}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 27*y**2 - 25*y**2 + 0 + 1 - y**3. Give h(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 69 and 204378.\nAnswer: 204378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 4, 23105?\nAnswer: 23105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 234 - 233. Solve 3*r + 10 = z for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 0*j + b - 1, -j + 13*b - 88 = -63 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 10:03 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6491*r**3 - 8557*r**3 - 4469*r**3 - 6466*r**3.\nAnswer: -25983*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -112, -251, -446, -697?\nAnswer: -1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**2\/r*r)\/r)\/r*r)**(-3))**5*(((r*r\/((r*r**(1\/3))\/r))\/r)\/r)**(-19\/4)*r**5\/((r*r**(-8))\/r*r) assuming r is positive.\nAnswer: r**(-17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + v + 116 = 0. Let w = v - 13. Is w a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154437509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3896 or -120?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 22325054?\nAnswer: -22325050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -725 less than -693246?\nAnswer: -692521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*f**4 - 28*f**3 - f**4 - f**2 + f + 20*f**4 - 1 to k*f**4 + a*f**2 + v*f**3 + r*f + h and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -12. Let s be ((-3)\/(-3) - m) + 1. Let y = s - -3. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/16 and 27\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 + 13*p + 4*p**3 - 8*p - 12*p - 4*p**3 + 4*p**3 as c*p + i + w*p**3 + j*p**2 and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 114\/175 + -4\/7. What is the second smallest value in m, 2\/3, 0, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -116517, 1, -1, -5 in increasing order.\nAnswer: -116517, -5, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-15 + (2 - -9 - 3)) - -27\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -v + 3*k, -5*k = 69*v - 65*v + 27 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ycn when three letters picked without replacement from yhcnchnhhhhh.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4977834l in millilitres?\nAnswer: 497.7834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11540361, -23080806, -34621241, -46161660, -57702057, -69242426?\nAnswer: -80782761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -8*p + 115. Let v(r) = -7*r + 96. Let b(i) = 6*v(i) - 5*w(i). Determine b(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69550.92g to tonnes.\nAnswer: 0.06955092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -s + 25. Suppose -s*x = 14 - 34. Let 2 + 4*v**3 + 11*v**2 - 2*v + x*v - 3 - 4*v**2 = 0. What is v?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115195002.\nAnswer: 2, 3, 13, 1476859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 26*z - 74. Let k(n) = -n**2 - 7*n + 4. What is the smallest common multiple of k(-7) and q(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**3\/9 + 15346*q**2\/9 - 2922812*q\/9 + 5784224\/9 = 0. Calculate q.\nAnswer: -7859, 2, 184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 630092647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 17 + 5. Suppose a*v - 5*w - 44 = 45, -4*v + 137 = -3*w. Let h = v - 33. Is h smaller than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 108503 or -334\/5?\nAnswer: 108503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116134820.\nAnswer: 2, 5, 17, 23, 14851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10098 - 10098. Put f, -6, 3, -1, 4 in ascending order.\nAnswer: -6, -1, f, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 28\/17, 3, -1\/2, -0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**2\/(g*g*g**(2\/15))*g**(-7)\/g*(g*g\/g**(-1\/12)*g*g*g)\/g assuming g is positive.\nAnswer: g**(-81\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21332 + 211?\nAnswer: -21121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4*o**3 - 30348*o**2 + 3161392*o - 52968720 = 0?\nAnswer: -7690, 21, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -1 + 1 - k**2. Let r(p) = 6*p**2. Let v(g) = g**2. Suppose 51 + 47 = 2*b + 5*t, 3*b + 3*t = 129. Let m(s) = b*v(s) - 6*r(s). Calculate m(y(f)).\nAnswer: 3*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**2\/9 + 16424*h\/9 + 67436944\/9 = 0.\nAnswer: -8212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21702727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 5344216?\nAnswer: 5344211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/190*8\/6?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -4*d - 12. Let p be 210\/(-12)*d\/5. Factor -p*f**3 - 9\/2*f - 18*f**2 + 3.\nAnswer: -3*(f + 1)**2*(7*f - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 973197 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12312 and 1368?\nAnswer: 12312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 194, 198, 202, 206?\n\"Answer: 4*c + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 9704930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*f - 5*h, 0 = 7*f - 6*f - 3*h - 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 55266\nAnswer: 5526.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(405) - (sqrt(405) + (-3 + (sqrt(405) - (sqrt(405) + 0 - sqrt(405))))**2)) + sqrt(60)\/sqrt(3)*2*-1.\nAnswer: -414 + 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*(55\/25 - 3). Is 1150 + -3 + (8 - h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**3 + 3*u**2 - 10*u + 21. Let x be n(-9). Let f = 1583 + x. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + -3 + (0 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zuzuuzzzzzzuzu.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 35683*u - 2718*u**2 - 35683*u to t + f*u + b*u**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -62 - 19*u - 22*u - 16*u + 51 as x + f*u and give f.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 4 - 4 - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -9\/10, -41.1, -0.016, 1?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -906*u - 1. Let l be k(-1). Suppose 2*f = -f - 2*s + 545, 0 = 5*f + 4*s - l. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-7))\/(-3*(-6)\/(-189)). What is the second derivative of 22*x**3 + 3*x**4 - 10*x**3 - p*x - 12*x**3 wrt x?\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59073 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -239001 greater than or equal to -164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7\/4 (b) 1998 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*c = -2818 + 2338 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + -3)*-2 - -2. Let x(n) = n**3 - 4*n**2 - 2*n + 8. Let m be x(c). Put 3, -5, m in descending order.\nAnswer: 3, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (5 + 4 + -38) - (-4 - (-4 + 7))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three eighths of a minute?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.15 + -0.05. Which is the nearest to w? (a) 2\/7 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/31? (a) 1415 (b) -0.4 (c) -2\/7 (d) 0.5 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g**2 + 8*g + 4. What is the lowest common multiple of 9 and z(-2)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12823, 12824, 12825, 12826, 12827, 12828?\n\"Answer: u + 12822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1497 - 1498. Is -14 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m + 4. Let l(g) = g**2 - 5*g + 9. Suppose -11*f + 48 = f. Let t be 6\/(-12)*20*2\/f. What is t*b(v) + 2*l(v)?\nAnswer: 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 3. Suppose 3*g - q - 78 = 2*q, -2*q = -r*g + 83. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14680 or -14633?\nAnswer: -14680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 66569904?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-5) - (7 + 0 + -7)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.01, -26, -1\/5, 3\/7, 0.009?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*k - 111 = 2*k. Suppose 12 = -2*o - 2*o, k*a + 2*o = 213. Calculate the remainder when a is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5372, 10722, 15952, 20996, 25788, 30262, 34352?\nAnswer: 37992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20802557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-30))\/(14\/(-56))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a - 50 = -4*a. What is the lowest common multiple of 14 and -8*2\/16*a?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1305581932 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**6\/30 - o**5\/20 - 54*o**4 + 5707*o**3\/3 + 12453*o. What is the second derivative of m(y) wrt y?\nAnswer: 12*y**2 - 6*y - 1296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1258500 to the nearest 10000.\nAnswer: -1260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 11*a + 56. Suppose 5*h - 3*l + 101 = 67, 5*h + 2*l + 19 = 0. Give n(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 - 2089550*r - 10447700.\nAnswer: -2*(r + 5)*(r + 1044770)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 4\/4153 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 + 6*g - 4. Let b be q(4). Suppose -b*w = -4*o + 9*o - 20, -2*o = 3*w - 8. Solve -6*f + f - 15 = w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30156 + 7656 = -12*q. Suppose -3*s + 2*c = -q, -1217 + 3694 = 4*s + 5*c. What are the prime factors of s?\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddpddddpsddvdd. Give prob of picking 2 d, 1 s, and 1 v.\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9995 - -3548. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -351 - -332. Suppose 0*z = 3*z - 15. Put z, 0, l in decreasing order.\nAnswer: z, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.020125 to three decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-9))\/((v**(-9)\/v)\/v))\/(v**(-9)\/(v*v**(-4\/3)*v*v)))**28 assuming v is positive.\nAnswer: v**(2660\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 6*q + 2*q = -18, 5*c + 2*q = 16. Let h be ((-234)\/27)\/(6\/9) + -4. Put 1, c, -4, h in ascending order.\nAnswer: h, -4, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131 (base 6) to base 11.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1243, 2547, 3839, 5113, 6363, 7583, 8767?\nAnswer: 9909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*l - 3, -2*l + 4*h + 11 = 3*l. Suppose -n - 96 = -l*i - 4*n, 17 = i - 2*n. Calculate the highest common factor of 18 and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4290 + 4308. Solve v = -6*o - 0*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2247989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0*l + 3 = 0. Suppose 0 = -l*w + 13 - 52. Let t = -7 - w. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -253*n - 110. Is l(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/2148 and 1\/132?\nAnswer: 23628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8870.322 weeks to seconds.\nAnswer: 5364770745.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -119.167845562 - -120.3178457. Let h = i - 1.15. What is h rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48*y**3 + 162004*y**2 - 136619968*y - 125371136.\nAnswer: -4*(y - 1688)**2*(12*y + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27272, -29055, -30838, -32621?\nAnswer: -34404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63 - -74) + -14 + 1 - -7) + -80 - -11.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/182 and 26\/39 - 2\/(-96)*-146.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86*m**2 - 86*m**2 - 70*m**2 + 92 + 237*m**2 to the form o + c*m**2 + s*m and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 799?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13856 + -13693. Solve -162*l = -y*l + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 12:50 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 22 = -0*x - 4*r, 5*x + 5*r = 35. Suppose x*j + 0*j + 16 = -3*q, 4*j = 16. Let y = -4 - q. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 18*p + 1. Let h(d) = -19*d**2 + 1. Let y be h(1). Let q be j(y). Which is the biggest value? (a) -1\/4 (b) q (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32833411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p**3 + 23*p**2 + 10*p - 12. Let s(i) = 5*i**3 - 23*i**2 - 8*i + 13. Let l(u) = -4*g(u) - 5*s(u). Calculate l(23).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.7, -0.2, -34576.81?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 5*w - 10 = 0, -15*w + 140 - 65 = -6*t for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8411071?\nAnswer: 8411071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 137994*o - 137991*o - 3*q, 4*o = 3*q + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 238 - 26. Let n(d) = d**3 - 9*d**2 - 53*d + 18. Let b be n(13). Suppose -2*p - o + t = p, b*p = 4*o + 376. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2502796810 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4)\/z*z*z**(1\/5)*z)\/(z*z**(2\/9)*z*z\/z**(-2\/7)) assuming z is positive.\nAnswer: z**(-2593\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17210991 + 378736651\/22. Let w = m - 4313. Let f = 9\/2555 + -56757\/10220. What is the common denominator of w and f?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 6 + -12 + 3 - -12\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175730?\nAnswer: 2, 5, 17573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32\/3*o**3 + 14\/3*o - 2\/3 - 16\/3*o**2 = 0. Calculate o.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1868 + 356*o - 1864 - 101*o as v*o + m and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-22)\/(u*u*u\/u**(-6\/11)))\/((u\/(u**(-24\/11)\/u))\/u*(u**7\/u)\/u*u*u) assuming u is positive.\nAnswer: u**(-393\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68021 + 1043 = -271*f - 441*f for f.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-1917)*(-6)\/4. Let l = -81143\/2556 + x. Let r = l - -31. Is -2 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4693 in 2\/3, 0.3, 0, 197?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - l - 507 = -533, 6*l - 31 = 35 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -3*b + 24, -7061*b - 12 = -7063*b - 2*m for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -6689, 358, 4, -0.4 in decreasing order.\nAnswer: 358, 4, -2\/7, -0.4, -6689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65)\/(-546))\/((-6820)\/(-240) + -28).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401578\/3 at least as big as 467193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, a: 1, g: 3}. What is prob of sequence gpa?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*r - 7 - 33*r**2 - 31*r - 15*r - 9*r.\nAnswer: -33*r**2 - 19*r - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7 - -3)\/(-2) - -1. Suppose 40 = i*g - 44. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -124 - -594. Does 47 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98600.\nAnswer: 2, 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 6:29 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/4 - (-18)\/8. Let h(n) = 172205*n**2 - n - 3. Let a be h(-4). Suppose 1015275 = 3*f + 2*k + a, -1160015 = m*f + 5*k. Round f to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 243.843?\nAnswer: -243.843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 42208, 1 in descending order.\nAnswer: 42208, 1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -70*g**2 - 8*g + 1927 with respect to g.\nAnswer: -140*g - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002998452 to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -1.2, 4.6, 5?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yq when two letters picked without replacement from yyygyccq.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 119669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a meter in centimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4) + 50\/4. Let b = 4 + -5. What is the tens digit of 2*b\/((-1)\/y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5137.083 rounded to the nearest 10?\nAnswer: -5140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = q. Solve -4*o + 2*y = -10, 3*o - 2*y + 0*y - 8 = q for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*12\/(-8) + (-11)\/(-1). Sort 6, -3, t, -1.\nAnswer: -3, -1, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-68)\/510*50\/8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**3 - 42*j**2 + j - 23. Let o be x(21). Find the common denominator of 0\/(4 + 0) + o\/(-10) and (-550)\/72 + 3\/(-12).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 189846756?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -7. Let s(d) = 16*d**2 - 1. Let l be s(f). Suppose -3*y + 3*z = -18, -3*y + 2*z + 2 = -17. What is the greatest common divisor of l and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) -1 (b) 1\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2637329 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-1)\/(-9)*(-27)\/126*-7.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -290283553*h**2 + 290283553*h**2 - 357*h**3.\nAnswer: -357*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 3*q - 1. Let l be v(2). Let o = -6 + l. Solve -1 = -o*m - 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4266267 and -0.4?\nAnswer: -1706506.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(425) - (sqrt(425) - (-4 + 1 + sqrt(425) + sqrt(425)))) + sqrt(425) - (-1 + sqrt(425) + 0))**2 + (2 + (1 + sqrt(425))*-2)**2).\nAnswer: -3404 + 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 373638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 66570 or 66569?\nAnswer: 66569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -131.9 + 132. Let p be 26\/39 - 1\/6 - 4. Which is the fourth smallest value? (a) 4 (b) p (c) t (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 8*g - 85. Let p be s(19). Factor p*y + 237*y**2 - 192*y**2 + 5*y**4 + 43*y - 60*y**3.\nAnswer: 5*y*(y - 11)*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641077.\nAnswer: 641077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 3*u - u. Let t = u + -102. What is t rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 6*z = 5*z + 168 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkmmmmjwnjjwlwj. What is prob of sequence mk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0\/u*u*u\/u**(4\/5)*u*u**9\/u**0)**(-20\/3))**16 assuming u is positive.\nAnswer: u**(-1088)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -347, -1207, -2879, -5633, -9739?\nAnswer: -15467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3340 divided by 835\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61170?\nAnswer: 2, 3, 5, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.654 + 1.694025. Let g = 0.04 - c. Round g to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7707 - -2182?\nAnswer: -5525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 183 and 50359892?\nAnswer: 151079676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10592291*c**5 + 704*c**2 - 63571*c wrt c.\nAnswer: 635537460*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 smaller than 507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 4*o - 648, 7*a + 2*o = 6*a + 150. Which is greater: 156 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**8\/3528 - n**7\/315 - 11*n**6\/1260 + n**5\/90 + n**4\/21 - 74*n**2 - n. What is b in z(b) = 0?\nAnswer: -4, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1100 and 1075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -58.8? (a) 10 (b) 5\/2 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 83 - 119. Suppose -3*k = -7*k - 3*n + d, -n = -5*k + 13. Solve -8 = -k*v + 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -409, -5, -67, 2, -18 in descending order.\nAnswer: 5, 2, -2, -5, -18, -67, -409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -6 - 7*p - 17530*p**2 + 35057*p**2 - 17528*p**2. Calculate a(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t**7\/42 - 31*t**6\/30 + 3*t**5\/20 + 95*t**4\/12 + 31*t**3\/3 - 379*t. Suppose l(r) = 0. Calculate r.\nAnswer: -31, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(833) + -1) + -1*sqrt(2057) + -3 - (sqrt(1377) + 6*-2*sqrt(1377) - (5 + sqrt(1377)*2))**2.\nAnswer: -232737 - 1209*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 4:35 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179919988.\nAnswer: 2, 61, 103, 7159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392751?\nAnswer: 3, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = 5*p + 7, -s - 7944 = -p - 7941 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/2 of a hour?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 166*d**3 + 80*d**2 - 28*d - 28. Determine j(-1).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 158, 19, 5\/4, 1 in decreasing order.\nAnswer: 158, 19, 5\/4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 + 4*o**3 - 5*o**3 + (-4*o**2 - 5*o**2 - 13*o**2 + (3*o - o - o)*(4 - 4 + 2*o))*(-3*o + 5*o + 7*o).\nAnswer: -182*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2677032.2351499 less than -0.5?\nAnswer: 2677031.7351499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15115595045 + -21567171393. Let r = j + 6451576295.99999954. Let a = r - -52. What is a rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273100 is divided by 28.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -41, -1, -15, 0 in decreasing order.\nAnswer: 5, 0, -1, -15, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 + 34 = t + 4, -36 = 5*h - 26*t + 21 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 27*b - 53. What is h(-24)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 931175?\nAnswer: 5, 7, 17, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 13 = 2*z - 5*l, -5*l = -10. Suppose 0 = 3*q - q - 44. Calculate the remainder when q is divided by 6\/2 + z + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 5*l - 7. Let c(x) = x. Let n be c(0). Suppose 28 = 4*h - 5*b, -2*h = -n*h - b - 14. What is the units digit of u(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-20)\/(-72))\/((-4075)\/(-3260)). Factor -g*o**2 - 2\/9*o + 4\/9.\nAnswer: -2*(o - 1)*(o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5570272 divided by -348142?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1300162818 and -0.2.\nAnswer: 1300162817.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 2*n**2 + 140 - 239 + 99. Let c(v) = -v. Let a(i) = 6*i - 30. Let u(y) = -a(y) - 5*c(y). Give r(u(w)).\nAnswer: 3*w**2 - 180*w + 2700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 0.08, 7, 2\/17?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) 2\/3 (b) -0.1 (c) -1\/2 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -5*m**4\/4 - 10*m**3\/3 + 25. Factor l(i).\nAnswer: -5*i**2*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122 - -10?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 1 + (2 - 11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -447*x**2 + 782*x**2 - 855*x**3 - 678*x**3 + 611*x**2 wrt x?\nAnswer: -9198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + -15)\/((-26)\/(-13))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 214*k - 1445. Give u(7).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j**2 - 9*j - 34. Let r(u) = -5*u**2 + 19*u + 62. Let f(i) = 7*k(i) + 4*r(i). Suppose -8*s + 5*s - 36 = 0. Calculate f(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(475) + 1 + 4).\nAnswer: 20 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1232*j - 14724 - 10317 = 241*j for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 60 + 10 = 2*j, 3*d = 12. Solve -74*f + 74 = -j*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/2090 and 187\/1043610.\nAnswer: 218114490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5828*d + 5833*d - 175*d**2 - 11661*d. Let k(o) = -27*o. Give f(k(h)).\nAnswer: -127575*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 2*n + 11. Let f(t) = -t**3 + t + 63. Calculate the remainder when f(0) is divided by x(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1581327903?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93 + -91. Factor 0 + 1\/5*t**p - 2\/5*t.\nAnswer: t*(t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/19)\/((w**(5\/4)\/w)\/w*w))\/((w*w*w*w\/(w\/w**7))\/w)**6)**(-43) assuming w is positive.\nAnswer: w**(176945\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-2)*(64\/24)\/(20 - 16). Let c(a) = -4*a**3 - 4*a**2 - a + 4. Give c(m).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/2371 - -42668\/11855. Let u = y - 31\/10. Which is the second biggest value? (a) -0.4 (b) -4 (c) u (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 700.7495475 to the nearest integer.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.7 + 12.7. Let s = 13 - v. Let r be (8\/14 + -1)*14\/8. Which is the third biggest value? (a) -0.1 (b) 1\/2 (c) s (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 0*g - 5*g - 3 - 2*g + g**2. Let b be c(8). Suppose d - 28 = -5*h, d - 2*h = -2 - b. Solve 0 = 3*q - 3*t, -4*q + 2*q + 10 = d*t for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence idei when four letters picked without replacement from iiieggggigitidde?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75)\/800)\/(-2*(-114)\/40 + (14 - 20)).\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2 - 1 - 2 + 0 + (-1 + 2 + 0)*(2 + 1 - 2) + 5 - 3 - 4 - 3 + 1 + 4)*(6 - 4*h**3 - 6).\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.06379 decades to months.\nAnswer: 8407.6548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 915748124 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*u)*(-72*u + 4*u - 12*u)*(-19*u - 228 + 228).\nAnswer: 3040*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 - 20. Let a = q - 17. Suppose 5*d + 12 = 2*z - 0*z, 2*d = -4*z. Sort 0.3, a, d in increasing order.\nAnswer: d, a, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 137 by 116542.\nAnswer: 137\/116542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**3 + 7*c**2 - 3*c + 41. Calculate the smallest common multiple of 2 and f(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - j + 326 = 3*f, j + 98 = f. Calculate the remainder when 201 is divided by f.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1344)\/45 - 28\/(-105)*(-2)\/4. What is the closest to 2\/13 in -2\/7, 0.3, -1\/3, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*j + c - 9, -4*j - c + 52 = 0. Let t(g) = -g**2 - 8*g - 9. Let h be t(-6). Suppose 5*v + j = h. Sort 3, 5, v in increasing order.\nAnswer: v, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 = 0, a + 4*c + 3 = 2*c. Let o = 0.04 - -4.96. Let b = -4 - -4. What is the smallest value in a, b, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.029, 4, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 858616 and 328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c = -3*c + 28. Suppose 40 = -0*z + 2*z - 5*i, z = -4*i - 6. Suppose 4*x + c*d + z = 0, -14 = 4*x - 5*x + 5*d. Is 1\/6 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 + -2.5. Let d = v + -1. Let z be 0\/(4\/(-1) + 3). What is the closest to d in -0.5, 1, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 403103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 291*b**2 - 8*b - 11. Let w be u(5). Suppose -4*z - w = 5528. Let r = 19312 - z. What is r rounded to the nearest one thousand?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mv when two letters picked without replacement from vdmvm?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/42 + 821\/7. Suppose -30 = y - 7*y. Suppose -3*p = -c - 4*c - 83, -3*c - m = -y*p. What is the remainder when 81 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -24*n + 7*n + 929 + 15*n - 927 + 57*n**2 - 13*n**2. Determine y(-2).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**5 + 4*f**5 - 3*f**5)*(-4 - 3 + 3) + (-f - 2*f + 4*f)*(4*f**4 - f**4 - f**4).\nAnswer: 6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19836 less than 19836?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 2 (c) 735 (d) -0.3982\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7927307 or 7927286?\nAnswer: 7927307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-4 - (-5 + -1 - (6 - 1))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3 + 2. Let v = -219790\/3 - -73265. What is the third biggest value in -0.45, o, v?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -10. Suppose -114 = -p*m + 106. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 263757 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 6:04 AM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m + 10. Let a = -8 + 0. Let s be v(a). Suppose -s*w = -5*w. Which is greater: w or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2267*y + 4532*y - 2260*y.\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -296428 divided by 11?\nAnswer: -26948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 7*p - 13. What is v(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 220, 288, 4, 5 in decreasing order.\nAnswer: 288, 220, 5, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -56 - 28*a + 56. Let o be w(-1). What is the greatest common factor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*(3 + 4\/(-2)). Let z = 5 + m. Is z greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -14.9. What is the smallest value in d, -0.1, 4, 10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781 is divided by 382.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 + -112*495\/528?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/57000 and -43\/39900.\nAnswer: 399000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 1:48 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*p - 27*p + 39*p - 5)*(6 + 2 + 12*p - 14*p).\nAnswer: 8*p**2 - 22*p - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + -3 + 3\/3. What is the third derivative of 5*t**4 + 5*t**y - t**2 - 2*t**2 wrt t?\nAnswer: 240*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 1190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7738 - -0.9738. Which is the second smallest value? (a) 0 (b) v (c) -63 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -7*q + 4. Let a be o(-6). Suppose -2*r + 3*k = -a, -5*k = -6 + 16. What is the remainder when 78 is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -19*c**3 - 4*c**2 - 4*c + 4. Let v(k) = 19*k**3 + 5*k**2 + 5*k - 5. What is -5*b(j) - 4*v(j)?\nAnswer: 19*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vbhslvshshh. Give prob of sequence vsl.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1645 divided by -6.\nAnswer: -1645\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 0. Suppose -17 - 61 = -32*t + 82. Solve 0 = 4*j - 4*b + 4, t*b = w*j - 4*j + 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + x. Let o(m) = -5*m**2 - 3*m + 27. Give 3*k(s) + o(s).\nAnswer: -2*s**2 + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240391?\nAnswer: 421, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15*9\/(-405))\/(3\/(-18)). Factor 0 - 1\/4*p**4 + 1\/4*p**r + 1\/4*p**5 - 3\/4*p**3 + 1\/2*p.\nAnswer: p*(p - 2)*(p - 1)*(p + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-10 - -1 - (0 + (-37 - -15)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 113780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from {d: 2, u: 2, z: 1, c: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21.9 + -21.899999852. Round y to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -7*r**3 + 5*r**2 - 3*r - 9. Let m(k) = -15*k**3 + 11*k**2 - 7*k - 19. Let a(q) = 13*g(q) - 6*m(q). Calculate a(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of h**5\/20 - 5*h**4\/12 + h**3 - 3*h**2\/2 - 3*h. Let j = 4 + 0. Give g(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -3 + (4 - 0) + 5 + -12.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 19*t**2 - 18*t + 3. Let r be p(-18). Suppose -5 + 11 = 2*y, -13095 = 3*h - r*y. Is h\/(-54) - (-2)\/9 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8066 + -8066.00000644. What is q rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268705?\nAnswer: 5, 61, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 6*d**2 + 2*d - 8. Let p be j(6). Suppose 3*b + 15 = 0, 2*k - k = p*b + 31. Suppose -17 = -4*z + k. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dbb when three letters picked without replacement from dddddddbdddb?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1494273668 divided by 373568417\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-7))\/k**(-2\/27)*(k**2*k)\/k**(-1\/2))**(-47) assuming k is positive.\nAnswer: k**(6157\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 576 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 - 1101169?\nAnswer: -1101154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + g + 3*g)*((-60*g**4 + 300*g**4 + 18*g**4)*(0 - 2 + 0) - 2*g**4 + 3*g**4 + g**4).\nAnswer: -3598*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.950221 rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**3 - 13*u**2 + 22*u + 5. Let l be x(-8). Let c be (2\/(-12))\/(1*(-7)\/l). Which is smaller: c or -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*f = 56, -5*f + 59 = 4*i - 0*f. Calculate the remainder when 43 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2518899 + 1238899. What is v rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.48*-24693\nAnswer: 36545.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 + 0*k**2 - 47*k**3.\nAnswer: -47*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-48)\/(-198)*3\/4. Let l = 106 + -51. Let q be l\/(-60) - (-3)\/12. Which is the third biggest value? (a) u (b) -1 (c) 3 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - 0. Let k = a - 1. Let z be (2\/k)\/((-3)\/(-9)). Sort -3, -2, z.\nAnswer: -3, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 30 = 2*t + 54, 24 = 3*l - 5*t for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-13)\/(-4))\/(10 + 30228\/(-3024)). What is the highest common divisor of 105 and z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1442 (base 6) to base 11\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1\/7 (b) 0.02 (c) 43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 10 - (6 + -9)) + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-231)\/(-385))\/(11\/5)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*q - 14, -4*a = q + 4*q - 49. Let f be (a\/9)\/(8\/36). Find the first derivative of 21*g**4 - 5 - f*g**4 - 5*g**4 + 0 wrt g.\nAnswer: 52*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in sixty-one quarters of a millimeter?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 0 - 15. Suppose -180 = 4*j - 2*p, 3*j + b*p - 6*p + 129 = 0. Let k = j + 77. What is the greatest common divisor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -207.74 rounded to the nearest integer?\nAnswer: -208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 0. Let j(b) = 0*b**2 - 2*b - 5*b**2 + 2*b**2 - a*b. Let n(p) = -10*p**2 - 16*p. What is 16*j(v) - 5*n(v)?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -15. Let x = k - 4. Suppose 4*z = r - 3 - 1, -2*z - 2 = 0. Solve r = -3*g - x + 17 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73 + -54. Let o be -1 + (-3)\/(-1)*v. Does 30 divide (60\/14)\/(2\/o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, 4, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 + -18. Let k = i + 75. Suppose -13 = -k*n + 12*n. Calculate the remainder when 89 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + -19 + 69 - -43?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2552731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v. Let t(n) be the third derivative of n**5\/60 + n**2 - 44*n. Give t(l(c)).\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3*(-35)\/63)\/(2\/12). Suppose 0 = 2*n + d, 2*o + n = 4*o - 15. Solve 3*r = -2*f - 5, 3*f - 3*r = -5*r - o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)*-2 + sqrt(19) + sqrt(2299) + 1 + sqrt(19) - (-4*sqrt(76) + -4))**2 - ((sqrt(171) - sqrt(171)*-3)*3)\/(sqrt(90)\/(sqrt(30)\/sqrt(3))).\nAnswer: 118*sqrt(19) + 3236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28573 + -28570. Solve v*b = 5*i - 10, 5*i - 2*b - 8 = -3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 7*k - 2. Let j be t(5). Calculate the highest common factor of j and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38.1 - -8.1. Let d = 30 + h. Let a = -0.16 - -0.2. Is a <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 54*g - 59*g + 142, -68*i + 196 = 2*g for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 1100540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 2*y + 6 = -12, -4*b - 4*y = -28 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 84.17217 centuries?\nAnswer: 8.417217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 - 109*v**3 + 354*v**3 - 287*v**3 - 2*v**2.\nAnswer: -42*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1665202 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -12.438550839?\nAnswer: 12.338550839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*f + 1478 - 2*f**2 - 1478 - 679*f + 229*f + 224*f.\nAnswer: -2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 10:47 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 35, 0.2, 0.3 in descending order.\nAnswer: 35, 0.3, 0.2, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f*f*(f**(9\/5)\/f)\/f)\/f)\/(f*f**25) assuming f is positive.\nAnswer: f**(-116\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1896 - -1894. Put o, 3, 26 in descending order.\nAnswer: 26, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z**21\/z)*(((z*z**20)\/z*z)\/z)\/z assuming z is positive.\nAnswer: 1\/z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(3*v - 3*v - 3*v**3)*(2*v - 2*v + 2*v).\nAnswer: -6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0054809967 rounded to five decimal places?\nAnswer: -0.00548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ioooooioioooiooooooo. Give prob of sequence oo.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + 2 - 2 + (4 - 3 + 0)*(0*t - 3*t + t) - 1 - 2*t + 1 + (6 - 1 - 4)*(t - t + 3*t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -25. Let w be ((-1)\/2 - 49\/(-14)) + i. Let t = w + 44. What is the highest common divisor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 1007*u + 138 = -1012*u, 19*u - 28 = 5*q - 12 + 106 for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 13 = -8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 2:18 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + -7. Suppose 2*p - 6 = 0, -o = 4*q - 2*p + 8. Let d be (q\/(-9))\/((-1)\/(-18)). Calculate the highest common factor of d and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 1 - 4. Suppose -3*q - 5*c - 15 = 0, 2*q + q + 12 = -4*c. Sort p, q, 4 in decreasing order.\nAnswer: p, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*s - 21 + 7, -5*f - 75 = -5*s. Let t(r) = r**2 - 10*r - 9. Suppose -3*d + 6*d - 15 = 0. What is the remainder when d is divided by t(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -i - 5*v + 26, -2*i = -4*v - 4. What is the least common multiple of i and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*o - 2*o**3 - 6*o + 59 - 4*o + 0*o to v + b*o + d*o**3 + p*o**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21296756?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 97776 and 2016.\nAnswer: 195552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -103675 + 651372\nAnswer: 547697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 19. Let u(c) = -2*c**x - 2 - 2 + 4*c**2 + 3*c**2 + 3*c + c**3. Let t be u(-4). Solve t = -3*b + 8*b + 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23.6 times 0.5\nAnswer: -11.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*i - 59 = 69. Suppose t = -4*t - i*q + 310, t + 4*q - 62 = 0. Suppose -65 = -3*s - 17. Calculate the remainder when t is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 24111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 3 - (0 + -14). Suppose -3*t = -20 - 19. Let m = t + -9. What is the greatest common divisor of c and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 3 - (1 + 4 + -8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 54, -9, -124, -297, -534, -841, -1224, -1689?\n\"Answer: -l**3 - 20*l**2 + 4*l + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(15)\/(sqrt(3) + sqrt(18)\/(sqrt(24)\/sqrt(4))) - (sqrt(180)*-3 + 0)))**2.\nAnswer: -148*sqrt(5) + 6909\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 189857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -95*c + 99*c. Factor 0*g**5 + 4*g**5 - 16*g**4 + 82*g**2 - 90*g**2 + c*g**3.\nAnswer: 4*g**2*(g - 2)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7.391 (b) 3\/2 (c) 7 (d) -0.4 (e) -5\/4 (f) -3\/8 (g) 0.13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9172, -18331, -27488, -36643, -45796?\nAnswer: -54947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17697b (base 12) in base 7?\nAnswer: 3306632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237 - 249 - 255 - 244 + 179*k**2 + 985.\nAnswer: 179*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = b - 3*m, -4*b - m = 6 + 11 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 11) to base 9.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (-1 - 1)\/2. What is the second smallest value in -2\/17, x, 0.2, -0.2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 154 + 164. List the prime factors of u.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019033 rounded to 3 dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 11) in base 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-5 + -6 + -4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 323*w - 321*w - 2*w**2 - 7*w**2.\nAnswer: -9*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -21. Let i = -15 + u. Which is greater: 6 or i?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 + -18 + -9 - -12\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 14 = -f, -11*r = -3*f - 6*r - 13. List the prime factors of (4 - 6)\/(f\/(-302)).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -617.2 + 684. Round d to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*3*(sqrt(320)*2 + -1) - (-6*(sqrt(320) + 1) + sqrt(320) + (sqrt(320) + 5 - sqrt(320))*3))**2.\nAnswer: -6624*sqrt(5) + 169604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 7.3695?\nAnswer: 25.3695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13185, -13190, -13197, -13206?\n\"Answer: -q**2 - 2*q - 13182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-9)\/x*x))**15)**(4\/5) assuming x is positive.\nAnswer: x**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.156 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/2 - -5)\/((-60)\/(-16))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34400 + -430304?\nAnswer: -1020204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lliw when four letters picked without replacement from ilwiwlwwiwwwwiwh.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2944 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 4*v - 554, -269 = -y - v + 3*v. Let s = y - 149. Suppose j = -3*j + s. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/10 - 144\/(-80).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1 + ((1 + sqrt(475) - sqrt(475)) + 5 - sqrt(475))))**2.\nAnswer: -2520*sqrt(19) + 18864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 3 + 5)*(72 - 16*c - 72) + (5*c - 4*c + 2*c)*(1 - 3 + 4))*(-2 + 1 + 3).\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 27 + 1 - (-5 + 4). Let t be 615\/1025 + 1\/(5\/7). Suppose t*d - c = 7. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 46253 + 43747 = 0. Round c to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5003 to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 7. Let v be (-16)\/2 - (h + -1). Let j = 17 + v. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - r**2 - 53*r - 371. Determine d(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -7*1692\/(-84) + (2 - -1). Suppose w - 2*w + 3*d = -1, -2*w - 4*d + 52 = 0. Calculate the greatest common factor of w and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -1967*q**2 + 5960*q + 3140. Differentiate n(h) wrt h.\nAnswer: -3934","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(720))*-1*2 + sqrt(720)*-1 + sqrt(720) + 4 + 0)*4 + -4)**2.\nAnswer: -3840*sqrt(5) + 46480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*s - 1. Suppose s = 4*c + 10. Let t = 572 - 570. Put t, c, -1, 4 in decreasing order.\nAnswer: 4, t, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -675\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 795408, 1590802, 2386196, 3181590, 3976984, 4772378?\nAnswer: 5567772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 0*u**2 + 2*u**2 + 19*u - 18*u - 3*u**2. Let b(l) = 7*l**2 - l + 14. Let c(o) = -4*a(o) - 2*b(o). What is the first derivative of c(i) wrt i?\nAnswer: -20*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9930410 to the nearest 10000.\nAnswer: -9930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/6*3)\/((-1)\/(-2)). Let q(o) = -4*o**2 + 3*o**2 + 12*o**2 + 5*o**2 + 3*o + 12. Calculate the remainder when q(s) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 0.8 (c) -3 (d) -22 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -s - 354. Let f = -54 + s. Suppose -f*v + 38 = 4*r, -4*r = v - 0*v - 14. Does v = 33\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/3157521?\nAnswer: 2\/3157521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 8*f + 3. Let w(q) = 2*q**2 + 32*q + 49. Let n be w(-14). Give u(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 32*c**2 + 366*c - 14737. What is t(34)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 10 = -2. Suppose g + 0 = j. Let y(l) = -5*l - 5 + 4 - g*l + 5*l. Calculate y(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 3:31 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p + 22*p - 3*k = 16*p + 125, -2*k = -5*p + 50 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1851768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 + u + u**3 + 0*u**3 + (3 + u - 3)*(-u**2 + 5 - 5).\nAnswer: -2*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 - -34. What are the prime factors of (-7 + -3)*k\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 121 - -115321?\nAnswer: 115442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/1177256 at least -0.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 1 + 2*y**4 + 2 + (3*y**2 + y**2 + 2*y**2)*(3*y**2 + 2*y**2 - 3*y**2).\nAnswer: 14*y**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3012 + 3?\nAnswer: -3003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46781567 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -241 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 - 36. Let u = p + -95. Let o = 76.037 + u. Round o to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 divided by -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -x - 3*g + 42, 0 = 4*g + 20. Let s be x\/6*72\/30. Suppose -s = -z - z. Solve -4*m = -u + 9, 0 = 4*u + m + 3*m - z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*s + 0)*((s + s - 4*s)*(-2*s**2 + 2 - 2) - s**3 + 4*s**3 + s**3 - 3*s**3 - 4*s**3 + 5*s**3 + s**3 + s**3 - 3*s**3) - 101*s**3 - 32*s**4 + 101*s**3.\nAnswer: -22*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2976, -5, -7, 5 in descending order.\nAnswer: 5, -1, -5, -7, -2976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(275\/10*(-6)\/30)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**7\/840 + n**6\/180 + n**5\/120 - 5*n**3\/6 + n**2. Let x(r) be the first derivative of h(r). Solve x(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-53)\/11 - (-8)\/(-44).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**2*s**3*t*x + 20*h**2*s**3 + h**2*x**2 + 2*h*s**3*x + h*s**2*t*x**2 - 2*h*t*x**2 + s**3 + t*x**2 wrt h?\nAnswer: 2*s**3*t*x + 40*s**3 + 2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-30))\/(-4*(-126)\/720)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 251601770*v**2 - 30101*v + 675?\nAnswer: 503203540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**3*v)**(2\/5)*(v**(2\/13))**40 assuming v is positive.\nAnswer: v**(504\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*t + 4*t = 264. What is the highest common divisor of t and 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3. Let y(l) be the first derivative of 0*l**3 + 5 - l + l**4 - 1\/2*l**2. What is -3*t(f) + y(f)?\nAnswer: f**3 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 222.1 - 225.9. Do -52\/3 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1052, 4207, 9464, 16823, 26284, 37847?\nAnswer: 51512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1930 divided by -386\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of f**4\/12 + 4*f**3\/3 - 9*f. Let y be n(-4). What are the prime factors of (y\/(-12))\/((-4)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-9))\/1 + (-28)\/(-21). Let s(n) = 2*n**2 - 6*n + 6. Let x be s(p). What is the third derivative of 7*a**3 - 24*a**x + a**4 - 41 + 41 wrt a?\nAnswer: 24*a + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.83643317 + -67016\nAnswer: -67017.83643317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*k - 4 = 0, 2*k - 13 = -5*z + 6*k. Sort z, -0.5, -1.71.\nAnswer: -1.71, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -13. Let k = -0.154 + 0.354. Which is the third biggest value? (a) u (b) k (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*o + 0)*(-o - 2 + 2) - 2*o**2 + o**2 + 2*o**2 + o**2 - 6*o**2 + 3*o**2 + (-1 - 2 + 5)*(3*o**2 - 4*o**2 - o**2) - 4*o**2 + 2*o**2 + o**2.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7684*h + 208 = 7668*h for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39678 divided by -778.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 a when three letters picked without replacement from {a: 13, b: 3}?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-25 - 9*g + 25)*(-1 + g + 1 + (-5*g + 0 + 0)*(1 - 2 - 1) + 2*g - g - 6*g - g + 1 - 1) as d*g + i + p*g**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 46441?\nAnswer: 46437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 94183. Let k(i) = 36*i**2. Calculate b(k(c)).\nAnswer: 1296*c**4 + 94183","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1302874 less than -1302826?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200774 is divided by 73.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 0. Let b = 18 - 12. What is the remainder when o is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -9*v. Let w be x(-4). Let p(o) = -2*o - 34. Let m be p(-12). Let t be (-96)\/(-9) + m + (-104)\/(-6). What is the highest common factor of w and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 24, 26, 28, 30, 32, 34?\n\"Answer: 2*d + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5 - -2.1. Let s = -2.1 + p. Suppose -14*k - 138*k + 304 = 0. Which is the second smallest value? (a) s (b) -3 (c) 1 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378*y + 381*y = 34008. List the prime factors of y.\nAnswer: 2, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 3*k = 12, -k - 24 + 16 = -3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 12*w + 41 = i, 0 = 5*i + w - 100. Calculate the highest common factor of 609 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -115 - 154 + 175 + 2*k**3 to the form j*k**3 + p*k**2 + y + s*k and give y.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6.0273 - 0.0273. Which is the closest to 2\/9? (a) -0.5 (b) n (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10849, 12231, 14537, 17767, 21921, 26999?\n\"Answer: 462*y**2 - 4*y + 10391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 0*g - 4*g)*(0 - g + 0) + 5*g**2 + 2913 - 6*g - 2913.\nAnswer: 8*g**2 - 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 16, w: 2}. What is prob of picking 2 w?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1355.\nAnswer: 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24781 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.049 + 0.699. Let m = 0.35 + h. Which is the fourth biggest value? (a) 0.5 (b) -2\/15 (c) -1\/7 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**3\/3 - 32*t**2\/3 + 3301*t\/3 - 3268\/3 = 0.\nAnswer: -76, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -78. Let b = -3\/13541 - 5429917\/108328. Let l = u - b. Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-63) - 166\/2905)*5\/(-11).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02155927 rounded to five decimal places?\nAnswer: -0.02156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**2*l**2 - 26*f**2*l*w**3 + f**2*l - 8*f*l**2*w**2 - l**2*w**3 + w**3 wrt l?\nAnswer: 2*f**2 - 16*f*w**2 - 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 10. Let l = 7 + x. Sort l, 4, -4 in increasing order.\nAnswer: -4, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-138 - (-62 + -56)) + (7 - 0).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10512555, -21025112, -31537669, -42050226, -52562783, -63075340?\nAnswer: -73587897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 3\/38661796 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 152a191 (base 12) to base 5\nAnswer: 2044223044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**3 + 4*v**2 + 6*v - 6. Let q(y) = -7*y**3 - 8*y**2 - 11*y + 11. Suppose 4*f + 44 = 4*x, 16 = x - 2*f - 0*f. Calculate x*q(d) + 11*s(d).\nAnswer: 2*d**3 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + r - 1. Let b(s) = 252*s**3 - 315*s + 315. Determine b(i) + 315*n(i).\nAnswer: -63*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/72*(-2)\/(-6)*-1.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -614840702, -1229681406, -1844522110, -2459362814, -3074203518, -3689044222?\n\"Answer: -614840704*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7211067 - 3605532 - 3605535 + 16*a**3.\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 2, 25.75, -3, 2\/7, -4, -15?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 15 = -2*s + 3, 0 = 4*h - 20. Suppose -3*n + 24 = 5*n. Let i be (-2)\/(5 - n) - 8\/(-48). Which is the second biggest value? (a) 20 (b) s (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/27 in -0.09, 1, 4, -4?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(288)*-1 + -4))**2 + -2)*-6 + -1.\nAnswer: -65653 - 20736*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*j + 2*q, 15 - 5 = -2*q. Let h be ((-6)\/(-10) - 1)*1. Which is the closest to h? (a) -2\/7 (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**3 - 51*d**2 + 26*d - 13. Let u be r(-26). Let p = -23.99 - 0.01. Let h = p + 23.7. What is the closest to -0.1 in u, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**2 - 9*j + 3*j**3 - j + 11*j + 0*j**3 + j**3 - 2*j**3 + (j + 2 - 2)*(0*j**2 - j**2 - j**2) + 0*j**3 + 0*j**3 + j**3 - 4 + 4 - 2*j**3.\nAnswer: -j**3 - 5*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2\/3 + 772885*t\/3 + 772900.\nAnswer: -5*(t - 154580)*(t + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10021100, 10021098, 10021096, 10021094, 10021092, 10021090?\n\"Answer: -2*f + 10021102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23086.526 - -23172. Let y = -85 + w. Round y to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.56 + -8.56. Let p = n + -14. Let o = p - -14.2. What is o rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 7*q + 6 = 0. Let m(g) = g**3 - 5*g**2 - 6*g - 7. Determine m(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102795 and 55099.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 12*v**5\/25 - 2*v**4 + 13*v**3\/5 - 9*v**2\/10 + 5. Find h such that r(h) = 0.\nAnswer: 0, 1\/3, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.8 - 3. Let f = o + 1.2. Let d be 6\/(-36)*32\/4. Sort f, d, 1\/4 in increasing order.\nAnswer: d, 1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1248\/16)\/(-26))\/((-6)\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -111 (b) -7\/275 (c) 5 (d) -2 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -29*h**3 - 34*h**2 + 8*h - 20. Let v(x) = -11*x**3 - 11*x**2 + 3*x - 7. Let q(u) = -3*o(u) + 8*v(u). Determine q(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75754.\nAnswer: 2, 7, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 + 28 + (-2 - 0) + 6 - -51) + -5?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v + 1. Let n be x(-4). Let h(m) = -1 - 4*m**2 + n*m**2 + 3*m + 0*m**2 + 4*m. Give h(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -20 (b) 13\/4 (c) -2 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 368022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 4:37 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26569 or 26570?\nAnswer: 26569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + -1 - 17*-1. Let q = 5074 + -5073. Calculate the greatest common factor of c and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 4*g = -36, -241 = 2*v + g - 247 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28533627 - 16953627. What is w rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 13. Let f = -190 + 95. Let l be ((-1)\/(-2))\/(f\/(-20) + -4). What is the closest to 6 in x, -1\/2, l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211 - 224 = -13*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 5 = q. Let -3*h**2 - q*h**2 - 6 - h**2 + 15*h = 0. What is h?\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) -2\/3 (b) -82 (c) -0.3 (d) -2924\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**3 + 7*b**3 - 8*b**3 + 0*b**3 + 3*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3*f + 10*f + 9*f - 4*f.\nAnswer: 12*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/(-75)*9*2\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -97048618, -194097236, -291145854?\n\"Answer: -97048618*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*z - 10, 2*z - 23 = 3*y - 3*z. Let d be (y\/(-1))\/(3\/5). Solve -l + 3*w = -0*w + d, -2*l = 2*w - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lkskkskkksskk. Give prob of picking 1 k, 1 s, and 1 l.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/6)*j*(j**(-4\/9)\/j)\/j)**(-6) assuming j is positive.\nAnswer: j**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14 - ((42 - 17) + -7) - (-101)\/14 and 53\/326.\nAnswer: 2282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 26. Suppose 0 = -p + 4*p + b. What is the third smallest value in 0.2, p, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075 a factor of 3024669614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 649.\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 5278.3003 days?\nAnswer: 754.0429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, u: 1, m: 3}. What is prob of sequence ul?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 5*s - 45 = -y, 2*s = 2*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from enennnenneeee.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o**(-9\/7)*o))**(-1\/2) assuming o is positive.\nAnswer: o**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -10. Let p = 15 - v. What is the greatest common divisor of 30 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31 in 0.2625, 3, -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 323030 (base 10) to base 12\nAnswer: 136b32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -40*g - 3010. Let q(k) = -4*k. Calculate p(q(c)).\nAnswer: 160*c - 3010","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by 4929.\nAnswer: 9\/1643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-620)\/(-84) + 2\/7. Let n = h + -8. Is n greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39.1 - 39. What is the closest to 0 in 3, w, 11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + (sqrt(114) - (sqrt(114) - (sqrt(114) + (1*sqrt(114) - sqrt(114)))*-5)))\/(-4*sqrt(24)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 8 + 4. Let k(j) = -1255*j + j**2 - 1258*j + 2513*j - 5. Determine k(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 45*c - 892 = 40*c, 0 = 5*o - 5*c - 4580. What is the hundreds digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030721622 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -858*y + 1886 = -7552 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000398719771 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 951 - 934. What is the third biggest value in 0.4, y, -3\/8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*m + 0 = 3, 5*z - m = -1. Suppose -16 = 4*o + 4, -3*p - 2*o - 19 = z. Sort 5, p, -4.\nAnswer: -4, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -98 + 109 + (-2)\/(-8)*(-5 - -13)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(45\/6)\/5. Let w be 1 - 3\/(v\/4). Suppose y + 28 = 4*o, -w*o + 40 = -o - 4*y. Solve -a - 17 = 3*f - o*a, -4*f = -2*a + 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -7*n - 2. Let v(y) = -40*y + 60. What is 5*p(h) - v(h)?\nAnswer: 5*h - 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7*c + 205. Let f be -5 + 171\/27 - (-106)\/6. Let y be q(f). What is the highest common factor of y and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 4*b**2 + 3*b - 2. Let j(p) = -4*p**3 + 2*p**2 - p - 2. Let v be j(-1). Calculate k(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a (base 12) to base 9\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6962416 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1272 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - -14 - (0 - (-1 + 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*l - 18 = 0, 5 = -3*p - 3*l - 7. List the prime factors of -4 + 0 + p + 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.004 times -0.5\nAnswer: -0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 + h + 1. Let y be x(-1). Let d = -166 + 171. Suppose -d*f - 4*g + 10 = -2, -2 = g. Solve y*n + 14 = f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5246, 41261, 138524, 327503, 638666?\nAnswer: 1102481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 0*x - 2*x - 261, 4*x = 4*y - 1048. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*g - 331 = 1509 + 542 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 836, 2813, 6664, 13013, 22484, 35701?\nAnswer: 53288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1400168 to the nearest integer?\nAnswer: 1183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19965783 is divided by 42845.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78414?\nAnswer: 2, 3, 7, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 + -50. What is the nearest to 0.1 in -1\/2, 1, j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/187421 and 99\/28834?\nAnswer: 374842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -10*y + 1. Suppose w = 5*s - 21, 2 = -2*s - 4*w + 28. Suppose -s*h - 8 = -h. List the prime factors of m(h).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 divided by 293?\nAnswer: 82\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.02, -0.5, 11, 4\/5, -11?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in nineteen tenths of a millisecond?\nAnswer: 1900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 77 = -51. Which is greater: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42099*x = -41879*x - 2860 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -198?\nAnswer: -198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2299) + sqrt(2299))**2 + (sqrt(475) + 1 + sqrt(475) - sqrt(475) - sqrt(475)) + -3.\nAnswer: 2297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -16*a**4 + 64*a**3 - a**2 - 52*a - 19048*a**5 + 19036*a**5 - 7*a**2 + 24 = 0.\nAnswer: -3, -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10362 + -7019. Suppose -a + c = 2*r, -11156 + 1121 = -3*a - 3*r. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1126 + 2198. Suppose -238 - 286 = -r + 5*f, 0 = -2*r + 4*f + b. Suppose -13*j + 17*j = r. List the prime factors of j.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-45))\/(-1*(-16)\/(-6)). Let c(s) be the third derivative of 0*s**4 + 1\/3*s**3 + 0*s + x*s**5 + 2*s**2 + 0. Differentiate c(r) wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 2:48 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 10 = a, 4*h = -a + 5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(4\/72*54\/(-81)*(9 - 15))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 9. Let f = 12917 - 12892. Put -1, f, n in descending order.\nAnswer: f, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/((990\/(-80))\/(-11))*3.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*n + 40. Let a = 67 + n. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1522014690 - -1?\nAnswer: 1522014691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*l**3 - 4*l + l**2 + l + 8*l**3 + 5*l wrt l?\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*o**2 - 3*o**2 + o**2 + o - o + 5*o**2 + (-3 + 3 - 2*o)*(0*o - 4*o + 0*o) - 4 + 4 - 11*o**2 + (2*o + o - 2*o)*(-4 + 4 - o).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 567280 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1871 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -12*o**3 + o - 2. Let i be j(1). Let y = i + 16. Put -1, -3, y in descending order.\nAnswer: y, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9\/5, 78, -0.2 in decreasing order.\nAnswer: 78, -0.2, -9\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -i**2\/2 - 1. Let l be d(-3). Solve -2*j = -2*s + 4, 3*j - 3*s + l = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 423 and 238995.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0 (b) 2\/1837 (c) -3\/7 (d) 0.5 (e) 3\/5 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 0) + (-11 - -12)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1320.99433 + 1321. Round k to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smmm when four letters picked without replacement from {s: 1, g: 1, m: 16}?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10, 2, -25, -3 in decreasing order.\nAnswer: 2, -1, -3, -10, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-32)\/384)\/(((-9)\/(-8))\/1). Put s, 4, -1\/3 in increasing order.\nAnswer: -1\/3, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 92 and 0.24 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3685777.6 to the nearest 10000.\nAnswer: 3690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -187?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 807083 is divided by 8869?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22424 - 5*u**3 - 22424.\nAnswer: -5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**5\/60 - 5*t**4\/24 - 17*t**3\/6 - 13*t**2\/2 + 12*t. Let o(r) be the first derivative of a(r). Is o(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.449*108.\nAnswer: -48.492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172428, 344857, 517286?\nAnswer: 689715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-223 - 917 + 611)*(-f + 5 - 2 - 1) to the form x + w*f and give w.\nAnswer: 529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 936\/17 - 2673\/68. Let m(l) = 2*l + 1. Let a be m(-2). Find the common denominator of (-94)\/36 - 1\/a and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21924 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**2*l**3 + 1785*c**2*l**2 + 3*c**2 - 126321*c*l**3 wrt c?\nAnswer: -2*l**3 + 3570*l**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = -3*n - 2*j, -9 = 2*n - 3*j + 39. List the prime factors of (-5164)\/n - (-16)\/(-120).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 45*s**2 + 84*s - 53. Determine o(-43).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 269*t**3 - 10*t**2 - 4*t + 30. Let c be g(-6). What is c rounded to the nearest one thousand?\nAnswer: -58000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ldu when three letters picked without replacement from {l: 1, d: 1, z: 4, u: 11, c: 1, g: 1}?\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 105, 3862950 in decreasing order.\nAnswer: 3862950, 105, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 30066473053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4331 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 386\/(-36) + 1 + (-96 - (-86 - 20)).\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3673704?\nAnswer: 2, 3, 153071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3 + sqrt(475) + 3)*-1.\nAnswer: -5*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*y = -4*y - 52, 3*k - 4*y = 34. What is the least common multiple of k and 102?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51957936?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 20*r**2 - 89*r - 34. List the prime factors of i(-16).\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 3*f - 30 = 0, 0*j + 3*f = 5*j + 40 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2070.6 - -2066.6. Which is the fourth biggest value? (a) 1 (b) -17 (c) 0.2 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 5*r - 60, -r + 6 = 2. What is the tens digit of 950\/k + 28\/112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 5:55 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30896316 by 1188.\nAnswer: 26007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 171974 and 852?\nAnswer: 171122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + (-38)\/(-42))\/((-48)\/84)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2504901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -72163 divided by -1?\nAnswer: 72163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (3 - 4) + 5)*(-9)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*v + 38*v = -15654. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.14375 grams to milligrams.\nAnswer: 36143.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 52*o**2 - o + 53*o**2. Let m(c) = 6*c**2. Give a(m(s)).\nAnswer: 36*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 4701?\nAnswer: 65814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - (3 - (-32)\/(-4)). Solve c = n*c + 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365844 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 549 a factor of 3110850229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - -6)*(-4)\/(-2). Suppose 2*n - 5*i - 20 - 43 = 0, 0 = 5*n - i - 100. Let a = n - y. Solve 1 = m - a for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 40 - 38)*(-6*g + g + 1 + 2*g) + (-3*g + 5*g + 0*g)*(3 + 4 + 6) to n + y*g and give n.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.7379 take away -115397?\nAnswer: 115376.2621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*g = 6, -6*s + 11 = -5*s + g. Let b = 32 + -173. Let x = -135 - b. Calculate the smallest common multiple of s and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 7*p**2 - 2. Let b(u) = u. Let y(h) = 5*b(h) - x(h). Let n(o) = -o + o - o + 0. Give y(n(r)).\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 961710?\nAnswer: 2, 3, 5, 32057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.75, 1\/4, 1, 4, 1.2, -3 in increasing order.\nAnswer: -3, -1.75, 1\/4, 1, 1.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45011?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 65623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -243137751170849 - -0.4?\nAnswer: -243137751170848.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/4 of a meter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 219957 from -1988.86933.\nAnswer: -221945.86933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11058, -11062, -11066, -11070, -11074, -11078?\nAnswer: -11082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 7) to base 5\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 7) in base 11?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 6*q**2 + 4*q + 1. Determine o(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.46 - 1.64. Let u = r + 2.15. What is u rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 862.3, 3\/11, -0.5.\nAnswer: -0.5, 3\/11, 862.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -66) + 16 - (4 - (6 + 2))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (192 - 176) + (0 - 11).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 18*r**2 + 3*r + 1. Is v(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 247938, 247943, 247948, 247953, 247958?\n\"Answer: 5*q + 247933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 8 = 0, 4*k + 36 = -3*a + k. Let q = 25 + a. Solve q = t + 4*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k + 26. Suppose -12*z = -8*z + 48. Let q be j(z). Solve -q*v + 3\/2*v**2 + 1\/2 = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 199265, 398812, 598359, 797906, 997453, 1197000?\n\"Answer: 199547*b - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.048 and -120.2?\nAnswer: -5.7696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 246481883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - q = k - 94, -4*k + 358 = -2*q. Let j be 904\/112 + 1\/(-14). Suppose k = j*z - 69. Round z to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55806 - -87989. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -22*d + 23. Determine o(-5).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -797*u**4 + 2*u**5 - 995*u**2 - 461*u**4 + 6*u**2 wrt u.\nAnswer: 120*u**2 - 30192*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 + 0.087.\nAnswer: 105.087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -27*w**2 - 2*w + 10284. Let f(m) = 5*m. What is s(f(q))?\nAnswer: -675*q**2 - 10*q + 10284","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 - 43*s - 14. Let h be z(-21). Solve 6*a = -25 + h for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.698661 to the nearest integer.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -5014.664688023 and 2.\nAnswer: -5012.664688023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001402357 rounded to seven decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3*g + 2 + 1, 5*g = -5. Solve 2*r - 6*r + 4 = o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -455 + 2*h + h**2 + 4*h + 464. Let l be v(-6). Factor l*p + 12*p**3 + 9*p**2 + 4 - 1 - 9*p**3.\nAnswer: 3*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**4\/8 + 1275*r**3\/4 - 679671*r**2\/8 + 6804075*r - 26541717\/2 = 0.\nAnswer: 2, 142, 353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 605807?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1970 and 1182?\nAnswer: 5910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3549 - 662. Suppose 12*l - f = 4901. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 2*n**2 + 5*n - 6. Let r be d(3). Suppose 0 = -3*p - 3 + 6. Let q = p - 2. Which is greater: q or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 223828067?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 1756 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 13 = -1 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, f: 3, v: 5, o: 2}. Give prob of picking 1 l and 2 v.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*m**4 + 993134*m**3 + 46967482296*m**2 + 740404337047200*m + 211540262242176.\nAnswer: (m + 47292)**3*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(425)*-1 + sqrt(17))**2.\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 209\/1260 and -88\/405.\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - -29 - (0 - 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -9345650.9?\nAnswer: -9345650.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81 and 98 + -35 + (-1 + 2)*0.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 16*r - 18. Give t(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from sssshssshshs.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 309596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*m**2)*(6*m + 89*m + 227*m)*(-5*m**2 + 6*m**2 - 7*m**2).\nAnswer: 3864*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 865, 1151, 1859, 3175, 5285, 8375, 12631, 18239?\n\"Answer: 31*k**3 + 25*k**2 - 6*k + 815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 15 = -5*r, 6 = 2*r + 44*h - 43*h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-9)\/33 - (-7442)\/22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-46)\/(-11) + (-14)\/77\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 6356894.\nAnswer: 31784470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 4, -r - r = 5*f - 59. Let a = r - 22. Suppose a*h + 3868 = 3*n, -3*h = n - 558 - 736. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -4*h**4\/3 + 9544*h**3\/3 - 662236*h**2 + 40264400*h\/3 - 215161232\/3 = 0?\nAnswer: 11, 206, 2158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -101*f - 9. Let b be d(-1). Suppose -21*t + b + 328 = 0. Solve 2*g + 3*o + 0*o = 1, g - 5*o - t = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 2*v**2 - 4*v - 4. Let k be x(4). Suppose -l = -2*l + k. Calculate the remainder when (-11)\/(-3)*(7 + -1) is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 34. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 351039\/26 - 6\/4. Suppose h + r = -0*h. What is h rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10474056?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 131.\nAnswer: -4\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000406 to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 2*g = -30 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 328914 and 3.\nAnswer: 328914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzz when three letters picked without replacement from zzf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2193 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -197 + 192. Let b = -3 + 2. Let a = b - o. What is the nearest to -1 in 1\/5, a, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 12:54 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q + 4*q - q + 525.\nAnswer: -q + 525","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 12, 2 in descending order.\nAnswer: 12, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65764 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**2 - 3*c + 3. Let v be h(-2). Sort 9, v, -3\/10.\nAnswer: v, -3\/10, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1214\/57 + -7\/19. Find the common denominator of (36 + 3)*(-2)\/(-8) and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i**3 + 10*i**2 + 99*i + 14. Let y be z(-6). Calculate the highest common divisor of y and 161.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -4 + sqrt(102)\/sqrt(6) - sqrt(17)) + sqrt(68)\/(sqrt(12)\/sqrt(3)).\nAnswer: -4 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 5*a - 13. Suppose 0 = -4*s + 5*s - a. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**2\/2 - 11*t + 338. Let v(h) = -2*h - 1. Let o be v(-6). Calculate g(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2312*q + 391. Is i(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, d: 3, y: 8, p: 5, b: 1}. What is prob of picking 1 d, 1 y, and 1 p?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -6. Suppose 0 = -5*t + 2*c - z + 6, 1 = t - c. What are the prime factors of (t\/(-2))\/(2\/(-36))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiiiinii. What is prob of sequence ni?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*g + 22*g + 9*g**2)*((-2 + g + 2)*(3*g - 4*g + 3*g) + 3*g**2 - 4*g**2 + 3*g**2) in the form m*g**4 + n*g**2 + p*g + c + d*g**3 and give m.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2215459354 to the nearest integer?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 7:33 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**3 + 5*c**2 - 4*c + 2. Let g be u(2). Let m be ((-22)\/(-3))\/(g\/(-27)). Let o = m + -14. Put -1, 5, o, -2 in increasing order.\nAnswer: o, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 1)*(1 + 2 + 0)*(190*j - 396*j + 184*j)*(6*j + j + 5*j).\nAnswer: 1584*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 499 (b) -700 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, p: 9, u: 10}. What is prob of picking 1 m and 2 p?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 315\/(-225)*(-2 + 24\/14)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 10*x - 20 - 2, 5*s + x + 2*x = 76 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 5:30 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 6*g**2 + 13*g + 4. Give k(-6).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 17*m**7\/210 + 2*m**3\/3 - 37*m**2\/2 + 2*m. Let i(q) be the first derivative of u(q). Differentiate i(x) wrt x.\nAnswer: 68*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5*m**2 - 150*m + 1940. What is j(14)?\nAnswer: -1140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3\/6 - 647279*p**2\/6 - 6472901*p\/6 + 2373393\/2 = 0. Calculate p.\nAnswer: -11, 1, 647289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide (-90 - -2)*(1098\/(-24) - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1082 - 3*g - 86*g - 39*g + 1074 - 2158.\nAnswer: -128*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12 - 0)*(-28)\/8. Let y = -25 - i. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 11) to base 10.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1310*b*c**2 + 438*b*f**2 + 972502*c**2*f - 2*c*f**2 + 2*c wrt b?\nAnswer: 1310*c**2 + 438*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z + 2284 - 2284.\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6968143 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((-6)\/(-20) - 3\/(-15)). What are the prime factors of -5 - (-3 - 1351)\/(4\/c)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 27568, 55166, 82812, 110530, 138344, 166278, 194356?\n\"Answer: 4*m**3 + 27570*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20002\/(-6) + 0)\/((-5)\/30). Suppose 3*v + 0*v = -6. Let n be 1 + o*v - -3. Round n to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**7\/14 - z**6\/15 + 53*z**5\/20 - z**4\/2 + 203*z**3\/3 + 3487*z. Find the third derivative of s(n) wrt n.\nAnswer: 180*n**2 - 48*n + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265907026?\nAnswer: 2, 7, 11, 31, 73, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 - -43.00017. What is s rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((3*(1 + sqrt(1331))*-5 - (5*-1*sqrt(1331) - (-5 + (sqrt(1331) + -1 - sqrt(1331)))))*4 + 3))**2.\nAnswer: 641520*sqrt(11) + 19225449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -92 - -130. Let p = u + -35. Factor -2\/7*j**2 - 2\/7*j**p + 0 + 0*j.\nAnswer: -2*j**2*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-12) + -74*(-2)\/16. Let z(p) = -p**2 + 9*p + 3. Give z(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9, -33, -83, -165, -285, -449, -663, -933?\n\"Answer: -d**3 - 7*d**2 + 4*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 545438141 and 281.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**5\/11 - 750*d**4\/11 + 760*d**3\/11 + 3000*d**2\/11 - 3008*d\/11 = 0.\nAnswer: -376, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 1\/(-3))*-147. Let k be (-42)\/s - (-20)\/(-14). Let j(a) = a**3 + 1. Give j(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.2 take away -245?\nAnswer: 157.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 y, and 1 n when four letters picked without replacement from {n: 1, r: 10, y: 1, j: 2}?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z**2 + 3*z**2 - 6*z**2)*(-1 + 1 - 2)*(1 - 3 + 1).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72 + (0 - 46 - (742 + -753))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3973 + -1191?\nAnswer: -4b44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -414*p - 54 - 1679 = 751 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -9*j**3 + 9*j**2 - 9*j. Let u(y) = -y**2 + y. Determine -d(q) - 9*u(q).\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1293681.\nAnswer: 3, 23, 18749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 + 3941*d**2 + 39494*d + 63216.\nAnswer: -(d - 3951)*(d + 2)*(d + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 535 divide 7190935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 - 47 - ((-11 - (-1 - 1)) + (-5 - -8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(68)*-4*5.\nAnswer: -40*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -221.8.\nAnswer: -44.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 10:38 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222 - 1121021200001?\nAnswer: -1121021201000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195456\/2016 + 24*(-8)\/(-4032).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ananaauanunaa. Give prob of picking 2 n and 2 u.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13325198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1365564*y**4 - 1301005*y**2.\nAnswer: 32773536*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.01 - 0.19. Let i = -0.75 - -0.84. Let q = -0.8 - 1.2. What is the smallest value in i, q, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13\/204 + -551\/2244. Let x = 1 + -4. Which is the nearest to 1\/4? (a) x (b) p (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -6. Let s = -1 + b. Solve j + 5*v + s = 2, -j + 3*v = 7 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + (2 - (2 - 2)). Suppose s = -n + 2*n - 14. Let a(r) = 3*r + n*r - 8 - 3*r. Let i(k) = 9*k - 5. Determine 5*a(j) - 8*i(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*k = -2008236, -3*i - k + 1047116 = -459053. Suppose 2*o - i = 357943. What is o rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*i - 5*i + 2*i)*(3 - 7 + 3)*(-12 - 6 + 6).\nAnswer: -144*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 8:57 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.1, -3\/5, -5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.2745134 weeks?\nAnswer: 166025704.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/98)\/((-123)\/(-861)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - v + 13 = 0, 0 = -3*g + 4*v - 247 + 220 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1*18\/28)\/(18\/42)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 4*h**2 + 17. Let u(c) be the second derivative of -1\/3*c**4 + 0*c**3 + 0 + 0*c**2 + 3*c. Give u(t(r)).\nAnswer: -256*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/15*50\/20?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 31752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2194307?\nAnswer: 73, 30059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -23. Let h be 2\/4*(o + 1 - -8). Is 3 a factor of (250\/15 - 4)*6\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-9) + 0)*6. Let t(s) = -4*s**3 + 3*s**3 - 9 + 5 - 3*s**2. Does 10 divide t(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*j + 653 - 1667 = 0. Solve 21*b + 5 = j*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*t = -52236 + 51599 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 501 + -33. Calculate the remainder when k is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 0.8. Let d = -6 + 2. What is the nearest to 0.2 in v, -2\/19, d?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 2*l = -105. Find the third derivative of 6*a - 7*a**4 + a**2 + l*a**2 - 6*a wrt a.\nAnswer: -168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttlttl. What is prob of sequence llt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 divided by -4?\nAnswer: -181\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/2093 (b) -0.47 (c) 0.04 (d) -0.3 (e) -51\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7722 or 7760?\nAnswer: 7722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 316*u - 126. Let y(c) = -2*c + 7. Give 2*x(b) + 36*y(b).\nAnswer: 560*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1427485193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 4, -2, 8 in descending order.\nAnswer: 11, 8, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1473*j**2 + 354*j**2 - 734*j**2 to the form a*j**2 + w + m*j and give a.\nAnswer: -1853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from fkkppggfpfyfffh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/9 or -16?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4025583843 to the nearest integer?\nAnswer: 63447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 times 0.03?\nAnswer: 7.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 19 = 41. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus -2008?\nAnswer: -2009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 1. Suppose -h*f + 117 - 9 = 0. Suppose f = 2*a - a. Is a a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 j when two letters picked without replacement from {i: 2, j: 1, k: 2, o: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1077858862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 352 - 1918 = 0. Let p = b + 267. Calculate the lowest common multiple of p and 104.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 7*t**2 + 5*t - 1. Let s be (2\/4)\/((-2)\/24). What is q(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04 - -0.46. Let q = -0.8 + 1. Let t(z) = -z**2 + 9*z + 5. Let y be t(9). What is the closest to -2\/3 in q, d, y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 49\/23412?\nAnswer: 49\/23412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 4*b**2 - 6*b. Let o be r(2). Let v(t) = 81*t - 9. Let n(z) = -20*z + 2. What is o*v(w) - 18*n(w)?\nAnswer: 36*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**3 - 33*b**2 + 35*b + 308. Calculate z(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(8\/5))**(11\/4))**(1\/30))**(-39) assuming c is positive.\nAnswer: c**(-143\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -3, 409 in ascending order.\nAnswer: -3, 1, 5, 409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 i when four letters picked without replacement from {a: 5, l: 8, i: 4}.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*c + 2. Let i(x) = 2*x - 25*x**2 - 13*x**2 + 1 - 1 + 137*x**2. Is i(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 17*m + 17. Let z be a(5). Let f = z + -31. What are the prime factors of f?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3450*a**2 + 185*a**5 + 3450*a**2)*(-1 + 0 + 3).\nAnswer: 370*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2225362 is divided by 741674?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + 2)**2 + sqrt(11) - 3*(sqrt(176))**2.\nAnswer: 15 + 29*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of p**2\/2 - p - 1. Suppose -13 = -o + 2*n, -7 = o + 5*n - 2*n. Let m(u) = u**2 + 8*u - 8. Give o*m(c) - 40*z(c).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2*1)\/(6\/51). Suppose -5*q + p = 7. Sort -1, q, 3 in decreasing order.\nAnswer: 3, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3 = 0, 3*k - 3*b = -4*b + 16. Suppose -k*c + 4*c + 155 = -5*v, 15 = 3*c. Let t = -4 - v. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.208418km in millimeters?\nAnswer: 5208418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185401?\nAnswer: 185401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 8*b**3 - 2*b - 1. Let o be f(-1). Let g(k) = k**2 + 7*k + 5. Let d be g(o). Suppose 13 = d*n - 82. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - 4*o + 2. Let d = -63 - -117. What is the remainder when d is divided by s(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18077674, 36155353, 54233032, 72310711?\nAnswer: 90388390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 48\/3 - (9 - 5). Suppose -b = -5*k + k. Solve m + 1 - k = 5*r, -4*m + 8 = -2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 465732?\nAnswer: -465737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1902713 a multiple of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*h + 16459 = 473175. What is the thousands digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 38 = 4*o, -4*h - 4*o - o = 1. Solve 20 = -y + h*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 153, 804, 1873, 3354, 5241?\n\"Answer: -p**3 + 215*p**2 + 13*p - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -0.356?\nAnswer: 0.178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/((-2*sqrt(11) - sqrt(11)) + sqrt(11)))\/sqrt(5).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20*((-7)\/(-119) - 149014\/(-136)) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.099 or 1\/198?\nAnswer: 0.099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y. Let i(t) = 6946*t**2 - t - 2. Determine u(i(z)).\nAnswer: -13892*z**2 + 2*z + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(54\/6)*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 42096285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a + -81?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-5\/6))\/i*i)\/(i**7\/i)*(i*i**(-7)\/i)**28 assuming i is positive.\nAnswer: i**(-1211\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**3 + 74*c**2 - 15*c + 18. List the prime factors of z(36).\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 20*d + 25. Suppose 2*c + 0 = -2*x + 16, 0 = 4*x - 4*c + 8. Let q(k) = k + 1. What is x*a(o) - 75*q(o)?\nAnswer: -15*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*g**3 - 11*g**3 + 2*g**3 + (1 - 4 + 2)*(g**3 + g**2 - g**2) + 0*g + 4*g**3 + 0*g + (2*g + 2*g - 2*g)*(g - g + 2*g**2).\nAnswer: -15*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, 3, -1 in increasing order.\nAnswer: -40, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98*1640\/707168*(-1)\/(10*1).\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -28*x**3 + 766*x**2 - 269*x - 32. Calculate u(27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 237, 1, -1, -9 in ascending order.\nAnswer: -9, -1, 1, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2 + 33*k)*(1 - 2 + 2).\nAnswer: 33*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) + (2*sqrt(1000) - sqrt(40)) - (sqrt(40)*1*-6 + sqrt(40)))\/(((sqrt(72) - sqrt(72)*2)*4 - sqrt(72))\/((2*sqrt(90) + sqrt(90))\/sqrt(10))).\nAnswer: -9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11071949*z**3 - 1 - 11071947*z**3 + 1.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147 and 111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 + k. Let i(s) = -241*s**2 + 2*s. Give -i(x) + 2*v(x).\nAnswer: 245*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132 (base 4) to base 16.\nAnswer: 1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a + a + 4*a + (-2 + 2 + 1)*(0*a - 4*a + 6*a) - 6*a + 3*a - a + (-3 + 3 - a)*(-4 - 2 + 4) - 3 + a + 3 - 4 + 2*a + 4.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -5. Suppose j = -3*z + z - 4. Which is the second smallest value? (a) 0.4 (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-6))\/(3\/36). Let x(c) = 81 - 81 - i*c. Let z(m) = 2*m**2. Determine z(x(y)).\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - -1. Let a be (-1)\/(-2)*12\/z. Which is smaller: 2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -41280 and 937.34019.\nAnswer: -40342.65981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/27 and 88\/504435.\nAnswer: 4539915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3*1)\/(3\/(-8)). Let d(x) = 2*x**2 + x + 4. Let l(f) = -5*f**2 - 4*f - 11. Let c(a) = i*d(a) + 3*l(a). Suppose 22 = 20*b + 8*b - 34. Give c(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -13922, -18 in descending order.\nAnswer: -2, -18, -13922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1*-16)\/((-3)\/(-3)). What is the least common multiple of 27 and (91\/(-14))\/13*v?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10182177?\nAnswer: 3, 1131353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a factor of 11220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238 divided by 35.\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -47086, -47086, -47080, -47068, -47050?\n\"Answer: 3*g**2 - 9*g - 47080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3162 and 816.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 2, -15, -50, -109?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 2*x - 157 + 110, -5*x = 11*b - 2*x - 83 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1677, -3351, -4953, -6417, -7677, -8667, -9321?\nAnswer: -9573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a micrometer in nanometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 226034402 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63359, -62991, -62379, -61523?\nAnswer: -60423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*88\/(-8613) + 36\/162?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -14. Let w be (-4 + 3 + s)*-1. Let t be (-26)\/(-8) - (-1)\/(-4). Solve t*j - 1 = 5*o, -w - 4 = -3*o - j for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*l + 3*l - l)*(-6 + 2 + 2) + 17*l - 6*l - 8*l)*(-3*l**2 + 2*l**2 - l**2)*(-2 + 4 - 1) in the form n + t*l**2 + i*l + f*l**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 34 = f, -20 = 5*a - 0. Let l = -43 - f. Is l > 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 10.17\nAnswer: -10.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -107 + (37 - -139) + -65\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h**2 + 5*h - 16. Let s(w) = -7*w**2 + 6*w - 17. Let f(r) = -6*n(r) + 5*s(r). What is the remainder when 21 is divided by f(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 9*s**2 - 13*s + 1. Calculate f(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17233\/3 - -5744. Which is the second smallest value? (a) 1 (b) h (c) 3 (d) -1 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2511179?\nAnswer: 11, 167, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452 is divided by 150?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and -69.2?\nAnswer: 69.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-390 - 221*v**2 + 390)*(2*v + 4 - 2*v**3 - 4).\nAnswer: 442*v**5 - 442*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (326*u - 2 + 1119*u + 341*u)*(-3 + 4 + 4).\nAnswer: 8930*u - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 434 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44627.22 meters to millimeters.\nAnswer: 44627220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x + 20*x - 72 = 0. Is (-4)\/x + (-60106)\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - c + 12 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1343 and 24021?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*r - 5 = 0. Let y be r + -10 + 1\/(-1). Sort 5, y, -5.\nAnswer: y, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -197 + 205 - (0 - -7 - 1). Put c, -5, 0, 1 in ascending order.\nAnswer: -5, 0, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 16234\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 2, -2879 = 2*y - 7*y + 4*t. Suppose -5*b + y = 190. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-263 - 29)\/((-2)\/1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 22 = 5*x - 226, -3*b = x - 51. Let o = 294 - x. Is o a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n + 168 = -24*n + 44*n. Let j(u) be the third derivative of 0*u**3 + 0 + 1\/2*u**n + 0*u - 8*u**2. Let o(c) = -3*c. What is j(o(g))?\nAnswer: -36*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**5 + 34*s**4 + 11*s**3 - 18*s**2 - 27*s - 16. Let j(m) = -m**5 - 23*m**4 - 7*m**3 + 12*m**2 + 18*m + 11. Let a(i) = 7*j(i) + 5*q(i). Factor a(n).\nAnswer: 3*(n - 1)*(n + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7072 - -6979.33. What is o rounded to 0 dps?\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/10*(-120)\/(-48).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1073 and 481?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 263? (a) 2 (b) 3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 8*j. Let v be (-6)\/4*(4\/6 + -2). Let p(x) = 8*x - x + x**2 - 4*x - v*x. What is -8*p(w) + t(w)?\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -2*m**2 + 9139. Let u(t) = 43*t**2 - 2. Determine k(u(w)).\nAnswer: -172*w**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 - -58. Solve -y - q = 4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 14*t + 1. Give p(3).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, s: 1, v: 3, b: 1, h: 1, l: 3}. What is prob of picking 1 c and 1 v?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 10 = -3*p, -5*p - 4*j = -p - 8. Suppose 0 = -3*n - p*n + 21. What is the smallest common multiple of n and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -938\nAnswer: -935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -262*f - 4313. Give x(-18).\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -99 + -59036?\nAnswer: -59113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2573e9 - 0?\nAnswer: -2573e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 121071 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 y when two letters picked without replacement from {y: 4, v: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -803417.652.\nAnswer: -803414.652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/504 and 47\/588.\nAnswer: 3528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(60\/9)*(-8)\/8.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 565952, 2263803, 5093548, 9055187, 14148720, 20374147, 27731468?\n\"Answer: 565947*c**2 + 10*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 234 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32664 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17120 and 12240?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20488 + -3993. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 + (-21 - -6) + 37 + -27.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 559 and 2795?\nAnswer: 2795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -304984, -304909, -304826, -304729, -304612, -304469?\nAnswer: -304294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*g + 9, 3*g = 5*k - 0*k - 9. Suppose 3*i - 169 - 116 = k. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m. Let f(l) = 9*l**2 - 4*l**2 - 2*l**2 - 4*l**2 + 3*l. Suppose 3*j - 6 = 4*j + 2*d, 29 = -3*j + 5*d. Let a be j\/12 + (-1)\/3. Give a*s(q) - f(q).\nAnswer: q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1088, 2177, 3266?\n\"Answer: 1089*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-3))\/((-7)\/(-1470)). Suppose -2*t - 5*o = -5, -4*t - o = 15 - j. Solve -t = 3*r - 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 = -13*v + 41*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 112001 (base 3) in base 8?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(468)*1)\/sqrt(9))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**3 - r**4 + r**3 - 3*r**2 + 4*r**2 + 3*r**4 as i*r**2 + m + o*r + d*r**3 + t*r**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -12*h**3 + 4*h**2 + 3*h + 6. Is 80 a factor of w(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 233 + 526. Is 28 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -2. Suppose -4*z + 55 = z. Calculate the lowest common multiple of z and m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -471.4, 2\/11, 8\/7, -0.2, 1 in decreasing order.\nAnswer: 8\/7, 1, 2\/11, -0.2, -471.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 15*a**2 - 13*a - 9. Let s be v(-10). Let x = -375 - s. Solve x - 7 = f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*((sqrt(68)*-1 + 5)**2 - (-2 + sqrt(272) + -4)).\nAnswer: -97 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*i - 53 = 0, -181 = -4*v + 5*i - 0*i. What is the remainder when v is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + 3 + -3)**2*4.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*x - 1808 = -1556 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 825 + -486. Let u = o - 339.8. Which is the biggest value? (a) -3 (b) u (c) -1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -109548 in ascending order.\nAnswer: -109548, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + l**2 - l. Let i(x) = -x**2 + x. Determine f(b) + 5*i(b).\nAnswer: b**3 - 4*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-9))**47\/(((n\/n**(-1\/24))\/n)\/(n\/n**(2\/7))))**18 assuming n is positive.\nAnswer: n**(-212853\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -396 + 107 - 397 - 187 - 13*q wrt q?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 20447 - 20448. What is the third biggest value in -0.1, -2022, u?\nAnswer: -2022","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 278 and 2?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -68, 0, -5 in ascending order.\nAnswer: -68, -5, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n - 9*n + 28756*n**2 - 27656*n**2 + 6*n.\nAnswer: 1100*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 129492573?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-4) + 1755\/(-260) + 52. Calculate the highest common factor of 15893 and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -3\/2, -3, 5, -24465, 1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 7*p - 3*p)*(0 + 4 - 1)*(2*p**2 + p**2 - p**2).\nAnswer: 36*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 1031 - 62 = 5*a, 660 = -3*a - 3*s. Let c = 225 + a. Let n(t) = -t + 1. Give n(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4 = 2*w + 2*w, -1 = w - 5*u. Let f be (-7 - 2101\/(-297))*-3. Sort f, 2\/9, 21, w.\nAnswer: w, f, 2\/9, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1991 + 1975. Let p = -13 - 2. Is p at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 8*l - 148. Determine h(16).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 + 82*x**5 - 84*x**5 - x**4 - 5*x**2 + 5*x**2 - x**5 + (-3 + 1 + 4)*(-3*x**5 + 6*x**5 - 2*x**5) - 2*x**5 + 1 - 1.\nAnswer: -3*x**5 + x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -43463 (base 15) in base 16?\nAnswer: -34272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 5*q - 12, 0 = -0*z - 4*z + 16. Suppose 36 = 3*x + 4*h, -3*x + q*x + 39 = 5*h. Is (-570)\/(-2) - (-16)\/x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 686.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-21))\/(3\/21). Let t be (s\/4)\/(2\/(-16)). Let m(w) be the first derivative of -w**3\/3 - 3*w**2 - 6*w + 2. Calculate m(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66759731 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 4*j. Let c be d(-3). Suppose 4*u - 184 = 3*n, -c*n = 2*u + 2*n - 118. Let q be (3\/3)\/(-1)*-7. What is the highest common divisor of q and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fhffhfhhfff. Give prob of sequence hhhf.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2146027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5916)\/(-170) + (-2)\/(-10). Let h be 4\/8*12*3. Let d = c - h. Calculate the remainder when 26 is divided by d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 21*v**2 + 103*v + 186. What is y(28)?\nAnswer: -2418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 88*35\/((-24500)\/(-75)). Determine h so that 6\/7*h**2 + 0 - t*h = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*(4\/(-14) - 72544\/112). Let o = 1321 + x. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11206.03 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 15210041?\nAnswer: -15210043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**3 + 3*q**3 + 2*q**3)*(2*q - 2*q - 3*q) - 5*q**3 - 2*q**4 + 5*q**3 - 13 - 123*q**3 - q**4 - q - 22 + 120*q**3.\nAnswer: -9*q**4 - 3*q**3 - q - 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**4\/30 + s**3\/15 + 43*s. Solve r(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-5*(3 + sqrt(288)*1 - (-1 + sqrt(288) + 1)))**2.\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 76*v. Let k(s) = 21308*s. What is k(i(m))?\nAnswer: 1619408*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -12*i + 2. Let r(u) = 11*u - 2. Let t(f) = 5*r(f) + 4*y(f). Give t(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.500458 - 6.499549. Let o = p + 13. Round o to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2084 + -22922\/11. Which is greater: 24\/19 or c?\nAnswer: 24\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124*c**2 + c - 64*c**2 - c**3 + 765*c**4 - 59*c**2 - 303*c**4 to the form u*c**3 + o + n*c**4 + w*c + i*c**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 242277\/16595 + 2\/3319. Let c = 15 - q. Solve 7\/5*p**2 - 9\/5*p + c = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 8*i - 5. Let r(s) = -s + 1. Let o(q) = k(q) + 5*r(q). Let l(y) = -3*y**2. What is o(l(p))?\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 465411059 and 139.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3192719.3 and 0.4?\nAnswer: 1277087.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*a**2*k*p - 5*a**2*t - 2*a**2 + 7*a*k - 2*k*p*t + k*t - 2*p*t wrt k?\nAnswer: 3*a**2*p + 7*a - 2*p*t + t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -96 + ((-128 - -123) + (-2 - 7) - (3 - 6))?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 18. Let m be s(7). What is the third biggest value in -3\/7, 1\/2, m?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 16*o**2 + 13 - 12*o + 9*o**2 - o**3 - 2*o - 35*o**2. Let p(m) = -2*m - 9. Let r be p(0). Is c(r) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.6 (b) -5 (c) -5\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -8. Suppose 2*o - x*o - 8 = 0. Let w(z) = 4*z**2 + 3*z - 3. Let b(t) = t**2 + t - 1. Give o*w(a) + 6*b(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9390553041\/13594273 - 1\/2471686. Let d = g - 694. What is the common denominator of d and 4214\/800 - 10\/125?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*(sqrt(1331)*2 + 1 + -2 + -4*-2*(sqrt(1331) + -1) + -1).\nAnswer: -220*sqrt(11) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3816 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*u + 3*n, 3*u - 9*n = -7*n - 7 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 g when four letters picked without replacement from {j: 1, a: 2, g: 2, f: 4, b: 1, t: 2}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 330141?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89535 is divided by 973.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47\/27 + 11\/27. Sort y, -2, -4, 1 in descending order.\nAnswer: 1, y, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*p - p + 2 - 5 - p wrt p?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(684) - sqrt(684)) + -4 - -4*sqrt(684)*1) + 4 - (sqrt(38)\/(sqrt(14)\/sqrt(112)) - (sqrt(2299) + sqrt(2299) + -1)*5))**2.\nAnswer: -1300*sqrt(19) + 321125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4296421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 331.5447 months?\nAnswer: 27.628725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 116\/(-59) + 2 - (-50150)\/(-41772)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 905167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 greater than -296.222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0437 + 0.1437. Let n = 0.05 - -0.15. What is the closest to 2 in y, -1\/4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 9, 0.09, 98, 4 in descending order.\nAnswer: 98, 9, 4, 0.09, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -203724, -407364, -611004?\nAnswer: -814644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010000000 (base 3) to base 7.\nAnswer: 120522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4910 + 4902 + 102*u + 4861 - 14671.\nAnswer: 102*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -17261*c - 51798. Calculate i(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15 - 16)*(-46)\/2. Suppose 5 + u = -s. Let a = -24 - s. Solve g = a*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -o - 5*w - 22, -2*o = -5*w + 42. Let p be (4 + -1)\/1 + 16\/o. Solve 7*a + 16 = -4*b + p*a, 5*b + 2*a + 20 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43 and 903?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -102*o + 17. Is v(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-8) - (-46)\/8. Suppose 8 + 12*c + 4*c**3 - 2*c**3 + t*c**2 - c**3 = 0. Calculate c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = k - 13, 2*q + 53 - 52 = k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2145787 * -55\nAnswer: -118018285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i**3\/6 - 9*i**2\/2 + i. Let t be a(-11). Suppose -30 = -0*u - t*u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 8:26 PM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2970437 to the power of 1\/3, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1638389354.\nAnswer: 2, 7, 43, 2721577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-4))\/(3 + 0). Let g(w) be the first derivative of 3 + k*w**2 - 2\/3*w**3 + 0*w. What is the second derivative of g(y) wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.65901 + 0.1.\nAnswer: -19.55901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ay when two letters picked without replacement from {s: 1, y: 5, a: 1, f: 12}?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 231 + -123. Determine w, given that -g*w**3 - 20*w + 79*w**3 + 49*w**3 - 5 + 5*w**2 = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -458 = 28*l - 710 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.056 and 101595?\nAnswer: 5689.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 10*k = -12*k - 77, -121 = -5*z - 4*k. What is the remainder when 1249 is divided by z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5*l**3 + 2*l**2 - 1638*l + 3. Let i(f) = 2*f**3 + f**2 + 1. What is -c(a) + 3*i(a)?\nAnswer: a**3 + a**2 + 1638*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4381476 or -4381474?\nAnswer: -4381474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 13*k. Suppose -m - 5 = -5*v + 23, 2*m + 1 = -v. Calculate the remainder when y(2) is divided by m\/(-15)*5 + 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -95.\nAnswer: -95, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 3 - 13. Suppose -c + 14 = 3*u, 2*c - d*u - 35 = c. Does 20 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 26\/30 + (-1)\/5. Which is the closest to l? (a) -3 (b) 1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 930864 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 1:30 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w - w - 60 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y - m = 15*y - 1302, 1736 = 4*y - m. Calculate the greatest common factor of 14 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/96*6\/((-6)\/6)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2088717 is divided by 360.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n + 309. Let i be g(-43). Solve -2*s + 3 = -h, 2*s + 0*h = -4*h + i for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {b: 1, u: 5, y: 5, i: 9}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.84 - -14. Let f = h + 4.84. Let t be (41 - 36)*(18\/(-15))\/(-3). What is the nearest to t in -0.2, f, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*((-518)\/42 + 13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a factor of 95760304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 540442454?\nAnswer: 540442456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaouauaeaoua. Give prob of sequence eauo.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -16*s + 30. Let c(u) = u - 3. What is -8*c(n) - f(n)?\nAnswer: 8*n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.434 - -0.134. Let q = 0.1304 + -0.2304. Put o, 5, q, -17 in descending order.\nAnswer: 5, q, o, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -19 - ((-9 - -2) + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/(-12) + 2)*-8. List the prime factors of (-3)\/((-3)\/u - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 485*l + 816*l - 330*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40415 by -1.\nAnswer: -40415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**1)\/y)**(-13)\/(y**(1\/2)\/y**(-2\/9)) assuming y is positive.\nAnswer: y**(-247\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 minus 0.03883378312?\nAnswer: -1.53883378312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - 0.1. Let y = -0.1 + w. Let j = -237 - -237.2. Which is the second biggest value? (a) y (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5887105202.\nAnswer: 2, 11, 17, 1430993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-4)\/o*((o**8*o)\/o*o)\/o)**40 assuming o is positive.\nAnswer: o**120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 0.13562 (c) 2 (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3542591?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -3*a - 4, -2*a - 12 = -a - 3*c. Suppose 0*v + i = -2*v + 53, a = -3*i - 3. Calculate the least common multiple of v and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119 and 98007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 101*s**4 - 473 wrt s.\nAnswer: 404*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/8))**(-2\/27) assuming i is positive.\nAnswer: i**(1\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -61*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -78 + 0 + (45 + -24 - 9) + 8 + -19\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + -10 + 3 + -12 + 3 + 8. Let w(q) = -2*q + 11 - 7*q**2 - q**2 - 6 - 3. Let a(c) = 105*c**2 + 27*c - 27. Determine j*a(d) - 54*w(d).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.187067 + 11278452.\nAnswer: 11278452.187067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4992 and 11622?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*h - 5424, 0 = 4*m - h - 2*h - 4353. Suppose 1079*t + 5796 = m*t. Is 46 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s - 2. Let b be g(-1). Solve 2*n = -b*c - 2, -4*c - 2 - 2 = 4*n for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 72635.9 days?\nAnswer: 104595696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**3 - 9*m**2 + 3*m + 6. Let d = 18 - 12. Let p be z(d). Suppose 0 = -3*v + 5*k + p, k = v - 2*k - 48. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7*s + 95. What is u(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 7:49 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 2*j**2 - 2*j)*(2*j + j - j) + (2*j**3 - 2*j**3 + 4*j**3)*(3 + 1 - 1).\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1241389?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 take away -6164797.019?\nAnswer: 6164804.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b*b**(-5\/3)\/b*b*b)\/(b*((b*b*b**1*b*b)\/b)\/b))\/(b**(-3\/8)*b**3\/b*b)*b**(-2\/19)*b**(-5)*b**(-1\/2)\/b**(-1\/5) assuming b is positive.\nAnswer: b**(-22109\/2280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*l**5 + 9*l**3 - 9*l**3 + (3 + 0 - 2)*(0*l**5 + l**5 + 0*l**5) - 4*l**4 - l + l - l**5.\nAnswer: 7*l**5 - 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-75)\/(-27) + 4\/18. Suppose -184 = -q*w - 28. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b**2. Let s(c) be the first derivative of c**2\/2 - 12. What is p(s(j))?\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -36, -123, -258, -435, -648, -891?\n\"Answer: s**3 - 30*s**2 - 4*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 9*s = 6*s + 27, -s - 11 = -x. Suppose -3*d = d - x, 5*i - 503 = -d. What is the highest common divisor of 40 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 558389941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -34*i**2 + i + 31. Let r(x) = -11*x**2 + x + 10. Let c(m) = 2*o(m) - 7*r(m). Is 12 a factor of c(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 + -1)*(-10)\/25. Let l(p) = -7*p**3 - 15*p**2 + 15*p**o + 1. Give l(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6198*k**2*p**3*y + 9*k**2*p**2 + 14291*k*p**3*y + k*p**2 + 262*k - 15*p**3 + 221*p**2 wrt y?\nAnswer: 6198*k**2*p**3 + 14291*k*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -1231672.\nAnswer: 3\/1231672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 14.38 - 140.46095269\nAnswer: -126.08095269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -256267 (base 13) to base 6\nAnswer: -31134004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -42443644 divided by 39\nAnswer: -42443644\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47609?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1353538 + 1353538 + 56*o.\nAnswer: 56*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2)**38 assuming j is positive.\nAnswer: j**76","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1512.9 to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h - h + 4*h + (-2 + 2 + 2)*(-44 - 15*h + 44))*(-9 + 9 - 9*h - 1) as t*h**2 + m*h + u and give m.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 525 = 171*y + 171 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 104 - 223. Let c = -75 - m. Suppose b + b = c. Calculate the remainder when b is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 659892132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3. Let f(t) = -10*t**3 + 206*t. Give f(w) + 6*o(w).\nAnswer: 2*w**3 + 206*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -176902.0816 rounded to the nearest ten thousand?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 138987113 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 1. Let l be z(0). Suppose 17 = -4*w + l, -2*s - 5*w - 10 = 0. Solve -s*h + h = 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*q = -17, -4*v = v - 4*q - 22. Let n(s) = 3 + 0*s + 12*s**2 + 5 + s - 4*s. What is the units digit of n(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*k - 31*k + 18*k + 700. Solve -199*p + 195*p - k = 0 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 39 + 24. Let q(r) = 4*r**2 + 2*r - 12*r - 4 - 7. Is q(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134155 is divided by 1738.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*z - 405*z - 8534 = 0 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -8 - (46 + -21)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5*f = -3*f + 978, 0 = 3*d - 3*f - 726. Suppose 0 = 2*k + 197 - d. Solve -4*h + 9*h = -k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92.4 + -92.8. What is the third biggest value in -3\/4, -16, v, 2\/7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + 40\/(-19))\/(-2). Let f be (-6)\/12*3*(-12)\/27. Put -4\/5, p, f in descending order.\nAnswer: f, p, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -4 + -10 - (3 + 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 3 + 10. Suppose 0*h + h - 15 = 0. Let i = v + h. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2168847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*l**3*s**2*t + 2*l**3 + 143*l*s**2 - 6*s*t wrt t.\nAnswer: -4*l**3*s**2 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132) + sqrt(132) + sqrt(132)*-2)*2)\/((1*sqrt(12))\/sqrt(3)))\/(-2*-4*2*sqrt(539)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -9 - (2 + -4)) + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdpweqt. What is prob of sequence dw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(140)*-1 + sqrt(140)*2*-6)\/(sqrt(10)\/sqrt(2)*-1*-3))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 520331.6 kilograms in micrograms?\nAnswer: 520331600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + (-21)\/(-9))\/(1\/27). Solve 3 = 3*y + i for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 343773 (base 10) to base 9\nAnswer: 573510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + (sqrt(176) - (1 + sqrt(176)))*2 + -2 + -2*(sqrt(891) + 0) + sqrt(891) + -5)*-4*-3)**2.\nAnswer: 12960*sqrt(11) + 51264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*w**4 - 7*w**3 - 1186*w**2 - 309597 with respect to w.\nAnswer: -8*w**3 - 21*w**2 - 2372*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6658 less than -3792?\nAnswer: -3792.6658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 w, and 1 l when four letters picked without replacement from owaoowloolooaloo?\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u**2 - 4*u + 10. Let m(s) = -3*s**2 - 4*s + 9. Let q(l) = -2*i(l) + 3*m(l). Let d be q(-5). Solve d*z - 4*r - 4 = 3*z, -3*z + 5*r = -5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -204 - 218 + 0*i - 115 + i as m*i + o and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21102121222 (base 3) to base 10.\nAnswer: -146258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 5:49 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-1\/9)\/a)\/a**30*a**11\/a*a**(16\/3) assuming a is positive.\nAnswer: a**(-124\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - -1*(5 + -4). Suppose d + 3 = y*u - 28, -25 = -u + 4*d. What is the smallest common multiple of 28 and u?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179, 165, -5, -409, -1125, -2231?\nAnswer: -3805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 5*k + 3. Let j be w(5). Suppose -j + 7 = 2*s. Suppose -2*m + 2*i - 4*i = -56, 0 = m - s*i - 37. What are the prime factors of m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 5:32 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 9 + (-56 - -51).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*k + 186 + 175 - 127 = -36*k for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-33)*g*g**(-21))\/((g**(1\/2)\/g)\/g**30))**(-9\/4) assuming g is positive.\nAnswer: g**(387\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 116870?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -61 + 65?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 453 (base 13) to base 5.\nAnswer: 10434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*x = -x + 6, -4*x - 12 = -5*a. Let q be -2275547 - (3 + -1 - a). Let m = -4165549 - q. What is m rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1130, -1, -5, -3, 4 in ascending order.\nAnswer: -5, -3, -1, 4, 1130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g\/((g\/(g\/(g*g**(-31))))\/g))*g**(-4) assuming g is positive.\nAnswer: g**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 88 - 100 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 627 + -3?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of a**8\/672 - a**7\/105 + a**6\/40 - a**5\/30 + a**4\/48 + 9*a**2. Factor l(t).\nAnswer: t*(t - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 141 and 8460.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/9 or -241691?\nAnswer: -241691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.33 + -0.73. Suppose 7*l + 4*g = 2*l + 26, -4*l - 4*g = -24. Which is the closest to -2? (a) l (b) z (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/455 and 19\/3205995.\nAnswer: 22441965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(117) + 2) + sqrt(117))**2 + (-1*sqrt(117) + sqrt(117))*6)*4 + -1.\nAnswer: 2016*sqrt(13) + 23507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.4, 102173, -0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1900) - -1*sqrt(1900)*3 - (5 + -1*sqrt(1900)))*-3*-2 + -3)**2 + 1.\nAnswer: -441000*sqrt(19) + 42771610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 246*f**3 - 103*f**3 + 49*f**4 - 1740 + 178 - 143*f**3 wrt f.\nAnswer: 196*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + 98*k + 2394. Calculate b(-43).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, u: 7, v: 7, h: 2}. What is prob of sequence uvu?\nAnswer: 49\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3.1, 2\/9, -0.329?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/8, 6.58, -5\/4, -1\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 7.7, -54, 126?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 12ad43?\nAnswer: -12ad47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from gzaagazabgabbzgag.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (10 - -29) + (-1)\/(-1). Let p = a - 41. Let g be (-2)\/(-6) - (-2)\/3. Which is bigger: p or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 506*g**2 - 506*g**2 + 6*g**3 + 3*g + 6 - 3 as m*g + t*g**2 + a*g**3 + r and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1160502?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2775 or 287?\nAnswer: 2775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -84*p - 2. Let h be b(-6). Let n = -340 + h. Suppose 6*r - 3*r - n = 0. Calculate the remainder when r is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 t when four letters picked without replacement from ojotootjj?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*u**4 + 5249*u**2 - 215*u + 43.\nAnswer: 36*u**2 + 10498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6182, 396, -2\/3, -3\/4?\nAnswer: -6182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(6\/(-4)) - -2. Suppose p*f - 35 = -u, -u + 3*f + 15 = u. Let c = 3 - 0. What is the greatest common factor of c and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**3*h*y**2 - d**3*h*y + 70*d**3*y**3 - 22*d**2*h*y**2 - 4*d*h*y**3 + d*h wrt d?\nAnswer: -6*h*y**2 - 6*h*y + 420*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27272906?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*u + 30, -j + 3*j + 2*u = -2. What is the second biggest value in j, 1\/2, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**2 - 483231*l + 483231*l.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + m + 16 = 0, 28 = -0*c + 2*c + 2*m. Solve -i - 2*i = -c for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4914, 9866, 14804, 19722, 24614, 29474?\nAnswer: 34296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(6534))\/(2*sqrt(1728) - sqrt(1728)).\nAnswer: 11*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f = -k - 5*f - 4, 4*f = -6*k + 20 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x - 27 = -128 + 47. Let g(o) = 7*o - 30. What is g(x)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 5*g - 2*g**2 + 2*g**3 - 9 + 7*g - 2 in the form j + v*g**2 + z*g + w*g**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37392.\nAnswer: 2, 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-3) + (-2)\/6. Suppose -36 = -s*r - r. What is the remainder when 17 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -4. Let z be a - 3*3\/9. Let w(q) = 6*q**3 + 2*q**2 + 11*q - 13. Let u(i) = -3*i**3 - i**2 - 6*i + 7. Let g(h) = 11*u(h) + 6*w(h). What is g(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/84 and -23\/279.\nAnswer: 7812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 x when two letters picked without replacement from {x: 6, q: 12}.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 - -32. Let l = 20.3 + k. Sort -0.5, l, 1\/7 in increasing order.\nAnswer: -0.5, 1\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 1 (c) 117.0957\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 558*f**5 - 26177*f**3 + 110*f**2 - 5849?\nAnswer: 33480*f**2 - 157062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/6)\/((-140)\/4032*16)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**3 + 2*z**2 - 6*z + 6. Let r be h(3). Let j be -2 - ((-28)\/(-154) - r\/(-22)). Suppose -3*u = 2*u. Solve j = s - u*s - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (32 + -33 + (14 - 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 85, 88, 91?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 6*t**2 + 88*t + 131. Determine q(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 - 2. Let o(m) be the second derivative of 197*m + 0*m**2 + 0 - 1\/6*m**3. Give -2*o(h) + u(h).\nAnswer: 3*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314*a - 218*a + 333*a + 308*a.\nAnswer: 737*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**3 - 3*f**2 + 7*f - 24. Let d be i(6). What is the third derivative of 6*t**5 - 241*t**2 - d*t**6 - 6*t**5 + 291*t**6 wrt t?\nAnswer: -6120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.11 + 0.39. Let z = -1 - -3. Which is the closest to 2? (a) z (b) -0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4181027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 0) + -2 + 2. Let y be 1 + (-2)\/p + 0. Find the third derivative of w**5 - y*w**2 + 0*w**2 + w**2 wrt w.\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 719*i**3 - 125551 + 5*i**2 - 718*i**3 + 125594 + i. Determine o(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (14 - 792\/55)*(-5)\/13. Put l, 0.3, 70, -0.3 in decreasing order.\nAnswer: 70, 0.3, l, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1143708, -1143709, -1143710, -1143711?\nAnswer: -1143712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25995901279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 438013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/21 - (-60)\/14. Let p = 0.13 + -0.03. Which is the second biggest value? (a) p (b) -0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84368.7 months to millennia.\nAnswer: 7.030725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - u + 15 = 4*u, -5*u = -4*a - 15. Factor -2\/3*d + 0*d**2 + 0*d**4 - 2\/3*d**5 + a + 4\/3*d**3.\nAnswer: -2*d*(d - 1)**2*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 3*t**2 - 2*t - 7. Calculate f(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49 - 18 - 35) + (11 - 3) - 22.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 387 at least -477?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*p + 497 = -60, s - 2*p - 274 = 0. Let r = s - 232. Calculate the smallest common multiple of 4 and r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-105))\/(8\/(-20)*-1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 37625 = -31*q + 26*q, -2*q + 3*u + 15060 = 0. What are the prime factors of q?\nAnswer: 3, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 4*z**2 + 2*z**2)*(-25*z + 38*z - 125*z) - 6*z**3 + 2*z**3 + 3*z**3.\nAnswer: -449*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -94, -61, -26?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 532 is divided by 26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -163, -435, -707, -979, -1251, -1523?\nAnswer: -1795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -436988.182 rounded to the nearest one thousand?\nAnswer: -437000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4766926 and 1484.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 507*l - 55. Is q(18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 10, 0.3, -0.03, 4, 82389?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3353.7 plus -0.009?\nAnswer: -3353.709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -9*x + 64. Let r = 40 + -32. Let h be s(r). Let p(l) = -2*l**3 - 13*l**2 - 12*l - 31. What is the units digit of p(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, n: 2, p: 4, i: 3}. What is prob of sequence pini?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.669021 less than -238.5?\nAnswer: -233.830979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(42\/(-60) - (-2)\/5).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 419733 + -2857854. Let w = -10260363 + 5532242. Let y = w - p. What is y rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8\/5, -0.5, -2\/23, 5?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23671945 and 506.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00148228294 rounded to 6 dps?\nAnswer: 0.001482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -926*k**2 + 866*k**2 - 377*k**2.\nAnswer: -437*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11083501 is divided by 1385434?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19547 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -162?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29795156 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57 - 81. Let j = 19 + m. Suppose -29*b - 36 = -35*b. Sort 2, j, b.\nAnswer: j, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - 0.1. Let o = 938\/5 - 187. Let t = -135 + 269\/2. Which is the nearest to 0? (a) t (b) o (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74278 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -33, 2 in decreasing order.\nAnswer: 2, -2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*(g\/(g\/(g*g\/g**(1\/11)*g)*g))\/g*g\/((g\/g**(-7))\/g))\/((g\/g**12)\/g*g\/(g\/g**2*g)) assuming g is positive.\nAnswer: g**(87\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 124435811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112202 (base 4) to base 13.\nAnswer: -86c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1862.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -85.70813 rounded to 2 decimal places?\nAnswer: -85.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -502*t + 9263. What is the remainder when w(18) is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 67005716?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6969*n. Let j(l) = 158*l. What is j(d(f))?\nAnswer: 1101102*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 53, 97, 143, 191, 241, 293, 347?\n\"Answer: d**2 + 41*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 3*y - 19 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 51445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 15*n**2 + 14*n. Let g be u(-13). Suppose 0 = 34*r - 4*r - 2520. Suppose -r - g = -5*t. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51225 is divided by 582.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11646 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -0*o + 2*q - 13, 0 = -2*o + 2*q - 20. Let l = o + 11. Let u = -36 - -39. What is the smallest value in l, -3, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -941\/42, 1, -0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -560566887, -560566890, -560566893, -560566896, -560566899?\nAnswer: -560566902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 242 - 233. Let b = 139 + -136. Solve -36 = -b*y - q*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + t = -0*t - 19, 2*t - 12 = -q. Suppose q = -32*a - 470. Which is smaller: -16 or a?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = g + 8 - 2, -3*g - 10 = -2*k for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 + 83*j + 525. What is t(47)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + -4 - -4 - (36 - 25)) + (11 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 376511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1996 and -154?\nAnswer: 307384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, l: 5, u: 3}. What is prob of picking 1 m and 3 u?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91135*v = -91134*v + 12 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 770b10 - -2?\nAnswer: 770b12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-18)\/(-20))\/(21\/(-203)) and 63\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kgkkgkkg. What is prob of picking 2 k and 1 g?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7 times -28580008\nAnswer: -200060056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -0.3, 0.5, -0.05?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-12))\/(56\/126)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 1341738?\nAnswer: 2683476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5796 is divided by 5758.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3518153.\nAnswer: 1499, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3 + 648\/(-56) + 5 and -59\/112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -90*w + 96*w. Let v(c) = c**3 + 28*c**2 + 3. Let f be v(-28). Put -5, f, w in descending order.\nAnswer: w, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-39)*4*-3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77577817202*w**2\/3 + 4332878*w\/3 + 121\/6 = 0.\nAnswer: -11\/393898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 0 - 32\/(-8). Suppose -5*r + 10*r - 25 = l. Solve -5*g + 0*z + r = -5*z, -5*z + 15 = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmby when four letters picked without replacement from ybybmmymmyy.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*c - 11. Let s(j) = 237*j**3 - 4*j**2 + j + 26. Let v be s(11). Suppose -c*z = -0*z - v. What is z rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**3\/5 + 6434*l**2\/5 + 38542*l\/5 + 6422 = 0.\nAnswer: -3211, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10601 - 10601 - 13*c.\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*((-4)\/22 + 42\/(-11)). Calculate the remainder when (152\/u)\/(3\/(-15)) is divided by 26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 11*f - 25 = 0. Solve -f + 9 = -4*d - c, -41 = -5*d + 4*c for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4493.986 millilitres in litres?\nAnswer: 4.493986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 9 - (-1 - -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 11050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 433 <= 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 10797079\nAnswer: 3239123.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.15 - 41922535216?\nAnswer: -41922535215.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 10. Suppose 0 = -5*a + 5*y - 25, -2*a - n = -0*a - 3*y. What are the prime factors of (a\/(-4))\/(2\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -22?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/3*(-44)\/(-1760)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u + 1. Let j(q) be the first derivative of 2*q**5\/5 - q**3\/3 - q**2\/2 + q - 2. Let m(z) = j(z) - l(z). Find the third derivative of m(g) wrt g.\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.945 + -0.95674. What is m rounded to 3 dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r + 1 - 31. Is -3 - (r\/(-5) + -159) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3)\/(996\/5229) - ((-20)\/8 + 4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 - 55. Let r be (1 - -3) + 2 - m. Solve -r*h - 2*q + 2 = q, -3*q = 3*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00061803 rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000025917 to 6 decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 830300 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1304)\/(-978) - (1 + -1 + 1). What is the smallest value in v, -2\/17, 2\/5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -44*j**2 + 26*j + 70. Let m(c) = -21*c**2 + 12*c + 34. Determine -13*m(x) + 6*p(x).\nAnswer: 9*x**2 - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.8 + 1.793. Let v = n - 0.085. Round v to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16523453?\nAnswer: 23, 718411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q - 2. Let i be x(3). Let y(b) = -2*b + 30. Let a be y(14). Sort 0, i, a.\nAnswer: 0, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3*q**2 + 2*q. Let w(d) = 7*d**2 + 3*d. Let m(g) = 10*s(g) - 4*w(g). Factor m(h).\nAnswer: 2*h*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1042583, 1041745, 1040907?\nAnswer: 1040069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) -4 (c) 5 (d) 0.743 (e) -0.2 (f) 2\/47 (g) -126\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 50634?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 11480?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 8:09 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: a3b (base 14) to base 13\nAnswer: bbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3 + 3*b - 117 - 357*b**4 - 291*b**4 - b + b**3 wrt b.\nAnswer: -7776*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 18 = 3*t, 6*k + 2*t - 15 = 3*k. What is the smallest common multiple of 30 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 233337a?\nAnswer: 2333379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 4817120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -25*k - 94. Is 5 a factor of b(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 8 = -2*j. Let v(r) = 614*r - 141830. Let i be v(231). Solve k = i, j*x + k - 32 = -2*k for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 740 is divided by 52?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200022 (base 3) to base 12.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41? (a) -3\/2 (b) 0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 0*y**2 + 1\/3*y**3 - 27 - 2*y. Let b(f) = -2*f**2 + f + 7. Give 2*b(i) + 7*w(i).\nAnswer: 3*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/9*3)\/(2\/15342). Suppose -h + 3808 = -15*v. What are the prime factors of v?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78 + -70.6. Let g = -7 + j. What is the nearest to -1\/4 in -5, -0.2, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 291 times 1113694\nAnswer: 324084954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 4854.21 centimeters?\nAnswer: 48542.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13006452122 + 0.05147.\nAnswer: 13006452122.05147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*p + 23*p - 55 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5536\/(-208) + 19 + 7)*(-3)\/(-60))\/(-2)?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2618, -2609, -2600, -2591, -2582?\n\"Answer: 9*k - 2627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**2\/6 + 280*b + 493079\/6 = 0.\nAnswer: -1301, -379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of i**5\/20 - 136*i**2 + 15*i. Let r(q) = 553*q**2. What is p(r(n))?\nAnswer: 917427*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-11) + 4962\/66. Let z = l + -51. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -14*s + 18*s - 20, 0 = 5*b - 5*s - 10. Solve 271 = -b*c + 251 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/504 and -97\/22176?\nAnswer: 22176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 + 84780*w**2 + 435468825*w + 605993118390.\nAnswer: 5*(w + 2238)*(w + 7359)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 36 = -3*t, -t - 6 = -i + 4*i. Let r = t + 10. Let a = 0 + r. Let u(w) = w**3 + 5*w**2 - w - 4. Calculate u(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 51\/85 + 24\/10. Solve -4*n - 6 = 2*k + 10, -10 = o*n + k for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.6 and 10.89199?\nAnswer: 17.427184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 706100 (base 8) in base 14?\nAnswer: 60a40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 31486.\nAnswer: 62972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180, 933, 2190, 3951, 6216, 8985?\nAnswer: 12258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 28*y + 194. What is g(-17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 450 divided by 150.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 41831088.\nAnswer: 125493264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -171*o**3*w**2 + 15*o**2 - 8*w**2 wrt o?\nAnswer: -1026*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253307?\nAnswer: 253307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*j = 68*j - 192360. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 3 = 0, 152 = -i + 126*z - 77*z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29751492?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**4)\/(v**(-9)\/v))**(-19)*(v\/(v**(-3)\/v)*((v**(-3\/4)*v*v)\/v)\/v)\/((v*v**(4\/5))\/(v*v**(-7\/2))) assuming v is positive.\nAnswer: v**(-5701\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k - 3 - 13*k - 5*k.\nAnswer: -18*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85262\/(-4790)*3\/3*1*-5.\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 22 = 5*s + n, s - 2*n = 11. Solve z = 2*k - z - 4, 2*z = -k + s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - -29937651676\nAnswer: 29937651669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6359*p**4 + p**2 - 23090.\nAnswer: 25436*p**3 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*m**3 - 467*m**3 + 198*m**3 + 147*m**3.\nAnswer: 78*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62363 - 39510. What are the prime factors of z?\nAnswer: 22853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 200710.4 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**3 - 29*t**2 + 6*t - 22. Let f(z) = -z**3 - 9*z**2 - 5*z + 14. Let u be f(-8). Let h be c(u). Solve j + h = 3*a, -2*a + 2 + 14 = -2*j for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 15*n**2 + 20 + 18*n**2)*(-n + 4*n + 7*n).\nAnswer: 30*n**3 + 170*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007741 rounded to 6 dps?\nAnswer: -0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193592*2.\nAnswer: 387184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 divided by 18?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29898\/(-31559)*741\/(-9).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 207288.\nAnswer: 621864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 539254307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63892615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 r when two letters picked without replacement from {u: 11, r: 2}?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**3 + 2*a**2 - 5*a + 2. Let u be d(1). Let n be (-6)\/4*2*-1. What is the second derivative of 29*m**2 - 5*m - u*m - 30*m + n*m wrt m?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 75836752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 16 = 22. Suppose 2*j + 3*j = -a + s, 0 = -3*j - 3. Solve q + 5*z = -21, -3*q - 4 = 3*z + a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -6650 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*b**3*m**2 + 7*b**3*m - 2*b**3 + 9*b*m**2 - 5*b*m wrt m?\nAnswer: 44*b**3 + 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6583 * -56.74.\nAnswer: 37.351942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 543\/3620*2\/(8\/(-10)). Let s be (-9)\/(-18)*2\/5. Which is the nearest to -0.2? (a) 1 (b) s (c) u (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 4*k + 4, -6 = -5*k + 2*k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*z + 21*z - 152 = 490 + 128 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19, -91, -211, -379, -595?\n\"Answer: -24*t**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l. Let c(k) = 389518*k**2 + 5*k. Give f(c(j)).\nAnswer: 779036*j**2 + 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 6. Suppose 0 = 9*q - d*q - 786. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 11*m. Let o(p) be the first derivative of 3*p - 8 - 1\/6*p**4 + 0*p**3 + 0*p**2. Let w(d) be the first derivative of o(d). Give w(j(y)).\nAnswer: -242*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*g + 6*h - 4*h, -3*g - h = -10. Suppose -4*r + 2*y = -2046, g*r - 1021 = -32*y + 31*y. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10\/19, 0, 3, 4, -316, 1\/5?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -9*f**3 - 2*f**2 + f. Let v be g(1). Let k = -7 - v. Suppose c + 4*c = -4*d - 12, 9 = 3*c - k*d. Solve c = -3*u - 1 - 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 704*r + 3*n - 66 = 708*r, -73 = -3*r + 8*r - 2*n + 3*n for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.33 + 0.515. Round n to 2 decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 9*g**4\/4 - g**3\/3 + 23*g. Is 16 a factor of y(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*(z*z**(-1\/10)\/z*z)\/z*z)\/z)\/z*z*z**3)\/(z**(-2\/3)*z*z**(-1)) assuming z is positive.\nAnswer: z**(137\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 51403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11237? (a) -0.1 (b) -21 (c) -51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14297, -14445, -14845, -15623, -16905, -18817, -21485?\nAnswer: -25035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gv when two letters picked without replacement from {g: 1, v: 1, u: 1, i: 9}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -283.3 + 288.3. What is the biggest value in 173, -7, z?\nAnswer: 173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387804539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3638896 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 18*k. Let r be (-12)\/((-20)\/(-8) + -4). Solve -3*q + 4*j + r = 0, -3*q + j = -2 - k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5971 + 750 + 1023 + 2*s**2 - 25*s - 327*s + 2*s**2 = 0. Calculate s.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 0.8. Let q = p + -1.2. Let f = 0.8144 + 0.1856. Sort q, f, -7\/4 in ascending order.\nAnswer: -7\/4, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: e2b (base 16) to base 14\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1433 (base 5) to base 16\nAnswer: -f3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1549434731 to the power of 1\/2, to the nearest integer?\nAnswer: 39363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1809*i + 2316 + 49185 + 33465 = 12606 for i.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -3)*4 + -1. Suppose b*t - 4 = 2*t. Suppose -t*z = 3 - 7, 2*x - 3 = -z. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 11. Let x = 3 + k. Let y(s) = 6 - 4 - 13*s**2 - 10*s + 9 + 14*s**2. Determine y(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -3*x - 2*m + 9, 4*x = -3*m + 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 134360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 + -12)\/((-228)\/8). Let p be (-2)\/4 + 1\/2. Which is greater: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1395, -1268, -1141, -1014?\n\"Answer: 127*z - 1522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 + 14313085*t**2 + 10243212954315*t - 10243227267405.\nAnswer: 5*(t - 1)*(t + 1431309)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 u, and 1 s when three letters picked without replacement from {s: 1, u: 5, c: 1, f: 2, m: 6, l: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 3*q - 30 = -38, 0 = 3*g - q + 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -5*g + h, 12*g - 2*h = 7*g - 17 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4774 times -340?\nAnswer: 1623160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 + 5*g**2 - 2*g**2)*(4 - 3 + 0) + (1 - 1 - g)*(4*g + g - 4*g) + 3 - 3 - 2*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*g - 2, 2*k + 6 = -2. Let j(s) = 5*s + 9. Let m(q) = -6*q - 10. Let h(l) = g*m(l) + 7*j(l). Suppose -n = -3*n. Calculate h(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3707 times 21.172\nAnswer: -78484.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiviviiii. Give prob of sequence iiii.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + t**2 - t - 2. Let k(u) = 14*u**4 - 6*u**3 + 2*u**2 + 152*u - 12. Let n(x) = k(x) - 6*p(x). What is the second derivative of n(c) wrt c?\nAnswer: 168*c**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.021 or 76\/79?\nAnswer: 76\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 11:41 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 1253?\nAnswer: 1253.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74974 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -1 - (-29 + 46)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71 - -921\/13. Which is the smallest value? (a) 0 (b) y (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 m, and 1 y when three letters picked without replacement from byhbyahmybee?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -7579455.\nAnswer: 2\/1515891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, x: 4, b: 7}. Give prob of sequence bb.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.5508 hours to nanoseconds.\nAnswer: 178382880000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 1 - n**2 - 2*n**3 - 3. Let b be ((-6)\/5)\/(74\/(-185)). Let l(m) = -m**3 - m**2 - 3. Let w = 15 + -19. Give b*k(u) + w*l(u).\nAnswer: u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1562 and 4118.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 12*6*(-6)\/(-324) - 0\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s - 36. Let d(f) be the third derivative of 13*f**4\/24 + 2*f**2 - 586*f. Determine d(b(c)).\nAnswer: 13*c - 468","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 2 - 2. Suppose 0 = -2*z - 3*z - l + 18, 0 = 3*z + 2*l - 15. Let o(y) = -z*y - 2*y - 5*y. Calculate o(h(w)).\nAnswer: 10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 334017*d**3 - 6*d**2 + 10441?\nAnswer: 2004102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 73*n**2 + 124*n + 3569. Let b be z(-74). Are -1710\/13 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*b**3 + 155*b**2 - 1041 wrt b?\nAnswer: 15*b**2 + 310*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2 - 43*z - 121. Determine d(-15).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -31 divided by -2175\nAnswer: 31\/2175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 14, 0, -1, -17, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 21*p - 20*p = 2, -5*p = -5*l - 20 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/7)*l)\/(((l\/(l*l*l*l**3\/l*l*l))\/l)\/l)*(l**(-2\/3)\/l)**(2\/105) assuming l is positive.\nAnswer: l**(547\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/7 and 1\/48708.\nAnswer: 340956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(95\/864) - 2. Let w = g - -56\/5. What is the nearest to 0.4 in w, -5\/6, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182971.7 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -577.9 (b) 1 (c) 5 (d) 51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 66 + 38 = 0. Solve 0*d - d = 3*j + 14, -2*d = 2*j + q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3195 is divided by 65?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001059362742 rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 525 a factor of 4708736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - -3*sqrt(102))*5 + sqrt(102))\/(sqrt(60)\/sqrt(90)).\nAnswer: 63*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -321, -3795, -13233, -31623, -61953?\n\"Answer: -498*l**3 + 6*l**2 - 6*l + 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3778822 + 61748615 = 185*s - 32670193. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ypyyayaapyyqyypqy. Give prob of picking 2 y and 1 q.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 93.65621 years?\nAnswer: 1123.87452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 - -1421 - (3 + -2)*3 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2821\/6 - 470. Let q(j) be the first derivative of -3\/2*j + h*j**3 + 4 + 1\/2*j**2. Factor q(g).\nAnswer: (g - 1)*(g + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/37772 and -103\/46117484?\nAnswer: 3274341364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -33. Calculate the least common multiple of y and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, h: 6, l: 8, p: 2}. What is prob of sequence ll?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -9*m**5\/35 + m**4\/7 + m**3\/14 - 21*m. Solve x(o) = 0.\nAnswer: -1\/6, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 236424790 or 236424789?\nAnswer: 236424790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2 = 2*b - 3, -5 = -r. Suppose 7 = 2*w - b. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 7*p + 1. Let s be v(1). Suppose -2*q + 2*l = 8, -q - l - s = 2. Let h(o) = -13*o + 3. Let j(a) = -9*a + 2. Calculate q*j(n) + 5*h(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56403.\nAnswer: 3, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 1 - 1)*(0*g - 2*g + 0*g)*(-4145 + 6663 + 5499)*(-2*g + 2*g - g) to y*g**2 + o + a*g and give y.\nAnswer: 32068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*l = 5*l + 5, -18 = 2*t - 2*l. What is the fourth smallest value in t, -5, 42, -4\/3?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2 + 4 - 32*j as v*j + y and give v.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 - 828*l + 17222. What is v(22)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87166330 is divided by 361?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*y**4\/10 + 57*y**3\/5 - 62*y**2\/5 - 228*y\/5 + 16\/5 = 0. Calculate y.\nAnswer: -4, -2, 2\/29, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 - -0.2. Let d be 1*10*4\/84. Let f = d + 4\/21. What is the second biggest value in f, p, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 24 (c) 4\/23 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-56)\/(-12)*(5 - 2). Suppose -5*z - 7*f + 4*f = 4, 0 = -z - 5*f - l. Suppose 4*c = -5*s + 24, 3*s = 5*c + 6 + z. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 15*l**2 + 23*l - 8. Calculate the least common multiple of x(14) and 9.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -23284 times -0.4?\nAnswer: 9313.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 56945, 113988, 171031, 228074, 285117, 342160?\n\"Answer: 57043*s - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*z - 3*w, 2*z + 0*w - 6 = -2*w. Let l = 34 + -13. What is the highest common divisor of z and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n**(-2\/15)*n)*n)\/n*n**(-2\/5))\/(n**5\/(n*n\/(n*n**2*n)*n)))\/((n\/((n*n**(-1))\/n))**(-15)*(n**0)**(-48)) assuming n is positive.\nAnswer: n**(341\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -29. Suppose 92 = -0*u - 4*u. Let p = u - -33. What is the lowest common multiple of z and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92435101.\nAnswer: 11, 1117, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72972506?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1716 divided by -66\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * -3.592.\nAnswer: 32.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 5*y, 3*y = -3*q - y + 237 - 232 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -6*j**2 + 12*j - 15. Suppose -f + 12 = -3*v, v - 2 = -f + 2*v. Let x(m) = -5*m**2 + 12*m - 14. Let u(k) = f*x(k) + 2*c(k). Solve u(q) = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 + 9*i**2 - 3*i + 11. Let d = 24 - 16. What is the remainder when m(4) is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21210 divided by 5?\nAnswer: -4242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n + 10. Let r be b(-6). Suppose 6 = r*l - 2. Calculate the remainder when (-194)\/(-5) - l\/(-10) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53 - 4 - 4640618\/94498?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134958251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express h**2 + 7549*h**4 - 2*h**3 + 1 - 3774*h**4 - h - 3788*h**4 as m*h**2 + x*h**4 + r*h + p + f*h**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**3\/9 + 68*x**2\/9 = 0. What is x?\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*(-1)\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -0.7 (b) -2\/31 (c) -6675 (d) 1\/3 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-88)*-12*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68833 + -3716863\/54. Calculate the common denominator of f and 59\/48.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-273)\/18)*(-2938)\/(-339)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g - 35. Let j be c(-7). Sort 0, -2, 1, j.\nAnswer: j, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 322.1 and -0.01.\nAnswer: -3.221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1643262 and 24.\nAnswer: 6573048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 0*l - 4*l**2 - 35*l**3 - 5*l + 34*l**3 - 25 - 5*l**2. What are the prime factors of j(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*c - 1 - 3 = 0, 4*c = -12. Suppose 70 = -2*v + 78. Put v, h, 3 in ascending order.\nAnswer: 3, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) 1 (c) 1241 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 39*k**2 + 87*k + 647. Let x be y(-41). Calculate the greatest common factor of 650 and x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -7*o - 70. Let a be n(-9). What is the nearest to 2 in 3, a, -0.3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 97964.\nAnswer: -3\/97964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3\/5 - 44*b**2\/5 + 437*b\/5 + 1058\/5 = 0 for b.\nAnswer: -2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t - 8. Suppose 8*y + 88 = 10*y. Suppose -4*j + 3*j + 17 = 2*g, -5*g - 2*j + y = 0. Let n be c(g). Solve 2*z + 0 = -n for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44258.\nAnswer: 2, 22129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -12*k**2. Let h(j) be the first derivative of -8\/3*j**3 + 0*j - 29 + 0*j**2. Give g(h(n)).\nAnswer: -768*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (((-6)\/2 - -3) + -4). Solve b*j + 2*p - 3 = 4*j, -3*j = -2*p - 7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -100924, -100869, -100824, -100795, -100788?\n\"Answer: -f**3 + f**2 + 59*f - 100983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08388 + -559.81612. Let l = x + 560. Let v = -0.1 + -0.1. What is the closest to l in -0.1, -0.3, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*d + 4*p, -2*d = -d + 6*p + 15. Suppose -8*y + 15 = -1. Factor 1\/2*h + 0 + 1\/4*h**y - 1\/4*h**d.\nAnswer: -h*(h - 2)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 129601.9 nanograms?\nAnswer: 0.0000001296019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*a = 19, -2*a = 3*o - 2*o + 13. Sort o, 0.2, -1\/11.\nAnswer: o, -1\/11, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 652, 613, 576, 541, 508, 477?\nAnswer: 448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -213260986?\nAnswer: -5\/213260986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106445 and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 989514589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(5200) - sqrt(5200))\/((2*sqrt(16))\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2544 from -2.\nAnswer: 2542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -42, -74, -116, -174, -254, -362?\n\"Answer: -q**3 + q**2 - 28*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22.4 - -22. Let a = -2 - -1. Let z be (a + 1\/2)*-6. What is the third smallest value in 1, p, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303810644 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3477063400 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eighteen fifths of a micrometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17772401?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*u - 3*u + 10, 5*u + 4*j + 6 = 0. Suppose -u*c - 3 + 1 = 0. Is (8 - c\/(-1)) + -2 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 2*n - 8. Let k(r) = 239*r**2 + 21*r + 57. Let w(l) = -102*l**2 - 10*l - 28. Let s(o) = -3*k(o) - 7*w(o). Calculate -2*s(z) - 7*t(z).\nAnswer: -z**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a year in months?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -248*u**2 - 104*u - 24. Let o(n) = n**2 - 10*n. Let m(p) = 3*f(p) - 24*o(p). Let c(b) = 53*b**2 + 5*b + 5. Give -72*c(l) - 5*m(l).\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-36)\/16*(19 + 1). Let f be 4\/10 + (-27)\/t. What are the prime factors of -1 + f - 14\/(-1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 682\/5 + (-14)\/35. Suppose v = 2*c - 130. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 469, -5, -2, 5 in increasing order.\nAnswer: -5, -2, 5, 469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 5\/1518?\nAnswer: 5\/1518","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, y: 2, v: 6, d: 1}. Give prob of picking 3 v.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -6*o**3 - 574*o**2 - 373*o + 200. Determine x(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.11829 to 3 decimal places.\nAnswer: -0.118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(2\/8) - (27 - 4578) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 15*u + 16. Let l be j(-14). Solve 0*t + 2*t - l = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529282371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893722 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7961?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13937 - 1350*d - 6914 - 7023.\nAnswer: -1350*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-216)\/(-9))\/6*23\/23?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by -3.\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 104776071 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1323) + -3 + -3*sqrt(1323) + -4)*-4)**2 + -4.\nAnswer: 9408*sqrt(3) + 85452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 68 + 228. What is the greatest common divisor of 37 and t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -131 less than -261\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 6. Suppose -c = n - 44, 0*n - 2*n - o*c = -89. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77 + -72. Suppose 0 = -f - 5*l - 3 + 18, -5 = -f + d*l. Suppose -5*n - 910 = -f*n. Is 26 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 v, and 1 c when three letters picked without replacement from pqqivpc.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 3 + 8*p - 3 + 3 + 5 + 0 + 8.\nAnswer: 8*p + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 4*r**2 - 4*r + 6. Let a(w) = -w**2 - 10*w**2 + 17 - 11*w - w**3 + 4*w**3. Suppose 0 = 8*x - 0*x - 88. Give x*j(h) - 4*a(h).\nAnswer: -h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 2 = -p, 3*p + 6*s - 8*s = -3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -18*o - 5. What is f(-2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/4 - 16\/(-64). Which is the third smallest value? (a) -14\/3 (b) 4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -517 (base 14) in base 6?\nAnswer: -4345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v + 93*v + 18 - 147 - 67 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.296 - 18237.81?\nAnswer: -18232.514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5997339 and -0.2?\nAnswer: -1199467.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 2*z - 17*n + 16*n, 5*z = 5*n + 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 26 + 6 = 0. Is k a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-9\/7)\/(b*b*b**(-6)*b))**(-1\/7) assuming b is positive.\nAnswer: b**(-12\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 784\/1456 - ((-3)\/6 + (-3)\/(-2))\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 2, -4, 1008, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101055, 202105, 303149, 404187?\nAnswer: 505219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n**3 + 2*n - 1. Calculate l(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/21*(-2 - 5). Factor 15\/2*y**3 + 0 + 9\/2*y**2 + 3\/2*y**4 - 3\/2*y**g + 0*y.\nAnswer: -3*y**2*(y - 3)*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a + 5. Let f be j(3). Find the second derivative of 40 - 12*k + 11*k**2 - 43 + f*k**2 wrt k.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 11, l: 1, a: 3, n: 1, v: 3}. Give prob of sequence nq.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13702823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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 0 = -4*z - 4*z - 8. Let l = 95.4 + -88. Let k = -2.4 + l. What is the closest to z in 0.4, 3, k?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5*sqrt(304) + 1) + ((4*(sqrt(304) + 1) - sqrt(304))*-3)**2 + -5.\nAnswer: 824*sqrt(19) + 24765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 184682.4 millilitres in litres?\nAnswer: 184.6824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 1 + 1494\/(0 + -9). Is r greater than -161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 853 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1054 - 1054.3. Let v = 0.4 + 0.1. Let o = 0.4 + v. What is the second biggest value in y, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 5*g**2 - 3*g - 5. Let m be 57\/(-6)*(-4)\/2. Suppose 20*h - m*h - 5 = 0. Determine l(h).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: Calculate -0.05*37.\nAnswer: -1.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -10 - 55*u**2 - 3*u**3 + 60*u**2 + 2*u**3. Let s be h(4). What is the highest common factor of s and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 7 + 4*n)*(-4662*n**2 + 4672*n**2 - 6 + 2 + 4*n) to h*n + u*n**2 + c + x*n**3 and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 131865089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833)*2)**2 + -4.\nAnswer: 3328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 106813 - 106812.928927. Let m = -0.071 + d. Round m to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -387960 + 1030363. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -61*f + 2*w - 121, w - 12 = -7*f - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 3*p**5\/40 + p**4\/3 + 7*p**3\/12 + p**2\/2 - 4*p + 2. Let r(i) be the first derivative of s(i). Solve r(y) = 0 for y.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4*((1 + sqrt(637))*3 + 3*sqrt(637)*-2)**2.\nAnswer: -504*sqrt(13) + 22972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -0.327?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2 + 877 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6270 is divided by 30.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j + 2*j - 3*j + (2*j - 9*j - 2*j)*(0 + 1 + 1) + 0*j - j + 3*j to r*j + s and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 16429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 57*f - 8. Let r(h) = -2*h**2 - 114*h - 18. What is -7*b(o) + 3*r(o)?\nAnswer: o**2 + 57*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.9 - -9.7. Which is the nearest to i? (a) -0.1 (b) 6 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 344, 32, -2.\nAnswer: -2, 0, 3, 32, 344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/880 and 101\/2393952?\nAnswer: 11969760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 16\/7 (b) 0.3 (c) -0.4 (d) 0.1391\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (22305\/(-135) - 4\/(-18)). Let r = -111 + a. What are the prime factors of r?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -13113200.\nAnswer: -6556600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/2483 or -315?\nAnswer: -4\/2483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/6)\/((-12)\/54). Suppose -15 = -j - 4*w, -4*j + l - 3 = -w. Let c = 5 + 1. Solve -y + 3 = -j*m - c*y, 0 = -5*m - y - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234888958 >= 234888958?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-14)\/40 - (-27)\/36\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 - 211 - (0 - (2 + -6 + 68))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8577, -9741, -10905, -12069, -13233?\nAnswer: -14397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/7 - 29\/(-42)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86.47 - -88. Let n = h + 0.07. Let s = 0.6 - n. What is the second smallest value in s, 0, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*b + o + 22, -10 = -2*b + 2*o. Let x = 5973 - 5944. Solve -9 = -b*u - x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 652977 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 6*s**2 + 3*s + 3. Suppose 7*w + 18 = 10*w. Let z be m(w). Let d(p) = p - 18. Calculate the remainder when d(z) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -370616 (base 9) in base 8?\nAnswer: -664527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.16405 - -0.23595. What is the third smallest value in p, -1025, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3930*d**2 - 1552*d**2 - 2 - d - 1039*d**2 + 3 as t*d**2 + b + h*d and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2240 is divided by 74.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 411, -1, 3?\nAnswer: 411","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -290, -4, 4, -243, -5 in descending order.\nAnswer: 5, 4, -4, -5, -243, -290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 + -14. Solve 0 = 2*j - 7*j - o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1781 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**3 - 2*n**3 - 2*n**3)*(-4*n**2 + 6*n**2 - n**2) - n - 3*n**5 + n + 7*n**5 + n**2 - n**4 + 2*n**4 - 7*n**3 + 0*n**3.\nAnswer: 5*n**5 + n**4 - 7*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 (base 13) in base 8?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-20))\/(5\/25). Suppose h*m - 23 = -3*b + 55, -4*b = 5*m - 106. Let f = b + -5. Is f a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*i**5 + 219944*i**4 + 191920288*i**3 + 55769467896*i**2 - 34670772468*i - 21290835744 = 0. What is i?\nAnswer: -873, -8\/21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(30\/58)*(-50)\/8*200\/250\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*q - 17953 = -10081 for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 437*j. Let s(i) = 117*i. What is l(s(o))?\nAnswer: 51129*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - i**2 - i + 26. What is the remainder when u(0) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1, 6, 23, 58, 117, 206, 331, 498?\n\"Answer: q**3 - 2*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 150079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66420*v**3 - 89228*v**2 wrt v?\nAnswer: 398520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1045 + 1.1045. Put -5, -40, p in descending order.\nAnswer: p, -5, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 6*f, 2*d - 4*f = 6. Let a = 138 + -138. Suppose -3*i + 5*x + 7 = a, -d*x - 2 + 5 = -i. Calculate the greatest common factor of i and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10355 + -10352. Let u = -7 - -12. Solve u*r = -d + 18, 0*d = 2*d + y*r - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 13. Let b be (n + 94)*(-24)\/(-9). Suppose l = -3*l + b. Does 20 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 25) + -2 - -2 - (22 - 2).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -386 - -28672. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - 13. Let d = -15 - s. Suppose -2*x + 3*x = d. Calculate the remainder when 54 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45158 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 144 = 4*d. Suppose -4*f - x = -156 + 60, -29 = -f + x. What is the remainder when d is divided by f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294894 divided by -2.\nAnswer: -147447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3 - 7 - n + 9. Give o(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 14*b**2 - 2*b - 2. Suppose -5*v = -13 + 3. Give u(v).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -1. Let l = -65 - m. Let o = l + 83.99999959. Round o to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/9))\/(r*r*r**(5\/3))*(r*(r\/r**(-4)*r)\/r)\/(r\/r**7) assuming r is positive.\nAnswer: r**(82\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 9:55 PM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 69927, 69923, 69917, 69909, 69899, 69887?\n\"Answer: -v**2 - v + 69929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-6)*93\/(-10602).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 10:48 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 71 or 67?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63742 and 25578?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/24 and -137\/162.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 7534 = 3*t, 2*t + 4*r = -t - 7538. Let i be t\/60 + 2\/(-12). What are the prime factors of (-108)\/i*14\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 862 = 3*k + 2*h - 1937, 1847 = 2*k - 5*h. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-1365)*3)\/(84\/420)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(156) + (sqrt(156) - (sqrt(156) - 2*sqrt(156))*-6))\/(sqrt(48) + sqrt(48)*-2).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.019 - -5.019. Sort u, -1, 0.1, 2\/9 in ascending order.\nAnswer: -1, 0.1, 2\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 10:27 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.705 times -52?\nAnswer: -348.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z + 8*z + 467*z**2 + 3*z.\nAnswer: 467*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*o + 28 + 46 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -2210121001202121?\nAnswer: -2210121001202210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v + 41*v + v - 13*v.\nAnswer: 23*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6*k - 3005 = -j, j - 2996 = -k. Calculate the greatest common divisor of j and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*b - b - 5*n + 5, -b + 5 = -4*n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**6\/360 + x**5\/24 + 7*x**4\/6 - 2*x**2. Let a(t) be the second derivative of n(t). Give a(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s**3 + 8*s - 7*s**2 - 2*s**3 - 3*s**3 + 4. Let u be m(-8). Let f be (-12)\/(-2)*2\/u. Solve -4*z + 2 + 1 = j, 2*j = -f*z + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y\/y**0)*y*y\/(y*y\/y**(-2\/11)))**(-49) assuming y is positive.\nAnswer: y**(637\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 11:28 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 36*w + 158. Determine b(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(243)*1)**2 - (sqrt(243)*-2 + sqrt(243) + -3).\nAnswer: -81*sqrt(3) + 271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 41*k**2 + 20*k**2 + 21*k**2 + 2*k**3 as s*k**2 + y + q*k + r*k**3 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3053 (base 10) to base 7.\nAnswer: -11621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2205287608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5\/2 (b) 5 (c) 1 (d) 1\/322 (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/400 and -67\/480.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 736656 and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -130 by 26.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 4*r - 4*r)*(-2*r + 3*r + r + 0*r - 2*r + 4*r + (-2*r - 4 + 4)*(-6 + 3 + 1))*(4*r + 2 - 2).\nAnswer: -64*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 218*n - 9195. Calculate g(42).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 26*s - 146. Calculate f(8).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 90283061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -66276 (base 12) in base 13?\nAnswer: -496a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12834049 and 4027?\nAnswer: 4027","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 + 39*r - 40. Let m be w(-30). Suppose -2*q - 4*h + 16 = 0, 2*h - 6*h = -3*q + 4. Is (0 + m)\/(q + -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2101.4255 - -3143.425967. Let t = d - 1042. Round t to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/6 - (-4)\/6. Let j = 68097 - 68094. Which is the biggest value? (a) 4 (b) 2\/11 (c) x (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o**2 + 39*o + 5 - 5 + 13965*o**3 - 13967*o**3 in the form l*o**3 + i*o + y + n*o**2 and give i.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27425.77 millilitres to litres.\nAnswer: 27.42577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 16*h - 116. Let u(a) = 2*a. Give -m(x) + 5*u(x).\nAnswer: -x**2 - 6*x + 116","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of z**4\/12 + 5*z**3\/6 + 7*z**2\/2 - 14*z. Let f be p(-5). Let c(r) = 2*r - 9. Give c(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x**3 + 12*x**3 - 4 + 5. Let u be c(-1). Let w(v) = -2*v + 6. Is w(u) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 26*p**2 - 5*p + 133. Let l be 34\/(-51) - ((-320)\/3)\/4. What is the smallest common multiple of k(l) and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 5*q. Suppose q = 3*c + 3*y - 18, 4*y = 3*c + y. What is the remainder when 6 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s**2 - 41*s**2 - 9*s**2)*(-s + 4*s**3 + s).\nAnswer: -224*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4902?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a**(-32)*a))\/a**(1\/9) assuming a is positive.\nAnswer: a**(296\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*k + 29 + 9*k + 6*k + 8*k in the form q*k + o and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -5*f**3\/6 - 15*f**2\/4 + 10*f + 142. Suppose g(b) = 0. Calculate b.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*v + 11 = -171*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 117390941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 97, 2, -1, -2 in decreasing order.\nAnswer: 97, 2, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 17290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l. Let g(t) = -2*t**2 + 2*t. Give -2*g(m) + 2*r(m).\nAnswer: 4*m**2 - 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-42)\/216*-16)\/2)\/(23\/(-828)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**23*j)\/(j*j**(7\/8)) assuming j is positive.\nAnswer: j**(-183\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 333293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 - 1)*(-2*w - 2*w + 2*w) + (-2*w + 0*w + 0*w)*(5 - 4 + 1) + 2*w + w - 2*w)*(293*w**2 + 392*w**2 - 59*w**2)*(6*w**2 - 17*w**2 + 4*w**2).\nAnswer: 4382*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 19, 1, 3, 0.03, 5\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + 94882803.5753.\nAnswer: 94882803.6753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 162 (base 8) to base 4\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l + 84. Let s be w(16). Let m be 3\/(-12) + (-49)\/(-4). Suppose 24 = s*f + m. Solve 4 + f = 2*h - j, -4*j = -h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9290416, 9290414, 9290412, 9290410?\nAnswer: 9290408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100342 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - (-3)\/(-1))\/(1 - 0). Let r be (-2)\/(x - (3 - -1))*0. Suppose -3*f - f + 424 = r. What are the prime factors of f?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*a = 115*a - 62 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/21, -0.2, 1 in ascending order.\nAnswer: -0.2, -1\/21, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1807 is divided by 1745.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/2 - (-2)\/(-4). Let w(n) = -3*n + 3*n**2 + 5 - n**2 + n**3 + 3*n**2 - 4. Let o be w(-5). What is the greatest common factor of k and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 29 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 + 166. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millimeter in micrometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 340 = -129. Let c = -4731\/2 - -2431. Let d = s - c. What is the closest to -0.2 in 5, d, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -684, 1\/8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 8693353.4 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3658\/354 + 748\/(-102).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 40\/(-50)*5\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98062 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 574531939 to the nearest integer?\nAnswer: 23969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -26. Suppose -2*j - o + 24 = 0. What is the highest common divisor of 1 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7420, 29930, 67434, 119926, 187400, 269850, 367270?\nAnswer: 479654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 848 divided by -53.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - a + 49 = 0, 6*z + 81 = 11*z + a for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 152*m**3*x + 123*m**2*x + m*x wrt m?\nAnswer: 912*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110*k + 324007 = -1041664 + 244991. List the prime factors of k.\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of f**3\/2 + 32*f**2 + 11*f + 1. Let d be r(-19). Suppose 42 = -d*u + 112. Solve v = -v - u for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -6 - (28 + -29).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 264.73 - 263. Let a = b + -0.73. Let z = -31\/14 + 5\/7. What is the nearest to a in -5, 2, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -25, -184, -443, -796, -1237, -1760, -2359, -3028?\n\"Answer: l**3 - 56*l**2 + 2*l + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -b + 4*q, 2*b - 4*q + 7 = 149. Suppose -3*d = f - 2336, 2*d = -4*f + 8*f + 1576. What is the greatest common divisor of d and b?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 1. Let v(p) = -p - 9. Let n(x) = x**2 + 9*x + 88. Let f(w) = -n(w) - 10*v(w). Give f(d) - 4*s(d).\nAnswer: -d**2 - 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -341*r - 476 + 5250 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1670 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1058? (a) -1 (b) 1957 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - r)*(5635 - 9140 - 3243 - 5568 - 8339 + 777).\nAnswer: 19878*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 w, and 1 g when three letters picked without replacement from ggckwgglwcwwwgwgggw?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 5*i + 3 - 3 - 2*i - i + 4*i - i + (-2 - 2*i + 2)*(2 + 2 - 5) + (-i + 0*i + 0*i)*(-3 - 1 + 2) + 2*i - 8*i - 5*i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67.095 - -67. Let u = c - -0.036. Let i = u + 0.06043. What is i rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 16*v - 3642. Let g(l) = -4*l**2. Give f(g(j)).\nAnswer: -64*j**2 - 3642","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*h + 26, -h - 8 = -4*w + 6. Let m(a) = 128*a**h + 3 - 2 - 127*a**2 + 7*a. What is m(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 845575 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 10 - 1\/3*d**3 + 10*d**2 - 37\/12*d**4 - d. Find the second derivative of h(p) wrt p.\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2200, -18004, -60894, -144412, -282100, -487500, -774154, -1155604?\nAnswer: -1645392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-10) - ((-66)\/(-15) + -8). Let l(t) = -t**3 - t**2 + t + 1. Let s(m) = 8*m**3 + m**2 - 3*m - 8. Let k(g) = 3*l(g) + s(g). Does 27 divide k(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.241 - 0.779. Let h = 1.020052 + q. Round h to six decimal places.\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -2\/5. Let m be 4\/32 - 52\/672. Let r = m + 19\/42. Which is the biggest value? (a) r (b) 15 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 + -2)\/(4\/50). Suppose 33*x = 19*x + 1050. Calculate the highest common divisor of x and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6750.08g in tonnes?\nAnswer: 0.00675008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86 + -51. Let s be 1141\/5 - (4 + 3)\/h. Suppose 0 = -p + 67 + s. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 8, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -20) + (-23 - -17 - 4 - -6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 36. Let k be u(32). Let c = 1 - 0. Solve -k*h - c = -5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-273)*(-52281)\/17427.\nAnswer: -1\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 1)*(3 - 3 - 2 + (-3 + 4 + 1)*(-1 - 2 + 2) - 4 + 6 - 1)*(0*p + p + 2*p)*(-29*p + 35*p - 19*p) to the form o*p**2 + g*p + s and give o.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a tonne?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 0.0718180999?\nAnswer: -0.1281819001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 986037 is divided by 106?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 731.518 litres in millilitres?\nAnswer: 731518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1383 - -2266979\nAnswer: 2265596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 e, and 1 d when four letters picked without replacement from jewdpdpdwpk?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2453354066 - -4?\nAnswer: -2453354062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 9 = -0*o - 2*o, 0 = 4*o + 5*r + 13. Let j = -16.2 + 16. Which is the closest to o? (a) j (b) 3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -15 - (294 + -332)) + 44\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3.415 and -1.5?\nAnswer: 4.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-7 - -13)) + 56\/7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-203)\/58*2\/(-56) + 1\/8.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 57131 + 39097 = 0. Is k a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680096 is divided by 11353.\nAnswer: 10269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 710 - 141. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a millennium in centuries?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 189 = -1914. Suppose -u + a - 353 = 2*u, 5*u + p = -5*a. What is the remainder when 26\/u - (-371)\/9 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11574.\nAnswer: 2, 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6)*(-735)\/350*6\/21\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 28779.1 tonnes?\nAnswer: 28779100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 911661868?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -36*c**3 + c. List the prime factors of f(-1).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 3, 1\/3, -4 in decreasing order.\nAnswer: 3, 0.7, 1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4\/7))**(-43)*(d\/(d\/(d\/d**(-5)*d)))\/d**(-1) assuming d is positive.\nAnswer: d**(228\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5453, -10902, -16323, -21704, -27033, -32298?\n\"Answer: 2*a**3 + 2*a**2 - 5469*a + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/11)\/v**5 assuming v is positive.\nAnswer: v**(-56\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4635*u**2 - 6225*u**2 + 4675*u**2)*(u + 4*u + 1 + 0) to the form y*u + l*u**2 + m*u**3 + t and give l.\nAnswer: 3085","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 5, 7.\nAnswer: -5, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1652 is divided by 104?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2500 and -22.\nAnswer: -55000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - 4227*v**2 - v + 4235*v**2.\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 4) + (-1 - -1) + 2 + -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 31402.843 and -510.\nAnswer: 30892.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -1, -14, 0.3, -2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -295 in 18, 1\/5, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/101 + 79\/1111. Which is the second biggest value? (a) -0.4 (b) q (c) -1 (d) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 616 - 614. Let o(l) = 67*l + w*l**2 + 69*l - 136*l. Let c(v) = 11*v. Give c(o(g)).\nAnswer: 22*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/9 - 37826*t\/3 - 2429056.\nAnswer: 2*(t - 56931)*(t + 192)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -111110101 (base 2) in base 13?\nAnswer: -2c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/3 + 196658*n\/3 - 524464.\nAnswer: 2*(n - 8)*(n + 98337)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + 624?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 57 = -0*m - 4*m, -s - m = -42. Let t(k) = 74*k - s*k - 36*k. Let w(f) = -f - 10. Give w(t(g)).\nAnswer: -g - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 359 times 0.2\nAnswer: 71.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2533906 is divided by 1266949?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5*c - 35 = -10, 0 = 4*h + 4*c + 12. Let g be h - 0 - (-1 - 0). Suppose z + 5*x = g*z - 23, -2*x + 4 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - -2) + (-6 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 + 98*n + 249*n + 8*n**2 + 0*n**2.\nAnswer: 5*n**2 + 347*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2276 divided by -548641\nAnswer: 2276\/548641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 4*g + 0*g - 3*g. Let y(h) = 18*h**2 - 33. Let s = -370 - -374. Let j(d) = d**2 - 2. Let a(q) = s*y(q) - 66*j(q). What is a(c(n))?\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**5*l*l**(-1\/3))\/((l*l**(-2))\/l)**(1\/14))\/((l**9\/l)\/(l\/(l\/(l**(-6)\/l*l)))*l**(-7)\/l**(-5)) assuming l is positive.\nAnswer: l**(-130\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 11 = 55. Let d be y\/(-3 - -1) - -3. Suppose -2*l - 32 = 2*l. Is l > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 102\/10 - 6\/5. Solve 2*n = y + o, 2*n = -y - 7 + 10 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 - b**2 - 2*b**2 + (-3*b + b + b)*(-10*b - b - 5*b).\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-27)\/68 + 3\/4. Suppose -15*t = -11*t. Which is greater: l or t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1840, -3678, -5516, -7354?\nAnswer: -9192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-1))\/v)**36)**(-4\/5)\/((v**2*v**(-5\/2)*v)\/(v**(2\/9)*v*v**(-1\/3))) assuming v is positive.\nAnswer: v**(2627\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ph when two letters picked without replacement from {h: 8, p: 5}.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 48.5 + -21817639610.3.\nAnswer: -21817639561.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of q**4\/12 - q**2 + 2*q. Let d be r(2). Let w = 4 - d. Which is the biggest value? (a) 2\/5 (b) w (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**6\/12 + 4*x**5\/5 - 31*x**4\/12 + 4*x**3 - 3*x**2 - 23. Find b, given that h(b) = 0.\nAnswer: 4\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1469 or -135189\/92?\nAnswer: -1469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-38*(-24)\/(-10))\/(9\/(-30))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2907*j + 135. Give v(0).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 6*f - 5. Let b be d(-5). Let k be -1 + (b - 2*-1). Factor -3*a**2 + 7*a**2 - k - 1 - 2*a**4.\nAnswer: -2*(a - 1)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 46*w - 122. Is h(5) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 5. Suppose -2*a + 4 = 5*b - 33, -a - 49 = -5*b. Let q(n) = -4*n - 20. Give b*s(c) + 2*q(c).\nAnswer: c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 147941.2ml?\nAnswer: 147.9412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -3*c**3\/2 - c**2 + 4219*c. What is q(10)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 44\/(-12) - 2\/6. Is ((-7753)\/2)\/(i\/8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*u = 6*x - 405, 2*u - 501 = -5*x. What are the prime factors of x?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 12*d**2 + 2. Let x be q(12). Suppose f = 4, 0*f - x*f = h + 124. Is -7*(h\/(-4))\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qhj when three letters picked without replacement from {o: 3, h: 1, j: 5, u: 3, q: 4, a: 4}.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/18 + 10\/(-45). Let z be -3 - -4 - (-4)\/w. Solve 3*q = -2*q - z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d**3 - d**2 + 20*d + 36. Give i(-2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u = 9*u - 26016. Let y be 2583\/u*16\/(-24). Let j = y + -2\/271. Which is the third smallest value? (a) 0 (b) -10\/7 (c) j (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -95.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a hour in minutes?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.01, -6, 40, -5?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7106 + 7102. Is c at least -121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k + 1. Let f be (-1)\/4 - (-26)\/8. Let b be 2 - 4 - (f - 0). Calculate w(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3789 divided by 1263\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + d - 3*g + 47 = 0, -5*d + 2*g + 150 = 0. Let a = -55 + d. Let n = a - -31. Let t(v) = -2*v + 11. Determine t(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/78 - (-2)\/117*82 and -49\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssshssh. Give prob of sequence hs.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.8 + 1.8. Let j = 134.97 - 134.77. Which is the closest to 2\/11? (a) -0.1 (b) 0.5 (c) j (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -11, 2, -2 in ascending order.\nAnswer: -11, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.07 and -0.2351.\nAnswer: -0.3051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 6*n**2 + 2*n - 9. Let z be f(6). Suppose 5*o = -z*d + 32, d + 3*d = -5*o + 36. Solve -d*y = 11 + 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -99 + 115. Suppose 0 = -i*j + 15*j. Solve j = -4*a - a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11568924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -47251\nAnswer: 47250.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-14)\/6)\/7)\/1\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 277659689 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -239 + 126. Let r = a - -223. List the prime factors of r.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.029230822 rounded to four dps?\nAnswer: 0.0292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115704.\nAnswer: 2, 3, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqqxxqqlqqqiqxq. Give prob of sequence ixx.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e1e - 2145?\nAnswer: -4064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*s - 5*i, -6*i = -s - 3*i - 14. Let j be 6 - (10 + -2)\/s. Solve 0*h + 2*h = j, 3*h - 25 = -5*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*h**2 - 78*h**2 - 83*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 93?\nAnswer: -4\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 6:28 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 4*k**2 - 2. Let l be t(4). Let z be 0\/(-2 - (2 + l)). Let p = -105 - -107. Which is the nearest to 0.1? (a) p (b) z (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -7*d - 95. Let v be i(-26). Let u = 92 - v. Let g(x) = -x**3 + 7*x**2 - 5*x - 3. Determine g(u).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -3. Let x be (9\/(-6))\/((-2)\/8). Let f = x - 2. What is the third biggest value in u, 2, f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105150 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18513859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b + 10 = -3*j - 10*b, j + 1 = 3*b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/10 (b) -84793 (c) -0.5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75))**2 + 0 + sqrt(3) + (((sqrt(30) - sqrt(30)*2) + sqrt(30))\/sqrt(10))**2 - 5*(sqrt(363) + 3).\nAnswer: -54*sqrt(3) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/332 (b) -897 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, p: 1, o: 2, u: 2}. What is prob of sequence oouy?\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 1491617308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 13. Suppose -m = j*m - 9. Let u = -44 + 65. Calculate the greatest common factor of u and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20700776, -41401555, -62102334, -82803113?\nAnswer: -103503892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 2*h + 0*h)*(0 + 1 + 1) - 2*h + 6 - 6 + h + 4*h - h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18047891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1\/5, 5, 1\/2, -45?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 264973 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 116967, 116645, 116323?\n\"Answer: -322*o + 117289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-10)*16\/(-20)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 2 - 2)*(4 - 4 - 1)*(-2*y + 3 - 3)*(1 + 1 - 1)*(71*y - 54*y - 36*y).\nAnswer: 76*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t**2 + 96*t. Let x be 111\/296 + (0 - 91\/8). Let v(h) = -3*h**2 + 49*h. Let q(u) = x*v(u) + 6*k(u). What is the second derivative of q(g) wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3832 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97 + 11. Let v = 85.592 + l. Let n = -0.41 - v. Round n to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + ((-1*(sqrt(1300) - ((-2*sqrt(1300) - sqrt(1300)) + sqrt(1300))) + (sqrt(156)\/sqrt(192) - sqrt(1573)*1))*-2)**2 + 1.\nAnswer: 345385\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9960 = 3*s - n, 0 = -4*s - 4*n + 13573 - 277. Calculate the highest common divisor of 410 and s.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -357 = 28*t - 1365. Solve -32*a + 12 = -t*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m**14\/m)\/m*m)**(-42)\/(m\/(m*m**38)*m\/(m\/(m\/((m*m*m**(-2\/37))\/m)))))**(7\/2) assuming m is positive.\nAnswer: m**(-71232\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5485.43647 + -5351.432. Let v = -134 + o. Round v to 4 decimal places.\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136889375?\nAnswer: 5, 7, 67, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 1564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**2\/(o\/((o*o*o**(2\/5))\/o))*(o**(-2\/3))**(2\/25)*(o\/o**0)**(25\/4)*(o**(1\/2))**(-13) assuming o is positive.\nAnswer: o**(629\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + 5 + -2 + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aealeaaalslaalsces. Give prob of picking 2 a.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 16 = -0*m. Suppose l - 4 = 5*b, 0 = -5*l + 5*b + 19 + 81. Calculate the greatest common factor of l and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 7 = 4*c + 5, 2*c = 3*z - 1. Let k(w) = 27*w - 3. Let v be k(2). Let s = c + v. What are the prime factors of s?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 18 + 2*i + 2*i - 5*i in the form j*i + z and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, -5, -0.32, -0.0196 in ascending order.\nAnswer: -5, -0.32, -0.0196, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -2 (c) -69 (d) 1\/2 (e) -1\/3 (f) 34 (g) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -5*g**4\/24 - g**2. Let y(v) = -19*v + 63*v - 17*v - 13*v - 13*v. Calculate y(r(o)).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 11*c**3 + 6*c**2 + 4*c - 10*c**3 - c - 2. What is the remainder when 22 is divided by m(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 316*f - 40. Let b be i(-3). Is -13*b\/36 - (-8)\/36 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -46*p**2. Let t(k) = 818*k**2 - 619*k. Give t(g(o)).\nAnswer: 1730888*o**4 + 28474*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31.2674 - 31.22. What is the second biggest value in -2\/5, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, f: 2, v: 1, h: 1}. Give prob of sequence eehf.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01177305 to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -13.1 (c) 39\/7 (d) -3 (e) 3 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*i - 448 - 1400*i**3 + 450 - 3050*i**3 - 2*i**2 - 41*i to m*i**2 + j + v*i**3 + w*i and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + (-3 + 3)\/(-2). Let t be 3 - 3\/(-6)*k. Let p be 106\/t - (-10)\/30. Calculate the highest common divisor of 162 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2373.090918 to the nearest ten.\nAnswer: 2370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-674*w**3 - 1522*w**3 + 1075*w**3)*(0 + 0 - 2*w**2).\nAnswer: 2242*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2309.9 times 0.3?\nAnswer: -692.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 z when three letters picked without replacement from qzrrrqrrrrzqtrqoq.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85279*-0.86.\nAnswer: -73339.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -9*m - 2. Let s(w) = -18*w - 3. Determine -3*s(y) + 5*z(y).\nAnswer: 9*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 3*z = 6, -7*z + 8 = -4*m - 3*z for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -573, -3, -24 in descending order.\nAnswer: -3, -24, -573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 + 46. Let d(t) = t**3 - t**2 - t - 3. Let n be d(0). Which is the closest to l? (a) 4 (b) n (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8 - 5016.\nAnswer: -5016.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 16) in base 13?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) 4\/7 (b) 4\/5 (c) -0.067 (d) 4\/3 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -584, -962, -1334, -1700, -2060?\nAnswer: -2414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -538 (b) 205\/22 (c) -62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-13)*a**(-13)*(a**(-23)\/a)\/a**(3\/10) assuming a is positive.\nAnswer: a**(-503\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 27\/36 + 2210\/8. Suppose 0*z + u + 465 = 5*z, u + q = 3*z. Is -2 + 4 + z + 1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 155394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -77*l. Let j be 6\/(-8) - 7\/28. Is t(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1029063*f - 1029063*f - 4*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c**3 - 76*c**2 - 169*c - 1736. What is d(-18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8 or -15?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 134699\/23 + -5859. Is -4 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**6\/360 + q**5\/120 + q**4\/12 + q**3\/3 - 2*q**2. Let j(y) be the first derivative of o(y). Factor j(d).\nAnswer: -(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-783)\/58*(-41 + -1 + 2). Suppose -537*s + z*s - 15 = 0. Determine t, given that 20\/3*t**3 + 55\/3*t**2 - s*t + 0 = 0.\nAnswer: -3, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w. Let o(c) = c - 4. Let z be o(4). Suppose -a - 4*a + 15 = 0. Let k(v) = z*v + a*v - v. What is h(k(x))?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 l when four letters picked without replacement from qcmqquclulclp?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 6 = -2*o - 8, 4*o - w + 3 = 0. Which is the third smallest value? (a) -0.5 (b) -0.1 (c) o (d) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -684.1 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1809276, 1\/2, 4 in ascending order.\nAnswer: 1\/2, 4, 1809276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b - 5. Let w be g(-2). Suppose 0*m + 2*m - 6 = 0. Find the third derivative of -w*j**3 + j**3 - 3 + 4*j**2 + m wrt j.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 102635 - 600?\nAnswer: 102035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 0*d - 3*n + 6, -8*d - n + 52 = 0. Let t(g) = -7*g**3 - 6*g**2 + 6*g. Let l(j) = -8*j**3 - 5*j**2 + 5*j. What is d*l(o) - 5*t(o)?\nAnswer: -13*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - j - 3 = 0, -2*j = 3*o - 4*j + 4. Factor -2*k**4 - o*k**3 + 8*k - 4*k**2 - 11*k**2 + 4*k**4 + 7*k**2.\nAnswer: 2*k*(k - 2)*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(sqrt(7)*-3) + sqrt(20) + sqrt(20) + 2)**2 - ((0 + 1 + sqrt(720))**2 - (5 + 0 + sqrt(720))).\nAnswer: -5803\/9 + 8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*s + 98 = -253*s for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13898 divided by 6949?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 33326925 divided by 1?\nAnswer: 33326925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 4308?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 5*v, -f - 4*v = -4*f - 14. Let q = -4 + 3.6. Which is the third biggest value? (a) -5 (b) q (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 u, and 2 e when four letters picked without replacement from {f: 7, h: 1, e: 5, c: 1, u: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 340918 and 1827874.\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.89*-449523\nAnswer: -400075.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/5*1)\/(200\/(-375))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 366474 and 1521638?\nAnswer: 1186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 261425?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12 - -3) + (1 - (0 - 2)). Let s be 930\/240 + z\/16 + -1. What is the second biggest value in 14, s, 3\/2, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11933 + -11915. Solve 15 = -k*o + 123 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five eighths of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 63951 - -1?\nAnswer: 63952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 11:51 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/379, 2, -0.154?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22397?\nAnswer: 22397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 - 15 = 13*p. Let o = 49 + p. What is the remainder when o is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*n)*(-7 - 3 + 1) + 2*n - 2*n - n - n + 3*n + n + (-5 + 2 + 5)*(-n - 3*n + n).\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 7:29 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4*-5*(sqrt(228) + sqrt(228)*1 + sqrt(228))*5)\/(sqrt(132)\/(sqrt(77)\/sqrt(7)) - sqrt(48)\/sqrt(64)).\nAnswer: -400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 66, 132, 200, 270?\n\"Answer: z**2 + 63*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50591989 divided by -1?\nAnswer: -50591989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -300 by -4.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1721850 to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 356\/(-6)*8\/352. Let h = r - -7\/6. Which is the closest to h? (a) -1\/2 (b) -1\/4 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -975*a - 948*a - 184*a + 2128*a.\nAnswer: 21*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + h**2 - 7*h + 8. Give f(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 939137837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384313*a + 191542*a + 192084*a.\nAnswer: -687*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 7980 = 55*j. Round j to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*d**2*u**4 + 372*d**2*u**2 - d*u**4 - 3*d*u**3 - 2*d*u**2 wrt u.\nAnswer: 408*d**2*u - 24*d*u - 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-378)\/216*(-2)\/7 + 5\/((-15)\/(-12)). Determine w, given that 0 + j*w**2 + 3\/2*w**3 - 1\/2*w**4 + 5\/2*w = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/235 + -231\/940. Suppose -4*d - 3 = 5. Let i = 1\/14 + 5\/322. Sort d, a, i in descending order.\nAnswer: i, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -4*d - 6. Let q be v(-6). Suppose 2 = -a + q. Solve -4*g + a = -5*h, -4*h + 4 = -g + 2*g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -9*w**2 + 4448*w + 58272. Calculate l(507).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/35*0*2\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*sqrt(68) - ((-2 + sqrt(1088))**2*-4 + sqrt(1088)).\nAnswer: -130*sqrt(17) + 4368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-24))\/(2\/8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2229 = 4*v - 2*i, v - 573 = -5*i. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*f - 8 + 6 + 2 in the form d*f + t and give d.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - 0.28. Let a = 531 + -561. Let o be (-88)\/66*a\/(-32). Put 1\/3, t, o in decreasing order.\nAnswer: 1\/3, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -10\/3*s**3 + 5\/2*s**2 + 1\/6*s**6 - s + 5\/2*s**4 - s**5 + 23. Determine g so that v(g) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.7 + -2.7. Which is the second biggest value? (a) 2 (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -1 + 0*s + s - 4*s + 0*s. Let a be d(-2). Find the third derivative of -r**6 + 6*r**5 - 6*r**a - 3*r**2 wrt r.\nAnswer: -120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8821315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 12*w + 24. Let k be x(-10). Let s = -348 - -354. Calculate the greatest common divisor of s and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**3\/6 + 4*h**2 + h. Let t be p(6). Suppose -3*k = 5*n - 179, k + t*n - 57 = 4. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/((-600)\/190) - (-1)\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -11*h - 3. Suppose g = 5*g + 16. Let x(u) = 8 - 5 + 7*u - u - 1. What is g*w(l) - 7*x(l)?\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1398 + 1763*r + 795*r + 1398.\nAnswer: 2558*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/2)\/(4\/8*20\/(-60))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-6 + 18)) + (107 + -119 - (2 - -8))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, w: 5, y: 2, z: 1}. Give prob of picking 1 z and 1 t.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113.93961 months to centuries.\nAnswer: 0.094949675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2307856.5 rounded to the nearest one hundred?\nAnswer: -2307900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1935 (b) -0.84 (c) 2\/89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, i: 1, p: 2, e: 4, g: 4, t: 6}. Give prob of sequence iegu.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10189 (base 13) to base 14.\nAnswer: a723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(121) - 2*sqrt(121) - sqrt(121) - sqrt(121))\/sqrt(11).\nAnswer: -3*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5614.556t to milligrams.\nAnswer: 5614556000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 + -57. Let r = z + 36. Is 220 - r\/5*5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i**2. Suppose -w = -2*w. Let r(t) be the third derivative of 0 + 0*t + w*t**3 + 0*t**4 + 3*t**2 - 1\/60*t**5. Determine z(r(n)).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2889 - 0.0161. Let q = -0.005 - w. Sort 4, q, 0.014 in decreasing order.\nAnswer: 4, q, 0.014","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*c - 4 = 2, 0 = 4*s + c + 3. Suppose -2*k + s = -2. What is the first derivative of -2 - k + 2*u + u + 0 wrt u?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.7224086 nanograms?\nAnswer: 0.0007224086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, -5, -3.6, -1\/6, 2.7, 0.02.\nAnswer: -5, -3.6, -1\/6, 0.02, 2.7, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**6 - 2048*b**3 + 970*b**2 + b wrt b?\nAnswer: 120*b**3 - 12288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2118063 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1598266?\nAnswer: 2, 823, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a kilogram in grams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44770\/1540 + 2\/(-28).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(187)*-5 + sqrt(187))\/((-1*sqrt(88) + sqrt(88))\/sqrt(8) - sqrt(11)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 124?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 59655 and 5383095?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -0.3 (c) -2\/7 (d) -3 (e) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 4 + -3 - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*(-290)\/(-8555)*-59.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 106 - 93. Suppose 3*l = 15, l = -2*n + v + 54. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*x + 4*i = 240, -79 = -x - i. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -137, 5, -3, 923 in descending order.\nAnswer: 923, 5, 0, -3, -4, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 162.98 - 1.98. Let p = 161.5 - m. Sort -10, -0.3, p in descending order.\nAnswer: p, -0.3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaazgzdaaz. Give prob of picking 1 d, 1 g, and 1 z.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 102, 630, 2044, 4782, 9282, 15982, 25320, 37734?\n\"Answer: 73*p**3 + 5*p**2 + 2*p + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -118, -3, -395 in ascending order.\nAnswer: -395, -118, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*a - 2. Suppose a*b = -3*b + 50. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 36 + -33?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i + 2*i - 4*i + i**4 + (0 - 1 + 2)*(4*i**4 + i**4 + 0*i**4) to r*i**4 + c*i**2 + v + x*i + q*i**3 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -452*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 2*s + 5 = -47, 4*g + 115*s - 106*s - 52 = 0 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -28714?\nAnswer: 14357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n - 10. Let g be d(-3). Let t(p) = 3*p**3 + 14*p**2 - 2*p - 8. Let i(b) = 2*b**3 + 9*b**2 - b - 5. Give g*t(a) - 8*i(a).\nAnswer: -a**3 - 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2111124222 + 2?\nAnswer: -2111124220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1434373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1743*j + 1038*j - 1044*j)*(14*j - 9*j**3 - 14*j).\nAnswer: -15633*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w - w - 8754*w**3 + 8756*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -6600.97859 to zero dps.\nAnswer: -6601","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 5 = -10*v. Let r(b) = 7*b**2 + 3*b + 3. Let g be r(v). What is the highest common factor of g and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 62 = 4*p. Let s be (7 + -2)*p\/20. Let a = 10 + s. Calculate the highest common divisor of a and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 + -16)*(-1)\/(-7)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (80\/(-14) + 6)\/((-144)\/(-21168))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**5 - 40*z**4 + 40*z**3 + 480*z**2 - 720*z.\nAnswer: -5*z*(z - 2)**2*(z + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.3 - 2.3. Let j = t + -3.98. Let w = j + -0.02. Which is the second smallest value? (a) w (b) -19 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 311809431, 311809429, 311809427?\n\"Answer: -2*c + 311809433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 1)*(0*b + 3*b - 2*b) + 4*b - 4*b - 2*b)*(-3 + 5 + 3) + (3 + 3 - 4)*(-2 + 2 + 5*b).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 + 2*n**2 - 77*n**2 + 84*n**2 + 0*n**2.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tatt when four letters picked without replacement from {o: 1, y: 2, a: 2, z: 3, i: 4, t: 3}.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -274, -528, -758, -952, -1098?\n\"Answer: 2*n**3 - 268*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 o when two letters picked without replacement from qqogooq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o - 757 + 285 - 1746 - 18*o**5 + 202*o**2 + 382 - 242*o**2 wrt o.\nAnswer: -360*o**3 - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-5) + 5\/((-200)\/(-19))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 18*b + 33. Give d(-20).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2234363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8406482?\nAnswer: 2, 7, 600463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 784 and 96?\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 2*o**3\/3 - 3*o**2\/2 + o + 2. Let c be b(2). Let x be (36\/10)\/(3\/10). Solve c*z = -2*f + x, 4*z - 8 = f + 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1237*t - 1230*t - 2331. What is the greatest common divisor of 9 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 338 + 142. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 - 4*g**2 + 2*g**2)*(38*g**2 + 3*g**3 + 6*g - 38*g**2).\nAnswer: -12*g**5 - 24*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-11)\/(l\/l**(2\/13)))**(2\/3))**48)**(2\/51) assuming l is positive.\nAnswer: l**(-9856\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -42 + 204\/17?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*w**2 - 21*w**2 - 17*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*m + 25*m = 2. Which is the second biggest value? (a) -4 (b) 2\/21 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -100, -80, -42, 20?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*m + 10. Suppose m*r = -4*b - 12, 5*r - b - 3 = r. Suppose r*x - u = -3*x + 4, 4*x - 18 = -5*u. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5\/4 - 116738*y**4 + 933901*y**3\/4 - 233475*y**2\/2.\nAnswer: y**2*(y - 466950)*(y - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(11) + sqrt(33)\/sqrt(3))*-5)**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2355674505?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 549, -1, 1 in decreasing order.\nAnswer: 549, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 0 - -2) + (-1195 - -1188)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0*1\/(-3))\/2. Suppose -6*a + f*a = -5*a. Which is smaller: a or 1\/10?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h - 35. Let f be t(-17). Let x be f\/5*0\/3. What is the closest to x in 1\/10, -4\/3, -5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 8*m - 2. Let j be i(9). Let h = j + 1. What is the remainder when 31 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fvfjjjtjj. What is prob of picking 3 j?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -13*c**3 + 15*c**2 + 952*c - 4601. Let i(j) = -10*j**3 + 12*j**2 + 952*j - 4600. Let d(l) = 4*b(l) - 5*i(l). What is the derivative of d(f) wrt f?\nAnswer: -6*f**2 - 952","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/15*2\/((-1)\/((-30)\/36))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 11. Suppose 5*z = -x*j + 63 - 13, -3*j + 32 = 5*z. Let a = 61 - -11. What is the greatest common factor of j and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 7*i - 12. Let r = 120 + -114. Calculate y(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 + -6 - 17) + 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.08 + -4.92. What is the smallest value in -3\/7, -6, r?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060746493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 93280 divided by 8480?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**4 + 60*v**3 - 192*v**2 + 176*v = 0. Calculate v.\nAnswer: 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1385833, 1385836, 1385839, 1385842?\nAnswer: 1385845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + (-10 - 17))\/((-6)\/(3 + 3))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 525 and 23457?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40338 and 2158?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 697 = 582494*i - 582511*i for i.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 590 and 826.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -5, 0.1, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 0.5, 7, 20\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 300 - ae3a?\nAnswer: -ab3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -38*m - 103. Let g(r) = 82*r + 193. Give -5*b(y) - 2*g(y).\nAnswer: 26*y + 129","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4208452 is divided by 140281.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-20)*a**20*a*a assuming a is positive.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**24\/r*r)\/(r**(2\/13)\/r))\/((r*(r*r\/r**(3\/29)*r)\/r)\/(r*(r*r**(-2\/23))\/r*r)) assuming r is positive.\nAnswer: r**(224255\/8671)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*m + 24. Solve 0 = -3*d - d + m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/31 and 57\/4.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 308 divided by 2\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 24*l + 5. Give t(24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 4*o - 324, 7*o = -b + 2*o + 119. Suppose 0 = 26*i - 27*i + 3*k + b, i = 4*k + 102. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.878 to 1 dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 3)\/(47\/94*(-8)\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 24\/3211?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 252 = -6*d - u, -4*d + 240 = 4*u. Let i = d - 42. Solve 0*r + 4*r - 3*m = -29, -5*r - m - i = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 11. Let t(r) = -r**2 - 12*r - 4. Let p(f) = -f**2 - 13*f - 4. Let l(w) = c*t(w) + 5*p(w). Suppose -5*q - 2 = 13, 0 = -5*d + 5*q - 10. Give l(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c = -14 - 0. Let k(w) = -20*w**2 + w + 1. Calculate k(c).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-425)\/150 + (-4)\/(-2). Let w = -1 - -1. Which is smaller: w or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -87? (a) 4 (b) 3 (c) -0.05 (d) -5519\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108\/96*(144\/6)\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 + 35. Suppose i*h = h + 3*j + 1, -5*j = h - 7. What is the third derivative of 2*l**2 + l**2 - 29*l**5 + 4*l**5 + 2*l**h wrt l?\nAnswer: -1500*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -4. Suppose 11 - 1 = 2*o. Suppose 0*g - 2*v = o*g - 31, 4*v - 37 = -5*g. Calculate the greatest common divisor of g and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -0.8182127.\nAnswer: 0.32728508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -512038.6 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 57428\/(-9) + (-230)\/207. What is b rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 325 in decreasing order.\nAnswer: 325, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 2, -5, -3 in decreasing order.\nAnswer: 4, 3, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o + 5. Let v(z) = 14*z + 16. Let l(t) = -4*v(t) + 11*y(t). Let p be l(-15). Solve 0 = -p*i + i - 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/(-21))\/4 - 22\/(56056\/(-2380)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 100*w + 650. What is the remainder when z(-6) is divided by 22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50732*f**2 - 50732*f**2 + 25 + 11*f**3 + 152*f wrt f.\nAnswer: 33*f**2 + 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 361130 to the power of 1\/2, to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-25))\/(-1 + (-17628)\/(-17620)). Let u = -3467\/10 - y. Find the common denominator of u and (-2)\/(-4) + (-216)\/(-28).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**3 - 5*o**2 - 11*o - 22. Let s be t(-4). Suppose -177 - 5*h**3 - 36*h**2 + 11*h**2 + s - 15*h + 88 = 0. What is h?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 10100000100101?\nAnswer: -10100000100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 516, 1051, 1600, 2169, 2764, 3391, 4056?\n\"Answer: s**3 + s**2 + 525*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(42\/8)*(-1695)\/452)\/1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 42, 88, 134, 180, 226?\n\"Answer: 46*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 8*s**2 + 7*s - 28. What is the units digit of j(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -254160 - -254180.9573. Let q = i - -0.0427. Which is the nearest to 0? (a) -2\/13 (b) q (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 2*l + (4 + 5 - 4)*(11*l + 52 - 52) as d*l + b and give d.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14950 - -6905. What are the prime factors of t?\nAnswer: 3, 5, 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l\/(l\/((l\/(l*l*((l\/(l**(2\/39)\/l*l)*l)\/l)\/l))\/l)))\/l)\/l*l)\/l)\/((l**22*l)\/l) assuming l is positive.\nAnswer: l**(-1012\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*m**3 + 9*m**2 - 8 - 6*m**3 + 10*m**2 + 0*m**2 - 18*m**2 in the form a*m**2 + q*m + r + v*m**3 and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, r: 2, b: 7, c: 1, s: 4}. What is prob of sequence ss?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 259816 and 6.\nAnswer: 779448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 267680 - 267678. Let 1\/4*w**4 - w**b + 1\/4*w**5 + 0 + 0*w - w**3 = 0. Calculate w.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*q = -122*q + 64 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x + 13. Let w be j(-13). Suppose w = 2*f + f + 12, 4*f = -2*h - 8. Which is smaller: h or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**3 + 2*n**2 + n - 2. Suppose -3*y = 3*z - z + 37, -91 = 5*y - 4*z. Let u = 13 + y. Let f(r) = 4*r**3 + 3*r**2 + r - 3. Determine u*f(i) + 3*o(i).\nAnswer: i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16067917 and -31.\nAnswer: -498105427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 795861 and 72688638?\nAnswer: 218065914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54227894 and 7924.\nAnswer: 3962","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 8*s - 7. Let f(o) = -o**3 - 5*o**2 + 17*o + 67. Let m be f(-6). Let b be a(m). Solve -w - b = p, 4*w - p = -2*p + 8 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4592 + 4588 - 6*a**3 - 4*a**4 - a**3 + (0*a**2 + 3*a**2 - a**2)*(-3*a + 3*a - a**2) + 2*a**4 - 2*a**4 + a**4.\nAnswer: -5*a**4 - 7*a**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*q - 242*q + 17430 = -116*q - 191*q for q.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -358*x**2 + 720*x**2 + 0*x - 365*x**2 + 0*x.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 2:27 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (228\/(-646))\/(264\/(-52360)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59363 is divided by 306?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**5 - 254*i**4 + 3860*i**3 + 26400*i**2 - 4032*i - 124416 = 0.\nAnswer: -4, -3, 2, 24, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -22 + 20 - (54 + -4 + -1 + 2)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -323, -3686, -7049, -10412, -13775?\n\"Answer: -3363*z + 3040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 251, 0, 0.3, -4, -4\/7 in decreasing order.\nAnswer: 251, 0.3, 0, -4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 115 - 1390*b + 241*b**3 + 1390*b + 215 wrt b?\nAnswer: 723*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 32*v**2 - v + 2. Let h be q(1). Let p be h\/9 + -3 + 65\/15. Find the third derivative of 0*k**2 + 43*k**p + 2*k**2 + 13*k**2 - 36*k**5 wrt k.\nAnswer: 420*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.2 (c) -2 (d) 2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (0 - 3) - 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -926, -3744, -8438, -15008, -23454, -33776?\n\"Answer: -938*j**2 - 4*j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y - 6*y**3 + y - 68*y**3.\nAnswer: -74*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0029305 rounded to four decimal places?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2 = -3. Let i be x + 1 - (-110 + -5). Suppose -4*y = 2*b - 88, y = -b - 2*b + i. Calculate the remainder when b is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -148 + 285. List the prime factors of t.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2 + 9*i - 1. Let n be z(4). Suppose 178 - 58 = n*m. Which is smaller: 41 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*j - 14 + 3, -2*j + 9 = 5*t. Suppose 4*r - 37 - j = 0. Suppose -8*z + r - 51 = 0. Let o(l) = 2*l + 1. Give o(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 53\/5 of a microsecond?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/m**(-1\/3))\/(m*m\/(m*m**(-6\/7))*m*m))\/(m**(-5\/7)\/(m**(-2\/3)\/m*m)))**0 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 241092037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**0\/m*m)**(-22)*m**(-9)\/m**(-1\/9))**44)**46 assuming m is positive.\nAnswer: m**(-562672\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b**3*j*s + b**2*j*s - 119*b*j + 92*j*s + 4*s wrt b.\nAnswer: 6*b**2*j*s + 2*b*j*s - 119*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) -1\/2 (b) -6659\/5 (c) 2\/5 (d) 0 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 108*r**5 + 10*r**3 - 5530*r wrt r.\nAnswer: 2160*r**3 + 60*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 319 and 3799?\nAnswer: 41789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + g)*(182 - 182 - 2*g) + (2*g + 1 - 1)*(0 + 0 + 2*g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(126\/(-7))*45\/(-5)*(-65)\/5.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 225, 246, 281, 330, 393, 470, 561?\nAnswer: 666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -8. Suppose -o*g = -0*g. Let r be (-1 - -3) + -2*1. Solve 4*a + g*a = r for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29240972 or 29240946?\nAnswer: 29240946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-12)\/(-42) + (-906)\/(-112) and -3\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 19, 2 in ascending order.\nAnswer: -5, 2, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.4 - 0.6. Let f = 0.37 + 41.13. Let d = f + -41. Is d less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, r: 3, l: 3}. Give prob of picking 1 r and 1 c.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 8:55 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 426698.6l in millilitres?\nAnswer: 426698600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 171 and 380?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2204.92*-11.6.\nAnswer: -25577.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -j**4\/4 - j**3\/6 - 366*j. Let a(z) = z**2 - 3. Let v(s) = 3*s**2 - 5. Let b(i) = -5*a(i) + 3*v(i). Give q(b(o)).\nAnswer: -48*o**4 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/5)\/k**(-5))\/((k*k*k**(1\/3)*k)\/(k**(-2)*k))*(k**(-4)\/k**(4\/5))\/(k**1\/k*k)**(6\/11) assuming k is positive.\nAnswer: k**(-706\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i**3 - 15*i**2 - 9*i - 49. Let f be j(-4). Let n(l) = -l + 1. Let p be n(1). Factor 0*o**2 + 0 - o**f + p*o - 3\/2*o**4 - 1\/2*o**5.\nAnswer: -o**3*(o + 1)*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 1 + 1)*(50*o**3 - 17*o**4 - 50*o**3).\nAnswer: 34*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -48*a**2*k + 2*a**2 + 2*a*k - 17*k wrt a.\nAnswer: -96*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**5\/8 - 85*o**4\/4 + 1653*o**3\/2 - 12119*o**2 + 73180*o - 146400 = 0.\nAnswer: 4, 10, 24, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -77 + -3?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 356234, 356276, 356318?\n\"Answer: 42*w + 356192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 1 + (-2787)\/27. Let f = -101 - r. Let q(n) = -n**3 - 8*n**2 - 13*n - 4. Let a be q(-6). What is the nearest to -0.1 in f, -0.4, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*j - 5 = 0, -56 = -5*c + 5*j - 6. Let m(q) = -q - 10. Let x be m(-9). Sort -4, 3, c, x.\nAnswer: -4, x, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 1.4 (c) 3 (d) -6.62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-2))\/(66\/132).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 2 - 2)*(-12*u**3 + 0*u**3 - 15*u**3) + 3*u**3 - 3*u**3 + 2*u**4 + (-2*u - 1 + 1)*(1 - 2*u**3 - 1) - 3*u**2 + 3*u**2 + u**4 + 3*u - 2*u**4 - 3*u.\nAnswer: -76*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 138 = 94. Let g(d) = -58 + 2*d + i. Let t(v) = 35*v. Calculate g(t(c)).\nAnswer: 70*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -198*18.78\nAnswer: -3718.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 19, -3, 1 in descending order.\nAnswer: 19, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/17)\/a)\/((a\/a**10)\/a))\/(a**(4\/3)\/(a\/a**(-2\/33))) assuming a is positive.\nAnswer: a**(1654\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15564 + -15616. Suppose 2*x = -2*x - 44. Let g = x - n. Calculate the greatest common factor of g and 451.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -8*u + 1. What is the remainder when 22 is divided by z(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/((m**(3\/8)\/m)\/m*m))*m\/(m*m\/((m\/m**(-1\/3)*m)\/m*m)*m)*m*(m*m**(-2\/7)*m)\/m*m**(1\/4) assuming m is positive.\nAnswer: m**(281\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 16 = -2*u, 0 = -5*h + u + 96 - 107. Sort 3, 5, 11, h, 17 in decreasing order.\nAnswer: 17, 11, 5, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 153 - 25. Calculate the remainder when 3\/(-2)*t\/(-12) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/4)\/((-12)\/(-32)). Suppose 3*r = -m + s, 5*r - 4*m = 16 + 19. Let x be r*(-3)\/((-6)\/2). Is 4 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -n + 9 + 1, n = 5*a + 10. Solve n*v + 30 = 4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 11*k + 1. Let j be f(6). Suppose -j = 5*d - 17. Let r = -4 - d. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1233108, 2466224, 3699340, 4932456, 6165572?\nAnswer: 7398688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 31041869 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 9404 - 9404 + 41*v. Let z(d) = -3*d. Determine z(g(x)).\nAnswer: -123*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -5*m - 17, -11*j + 10*j - 4*m = 17 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 86\/4455 and 1\/990?\nAnswer: 8910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -66164?\nAnswer: 66162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**6\/120 + 3*q**5\/80 - q**4\/48 - q**3\/8 + q**2\/4 - q. Determine r, given that g(r) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**3\/4 - 5*m**2\/2 - 255*m\/4 - 135 = 0. What is m?\nAnswer: -4, -3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -3*c, 5*d = -2*c + 10. Suppose -4*r + d*r = 5*k - 1, -k - 3*r = -8. Which is bigger: -15\/11 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dov when three letters picked without replacement from {w: 1, o: 6, m: 1, l: 1, v: 3, d: 1}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -6. Suppose 0 = -h*q + 3*u + 179, 2*q - u = -q + 138. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -10*g - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -135 and -1.04964?\nAnswer: 133.95036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + (-4 + -5 + 2*sqrt(475) + -1)**2) + 1.\nAnswer: -200*sqrt(19) + 2006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 477823 by -4.\nAnswer: -477823\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 6*z**3 + 20*z**2 + 128*z - 137. Determine q(8).\nAnswer: 5239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in -9, -2\/7, 1, -60, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -1, -3 in ascending order.\nAnswer: -4, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(2\/33)*h*h*h*h**(-1\/9)*h*h*((h**(-13)*h)\/h)\/(h**15*h) assuming h is positive.\nAnswer: h**(-2282\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 402317303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzjpjejjzpke. Give prob of picking 1 j and 1 z.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**5 + 6*c**4 - 4*c**3 - 6*c**2 + 5*c = 0. Calculate c.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 - 28 = -59*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 18 = 3*u. Suppose u*t - 57 = 3. What is the highest common divisor of t and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 22 = -4*w, -5*s = -w + 6*w + 80. Put 2, s, -3, -1 in descending order.\nAnswer: 2, -1, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33765974 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*n**2 - 30 + 124*n**2 + 30 - 3495*n.\nAnswer: 18*n**2 - 3495*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -303 + 310 - ((0 - 0) + -2 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 + 32. Let d(i) = i**3 - 4*i**2 + 3*i - 5. What is d(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 333 and 68193.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by -13299339.\nAnswer: 20\/13299339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17.72 - -0.28. Let d = v - 18.2. Sort d, -2\/33, 2 in ascending order.\nAnswer: d, -2\/33, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 832 and 256.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 18*m - 14. Let c be q(1). Suppose c*x + 79 = 271. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 18. Let n = 8.8 - x. Which is the third smallest value? (a) n (b) 10 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-4)*(79 - -3). Suppose 17 = 2*s - k. Let p = 43 - s. List the prime factors of p.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 103*s**5 + 41*s**2 - 7*s**5 - 10*s**2 - 39 + 41 wrt s.\nAnswer: 5760*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18716241781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 5 (b) 29 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -42832c (base 13) to base 10\nAnswer: -1560415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44852*t**2 - 44907*t**2 + 89762*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11924 smaller than 12025?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 9.96 (b) 1\/5652 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**5\/5 - 18*b**4 + 172*b**3\/5 + 4*b**2\/5 - 174*b\/5 + 86\/5 = 0.\nAnswer: -1, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -13. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 46.63236 millilitres?\nAnswer: 0.04663236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wdwghjjb. Give prob of sequence bww.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14010551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000260797 rounded to 7 dps?\nAnswer: -0.0000261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51621, -103240, -154859, -206478?\nAnswer: -258097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 181395*i**5 + 320*i**3 + 240209277*i**2.\nAnswer: 10883700*i**2 + 1920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.0467 times -25\nAnswer: -1.1675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(10)*-1) + 4.\nAnswer: -sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 30, -3 in decreasing order.\nAnswer: 30, 5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five sevenths of a week in days?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002732 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1225, 1200, 1175, 1150, 1125?\n\"Answer: -25*q + 1250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3 - 447\/(0 + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/3, 315, -0.02, 0.4, -4, 5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y*(y*y**(-2)*y)\/y)\/y*y))\/y*y)**(-7)\/((y**(-37)\/y*y)\/(y\/y**(20\/9))) assuming y is positive.\nAnswer: y**(259\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 834, 1553, 2284, 3027?\n\"Answer: 6*w**2 + 701*w + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1087, 1371, 1655?\n\"Answer: 284*h + 803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 768671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 equal to 243506?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -62431368 times -1\nAnswer: 62431368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/5 + 146*g + 8700.\nAnswer: 2*(g + 75)*(g + 290)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 408913.4 to the nearest ten thousand.\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 97095841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/1243 and 32\/1057115.\nAnswer: 11628265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 9. Let o = 5 - 6.8. Let s = -1.6 - o. Sort r, -17, s in ascending order.\nAnswer: -17, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6*r**3 - r. Let i be u(1). Let y be -4 + 3*96\/18. Suppose -i*o = -33 - y. Solve -3 = -4*q + o for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 35 + 29 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 7*c = 48. Let x be 43\/9 - c\/(-36). Suppose -m = -5*m - t + 147, 0 = 2*m - x*t - 79. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 101968\nAnswer: 611808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {f: 6, a: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 12*b**3 + 61*b**2 + 50*b + 224. Give a(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49504 is divided by 765?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, 2\/5, 3\/2, -3, 87?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1310 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 - 1096400*y + 2192780.\nAnswer: 5*(y - 219278)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -101 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32.6 - -33. What is the nearest to 0.2 in 4, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -189*c - 11028. Give h(-58).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14\/4)\/(459\/114 - 4). Suppose -2*y = -z - 101. Calculate the highest common factor of y and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175677276?\nAnswer: 2, 3, 14639773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 - 10010001000?\nAnswer: -10010011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 5*p - 4 - 6*p - 8*p**2 + 7*p**2. Calculate x(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -586, -652, -718, -784?\nAnswer: -850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/95692 and -95\/2?\nAnswer: 95692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -129979057 or -129979054?\nAnswer: -129979054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -36, -4.7, 1.4, -2?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 46.3, -2\/7, 0.5, 4, -3, -2842?\nAnswer: -2842","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30650 is divided by 30627?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10b (base 13) to base 7\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-1558)\/(-8)*(-172)\/1634?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1527074592 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35 - 29 - 2*u**5 - 7*u - u**5 + 6*u - 5*u**3 - 19 wrt u?\nAnswer: -60*u**3 - 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4444333 bigger than -17777331\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/t**(-3\/2)*t**(-30)*t*t assuming t is positive.\nAnswer: t**(-49\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4 = -4*y, -3*y + 15 = 501*r - 504*r. Put 24, y, 14 in ascending order.\nAnswer: y, 14, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 710, -0.39, -1, -1\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**2 - 50*l - 91. Let y(a) = -2*a**2 - 33*a - 61. Let d(z) = 5*k(z) - 8*y(z). List the prime factors of d(-17).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -c - 2*r - 58, 24 = c + 4*r. Let f be (-8)\/c + 43\/28. Let s = -1 + f. Which is smaller: s or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (185\/25 - 7)*-600. Let b = v + 625. Calculate the greatest common factor of 70 and b.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20896980 divided by 23855.\nAnswer: -876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 153 or 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519748 is divided by 70.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -192*i - 3*i**3 + 67*i**2 + 288 + 0*i**3 - 25*i**2.\nAnswer: -3*(i - 6)*(i - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 1, -0.1, 6\/151, -0.3214, 3?\nAnswer: -0.3214","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -52, -107, -196, -331, -524, -787, -1132?\nAnswer: -1571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-1*sqrt(200))\/(sqrt(70)\/(sqrt(21)\/sqrt(3)) - sqrt(10) - sqrt(10)))\/((2*sqrt(3200))\/(sqrt(800) - -2*sqrt(800) - sqrt(800))).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -2.6. Let t(i) = 7*i - 9. Let f be t(2). Suppose 3*n - 4*n = 0. Which is the nearest to n? (a) f (b) z (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 38, -0.4 in decreasing order.\nAnswer: 38, 5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -57. Let x = 3 - y. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.43 to the nearest integer.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00250642509 to seven decimal places.\nAnswer: 0.0025064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-162)\/(-182) - (-33)\/(-77). Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 n when two letters picked without replacement from lvvvnnsnnvnnvvvnvv?\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*f - 34*f - c = 4, -26 = 3*f + 5*c. Solve 0 = -5*p + f*p + 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f + f - 45 - 3*f + 30. Let z be k(-7). Let g be 26\/(-2 + (-48)\/(-20)). Calculate the highest common factor of g and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21091548 bigger than -21091549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 1 - 8*n - 1. Let m(h) be the second derivative of -h**3\/6 + h - 5. Determine i(m(o)).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 10*m + 173. Let n be w(-17). What is the second derivative of -1159*a**3 + 1155*a**n - 7*a**4 - 3*a + 4*a + 17 wrt a?\nAnswer: -84*a**2 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 29*v**2 + 256*v + 368. Determine c(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**4 - 3 + 5 + 2*n**4 + 4*n**4 - n**4 - 4*n**4 + (0*n**3 + n**3 - 3*n**3)*(1 - 1 - n).\nAnswer: 3*n**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1 + 2 - 3 + 5*m**3 - 4*m**2 wrt m.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05135232799 rounded to six dps?\nAnswer: -0.051352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)*x)**(-1\/6)*(x\/(x**5\/x))\/((x**(-2\/5)*x)\/x) assuming x is positive.\nAnswer: x**(-34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 496 and 775?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -1. Let n(w) = -w - 25. Suppose 15*r = -c - 0*c - 89, -c + 3*r + 19 = 0. Determine c*n(v) - 5*i(v).\nAnswer: -v - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*j**2 - 2 + 423*j**2 - 211*j**2 + 2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 4*l**3\/3 + l**2\/2 - 2*l + 11. Let z(w) = 3*w**2 + w - 1. Give 2*c(j) - 3*z(j).\nAnswer: -j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 29*g**3 + 30*g**2 - 5*g - 5. What is i(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 = -h + 5*y, -5*h + 4*y - 5*y + 1430 = 0. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxqzy. What is prob of picking 1 q and 1 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/5))**14\/(y**(-3)\/(y*y\/(y**(-13)\/y))) assuming y is positive.\nAnswer: y**(67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ob when two letters picked without replacement from {b: 2, d: 1, o: 1, u: 2, a: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -591 - -590.599. Let o = h - -0.208. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278*s + 275*s + 189 = 0. Find the third derivative of s*w**5 + 16*w**2 - 337*w**5 - 1 - 10*w**2 + 3 wrt w.\nAnswer: -16440*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63, -127, -195, -267?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -6. Let q = 4.2 - r. Which is greater: q or -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34972 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11)\/44 + ((-47)\/(-4))\/(-1). Does 6 divide (-675)\/10*(0 + g\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 82*i**2 + 547*i - 1670. Let y be j(88). Determine r so that -243\/8 - 3\/8*r**y + 27\/4*r = 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 442863 and 58977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 34.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 454754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k - 3. Suppose -3*h = -8*h - 15. Let s(m) = 2*m - 1. Let t be s(h). What are the prime factors of y(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5375*o - 6 = 5373*o, o + 42 = -3*y for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127154622*k**2*u + 202671875*k*u wrt k?\nAnswer: 254309244*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-224)\/24*54\/(-7). Suppose q = -6*a - 3*a. Let m be (a\/6)\/(6\/18). Is m smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 43740?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/70)\/(5\/7).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 12*v**3 + 6*v**2 - 3. Let t be z(2). Calculate the highest common divisor of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 5*f - 2*f. Let d = 2 + f. Is d smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 10*d + 780 = 0. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10\/61 + 2878\/305. Calculate the common denominator of o and ((-6)\/15)\/(1\/(-22)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/100 and 87\/27680.\nAnswer: 138400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 7 (c) 2 (d) -0.5 (e) -0.1 (f) 9893\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1287707, -2575405, -3863103, -5150801, -6438499, -7726197?\n\"Answer: -1287698*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669596 is divided by 134.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 17 = q, -q - 4*q = -3*i + 11. Suppose 0 = 16*w - i*w. Find the first derivative of w*d**3 + 2*d**3 - 4*d**3 - 13*d**3 - 11 wrt d.\nAnswer: -45*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i + 78*i**2 - i + 13*i + 6*i.\nAnswer: 78*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 6:55 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 + -34. Solve -3*y = t + 16, 3*t - j*y + 18 = -5*y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6103 - -2222?\nAnswer: -3551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 + 2*o + 8. Let p be g(4). Suppose 7*h - p = -76. Sort h, 1, 0.1 in decreasing order.\nAnswer: 1, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {d: 11, w: 2, m: 1, k: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -47001, -94012, -141059, -188166, -235357, -282656, -330087?\n\"Answer: -4*p**3 + 6*p**2 - 47001*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22213 (base 4) to base 11.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/27)\/(5\/(-6)). Let u = -4 - -4. Suppose u = -2*q - 0*q. Which is greater: q or i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 9*k**3 + k**2. Suppose 0 = 2*j - s + 4*s + 11, 4*s = -j - 13. What is n(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*k + 2*k + 5*k)*(4*k**3 + 0*k**3 - 3*k**3) + 2*k + 0*k**4 + 0*k**4 + 2*k**4 to a*k**3 + t + f*k**4 + s*k + y*k**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1908 greater than or equal to -1908?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -13. Suppose -2*h - 3*i - 2 = 0, 3*h = i - a*i + 8. Sort 4, h, 1 in decreasing order.\nAnswer: 4, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * 22.7\nAnswer: -1.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(1008) + 1 + sqrt(1008))**2 + (sqrt(1008) + sqrt(1008) + 1 + -4)**2 + sqrt(1008) + ((sqrt(616)\/sqrt(99))\/sqrt(8))**2*-1.\nAnswer: -72529\/9 - 276*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/13584 and 7\/1306848?\nAnswer: 369837984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39383434279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6416, -25346, -57020, -101540, -159008, -229526?\n\"Answer: -17*m**3 - 6270*m**2 - m - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -13*u**3 + 3*u**2 - 7*u - 14. Let k(b) = 11*b**3 - 2*b**2 + 6*b + 13. Calculate -4*h(m) - 5*k(m).\nAnswer: -3*m**3 - 2*m**2 - 2*m - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 256608?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**2 - 32*y - 48. Let u be w(-14). Let b(i) = -11*i**3 - 2*i**2 + 10*i + 10. Let l be b(u). What is l rounded to the nearest 100?\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1357, 6, -4, 0.3, 5, -2, 0.14?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = 4*a + 160. Let p be 294\/a*(0 - 9). Calculate the greatest common divisor of p and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3)*(5*k + 2*k - 1 + k).\nAnswer: 8*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 3*r = 1, 35 = -2*t + 4*r + 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 9:25 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n + 2. Let k(l) = -6*l - 3. Let v(q) = -3*k(q) - 4*w(q). Suppose 3*u = -2*y - 11, 0 = 2*u - 4*y - 5 - 9. Calculate v(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**3 + 2*x**3 - x**3 + (0 - 2*x + 0)*(-3 - 1 + 1)*(-2*x**2 + x**2 + 0*x**2).\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 197255.\nAnswer: 986275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1192 + 888 = 13*t - 5*t for t.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 4:13 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 485 (base 10) to base 3.\nAnswer: 122222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001051638 rounded to 7 decimal places?\nAnswer: 0.0001052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 plus 57602449.17?\nAnswer: 57602418.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.2 and 1075.1?\nAnswer: -1290.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -600*d**2 - 91. Let g(k) = k. Determine f(g(y)).\nAnswer: -600*y**2 - 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6784*k**3*l**2*v**2 - 3*k**3*l**2 - 180*k**2*l**2*v**2 + 6*k**2*v**2 - 7*k*l**2 + k*l - k*v**2 wrt k?\nAnswer: 40704*l**2*v**2 - 18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/200*40 - (-7 - 670\/(-100)).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a kilometer in meters?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-84)\/(-28) - (-1 + 0)*0. Find the first derivative of 2*t**m + 80 + 1495*t**4 - 1587*t**4 - 2*t**3 wrt t.\nAnswer: -368*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -7*g**2 - 7*g - 15. Let k(j) = 2*j. Determine -4*k(q) - t(q).\nAnswer: 7*q**2 - q + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n**3 + 10*n**2 - 11*n - 18. Let f(x) = -x**3 + x + 1. Let w(l) = -6*f(l) - o(l). Let d be (12 - 2) + (-16)\/4. What is the units digit of w(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7240.645138 rounded to the nearest 100?\nAnswer: -7200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1925?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -460654*s. Let r(d) = 2*d. Determine r(m(q)).\nAnswer: -921308*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = r - 5*a - 8, -4*r + a + 252 = 0. Solve -r*s - 79 - 49 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 138.4 - 138. Which is the nearest to -2? (a) t (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 85113 + -85113.0000057543. Round h to 7 decimal places.\nAnswer: -0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19b7 (base 13) to base 3.\nAnswer: 12022021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1120888?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 10*n**2 - 11*n + 27. Let y(k) = -9*k**2 + 12*k - 27. Suppose -3*b + 21 + 12 = -5*h, 2*h = -6. Let j(l) = b*u(l) + 7*y(l). Factor j(p).\nAnswer: -3*(p - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-26*m**2 + 55*m**2 - 17*m**2)*(-36*m**2 - 10*m**2 - 20*m**2) to the form g*m + n*m**3 + k + w*m**2 + p*m**4 and give p.\nAnswer: -792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 9*z = 20. Let f(k) = 4*k - 2 - 7*k**2 + 0*k**3 + k**3 + 2*k**2. Calculate f(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53 + 55. Suppose 4*v - 16 = 0, -4*v + 316 = w*d - 2*v. List the prime factors of d.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 79*u**2 - 286*u**2 + 90*u**2 + 83*u**2. Let p(a) = -37*a**2. Calculate p(v(s)).\nAnswer: -42772*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llnlnssn. Give prob of sequence lsln.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*c - 15. Let y = -1096 - -1100. Suppose 4\/3*h**c + 8\/3 + 8\/3*h - 10*h**2 + 10\/3*h**y = 0. Calculate h.\nAnswer: -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*b - 128*b**2 + 14*b - 124*b**2 in the form c*b**2 + k + n*b and give c.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 79*d**2 + 82*d + 316. Let o be v(-78). Which is the third smallest value? (a) -4 (b) 3.2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*y**2 - 18*y**2 + 0*y**3 + 3*y**3 - 20*y**2.\nAnswer: 3*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.4, -44\/3, -8.\nAnswer: -44\/3, -8, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((c - 4*c + c)*(1 - 1 - 2*c) - 9*c**2 + 2*c**2 + 9*c**2)*(1 - 1 - c).\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**5 - 2 + 2 + 6*k**5 + 0*k**3 + 0*k**3 + (-3*k**3 + 3*k**3 - 3*k**3)*(1 - 1 + k**2))*(5 + 6 - 6).\nAnswer: 5*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11220011 - -1201101?\nAnswer: 20121112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 8*c + 26. Let a(u) = -2*u + 2. Give 2*a(q) - v(q).\nAnswer: -12*q - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d**3 + 26*d**2 - 16*d - 10. Suppose 2*v + 2*m - 62 = -72, -5*m = -5*v - 45. Calculate c(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 76, 187, 298, 409, 520, 631?\n\"Answer: 111*a - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66240 (base 11) to base 13.\nAnswer: -34999","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6 - (-88)\/12)*(-417)\/(-2)?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 4*h + 0*h)*(-2*h - 4 + 4) + 187*h**2 - 213*h**2 - 126*h**2 + 1.\nAnswer: -150*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 494242 and 422002?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 33*k = -36*k + 27, p - 7 = k. Solve 5*u = -4*c + 2, -c + 8*u - p = 6*u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**3 + 10*u**2 + 29*u - 15. Let k(f) = -f**3 + 5*f**2 + 14*f - 7. Let o(p) = 5*k(p) - 2*r(p). Is 3 a factor of o(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.101 plus 1.52?\nAnswer: 1.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 44?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -23200000 to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*10\/(-45))\/(3\/(891\/(-11)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -327 + 4961*w + 6762 + 1159*w + 2407 wrt w?\nAnswer: 6120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*p - 7*p + 9*p.\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + g - r - 5, 0 = 2*g + 4*r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/(-6))\/(4 + -1 + -2). Solve 3*x - 22 = -2*b - o*b, 3*b = 6 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 94, 0, 6, 14, 4 in ascending order.\nAnswer: 0, 4, 6, 14, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1360246099.\nAnswer: 1360246099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79 - -89. Solve 5*x + q = 5*p, 3 = -2*p - 3*x - 13 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -7, 13\/4?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 208.6 + -100627.\nAnswer: -100418.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -85d + -1?\nAnswer: -860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3261820 (base 11) in base 5?\nAnswer: 2431230302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -148 + 145. Let u(c) = c - 4*c**2 - 3*c - c**3 + 5 - 2. Give u(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11349.2 + -29303.\nAnswer: -17953.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.853 rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3679747\/490 - -112646\/15. Calculate the common denominator of a and -59\/588.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 7. Let k be z(5). Let t(l) = 0*l**2 - 3*l**3 + l**3 - 6 - 5*l**k - 6*l + 1. Is t(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37954 + 58717. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4465 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 21*d**2 - 23*d + 63. Let y = -315 + 335. Let a be h(y). Solve -3*u - 15 = 0, 0 = 5*n - 0*n - a*u + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 6*p - 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121.091036179083 - -0.3.\nAnswer: -120.791036179083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4738 - -4743. Which is the fifth biggest value? (a) 2 (b) -3 (c) u (d) -0.3 (e) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -15. Find the third derivative of 7*k**2 + k**2 - k**6 + 2*k**6 + 6*k**p wrt k.\nAnswer: 840*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2581350196.\nAnswer: 2, 645337549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l - 6. Let i be x(2). Let o = -17 - i. Sort 2, o, -2.\nAnswer: o, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2430, 1740, 582, -1044, -3138, -5700?\nAnswer: -8730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3606 > -191158\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m**(2\/13)*m)*m)*m*(m**(-1)\/m*m)\/m*(m*m**(-2)\/m)\/m**(-1\/3))\/(m\/(m\/m**5)*m\/(m*m**(-6))*m**(-1)*m**(3\/2)) assuming m is positive.\nAnswer: m**(-1093\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 4*b - 1. Let d(i) = 3*i**3 + 82*i**2 + 23*i + 26. Let a(f) = d(f) - 5*q(f). What is the second derivative of a(x) wrt x?\nAnswer: 18*x + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208 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: How many minutes are there between 1:44 AM and 4:40 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5184401?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/(-25)*-2*1\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/364129 or -1?\nAnswer: -2\/364129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.5919 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -14. Let r be (-6)\/((-4)\/g) + -3497. Let q be (-8)\/(0 + (-1)\/r). What is q rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/3))**(-1\/2))**(-25)\/(((s**(-3\/5)\/s)\/s)\/s**(-3\/5))**37 assuming s is positive.\nAnswer: s**(419\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 0*d**4 - 1\/20*d**5 - 5*d + 0 + 0*d**3 - 6*d**2. Let o(y) = y**3 - y**2 - y + 1. Let s be o(1). Give v(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0*z + 6. Let p = -5419\/2 + 2708. What is the closest to -0.02 in p, 0, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-5) - (-15 + ((-516)\/(-20) - 11)). Solve -4*t = -i*q - 1, 12*q = 16*q + 2*t + 16 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 + 38. Let f(d) = 10*d + 2 + y - 11*d. What is the smallest common multiple of f(1) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2. Let n(t) = 5*t - 7. Suppose 4*m - a = 8, -4*m = -3*m + 2*a - 11. Let z be n(m). Suppose z*r + 8 = 6*r. What is o(r)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2714*y**3 - y + y - 848*y**2 - 724*y**2 - 2713*y**3.\nAnswer: y**3 - 1572*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -56, -80, -102, -122, -140?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 3*z**2 + z + 167. Let f(k) = -k. Determine -5*f(g) - j(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2184*q - 8432*q + 0*q**2 + 9*q**2 - 3238*q.\nAnswer: 9*q**2 - 9486*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 11*v**3 - 2*v**2 + 5*v - 7. What is the remainder when 262 is divided by o(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -72 - -126. Suppose 0 = -4*o + 2*o + k. What is the second derivative of 27 - 3*m - o - 4*m**3 wrt m?\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/6 and 59\/3141184?\nAnswer: 9423552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/756 and -107\/275100.\nAnswer: 2475900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126, 167, 240, 351, 506, 711?\nAnswer: 972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7532303*b**4 - 2061640*b**2 - 3*b wrt b.\nAnswer: -180775272*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 q when three letters picked without replacement from pppppqpppppqppqppppp?\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65 - 22*s + 62*s - 20*s - 58 - 18*s + 5*s**4 + 2*s**2 to t*s + q*s**3 + l*s**2 + k*s**4 + p and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33277691087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 11*d**2 - 12*d + 6. Let q be l(12). Let o(s) = 15*s**2 - 4*s**2 - q*s**2. Let u(t) = 7*t. Give u(o(h)).\nAnswer: 35*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 5254 and 42029\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -891 - -894. Let s = -0.19 - 0.03. Which is the second biggest value? (a) -1\/6 (b) 4 (c) p (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that r**3\/6 + 35*r**2\/6 + 98*r\/3 - 90 = 0.\nAnswer: -27, -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 6*s**2 + 8*s + 4. Let n be i(7). Let q = 44 + -21. Let g = q - n. Solve x = y + 2*x, 4*x = -y + g for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -5 (c) -1\/2 (d) 322\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 13*f**2 + 5*f + 2. Let i(c) = -754*c**2 - 744*c**2 + 2255*c**2 - 751*c**2 + 1 + 2*c. Determine 9*i(a) - 4*z(a).\nAnswer: 2*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.6 + 0.2. Which is the second smallest value? (a) 0.2 (b) 2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*r + 0*r - 2*r)*(-9*r + r - 2*r + 1)*(553 + 1145 - 34) as t + z*r + s*r**2 and give s.\nAnswer: -33280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1893148?\nAnswer: 2, 473287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**25\/w**(4\/3)*(w**(-12))**42 assuming w is positive.\nAnswer: w**(-1441\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(612)*5 + -5)**2.\nAnswer: -600*sqrt(17) + 61225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2. Let c(t) = 6*t. Let h(i) be the second derivative of -i**3\/3 + 41*i. Suppose 4*o - 30 - 2 = 0. Let p(q) = o*h(q) + 3*c(q). Calculate g(p(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10655604, 42622390, 95900366, 170489532, 266389888?\n\"Answer: 10655595*m**2 + m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25599843*t**2*w**3 + 4*t*w**3 - 126*t*w - w**2 - 2*w - 467 wrt t.\nAnswer: 51199686*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -1, 2, 5, 8, 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*j = 3*z + 99*j - 6857, 4*z + j = 9158. Is 21 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 20*s + 52. Let o be i(-21). Suppose 91 = 5*u + o. Suppose -9*a + 33 = -u. Calculate the lowest common multiple of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 165507889 to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -5867*n**3 + 3*n**2 + 5866*n**3 - 2*n**2 - n + 1 + 2 - 36. Calculate j(0).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 1.49.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*h + 45*h = 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i - 4*t + 544 = -18*i, 1053 = -2*i + t. Let r = 748 - i. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15180 is divided by 32?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of -31*z**4\/2 + 13*z**3 + 4*z + 17. Find the second derivative of w(u) wrt u.\nAnswer: -372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*f, -p - 8*f + 2967 = 5934 - 2975 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Convert -9d87 (base 16) to base 8.\nAnswer: -116607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.87 + 2.85. Put v, 2, 0.06 in descending order.\nAnswer: 2, 0.06, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**4\/15 + 8*c**3\/5 - 14*c**2\/5 + 4*c\/3 = 0.\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -144323611*m**2 - 318782*m - 30?\nAnswer: -288647222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14241.\nAnswer: 3, 47, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 - (38 - 34) - 70?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 13*p. Let h(o) = o**2 - 14*o - 1. Let g(k) = -2*h(k) - 3*z(k). Let f be g(11). Does 12 divide 84\/2 + (f - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n - 1089 + 977 + 45101.\nAnswer: -2*n + 44989","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/56 and ((-125)\/7)\/(-32*(-39)\/(-12))?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/31149 and -43\/2886474?\nAnswer: 8659422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*d = 86*d - 27 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103 - 247. Let q be (-22)\/154 - 1665\/7. Let c = q - o. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13078292*q**2 + 3087057*q + 2 wrt q?\nAnswer: 26156584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 256 + -240. Calculate the remainder when 56 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 8:47 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 7*d = -580. Let k = 22 + -76. Let i = k - d. Calculate the remainder when i is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000017280895 to seven dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1291974?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -23*k + 1. Suppose 17*v - 21*v - 4 = 0. Let z be j(v). Suppose z = -3*y + 102. What is the remainder when y is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 greater than -6\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/28*2\/(-3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3285484278 to four decimal places.\nAnswer: -0.3285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 18*d - 17. Let s be a(16). Let b = 228 + s. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-408)\/(-24) + (-9256)\/546?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -0.1 (b) -1\/3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135 - 899 = 166*i + 730 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -2*v + 10, -2*p = -24*v + 26*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69056 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**3\/4 - 25*l**2 - 45*l\/4 + 225 = 0.\nAnswer: -3, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 36838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 178\/7, -0.7, -3, -5, 3, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233 (base 11) to base 2.\nAnswer: -100010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13426504 (base 8) to base 15.\nAnswer: -3eb9e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 1 - 46. Suppose -3848 - 12595 = -189*k. What is the remainder when k is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -10 + -1 - -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-30)\/(-2) + (-34 - -30). Suppose -5*q - 10*v = -m*v - 90, q = 5*v + 42. Calculate the remainder when 49 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*4*(2*(sqrt(1216) + 3) - sqrt(1216) - (-2*sqrt(1216) + 3 + sqrt(1216)))*-5 + 3)**2.\nAnswer: 40320*sqrt(19) + 1949569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4521407884 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.918 - 3.418. Let a = 5 - 0. What is the fourth biggest value in -1, a, -5, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2956 = -68*w + 226*w - 902 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, -3, -2, 2, 3, -2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-12*9\/(-36))\/(4\/(-4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21996 + 2932.18?\nAnswer: 24928.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**4\/4 - 10*h**3\/3 - 4*h**2 + 2*h + 7056. Calculate v(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(1\/2)*g*g)\/g*g\/(g\/(((g*g*g**(-5\/6)*g)\/g)\/g*g)))\/(g**(-1\/3)\/g*g)**(-2\/45) assuming g is positive.\nAnswer: g**(358\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 + (-10)\/6*(-46512)\/1632.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 2, -2, -640381, 0.02?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**(-1\/4)*r**25 assuming r is positive.\nAnswer: r**(105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 51008 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x = 4*j, -4*x + 19 = -j. Suppose 4*a - 7 - 13 = 0, 4*q = x*a + 20. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 26 - 32 + 9*o**2 + 30 - 2*o in the form g*o + p*o**2 + u and give u.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 67 - 7 = 0. Let u = k - 6. Let l(v) = -328*v + 105*v + 116*v + 106*v. Calculate l(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6517.305 minutes in days?\nAnswer: 4.52590625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287774242?\nAnswer: 2, 7, 367, 56009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 738486699 smaller than 738486701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*8.1\nAnswer: 5.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18.6 + -21. Let r = 1.4 + p. What is the nearest to r in -4, -1\/2, 2\/15?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*g + 50*g = -170 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13496 divided by 1928?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 856.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287179*k - 287175*k + 1148677*k - 287228*k - 287094*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/2*(-48)\/3. Let w = 241\/6 + j. Suppose -4*h - 2 - 2 = 0. Which is the third biggest value? (a) h (b) w (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 3*c = -3*j + 9, 5*c + 6 = 2*j. Let f(b) = -b + 2. Determine f(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 107174159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + b = -2*b - 10, 0 = 5*v - b - 20. Suppose 0 = 4*f - v*x - 333, -f + 6*f = 2*x + 429. Calculate the greatest common factor of 3 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37236824 divided by 4654603.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (3 + -2)) + -82 + 31 + 26 + -10.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 1729?\nAnswer: 1734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*r**3\/4 + 373*r**2\/4 - 1655*r\/2 + 150.\nAnswer: (r - 6)*(r + 20)*(27*r - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 1 = -2*q + 8, 3*p = 3*q - 15. Suppose -5*o - 35 = -q*k, -o + 2*k - 4*k + 7 = 0. Let n(u) = 11*u**2 + 2*u - 1. Is n(o) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1150 - -1138. Suppose 9 = -0*i - 3*i. Which is the closest to -1? (a) 3 (b) t (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9.3 - 3.3. What is the nearest to q in -2, 0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -56, -222, -514, -944, -1524, -2266, -3182?\n\"Answer: -2*h**3 - 51*h**2 + h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) 1\/6 (c) 0.103 (d) 2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -279545, -559060, -838553, -1118024?\n\"Answer: 11*u**2 - 279548*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 9, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 12\/11, 2\/15, -0.5, -4 in decreasing order.\nAnswer: 12, 12\/11, 2\/15, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 51. Let x = c + -2. Is 17 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175733.\nAnswer: 47, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - 1 - (-16)\/(-120)*20. What is the nearest to 1 in -0.4, u, -2, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7480*s + 14957*s - 7503*s.\nAnswer: -26*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/87483953 and 4\/685.\nAnswer: 437419765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.437597 years to centuries.\nAnswer: 0.03437597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2802848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**2\/11 + 15292988*h\/11 - 29234435246018\/11 = 0 for h.\nAnswer: 3823247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.144173 and 157?\nAnswer: -22.635161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1)\/d)**(1\/22)*d**(-2\/23)*d*(d\/d**(-7\/4))\/d)**(-32) assuming d is positive.\nAnswer: d**(-20824\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69808?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 15 = 14. Are -1\/81 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 + 27. Let u be 20*(-27)\/w*(-4)\/(-24). Let y = u + 282. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 147*d**2*t - d**2 + 429 wrt t?\nAnswer: 147*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88384, 88368, 88358, 88354?\nAnswer: 88356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 2*o - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 136224 to the power of 1\/2, to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3.02505+-190828176\nAnswer: -190828179.02505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmrclmlcwcllwlcwl. Give prob of picking 2 m.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2102705314.\nAnswer: 2, 5641, 186377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(117))*2)**2 + -2 + (sqrt(39) - sqrt(351))\/sqrt(3).\nAnswer: 22*sqrt(13) + 470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p - 1. Let g(r) = -2*r - 21. Let d be g(-11). Let q be x(d). Let l be (-121)\/33 - q\/(-3). Let j(k) = k**2 - 2. Calculate j(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-1)*24\/(-48).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -1562*f**3 - 43*f**2 - 45*f + 23. Let n(p) = 142*p**3 + 4*p**2 + 4*p - 2. What is -2*a(u) - 23*n(u)?\nAnswer: -142*u**3 - 6*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, z: 8}. What is prob of picking 2 g and 1 z?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 213 - 206 - 204 + 613.\nAnswer: -2*l - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25 and 1035540.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -650 - 18*i**3 + 650 + (-5 + 5 - 2*i**2)*(3*i - 2*i - 2*i).\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 10*p**2 - 18*p + 3. Let w be l(12). Is 74 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-150)\/(-52))\/((-6)\/(-8)). Let u = l + -1567\/208. Calculate the common denominator of 53\/12 and u.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7012 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -280695?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88 + 52. Let w = -50 - s. Let y = w + 15. Which is the nearest to y? (a) -0.5 (b) -1\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 49*c - 268. Let u be z(6). Solve 4*r - 82 = -u for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19547806, 19547822, 19547838, 19547854, 19547870, 19547886?\nAnswer: 19547902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/357 and 51\/81886.\nAnswer: 4176186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 9720379.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 3) to base 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6894?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 206623528351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 3*i + 12, 5 - 1 = 5*t - i. Let f(o) = -o**2 - 3 + t*o**2 + 3. Let d(z) = 2*z. Determine d(f(p)).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + (54 - (358 - 124))?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a55614 - -3?\nAnswer: -a55611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**5\/60 + s**4\/24 - s**3\/6 + 3*s**2. Let u be d(-2). Is (-1)\/(4\/6 - u) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**5\/4 + 211*z**4\/4 + 2240*z**3 - 672053*z**2 - 2031040*z - 1356800 = 0.\nAnswer: -106, -2, -1, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33190.\nAnswer: 2, 5, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.49 + -3.91. Let g = 9 + -5. Let l = g + v. Which is the second biggest value? (a) l (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 + 67 + -25 + (-16 - (0 - -2))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/8 + 7824\/1088 - 7\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 122 or 134?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11387 is divided by 190?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -58 in descending order.\nAnswer: 5, -1, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1927350391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*t**2 + 0*t + 28*t**2 - 2*t.\nAnswer: 47*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/4250412 and 35\/22.\nAnswer: 46754532","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 2. Let d(v) = v**2 + 37*v + 35. Let t be d(-36). Let b(c) = -1. Let m(x) = t*f(x) + 2*b(x). Let j(q) = -15*q. Give -j(z) - 6*m(z).\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3895 and 44327.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 90*q**2 - 6*q + 8. Let j(k) = 2*k**2 - 5*k + 4. Let w be j(2). Let f be -1 + (-4 - -6) + w. Let l be r(f). What is l rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/5, -0.06, -0.622.\nAnswer: -0.622, -0.06, 13\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*t = 30*t + 33*t. Let u(s) be the first derivative of 0*s**4 - 28 + 32\/5*s**5 + 26\/3*s**3 + 0*s**2 + t*s. Find the third derivative of u(k) wrt k.\nAnswer: 768*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide ((-93)\/(-5))\/((-495)\/(-1100))*(-759)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 174\/(-24) + 7 + (-50)\/(-8). Solve -3*z = -0*z - x for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -7*d**4\/6 + 18*d. Let o(s) = -17*s + 8. Let l(u) = -6*u + 3. Let y(b) = 8*l(b) - 3*o(b). Give y(q(t)).\nAnswer: -42*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 96838288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 223 + -10321?\nAnswer: -10043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12.6 - -2.6. Let x = 5 + g. Let j = 22 + -20.7. Sort j, x, 2 in decreasing order.\nAnswer: 2, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361785647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 4075289.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.17 + -6.83. Let z = -8 + g. Let h = -14.675 - z. What is h rounded to two dps?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20405 divided by 4081?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 7*l**3 - 7 + 8*l**3.\nAnswer: 15*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 5*(sqrt(448) + -2)*-1 + 5*(sqrt(448) - (sqrt(448) + -1 + -4)))**2.\nAnswer: -2480*sqrt(7) + 12161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 220.5 - 220. What is the smallest value in -9, -0.7, -5, y?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 6:40 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1577 - -0.0577. Which is the fourth biggest value? (a) l (b) 0.5 (c) 2\/3 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58359?\nAnswer: 3, 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 341*v - 4*t = 340*v - 25, -v - 25 = 8*t for v.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**4 + 0*n**4 + 6*n**4 + (-5 + 2 + 4)*(2*n**4 + 2*n**4 - 5*n**4) + n**4 + n**4 - 4*n**4.\nAnswer: 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + -1)\/((-1)\/8). Let o(v) = -v + 14. Let k be o(11). Suppose 8*j - 3*j - 25 = 0, k*u - 5*j + 10 = 0. What is the greatest common divisor of u and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4218116746 to the nearest integer?\nAnswer: 64947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3 - 511)\/(3\/(-6))?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15686141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 1245*f + 99926. Calculate w(-80).\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o**2 + 5*o + 7. Suppose 9 = 4*h + 37. Let m(b) = -2*b**2 - 2*b - 4. Let t(d) = h*m(d) - 3*j(d). Calculate the remainder when t(0) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1*364\/(-21))\/((-4)\/(-54)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 divided by 4296?\nAnswer: -47\/1432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 168778821889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*q - 113*q + n = -4 + 12, 0 = -5*q + 5*n - 20 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (231\/22 + -10)*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7379435 divided by -1?\nAnswer: -7379435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/6)*y*y*y*y**(1\/3))\/(((y*(y*y**(1\/4))\/y)\/y)\/y)**(-2\/7))\/(y**(-1)*y**(1\/4))**(2\/81) assuming y is positive.\nAnswer: y**(1123\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 - 47*h + 108. Let a(x) = x**2 - 24*x + 54. Let n(v) = 5*a(v) - 2*j(v). Let y be n(24). Solve 2*b + 10 - y = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-30)\/25) - ((-5)\/3 + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -n - 2*n + 1090, -n = -5*v - 354. Let a = n + 30. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 379*a - 342. Determine b(1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + u = 2, 4*d = -8*u + 13*u - 13. Which is the second smallest value? (a) d (b) -5\/7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b**4 + 120*b**3 - 210*b**3 + 112*b**3 - 77 wrt b.\nAnswer: -12*b**3 + 66*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 5:59 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 256 + -246. Solve 8*t + 36 = -v*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145741 is divided by 6940.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111100111 (base 2) to base 9.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 165527 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-12) + (-50)\/8. Let x = v - -10. Solve x = -2*p - 0*h - h, -h + 1 = -3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 152456, 304978, 457572, 610238, 762976?\n\"Answer: 36*m**2 + 152414*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10 - ((12 - 6) + -9)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 4:33 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4050592 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 791 is divided by 23?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5)*d)**30*d\/(d*d*d**(2\/5)*d*d)*d*d\/d**(-2\/43) assuming d is positive.\nAnswer: d**(-26091\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -3\/2 (c) 136 (d) -3632\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 282*u**2 + 5425*u + 450. Determine x(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u + 3. Let i be h(-13). What is the highest common factor of i and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 11442.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 178062976*c**2 - 45366670*c?\nAnswer: 356125952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 747.5084 milligrams to nanograms.\nAnswer: 747508400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 16) to base 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65578.51 + -684343.\nAnswer: -749921.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -242 - -128. Let i be d\/(-18) + (-6)\/(-9) + -2. Solve -12 = 3*u + i*p, 0*u - 4 = u - 2*p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + (-34636)\/(-582) + -1. Let m = -2005140682\/32597529 + r. Let g = -18259181\/4704798 - m. Calculate the common denominator of g and -58\/33.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 6*a**2 + 5*a + 8. Give m(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*n = -2*z + 6811998, -3406002 = -n + 2*z. Round n to the nearest one hundred thousand.\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 430, 1337, 3106, 6025, 10382?\nAnswer: 16465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/(-42) - (-17103)\/18. Suppose 0 = -2*z - 194 + b. What are the prime factors of z?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 0 + 221 + 79 + -247?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/297570 and -67\/106820.\nAnswer: 4165980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.366 in 15, 2\/3, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nunwwwnnwunn. Give prob of sequence wwu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 4. Let h(p) = -x*p**3 + p + 0*p**3 - 1 - 3*p**3 + p**2. Let v be 0\/6 - (-2)\/(2 + 0). Calculate h(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -346*p**5*y**3 + 7*p**4*y**3 - 3*p**2*y**3 + 118*p**2 + 2*p*y**3 + 2*p*y wrt p?\nAnswer: -20760*p**2*y**3 + 168*p*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.2, 2\/3, 2\/11, -6.9 in ascending order.\nAnswer: -6.9, -1, -0.2, 2\/11, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -10*a + 60. Let p be f(6). Suppose -5*i + 91 = -2*t, p*t + 82 = 5*i + t. What is the greatest common factor of i and 102?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3692 - 2835. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 5*h + 12, -7*o + 7*o = -2*h for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -36e2 + -cc?\nAnswer: -37ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -1. Let z(i) = -6*i**2 - 12*i + 12. Let g(r) = -v(r) - z(r). Let q be g(-3). Solve -2*x - q = -3*n + 8, n + 5*x - 5 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.366+6.7943\nAnswer: 5.4283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 705332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/9 (b) -236 (c) -2\/7 (d) -4 (e) 1\/3 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8086280.\nAnswer: 2, 5, 113, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 42 + -30 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*r**2 + 56*r**2 - 153*r**2 + 49*r**2.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 16*l**2 + 312*l + 142. Calculate the remainder when j(-21) is divided by 28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 13*j + 8. Let c be p(12). Let m be (c\/6)\/(6\/9). Let o be (-1 + m)\/(4\/3). Solve -d - 2 = 5*a - 11, o*a + 4*d = 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l - 10*l + 4*l)*(6 + 14 - 8*l + 7*l) to the form f*l**2 + t + s*l and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 4*c + 6. Suppose -5*x - 10 = -x + 3*m, m = 2. Calculate w(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -7, -5, -4, 5 in decreasing order.\nAnswer: 9, 5, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.6 - -11.4. Let s = 12 - y. Sort 0, 1, s in descending order.\nAnswer: 1, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -43 or -395\/9?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - -2201321133?\nAnswer: 2201321111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 15, 0, -5, -3 in descending order.\nAnswer: 15, 5, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6885 - -6895. Solve 0 = -2*x + 4*z + 8, -3*z + a = -8*z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -0.6 (c) 2 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-345)\/1380 - (-1)\/(4\/17). Let i be (0\/(-2))\/(-3 - -2). What is n in i*n**2 + 3*n - n**2 - 9*n**3 + n**d - 8*n**5 + 17*n**4 - 3*n**2 = 0?\nAnswer: -1\/2, 0, 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.32? (a) -0.5 (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wgff when four letters picked without replacement from qgffwqeeqq.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/330)\/(((-117)\/(-351))\/((-1)\/2)).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g**3 - 2*g**2 - g. Let i be z(-1). Let u be (-1)\/(-2 + (2 - 1)). Is u at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 10, 19, 32, 49, 70?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 680 divided by -340\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/7))**12)**34\/(((a**(-1)*a)\/a)**(2\/53)\/(a*a**0)**(2\/101)) assuming a is positive.\nAnswer: a**(-4365892\/37471)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 175324611 divided by 10397?\nAnswer: 16863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-50) + (-7202)\/(-650). Solve -b + 5 - 2 = 2*c, 0 = -5*b + 3*c - x for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -208424, 7, -6 in decreasing order.\nAnswer: 7, -6, -208424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -890 - 17*i + 439 + 21*i + 451.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -9)\/40 - 31*3\/(-4)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/6*-25*(-8968)\/(-44840).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -177 - -181. Let f(g) = -62*g**4 + 12*g**3 + 12*g - 11. Let t(p) = 3*p**3. Let u(x) = o*t(x) - f(x). What is the second derivative of u(v) wrt v?\nAnswer: 744*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5118976.\nAnswer: 2, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(336)\/(sqrt(6)*-1))\/((sqrt(32) + sqrt(8))*1))**2.\nAnswer: 112\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -61*u + 90. What is the units digit of g(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2545529.\nAnswer: 7, 17, 21391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**3 + 40*g**2 + 58*g - 11. Calculate the remainder when c(-18) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 96*g**5 - 69*g**4 - 3*g**3 - 21396*g**2.\nAnswer: 5760*g**2 - 1656*g - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 365 + 0?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8515445?\nAnswer: 5, 1703089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/126)\/(53\/4134).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -489935292*a**2 - 641487808*a.\nAnswer: -979870584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1411, -3024, -4855, -6904?\nAnswer: -9171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 1593 = -7*u + 4*u, -3*j = u - 1185. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*(sqrt(21)*-3*4)\/(sqrt(7) + sqrt(1008)*-2))**2.\nAnswer: 1728\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -19. Let n be 1 - w - (1 - 1). Solve -3*l - 30 = -n*b, 5*b = -2*l - l + 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4528 and -445599345.\nAnswer: -445603873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 256 and -731691.\nAnswer: -731435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 178472 and 448?\nAnswer: 1427776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 0, j + 2*j = -5*m + 18. Suppose -3*h + u - j*u = -24, 4*h - 15 = -u. Sort h, -5, 4 in descending order.\nAnswer: 4, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10145 and 570.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 5) + -7 + 3 + -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8220981 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5376 and 5888.\nAnswer: 123648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.2 + 10.2. Let z = 60.92 - 59. Let m = 0.08 + z. Sort o, 11, m in descending order.\nAnswer: 11, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72 + -37. What is the remainder when k is divided by ((-4)\/(-5))\/((1 + 13)\/350)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (22 + 11 + 2)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 23 (b) 1\/6 (c) -1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5128*b**4 + 106*b**3 + 6685414 wrt b.\nAnswer: 20512*b**3 + 318*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 10:09 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4272 * 53.\nAnswer: 226416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a minute in seconds?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -80 + (72 - (140 - 93)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-76 - (-60 - -34))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 7 + 177*i - 16 + 5*i**2.\nAnswer: 5*i**2 + 177*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (490\/(-42))\/7*11322\/(-255).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5\/5 + 101*h**4\/2 + 8233*h**3\/10 + 3831*h**2 + 33552*h\/5 + 3888 = 0. Calculate h.\nAnswer: -108, -12, -3, -2, -5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/3 + 13498*c**2\/3 - 18008*c.\nAnswer: 2*c*(c - 4)*(c + 6753)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-6*-1*sqrt(204))\/(sqrt(972) + -1*sqrt(972) + sqrt(972) - sqrt(12)).\nAnswer: 3 + 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4}. Give prob of sequence bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(352\/(-336))*6\/9\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = 4*s - 2*v - 400, 0 = -s + 5*v + 95. Suppose -s = -11*b + 21*b. Let j = 847\/3 + -291. Which is bigger: j or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n + 1 - n - n**3 - 6*n**2 - 2. Let k be q(-7). What is the common denominator of -61\/22 and 6\/k*(-214)\/(-6)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o + o + 2*o as c + i*o and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -9*r**3 - 5*r**2 + r + 7. Let b be (-6)\/(-1*(-9)\/(-6)). Let k = b - 6. Let j(y) = -4*y**3 - 2*y**2 + 3. What is k*p(s) + 5*j(s)?\nAnswer: -2*s**3 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2135.\nAnswer: 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 861cb (base 13) to base 10.\nAnswer: 242006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 333 and 142444413.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 84 divided by -9137\nAnswer: -84\/9137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.36 from 15.\nAnswer: 14.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -929 (base 11) to base 4.\nAnswer: -101200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.8151 + -1.9491. Which is the third smallest value? (a) 3\/4 (b) -0.1 (c) 2\/5 (d) m (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31394.\nAnswer: 2, 11, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48556 and 1990.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((w + 3*w - 2*w)*(2 + 4 - 4) + (11 + 8*w - 11)*(-2 + 4 - 4))*(5 - 2 + 5) - 4 - 3*w + 4.\nAnswer: -99*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 370775*v**4*w**3 + 5*v**3*w + 34*v**2*w**3 + 2*v**2*w**2 - 227*v**2*w + 3*v*w**3 + 2 wrt v.\nAnswer: 8898600*v*w**3 + 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1722, 3442, 5162, 6882, 8602, 10322?\nAnswer: 12042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -107.4 times -0.07\nAnswer: 7.518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 31, 2, -0.03, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 10. Let b = 2 + a. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tjtd when four letters picked without replacement from jjjddwwwdndtdnwtdd.\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12317 and 545.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17636 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**3 + w**3 + 0*w**3 + 15 - 3 to the form p*w**2 + o*w**3 + y*w + g and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 + 0 - a)*(2*a + 0*a - a) to the form x*a**2 + d*a + o and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*u**3 + 5*u + 0*u + 8*u**3 - 5*u**3 wrt u?\nAnswer: 54*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 562b9?\nAnswer: 562b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2462 + 2516. What is the highest common divisor of j and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116\/290 - (2\/5 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61455.90204 rounded to the nearest 10?\nAnswer: 61460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -249*a**3 - 14*a**2 - 224*a + 8. Let h(m) = 249*m**3 + 12*m**2 + 222*m - 7. Let k(i) = -7*h(i) - 6*z(i). Find the second derivative of k(t) wrt t.\nAnswer: -1494*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 5 = 2*m, 0 = -22*n + 24*n - m - 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2221152 and 4.\nAnswer: -8884608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 + 26944?\nAnswer: 26943.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 11*i**2 - 14*i - 18. What is the lowest common multiple of p(-12) and 682?\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, w: 3, r: 2}. What is prob of picking 2 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h. Let g be r(2). Solve -s + 4*i = -3*s - g, 8 = -4*s - 4*i for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -67002, -134129, -201268, -268425, -335606?\n\"Answer: -b**3 - 67120*b + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s + 10*s - 3353*s**2 + 3354*s**2 to the form o*s + l*s**2 + t and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 + j**2 + 4*j**2 + 5 - 5*j + 5*j + 2*j**2 + (-j**2 - j**2 + j**2)*(0 - 2 + 0) - 3*j**2 + 3*j**2 - j**2.\nAnswer: 6*j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3301200 (base 5) in base 4?\nAnswer: -31301221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2013*0.1\nAnswer: -201.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3399147\/13 - 261330. Let s = -143 + z. Let f = -79 + 393\/5. Put 8, f, s, 3 in decreasing order.\nAnswer: 8, 3, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 0. Suppose 4*m + 4 = c*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, t: 3, m: 2, r: 4, n: 1, g: 1}. Give prob of sequence tm.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 5 (b) -4 (c) 2\/7 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10 and 3517?\nAnswer: 35170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 42, 24, 50, 150, 354, 692, 1194?\nAnswer: 1890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2321.\nAnswer: 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 45*p**2 - 36. Let f(t) = -t**2 + 1. Let y(u) = 36*f(u) + x(u). Let h(c) = 2*c. Determine h(y(m)).\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4 + 5*o + 0*o - 1. Let n be h(-3). Let l = 25 + n. Solve l = -4*u + 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -791 at least 1\/160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 9*x**2 + 8*x - 7. What is the remainder when 73 is divided by z(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48080 and 70880?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*d*g*n + 3*d*g + 5*d*n - d - 35*g*n + 2*g + 11*n + 2 wrt g.\nAnswer: 4*d*n + 3*d - 35*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-105)\/6*(-8)\/10. Suppose 3*s = 187 + x. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d**3 + 8*d**3 + 4*d**3 - d**2 + 14*d**3.\nAnswer: 17*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -33519357871 and 259.6?\nAnswer: 33519358130.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.6 + -0.4. Let r = -2.9 - 0. Let d = r - q. Which is greater: -0.3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45 and 2160?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -7. Let l be (r\/(-4))\/((-2)\/(-16)). Suppose 0 = l*k - 9*k - 605000. Round k to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -30217, -2\/7, 0.5, -3, 3, -2, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and 0.1157?\nAnswer: 0.003471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 57293\/7 at least 8186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/5 and -109\/68802.\nAnswer: 344010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -156*d - 1559. What is m(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -203, -471, -879, -1445, -2187, -3123?\nAnswer: -4271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 105, -1\/30, 4\/9, 0, -2, 3\/7?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1001010011001110001101 (base 2) to base 13\nAnswer: 674929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002786 rounded to seven decimal places?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7960*c**2 + 3026 + 15922*c**2 - 7960*c**2.\nAnswer: 2*c**2 + 3026","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6110, -27887, -86994, -202097, -391862, -674955?\nAnswer: -1070042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a + 70 + 77 + 70 - 217.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 660 and 18?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**2 - 17*z - 3. Suppose 0 = -35*b + 5280 + 7530. Let j = 364 - b. Let p(s) = s**2 + 4*s + 1. What is j*n(a) - 9*p(a)?\nAnswer: -3*a**2 - 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -780, -1726, -2682, -3654, -4648, -5670, -6726?\nAnswer: -7822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h + 23*h**3 - 2 + 9*h**2 + 11 - 5*h**3.\nAnswer: 18*h**3 + 9*h**2 + 6*h + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52109 + b + 14*b**2 + 15*b**3 + 52110 - 104218 to v*b + a*b**3 + m*b**2 + z and give a.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 3*k**2 + 17*k + 139. Give z(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -125, -539, -1281, -2393, -3917, -5895, -8369?\n\"Answer: -7*j**3 - 122*j**2 + j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 160989823 to the power of 1\/4, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*o = -15, 0 = -4*r - 2*o - 0*o + 102. Let d be 126\/r*(18*1 - 0). Calculate the highest common divisor of 42 and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 117 = -0*f - 3*y, -f - 111 = 3*y. Let v = -115 - f. Let l = -1249\/477 - -21\/53. Is v less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3192 and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 5 + (6 + -2 - 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, -1.211, 3, 4\/7, 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 37935, 76576, 115217, 153858?\n\"Answer: 38641*q - 706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 times 0.01964?\nAnswer: 6.9722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 20*l + 4. Let x be q(-8). Let f be 3*-1*x\/(-18). Let y = -18 - f. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1041? (a) -3 (b) 2\/11 (c) 7.498\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -133.831 plus 8120?\nAnswer: 7986.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6992928592 rounded to 1 decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 7, 6, 11, 28?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 205069 a multiple of 481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (1 - (0 + 4 + -1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39955 and 32750.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1146308 by 2.\nAnswer: 573154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t + 14*t - 206 = 0. Suppose 9*x = -13 + t. Calculate the highest common divisor of 50 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85189 (base 10) to base 7\nAnswer: -503236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/65)\/(1\/5) + (-3332)\/(-12870) and -77\/90.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4d - -6d1c?\nAnswer: 6d6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 540562?\nAnswer: 2, 11, 24571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1378228*f**2 + f + 44145 wrt f?\nAnswer: -2756456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**1*(c**8\/c)\/c*c**(-2\/5)*c*c**(2\/5)*c*c*c*c\/(c**(2\/7)\/c)*c\/((c*(c**(-1\/2)*c)\/c)\/c)*c*c\/(c*c**(2\/3)*c)*c*c*(c**(-1\/17)*c)\/c*c assuming c is positive.\nAnswer: c**(11773\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35598 - 194864 + 58003 = 2429*w for w.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5, 1, -7, -19, -35, -55, -79?\n\"Answer: -2*b**2 + 2*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000092 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 12, 219, 721 in ascending order.\nAnswer: 11, 12, 219, 721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 - 2*w**2 + 3126*w + 15404. Determine y(-5).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2389239*y - 3 + 2389256*y + 3 + 6 - 6.\nAnswer: 17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 19 = -17 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4604, 27\/14, 0.15.\nAnswer: 0.15, 0.4604, 27\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**3 + 7446*b**2 + 6941520*b + 20757600 = 0 for b.\nAnswer: -1860, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 5:27 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2720 is divided by 525?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -195 in 28, 0.028, 3?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5019b - 3?\nAnswer: -5019e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -50, -2 in descending order.\nAnswer: -1, -2, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -113 - d + 0*d + 1284*d**2 - 237 - 378 - 175 wrt d.\nAnswer: 2568","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-240)\/(-25) - 6\/10. Solve -24 = -3*k + 3*j - f, -3*j + 3 = 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-6)*11\/2. Solve 7*y + 20 = n*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8416 and 16.\nAnswer: 8416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 590809 is divided by 1641.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 6*m - 4. Let i(c) = -1. Let y(z) = 3*i(z) - u(z). Let s(l) = -l**2 - 6*l - 9. Let h be s(-6). Is y(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 61173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289*m**3 + 340*m**3 - 1715*m**3 + 223*m**3 + 471*m**3.\nAnswer: -392*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2 + 2*y. Let t be (-1 - 0)*(3 - -2). Is s(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q**2 - 3*q - 20. Let n(h) = -h**2 + h + 2. Calculate 6*n(m) + w(m).\nAnswer: -m**2 + 3*m - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 6:51 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -27700, -55366, -83032, -110698, -138364?\n\"Answer: -27666*k - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 0*h + 4 = 2*h, 3*h = l - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 12:20 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.12, 0.4, -2, -0.4?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 2*d + 0*d)*(-5 + 3 + 3) + (d + 4*d - 4*d)*(-4 + 2 - 1) - d + 1 - 1.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -1 + sqrt(1331))**2 + (1 + sqrt(1331) - sqrt(1331))*-6)*3.\nAnswer: -198*sqrt(11) + 4002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4 = -2*l - 36, x = 4*l + 22. Let o = 16 + -16.05. Let k = -0.05 + o. Is k greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.17 - 17286597062.\nAnswer: -17286597061.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13016808 divided by -4338936\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - k + 6. Let b be d(3). Suppose -b*a + 9*a + 75 = 0. Let t = a + -9. Calculate the smallest common multiple of 10 and t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 + -27. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53803 and 67989?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 988725121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 187770968?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 947391 and 8235?\nAnswer: 42632595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -11. Let y be j + 12\/(-3) - -2. Let p = 1 - 3. Which is greater: p or y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*x - 14. Suppose 6*a - x*a = 20. List the prime factors of (a\/6)\/(2\/12).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 5:31 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, u: 2, n: 2, g: 2, y: 4, w: 3}. What is prob of sequence jg?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9193*b + 237229 = 3157*b + 36296 - 268367 for b.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, l: 2}. Give prob of sequence flfl.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11\/(-7) - 1)*7. Let l be ((-1)\/(-6))\/(27\/k). Let h = 0.08 + -5.08. What is the third smallest value in h, -2\/13, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 2863*n - 18 + 11 to the form f + u*n and give u.\nAnswer: 2863","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12720 and 15900?\nAnswer: 63600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-29)\/87)\/(1\/(-6))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-25) + (1 - (-762)\/(-360))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5189313*b*m**3 + 23*b - 452719 wrt m.\nAnswer: 15567939*b*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*z + 3*a + 12, -3*z = -4*a - 22. Suppose -h - 12 = -z*h. Suppose 0*v + 3*v = h. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from razsazsaaaaaaaab. What is prob of picking 1 z and 1 b?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w**3 - 5*w**2 + 79*w - 149. Calculate j(4).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 2 + 3. Suppose -t + j*t = 72. Calculate the highest common factor of t and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-17)\/20 + (-186)\/(-93) and 1\/2*(-186)\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41.6 - 98.265. Let c = -57 - f. Round c to two dps.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090668544 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**5\/3 + 167*r**4\/3 - 2634*r**3 + 72626*r**2\/3 + 169631*r\/3 + 29645 = 0.\nAnswer: -1, 15, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u + 1. Calculate s(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 16 = -9*g, 5*j - 4*g = -4. Let f be -15*(-1)\/3*j\/5. Let y be (-2)\/(0 - f\/(-80)). What is the highest common factor of y and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 - 83. Let f be (6\/9)\/((-6)\/b). Suppose f*n = -135 + 340. List the prime factors of n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - 7*(-5 + -26). Let d = m - 222. Solve 0 = 4*s - d + 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 d when two letters picked without replacement from qdscmce.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 7:56 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (7 - (-21 - -13))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2\/6 + 2363*h\/6 - 10755 = 0. What is h?\nAnswer: -2390, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 856 and 33752.\nAnswer: 3611464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/10)\/((-6)\/10). Is 217 + (5 - x) - 15\/3 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 13*h + 32. What is x(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/1762 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 110065331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3629796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8, 0.6, 2\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.2*-111.5.\nAnswer: 468.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkkkkqidkd. Give prob of picking 1 q and 1 i.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -0.9, 0, 4\/5 in ascending order.\nAnswer: -0.9, 0, 3\/4, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - 0. Suppose 8 = 5*z + 4*w + 1, -4*w = z + 5. Put s, z, -5 in descending order.\nAnswer: z, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -349 - -359. What is the remainder when 2 + 78\/2 + (6 - 9) is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 a factor of 6154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -70*f. Let w(a) = 124*a**2 + 72*a**2 - 197*a**2. Determine w(l(c)).\nAnswer: -4900*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -205.0675327 to one dp.\nAnswer: -205.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1765310763025 and -6?\nAnswer: 1765310763019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f. Let d(w) = -13*w + 17. Let l(a) = -2*a**2 - 17*a - 26. Let t be l(-6). Let z(q) = 11*q - 15. Let i(s) = t*d(s) + 5*z(s). Give i(p(b)).\nAnswer: -9*b - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -54*l**2 - 5*l - 26. Let c(r) = -28*r**2 - 3*r - 15. Calculate 7*c(p) - 4*x(p).\nAnswer: 20*p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 119728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4042 - 3882. Let u be (10\/(-8))\/((-2)\/40). Let j = u - 5. What is the highest common factor of d and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 10. Let x = 387 + -383. Solve -x*u - 5 = -h*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i + 5. Let q be d(3). Let u = q - -38. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 12 + 4*l - 4*l. Let s(f) = 2*f**2 + 10*f - 3. Let a be s(-8). Let m = a - 45. Determine q(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19320709?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-15)\/(-15)*(-7)\/2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - n**2 + n + 9. Let f = 0 + -100. Let t be 4\/18 + f\/(-36). Let g be (1 - 0\/t) + -1. What is a(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131118332 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 z when two letters picked without replacement from xzxzxrgtrtztzzr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 42*u + 16. Determine s(2).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(66)\/sqrt(150) - (2 + sqrt(55)\/sqrt(5) + sqrt(11) + sqrt(11) + 0).\nAnswer: -13*sqrt(11)\/5 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41874 - -41884. Let s = 28 - 42. Let o = s - -24. Calculate the smallest common multiple of n and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 8*t**2 - 102*t - 38. Let n = 31 + -37. Let h(d) = d**2 - d + 1. Let y(q) = n*h(q) - f(q). Factor y(l).\nAnswer: -2*(l - 8)*(7*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of 11*q**6\/2340 - 23*q**5\/780 + q**4\/78 + 22*q**3\/3 - 2*q**2 - 28*q. Let i(k) be the first derivative of b(k). Factor i(u).\nAnswer: 2*(u - 2)*(11*u - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t - 9*t = -5*o + 5, -7 = -3*o - t for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93455209 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g = 4*t - 30*g - 5129, -6391 = -5*t - 3*g. Calculate the least common multiple of t and 160.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 5*t**2 + 2*t - 3. Let x be g(-3). Suppose -3*o = -x, 3*p - o - 54 = -5*o. Let i be (-4)\/(-8)*12\/p. Sort i, 1\/4, -4 in increasing order.\nAnswer: -4, 1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3 - (-40)\/(-105). Let p be 4\/(-14) + (83093700\/(-2961))\/(-10). Let i = 2806 - p. Is i >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 3*a + 3*x, x + 65 = 76. Let o(v) = 4*v - 7. Let m be o(6). Solve m = -5*p - a for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0034 - -0.0034. Let x(p) = p**3 - 3*p**2 - 8*p + 9. Let v be x(5). Let m = v + -30. What is the fourth biggest value in i, m, 5, 2\/15?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 385631830 to the nearest 1000000.\nAnswer: 386000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(10*g - 12*g + 20*g)*(1 - 3 + 4)*(3 - 18 - 25).\nAnswer: 1440*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10 - 1)*(-2 - 4)\/6. Solve 4*f + 11 + 2 = 3*p, 3*f + r = p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((((-10)\/(-26))\/5)\/(447\/(-447)))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h + 4*j = 15*h, 5*h - j - 36 = 0. Is 15 a factor of 16*(2 - (-148)\/h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*p - 371*p = 3507 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/3)\/((-6)\/(-72)). Suppose -v*z = -3*z - 13. Let j = -6 + z. Solve 5*b - j = 8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1956, -1964, -1976, -1992, -2012, -2036?\n\"Answer: -2*z**2 - 2*z - 1952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -q**5\/24 + q**4\/24 + 8*q**3\/3 + 4. Let x(g) be the third derivative of z(g). What is the first derivative of x(b) wrt b?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44539.06 to the nearest ten.\nAnswer: 44540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0.81 (c) -213\/4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-272)\/51*(-1)\/((-14)\/(-6)). Factor x + 16\/7*y + 4\/7*y**2.\nAnswer: 4*(y + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t*(t*t*t*t\/((t\/(t**30*t*t))\/t)*t)\/t*t)*t*t)*t**(-3\/10))**(18\/5) assuming t is positive.\nAnswer: t**(3213\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000000010 + -11100010?\nAnswer: 11100100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*y. Let t(b) = 13*b + 25. Let r(m) = 11*m + 24. Let n(f) = 6*r(f) - 5*t(f). Determine n(y).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8030 and 1295020.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011011111 (base 2) to base 7.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 87\/(-116) + 35\/20. Which is the closest to k? (a) -1 (b) -1\/3 (c) -4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -767*a + 694 + 1397*a + 594 + 2*a**2 - 36.\nAnswer: 2*(a + 2)*(a + 313)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m - 64 = 6*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2263 and 1?\nAnswer: 2263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 138638.251 to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16 - (-40)\/8) + 6. Let g(f) = -42*f + 113. What are the prime factors of g(d)?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -66. Let n = p - -143. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.862941kg in tonnes?\nAnswer: 0.006862941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - (-3)\/(-2))\/((-301)\/86). Which is the closest to -3? (a) 11 (b) 1\/4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105391, 105428, 105463, 105496, 105527?\nAnswer: 105556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -277 - -236640?\nAnswer: 236341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12 and -793.\nAnswer: -805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 7*a**2 - 6*a. Let v(q) = -13*q**2 + 11*q. Let x(n) = 11*j(n) + 6*v(n). Let r(m) = -7*m**2 - 2. Calculate r(x(g)).\nAnswer: -7*g**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**5\/((y\/(y**(1\/2)*y))\/y)*y**(-5)\/y**(-9) assuming y is positive.\nAnswer: y**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from viv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of -g**3\/6 - 3*g. What is the units digit of t(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281*f - 3630 = -286*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**6\/60 - q**5\/15 - q**4\/4 - q**3\/2 + 2*q**2. Let v be b(-2). Let f = 27 + v. Solve 0*k = f*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + 11)\/(-2 + (-1017)\/(-508)). Find the common denominator of (0 - 4\/(-2)) + m\/192 and 22\/(-48)*(-6)\/(-4).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -80*b - 3. List the prime factors of c(-1).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*f = -18. Suppose 0 = f*d - 3*w - 20 + 200, 60 = -d + 3*w. Let o = d + 247. Calculate the highest common factor of 17 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11987623.\nAnswer: 23, 521201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 - (-3 + (-3 - -10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 3, 0 in ascending order.\nAnswer: -3, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*b - 15 + 84, -5*b - 2*c + 54 = 0. Let o(a) = 31*a - 15. What is the hundreds digit of o(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2277 by -1719.\nAnswer: -253\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 4:18 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j - 30 = -22*j + m, j - 5*m + 18 = 0 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 plus 115.72?\nAnswer: 122.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16120 and 10?\nAnswer: 16120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*o + 16*o - 4*o.\nAnswer: 26*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 4*a - 4*a - 4*a + 2.\nAnswer: -6*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -a - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**3 - 394610*h**2 - 19466012574*h - 136242752814 = 0?\nAnswer: -98649, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.159 and 0.1960119885.\nAnswer: 0.0370119885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -2623.1.\nAnswer: 524.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x + 41. Let c be g(-13). Suppose c*z = 2*n - 608, 0 = -n - 2*z + 5*z + 302. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6243.5 rounded to the nearest one hundred?\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 305831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 11:28 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -38*i - 1375. Determine o(-36).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 - 14*y - 56. Let g be h(10). Solve 7 = t + 2*k - 1, 5*t = -k + g for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(2 + 2) - (-5)\/1. Suppose -k**3 + 336 + x*k - 306 - 14*k**2 + 9*k - 5*k = 0. What is k?\nAnswer: -15, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5649636637.\nAnswer: 71, 79572347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3368189 to the power of 1\/2, to the nearest integer?\nAnswer: 1835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 2, 58, -12, -2 in decreasing order.\nAnswer: 58, 25, 2, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 461809*p**2. Let h(u) = -3*u**2. Calculate s(h(q)).\nAnswer: 4156281*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1590 + 1590.12. Put y, -0.5, -13 in descending order.\nAnswer: y, -0.5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -115 + 115. Let i(n) = -3*n**3 + 9*n**3 - 1 - 5*n**3 - 2*n**2 + n**2. What is i(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19149963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d**3 - 4. Let f(c) = 9*c**2 + 2*c - 10. Let r be f(2). Suppose n - 4 = 0, -r = 5*b + 4*n - 76. Let t(z) = -9*z**3 - 9. Determine b*t(s) - 14*a(s).\nAnswer: 2*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20.6? (a) -5 (b) 0 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194 is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2334950 divided by 113?\nAnswer: -2334950\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (3 + -12 - -12) + -9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26519 - -26545. Let k(s) = -s**2 + 33*s - 184. Calculate k(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -4) + 1 - 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -29*v**3 + 1. Let r(y) = -1. Calculate -p(n) - 3*r(n).\nAnswer: 29*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -257 + 259. Let y = 326 + -322. Solve 2*c - 5*o - 19 = 0, -22 = y*c - w*o + 4*o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1187503 + 2375003 - 1187499 + 3*p**2.\nAnswer: 3*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 37 = 3*o, -2*g + 0*g - 46 = -4*o. Let a = g - -9. What is the remainder when 33 is divided by 6\/9*(-102)\/a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, 2\/7, -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/4)*j)**(9\/4)*j**3*j**(-2))\/((((j\/(j\/j**3))\/j)\/j*j)\/(j\/(j\/j**(3\/2))*j)*(j**(2\/3))**(-1\/27)) assuming j is positive.\nAnswer: j**(5621\/1296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + -3 - ((2 - 2) + (-24 - -33))) + 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqtztzzzzzrqzz. What is prob of picking 1 h and 3 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*((5 - 3 - -3) + (-4)\/1). Let s(u) = -3*u**2 + u + 3. Give s(j).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 676 - 234 = -34*r for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(102) - sqrt(102))\/(sqrt(294)*1 - sqrt(294) - sqrt(6)).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6052\/255*(-25)\/10)\/((-62)\/(-93))?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.3 and 19072645 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1221660 and 90?\nAnswer: 1221660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 plus 1155?\nAnswer: 1155.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 9:55 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2727031, 1, 2\/25?\nAnswer: -2727031","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 27*n + 5 = -24*n - 28, -2*t + 0 + 1 = -11*n for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/(-2822))\/(8\/(-16)). Let v = n + 120319\/22576. Let c = -19766 + 711655\/36. Find the common denominator of v and c.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/13 (b) 27\/10 (c) 2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jlsjllssllrjl. Give prob of sequence ss.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2940\/(-441)*(-9)\/(-5)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -10186\nAnswer: 2\/5093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.4 + -11.28. Let l = n - 0.12. Let q = l - -7.99999935. What is q rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 829 is divided by 416?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 120 + -238. Let n = o - -121. Solve 4*z + 7 - n = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -4)*(-401)\/53734\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 6*d - 42 = 5*w + 13*d, -12 = -4*w + 9*d for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 5*i - 3. Let f(a) = a**2 + a + 4*a + 4 + a**2 + 0*a. Let q(d) = 3*f(d) + 4*x(d). Find the second derivative of q(w) wrt w.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (42 + (-22 - -10))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 365 divide 700070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -5.3. Let f = 526 + -524. Let i be (-37)\/(-222) + f\/(-6). Is i less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.2 + 1.4. Which is the second biggest value? (a) 0.5 (b) 1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*a - 10, 3*a + a = -y - 14. Let j be a\/(-1) + -4 - -5. Suppose -n = -4*x - 85, n - j*n + 4*x + 328 = 0. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*sqrt(128) + (sqrt(72)*-1)**2.\nAnswer: -16*sqrt(2) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 45*a**3 + 20*a**3 - 2 - 4 + 22*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 177809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5*w - 2. Let k be o(0). Sort k, 2, 5, 6.\nAnswer: k, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(3\/13)\/i)\/i)\/i**10)**38 assuming i is positive.\nAnswer: i**(-5814\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437701669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q + 91 = 26 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*-89*20\/18. Let o = 198 + g. Suppose 1 = 2*p + 9. What is the second biggest value in p, o, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -5, 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3\/4 + 2093005*y**2\/4 - 54758635750*y + 54758112500.\nAnswer: -5*(y - 209300)**2*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, g: 1, q: 3, j: 6, k: 1}. What is prob of sequence ekj?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1581099 a multiple of 393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3348965+-53\nAnswer: 3348912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.17 + 2.17. Which is the closest to -0.1? (a) -2 (b) 1\/3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-8)*l*l)\/l*l*l\/((l**(2\/7)\/l)\/l))**(-6\/7) assuming l is positive.\nAnswer: l**(138\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-115 + 2) - (110 - (-158 + 261)).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10774?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234 = 7*q + 5*k, 4*k + 7636 - 7484 = 5*q for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j\/(j\/j**(-13)))*j*j**(-1\/3)\/j assuming j is positive.\nAnswer: j**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*s = -1252, -2*s = 4*r - s + 1262. What is the common denominator of 6\/11 and (r\/40 + 8)\/((-15)\/(-53))?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24230 (base 5) in base 4?\nAnswer: 130113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -8*o**2 + 5*o + 20. Let b(w) = 4*w**2 - 2*w - 10. Let f(g) = -5*b(g) - 3*c(g). What is the units digit of f(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/33)\/(3\/9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 3, -88\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -6.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u = 12. Suppose 4*f + 8 = u*f. Suppose 0 = -4*x - 4, x + 2 = -j + f. Solve -j*n = -2*n - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1638032041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b8d (base 14) to base 3.\nAnswer: -101122202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*d - 3460, 0 = 3*d - d + z + 1395. Let t = -344 - d. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95313?\nAnswer: 3, 31771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305 - 31*n**3 - 305.\nAnswer: -31*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, j: 2, w: 1, m: 4}. Give prob of picking 1 m and 1 j.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.73 + -0.27. Which is the biggest value? (a) 0.2 (b) 4\/13 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 0 + -3 + 11 + -21 + 13?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -8*l**4 - 6*l**3 - 13*l**2 - 6. Let x(q) = q**3 + 1. Let u(k) = w(k) + 6*x(k). Find the third derivative of u(y) wrt y.\nAnswer: -192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -24, 27, -4 in decreasing order.\nAnswer: 27, 1, -1, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 6*d**2 - d. Let f be g(-6). Suppose 0 = -2*p + f*p - 24. Suppose 40*x - 45*x + 15 = 0, 4*s - 17 = 5*x. Which is greater: s or p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7383 = 4359*k - 5131*k + 93749 for k.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m + 2*m - 2*m - 3*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**3\/6 - 3*v**2 - 3*v. Let l be a(7). Let o be (-6)\/(-8) + 148\/(-720)*5. Which is bigger: l or o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -101*i**2 - i + 178.\nAnswer: -202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 0.057?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -5 + 6 + -5 - -6 - -4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-79)\/(-3) + 6\/9. Let t = -7580 - -7715. What is the greatest common divisor of m and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 27*m**2 - 5*m + 62. Let y(n) = -n**2 + 12*n**2 - 6*n + 16*n**2 - 193 + 257. Let o(w) = -6*a(w) + 5*y(w). What is the first derivative of o(x) wrt x?\nAnswer: -54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5474, -5433, -5392, -5351, -5310, -5269?\nAnswer: -5228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-39)\/(-130) + ((-1698188)\/(-40) - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -299 (b) -1\/2 (c) -29\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**3 - 100*v**2 + 56*v - 310. What is the remainder when r(51) is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 6:09 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 j when four letters picked without replacement from {j: 2, o: 7, c: 2}?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201141 (base 5) to base 11.\nAnswer: 4908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11*2*(690\/(-60))\/(-23)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*(-3)\/6 + 206. Let o be (-4)\/(-18) - (-86)\/18. Suppose o*y = 31 + d. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*y**2 + 3857*y - 1 - 2*y**3 - 1 - 5*y**4 - 3856*y to v*y**3 + u*y + a + b*y**4 + g*y**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2 - 6 = 0. Let a(s) = 1 - 3*s + 4*s**2 - s**2 + 2*s. Determine a(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470492733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 338, 888, 1786, 3032, 4626, 6568?\nAnswer: 8858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*b**3 + 34*b**3 + 62*b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/(-8 - (-69)\/9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -842 by 96.\nAnswer: -421\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -19*l**2 - 6*l - 3*l**3 + 9*l**2 - 2*l**3 + 4*l**2. Let r(d) = 9*d**3 + 11*d**2 + 11*d. Give 11*p(j) + 6*r(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**5\/2 + 231*p**4\/2 - 4545*p**3\/2 + 3201*p**2\/2 + 10488*p + 6498 = 0. What is p?\nAnswer: -1, 3, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -7*m**5\/3 - 74*m**4 - 727*m**3\/3 + 24*m**2 + 1220*m\/3 - 112 = 0.\nAnswer: -28, -3, -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 0.11?\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 9, f: 3, y: 6, j: 1}. Give prob of sequence fm.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*d - 222*d - 2148 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -27102, 1 in increasing order.\nAnswer: -27102, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-2)\/(-140)*-12)*(-12)\/10?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25 or -70?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence egn when three letters picked without replacement from {n: 4, o: 1, e: 4, p: 2, g: 3}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -73*0.03\nAnswer: -2.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/10, -163, -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46256 divided by -196.\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 g when four letters picked without replacement from illbggililbggibiggi?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 2*j - 8 - 8, -4*j = 3*w - 14. What is the nearest to -1 in w, -3, 6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zlgnggtgyzgnyzg. What is prob of sequence zyzg?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 303438*-0.4.\nAnswer: -121375.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -158 + 98. Let m = y + 57. Let f be ((-3)\/1)\/((-3)\/(-4)). Which is the second biggest value? (a) 4\/9 (b) f (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 9 = -s - 4*k, -5*s + 5 = -5*k. Let f be (-8)\/6 - (-330)\/45. Solve f*w = w + 5*l - 5, w - s*l = -3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 2*j - 5*j)*(0*j + 0*j - 2*j)*(-350 - 14*j**2 + 350).\nAnswer: -56*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-7 + 12 - (-2 - -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/260*18)\/(12\/(-10)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 803519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - (28 + 13)) + -3 + 92?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4483*n**2 + 2*n - 9056*n**2 + 4607*n**2.\nAnswer: 34*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-15))\/((-3)\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -23.937. Let v = -0.037 + q. Let n = -33 - -30. What is the nearest to n in 2, 1\/2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35789?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 76 = -4*v, -v = -5*v - 2*f - 72. Let i = 26 + v. What is the units digit of (-2)\/5 + 34\/i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) -20\/237 (c) 15\/4 (d) 3 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1105\/117 - 45\/5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -330c + -da?\nAnswer: -33e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u - 14909 = -3*k - 16*u, 2*k + 4*u - 9958 = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11846 in 310, 4, 2, 3\/4?\nAnswer: 310","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 98 - 2. Let u = k + 29. Suppose -u*b + 95 = -2*w + 19, -b + 10 = -3*w. Calculate the least common multiple of 18 and b.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 PM and 11:56 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.401 and -1014?\nAnswer: 4462.614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**2 + s + 1. Let c be v(10). Suppose 0*a = a - c. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5991 - 25*i**2 - 2001 - 1995 - 1995.\nAnswer: -25*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 316*x + 48. What is the hundreds digit of p(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1651*i**2 - 3214*i**2 + 1596*i**2.\nAnswer: 33*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 4111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.71227 tonnes to micrograms.\nAnswer: 78712270000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 62 - 324*s + 322*s)*(-3*s - 3*s + 4*s).\nAnswer: 4*s**2 - 150*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05 - -9.95. Let v = n + -7. Let f = 515 - 517. What is the nearest to -0.1 in 0.5, v, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1108099197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 8156 and 549 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7.4 times -0.2274\nAnswer: -1.68276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b10a (base 14) in base 13?\nAnswer: -65a10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/165)\/(-15 + 43 - 29)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 7*d**2 + 8*d + 9. Suppose -3*u = -2*u - 2. Let r(o) = 3*o + 2. Let q be r(u). What is the remainder when k(q) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 2:47 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -134.44 - 2.56. Let g = -130.7 - l. Let k = -5 - g. Round k to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3187*i = -24408 - 275886 + 26212 for i.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 685143?\nAnswer: 3, 269, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**5\/5 + 15*v**4 + 171*v**3\/5 - 663*v**2\/5 - 1554*v\/5 - 792\/5 = 0. What is v?\nAnswer: -22, -4, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 4, 5*l + 8482723 = -3*b - 9130274. What is l rounded to the nearest one hundred thousand?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*r = -38*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b = 7*b - 95. Sort 6, 3, b in descending order.\nAnswer: 6, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2868.03615 to the nearest 10.\nAnswer: 2870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 7\/5 (b) -106.8 (c) -76\/7 (d) 0.2 (e) 4 (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + 5*h - 4 - 0 + 8, 136*t - 3*h - 800 = h for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.4 + 9. Let l = z - -0.4000006. What is l rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by -6315775.\nAnswer: 23\/6315775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0346068 rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 3:22 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q - 24 = -8*q. Let y(h) = -267*h + 68. What is the hundreds digit of y(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*r**2 - 442*r**2 + 148*r**2 + 150*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**9\/14 + l**6\/60 + 13*l**5\/60 - 8*l**2 + 10*l. What is the third derivative of q(z) wrt z?\nAnswer: 4320*z**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -2 + 2 - (-3 - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5700005 = 5*k, -4*z - 937797 = -3*k + 2482183. Suppose 12*l = 9*l + k. What is l rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 741, 1401, 2061?\nAnswer: 2721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -c - 98, 315 = 3*q - 0*c + 4*c. Suppose q = 5*f - 89. Let x = f - 19. What is the remainder when x is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 31*w + 77. Let m be h(-7). Let k = -120 - m. Calculate the highest common factor of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 0.15. Let d = -0.05 + r. What is the smallest value in 2, d, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 921330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v**2 - 26*v - 44. Let r be o(-2). Let c = 49 - 48. Put -5, r, c, -1 in decreasing order.\nAnswer: c, -1, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 r when four letters picked without replacement from {e: 2, r: 1, f: 1, x: 3, b: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -345\/17, 1\/12, -4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, d: 1, v: 2, x: 5, j: 6}. Give prob of picking 1 d and 1 j.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iyyiiiiiiiyiyiiy. Give prob of picking 2 i and 1 y.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265 - 115 = 65*t + 11*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*m - 15 = -4, -2*d + 4*m = -34. Calculate the remainder when 362 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5551728 and 12.\nAnswer: 5551740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a. Let q(n) = 2*n**2 - 5. Let p(i) = -i**2 + 2. Suppose 1 = 4*s - 15. Let m(g) = s*q(g) + 10*p(g). What is m(o(f))?\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**2 - 3*s**2 - 4 - s**3 + 2 + s**4 + 20*s**4 as a*s**4 + b + v*s + d*s**2 + o*s**3 and give a.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 24 (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -19416994458.6 and -616?\nAnswer: 19416993842.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.004098 and -0.178.\nAnswer: 0.000729444","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2288*a**3 + 1345*a**3 + 941*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17 + -33020?\nAnswer: -33037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98235 and 295?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1407948, 2815907, 4223866, 5631825, 7039784, 8447743?\nAnswer: 9855702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/930386 and -91\/4.\nAnswer: 1860772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 3. Let a be u(0). Suppose -6 = -2*v - t, 29 = a*v + 2*v - t. Solve v*r = r + 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-15) + 1535\/25. Which is greater: 60 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/916 and 89\/14.\nAnswer: 6412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-31)\/310*-20 + (-14483 - 1)\/(-1) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27111 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/4? (a) 2 (b) 1\/5 (c) 4 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k**3 + 10*k**2 - 16*k + 2. Let i be -2 + 20\/12 - (-8)\/(-3). Let f(v) = -4*v**3 + 10*v**2 - 16*v + 4. Let s(w) = i*f(w) + 2*m(w). Factor s(b).\nAnswer: 2*(b - 2)**2*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a. Let y(n) = 5978*n. What is v(y(o))?\nAnswer: -23912*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (270\/216)\/(10\/(-4))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2 - 7 - 8*r - 5*r + 11*r. Let g(q) = 3*q + 6. Give 6*f(v) + 5*g(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -20 * 275\nAnswer: -5500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 + -32. Let q = -7 - -9. Suppose -q*w = 2 - 6. Calculate the smallest common multiple of w and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6943 * -0.09.\nAnswer: 624.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (20\/150)\/(1 + 0). Let n = 2.08 + 0.12. Let a = 2.4 - n. What is the third smallest value in a, j, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2862669 is divided by 2936?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 312832 and 22.\nAnswer: 3441152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5*a. Let d(t) be the first derivative of -8*t**3\/3 - 22. Determine o(d(w)).\nAnswer: 40*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 10:34 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -29a + -2072c9?\nAnswer: -207585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5365 = 1478*r - 1293*r for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 + 17883*x**3 + 250211*x**2 + 804105*x.\nAnswer: x*(x + 5)*(x + 9)*(x + 17869)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 65.73?\nAnswer: 26.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*t = -300*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2315299 divided by -47251\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*t**2 - 80*t + 61*t**3 + 27*t**3 + 36*t**2 wrt t?\nAnswer: 528*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.08923ml to litres.\nAnswer: 0.01008923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 11 = -1, -5*w = -5*g - 1305. Is w a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 290 and 580.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m**2 - 17*m + 14. Is z(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 161\/46*(-4)\/2*146\/(-3577).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-3) - 1 - 4\/(-6). Is 1484\/20 + x - 2\/10 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75040 and 5759320.\nAnswer: 23037280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -232835 = -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/9 and 59\/99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*t + 0*t = 60, 4*t = 0. Let v = h + -13. Solve -d = v*d - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 10*m = 5*m - 6*m + 12, -4*m + 6 = -10*m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + (sqrt(125) - ((sqrt(125) - (sqrt(125) + sqrt(125) + 0))*5 + sqrt(125)))*3)**2.\nAnswer: -750*sqrt(5) + 28150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 104\/51159 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76367 - 69960.2. What is l rounded to the nearest one hundred?\nAnswer: 6400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111000000 + 0?\nAnswer: 1111000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**3 - 35*o**2 - 13*o + 3. What is z(12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o - 8*o - 99 = -1274. What is the remainder when 151 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4289 is divided by 4264?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*k + 5*t + 10, -6 = 3*t. Suppose -2*n - n + 3 = k. Solve x - n = 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 154447, 154452, 154457, 154462, 154467, 154472?\nAnswer: 154477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036502603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q - 9. Let d(x) = x**3 - 2*x**2 + 2*x + 1. Let b be d(3). Let n = -25 - -15. Let k = b + n. What is g(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.07 or -4431?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2235 + 2231. Which is the fourth smallest value? (a) -3 (b) -2 (c) 4 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -3967, -10590, -19873, -31822?\nAnswer: -46443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -37, -1\/3, 0, -2\/5 in decreasing order.\nAnswer: 1, 0, -1\/3, -2\/5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 3:14 AM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-8))\/(-5)*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -8 - 10 - ((3 - -8) + -1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 10 = -4*l, 4*v + 16 = 5*l - 3. Let t(j) be the second derivative of 0 - 1\/12*j**4 - 1\/2*j**l - j**2 - 2*j. Calculate t(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14149616.\nAnswer: 2, 13, 59, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 10*u. Let j = -4 + 10. Let n(a) = j + 5 - a - 11. Give b(n(m)).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1545 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48.95 + -45. Let c = 4 - w. Let d = c - 0.04996. Round d to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78 + 84. Suppose k = -5*u + 101. Calculate the remainder when 58 - (3\/1 - 0) is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34 - 43) + 9 + -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 4 (b) -4 (c) -1\/424\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -z**2\/2 - 2*z + 2. Let g be (6\/5)\/((-4)\/(-10)). Let d(q) = 4 - 4 + 2. Give g*d(a) + 2*k(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*h = 200241, 7*u + 400428 = 13*u - h. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 2*o**2 - o - 2. Let r(h) = -h**2 + 2*h + 1. Let p be r(-1). Let y be v(p). Let g be y\/3 - -2 - 2. Solve g = -2*d - 9 - 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 - 63. Let m be (1*(-4)\/l)\/(1 + -2). Sort -4, 5, m, 4 in ascending order.\nAnswer: -4, m, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -0.382, 146.7?\nAnswer: 146.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1097 - 1097.4. Let x be (1\/2)\/(15\/60). Put a, -2\/13, x, -65 in descending order.\nAnswer: x, -2\/13, a, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.18681 + -0.18681. What is the second biggest value in r, 5\/142, 6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + (-3 - 6\/(-1)). What is the remainder when 39 + (c - 1)\/(-1) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 0, 10, 32, 66, 112, 170, 240?\n\"Answer: 6*q**2 - 8*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppafbpffaapbfpp. Give prob of picking 2 b and 1 f.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -700*x**5 + 12640*x**4\/3 + 132*x**3 - 1336*x**2 + 1168*x\/3 - 32 = 0.\nAnswer: -2\/3, 1\/5, 2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -4*f**2 + 392*f = 0.\nAnswer: 0, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*z + 86 - 255. Which is smaller: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18517109 and 1885?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 6:53 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5 - 79*h**4 + 828*h**3 + 1980*h**2 = 0. Calculate h.\nAnswer: -2, 0, 15, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t**3\/6 - t**2\/2 - 4*t. Let x be l(-10). Solve -4*k + 3*k - x = -2*s, 3*k = -3*s + 9 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 104*g. Let v(u) = -95*u**2. Calculate v(z(j)).\nAnswer: -1027520*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*p, 4*w + 8*p - 3*p = -10. Let g(c) = w*c + 0*c**3 + 7*c**2 - c**3 - 7*c + 4. Give g(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 94*z + 31. Determine y(-10).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 929 = -394. Let i = -185 + h. What is the lowest common multiple of 1 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9149640 and 12630?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**3 - 8*c**2 - 13*c - 6. Let q be k(-2). Suppose -8\/5*z**5 + 0*z - 4\/5*z**3 - 18\/5*z**q + 0 + 0*z**2 = 0. Calculate z.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3867*b = 103598 - 30125 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = -h + 7*h. Suppose -58 = -5*u + h. Calculate the greatest common factor of u and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of o**4\/4 + 5*o**2\/2 + o. What is the derivative of s(j) wrt j?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 20615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 791 and 10.\nAnswer: 7910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 13. Let r = 49 - o. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*w - 491 - 93 = 0 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 1 (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of 5*i**9\/112 + i**5\/3 + 37*i**3 - 147. Let j(k) be the third derivative of h(k). What is the second derivative of j(c) wrt c?\nAnswer: 2700*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 34*m**2 - 1117*m + 37974. Give v(33).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 2*u**2 + 0*u - 1\/90*u**5 + 0 + 1\/36*u**4 + 0*u**3. Factor q(y).\nAnswer: -2*y*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 3. Let b(j) = j - 2. Let h(y) = 10*b(y) + 6*x(y). List the prime factors of h(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 1:06 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/7 (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 5*b**2 - 3*b - 12. Let z be q(-5). Let h(o) = 2*o**2 + o. Let m be h(5). Suppose m = 4*s + z*l, 3 = s + l - 12. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from ereeeer.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 + (2 + -3 - 1). Let j(c) = c**2 + 3*c - 2. Let q be j(-3). Let r = m - q. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, z: 1, q: 2, g: 1, y: 1, r: 1}. What is prob of sequence zyg?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c - 13*c - 22*c - c**3 - 3*c**3.\nAnswer: -4*c**3 - 28*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 g when three letters picked without replacement from gggogogg.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1632*a + 160*a - 18002 = -2597 + 27603 for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*b + 12. Let g(q) = -b - 14*q - 3 - 9*q. Is g(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88689 is divided by 29542.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1859 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: Which is the closest to 2.4? (a) -3 (b) 4 (c) 57 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39\/898 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 192, 1201, 2880, 5229, 8248, 11937, 16296?\nAnswer: 21325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 764168363 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 75, 164, 341, 636, 1079?\nAnswer: 1700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 30*b**2 - 510445*b - 85075 = 0.\nAnswer: -1\/6, 17015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1739448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 97887*f*j**3 + 3*f*j**2 + 3*f*j + 151*j**3 - 1753087*j**2 - 1 wrt j?\nAnswer: 587322*f + 906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16402 = -2232*f - 32702 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllllllllllllllbbl. What is prob of picking 2 b and 1 l?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5 + c + 7 + c + 1 with respect to c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1389870, -1389872, -1389876, -1389882, -1389890?\nAnswer: -1389900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - b. Let g be o(-1). Suppose 2*x - 2*u + 27 = -7*u, 4*u = -20. Which is smaller: g or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -292921 and -6.\nAnswer: 1757526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -8*w + 13*w. Let d(k) = 28 + 3*k + w*k + k**2 - 36. Let v = -17 + 11. Give d(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from niqzbaniibqi. What is prob of sequence iiz?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 9381382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - -2560) + 1 + -2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*r + 8850 + 18377. Does 49 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 47 = -u. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2448) + -1 + 5 + ((sqrt(2448)*-1 - sqrt(2448)) + 5)*6)**2*5 + -1.\nAnswer: -43560*sqrt(17) + 1486484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**4\/6 + 7*z**3\/6 + 3*z**2\/2 + 8*z. List the prime factors of w(-6).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18, 17, -6, -51, -118, -207?\n\"Answer: -11*x**2 + 32*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -23*r - 1 + 46*r - 20*r + 1. What is z(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*f + 45061 = 0, -4*l + 31033 = -2*f - 5047. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 3 + 39. Let u be (-4)\/o - 8\/70. Let x be 1\/(-6)*-1*(58 + -56). Which is the nearest to u? (a) 0.4 (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 575 * 4\nAnswer: 2300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -4\/25 (b) -5 (c) 3\/5 (d) -4 (e) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + (sqrt(117) - -2*sqrt(117)))**2*-1 + ((sqrt(117) - (1 + sqrt(117)) - sqrt(117)) + 3)**2 + -3.\nAnswer: -1754 - 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-2) + 8\/(-16). What are the prime factors of ((-4)\/(-6) + 1144\/12)\/r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -7*a + 18. Let f(q) = 8*q - 18. Let t be 2\/(-10) - (-112)\/(-40). Let g(h) = t*f(h) - 4*l(h). What is the units digit of g(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 0 - (-8 + 9 + -15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*j - 143*j + 106*j.\nAnswer: 31*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -23652552 (base 7) to base 16\nAnswer: -204138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 5 = 4*a. Suppose -4*y + 3*t = -1, a*t - 13 = -5*y - 5. Let c be 0 + (-3)\/(-6) + y. Do 1 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 933\/298 and 3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q + 86*q**2 + 3*q - 21*q**2)*(3*q**2 + 0*q**2 + 0*q**2) as o*q**4 + f + c*q**2 + b*q + z*q**3 and give o.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27064721 + 0?\nAnswer: -27064721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 16.0797515 + -14\nAnswer: 2.0797515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208 + 196 = -101*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - y**2 + 4*y + 3. Let n be q(-2). Let h = 0.13 - 17.13. Let u = -17.2 - h. What is the nearest to n in u, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -292345, -585546, -878743, -1171930, -1465101?\n\"Answer: d**3 - 4*d**2 - 293196*d + 854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (6 - 7 - -7 - -3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -9*f + 1. Calculate h(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -2*g**3\/3 + 37. Let s(l) = l - 1. Let q(v) = 3*v**2 - 6*v + 6. Let w(z) = 3*q(z) + 18*s(z). What is k(w(r))?\nAnswer: -162*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2764, 3382, 4394, 5806, 7624, 9854, 12502, 15574?\nAnswer: 19076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(208))\/sqrt(256) - (4*-6*sqrt(52)*-2)**2.\nAnswer: -119808 + sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 824771179 to the nearest integer?\nAnswer: 28719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 308 and 420?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 362, 1420, 3184, 5654, 8830, 12712?\n\"Answer: 353*s**2 - s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5*t - 2*t**3 - 8 - 2*t - 112*t**2 + 8*t + 130*t**2. Determine i(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 1 + (28 - (21 - -16)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(12\/8)\/((-9)\/(-24))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89.07 - -90. Let f = -0.07 - s. Which is the second smallest value? (a) -2\/3 (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-42))**(-41)\/((z*z\/z**(-35)*z*z)\/(z\/((z*(z\/z**(-44))\/z*z*z)\/z))) assuming z is positive.\nAnswer: z**1638","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 2214 and 2213 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 49*j**2 - 9*j - 64. Let u(l) = -3*l**2 + 8. Let f(p) = t(p) + 7*u(p). Let k(z) = -19*z**2 + 6*z + 5. Calculate -5*f(d) - 8*k(d).\nAnswer: 12*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 5:07 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 3 = -3*u, 9*k - 15 = -3*u + 8*k for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 5 - -13) + -37 + (12 - 6)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**5 + 1848*g**4 + 10944*g**3.\nAnswer: 4*g**3*(g + 6)*(g + 456)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -4.39737.\nAnswer: -17.58948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000010054 rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -119\/5*v**5 + 0*v**4 - 61 + 0*v - 1\/3*v**3 + 14*v**2. What is the third derivative of m(u) wrt u?\nAnswer: -2856*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 226*h + 37. Let l be w(8). Let x = -945 + l. What is x rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -72895\nAnswer: -3\/72895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 123. What is the greatest common divisor of h and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ue when two letters picked without replacement from eeuu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3004*d**2 - 1060 - 19 - 888*d**2 wrt d?\nAnswer: 4232*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -175*o + 527. Let a be r(3). Put 3, 30, -2, a in ascending order.\nAnswer: -2, a, 3, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 2*r**2 + 2*r + 3. Let m be j(-2). Let w be m + -3 - 26\/(-6). Let o = 0.2 - 1.2. Which is the nearest to o? (a) 0 (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 683 + -480. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 22081 = -4*i, -4*a + 4*i = -5655 - 12009. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 - (-8 + (6 - -6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -69?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 1)*((4*f - 3*f + 0*f)*(-6 + 2 + 2) - 4*f - 2*f + 5*f)*(4 + 2 + 3)*(-196*f**3 + 72*f**4 + 196*f**3).\nAnswer: 1944*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 139, 142, 155, 184, 235?\n\"Answer: z**3 - z**2 - z + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(-2*sqrt(162) + sqrt(162)).\nAnswer: -sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z - 4. Let v = -32 + 52. Suppose 0 = -a + 14 - v. Let n(d) = -2*d + 3. What is a*l(c) - 7*n(c)?\nAnswer: 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 4, -79, -200, -359?\nAnswer: -556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hary when four letters picked without replacement from {b: 3, h: 5, a: 5, y: 1, r: 5, q: 1}.\nAnswer: 25\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3 = l, 11 = 2*a - 3*a - 3*l. Suppose -10 = -3*r - a. Solve -g + 1 - 4 = q, -4*q - 12 = -r*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -767*d**3*h**5 - d**3*h**3 + 249*d**3*h - d**2*h**2 - 2*d wrt h.\nAnswer: -46020*d**3*h**2 - 6*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 0. Let w = i + -4. Let u = 3 + -3. What is the closest to w in u, 2\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2. Let g(a) = 14*a**2 - 1 + 5 - 4. What is g(r(n))?\nAnswer: 56*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*x = 13 + 7, -2*w - 3*x - 15 = 0. Let c = 6355\/552752 - 1\/3088. Let h = c + -193\/1253. Sort w, h, 1 in decreasing order.\nAnswer: 1, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3382 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/15 - 32\/60. Which is the nearest to -1\/8? (a) w (b) 0.01 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -1. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 6*p + 4*s - 65199, -5*p + 108665 = 5*s. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-87)\/2610 - (1 + 5555\/(-150)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4037, -6257, -8513, -10823, -13205, -15677, -18257?\nAnswer: -20963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**3\/11 - 107*z**2\/11 + z\/11 + 107\/11 = 0. Calculate z.\nAnswer: -107, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 302*f + 6837. Does 43 divide h(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 9 = 9*h. Let l(c) = -c**4 - c**3 + c. Let a(w) = -7*w**4 + 33*w**3 - 20*w**2 - w. Let k(d) = h*a(d) - 5*l(d). Factor k(b).\nAnswer: 4*b*(b - 1)**2*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3333412 (base 8) in base 14?\nAnswer: 1957bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 555293\/45800 - -4\/5725. What is the common denominator of r and (-1 - -74)*(-1)\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4 + 4 + ((-3*sqrt(198))\/sqrt(9))\/(sqrt(18)\/sqrt(36)).\nAnswer: -6*sqrt(11) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 799 - 240. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7 - 8 - 12*y - 6. Let q be v(-2). Calculate the greatest common divisor of q and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -21*z. Let r(s) be the second derivative of 2*s + 0*s**3 + 1\/12*s**4 + z + 1\/2*s**2. Let p(n) = 5*n**2 + 6. Give p(a) - 6*r(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 497*u**2 + 2*u - 1066 with respect to u.\nAnswer: 994*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 95446895*l. Let z(y) = -2*y. Determine z(q(o)).\nAnswer: -190893790*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8253 - -8256. Sort -2\/3, -2, -1\/3, s, -0.01 in increasing order.\nAnswer: -2, -2\/3, -1\/3, -0.01, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -u - o, 6 = 2*u - 2*o - 8. Let g = 274 - u. What is the remainder when g is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6615a6 (base 12) in base 9?\nAnswer: -3038170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - o + 1. Let q(b) = 4*b**3 + 97*b**2 - 5*b + 5. Determine -q(m) + 5*y(m).\nAnswer: m**3 - 97*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*u - 183*u = -h - 9, -20*h + 12 = -4*u - 0*h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25225 less than -893?\nAnswer: -26118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.84 - 11. Let s = f + 0.2. Let i = s - 5.84. Round i to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**4 - 796053*x**3 = 0.\nAnswer: 0, 796053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 11*(50\/30)\/(5\/162)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-11 - -1)) + 58\/(-16)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6*l + 147. What is r(30)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 837681 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*(k**(2\/9)*k)\/k*k*k**(-31) assuming k is positive.\nAnswer: k**(-259\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -5*m**2\/2 + 2*m - 61. Suppose 0 = 3*g + 5*j - 4 + 13, 2*g + 5*j = -6. Let b(i) = 4*i - 3. Determine g*f(p) - 4*b(p).\nAnswer: -p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 110*c**5 + 361893*c**3 - 7524929*c**2 + 10*c?\nAnswer: 6600*c**2 + 2171358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 13*r = -358, -4*r = -53*o + 54*o - 184. What is the greatest common divisor of 4632 and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0499 rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -17.03. Let l = -0.03 + s. Which is bigger: 0.1 or l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-48))\/(2\/210)*24\/(-60)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3\/7)*j)\/j*j*j**(-5\/4)*j*j**(-4)*(j**(-2)\/j)\/j assuming j is positive.\nAnswer: j**(-215\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, y: 8}. What is prob of picking 3 y and 1 e?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2883842 by -31.\nAnswer: 2883842\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 14*z. Let r(j) be the first derivative of 8*j**3\/3 - 323. Determine y(r(t)).\nAnswer: 112*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 56 = 72. Let p(n) = -2*n**2 + 5*n - 5. Let b(v) = -6*v**2 + 16*v - 16. Let f(t) = h*p(t) + 5*b(t). Let a(k) = k. What is a(f(s))?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2853876636.\nAnswer: 2, 3, 13, 36083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 42 - -17?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (130620\/80)\/(12\/32)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73 - -217\/3. Let l = -0.047 - -0.447. Let w = -154 - -154.1. Which is the third smallest value? (a) w (b) l (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1b8 + 1a491b?\nAnswer: 1a4743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/15)\/((-5)\/(15\/3))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g**4 - 4 + 6 - 3 + (-2*g**3 - 2*g**3 + 2*g**3)*(71 - 71 + 65*g) as r + h*g**3 + n*g**4 + p*g + w*g**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -5157184.391 to the nearest one thousand.\nAnswer: -5157000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.49 - 16.49. What is the closest to -0.2 in -5, o, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of -1\/70*r**7 + 0*r**5 + 2\/3*r**3 + 0*r + 0 + 0*r**6 + 0*r**4 + r**2. What is the derivative of p(s) wrt s?\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.109282 rounded to 2 decimal places?\nAnswer: -17.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -a28d4 (base 15) in base 12?\nAnswer: -20a047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-3*(-3 + 1*sqrt(13)) - (((-2*sqrt(91))\/sqrt(7) - sqrt(39)\/sqrt(48)) + -2)**2.\nAnswer: -24*sqrt(13) - 397\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7043022 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4627163329 to the power of 1\/2, to the nearest integer?\nAnswer: 68023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t**2 - 17*t + 4. Let h(m) = -5*m**2 - 18*m + 5. Determine -5*h(g) + 6*k(g).\nAnswer: g**2 - 12*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 11*g**2 + 66*g + 46. Calculate i(-15).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 + 323. Does 17 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {m: 10, d: 8, u: 1}?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from tfkkofk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54*o**2*v**3 - 81*o**2*v + 73972*o*v**3 - 4*o*v - 166*v + 3 wrt v?\nAnswer: 324*o**2*v + 443832*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 3*z + 78, -b = -z - 2*z + 12. Let d = b + 10. Let x(v) = 6*v + 3. Let w(k) = -5*k - 2. Determine d*w(q) - 4*x(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49 - -51. Let d = -54 - -53.927. Let o = d + 0.073. What is the closest to 4 in 1\/5, o, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5357538 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 11:31 PM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - sqrt(10)\/sqrt(2)*-1)**2 - (sqrt(720) + -1)**2) + 0.\nAnswer: -701 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 9 + 7 = 0. Let b(q) = -5*q**2 + m*q**2 - 3*q**2. Let n(t) be the third derivative of -t**5\/30 + 12*t**2 - 2*t. Calculate b(n(k)).\nAnswer: -16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 5726?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2011 (base 10) to base 5\nAnswer: 31021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8541*g - 8366*g + 16905*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1604016, -1 in ascending order.\nAnswer: -5, -1, 1604016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 14 - 4) + -4 + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/11 (b) 2\/5 (c) 34\/27 (d) -2\/7 (e) -5 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, m: 1, y: 4, k: 9}. What is prob of picking 1 k, 1 c, and 1 m?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/1659 and -77\/18.\nAnswer: 9954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10423?\nAnswer: 7, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 17*p**2 + 4*p + 4. Let c(b) = -16*b**2 - 5*b - 5. Give 4*c(t) + 5*j(t).\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 >= 219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/61? (a) 2\/15 (b) 22826 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 2*i - 2*i - 76, -5*a - 178 = 4*i. Let t = a + 37. Suppose -t*l - 9 = -21. Solve -h = -l*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**4\/24 + b**3\/6 - 2*b**2. Let n be d(-8). Suppose -4*k = -n*k. Solve -2 = -k*t + t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131265043 divided by -10097311?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -461, -497, -561, -653, -773?\nAnswer: -921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 36 = -4*d, -27532*y + 27531*y - 3 = 3*d. Suppose -5*t - 1 = -41. Put 5, y, t in descending order.\nAnswer: t, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - j**2)*(1 + j - 1)*(-1 - 1 + 5)*(116 - 39 + 71) to the form s*j**3 + w*j**2 + n*j + v and give s.\nAnswer: -444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 13*c**2 + 4 - 6 + 16*c**2 as j + y*c + b*c**2 and give b.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1300 divided by 26?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a. Let m be (8\/6)\/((-2)\/(-9)). Let f be v(m). Suppose -f = 2*c - 50. Does 19 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 4*j. Let v be y(-4). Let w be (v + -3)*(-10 - 0). Suppose 52 - 4 = 4*n + f, -f = -2*n + w. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -305*f**4\/2 - 45*f**3 + 5*f**2\/2 + 3286*f. Find the second derivative of u(c) wrt c.\nAnswer: -3660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -288 divided by 237\nAnswer: -96\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.68 - 566.82. Let z = 569.99965 + j. Let q = z + -0.5. Round q to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136 - -136.5. Which is the nearest to -0.1? (a) -3\/5 (b) o (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**1)**28*(z\/z**(2\/9))\/(z\/(z*z**(-1\/4)))*((z*z**0\/z*z)**(3\/7))**14 assuming z is positive.\nAnswer: z**(1243\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -313*w + 3475. Suppose 2*v = 29 + 13. Calculate the remainder when h(11) is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1757, -2295, -397, 5155, 15579, 32093?\nAnswer: 55915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s - 12 = 24*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 149677761 to the power of 1\/3, to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2.7, -1\/5, -3\/7, -6\/77 in decreasing order.\nAnswer: 2.7, -6\/77, -1\/5, -3\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 6. Let z(o) = o**3 - 3*o + 3. Let h(x) = -3*x**3 + 5*x**2 + 14*x - 20. Let n(m) = -h(m) - 2*z(m). What is n(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.00900203 to four decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7814431 - 2922463 = 288*b. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*-2 + (-6)\/12*-66. Suppose -a = 3*b - q, -3*b - 2*a + 12 = -2*b. Solve 4*s - 2*o = b, -3*s + s + 5*o - 7 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 - (12 - (-8 + 6 + (-5 - -18) + 8))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22666733 + 1?\nAnswer: 22666734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - l - 19 = -2*o, 2947*o - 13 = 2945*o + l for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (323\/(-19))\/(1*-1). Solve 0 = v + 4*z + 15, -2*z = 3*v + 3*z + o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1\/2))\/(z*(z**7*z)\/z)*z\/z**0*z*z*z*z**(-1\/2))\/((z\/z**(-2\/5))**0\/(((z\/((z\/(z**1\/z))\/z*z))\/z)\/z)**(42\/11)) assuming z is positive.\nAnswer: z**(-128\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 1\/4*n**4 + 0 - 1\/20*n**5 + 1\/2*n**2 + 0*n**3 - 2*n. Suppose a - 3*a = 4*k - 16, k + 4*a = 11. Determine h(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 534344.9m in kilometers?\nAnswer: 534.3449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/17)\/q**1)\/(q**(-2\/57)\/((q*q**15\/q*q)\/q*q)))**(1\/7) assuming q is positive.\nAnswer: q**(2065\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.47623159846 and -5.\nAnswer: -5.47623159846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 918099 and 8037?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5702449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5664 is divided by 170.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 3*k + 15 = -2*x, 4*k - 20 = -4*x. Suppose u - 2*t - 73 = x, 2*u + 3*t = 112 + 69. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b (base 16) in base 10?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1001202 - 23303?\nAnswer: 311233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1614\/5 + -88772\/275. What is the common denominator of -89\/75 and m?\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 4*y**2 - 20*y + 9. Let n be h(3). Let u(f) = f**2 - 4*f + 1. Calculate u(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 674*l. Let b(m) = 52869*m**2. Calculate b(r(k)).\nAnswer: 24017117844*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.5 (b) -1\/4 (c) -0.2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 8*i**2 + 36*i - 144. Let a be k(6). Solve a = -14*d + 15*d - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 s when four letters picked without replacement from ssmmmsmmshnsmtn.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -827, 0.2, 7.61?\nAnswer: -827","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -114 and -0.14?\nAnswer: 15.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqfqqfqqqqnqqqnptn. Give prob of picking 1 f and 1 p.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a. Let u = 13 + -12. Let p(c) = -2*c**2 + 1 + c**2 - u. Calculate f(p(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/45 and (-5)\/25 - 2 - (-2)\/6.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 5*y - 5. Let n(a) = 9*a + 63*a**2 + 0 + 9 - 126*a**2 + 62*a**2. Let q = -8 - -3. Calculate q*o(t) - 3*n(t).\nAnswer: -2*t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121484*y - 242958*y + 121476*y - 8464.\nAnswer: 2*y - 8464","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 1. Let r(u) = -8*u**2 + 3453 - 4*u + 6*u - 4*u - 3450. What is -3*o(t) + r(t)?\nAnswer: -11*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13694323 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.17 + -11.5. Let s = -1817.58039597 + 1823.9104. Let c = s + i. What is c rounded to seven dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10327.295 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 119*j**6\/60 + j**5\/60 - j**4\/24 + j**3\/6 - 15*j**2. Is r(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (198 - -43)\/(1\/2) + 4. What is the greatest common divisor of 2 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 301 - 313. Sort 2, p, 1\/5.\nAnswer: p, 1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4\/11 - 1358*x**3\/11 - 73464*x**2\/11 + 58271688*x\/11 - 962548704\/11 = 0. What is x?\nAnswer: -426, 17, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-20)\/85 + (-24330)\/(-85). What is the greatest common factor of 3289 and k?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-159)\/53 - 8595\/(-2915) and -23\/424.\nAnswer: 4664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 17?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4142 + -6298. Which is the closest to -0.1? (a) m (b) 3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 9:08 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1428.2 + 1428. Which is the closest to -0.2? (a) -2\/9 (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 570375846 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1066172605 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(539) + 2) - sqrt(539))**2 - -3*sqrt(539)*-3)*3*4.\nAnswer: 9324*sqrt(11) + 163428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 60*i**3 + 1388*i**2 + 184*i = 0.\nAnswer: -23, -2\/15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.06 (b) -9 (c) -18 (d) -0.09 (e) -109 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.11313 - -25.88687. Let g = 4.05 + -0.05. What is the third biggest value in 3, g, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 27*p - 17. Suppose 4*j - 11 = -5*k, 16*k + j + 4 = 17*k. What is r(k)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 143 + 20. Calculate the remainder when j is divided by 43.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -64, 5, 386, 0, 2, -3 in ascending order.\nAnswer: -64, -3, -2, 0, 2, 5, 386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24098, -48196, -72294?\nAnswer: -96392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 1 = 4*b. Let v = 5278\/15 - 352. Let l = -1\/5 + v. Is l != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 20, -3, 28, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170195 + z**2 + 170195 + 435*z + 125*z.\nAnswer: z**2 + 560*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(21\/10)\/7. What is the nearest to 0 in 0.2, w, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 2. Let n be c(3). Let w(v) be the first derivative of -4*v**3\/3 - v**2\/2 - 2*v + 2. Let d(h) = -h**2 - 1. Give n*w(q) + 2*d(q).\nAnswer: 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 13*r**2 + 4*r + 1. Is j(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -48*j**3 - 3*j**2 - 2*j - 7. Let r(p) = -24*p**3 - p**2 - p - 3. Let y(l) = -2*h(l) + 5*r(l). What is the tens digit of y(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-23)\/((-253)\/(-44))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3423501345 a multiple of 265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a micrometer in nanometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6279429*v**2 - 10154764*v.\nAnswer: -12558858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 5:32 AM?\nAnswer: 415","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 10:13 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -6244*j + 6244*j - 91*j**2 + (4*j - 3*j - 3*j)*(j + 4*j - 3*j) as i*j + u*j**2 + s and give u.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 6*s**2 - 5*s - 2. Let b = -3 - -7. Calculate the remainder when 28 is divided by u(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12 - 0*(-2)\/6. Is (3*k)\/2 + 1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -111106 - -888849\/8. Let s be 12\/22*806\/6957. Let g = s + -2\/773. Sort m, g, -1.\nAnswer: -1, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*c**5\/2 + 303*c**4\/2 - 549*c**3\/2 + 321*c**2\/2 - 21*c = 0. What is c?\nAnswer: 0, 2\/11, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-21)\/(-18)*-2). Let b(n) = -n - 3. Let k be b(-4). Let p be (k\/5)\/((-10)\/25). What is the second smallest value in 0, p, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 46. Let s(a) = 25. Let j(d) = -11*s(d) + 6*v(d). Let z(p) = -p**2 - 94*p - 2214. Let c(i) = 15*j(i) + 3*z(i). Let c(g) = 0. Calculate g.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in 8, -0.4, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47166 - 47166 + 3*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 5*q - 7*q + 0*q. Let a(l) = -21*l. Determine a(r(k)).\nAnswer: 21*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/88984 and 115\/974512?\nAnswer: 221214224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-120)\/(-16) + (-1)\/2. Let s(g) = -q*g + 12*g + 0 + 2. List the prime factors of s(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -1 + (-12 - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2310043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 102483710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 105 = -6*x. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1069187 (b) -7 (c) -5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-9) + (34 + -3)*(-2)\/198\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-16188)\/12)\/19*(-1266)\/2?\nAnswer: 3, 71, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4017811?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 - -46. Suppose 3*z = 49 - f. What is the lowest common multiple of z and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 10. Suppose w - 4*k = 3*w - 16, 3*w - 24 = -4*k. Let r be t(w). Suppose -r*z - 4 = -6*z. Solve 2*u = -4*g - 5 - 11, -3*g + z = -5*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 3. Let y = 1 - p. Suppose y*v - 8075 = -5*s, -3*s - 8080 = -3*v - 7*s. What is v rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3249?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p + 3*p - 2*p)*(-3 + 1 + 1)*(-3 + 3 + 1) + (0 - 2 + 4)*(-1 - 3*p + 1) to r*p + q and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 2*o = 12. Let j be -3*o\/(-3) + -8. Let q = j - -8. Solve -q*w = -5*w + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + -21. Let s = c + 40. What is the remainder when 13 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.03 (b) 1 (c) 5 (d) -42 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 17*x**2 - 127*x - 65. List the prime factors of q(-19).\nAnswer: 5, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 1128 = -21*p. Let b = -21 - p. Does 20 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*u**4 + 13*u**4 + 6 - 8*u**4 - 1 wrt u?\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 75 - 48. What is the remainder when x is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1\/t)\/t)**34\/((t*t*t*t\/(t*t\/(t*t\/(t*t*t**(-7\/5)))))\/t*t**(-14)) assuming t is positive.\nAnswer: t**(-112\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 51668733257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -31 (c) -12 (d) 1\/5 (e) -4 (f) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 299*w + 1645. Calculate y(-8).\nAnswer: -747","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49456.18ml in litres?\nAnswer: 49.45618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96204, -192413, -288632, -384861, -481100?\nAnswer: -577349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/5 + (-8)\/32. Let g = 15659\/9 + -1740. What is the nearest to -2\/3 in g, -0.3, t, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2 + c**2 - 5*c - c - 3. Let o be j(7). Suppose 3*y + o*y - 30 = 0. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -160 + 159.929. Let m = 11.071 + d. Which is the nearest to 2? (a) -5\/4 (b) m (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 3\/23, -0.26, -4?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 11:59 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*j = 33*j - 161*j - 2664 for j.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*p - 58*p - 45*p)*(0*p + 2*p - 4*p)*(-126 + 126 - 24*p**2).\nAnswer: -5472*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-6)*o*o*o**(-2\/5)*(o\/o**(-1\/2)*o)**(-11)*o**(-3\/8)*o*o**1*(o**(-1\/3)\/o)**(-17) assuming o is positive.\nAnswer: o**(-913\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + o + 4 = 3*p, 2*p + 2*o = 12 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 + 3*h - 3. Let u(l) = -5*l**2 - l - 8 + 7*l + 4*l - 2*l. Calculate -3*u(t) + 8*v(t).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.56297 - -58.49397. Round p to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/(-7) + 5 + 9. Solve 0 = -r*i + 6*i + 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + q + 20. What is the units digit of o(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -57*l + 179. Let m(s) = 34*s**2 + 39*s. Give c(m(q)).\nAnswer: -1938*q**2 - 2223*q + 179","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.75 and 0.1.\nAnswer: -0.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8634120 by 31.\nAnswer: -278520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 11218*l + 2 - 11199*l - 2. Let n(r) = 5*r + 2*r - 5*r. Determine y(n(o)).\nAnswer: 38*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(684) + (sqrt(950)\/sqrt(2))**2.\nAnswer: 18*sqrt(19) + 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*t - 22 + 6. Solve 4*o = 5*c + 13, 5*o = -2*c + 9 - t for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - (-32)\/28) + 0. Let s = 239 - 2149\/9. What is the second smallest value in 11, s, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w = -16*w + 336. Is 7 a factor of ((-21)\/(-6)*20)\/(w\/18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-22))\/(140\/1540).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13024 at least as big as 13024?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/10)\/(-2 - 56\/(-20)). Sort -3\/8, 0, n, -0.2 in increasing order.\nAnswer: n, -3\/8, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16090230 and 41257?\nAnswer: 16090230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -307421 (base 9) to base 6\nAnswer: -3525201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 10762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49290000 = -9*u - 44*u. What is u rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/7 + 32708*p\/7 - 8052000\/7.\nAnswer: -2*(p - 16104)*(p - 250)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p - 26*p = -915. What are the prime factors of p?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31\/231 + -1\/21. Suppose -5*s + 8 = -s. Suppose -u - 2*u - s*o - 20 = 0, 0 = u + 3*o + 16. What is the third smallest value in -1\/3, y, u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 9*r - 126. Suppose -q = -r*q + 130. Solve 3*d - 20 = -q*g - 9, -3*d = -g + 13 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 13*d - 6. Let v be u(0). Let q(i) = i + 7. Let h(x) be the third derivative of x**3\/6 - x**2. Determine v*h(m) + q(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 - 26. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33991\/231 - -998\/7. Let l = q + 21\/11. Let o(j) = -j**2 + 3*j + 6. Let n be o(5). Which is smaller: n or l?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34403 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56684*l - 90257*l - 69400*l.\nAnswer: -102973*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 201536 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 40 + (-1 - (1 - 1)). Let p be ((-199270)\/(-390) - 4) + ((-238)\/(-78) - 3). Calculate the greatest common divisor of p and v.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4171 (b) 0.4 (c) -109\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 - 19*t - 42.\nAnswer: (t - 21)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36395651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = k + 26. Suppose 28 = -k*g + 9*g. Let c be (-4)\/(-14) + (-12318)\/g. What is c rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33888 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -17 + 9 + 3 + -11 + -39 + 9?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/515 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/24 and 99\/1844584.\nAnswer: 5533752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = y - 4*t, 0 = -2*y - 3*y + 2*t - 52. Let d be (2\/y)\/((-6)\/8). What is the smallest value in d, 2, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-315)\/14 + 22 - 9\/(-2). Which is the fourth biggest value? (a) o (b) -2 (c) -186 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.4 - -18. Let s = -224.9 + 215. Let k = w + s. Round k to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*c**2 - 120*c**2 - 8*c**3 - 39*c**2.\nAnswer: -8*c**3 - 131*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -485825845432 and 5.\nAnswer: -485825845427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p + 5*p + p - 150 + 91 + 2*p to the form g + m*p and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*h + 51*h**3 - 19*h - 74 - 26*h**3 + 11*h - 26*h**3 to the form s + j*h**3 + x*h**2 + m*h and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 582 + -6408\/11. What is the biggest value in -0.2, 0.5, 11, o?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -96*b - 14. Let q(l) = 64*l + 10. Determine -7*q(h) - 5*u(h).\nAnswer: 32*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71 + -61. Suppose -12 = 4*w - t*w. Solve -r = -w*r - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*g = -24*g - 462. Let q = 61 - g. Let j be q*((2 - 6) + 3). Solve -6 = 3*i, -u + 2*u - 5*i - j = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75180915 to the nearest integer?\nAnswer: 8671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - g = 567614, -108064 - 81137 = -a + 4*g. Let h = -22704449\/120 + a. What is the common denominator of h and -19\/36?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -17*t**3 + 1. Let q be h(1). Let o be (q\/(-5))\/(10\/275). What is the greatest common divisor of 11 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339595.\nAnswer: 5, 23, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = 2*s - 4*k - 45, -4*k = 20 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6240?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 16 = -24. Calculate the least common multiple of 24 and w.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n. Let p(a) = 96*a. Let k(d) = -18*o(d) + p(d). Let v(t) = -4*t - 28. Let u(b) = -k(b) - v(b). Let j(s) = -s**2. Determine u(j(w)).\nAnswer: 2*w**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 0.2, -1418, 0.1 in decreasing order.\nAnswer: 0.2, 0.1, -14, -1418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*a - 2 - 5*a + 0*a + (-5 + 4 + 9)*(1 - a - 1) - 2*a + 3*a + 5*a.\nAnswer: 7*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 6*z - 4. Let g be r(5). Let s = -1.227 + 1.427. Is g at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5584 + -5440. What is the remainder when 380 is divided by x?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3149906944 and 1024?\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**2\/2 + 23005*w + 105846005\/2 = 0 for w.\nAnswer: -4601","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -146 + 206. Calculate the lowest common multiple of (-5)\/x*-6*102 and 18.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*y + k + 474 = -203, -5*y + 963*k - 967*k - 72 = 18 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458836 is divided by 626?\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1251949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (172 - 186) + (-100)\/(-7). What is the closest to p in 662, -1\/7, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/9 and 51\/316.\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9937387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -44*r**3 + r. Calculate g(-1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**2\/2 + 11*v + 106. What is o(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 7598340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*x**2 - 6795 - 44*x**2 + 6764.\nAnswer: x**2 - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1430581105, -1430581102, -1430581097, -1430581090, -1430581081?\n\"Answer: o**2 - 1430581106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u - 3 + 3)*(8 - 19 - 17 + (-2 + 2 - 2)*(-2 + 4 - 4))*(-9 - 3 + 6)*(6*u - u - 3*u) to d*u**2 + c*u + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -153 and 24961.\nAnswer: 24808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/4 and (-140)\/(-8)*7\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i - 31. Let a be c(-31). Solve -8 = -x - a*x - 3*q, 0 = -q + 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**4\/13 - 10914*i**3\/13 + 551132*i**2\/13 + 2379024*i\/13 = 0.\nAnswer: -5507, -4, 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, g: 2, x: 2}. Give prob of sequence xfg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 + 17 + 4 = -4*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 65*v. Let h(r) = -66*r + 1. Let k(j) = -5*h(j) - 6*i(j). Calculate the remainder when k(-2) is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 4. Suppose 2*f + 2 = r. Suppose 45 = 3*p + 3*s, 4*p - 2*s - 18 = 3*p. Calculate the greatest common factor of f and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z. Let i be d(-4). Suppose -i*q + 10 = 26. Which is greater: -5 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**3 - 51*d**2 + 0*d + 50*d**2 - d + 2 to h + p*d**2 + l*d + c*d**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100001000 (base 2) to base 12.\nAnswer: -1a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.953277 rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -33225*d - 1281008 + 1281008 in the form s*d + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**5 + 5452*i**4 + 3726418*i**3 + 14818568*i**2 = 0?\nAnswer: -1361, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217026 + 217026 - 3*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -154 + 699. Let y = g + -534. What is the lowest common multiple of y and 93?\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2087, 13800, 45675, 107822, 210351, 363372?\nAnswer: 576995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -3*s - 2*f, -174*s + 2*f + 14 = -170*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -2 - 9)\/(6\/3 - -4)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6247, 25101, 56523, 100513, 157071?\n\"Answer: 6284*l**2 + 2*l - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**3 - 8183341*t**2 + 8183341*t**2.\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15891968 or -0.1?\nAnswer: -15891968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66381?\nAnswer: 3, 7, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -40, -5, 0.09, 1\/1786, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -1. Let q = -9193 - -73547\/8. Let s = -14 + 27\/2. What is the closest to s in -4, q, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 14b4?\nAnswer: -14b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (-12)\/15*-5*-1. Let n(o) = 3*o - 12*o**2 - 21 + 21*o**v + 17. Let p(u) = 5*u**2 + 2*u - 2. Determine 4*n(w) - 7*p(w).\nAnswer: w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**7\/a**6)\/(a*a**0*a)**(-18))**(-9) assuming a is positive.\nAnswer: a**(-333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-32)\/(4\/24*-3). Suppose 2*h - 4*s = -2*h - q, 3*s = 4*h + 62. Let l(f) = -f**3 - 15*f**2 - 15*f - 14. Let c be l(h). Solve 5*k - 10 = -c*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l. Let d(j) = -j**2 - 2*j + 170. Let s be d(-14). Let y(p) = 5*p. Give s*k(a) - y(a).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222815 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.82042 and 0.06.\nAnswer: 0.1692252","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -51496, -102988, -154480, -205972, -257464, -308956?\n\"Answer: -51492*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -28. Which is the second biggest value? (a) 2\/7 (b) -1\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**5\/6 + 845*k**4\/6 - 111689*k**3\/6 + 622213*k**2\/2 - 1025568*k + 953370 = 0 for k.\nAnswer: -963, 2, 15, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -180, -356, -518, -666, -800, -920, -1026?\n\"Answer: 7*w**2 - 197*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -31320100?\nAnswer: 31320102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27264613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 13, y: 3}. What is prob of sequence oyo?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of 82*o**3\/3 - 200*o**2 - 3*o + 23. What is the derivative of v(m) wrt m?\nAnswer: 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23.95 + -24. Let h = -96 - -387\/4. Which is the second biggest value? (a) h (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*m**4 + 10*m**4 - 19*m**4 - 3*m**2 + 2 as y*m + h*m**2 + p*m**4 + j + a*m**3 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 83209.2 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, l: 1, m: 5, g: 11, q: 2}. What is prob of sequence lag?\nAnswer: 11\/6840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*t + 24*t. Solve -2\/3*v**4 + 2\/3*v - 2*v**2 + 2*v**3 + t = 0 for v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7574617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a - 1 + 8 - 20*a - 2. Let b(p) = -810*p + 270*p + 275*p + 270*p - 1. Suppose 3*w = -10 - 2, -s + 10 = -3*w. Give s*x(d) - 9*b(d).\nAnswer: -3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 21662*z - 238364. Give b(11).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 3) + 6111\/(-6105). Let r = m + -538\/185. Calculate the common denominator of r and 103\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 66 - 64. Which is the third biggest value? (a) -3 (b) -0.2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 5. Let r be 3*(-2*5\/30 - 0). Let n be 12\/63*(z\/6)\/r. Which is the nearest to n? (a) -2 (b) 2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25756 times 261\nAnswer: 6722316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrwrrwwrrrlrlwr. Give prob of picking 1 r, 1 l, and 1 w.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/180*-4)\/(-1)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 9:35 AM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*y - 29844 = 312*y + 56*y + 359*y for y.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 - 40 - (15 - -27)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89 + -280. Let x = f + 372. Solve 1 = x*q - 4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, y: 4, n: 5}. What is prob of sequence ynrn?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 249 - 265. Suppose -2*h + 7 = -3*p - 9, -5*h + p = -27. What is the least common multiple of h and -6 + (-13)\/(13\/y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 7*g + 7. Let v be d(1). Solve -v*j + 13*j = 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 10*n**2 - 381*n - 3163. What is z(45)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3\/4 - 330625*d**2\/4 - 661235*d\/4 - 330615\/4.\nAnswer: -5*(d + 1)**2*(d + 66123)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence taww when four letters picked without replacement from awwtwaawwwtwwwdw?\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2*g)**(2\/115) assuming g is positive.\nAnswer: g**(6\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 448\/48 - (-2)\/(-6). Find the common denominator of (((-27)\/(-6))\/j)\/((-9)\/(-453)) and 43\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6614.\nAnswer: 2, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3715197 and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15728 - 14058. Does 126 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**7\/630 + v**6\/240 - v**5\/30 + v**2. Let n(x) be the third derivative of g(x). Let p be 4*((-13)\/2 - -3 - -3). Give n(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -707381.035 to the nearest one hundred.\nAnswer: -707400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**4\/12 + 11*v**3\/6 + 2*v**2 + 17. Let x be 6\/(-3 + (-36)\/(-16)). Calculate g(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000086891754 rounded to seven dps?\nAnswer: -0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 - 16*m + 13. Let q be r(7). Let a be (-9)\/(-48)*-4*1\/q. Factor 0 + 3\/4*n - 3\/4*n**2 + 3\/4*n**4 - a*n**3.\nAnswer: 3*n*(n - 1)**2*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17916, -6, -2, 33 in decreasing order.\nAnswer: 33, -2, -6, -17916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3111929141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 8, o: 3, e: 5}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 188?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence clo when three letters picked without replacement from llllltctllftcfcto?\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-360)\/(-135)*((-335)\/(-340) - 1)\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o - 11. Let m be r(-7). Suppose 0 = -4*w - 5*i + 309, 2*i - 279 = -4*w + m*i. Calculate the remainder when w is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7032 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 56712 (base 11) in base 12?\nAnswer: 3b597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-128196)\/1458 - 6 - 4\/54?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4943 = 403*z + 5838 + 12015 - 3855 for z.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-6)\/(-3) - (-1 + 3). Suppose 4*z = 5*t - 30, 0 = -3*t - 3*z + 2*z + 1. Solve -l - t = -w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of l**5\/120 - 9*l**4\/32 + 13*l**3\/24 - l**2 + 5. Factor t(n).\nAnswer: (n - 13)*(2*n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vxhvrkw. What is prob of picking 1 h, 1 w, and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 2*w - 25 = -3*b, -2*b = 4*w - 2. Suppose -3*u + h + 98 = -h, 0 = -b*u - 4*h + 200. What is the highest common divisor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 - s**3 - 16*s**2 - s**3 + 8*s**2 - s**2 + 175*s.\nAnswer: -2*s**3 - 9*s**2 + 175*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 8*r**2 - 3*r - 5. What are the prime factors of w(4)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -6*h**2 - 13. Let w(m) = 18*m**2 + 38. What is -6*w(v) - 17*y(v)?\nAnswer: -6*v**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x - 3. Let o(u) = u. Let q(i) = -d(i) - 3*o(i). Let n be q(0). Solve 6*r - 15 = n*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2001437.\nAnswer: 23, 173, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(-3)\/30*-5. What is the first derivative of -2*i**s - 3*i**2 + 1 + 9*i**2 wrt i?\nAnswer: 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 300 = -127*h + 122*h, 4*h = 4*y + 224. Let b(i) = -i**2 - 4*i + 1. Calculate the remainder when h is divided by b(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w + 6. Let k be n(4). Let b be (-550)\/k - (-2)\/6. Let q = b + -13. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**5\/3 - 15632*g**4 + 274998128*g**3\/3 - 366476608*g**2 + 1099242272*g\/3 = 0.\nAnswer: 0, 2, 11722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 minus -13410099597957?\nAnswer: 13410099597957.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1900 and 14440.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*q - 43*q = -13. Let x = q - -51. Suppose 5*c = v + 109, 3*c = 5*v + 32 + 29. Calculate the remainder when x is divided by c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of 169*n**7\/210 - n**5\/20 - 89*n**4\/3 + 16*n**2 - 8*n. Find the second derivative of i(s) wrt s.\nAnswer: 2028*s**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 922342966 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 10800, 3, -1, -13 in descending order.\nAnswer: 10800, 3, -1, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -1678*c**3 + c**2 + 18*c - 2. Is h(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a**3 - 62*a**2 - 196*a - 2376. Give w(-15).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6364024 + 6364026.3999976. Let x = 91.6 - 94. Let i = q + x. Round i to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 564 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**4 - 4*f**3 - f**3 + 18*f**2 + 369*f - 1 - 370*f + 3*f**3 to g*f**2 + w*f + s*f**3 + p*f**4 + t and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -15*j + 201. Give i(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 36, 45, 68, 111, 180, 281?\nAnswer: 420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46850 + 702748\/15. Suppose o = -o + 6. Let q be ((-1)\/o)\/(-1 - -2). What is the second biggest value in d, q, 1\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -7325, -14402, -21219, -27776, -34073, -40110, -45887?\n\"Answer: 130*f**2 - 7467*f + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*d**2 + 120*d + 4 - 33 + 11*d**2 - 143*d as b*d**2 + x*d + y and give y.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*v + 30, -15 = 3*v - 5*i + 37. Let r(g) = -g**2 - 2*g - 6. Let l be r(-12). Let h be (-1)\/v + (-742)\/l. Solve -4 = -2*m + h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 11 - 12*k - 26 + 16 + 10 + 3. Let a(d) = 9*d**2 + 1. Let w be a(-1). Determine g(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1203 - 1202.2. Put 0.02, -5, g in decreasing order.\nAnswer: g, 0.02, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -594 divided by -66\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 33. Let x(m) = m**2 + 7. Does 11 divide x(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 - 4*w - 190 - 258 + 571.\nAnswer: -2*w**2 - 4*w + 123","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: 13.8*11671\nAnswer: 161059.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**4 - 5*q**2 - q**2 + 4 + 2*q**4 + 2*q - 2*q**3 + q**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 12:12 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**5 - 77*j**4 - 641*j**3 + 15989*j**2 + 51330*j + 34776 = 0.\nAnswer: -63, -23, -2, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 253*x + 814. Calculate y(-6).\nAnswer: -704","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 336353541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - 21 - 12 - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 n when two letters picked without replacement from {r: 2, n: 4, q: 5, s: 1, a: 2, y: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -14*k - 5. Let r(w) = 7*w + 2. Let y be -2*4\/(-14) + 114\/21. Let g be y\/2 + (-6)\/(18\/15). Calculate g*v(b) - 5*r(b).\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1042.42816 to the nearest ten.\nAnswer: -1040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5642.\nAnswer: 2, 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -437489\nAnswer: -16\/437489","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-4))\/((-6)\/(-8)). Let h = 0 - -1. Suppose -q = -a + q - h, 3*q = 6. Put a, 0, u in descending order.\nAnswer: a, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -1.1248?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/6*-6)\/(36\/(-36)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18161225461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -5*m + 9610, 0 = -a + m + 1757 + 659. Does 58 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o + 20*o + 5*c = 377, 3*c = -9. Calculate the highest common divisor of o and 1127.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -265*((-246)\/(-180) - (-1)\/(-6)). Let g = 444 + b. What is the lowest common multiple of 77 and g?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3123640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -302, -1164, -2600, -4610, -7194, -10352?\nAnswer: -14084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 2*o**2 - 11*o + 10. What is n(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 4*o**2 - 12*o**3 + o + 0*o - 3*o + 13*o**3 to the form g + q*o**3 + a*o + s*o**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48331767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 43 - 167*p + 689*p + 28. Is u(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 245 + 5344105?\nAnswer: 5344354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8412 and 2190.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is -145 (base 11) in base 7?\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-28930\nAnswer: -5786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3653.2 - 3653.59834. What is i rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h*k**2*z + 3*h*k + 151760*h*z**2 - 154*k**2*z**2 + 472*k**2 wrt h?\nAnswer: 2*k**2*z + 3*k + 151760*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 10*u + 10. Let n(z) = -z**2 + 18*z - 25. Let s be n(16). Let m be t(s). Suppose 8*y - m = 56. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*1)\/((sqrt(200) - (sqrt(200) - (3*sqrt(200) - sqrt(200)))) + sqrt(200)) + -4 + ((-4*-1*sqrt(95))\/((sqrt(150)\/sqrt(3))\/sqrt(10)))**2.\nAnswer: sqrt(19)\/15 + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((3 - 6) + 3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzgzgg. What is prob of sequence zggz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -85*z**3 - 2560*z**2 - 7185*z - 810 = 0.\nAnswer: -27, -3, -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = 7*g - 11*g. Suppose 0 = -0*l - g*l + 76. Solve -5*k - 1 = 5*c + l, 5*k + 45 = 5*c for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d**3 - 95*d**2 - 475*d - 2. What is k(28)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*d - 1623 = 1271, 2*d - 8696 = -3*i. What is the thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -3*g + 25, -g - 2531563 = -4*y - 2531574 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310121 (base 7) to base 4.\nAnswer: 30322112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1284 + 12829\/10. Which is smaller: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/453 and 43\/2262.\nAnswer: 341562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 346*u - 33724 - 4900 - 5664. What is the remainder when 565 is divided by u?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87838 is divided by 2142?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69.22 - -69. Let m = 55 - 54. Are m and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*z**2 + 46*z**2 - 4622*z + 4622*z + 53*z**2 + 56*z**2.\nAnswer: 37*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3*-8.2114\nAnswer: -24.6342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76271.18 nanometers to micrometers.\nAnswer: 76.27118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2034400867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 564885385 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - 7. Suppose -5*t + 1145 = -5*o, -7*t + 4*t - o + 699 = 0. Calculate the highest common factor of p and t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2128 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**2 + 2*c + 66 + 2*c + 23 - 89.\nAnswer: -5*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (111\/(-15) + 9)*(-10)\/4. Let w be (-16)\/(96\/(-207))*r\/(-3). Calculate the highest common divisor of 138 and w.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/9 (b) 4 (c) 8.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 255683 to the power of 1\/2, to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 6 - (-2 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-52))\/((-3)\/(-4)). Suppose -6*k + 4*k - 6 = 3*h, -5*k + 5*h = -10. What is the closest to -4 in 1, k, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -416, 647, 4, -56 in decreasing order.\nAnswer: 647, 4, 2, -56, -416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 344.1 * 4\nAnswer: 1376.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/7 (b) -1\/4 (c) 2 (d) -20.6018 (e) -0.5 (f) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-20) - (-672)\/120. Solve -8 = 4*r + 3*o, -3*o - 4 = -z*r + 8*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -16. Let a(y) = 10*y**2 - 6*y - 1. What is the tens digit of a(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - u + 14. Give n(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4197 - -8308. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2*z)**(9\/10)*(z*z**(-2\/19)*z)\/z**1*((z*z**(1\/3)\/z*z*z)**(-33))**(-9\/4) assuming z is positive.\nAnswer: z**(67201\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -240485541, -240485538, -240485535?\n\"Answer: 3*u - 240485544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.014 and 874.5627058404.\nAnswer: 874.5487058404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -9*u**3 - 2*u**2 + 163*u - 162. Calculate y(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-837)\/372)\/((-45)\/6)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/2)\/(((-4365)\/19260)\/97). Is -2 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79 - 715\/9. What is the closest to 0.2 in -5, a, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.02 - -0.02. Let d = 0.11 + 1.89. Let o = i + d. What is the closest to o in -5, 1\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 2*o + 2. Let k(i) = -4*i**2 + 7*i + 7. Let b(u) = 7*a(u) - 2*k(u). Let q(n) = -3*n. Determine q(b(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 470407 and 301903?\nAnswer: 20227501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 6:58 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 189078 or 963?\nAnswer: 189078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 26340269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - -11) + 14 + 11 + (12 - (-11 + -1)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-42))\/(3\/(-9)). Let q be ((-65)\/26)\/(16\/64) + 13. Factor 4\/7 + 4\/7*i**q - 4\/7*i - k*i**2.\nAnswer: 4*(i - 1)**2*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -6*h + 3*w + 1050012, -2*h + 5*w = -700020. What is h rounded to the nearest 10000?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/498206371 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 39*i**2 + 91*i + 496. Calculate t(-10).\nAnswer: 3486","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -113 or -0.0513?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8038.\nAnswer: 2, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 5:42 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-501*h**2 + 126*h**2 + h**2)*(-h - 2*h + h)*(5*h - 5*h + 7*h) to g*h**4 + r*h**2 + z*h**3 + p + n*h and give g.\nAnswer: 5236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10530517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 3:47 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -24 + -19 - (5 - (-25 + 21))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 55019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -590*p + 560*p + 420 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1bb3e + -5d?\nAnswer: -1bb9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -8*s**3 - s**2 - s + 1. Let h be n(1). Let v be h\/(-18) + 1\/(-4). Factor 0*o + v*o**5 - 1\/4*o**3 + 0 + 0*o**2 + 0*o**4.\nAnswer: o**3*(o - 1)*(o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 99*p - 2. Is 6 a factor of y(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wgwdgensgdd. Give prob of picking 1 n, 1 s, and 1 g.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 64 = -364. Let a = -73 + t. Determine z so that -5\/3*z**3 + 1\/3*z**a + 2\/3 - z**4 + 5\/3*z = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -675290 or -675389?\nAnswer: -675290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from {x: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40290 and 5100.\nAnswer: 402900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1156489340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222\/2 + (28 - 30)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - 0) + 0 - -654. Suppose 5*y - 3*f = n, 3*y + f + 0 = 394. Let k = y + -76. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: 13\/(-13)*11\/((-220)\/(-300))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 minus -0.0297952183?\nAnswer: -1.0702047817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p**2 + 4*p. Let x(t) = 5*t. Let h be x(1). Let j(g) = 6*g**2 - 5*g. Let k(r) = h*f(r) + 4*j(r). Let b(o) = 2*o**2. Calculate b(k(q)).\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.17 take away 4587?\nAnswer: -4585.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 7*l**2 + 234*l + 12. What is g(-33)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 54*(-5)\/(-2)*(-5)\/(-25). Calculate the highest common factor of c and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 322 divided by -1977496.\nAnswer: -161\/988748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2. Let q(u) = -30106*u. Give q(t(f)).\nAnswer: 30106*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1631\/1398*4\/14?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 74 - -39. What is the derivative of 2260*j - 2169*j + s + 0 wrt j?\nAnswer: 91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 23426 = 3295. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 17, 9, -3, -19, -39?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 215073016 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -223440120310?\nAnswer: -223440120320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -12*g + 6. Let i be z(-9). Suppose -3*h + 28 = -2*h + 2*p, 3*h - 4*p = i. Calculate the remainder when h is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*((p*p*p\/(p*p**(11\/5)*p))\/p)\/p*p*p**(-1\/3))**(-17) assuming p is positive.\nAnswer: p**(391\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -15796, 4, 0, -10 in decreasing order.\nAnswer: 6, 4, 0, -10, -15796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15.7 - 16. Let p = -5 - -4.6. What is the second biggest value in p, n, -2\/11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k + 1. Let g(u) = -1. Let n(j) = g(j) + s(j). Let z(d) = -3*d**2. What is n(z(t))?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 - 2*u - 50. Suppose 6*p = 85*p - 5*p. Determine x(p).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t - 46476 = -857689. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*t - 122 = -86*t. What is the closest to -1 in -2\/7, t, -1\/112, -2\/9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*t + 156, -92 = t - 3*t - 3*q. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 125790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -330, 0, 1\/2, 2\/11, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -341 (base 6) to base 7.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2431 + 6*i**2 - i**2 + 511 - 3*i**2 to p*i + g*i**2 + f and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/3 + 6*l**2 + 2*l\/3 - 6.\nAnswer: -2*(l - 9)*(l - 1)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g + 2*g**4 - 4*g - 5*g + 14*g**3 + 22*g**2 + 11*g = 0 for g.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4945362 to the power of 1\/2, to the nearest integer?\nAnswer: 2224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -4*x + 1440, -5*x = -2*x + 15. Suppose 0*q - 179 = -3*d - 5*q, -4*q - w = -4*d. What is the remainder when d is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6 - 5*i + 10*i**2 - 6*i**2 - 3*i**2. What is q(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15874208*z**2 + 14283489 wrt z.\nAnswer: -31748416*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 0.4, 0, 4, 2.1, 0.6308?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*d - 14, 8*d - 6 = 103*s - 108*s + 4*d for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -103977, -207986, -312033, -416136, -520313, -624582, -728961?\n\"Answer: -3*s**3 - s**2 - 103985*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1398080*d**3 - 1080089*d**3 - 4181939*d**3.\nAnswer: -3863948*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**8\/120960 - v**7\/10080 - 19*v**5\/20 + 4*v**2 - 8*v. Let x(t) be the third derivative of s(t). Factor x(i).\nAnswer: -i*(i + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 = -23*u + 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2639 = 188*d + 3753 for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-4) - (1 + (-55)\/10). Let v = 104.08 - 104. Which is the fourth biggest value? (a) x (b) -2 (c) v (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 192764*x - 2313081. Give r(12).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -a86 (base 13) to base 11\nAnswer: -1397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 m when four letters picked without replacement from {m: 3, y: 5, c: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.298, -5, 26, -1\/8.\nAnswer: -5, -1\/8, 0.298, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.6, 0.01, 40\/263?\nAnswer: 40\/263","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27957, 106515, 237445, 420747, 656421, 944467?\nAnswer: 1284885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 43471903 and 1.\nAnswer: 43471903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 264 + -405?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - d - 3 = 0, 4 = -5*n - 2*d - 2. Let b = n + 63. Suppose -5*v = -15 - 20. What is the greatest common factor of b and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7*s + 89. Let f = 56 - 68. Let t be m(f). Solve t*o = 14 + 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 2\/7 (c) 0.1 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-2 - -6) - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q - 198 - 4724 = 58*q + 2108 for q.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, -270, 5, -0.3, -16?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14463181\/146990220 + 2\/237081. What is the common denominator of -55\/248 and q?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - -12) + (-3 - -2) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 88862*f**2 + 94051.\nAnswer: 177724*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 236, 471, 706, 941, 1176?\nAnswer: 1411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqafzqqqffazbzqfafqb. What is prob of picking 2 a and 2 f?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18459869 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3) - (-7)\/(-21)) + (-8)\/(-8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 32, 10 in descending order.\nAnswer: 32, 10, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -7 + (9 - 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*q = 1210, -4*q + 725 = 3*r - 3*q. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30140 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 - -2.1. Let q = 2.49999939 - i. What is q rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -13*r**2 - 43*r + 1. Let z(o) = -o**2 - 3*o + 2. Determine -y(q) + z(q).\nAnswer: 12*q**2 + 40*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 26680 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 = 5 - 5. Suppose n*i = -2*i + 4. What is the units digit of (-1 - -2) + (i - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -6*(0 + (sqrt(612) - (sqrt(612) + -1 + sqrt(612)))))**2.\nAnswer: -792*sqrt(17) + 22153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, c: 2}. Give prob of sequence cyy.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-5))\/(4\/(-10)). Suppose -v - p*b + 388 = 0, 0 = 5*v + 3*b - 2868 + 880. Suppose 5*d - v = -3*d. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 5 (c) 0.1 (d) -7.96 (e) -1\/4 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*h - 187*h - 51*h to the form g + t*h and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 849 (b) -22.77 (c) -2\/9 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 707*x - 612*x - 2509520. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 + 19*s**3 + 10*s**3.\nAnswer: 27*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 35*x**2 + 7*x + 294. List the prime factors of q(-6).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 12. Suppose -4*y - t = 4*t + 45, -3*y + 5 = -a*t. Let r = 3.89 - -0.11. What is the biggest value in -0.4, r, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 221*n**4\/2 + 338*n - 157. Find the first derivative of g(f) wrt f.\nAnswer: 1326*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2460 (base 7) in base 9?\nAnswer: -1236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c - 15 = -4*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -101, -420, -951, -1694, -2649?\n\"Answer: -106*g**2 - g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l - b - 51 = 0, 154*b + 20 = 2*l + 151*b for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*n - 4\/5*n**2 + 6\/5*n**3 + 0.\nAnswer: 2*n**2*(3*n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 166821 (base 11) to base 16\nAnswer: 3ef52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 686 a factor of 9448331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57 + 39. Let g = 15 - n. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 2*c - 24. Let j be r(4). Let x(l) = -7*l + 115. What is the hundreds digit of x(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a + 1. Let u be r(3). Let c be 0 - (-4)\/(3 - 1). Let s(x) = 0 - x**c - 3 + 2*x**2 + 4*x. Calculate s(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*j**3 + 2*j**3 + 0*j**3 + (-2*j**3 + 2*j**3 + j**3)*(-1 + 1 - 2) + 965 + 6*j**3 - 944 - 3*j**3.\nAnswer: -2*j**3 + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-4))\/((-15)\/(-420)))\/((-42)\/21).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-10) - 426\/15. Let f be (t\/6)\/(12\/(-18)). List the prime factors of 44\/f - 2\/7.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.831 - 9.9. Let w = 5363 + -5363.06978. Let x = d - w. Round x to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4281, -8568, -12855?\n\"Answer: -4287*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3041076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((3 + -6 - 0) + 5)*-6. Let a = b + 14. Suppose 5*y + 2*s - 83 = 0, -6*s + a*s = 5*y - 91. Calculate the remainder when 29 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -793 = -1404*w + 1343*w for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, s: 2, x: 1, c: 1, f: 3}. Give prob of sequence ff.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 22421221200?\nAnswer: -22421221141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 548162366264.\nAnswer: 548162366268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 160 - 2?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -3457534?\nAnswer: -5\/3457534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kafyyvvrfyyvkkykyy. Give prob of sequence vy.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298131418?\nAnswer: 2, 13, 41, 149, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 4054954476.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c = -3 - 24. Find the common denominator of -43\/6 and (-905)\/165 + (-2)\/c.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05 + -0.25. Let p = 12 - 17. What is the closest to -0.1 in m, p, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3774 by 1.\nAnswer: 3774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -1 + (-5 - (-3 - -2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 + 62. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/4)\/(10\/80). Let f be (-1 + 2)\/((-1)\/x*5). Suppose -110 = -f*v + 32. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3283440 * 0.02\nAnswer: -65668.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 971473227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**2 - 32*z + 12. Let v be t(19). Calculate the highest common factor of v and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42131.841 rounded to the nearest 100?\nAnswer: -42100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2369 + -1372. Let g be (-65)\/(-26)*-15*4\/(-50). Suppose 40 = -g*s + w. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 43.6684 decades?\nAnswer: 0.436684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/39, 0.1, -3\/7, 1.6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3433 + -3435. What is the fourth smallest value in 5, z, 584, -5, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 5, -0.04, 42, 34 in ascending order.\nAnswer: -0.04, 1, 4, 5, 34, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 543 + 451. Suppose 11*a = 260 + v. Calculate the remainder when a is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 625.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -13*b**3 + b**2 - 3. Let z(x) = -3*x**3 - 1. Let r(c) = -2*d(c) + 9*z(c). Suppose 0 = -3*p + 4*y - 1 - 23, 3*p + 2*y = -24. Is r(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/((-88)\/(-858)))\/((-9)\/(-8)). Let f(y) = y**2 - 3*y - 24. Let j be f(7). Suppose 11\/3*h**3 + o*h**2 - 8\/3 - j*h - 4*h**4 - 5\/3*h**5 = 0. What is h?\nAnswer: -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 m when two letters picked without replacement from {o: 7, v: 1, x: 4, m: 4, z: 2}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 572 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19099 + 19159. Solve -h = -68 + y for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - w = -5, -3*w - 15 = x - 8. Suppose -4*r = -5*n - 1048, -x*r - 2*n = 126 - 632. What are the prime factors of r?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 51*n**3 - 6*n**2 - 20. Let o(r) = 52*r**3 - 5*r**2 - 22. Let m(c) = -5*f(c) + 6*o(c). Differentiate m(d) with respect to d.\nAnswer: 171*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from etwgwehwhhewwh. What is prob of picking 2 w and 1 h?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 52391.97 millilitres in litres?\nAnswer: 52.39197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 25*p**2 + 26*p + 4. Let u be m(-26). Solve -u*s**2 + 0*s**3 + 25*s + 4*s**3 - 33*s + 0*s**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 1 (c) -231 (d) -78\/7 (e) 38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 617*a**3 - 614*a**3 + 15*a**2 - 79*a**4 - 17*a**2 in the form q*a + n*a**2 + w*a**3 + p + m*a**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 33.51178 millennia?\nAnswer: 402141.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -9. Let g = -3 + k. Let q = -2 - g. Which is the second biggest value? (a) 2\/11 (b) -2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 17 + 49. Let s(x) = -x**2 + 13*x + 1. Let f be s(13). Let y be 6 - -17 - -1*f. Calculate the highest common divisor of i and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31404*i**6 - 3*i**5 - 2*i**4 + 431996*i**2 wrt i.\nAnswer: 3768480*i**3 - 180*i**2 - 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -22 (b) -2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -304 - -401127?\nAnswer: 400823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1166 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbqi when four letters picked without replacement from bqssxsimqssibqs.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 + 0*i**2 + 7*i**3 - 9*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -p + 5, -4939*p - 11 = -4940*p - 7*l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3180*x**4 + 851952*x**3 + 772827*x**2 + 177027*x + 1602 = 0. What is x?\nAnswer: -267, -1\/2, -2\/5, -1\/106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-3 + 12)) + 1 + 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 5. Let s(t) = 7*t + 3572 - 3*t - 3558. Determine 11*h(r) - 4*s(r).\nAnswer: -5*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c - -a?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 324 and 98676?\nAnswer: 888084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s - 1. Suppose 5*c + 7 = g, 4*g + 10 = 5*c - 4*c. Let a(h) = h**2 + 3*h + 6. Let i be a(g). Give v(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1159 and 1165 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s**3 - 4*s. Let h(w) = -28562*w**3 + 28550*w**3 - 8*w - 3*w. Let c(j) = j - 2. Let l be c(10). Calculate l*u(r) - 3*h(r).\nAnswer: 4*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 52, 1, -1 in decreasing order.\nAnswer: 52, 16, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 4*z - 3. Suppose 3*x - 17 = -2. Let b be v(x). Suppose 2*u + 2*r + b = 0, 4*u - 21 = -0*u + r. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 479168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -7*l**2 - 41*l**2 - 18*l**2 + 31*l**2. Let g(q) = -2*q. What is m(g(b))?\nAnswer: -140*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (900\/(-42))\/(-5) + -2*2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**2\/2 + 301320345*n + 18158790062183805\/2 = 0 for n.\nAnswer: -60264069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/434809 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12269)\/(-9) - (-5)\/(585\/(-26)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37444985 by 2965.\nAnswer: 12629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 - -45. Put c, -11, -1\/3 in ascending order.\nAnswer: -11, -1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 - (0 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 11:45 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14017454 < 14017419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.014 and -870?\nAnswer: -12.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 37067504 divided by -9943\nAnswer: -3728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*1\/(1 + 0). Let c(l) be the third derivative of l**6\/120 + l**5\/15 + l**4\/24 + 5*l**3\/6 + l**2 - 4992*l. Calculate c(j).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1808327?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c**3 + 105*c**2 + 864*c + 739731?\nAnswer: -3*c**2 + 210*c + 864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 40 - 13. Suppose -3*y + 12 = 0, -3*g - 2*y + z = -0*y. Calculate the remainder when ((-99)\/(-44))\/((-6 - -3)\/(-121 + 5)) is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 12:43 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*p + 6*p + 3*f + 3, 0 = -2*p - f - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 11:44 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 12*g**2 + 32*g + 19. Let n(w) = 829*w - 1651. Let t be n(2). What is s(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 12 = -4*m - 2*v, -v = -m + 4. Suppose -29 = -5*s - 2*k + 77, -6 = -2*k. Suppose 5*z = o + 12, -z - 5 + s = 4*o. Solve z*b + 0*b - 6 = m for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/(-2))\/((-3)\/2). Suppose 2*g - 2 = 5*g + 4*h, -2*g - 1 = 3*h. Let z be ((-3)\/g)\/((-6)\/(-16)). What is the highest common factor of a and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - s)*(-s**2 + 4*s**2 + 0*s**2) + s**3 + 6*s - 6*s in the form r*s + m*s**3 + u*s**2 + b and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/254254 and 17\/1232.\nAnswer: 2034032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-229*t - 2*t + 57*t)*(-32 - 11 - 19 - 3 + 5).\nAnswer: 10440*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20798281 or 20798279?\nAnswer: 20798281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 20*t + 153. Let z(d) = 9*d + 68. Let o(r) = -4*f(r) + 9*z(r). Let k(x) = 4015*x**2. Determine k(o(q)).\nAnswer: 4015*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 44\/198 - 31208\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 - 69. Let b(s) = 30*s**3 + 2*s**2 - s - 1. Let d be b(n). What is the greatest common factor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k**2 + 7*k - 1. Let n(a) = 5*a**2 - 6*a + 1. What is -2*f(r) - 3*n(r)?\nAnswer: -5*r**2 + 4*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 136\/1530*(12\/16 + 0). Let w(r) be the first derivative of 2\/5*r**2 - i*r**3 - 3\/5*r + 10. Factor w(s).\nAnswer: -(s - 3)*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12169 and 387.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (140\/(-30) - -4)*-591*178\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*y + 40, 0*i + 4*y - 28 = 3*i. Let x(g) = -g**2 - 11*g + 5. Let c be x(i). Sort c, 2, 5 in increasing order.\nAnswer: c, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10416 divided by -496\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of h**7\/840 + h**6\/120 - h**5\/24 - h**4\/6 + 2*h**3 + 10*h**2. Let b(z) be the first derivative of k(z). What is b(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 8, -48332 in increasing order.\nAnswer: -48332, -2, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3 + 0*p - 3*p + 0. Let k(x) = 4*x + 10. Let z be k(-6). Let f be 4\/(-14) + (-32)\/z. Determine s(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 26*y**3 + 101. Let b(u) = u**3 - 1. Let n(l) = 5*b(l) + w(l). Differentiate n(m) wrt m.\nAnswer: 93*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -253 - -155021?\nAnswer: 154546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1585526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 k when three letters picked without replacement from {q: 2, k: 6}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1781, 1824, 1867, 1910, 1953, 1996?\nAnswer: 2039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -8*n - 16 - 2*n**3 + 6*n**3 - 10*n**2 - 3*n**3. Calculate the remainder when p(11) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.17 - 7.47. Let x = r - -7. Let w = -0.09 + 1.09. Which is the smallest value? (a) 4\/7 (b) w (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -66376355?\nAnswer: -66376356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17.1 - -3.1. Let t = 17 + p. Let r = -2.5 + t. Sort 5, r, 4.\nAnswer: r, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2431245.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 4914.\nAnswer: 4914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -314, -1030, -2230, -3914, -6082, -8734, -11870?\n\"Answer: -242*t**2 + 10*t - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/sqrt(6))\/sqrt(5) + -5 + sqrt(11) + 2.\nAnswer: -3 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllcllc. Give prob of sequence lll.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v = 154 - 14. What is the remainder when 53 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h**3 - 39*h - 17*h**2 - 5*h**3 + h**3 + 15. Let v be n(19). Let i(u) = u**3 + 3*u**2 - 3*u + 2. Give i(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*2\/(-12)*-2)\/(84\/924).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**6\/60 + 37*x**5\/30 - 71*x**4\/12 + 35*x**3\/3 - 533*x**2. Factor o(q).\nAnswer: -2*(q - 35)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 3*h**2 - 2*h. Let c(s) = s**3 - 4*s**2 - 10*s - 8. Let q be c(6). What is k(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 289 (b) 0.6 (c) 1 (d) 74 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + 210\/(-28))\/(24\/4 + -18)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 5880?\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 2*f**2 - 22*f + 84. Let k be s(3). Solve k*z = 42 + 21 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100110 (base 2) in base 6?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.67342 centuries to years.\nAnswer: 2467.342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -410 by -304.\nAnswer: 205\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of x**5\/20 - x**4\/6 - x**3\/3 + 3*x**2\/2 + 2*x. Let s be ((-1)\/3)\/((-76)\/684). What is w(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12727, 25456, 38185?\n\"Answer: 12729*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/(-33))\/(0 - 4\/(-18))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6\/1853 (b) 8 (c) -25737 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2736) - sqrt(38)\/(sqrt(8)\/sqrt(4)))**2.\nAnswer: -44*sqrt(19) + 2303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-33)\/55)\/(9\/(-6)). Which is the third biggest value? (a) x (b) -1.8 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110\/7260*231*1\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7017761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 282274 and 22.\nAnswer: 6210028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -173955 and 40?\nAnswer: 173995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 9*h = 8. Solve -17 = -2*y + b - 6, -3*y - 1 = h*b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, i: 1, k: 4, j: 1, c: 1}. Give prob of picking 1 u, 1 j, 1 c, and 1 i.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8764 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 2 + -1 + (-6 - -9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -86106*c**2 - 6858*c. Let t(d) = 1013*d**2 + 81*d. Give -3*m(o) - 254*t(o).\nAnswer: 1016*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i. Let p(y) = -5*y**2 - 7*y + 76. Calculate n(p(d)).\nAnswer: 15*d**2 + 21*d - 228","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 165079 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/12)\/((-34)\/(2431272\/(-101)))\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 17*o**3 - o**2 - 7*o + 11. Let a(t) = 18*t**3 - 2*t**2 - 9*t + 13. Give 3*a(z) - 4*i(z).\nAnswer: -14*z**3 - 2*z**2 + z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llbbllbl. What is prob of sequence bb?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1590305 is divided by 1791?\nAnswer: 1688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -255 - -282. Suppose 2*p - 11*p = l. Let t = -3.89 - 0.11. Which is the third smallest value? (a) t (b) p (c) -2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5988766 * -1.\nAnswer: -5988766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -15 + 20 + -13 + -26\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*b - 278 = 0, -j - 26 = 2*b - 88. Calculate the smallest common multiple of j and 108.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -9 - 1. Suppose -r*l - 2*x + 52 = -x, 2*l = -2*x + 24. Calculate the remainder when 39 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5 * -11543.\nAnswer: 17314.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -1 (c) -3\/7 (d) -0.17 (e) 1\/4 (f) -47\/30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 k when three letters picked without replacement from {x: 5, l: 7, k: 1, g: 5}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132065736 by -22010956.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 0.053, 4, -5, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - q = -2. Suppose -4 = -5*g + 6. Let h be (-2)\/(-56) - g\/7. Is h <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2470*a**3 - 3*a**2 - 2324*a**3 + 4*a**2 + 1597*a**3 to x*a**2 + m + u*a**3 + l*a and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5350236 to the power of 1\/2, to the nearest integer?\nAnswer: 2313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -18 + 26 + 38 - 1?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 444834 to the nearest integer?\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 greater than or equal to -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 79\/(-316) - (-33)\/(-12). Put -4\/5, -5, -0.2, -1\/4, m in descending order.\nAnswer: -0.2, -1\/4, -4\/5, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -f - 3*d, 2*f - 3*f = -d - 1. Let j = 0.025 - 0.425. What is the nearest to 0.2 in f, 2\/7, j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, -2\/17, 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -7. Let r be 2\/(-2)*(-4)\/v. Solve 2*u**2 + 4*u - 3*u**r - 9 + 5 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x + 9*x - 20 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000064327364 rounded to 7 dps?\nAnswer: -0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3844680\/(-65205) - 1\/27?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**3 - 556*w + 230*w + 326*w.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -749614559.\nAnswer: 749614555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7815056087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2359170 is divided by 1179583.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74.3 - 74. What is the closest to 2\/5 in -1\/3, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-11)\/c)\/c*c*c**7)**(-36))**(17\/3) assuming c is positive.\nAnswer: c**1020","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 20 = -20. Let x(f) = f**3 - 2*f**2 - 3*f - 6. Let r be x(p). Solve -w - w = -3*l - 16, -2*l = -3*w + r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 2*v**2\/7 - 2570*v\/7 + 281688\/7 = 0.\nAnswer: 121, 1164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -10*p - 457. Is 11 a factor of w(-50)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-2) + 6 + (0 - 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 3:04 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 144386?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12148a7 (base 12) in base 3?\nAnswer: 20121110100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4729*j**5 - 1049*j**4 - 4*j**3 + 88401116*j**2 wrt j?\nAnswer: 283740*j**2 - 25176*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 199265.750002 - 199372.75. Let v = -107 - s. Round v to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 3:27 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6790 is divided by 116.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/17, 0.45, -1?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1955890 is divided by 536?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = -541 - 2119. Let v = b + 271. Calculate the least common multiple of v and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 143832\/36 - (-4)\/6. Let i = r + -985. Suppose 3557 + i = 4*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -1115*z - 15752. Give i(-14).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375 is divided by 126.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3648\/14 + (-42)\/(-98). Calculate the highest common factor of h and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135932471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -3238, 4, -7 in descending order.\nAnswer: 5, 4, 0, -7, -3238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17.7 and 8.7.\nAnswer: 153.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 3629?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 223 - 222.9999995185. What is x rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -74, -161, -272, -419, -614, -869, -1196, -1607?\n\"Answer: -2*z**3 - 73*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -53 - 1459?\nAnswer: -14ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8 + 26\/4 - 10\/(-12). Which is the fourth smallest value? (a) -7\/3 (b) 0.3 (c) -1 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**5\/45 - 2*c**3\/3 - 16*c**2\/9 - 5*c\/3 + 313. Factor r(h).\nAnswer: (h - 5)*(h + 1)**2*(h + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135095109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 2*k**2 - 7*k - 5. Let b be (-32)\/4 - (-3 - (2 + -1)). Let y be a(b). Let o be (2\/4)\/(y\/(-54)). Solve -13 = -4*t - 5*w, 4 = t + 2*w - o for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26805 + -12896. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, c: 1, n: 1, f: 2}. Give prob of sequence ecn.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 116\/5, -209, 6\/7 in descending order.\nAnswer: 116\/5, 6\/7, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-27)\/(-6))\/((-1)\/(-2)). Let n = d - -50. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2*2)\/(56\/(-12) + 6). Suppose 4*j - 749 + 37 = 3*q, -f*j = q - 521. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 479834?\nAnswer: 2, 29, 8273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 39 + 9 = 0. Suppose -6*g + 117 - 81 = 0. What is the remainder when w is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -685, -1237, -1789, -2341?\n\"Answer: -552*i - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, 95, -5, -6 in increasing order.\nAnswer: -49, -6, -5, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + 22\/(-4) - -4. Suppose -p + 3 = 0, 3*d - 2*p = d - 20. Which is the second biggest value? (a) d (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 8 = 3. Find the second derivative of -p - p + 172*p**3 - 22*p**q - 172*p**3 wrt p.\nAnswer: -440*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 7*k + 5. Let r be u(5). Suppose -4*o + r = -2*o. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 34887675 to the power of 1\/4, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + -1.051.\nAnswer: 1.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 2:25 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 34221 (base 6) in base 11?\nAnswer: 36a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z**4\/4 - 6905*z**3 + 5491203*z**2\/4 - 12617315*z\/2 - 1914700 = 0 for z.\nAnswer: -2\/7, 5, 205, 3736","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1107 = -3*l - d - 2*d, -4*l = d - 1491. List the prime factors of l.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 354 or 355?\nAnswer: 354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = w - 4. Let d = w + 1. Solve 1\/2*f + 1\/2*f**d + 0 = 0 for f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10a6 + 8?\nAnswer: 10b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jajajhjfakjh. What is prob of picking 1 f, 2 j, and 1 h?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, -5, 6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 + 3*b**2 - 4*b - 1. Let o be h(2). Suppose 3*r + d = -4*d + o, 3*r - 2*d = 5. Is 14\/9 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -243062\/15 or -16203?\nAnswer: -243062\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*m - 3. Suppose b - m - 16 = 0. Calculate the remainder when b is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uutt when four letters picked without replacement from {w: 2, s: 1, u: 3, t: 2, b: 2, j: 4}.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4fd + 18?\nAnswer: -4e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/17 (b) -9 (c) -2\/5 (d) 7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17 and 833.\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3 + sqrt(18)\/sqrt(9)) + -4)**2.\nAnswer: 78*sqrt(2) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/2)\/m)**35)**(-42) assuming m is positive.\nAnswer: m**(-735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**3 + 21*o**2 + 7*o**2 - 4*o**3.\nAnswer: -o**3 + 28*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7160)\/(-15)*(-40)\/(-320) + -22. Solve h**4 + 64\/3*h**3 - j*h**2 + 0 + 46\/3*h = 0 for h.\nAnswer: -23, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68265793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002304 rounded to 7 decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -p + 24 - 9, 4*a = 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*b**3 + b**3 - 8*b**3.\nAnswer: 118*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 358*v - 31680.\nAnswer: -(v + 160)*(v + 198)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**3 - 2*u**2 - u + 1. Let l be ((-3)\/6)\/(2\/(-12)). Let y be 3*1\/l*2. Is m(y) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + i**2 + 8. Let r be p(0). Suppose 0 = r*s - 4*s - 32. What is the remainder when 29 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 4\/3, -459 in increasing order.\nAnswer: -459, -0.5, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 94 - 64. Let d = 31 - b. Suppose -123*z - 18 = -132*z. Sort -2, z, -3, d.\nAnswer: -3, -2, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w**2 + 8*w + 7. Let c be q(8). Let m = 189 + c. Let j be (-1)\/(-2)*(5 - -19). What is the highest common divisor of m and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -293ba482 - 5?\nAnswer: -293ba487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -46*g**2 - 3795*g - 1942. Give m(-82).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4324 and 10224098.\nAnswer: 2162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 122, -1 in increasing order.\nAnswer: -1, 2, 3, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -333200?\nAnswer: 333130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 156 - 111. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -10*o + 8. Let b(q) be the second derivative of 1\/12*q**4 + 0*q**3 - 3*q**o + 0 + 4*q. What is the first derivative of b(f) wrt f?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (-3 + -1) - (-90 + 78)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -113.21 - -112. Let l = -28.59912 + 29.8091102. Let s = l + t. What is s rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 7 + 11*l + (-2 + 0 + 1)*(4*l - 2*l - 4*l) + 0 - 2*l + 0 - 3*l + l + 5*l.\nAnswer: 14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*x = -64, 2*x - x = c - 11. Let m be 4\/c + 11\/3. Suppose -20 = -m*p + v + 23, 2*p - 3*v = 9. Calculate the remainder when p is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3 - 2*x**2 + 5*x**2.\nAnswer: 3*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + k + 5*k + 3*k to n + h*k and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30553\/22 + -1389. Let w = -8\/11 - d. Let q = -2.541 - -3.041. Which is the third biggest value? (a) q (b) 8 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 548837?\nAnswer: 548837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-16))\/(((-744)\/(-144))\/(-31))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**3 + o**2 - o - 2. Suppose 4*w - 6 = 14. Suppose -91 = w*k + 209. Let y be (4\/10)\/(12\/k). Give l(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*b - 6 + 107*b**3 + 5*b - 108*b**3 to the form o*b**2 + z + g*b**3 + j*b and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2920697, -2920692, -2920687, -2920682?\n\"Answer: 5*t - 2920702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 4. Let d be h(0). Let o = 226 + -186. Suppose 17 = d*c + x, 0 = -5*c - 5*x - 0*x + o. Solve v = -c*y + 2*y + 4, -v - 3*y + 8 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 505 and 739421.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -1, 0.2, -81 in increasing order.\nAnswer: -81, -1, -0.07, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4069 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y. Let t(j) = 656*j - 9. Let z(k) = -1609*k + 22. Let x(d) = -12*t(d) - 5*z(d). Give x(q(g)).\nAnswer: 346*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2505 (b) -2\/101 (c) 2 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2161, -4349, -6565, -8809, -11081, -13381?\n\"Answer: -14*p**2 - 2146*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 253 and 126293?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 6*b**2 + b + 6. Let s be x(-6). Let z be 6 + 0 + s - 0. What is the third derivative of -6*v**z - 5*v**2 + 4*v**2 + 4*v**6 wrt v?\nAnswer: -240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1276.7 plus -0.3?\nAnswer: 1276.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-4))\/(22\/(-220)). Solve -3*m = x - 5, 3 = -u*x + 4*m - 10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222*g**2 + 222*g**2 - 34*g**3.\nAnswer: -34*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -w + 6. What is the units digit of 84\/w + 4\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h = 2*r + 206, 152 = -5*h - 1566*r + 1567*r for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2941005 is divided by 2008?\nAnswer: 1293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -1055335 and -1055335 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -4*a - 76 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 33 = 3*k, 2 + 43 = -5*k - 5*z. Let w = 5 + -8. Let t be w\/6*(-3)\/k. Is t >= 0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(980)*2 - (sqrt(980) - 2*sqrt(980)*-4) - (sqrt(980) - (sqrt(980)*-2 + 3 - sqrt(980)))*-3)**2.\nAnswer: 1260*sqrt(5) + 24581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1591914664.\nAnswer: 2, 198989333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 60, 114, 170, 228, 288?\n\"Answer: f**2 + 51*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 351144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/6*2312\/119)\/((-11)\/(363\/22))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/6)\/((r*r*r\/r**(1\/3))\/r)*r**(-1\/6)*r**(-7))\/((r**1)**(10\/17)\/(r**(2\/3)*r*r**(-1\/5)\/r)) assuming r is positive.\nAnswer: r**(-747\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 10*l - 39. Let a be d(-16). Calculate the greatest common factor of 38 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 - 12.1. Let q = p + 11. Which is the second smallest value? (a) q (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 8 - v**2)*(0 - 3*v + 2*v - 2).\nAnswer: v**3 + 2*v**2 + 5*v + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153 divided by 51.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6676 and 15021?\nAnswer: 60084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1243 (base 5) in base 6?\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**3 + 16410*m**2 + 32765904*m - 3696279904 = 0.\nAnswer: -4156, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6357 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 13) to base 9\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1398?\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396209 is divided by 34.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5033 = -l, 4434 = -3*l - 3*j + 19530. List the prime factors of l.\nAnswer: 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 19, -183.7, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (20 - 12) - (-54 + (-12 - -25) - 17)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 80 + -84. Which is the second biggest value? (a) r (b) 6 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3528846\/197 at least 17913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w + 8. Let b be k(6). Suppose y = b*z + 213, -4*y + 2*z + 1049 = y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z + 1967 = 1868 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of k**9\/60480 - k**8\/3360 + k**6\/720 + k**5\/3 - 12*k**2. Let h(w) be the third derivative of p(w). What is h(5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 2*u**5 + 5*u**4\/4 - 15*u**3 - 10*u**2 + 20*u - 149. What is n in t(n) = 0?\nAnswer: -2, -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -6*q - 9. Suppose -q*x + 130 = -5*a, -x + 32 = 2*a + 2*a. Round x to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2026339007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -36*g**2. Let s(f) = -187*f**2 - 11. Determine s(i(c)).\nAnswer: -242352*c**4 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 67*u. Let g(n) = 4*n. Suppose -103*r = -98*r + 15. Let c(l) = -44*l. Let q(z) = r*c(z) - 32*g(z). Give j(q(p)).\nAnswer: 268*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6592 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2321*i**2 + 4*i - 8. Let u(s) = -6*s**2 + 2*s - 4. Let h(k) = 4*u(k) - 2*y(k). Let v(t) = t**2. Calculate v(h(l)).\nAnswer: 21325924*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 69401, 72089, 74777, 77465, 80153?\n\"Answer: 2688*o + 66713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1095025 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14.2, -6, 2, -2\/7, 0.04?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61606.\nAnswer: 2, 30803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -672 = d - 681, 34404955 = 5*b - 5*d. Round b to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**2\/21 + 9928*x\/21 - 59352\/7 = 0.\nAnswer: 18, 4946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1354236 (base 7) in base 3?\nAnswer: 100020001220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -390*z + 402*z - 4272. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of u**3\/3 + 7*u**2\/2 - 5*u - 1. Let k be r(-8). Suppose 4*x - 4*n - 1304 = 0, k*n + 188 + 1452 = 5*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4198*n - 11. Calculate d(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 11:49 PM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -7262, 0.5, -0.2, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.462934 to 2 decimal places.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 10. Suppose -m*k - 3*t - 4 = -5*t, -5*k + 2*t - 6 = 0. Is k less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29318 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 - 62. Let f = -22 - p. Solve -3 - f = -2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1175, -2348, -3521, -4694, -5867?\n\"Answer: -1173*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 531 a factor of 13364987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-4))\/(14*(-96)\/448)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 7:40 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, -2\/11, 3, 329?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (870\/3915)\/((-4)\/90)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*w = -2*k - 9164, -w + 4588 = 2*k. What is the greatest common factor of 24 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 - 810*g + 1607*g - 797*g.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95815?\nAnswer: 5, 19163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-43)\/3 + 2\/6. Let o be (-12)\/(-42) - 24\/b. Let r(d) = 2*d**2 + 3*d - 2. Let n be r(2). Solve -k - n = o*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31039 is divided by 10345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**2 - 188*a - 31968 = 0.\nAnswer: -108, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16879, 16877, 16873, 16867, 16859, 16849, 16837?\nAnswer: 16823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -37*j - 162 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 466110?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - r = 2, 14*r = -5*n + 15*r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10093979, 10093954, 10093929?\nAnswer: 10093904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -381, -1819, -4209, -7551, -11845, -17091, -23289?\n\"Answer: -476*n**2 - 10*n + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48381237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/20 of a millennium?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 2)*((4 - 6 + 1)*(1 - 1 + 3*n) - 14 - 7*n + 3*n + 2*n) to the form c + g*n and give c.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1777633197 to the power of 1\/3, to the nearest integer?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 12 - (2 + -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 907\/4 - 228. Which is smaller: j or -1\/8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 - 139*d**2 - 71*d + 92. Let v be s(70). Solve -2*o + v = -4*i, 2*i + o + 3 + 2 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 87232.135 to the nearest 1000.\nAnswer: 87000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -94 - -95. Let b(y) = -5*y. Let k be b(-1). Suppose 5*r - 10 = -k. What is the remainder when d is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 2*f + f)*(-3*f + f + 3*f) - 6*f**2 - 11*f**2 + 0*f**2 - 12*f**2 + 50*f**2 + 30*f**2.\nAnswer: 50*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33176 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n + 24 + 86 = 0. Let r(c) = -763*c - 142. Is r(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3485 - 6969\/2. Is y equal to -4.19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14995 * 1.\nAnswer: 14995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4031035 - 4031097.821024. Let m = a + -0.101976. Let h = -63 - m. What is h rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h**2 + 3060*h - 468180 = 0 for h.\nAnswer: 306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011001100100010011 (base 2) in base 15?\nAnswer: 1290a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -5*s**2. Let r be 3*3\/(-2)*4\/(-9). Let t(f) be the second derivative of -1\/6*f**3 + r*f + 0*f**2 + 0. Determine t(v(l)).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44753, 44782, 44811, 44840, 44869?\nAnswer: 44898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -0.5. Let q be 77\/28 - (-1)\/4. Suppose 6*w - w + u = 4, 0 = q*w - u - 4. Which is the closest to 0.1? (a) -3\/2 (b) l (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6235 = 32*m + 11*m. Calculate the remainder when m is divided by 51.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -5, 0.47, -1, -0.056 in ascending order.\nAnswer: -5, -1, -2\/3, -0.056, 0.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 + 3*r - 2. Let z(j) = -j**2 - 5*j + 3. Let a be z(-5). Calculate v(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1671 and 99989.\nAnswer: -16708.1619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 16*f - 29. Let h = -15 + 20. What is the remainder when i(18) is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2102421042?\nAnswer: 2, 3, 17, 41, 83, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.732 + -1.732. Let x be 3\/9 - 2\/(-30). Let q = -7\/3 - -2. What is the second smallest value in x, a, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -5, 11224, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, 2\/11, 144, 0.088?\nAnswer: 0.088","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 6:06 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 8710574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -55 + 105 - 52 - 11*i in the form f*i + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -457 + 457. Let m(g) = g + 11. Give m(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1528158160?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -53*c**2 + 135*c**2 - 3*c**2 + 135*c**2 + 20*c**2 - 21*c**3 wrt c?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -4*c - 69, z + 210 - 61 = 10*c - 19*c for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 + 77 + -143 + (21 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**7)\/(q\/(((q*(q\/q**1)\/q*q*q)\/q)\/q)))\/(q\/q**(-6)*q*q**(-2\/15)) assuming q is positive.\nAnswer: q**(-13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3774 - 181. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 5:23 PM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -526, 4, 9, 5, -23, 109 in decreasing order.\nAnswer: 109, 9, 5, 4, -1\/2, -23, -526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 89\/(-4) - 17\/(-68). Let b be r*(-6)\/48 - 9\/12. Solve b*l - 5*a = 6*l + 17, 2*a = -2*l - 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -26. Suppose 5*t - 17 = 3*v, t - 27 = 5*v - w. What is the lowest common multiple of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a hour in minutes?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000316472 to 5 decimal places.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/90)\/(41\/2214*9).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2148 is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of 7*f**6\/6 + 3*f**2\/2 + 2. What is the second derivative of z(q) wrt q?\nAnswer: 140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2442 and 154.\nAnswer: 17094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.9, -0.5, 1\/14 in increasing order.\nAnswer: -0.9, -0.5, 1\/14, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - -1)*85*((-1704)\/40 + 3) a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -158d?\nAnswer: 1589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -2364144.73 to the nearest 100.\nAnswer: -2364100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2) + -110 + 115?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*l - 6, 3*l + 3*w - 3 = 6. Suppose -5*q = -5*f - 20990, -4*f = -0*q - l*q + 12599. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4361312 years in millennia?\nAnswer: 0.0004361312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -46 in 4, 2, -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = 5*l - l. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1052.4 to the nearest 10.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1218993 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209825558?\nAnswer: 2, 421, 249199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 + 100*q**2 + 272*q + 176.\nAnswer: 4*(q + 1)*(q + 2)*(q + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101377 is divided by 3173.\nAnswer: 3014","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 490 * -24.\nAnswer: -11760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 404*r**3 - 2421*r**2 - 21*r + 11. What is x(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.1690384 plus 1879649?\nAnswer: 1879635.8309616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 - 2*g**2 + 4*g**2 + 2*g + 2*g**2 - 2*g + (3*g - g - 4*g)*(5*g - g - g) - 36 + 36 - 62*g**2.\nAnswer: -65*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 9*s + 35 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24.1 - 7. Let q = -17.02 + l. Which is the fourth smallest value? (a) 2\/13 (b) q (c) -1 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.22? (a) -2\/19 (b) 4 (c) -1\/3 (d) 2\/5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 179755.\nAnswer: -2\/179755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 9, -1\/4, -2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/21*(-13 - -12).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**6\/120 - q**5\/12 - q**4\/8 + 17*q**3\/6 + 137*q**2. Calculate g(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1379, 1390, 1413, 1454, 1519, 1614, 1745?\nAnswer: 1918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -2 (c) -110 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -3. Suppose 12 = d + 4*c, -4*d = 7*c - 3*c - 36. Solve -w*k - d = 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, -5, -4, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 14 = -2*x + 6, x + 19 = 4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 69529 - 24645. List the prime factors of t.\nAnswer: 2, 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 837567 divided by 12501\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0019251 rounded to 4 dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -23187686 + 1?\nAnswer: -23187685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4312 and 1484120.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 8, b: 3, e: 1, k: 1, g: 6}. Give prob of picking 1 e and 2 b.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 663\/7 + -95. Let v = -102.85 - -102.75. Put v, c, -0.2, -5 in decreasing order.\nAnswer: v, -0.2, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019956 to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -f - 3*i - 4, 4 = i. Let c = f - -15. Let g = c + -12. Put g, 2, 3 in increasing order.\nAnswer: g, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133 + 14*f - 3 - 124 - 8 + 3*f + 37*f.\nAnswer: 54*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*t - 40*t + b = -20, 4*t + 16 = 5*b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15\/(-20) - (-1)\/(-4))*-5. Let d be -5*(58\/(-10) + g). Find the second derivative of d*h**4 - 4*h**4 - 272*h + 294*h + 13*h**5 wrt h.\nAnswer: 260*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of 13*n**5\/60 + 5*n**2 - n. Let w(l) be the first derivative of k(l). Let u(h) = -2*h. Give w(u(c)).\nAnswer: 52*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-600)\/(102 + -177) + 0 + (-78)\/10?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*25\/(-4375))\/((-1)\/(-8))*10\/(-360).\nAnswer: -2\/225","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-6))\/(2\/(-24)). Let o(d) = -d**3 - 6*d**2 + d + 8. Let j be o(g). Suppose 5*a = -z + j*z + 266, 2*a - 109 = 3*z. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 41203439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 11\/2 of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*(-1 + 26\/(-8)). Let k = -7 + w. Suppose 0 = 3*h - x - 2, 2*h - 3*h - k = -3*x. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*22\/2)\/(81\/(-9477)*39).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + -31.3. Let j = 35.4 - 35. Which is the nearest to g? (a) j (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*k**3 - 154*k**3 - 12 + 12.\nAnswer: -247*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154 and 450758?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v*v*v*v**(-30)*v*v)*v)\/v**(-1))\/(v**(-1\/16)*v**(2\/63)) assuming v is positive.\nAnswer: v**(29263\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, h: 7}. Give prob of sequence hhqh.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**5\/60 + y**4\/12 + 112*y**3\/3 - 4*y**2. Let v be p(0). Suppose -5*o = -v + 79. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 7.9. Let g = -3 + 3.4. Let m = g - 1.4. What is the biggest value in m, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 3:39 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -98*q**5 - 42*q**4*t**2 + 303*q*t**2 - 2*q - 2*t**2 - 6*t wrt q.\nAnswer: -1960*q**3 - 504*q**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 2*f - 48. What is the remainder when 46 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10908024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 50 + 46. Suppose -4*s + 124 = -u*s. Suppose 0*h - 2*c - 211 = -3*h, -h - c = -s. What is the remainder when h is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-1 + -2 + 5). Let w(u) = -u**3 + u**2 + 27. Let a be w(z). Let x = 50 - a. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0423 less than -1778083511?\nAnswer: -1778083510.9577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 4*n + 2*n)*(n - 3*n + 3*n)*(-3 + 0 + 4) + (n - 5*n + 3*n)*(n - 3*n + n) - 2 + 2*n**2 + 2 - 5*n**2 + 4*n**2 + 3*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 4*o - 244, -2*v + 3*v = o + 55. Let m be v*(-3)\/((-6)\/5). Let i = 222 - m. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 56, 89, 122, 155, 188?\n\"Answer: 33*t + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 85*j**2 + 0*j**2 - 2 - 97*j**4 - 43*j**4 wrt j.\nAnswer: -3360*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -2\/1497?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (1 - 1) + -9 + 1677 + -1654?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5)*t)**(1\/2) assuming t is positive.\nAnswer: t**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -1306744.\nAnswer: -130674.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 5 - 5)*(-7 - 6 - 1) + 0 - 2 + 1 + (2 + 1 - 1)*(1 - 1 + 1))*((3 - 3 + 2)*(-b - 3 + 3) - 16*b - 23*b - 9*b).\nAnswer: 2050*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83 (base 12) to base 11.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r - 99 - 237 = 0. Suppose p + u + u = 8, p - r = 4*u. Let j(f) = -f + 8. Give j(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*(p*(p*p*p**1*p)\/p*p)\/p*p)**(-4\/5)\/(p**(-3)*p**(2\/3)))\/(((p*p**1)\/p)**(-12\/19))**(-45) assuming p is positive.\nAnswer: p**(-9031\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/30 and -107\/4008.\nAnswer: 20040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 440000 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 88589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27 or 61?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5cc80a (base 13) to base 11.\nAnswer: -1291136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -333 (base 4) in base 13?\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, q: 1, j: 2, t: 2, w: 1, u: 1}. What is prob of sequence tuqt?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -843, -852, -861, -870, -879, -888?\nAnswer: -897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51 - 51 + 26*m to the form r*m + s and give r.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/5 and -1\/52 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2302327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o + 166*o + 93*o + 19*o + (-1 - 5 + 4)*(0 + 0 - 2*o) + 0*o - 3*o + 2*o to a*o + q and give a.\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1188)\/(-1056))\/((-3)\/(-16)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2181605, 2181695, 2181773, 2181833, 2181869, 2181875?\n\"Answer: -z**3 + 97*z + 2181509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 2. Let g = -6 + p. Which is the closest to 2\/5? (a) g (b) 5 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n = 23*n - 290. Calculate the smallest common multiple of 1 and 5\/(15\/n)*9\/6.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -258, -251, -238, -219, -194?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a + 29b?\nAnswer: 2a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1 (b) -0.5 (c) 2\/145\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 4 - 1) + 3. Suppose 3*a = 5*c - 41, 4*c + h*a = 4*a + 36. Calculate the smallest common multiple of 11 and c.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.415 - -3.415. Suppose -3*j = -2*w - 2 - 0, 5*w + 4*j = -5. Let o be 12\/(-2) + (-2 - w). What is the biggest value in 1\/4, o, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69378 and 4278.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1967.\nAnswer: 7, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -5*g**5 - 450*g**4 - 10565*g**3 - 19800*g**2 - 9680*g = 0?\nAnswer: -44, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13051196 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 2441889328?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 71, -248, -0.6, 6.6?\nAnswer: 6.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(130) + 6*2*sqrt(130))\/(sqrt(50)\/(sqrt(50)\/sqrt(10))))**2.\nAnswer: 2196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 66 + -38. Suppose -2*u + a = l, 3*l - 32 = -2*u - 0*l. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6600, 6615, 6646, 6693?\n\"Answer: 8*z**2 - 9*z + 6601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/(-55)*-1*(-75)\/5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-102)\/(-20) - (-3)\/5.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 5 + -17 + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -49 - (2\/(-3) - (45 - 2496\/72))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -192 + 170. Let w be (-114)\/h + (-10)\/55. Solve -c = 4*c + w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -28*j + 23. Let s be n(6). Let h = s - -147. Solve 3*i + q = -4 + 2, 2*i + h*q = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 58, 124, 190, 256, 322, 388?\n\"Answer: 66*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -134\/7 (b) -77 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -25072 and -25072 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f + f + 5*f + (-f + 0*f + 0*f)*(-1 + 0 + 3 - 2 - 3 + 6 + (0 - 1 + 3)*(1 - 4 + 5) + (0 - 1 - 4)*(-2 + 0 + 3)) + 3*f - 2*f + 2*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**3 + 0*f - 204*f**2 + 206*f**2 - 5*f + 7*f**3 as b*f**3 + d + l*f + r*f**2 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2 + 3*m + 2. Let h be q(-1). Suppose h + 34 = 3*l. Let k = l + -10. Let x(t) = -t**3 + t**2 + t + 1. Give x(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-343)\/35 - -11) + 0?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(76\/(-140)*-1). Let o = n - 31\/76. Suppose -r + 0*r + 24 = 5*v, 0 = 3*r - 4*v + 23. Are r and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -3 - ((-1 - -1) + -4 + 5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 30, -2\/13, 0.5, 2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**5 + m - 275392*m**3 + m + 275845*m**3)*(-1 + 3 - 1)*(3 - 1 + 0).\nAnswer: -4*m**5 + 906*m**3 + 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2505\/(-167)*3043\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201a (base 14) in base 9?\nAnswer: -7504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**3 - v**2 + 2*v - 1. Let a be k(1). Let p(f) = -6*f**2 - 3*f - 1. Let h be p(a). Let z = h - -27. Solve -3*j = -4 - z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 68.\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -728992.78 and 3?\nAnswer: -2186978.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31392833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + h. Let f(k) = 3*k**3 + 2*k**2 + 2*k + 30. Let v be 6*(5 - 6) + (-30)\/(-36)*6. What is v*f(d) + 2*s(d)?\nAnswer: -d**3 - 2*d**2 - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 6:54 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2327074225 to the nearest integer?\nAnswer: 1325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 66*g - 140*g - 16 + 66*g. Let z(k) = 6*k - 3. What is the remainder when z(3) is divided by r(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a - 2. Let p be q(3). Let y = 2 + p. Let v be (-2)\/(-4) - 75\/y. Calculate the greatest common divisor of 117 and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1592, 1595, 1598, 1601?\nAnswer: 1604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2015, 2011, 2007?\nAnswer: 2003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7791217 centuries in millennia?\nAnswer: 0.07791217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3771.3 - 3770. What is the second biggest value in a, -1\/6, -3\/5, -0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00104535374 to 6 dps.\nAnswer: 0.001045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-46)\/(-14) - 10\/35. Let n(s) = -b - 8*s + 0 - 4 + 7*s. Determine n(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pc when two letters picked without replacement from lccplcnllllccccl.\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 4*d + 0*d**4 - 6*d**2 - 4\/5*d**5 + 0 + 0*d**3. Let c(w) = 2*w**2. Determine c(v(u)).\nAnswer: 4608*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1425791013?\nAnswer: 3, 47, 10111993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 7 + 5 = 0. Suppose m*n = 4*n. Solve n = -4*u - 2*c - 22, 0*c - 8 = u + 3*c for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1564, 3140, 4714, 6286, 7856, 9424, 10990?\nAnswer: 12554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.4, -1, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (66\/4 + -4)*-1*(2 + 2)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 458*k + 32775. Calculate w(89).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80*n**3 + 2 + 23*n**3 + 122*n - 122*n to the form w + f*n**2 + t*n**3 + k*n and give t.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 566886783?\nAnswer: 3, 701, 269561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5\/11 - 2936*q**4\/11 - 1062728*q**3\/11 + 10854460*q**2\/11 - 25080182*q\/11 + 15291388\/11 = 0. Calculate q.\nAnswer: -739, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 12*m**2 - 16*m + 39. Let c be a(9). Find the common denominator of -5\/12 and c\/4*1\/27.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -4*g**7\/35 + g**6\/40 + 152*g**4\/3 - g**3\/3 - 46*g**2 - 3*g. Find the second derivative of q(n) wrt n.\nAnswer: -288*n**2 + 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70000 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -86, -94, -106, -122, -142, -166, -194?\n\"Answer: -2*x**2 - 2*x - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6496 and 449577952.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 20*j**4 - 3225*j**3 + 670*j**2 + 21645*j + 14490 = 0.\nAnswer: -2, -3\/4, 3, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 206*z**2 + 6*z + 9. Give b(-1).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 510\/450 + ((-84)\/(-18) - 4)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h. Let a(l) = 120*l. Give a(g) - 12*m(g).\nAnswer: 132*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1308 is divided by 144.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*q - 0*h + 5*h, 8 = -2*h. Suppose 405 = 10*g - q*g. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/206720 and -49\/5440.\nAnswer: 206720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 1. Let g be 0 + 1150\/6 + (-8)\/(-24). Suppose -5*b + g = -73. Let t(q) = b*q - 25*q - 27*q. Give f(t(z)).\nAnswer: -z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175456980?\nAnswer: 2, 3, 5, 974761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 556876433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (15 + -5 + 4)) + (7 - 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3902692*b**3 - 76923802.\nAnswer: -11708076*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from lihiihhhiluhhh?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkkkkkkkllkkkkklkk?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 7*x**3 + 2*x**2 - 2*x - 42. What are the prime factors of r(5)?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.93 - -53.93. Let p = v - 68. Let r = -0.09 + -0.11. Is r <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1309, 5362, 12117, 21574, 33733, 48594, 66157?\n\"Answer: 1351*w**2 - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 799225100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (161\/(-49))\/((-45)\/315).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/1)\/((-2)\/(-4)). What is the third derivative of 3*r**3 + 16*r**2 - 39*r**2 - 4*r**3 + 3*r**t wrt r?\nAnswer: 72*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of c**10\/10080 - 2*c**6\/45 + c**5\/20 + 23*c**2. Let w(m) be the third derivative of d(m). Differentiate w(t) wrt t.\nAnswer: 60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 6:56 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -99033, -198079, -297125, -396171?\n\"Answer: -99046*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9477037 millilitres to litres.\nAnswer: 0.0009477037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 6. Let h be d + -5 + (2 - 0). Suppose -2*x + b + b + 1760 = h, 3*b - 868 = -x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**3*l**(-2))**30)**(6\/5) assuming l is positive.\nAnswer: l**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2705879391 rounded to the nearest 100000?\nAnswer: -2705900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2767828406?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88898616.\nAnswer: 2, 3, 1234703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -11547, -46223, -104025, -184959, -289031, -416247, -566613?\nAnswer: -740135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125 and 69625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b. Let t(g) = -7*g + 1. Let c be (-42)\/(-9)*6 - 4. Let w = c + -27. Let f = 8 + w. Determine f*l(x) + 2*t(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(180) + -4 + sqrt(20) + -4 + -3)**2.\nAnswer: -192*sqrt(5) + 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 13. Suppose -2*u + v*u + 76 = 0. Find the common denominator of (3\/(-30))\/((-1)\/u) and -59\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -2 - (3 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/27)\/o**3*o\/(o**(3\/4)*o)*o\/(o*o**9*o) assuming o is positive.\nAnswer: o**(-1493\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-3 + 43 + -7 - (-2 + -1)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -515*l**2 - 5*l. Let k be 2\/(-3) - (-38)\/(-6). Let r = 1 - k. Let s be b(r). What is s rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/(-42) - (-2 - (-4)\/2). What is the closest to 1 in 14, l, 0.5, -4\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -381 + -12564?\nAnswer: -13055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223 (base 5) to base 12.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(297) + -2*sqrt(297)*-3 + sqrt(297) - sqrt(297) - sqrt(297))\/(-1*sqrt(539)))\/(sqrt(225) + (sqrt(225)*2 - sqrt(225))*-6 + -1*-2*sqrt(225)))**2.\nAnswer: 12\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/(-126) + (-224)\/(-36). Suppose 9 = 3*b - w. Let z = -6 + 2. Put z, b, -2 in ascending order.\nAnswer: z, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 138.989105 + 0.077295. Let w = 139 - l. Let y = w - -0.06. Round y to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 99*f**2 - f. Let x be i(1). Suppose 5*y + x = 253. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/11 and (173\/(-6) - -2)*(-19)\/13433?\nAnswer: 6666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, j: 1, m: 2, r: 8, w: 4, f: 4}. Give prob of sequence ff.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.19 + 2.19. Which is the third biggest value? (a) 7 (b) u (c) -1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -58, -119, -180?\n\"Answer: -61*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*w - 14*w + 2*w - 5*w + 35*w**2.\nAnswer: 35*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 1134?\nAnswer: -1124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*t = 12. Let y = 5 - 4. Which is the biggest value? (a) y (b) 5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 300271 to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148536089.\nAnswer: 13, 17, 439, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 times -11898?\nAnswer: -6912738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.518 + -0.202. Let o = 31.52 + -18.7. Let k = h + o. What is k rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - w**2 - 1. Let j(s) = -4*s**3 + 2*s**2 + 14*s + 13. Let o(h) = j(h) - 3*r(h). Let q be o(7). Is 18 a factor of 60\/q*4\/(-10)*-36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.786 - 55.544. Round x to the nearest integer.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 543 divide 227588676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1092 and 42\/63*(-3 + 162 + 3).\nAnswer: 9828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 400435785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away -12218?\nAnswer: 12214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 36869 plus -0.234?\nAnswer: 36868.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -130*u**4 + 162*u**3 - 118030*u**2 wrt u?\nAnswer: -3120*u + 972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -684.8 + 685. Let i = 13 - 93\/7. Which is the closest to i? (a) r (b) -9 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 - 30. What is the highest common factor of 112 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22195 is divided by ((-13)\/((-26)\/(-28)))\/((-19)\/((-931)\/(-14))).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -155 + 160. Solve a - 8 = s*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 113459 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31117 or -31118?\nAnswer: -31118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2111202002010 (base 3) to base 11\nAnswer: 830890","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34749080?\nAnswer: 2, 5, 868727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -161*y**3 - 119*y**2 wrt y?\nAnswer: -966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 6 = 2*b, -5*n - 29 + 5 = -3*b. Let x = n - -11. Suppose 4 = x*h - 7*h. Solve -2*j - 16 = -4*t, -h*t + 4*j = -36 + 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 16*q - 205. Solve -28*r - 8 = q for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42444)\/(-432))\/((-81)\/108).\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 416614 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 17*b + 109. Let y be d(-7). Let w(s) = -s**2 - 9*s - 20. What is w(y)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170c (base 15) in base 5?\nAnswer: 124322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 31\/3 - 2\/(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 21 = -4*q, j = 2*j - 5*q - 18. Suppose j*n - 145 = -2*n. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -691530 divided by -230510.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, x: 11, c: 1, e: 2}. Give prob of sequence cxh.\nAnswer: 11\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -p - 0. Let t(v) = -10*v - 70. Let b be t(-7). Solve 2*a - 9 - p = b for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 5, -2*q + 40 = 2*v - 274. Let l be 18\/(-108) + 218\/q. Determine t so that 32\/13 + 2\/13*t**2 + l*t = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177060281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 520.6476 days?\nAnswer: 12495.5424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6\/61 - 178\/671. What is the third biggest value in j, -3, 2, 3\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10560 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 333315091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 217*c**2 - 1338475*c. Let x(h) = -h. Calculate x(s(v)).\nAnswer: -217*v**2 + 1338475*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 101419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*i - 7*i + 1 = 0, -3*i = -4*t + 17. Solve -2*j + 6*j = t for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/1026704 and 95\/577624.\nAnswer: 719719504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntnqnqcqyqtqqqtn. What is prob of sequence qny?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 21 = -3. Let t be (-266)\/(-228) + 2\/v. Suppose 0 + 0*r - r**2 + t*r**3 = 0. What is r?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**3 + 134 + 5*i**2 - 134 - 24*i**2.\nAnswer: -2*i**3 - 19*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 + 9032760*p + 5099422076100.\nAnswer: 4*(p + 1129095)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*h = -4, -2*t - 4*h - 7 = -19. Find x, given that 0 - 10\/7*x**4 + 0*x - 16\/7*x**3 - 8\/7*x**t - 2\/7*x**5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, j: 1}. What is prob of sequence ww?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3339.\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 455\/42 + 3\/18 + 10?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of c**6\/10 + 3*c**5\/20 - 7*c**4\/4 - 13*c**3\/2 - 9*c**2 - 15*c + 2. Suppose v(i) = 0. Calculate i.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from mmmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284229 is divided by 772.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87355.\nAnswer: 5, 17471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.06, -2\/9, 9, 4.004, 1, 0.4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) 0 (c) -9\/5 (d) -2.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + (-6 - (2 + -7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -23356*o. Let u(v) be the second derivative of v**3\/6 - 648*v - 2. What is u(k(x))?\nAnswer: -23356*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -62\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 153615, 614426, 1382437, 2457642, 3840035, 5529610, 7526361, 9830282?\n\"Answer: -w**3 + 153606*w**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6477?\nAnswer: 3, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*f = -500, -w - 4*f = f - 509. What is the hundreds digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 12. Let p be (-6)\/m*(-3)\/2. Solve p*b = -5*g - 0*b - 12, 5*g = -4*b - 16 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13520 and 11609780.\nAnswer: 603708560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 112*f**2 - 3 + 0 - 109*f**2 to the form s + n*f**2 + u*f and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 2*c + 5*z, -c + 15*z = 20*z - 38. Let s be ((-2)\/(-8))\/((-2)\/4). What is the third smallest value in 2\/3, 1, s, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - f64?\nAnswer: -f63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -270464 (base 8) in base 2?\nAnswer: -10111000100110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t**3 + 4*t**2 + 6*t + 6. Let g be z(-4). Factor -3*d**4 + 324*d - 9*d**3 + 105 - g - 110 - 162*d**2 + 45*d**3.\nAnswer: -3*(d - 3)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.15 (b) 0 (c) -7\/8 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*l**4*x**2 - 455719*l**3*x**3 + 1560*l*x**2 + x**3 + 467 wrt l?\nAnswer: -48*l**2*x**2 - 2734314*l*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 0*n - 5688*n**2 + 5687*n**2 + 2*n - 1. Determine b(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/6*(3528\/(-18816))\/((-4)\/((-32)\/14))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(3\/(-2) + 0). Let q = w - 5. Is ((-18)\/q)\/((-3)\/(-8)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -45, -4, 57, 144, 263, 420, 621, 872?\n\"Answer: y**3 + 4*y**2 + 22*y - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 296 + 1872. Let a = 1461 - x. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 4:48 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -3*q + 2*j + 145, 2*q - 75 = -3*j. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 220 and 540.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001646 to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 354, 320, 288, 258, 230, 204?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - r + 6. Suppose 0*f = 5*u + r*f - 24, 12 = 3*u + f. Suppose -4*k + 104 = 4*j - 0*j, u*j = -2*k + 48. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 236254*x - 472571. Give n(2).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 448 and 13248.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 674500170?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 328473 (base 9) to base 15\nAnswer: 3d346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7688*r**2 + 1736*r + 98.\nAnswer: 2*(62*r + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/2, -3, -8290?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3170\/20 + (-3)\/(-6). Let u = z - -104. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*u + 29, -5*r + 2*r + 4 = u. Let s be (2 + -2)*(-9)\/18. Put 6, -3, u, s in descending order.\nAnswer: 6, s, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126\/2205*(-21)\/(-48) - (-3)\/8\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.55 - -1. Let i = s + 0.5. Let r = i - 0.950049. What is r rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-6))\/d*d)\/d)\/(d\/((d**8*d)\/d))*d\/(d\/(d**(-3)*d)*d)*d\/d**0 assuming d is positive.\nAnswer: 1\/d","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.4 - -2.4. Let m = -415\/8 + 52. Sort -0.1, v, m in decreasing order.\nAnswer: m, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1105 = -7*i + 2*i. Suppose -3*j + 142 = -i. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -615 at least -615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 694718200 divided by -11977900\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 4*k + k + 2*k)*(-1 - 3 + 2 - 25*k) in the form q + v*k + g*k**2 and give v.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.67081268 plus -13?\nAnswer: -9.32918732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*r = r + 9, r = 3. Let b be 1 + 1\/(m\/12*-1). Suppose u = -u + 2. What is the biggest value in u, b, 0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 10, 5, -3, -1557 in descending order.\nAnswer: 10, 5, 4, -3, -1557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13343*d*r**2 + 197*d*r - 6360685*d + 3*r**2 - 5 wrt r?\nAnswer: 26686*d*r + 197*d + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 109, 114, 119?\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 8*v + 227. Let q be s(-27). What is the highest common factor of 33 and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10122112111 (base 3) to base 2\nAnswer: -10001100010011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 206, -5 in descending order.\nAnswer: 206, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 1\/10*m**5 + 0*m**2 - 17*m - 2\/3*m**3 - 11 - 1\/6*m**4. Let s(p) be the first derivative of a(p). Find u, given that s(u) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 6805*v**3\/6 + 1432*v**2 + 348*v + 1. What is the derivative of z(s) wrt s?\nAnswer: 6805","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 + 0.5. Are o and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9 (b) 3\/196 (c) -6\/397 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 8*g - 18*g. Suppose m - g*v - 29 = 0, 0*m - 2*v - 104 = -4*m. Calculate the remainder when 46 is divided by m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.1 - 7. Let f = -1.80185 - -2.70184. Let s = f + k. What is s rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -30 + -106 + 44 + -25?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -7*s. Let u be j(-8). What is the greatest common factor of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 1114?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.7 (b) 10\/63 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 2039998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -88*f - 15. Is q(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4009 rounded to 2 dps?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 3*p**2 + p - 4. Let a be u(1). Suppose -5 - 5 = 5*i, -109 = -3*f + 2*i. Calculate the highest common divisor of f and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -2\/633?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2717 = -3*y + 4*t, 2*y - 1789 = t + 24. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*k**2 + 8 + 17*k**2 - 9 - 41*k**2 as i*k**2 + v + d*k and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -4\/3*c**3 + 7*c + 0 + 11\/2*c**4 + 5*c**2. Is 43 a factor of m(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 9:17 PM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6184788?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 761, 873, 983, 1091, 1197?\nAnswer: 1301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 1890?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 1:01 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125)*1 - 1*sqrt(20)\/sqrt(4)) + 3 + 2 + 5.\nAnswer: 4*sqrt(5) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 5 (c) -59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12370 and 196683?\nAnswer: 1966830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -5, -1\/6, 91, 2\/3, -5\/8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rccr when four letters picked without replacement from ccrccrkrrck.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/90 and -40\/153?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -6*(sqrt(108) + -4 + 5))*-1)**2.\nAnswer: 144*sqrt(3) + 3892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 5*g - 6*g = -0*p + 9, -p = -g - 9 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -14*u**2. Let z(w) = -1507795*w. Determine z(f(i)).\nAnswer: 21109130*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -3*i**4 + 147399*i**3 - 1819276419*i**2 + 214376134329*i + 436030553574 = 0.\nAnswer: -2, 121, 24507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 4 + 2 + -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -310*i + 1430. Let w be o(5). Is w smaller than -842\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1724*l + 97*l**2 + 1 - 3422*l - 454*l**2 + 1698*l - 776*l**2.\nAnswer: -1133*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/40 + (-174)\/(-10) + -17?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 2)\/(1 - 2). Suppose -2*i - 32 = 4*p, i + 46*p - 51*p = 33. Sort n, i, 12 in increasing order.\nAnswer: n, i, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12629085 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 3:09 PM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/224 and 127\/48.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 88 + (-2 + (35 - 17 - 3) - 24).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**4 - b**3 + b**3 + (-b**3 - b**3 + b**3)*(2*b + 0*b - b) + 20*b + 3*b**4 - 20*b + 68*b + 15821*b**4 + 41*b - 11*b - 15823*b**4.\nAnswer: 2*b**4 + 98*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or 89548822?\nAnswer: 89548822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 34 = 2*s, -71229*s + 71231*s + 14*l + 226 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1434329 by -1.\nAnswer: 1434329","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - p + 1. Let w(u) = -12*u**2 - 4*u + 4. Give -4*b(f) + w(f).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 401034, 401040, 401046, 401052?\nAnswer: 401058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4988 + 0.4988. Let r be (-6)\/(-4)*(-614)\/3. Is i not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a - 61. What is the smallest common multiple of (-450)\/(-5)*2\/5 and v(-13)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -11684907 and -0.5.\nAnswer: 5842453.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*d + 33*d = -304*d - 5733 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-28)\/12*3 + 8418 + 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -317, 0.7, 1\/5?\nAnswer: -317","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + p + 0)*(-58 + 55 - 55).\nAnswer: -58*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 20 + 5 + 12.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 31*t - 171. Determine x(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/16, 2\/11, -0.136.\nAnswer: -0.136, 2\/11, 11\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 1\/6, 3, 0.1, -2\/51, -21.14?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3353183.\nAnswer: 29, 43, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 2\/11, -4\/345?\nAnswer: -4\/345","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-1))\/((-2)\/26). Let i(u) = u - 5. Suppose x - 2 - 3 = 0. Let r = x - -1. Let s(m) = 2*m - 11. Calculate b*i(c) + r*s(c).\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 252 = -7*s. Let d = s - -46. Solve -4*c + d = -0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-4) + 2)\/(48\/80).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4998? (a) 2\/183 (b) 0.1 (c) 3\/7 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/84 and 93\/112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-8))\/(111\/(-592)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 4*y**2 + 20*y - 26. Let x be i(5). Let u(w) = w**2 - 50*w + 51. Let t be u(x). Solve 0 = -n + t*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 134*g**2. Let f(z) = -5*z**2 - 4*z**2 - z**2 + 6*z**2. Let j(m) = -3*m**2. Let x(o) = 5*f(o) - 7*j(o). Determine w(x(t)).\nAnswer: 134*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 + (2 + 274)*(-56)\/96*-3 and 297.\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 900\/(-250) + -20*(-14)\/175.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/4 - 297*x**2\/2 + 4581*x\/4 - 1995\/2.\nAnswer: 3*(x - 190)*(x - 7)*(x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6035732.\nAnswer: 2, 1508933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1564?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*j - 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*k - 88479 = 441*k + 694*k for k.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 239 divided by 1177818.\nAnswer: 239\/1177818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**2 - 3*b + 5. Let t(y) = -3*y**2 + 2*y - 4. Give 3*t(z) + 2*w(z).\nAnswer: -z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**3\/2 + 103*a**2 + 62965*a\/2 - 324625 = 0.\nAnswer: -175, 10, 371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 87*o - 82*o - 45 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1512, -3038, -4574, -6126, -7700, -9302, -10938?\nAnswer: -12614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-36)\/(-6)*(-10)\/(-4). Suppose 10*n - 5*n = d. Solve 0*g + n = -3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -6444*x - 46. Let p be v(2). Let f = -867 - p. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -6 + (20 - (3 - -4)) + -11\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/525 and 29\/6.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 7*j**3 - 19*j**2 - 6*j + 4. Give o(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -87*o**3 - 5 - 11*o - 19*o**3 + 11 - 6 + 42*o**3 + 35*o**3 - 31*o**3 + (-2*o - 2*o + 6*o)*(-2*o**2 + 3*o**2 - 3*o**2).\nAnswer: -64*o**3 - 11*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -93 - 57. Is d a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 20, 199, 362, 503, 616, 695?\n\"Answer: -n**3 - 2*n**2 + 192*n - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 35\/20 + 3\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 19*g - 13*g = -4, 2*g - 4 = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36524382, -73048759, -109573136?\nAnswer: -146097513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-41 - -31 - (4 - 1)) + 4\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/708 and 17\/1593?\nAnswer: 6372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61*r**2 + r + 5 wrt r.\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4272?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 187131 and 102711?\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 24*z - 9. Let x be 5*(6 - (-168)\/(-40)). Does 7 divide k(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j + j**3 - 11*j**2 + 13 - 26*j + 28*j. Let r be u(11). Solve o + 3*z - 5 = 3, 0 = r*o - 2*z for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 24042820531.\nAnswer: 24042820529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(11\/5))**32)**44)**(3\/7))**(2\/69) assuming d is positive.\nAnswer: d**(30976\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gcyam. Give prob of picking 1 m and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/234 and -76\/1407555.\nAnswer: 36596430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2585 - 2661 - (15 + -1 + 3 - 1).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.50827 months to decades.\nAnswer: 0.37090225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + 3*m + 3. Let j(x) = -x**2 - 3*x - 2. Let n be j(-4). Calculate the remainder when d(n) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32866016 and 81913?\nAnswer: 6301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(1053) + -1)) + (2*-1*sqrt(13))**2 + sqrt(13).\nAnswer: -7*sqrt(13) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -19990.7318 and -16674.\nAnswer: -36664.7318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -301*f**2*s**2 + 2*f**2*s + f*s**2 + 54*f*s + f wrt f?\nAnswer: -602*s**2 + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-14\/3)*c*c\/(c*c**36\/c*c*c)*c assuming c is positive.\nAnswer: c**(-119\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 410991 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -5) + (-51)\/51. Sort 3, p, -4.\nAnswer: -4, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t - 8. Let g be c(-9). Suppose -2*v = 3*v - 40. Suppose h - v + g = 0. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + 1)*(2 - 2 + 1) + 25 + 24 - 40)*(-112*h + 26*h - 57*h).\nAnswer: -1430*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**4\/n*(n*n*n*(n*n\/n**(-10))\/n)\/n)\/((n\/n**(-2))\/(n*n\/((n*n**12)\/n))))**(-7\/3) assuming n is positive.\nAnswer: n**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3600) + -5*-2*sqrt(3600))*-2)\/((6*sqrt(432))\/(-3*sqrt(81))).\nAnswer: 165*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a tonne in kilograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 7*c**4\/24 + 5*c**3\/6 + 2*c**2. Find the first derivative of g(n) wrt n.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -22. Let a(d) be the second derivative of 5*d**3\/2 - 5*d**2 - 2*d. List the prime factors of a(n).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, h: 14}. Give prob of picking 2 b.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 494, 501, 508?\nAnswer: 515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10820 a factor of 86062280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2439498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 17*o + 24 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 518 and 8148658?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 2*f - 280 = 0. Let d = 69 + f. Calculate the highest common factor of 34 and d.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1044069, 2088183, 3132295, 4176405, 5220513, 6264619, 7308723?\n\"Answer: -t**2 + 1044117*t - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/9, -2\/3, -2, -7.84, -10?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1961.3781024 - -1950.3781. Let n = c + 11. Round n to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1004, -2036, -3096, -4184?\n\"Answer: -14*v**2 - 990*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38766 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiai when four letters picked without replacement from aiaiiaii?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 12) to base 6\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9729\/1081*(-19)\/9?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 12) to base 3\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 15*w - 21. Let b(h) = -5*h + 7. Let y = -7 - -1. Let r(t) = y*g(t) - 17*b(t). What is the remainder when r(-9) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4158)\/(-45))\/(-14) - ((-8)\/5 - -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24211 and 15525854?\nAnswer: 2201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 369*m**2 - 58825261775 + 58825261775.\nAnswer: 369*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10310 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -b74 (base 16) in base 8?\nAnswer: -5564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.679 + 1.65. Let x = t + 0.029026. What is x rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 611 - 1155\/2. Let v = -2365 + -1386. Let w = v + 18692\/5. What is the common denominator of c and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, -91, -299, -603, -1009, -1523, -2151?\nAnswer: -2899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-8) - (1005\/220 + -5). Let h = -2.03 - -0.03. Which is the closest to -2\/5? (a) v (b) -2\/9 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47047228 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145119.\nAnswer: 3, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 779 (b) 0.2 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.22724403 and 0.07439.\nAnswer: 0.30163403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -3*s + 9, 2*s - 73 = 5*k - 113 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.140598746 to 1 decimal place.\nAnswer: -6.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 85 - 26. Let s = -56 + p. Calculate the smallest common multiple of s and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6135 - -6137. Let a = -433 - -9961\/23. What is the third smallest value in 0.5, i, 0.2, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.31103352 - 0.1?\nAnswer: 29.21103352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2950410161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 9*k - 11. Let t be s(2). Let v(z) = 33*z + 16. Let b(u) = -22*u - 11. Let m(p) = t*b(p) + 5*v(p). What are the prime factors of m(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -l**3*z - l*z + 24170*l - 65318*z - 6 wrt l.\nAnswer: -3*l**2*z - z + 24170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -33*m + 1160*m - 6572 + 33620 for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = -21*l. Suppose l = 3*x + 16 - 73. What is the nearest to 0 in 3, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (0 - (-2 + 3 + 7))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26562 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, r: 2, n: 3, g: 2, s: 2, b: 2}. What is prob of sequence srb?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzj when three letters picked without replacement from uxzzjzj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/20 - -3\/10. Let p = 7\/36 - 1\/36. Which is the closest to 0? (a) p (b) o (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/20 and 0 + (7 - 3070\/192) - -8?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a + 30. Suppose -4*b - 100 = -5*k + b, -40 = -3*k - b. What is the remainder when l(-13) is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*s + 12. Let f be 1\/2*(-4)\/10. Which is bigger: f or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 + -5 + -2 + 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50226*p + 22023*p + 19495*p.\nAnswer: -8708*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*p**3 + 2*p**2 - 472*p**3 + 38*p**3 - 2*p**2.\nAnswer: -633*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255413583?\nAnswer: 3, 28379287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 12:27 AM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (96\/8100)\/(1\/(5\/(-2))). Let r = d - -844\/135. Calculate the common denominator of -3\/7 and r.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -69295, -69288, -69235, -69112, -68895, -68560, -68083, -67440?\n\"Answer: 4*c**3 - c**2 - 18*c - 69280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 0, 2*b = -5*p + 6*b + 10. List the prime factors of p - (-4 + 0 + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.56 (b) -6 (c) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17.3 - -18. Let k = t + 2.3. Let d = 0 - k. What is the closest to 1 in d, -2\/11, -0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11274 is divided by 149?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, s: 3, g: 1, y: 2, b: 3, a: 1}. Give prob of sequence syts.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 8 (c) -3\/7 (d) 3\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -162\/5, 0.2, 5, -2?\nAnswer: -162\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 15 - 0. Let s = -1 + l. Suppose 0*d - 7*d**2 + 8*d**3 - 2*d + d**s = 0. What is d?\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -2*s**7\/21 + 2*s**6\/15 + s**5\/5 - s**4\/3 - 122*s. Solve z(r) = 0 for r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h - 2*h**4 + 2*h + (-3*h**4 + 6*h**4 - h**4)*(1 + 0 + 1) + 6*h**4 - 15*h**4 - 7*h**4 to the form m*h + c + g*h**2 + o*h**3 + u*h**4 and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**3)\/s)\/s**(1\/16)*(s\/(s*s\/s**14))\/(s**(-1\/8)\/s))**(-15) assuming s is positive.\nAnswer: s**(-4095\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 0*g = -52. Calculate the remainder when g is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2 + 4*l - 4. Let r = 11 - 15. Let q(d) = 9*d - 8 + 1 - 2*d + 5*d**2. Calculate r*q(t) + 7*j(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 184385367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3, -0.15647, -41?\nAnswer: -0.15647","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001961 rounded to seven dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -611*u - 3034. What is h(-5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(28)\/(sqrt(20)\/sqrt(5)) + -5*(sqrt(7) + 0 + 4).\nAnswer: -20 - 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y - 3. Let r(a) = -745 + 22*a - 738 + 1473. Determine -7*b(o) + 2*r(o).\nAnswer: -5*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16a0 (base 16) to base 14.\nAnswer: -217a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 7*l**2 - 6*l + 4. Calculate the lowest common multiple of (-2 + 16\/(-3))*-3 and s(6).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10462774 (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52\/15 + -166\/45. Let v = 112 + -112.3. What is the nearest to 3 in -5, t, v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1807)\/139 + (-51)\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/((-15)\/6) + -25. Let b be ((-326)\/7)\/(-2 - 0). Let i = o + b. Which is greater: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*v - 3396 = -94*v. What is the remainder when v is divided by 37?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/5 - 3234*w\/5 + 330504\/5.\nAnswer: -3*(w - 94)*(w + 1172)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13483 - 80899\/6. What is the nearest to -62 in i, 2, 6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1143 - 76. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 51*c**2 - 409*c - 485. Calculate b(-6).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3*(sqrt(16) + (sqrt(16)*1 + sqrt(16) - sqrt(16))))\/sqrt(8))**2.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -7665*n + 32. Let q be x(-1). Let v = -1338 + q. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32013 (base 4) in base 14?\nAnswer: -487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21744 and 72933.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((972\/(-30))\/3)\/(1059\/5295).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = 4*b - 33*b. Let x(n) be the third derivative of 0*n**b + 0 + 0*n**3 + 1\/144*n**4 - 1\/720*n**6 + 0*n + 6*n**2. Suppose x(o) = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a5 (base 13) to base 2\nAnswer: -10000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.6092 + 1.65. Round w to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -6 in descending order.\nAnswer: 5, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.246626 - 0.247. What is s rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1046299015\/36 - -29081311. Let d = q - 17447. What is the common denominator of d and -67\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*d - z, 5*z - z = 3*d - 9. Let g be (-1)\/(d + -3 + -1). Solve -h + g = 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -40, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 72.\nAnswer: -11\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9029534 and 422?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 3, 0.8, 0.17608 in decreasing order.\nAnswer: 3, 0.8, 0.17608, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 5*t + 29, 0 = -2*s + 6*s + 12. Let u(h) = 2*h - 1. Let l be u(2). Let k be (70\/24 - l)*-3. What is the second smallest value in t, -6\/7, k?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -16*l. Let u(a) = a**3 - 28*a**2 - 29*a + 47. Calculate the remainder when u(29) is divided by c(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 8*i + 7. Calculate w(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 2 (c) -0.89 (d) 0.1 (e) 0.11 (f) -159\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 79986971 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.059 + 1.259. Let w = m - 0.7. Suppose 2*s + 2*q - 12 = 0, -3*q + 2 = -1. Sort w, s, 0.3.\nAnswer: 0.3, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*s. Suppose 4*l - 3*l - 22 = -5*x, s = 5*l + 5*x - 30. Solve -5 = -l*v + 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1c7 + -3c?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/10 + 1 + 516\/1505?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34390 and 20634?\nAnswer: 103170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-522)\/(-1218))\/(81\/(-42)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 487116.009092455 - -0.5\nAnswer: 487116.509092455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 u when three letters picked without replacement from tttuuutttuuu.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(624) + 1*sqrt(624))\/sqrt(12))\/(sqrt(252)\/sqrt(7)).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -30. Suppose v*p - 356 = 218. Let c = -72 + p. Solve -4*z - 1 = 5*d - 8, -2*d - 4*z + c = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2194 = 13*g - 2207. Let h = -7 + 2. Sort -3, h, -48, g in descending order.\nAnswer: g, -3, h, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.2 + 5. Let l = 0.2 - 0. Let t = -0.3 + l. What is the closest to t in r, -3, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/(-22))\/((-6)\/8). Let j = 0.04 - 0. Let w = 0.96 + j. Which is smaller: c or w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1))**9*(l\/((l*l**(2\/5))\/l))\/(l\/(l*l**(3\/7))*l))\/((l**(-1\/7)*l*l)\/(l\/l**6))**(-5) assuming l is positive.\nAnswer: l**(886\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3498 + 9759.29?\nAnswer: 6261.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3898, -15584, -35044, -62266, -97238, -139948, -190384, -248534?\nAnswer: -314386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*w + 5\/6*w**2 + 3\/2*w**3 - 1\/6*w**5 + 0 + 1\/2*w**4.\nAnswer: -w**2*(w - 5)*(w + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 4)*(-4 + 0 + 2)*(18 + 16*d - 18) as c*d + u and give c.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/2 - 17*v**2 + 265*v\/2 - 300.\nAnswer: (v - 24)*(v - 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13, -63166613, -1?\nAnswer: -63166613","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 26*u**2 + 23*u + 108. Let k be r(27). Which is smaller: k or -3\/416?\nAnswer: -3\/416","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l**3 + 2*l**3 + 2*l**3)*(-3*l + 3*l - 2*l) + 3*l**4 + 2 - 2 + 2*l**4 - 2*l**4 - l**4 + (-11 + 12 + 4)*(-3*l - l + 2*l)*(3*l**3 + 2*l**3 - 2*l**3).\nAnswer: -24*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7025, -28076, -63163, -112286, -175445?\nAnswer: -252640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 5:11 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/(-132))\/(9*10\/2970)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 + -0.3. Let n be 1 - (-1*1 - 0). Let w = 0.1615 + -0.1615. What is the nearest to w in r, -1, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80170315?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.093 smaller than 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 25. Let c = 32 - 52. Let r = q - c. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12819*p**2 + 38596*p**2 + 60371*p**2 + 106996*p**2.\nAnswer: 193144*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/6, 7\/10 in increasing order.\nAnswer: -1, -1\/6, 7\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z**2 - 4*z**2 - 3*z**2.\nAnswer: -17*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 5*i**4\/12 - 7*i**3\/6 - i**2. Is z(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 264584520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -7753798*f - 2 + 5 + 7757528*f in the form q + u*f and give u.\nAnswer: 3730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 9*s - 4. Let q be n(-9). Let f = -0.5 - -1. Which is the smallest value? (a) 0 (b) f (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 5656, 3, -32, 0.3 in decreasing order.\nAnswer: 5656, 5, 3, 2, 0.3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(468) + 3))**2.\nAnswer: 1296*sqrt(13) + 17172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -26, -140, -402, -872, -1610?\nAnswer: -2676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41202241 (base 5) to base 9.\nAnswer: -560104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*p + 48*p + 49*p + 45*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111111212122 (base 3) to base 8.\nAnswer: 1007412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 25 = -4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + u**2 + 8. Let r(t) = t - 12. Let l be r(12). What is f(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.78 - -1.7799994. Round k to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*k = -3255, 3*k + 3474 = 3*h + 1059. Calculate the smallest common multiple of 972 and h.\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/sqrt(8)*4 + 4.\nAnswer: 4 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m - 1 + 48*m**2 + 7*m - 49*m**2 - 9*m to the form u*m**2 + f + j*m and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 6*v - 1. Let l(c) = c**3 - 8*c**2 + c - 4. Let n be l(8). Let q(h) = -6*h + 6. Let k be q(n). Let g = -13 - k. Give b(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1098 and 2.7.\nAnswer: 0.29646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2))**(-7) assuming p is positive.\nAnswer: p**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2974 divide 499652416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**6\/36 + 2*x**5\/15 + x**4\/12 - 2*x**3\/9 - x**2\/4 + 4918. Factor l(k).\nAnswer: k*(k - 1)*(k + 1)**2*(k + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (105\/(-126))\/((-1)\/2)*9*1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/12 - (-5)\/(-20)*-10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4565*r - 765*r**2 - 4565*r + (-4*r + 0*r + 6*r)*(r - r - r) - 1 + 1 - r**2 to the form z*r**2 + f + i*r and give z.\nAnswer: -768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 + r. Let o(y) = -4. Let u(f) = 11. Let t(i) = 8*o(i) + 3*u(i). Let a(s) = -m(s) + 3*t(s). Let k be a(1). Solve 2*d = -k*d - 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 4*i + 213, -4*i = 5*g + 264 - 1409. Suppose -231*a = -g*a + 234. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1674 and 144?\nAnswer: 13392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 466\/17 or -56873?\nAnswer: -56873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 z when four letters picked without replacement from zglllgg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.385500046 rounded to zero dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u + 30. Let z be o(11). Let k be ((-207)\/(-4))\/z*-4. Suppose -74*v = -k*v - 1005. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 2*q**2 + 2*q. Let h be n(2). Suppose -65 = -h*x - 5*d, -3*x - 2*d = -5*d - 42. Calculate the remainder when (37\/4 + -2)*4 is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = 13*z + 121 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.44 + -8.44. Sort -2.4, u, -4, -20 in ascending order.\nAnswer: -20, -4, -2.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -139 - -138.9867. What is w rounded to 3 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -739\/2 (b) -0.9 (c) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/425)\/(17 + 261\/(-15)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2*k)*((9*k + 0*k - 3*k)*(-2*k**2 + 4 - 4) - 2*k**3 + 3*k**3 - 3*k**3).\nAnswer: -28*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 11 * -84405\nAnswer: -928455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from dsdjsjssddjdsgsgsds.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 plus 3.753030967?\nAnswer: 9.753030967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-21)\/((-2646)\/(-36))*-42 is divided by ((-3)\/(-2))\/((-3)\/(-12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000127436 rounded to six dps?\nAnswer: 0.000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 68316781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 435? (a) 2\/9 (b) -5\/4 (c) -20 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3209593867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 + -7)\/(3 - 60\/16). Suppose -4*z + c = -z. Calculate the least common multiple of 9 and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 - 15*q**2 - 142*q - 264.\nAnswer: (q - 22)*(q + 3)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 760268811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 at most as big as 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.8752441 + 0.1248159. Let h = 13 - r. What is h rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 7*r = -4*r + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3896)\/23904 - (-12)\/54 and -85\/332.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 15316*u - 15160*u + 3 to m + s*u and give s.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4849603 and 1599.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -110100000 (base 2) in base 6?\nAnswer: -1532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 1265*q - 149739. Determine p(-109).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -206999 - -206989. Let t = 0.8 - -0.2. Which is the nearest to t? (a) 4 (b) w (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -9, 2361, 242\/3, -1?\nAnswer: 242\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.07 + -0.07. What is the closest to -0.2 in -2\/3, z, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**3 - 62*m**2 + 22*m + 25. Let p be s(-21). Solve 16 = -4*v + 5*h + p, 2*v + 6 = 5*h for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4 = 2*n. Sort -4, 3, 2, n in descending order.\nAnswer: 3, 2, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2 - 1 - 2*y**2 to the form q + m*y + r*y**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*f + 3*s - 5, 5*f = 4*s + 1. Differentiate -10*q**3 + 7 + 6*q**3 - f wrt q.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + z = -8. Let q be (-4)\/z*4 - 2. Solve 4*k + 16 + 0 = q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001711 to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5*w = -385, -71 = -5*d + 3*w + 324. Let j = d + -96. Let k(q) = -q**3 - 13*q**2 + 2*q - 8. Calculate the remainder when k(j) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 3*b + 261 = -4*z - 7*z + 21*z, 3*b = -z + 261 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31)\/(-99) - (-156)\/(-1716).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-53 + 3)\/(-1*1). Let f = -10 - -14. Suppose -f*v = -20 - 20. What is the greatest common factor of v and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 363253 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 5*i = -22, 3*u - 50*i - 20 = -93*i + 45*i for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**4 + 1292*j**3 + 78720*j**2 + 74864*j - 154880 = 0.\nAnswer: -242, -80, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -w + 18. Let u(o) = -7*o - 4. Let l(j) = 6*j + 3. Determine w*l(i) - 4*u(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(4*sqrt(11) + 3)*6)**2.\nAnswer: 21600*sqrt(11) + 166500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/(-2))\/(((540\/(-285))\/(-18))\/((-4)\/(-19)))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.4224248 rounded to 1 dp?\nAnswer: -12.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46.9 + -43.9. Which is the fourth smallest value? (a) -1 (b) 2\/123 (c) v (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -52?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15172566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3028418.6 rounded to the nearest one hundred thousand?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4835\/16 or 301?\nAnswer: 301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**4\/9 - 98*h**3 + 62971*h**2\/3 - 186272*h\/9 - 125356\/3 = 0.\nAnswer: -1, 2, 363, 518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0396 and 0.23.\nAnswer: -0.009108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -299\/2, -1, 304, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-625)\/225*3\/10)\/(85\/(-34))*303?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than 0.5318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1574583838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5895\/4 + 3\/12. Suppose 0 = 2*n + 2*u - 1184 - g, -2*n + 4*u + 2664 = 0. Round n to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*v**4 - 1495*v**2 + 567 wrt v.\nAnswer: -8*v**3 - 2990*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -18.68 from 292.8.\nAnswer: 311.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, -182, 1, -486, -5, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -453.2 + 449.2. What is the third biggest value in g, 3, 0.067, -5, 5?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6841 or -6743?\nAnswer: -6841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwcc when four letters picked without replacement from spswvsspsspvsc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 10:59 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.36 and 4855.\nAnswer: 4855.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245)*-1*-4)**2 - (0 + sqrt(245)*3)**2 - ((5 + sqrt(245)*-1 - sqrt(245))**2 + -2 + -4)) + -3.\nAnswer: 140*sqrt(5) + 713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9227152.2 hours to weeks.\nAnswer: 54923.525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.9 + 3.3. What is the third biggest value in -3, h, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/9)*r)**(-19))**29\/(r\/r**9*r\/r**(-6))**(2\/71) assuming r is positive.\nAnswer: r**(-430313\/639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 60825, 243296, 547407, 973152, 1520525?\n\"Answer: -z**3 + 60826*z**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v + 117. Let t be l(50). Which is smaller: 82\/5 or t?\nAnswer: 82\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 22 = p, 7*l - 9*l - 2*p = -12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7498681 is divided by 577.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-17)\/((-5)\/(-5)). Suppose -19*y = -h*y - 4. Find the second derivative of -l + 13*l**y + 3*l**2 + 9*l**2 + 32*l wrt l.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 92 + -81 - (-190)\/(-14). What is the nearest to -0.1 in 2, s, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7172 is divided by 114?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*c = 58*c + 58. Does -5 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40343186*q**5 + 114649288*q wrt q.\nAnswer: -806863720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -14*o - 11. Let g(h) = -29*h**2 - 4*h. Let a(i) = -459*i**2 - 63*i. Let p(c) = -4*a(c) + 63*g(c). Determine p(t(w)).\nAnswer: 1764*w**2 + 2772*w + 1089","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 s, and 1 n when three letters picked without replacement from {s: 3, n: 3, p: 5}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318330?\nAnswer: 2, 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 380 and 110884?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 8*r**2 + 5*r + 6. Let t be v(6). Let n = 228 + t. Suppose 5*s - 193 = -d + 3*d, 5*s = 3*d + n. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/364 and ((-10)\/6)\/(((-120)\/7)\/(-10))?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002815896137 to four decimal places.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 112012344 (base 5) to base 8\nAnswer: 1722356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 360\/48*-2*(-3)\/(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-3)\/6*2) - 7490003. Round t to the nearest 100000.\nAnswer: -7500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 45813 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3 - -0.5. Let g = 0.6 - 0.7. Let b(n) = n**3 - 5*n**2 + n - 6. Let w be b(5). What is the nearest to w in y, g, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + sqrt(500)*1 - sqrt(120)\/(sqrt(6)*-2))\/(sqrt(484)*-2 - sqrt(44)\/(sqrt(11)*1)) + -1.\nAnswer: -21*sqrt(5)\/46 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2955*d + 1386*d - 5568 = -1473*d for d.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 k, and 1 l when four letters picked without replacement from xclklclxlqqxcc?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-44)\/(-22))\/((-1)\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 634? (a) 0.1 (b) -1 (c) 0 (d) 3 (e) 75\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5053, -19573, -43781, -77683, -121285, -174593?\n\"Answer: -k**3 - 4838*k**2 + k - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 1, -3, 5, 2.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 654681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/50*2395\/2874?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 312224476*f - 140461029?\nAnswer: 312224476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 30*b**2 + 4*b - 3. Let q be d(2). Let f = -6 + q. What are the prime factors of f?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/((sqrt(154)\/sqrt(7))\/sqrt(11)) + 0 - ((sqrt(32)*-2 - ((sqrt(2) - sqrt(6)\/sqrt(3)) + 1 + sqrt(2))) + -5).\nAnswer: 6 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00598514 rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (2 + -1 - (60 - 94)) - -6\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*o - 9*o - 164 = 0. Put o, -1\/12, -0.2, 13 in increasing order.\nAnswer: -0.2, -1\/12, o, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -102021 + 149270. What is the thousands digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + 2*w + 0*w - w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.69923ng in milligrams?\nAnswer: 0.00006269923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1002 (base 3) to base 2\nAnswer: 11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1005\/4 - -252. Let v(g) = 5*g - 13. Let z(h) = -4*h + 12. Let r(s) = 5*v(s) + 6*z(s). Let i be r(-7). Sort b, i, 10\/3 in decreasing order.\nAnswer: 10\/3, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -10. Suppose -m + 104 = c*u, 0 = 2*u + 6*m - 2*m - 86. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -83955719 smaller than -83955721?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-99)\/(-21) - ((-20)\/14)\/5. Let o(h) = -h**3 + 5*h**2 + h + 4. Let p be o(c). Calculate the greatest common divisor of p and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t**2 - t**2 + 39*t**2.\nAnswer: 26*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219, -220, -221, -222, -223, -224?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + y**2 + 1 + y**2 + 6*y**2 - 8*y. Suppose 4*o + 33 = 3*i, 5*i + o + 3*o - 23 = 0. What is b(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -142236 (base 16) in base 8?\nAnswer: -5021066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 3 (c) 0.2 (d) -13405\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-2 + -1) - (-32 + 22 + 14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -13*g**2 - 38*g - 12. Let n(z) = z**2 + 1. Calculate 9*n(b) + t(b).\nAnswer: -4*b**2 - 38*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/26 - (170114\/(-26) - -4). Let t = -4498 + o. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/9 + (-24)\/(-108). Let z(r) = -5*r + 6*r + 0*r + q*r. Let u(j) = -4*j. Calculate z(u(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 11*j**5\/5 + 89*j**4\/5 + 217*j**3\/5 + 151*j**2\/5 + 12*j\/5 = 0.\nAnswer: -4, -3, -1, -1\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**2 + 2517*i + 2515*i - 3*i**4 + i**3 - 5031*i to v*i**4 + w*i**2 + u*i + x*i**3 + m and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 7*r + 18. What is m(-6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61275*69.\nAnswer: 4227975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -o - 35. Suppose 4*x = 243 - o. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 + (7 - 3) + (-18 - -12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 19*n + 22. Let b be 24\/30 + (-192)\/(-10). Let r be a(b). Let q(s) = 2 + 2*s - 2*s - s. What is q(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 744 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -15\/2*f**4 - 75\/2*f**3 + 0 - 3\/5*f**5 - f - 375\/4*f**2. Let i(p) = 0. Calculate p.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3736 divide 224707935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363)*-2*1 + sqrt(363) + -3*(-1 + sqrt(363)))**2 + (sqrt(144) - (-1*sqrt(144) - sqrt(144)))\/((-2*sqrt(108))\/sqrt(9)).\nAnswer: -267*sqrt(3) + 5817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (-6 + (3 - 1)). Suppose 12 = -p*o - h, 4*o - 2*h + 0*h + 16 = 0. Let u be (o\/(-5))\/(9\/135). Solve -4*s + u = -0*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*h**2 + 1)*(-464*h - 754*h + 29*h + 18*h - 87*h).\nAnswer: 2516*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.446 - 0.446177. What is m rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**2 + 62*l + 19. Give q(-16).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 968\/11 - 3\/3. Let q = a + -61. What is the greatest common divisor of 39 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 6*d + 50 = d, 0 = h + 5*d + 30 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 5*f**2 - 295*f - 1156. Let z be j(-4). Sort 0, z, 3, 7, -2.\nAnswer: -2, 0, 3, 7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8291474, -8291519, -8291564, -8291609, -8291654, -8291699?\nAnswer: -8291744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 272 + 8*l**2 - 272. Let k(b) = 4*b**2. Calculate c(k(w)).\nAnswer: 128*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 634 (c) 2.83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45259.53 minus -6.87?\nAnswer: 45266.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 9, h: 1, x: 2, j: 1}. What is prob of picking 1 x and 1 j?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4\/3*-18*(-2)\/36\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + l + 729 = -56*h + l, -3*h + 77*l - 34 = 72*l for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 430493.6 and -4.7179863.\nAnswer: 430488.8820137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - (-2 - 20\/(-16))*4. Solve b = -5*w + w + 1, i = 5*w + 2*b + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -17?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.03, 1\/6, 3 in descending order.\nAnswer: 3, 0.4, 1\/6, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 322.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -14*y + 127. What is m(3)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*h**4 - 2 - 62*h**4 - 96*h**4 + h - 2*h + 10*h**4 - 2*h**2 to o*h + n*h**2 + p*h**3 + m*h**4 + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 144780 or 3\/3065?\nAnswer: 3\/3065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 2:15 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from {o: 1, p: 4, t: 8, c: 2, f: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of d**4\/8 + 9*d**2. Let o(i) = 10*i. Calculate z(o(s)).\nAnswer: 30*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - -3. Let r = -9 - -11. Suppose 0*w - 10 = -r*w. Is w at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27314 - 27421.9964. Let s = -107.72 + -0.28. Let c = s - v. What is c rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33443 (base 8) to base 2\nAnswer: 11011100100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/34646 and -93\/16304?\nAnswer: 277168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*k**(-1))*k)\/(k**7*k)*k**0\/(k**(-2\/5)*k))\/((k**(-1\/4)\/k**(-1\/2))\/(k**7\/k**(-1\/5))) assuming k is positive.\nAnswer: k**(27\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 1\/3*w**3 + 5\/4*w**4 + 4*w - 1\/6*w**6 - 4*w**2 - 1\/5*w**5 - 107. Find c, given that g(c) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 7. Suppose k*o = -2*o - 4. Let p = o - -7. Solve d + 4*c - 14 = 2*c, p*d - 35 = -3*c for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -262 divided by -1.\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35144.1223 - -35141. Let y = 3.12 + z. What is y rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 22, 1, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of y**2 + 1517*y + 26401 wrt y?\nAnswer: 2*y + 1517","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4075170 to the nearest integer?\nAnswer: 2019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -88 (b) -16 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48417643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (3 + 4 - (-8 + -7 + 15))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b, -7*b + 11*b = 5*w - 1615. What is the highest common factor of 51 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(38)\/sqrt(2)*-3 + 1)**2 + (1 + sqrt(19) + sqrt(95)\/(sqrt(10)\/sqrt(2)))**2).\nAnswer: -249 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 70572?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/129 - 1276\/903. Which is the third biggest value? (a) m (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68710.\nAnswer: 2, 5, 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 2*j**2 - 15*j + 4. Let b(c) = 0*c**2 - 15638*c**3 - 5 + 4 + 0*c - c**2 + 15639*c**3 - c. What is 2*b(d) + s(d)?\nAnswer: d**3 - 17*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 1219*x - 29*x - 29 - 42 + 97.\nAnswer: 1190*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h + 6*h + 5*h)*(-2*h + 6*h - 3*h) + 15*h - 2*h**2 - 97 + 97 - 3 - h**2 + 3 + (-1 + 1 - h)*(-4 + 4 - 2*h) in the form w*h + f + v*h**2 and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**3 + 40*b**2 - 38*b + 52. Let f be i(19). Calculate the highest common factor of 3068 and f.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.2. Let v = -18 + 18.8. Let s = 1.2 + v. Which is the nearest to -1\/2? (a) d (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153 + 37 + 82 + y + 34.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53034, -75226, -97418?\nAnswer: -119610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 84586324 a multiple of 5584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 11*f**2 + 4*f - 4. Let b(q) = -q**3 + 1. Let h(j) = -2*b(j) - v(j). Is h(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49075047 divided by 26861?\nAnswer: -1827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -232 + 246 + 9 + -66.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2502 = -18*x + 16*x + 2*m, m = -1. Suppose 373*u - x = 363*u. Is 22 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 22*x - 48. Give i(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (7 - 1)*(4 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(325) + (-1*(1 + sqrt(325)))**2 + sqrt(325).\nAnswer: 20*sqrt(13) + 326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -38*y**6\/39 + 2*y**5\/65 + 76*y**4\/13 - 8*y**3\/39 + 149. Find t such that i(t) = 0.\nAnswer: -2, 0, 1\/38, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 + -17. Let a be (-7)\/w - (-46)\/(-8). Let b(j) = j**3 + 5*j**2 - 6*j - 4. Determine b(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 b when three letters picked without replacement from {n: 2, u: 2, l: 7, b: 2, v: 5}?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 a when three letters picked without replacement from tkattaqkktk.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 i, and 1 f when three letters picked without replacement from ffihf.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 11*j + 56. Let y = j + -21. Let a(x) = x**2 + 7*x + 2. Let c be a(y). Solve -4*t - 27 = -3*z, -t - 2 = -c*t - z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 19 + 1 = 0. Let d(p) = -13*p + 19*p - p**2 - 9*p. Determine d(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 1. Let n(z) = 22*z - 66. Let x(p) = -p**2 + 108*p + 449. Let i be x(-4). Give i*n(o) + 66*r(o).\nAnswer: 22*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -456*g**2 + 29738 - 29738.\nAnswer: -456*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -6*i - 12, 0 = 5*d - 2*i - 21. Let q(a) = a + 2. Let j be q(1). Suppose -d*p + 17 = 2*p + 4*v, -j*p - 4*v = -15. Solve -u = -p - 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - a5?\nAnswer: -a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*f + 356 = 3*q - 7*f, -650*q + 3*f + 12 = -647*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17941453961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43519115 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 704?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, -72, 2, -381, -4 in descending order.\nAnswer: 2, 0, -4, -6, -72, -381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 2)*(1125\/(-10))\/(-3). Let q = y - -123. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of j**5\/20 + 7*j**4\/6 - j**3\/2 - 4*j**2 + 6*j. What is the tens digit of s(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 240 and 79440.\nAnswer: 79440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/5 (b) -0.2 (c) 3 (d) 35.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t + 3*t - 6*t. Let y(s) = 37*s - 74*s + 39*s. Calculate d(y(b)).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 7*o**3 + 5*o + 5. Let i(y) = y**3 + 4*y**2 - 7*y - 5. Let z be i(-5). Let b(r) = -66*r**3 - 48*r - 48. Give z*b(s) + 48*u(s).\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**3*w*z**2 - 1994*f**3*w - 5*f**2*z - 6*f*w*z**2 + f*z**2 + 2*w*z**2 wrt f?\nAnswer: 12*w*z**2 - 11964*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 12*p**2 + 10*p - 5. Let r be q(-11). Let o(i) = -i**2 + 8*i - 12. Let m be o(r). Factor m - 3\/4*s + 3\/4*s**2.\nAnswer: 3*s*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -10*u**3 - 26*u**2 + 16. Suppose 0*o + 4*l = 3*o - 18, 0 = 5*l + 15. Let x = -14 - o. Let m(j) = -2*j**3 - 5*j**2 + 3. Determine x*m(h) + 3*z(h).\nAnswer: 2*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -32091\/4 + 8021. Which is the closest to -0.1? (a) -8 (b) v (c) -4\/11 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -180\/11, 1, -89, 2\/25, -2, 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -33276 bigger than -33276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/228 and 53\/184.\nAnswer: 10488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 490 = 101*z + 348 - 464 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -x - 4022 + 87, 3*x - 1574 = -2*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y*y**(-26))**(-37))**(6\/11))**(-4\/7))**(-6\/23) assuming y is positive.\nAnswer: y**(127872\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.434 + -188990733.797?\nAnswer: -188990733.363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27855607973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1662215 + 10562215. Round w to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 1. Let k = 1028 - 1037. Let t(f) = -5*f + 4. Let v(x) = -15*x + 12. Let c(j) = 17*t(j) - 6*v(j). Give k*y(n) - 2*c(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -2798648 and -2798647 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -849.93 - -850. What is the third smallest value in d, 4, 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l**3 + 14*l**2 - 6*l + 8. Let x(u) = -u**3 + u**2 + u. Let v(f) = -m(f) + 4*x(f). Let q be v(9). Is 16\/19 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2344 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -u**5\/20 - 5*u**4\/12 - u**3\/6 - 4*u. Is 5 a factor of m(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4653783 + 1.247422.\nAnswer: 4653784.247422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1620) + sqrt(45) + sqrt(45) - sqrt(45))\/sqrt(9)*-5.\nAnswer: -35*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 0 + 6*q**2 + 1\/30*q**5 + 0*q**4 + 0*q**3 + 0*q. Let d(h) = -5*h**2. Calculate f(d(l)).\nAnswer: 50*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45649 or 45745?\nAnswer: 45649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/13, 4, 0.03?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 572119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h**2\/6 - 102918115*h\/3 - 205836235\/6 = 0.\nAnswer: -1, 41167247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.06 + -5.06. Let f = 133 + 9. Let k = 142.2 - f. What is the second biggest value in -3, k, -21, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-213)\/16401)\/((-7)\/(-147))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213780 divided by -14.\nAnswer: 15270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 7:39 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.0458392578*1\nAnswer: -0.0458392578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 605556.2l in millilitres?\nAnswer: 605556200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + d + 78. Let f be j(0). Suppose 5*x - f = -18. Solve -3*h - h - x = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a**3 + 13*a**2 + 3. Let f(s) = s**3 + 2*s**2 - s + 2. Let g(n) = -3*f(n) + u(n). Determine g(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 - 2*y**4 - y**3)*(19*y - 54*y + 185*y).\nAnswer: -300*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.3 - 578168?\nAnswer: -578114.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182470 and 14200.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6 = 0, -11 = -5*w + 8*s - 5*s. Solve -3*u = w*t + 28, 3*t + 2*t + 36 = -4*u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1520 = 13*b - 376 - 1146. What is the greatest common divisor of 26 and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/4 of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x = 18 + 38. Put -3, 1, x, 3 in ascending order.\nAnswer: x, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 6:43 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 96 - 4?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y + 95. Let u be g(-19). Suppose 47*w - 39*w - 5456 = u. Does 14 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-995756)\/(-339))\/((-4)\/(-6)) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 5*o**2 + 3. Let s be f(-5). Let y be 2*7 - (s - 3). Suppose y = 4*r - 38. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 311593289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/15*-3*(-9 + 4). Let s(a) = 12*a**3 - 9*a - 1. Let c(g) = -3*g**3 + 2*g. Give p*c(m) + 2*s(m).\nAnswer: -3*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-4*sqrt(68)*2*-6)\/(sqrt(2048)\/sqrt(8) - sqrt(16)*5).\nAnswer: 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/13 + (-3183)\/(-13). Let n = q + -402. Is n\/((5 - 2)\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 33 = 3*k, a + 13*k = 9*k + 14. Suppose 0*d = -3*d - 18. Let h = d + 2. Which is bigger: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zczcicccitlzcczlii. Give prob of sequence llt.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i. Let m(a) = 140*a - 54. Let x(k) = -436*k + 164. Let y(o) = 19*m(o) + 6*x(o). Give y(b(f)).\nAnswer: -44*f - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 6:19 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2022 (base 4) to base 9.\nAnswer: -163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 3, -43 in ascending order.\nAnswer: -43, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 8 = -0. Let i(l) = 18*l - 12. Let w(d) = 6*d - 4. Let a(r) = -2*i(r) + 7*w(r). Calculate the lowest common multiple of a(x) and 14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1825696 divided by 4\nAnswer: 456424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92 + -272\/3. Let w = 1.3 - 1. Put m, 4, w in ascending order.\nAnswer: w, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 141019336 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*v**3 - 2*v**2*w**2 + 348*v*w + 142*w**2 + 17*w + 1 wrt v?\nAnswer: 6*v**2 - 4*v*w**2 + 348*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -29*u - 8. Let x(w) = 32*w + 9. What is -6*s(f) - 5*x(f)?\nAnswer: 14*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2022122010 - 0?\nAnswer: -2022122010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/10759063 and -61\/3052.\nAnswer: 43036252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 570.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/2320 and -1\/1015?\nAnswer: 16240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.664392 grams?\nAnswer: 664392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7623 - -7622.6. Which is the second biggest value? (a) h (b) -1 (c) 0.7 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 - -49. Suppose -f*p - 1268 = -0*p. Round p to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -720 - -1102. Let j = -254 + o. Calculate the remainder when j is divided by 45.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 964?\nAnswer: 10604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - -37 - 17 - 15?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.12 + 0.02. Let m = y - -0.1. Let x = 15.3 + -15.4. Which is the nearest to m? (a) -1\/2 (b) -3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36\/83 or 0?\nAnswer: 36\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 8. Let y = 5.8 - 0.8. Let u = 10 - y. What is the closest to 0.1 in l, u, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -76, -285, 40, 5 in ascending order.\nAnswer: -285, -76, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 5406431?\nAnswer: -5406423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*y = -61 + 231 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -555095 + 52?\nAnswer: -555043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 64*m - 2. Calculate the remainder when d(1) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 3, 2*x - 2*s + 23 = s. Let a = -7 - x. Let o be 4\/(-12) - (-13)\/a. Solve 3*f + 13 = -2*i + i, o*i - 4 = 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, -81, 1\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -24 + (-2688)\/(-112) + 4\/(-9)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34523 > 34524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 43*o - 1638. What is u(36)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.3 + -9. Let h = 4 + -5. What is the nearest to h in s, -1, -2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -3.8?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2771896177?\nAnswer: 2771896177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -504, -7315, -25798, -61791, -121132, -209659, -333210?\n\"Answer: -973*p**3 + 2*p**2 - 6*p + 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Put together 72417.9435 and -0.9.\nAnswer: 72417.0435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 54.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 4*g + 28, 30*u - 15*u + 20 = 16*u + 4*g for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41b (base 16) to base 15.\nAnswer: 4a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -42, -81, -116, -141, -150, -137, -96?\n\"Answer: s**3 - 4*s**2 - 34*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - (4 + -3))*-7. Let w be (-32)\/(-20)*15\/6. Let v(r) = r**2 - 2*r - 4*r + 5 - w*r. Calculate v(c).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*t**3 - 1 + (4*t**3 + 2*t**3 - 4*t**3)*(0 + 2 - 1) - 3 + 3 - t**3 + t - t**3 - t + t**3 + t**2 - t**2 + (-t**3 + 2*t**3 + t**3)*(4 - 4 - 1).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 60286 times -65.4\nAnswer: -3942704.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -21*f**3 - f**2. Suppose -9*d + 2 = 2*u - 13*d, -5*d - 1 = -u. What is z(u)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1656*a**3 + 0*a**2 + 235148*a + a**2 - 235003*a - a**2 wrt a.\nAnswer: -9936*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**1))\/(z\/z**(-2\/3)))\/((z**1*z)\/z**(-1\/4)) assuming z is positive.\nAnswer: z**(-59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -223.402 (b) 2\/95 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10319?\nAnswer: 17, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -3. Let x(t) = t**3 + 4*t**2 + 3*t + 2. Let i be x(q). Solve i*u - 3*u = -4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0061518772 rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/2*(13 - 88\/8). Let g(h) be the second derivative of -h**4\/12 - 2*h**3 - 13*h**2\/2 - 2*h. What are the prime factors of g(a)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2990302 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkkukkkkujujkd. What is prob of picking 1 u and 2 k?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12131 + 4421*o + 3932 - 3474 wrt o?\nAnswer: 4421","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v - 635 = 48*v + 65*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.73736 to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oou when three letters picked without replacement from {a: 3, o: 5, u: 2, c: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 2:39 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*n**3)*(2 + 1 - 2 - 2 + 3 - 2 + (-3 + 4 + 1)*(-3 + 4 + 1) + 1 - 3 + 5 - 4 + 15 + 5)*(-36*n - 29 + 29).\nAnswer: 1656*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -723.94 and -0.17.\nAnswer: 123.0698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 113*c - 326*c + 3*c**3 + 109*c + 111*c in the form x*c**2 + f*c + r*c**3 + q and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17804 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -562*p**2 + p**3 - 558*p**2 + 2244*p**2 - 564*p**2 - 560*p**2.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*q = -q - 35787, 2*q + 47698 = -4*z. Let h = z - -26756. Round h to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42*n**5 + 121*n wrt n?\nAnswer: -840*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/12 + 75\/18. Let z(b) be the first derivative of 3*b**2 - 6\/5*b**5 + 2*b + 2 - b**o - 1\/3*b**6 + 4\/3*b**3. Factor z(d).\nAnswer: -2*(d - 1)*(d + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 1. Suppose 2 = 4*v + 6. Let k be -1 + 2\/(2 + 0). Let t = v + k. Determine c(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*r)*(47161 - 47161 - 2357*r - 9612*r).\nAnswer: 23938*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 15) to base 4.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2913, 2914, 2915, 2916?\nAnswer: 2917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-6)\/q*q*(q\/(q*q**(2\/17)))\/q*(q*q**(4\/9))\/q*q*q*q*q\/(q*q\/(q\/(q*q*q\/q**2*q)))*((q**2)**27)**17 assuming q is positive.\nAnswer: q**(139739\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*y + 88*y + 1802 = -3412 - 2096 for y.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Put together -341.275 and -24922.\nAnswer: -25263.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13, 21, 31, 43, 57, 73, 91?\n\"Answer: t**2 + 5*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**2 + 6*b**2 + 3*b**2 + (9 - 91 + b - 98)*((-5 + 1 + 2)*(-b - 4 + 4) - 4*b + 3*b + 0*b - 3 + 3 + b) to the form g*b + x + i*b**2 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 37. Suppose 0 = -5*z - 0*z - 2*x + 232, 0 = 2*z - 3*x - 108. Let b = j + z. Calculate the highest common divisor of 152 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*y - 283*y - 48*y + 23*y.\nAnswer: -284*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 9*k - 6. Suppose 30 = 11*f - 8*f. Determine u(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c + 16*c = -160. Let j = 24 - c. Solve -5*x + 15 = 0, -n - j*x + 8 = -2*x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 148 - 120. Suppose p*h - 16 - 124 = 0. Solve 3*v = h*k + 1 + 1, -v + 2 = -k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 313385974 and 58790?\nAnswer: 1566929870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x + x**2 + 0*x**4 + 0 + 0*x**3 + 1\/60*x**5. Let c(v) be the first derivative of i(v). Let w(t) = 3*t. What is c(w(g))?\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 586280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20567 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -1, 2, 2555, 5 in ascending order.\nAnswer: -4, -2, -1, 2, 5, 2555","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6\/377 - 4183\/2262. Let q be ((-4)\/16)\/((-2)\/(-8)). Which is smaller: u or q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - m - 523 = -91, 2*m = -2*c + 180. Let n = 128 + c. What is the greatest common factor of 129 and n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.3 + -0.3. Let j = 3 - 4. Put j, -2\/5, y in ascending order.\nAnswer: j, -2\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1121991, 4487921, 10097789, 17951595?\n\"Answer: 1121969*m**2 + 23*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.39997? (a) 7 (b) 2\/3 (c) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 40 - -58?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**3\/3 + 7*p**2\/2 + 3*p + 1. Let a be u(-6). Is (15\/(-6))\/(a\/138) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42601*n + 52960*n - 3488*n.\nAnswer: 92073*n","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 429511192 a multiple of 1998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15 - 12)*(-14)\/3. Let u be ((-85)\/(-10))\/(1\/(-2)). Let b = z - u. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnun when four letters picked without replacement from {u: 5, n: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 0*v - 16\/3*v**3 + 0*v**2 + 0*v**4 - 18 - 1\/5*v**5. What is the third derivative of t(f) wrt f?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534987 is divided by 478.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -22. Suppose -5 = k*t - 17. Suppose -t*i + 171 = -i. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9359, -9388, -9415, -9440, -9463, -9484?\n\"Answer: n**2 - 32*n - 9328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 8\/283 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**3 + 11*n**3 - 15*n**3 + (-3*n - 3*n + 5*n)*(n**2 - 5*n**2 + 3*n**2).\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*p + 2*n = -6, -18 = -5*p + 2*n. Suppose 2*z - 3 = 3*v, -p*v = -8 - 2. Let l = 8 + -3. What is the remainder when z is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1696958*w**3 - 2*w**2 - 23*w - 6237.\nAnswer: -10181748*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 326239 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((-15 - -13) + -4 + 14 - 12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i - 76*i + 289018 = 0. Is 74 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*(p*p**4\/p)\/p)\/p))\/p**(-1\/10)*((p**20*p)\/p)**13)**(1\/9) assuming p is positive.\nAnswer: p**(2581\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*n**2 - n**2 - 3 + 0*n**2 + 11 - n**2.\nAnswer: -2*(n - 2)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11\/(-22))\/(3\/(-30)) + 45 + 2. Solve w - 53 + y = 2*g, 3*w = -4*g + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/35? (a) -1 (b) -2 (c) -3\/1034 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 + 28*n + 93. Let c be j(31). Solve -a + c*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n**(-1\/6)*n)\/n*n**(3\/11))\/(n**(1\/4))**(-1\/13) assuming n is positive.\nAnswer: n**(1931\/1716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 131242.5*-0.2\nAnswer: -26248.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**6\/120 + n**4\/2 - 6*n**2 - 36*n. Let v(p) be the third derivative of z(p). Let u(b) = -2*b + b + 0*b. What is v(u(c))?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -47, 0, -2, -1, 5, -735 in decreasing order.\nAnswer: 5, 0, -1, -2, -12, -47, -735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 667233 and 4284?\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cw when two letters picked without replacement from {c: 2, w: 7}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1622671*g**5 - 5*g**2 - 15684176*g.\nAnswer: -32453420*g**3 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*d**3*l**2 + 4*d**3 - 22145*d**2*l**4 - 6213*d wrt l?\nAnswer: -4*d**3*l - 88580*d**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -3) + -1 + (-64 - -113) + -105?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkpq when four letters picked without replacement from rrqpppkpp.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2. Let t(n) = 6*n - 14*n + 1 - 1. What is o(t(l))?\nAnswer: 64*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 165*u**6 - u**4 + 395*u**2?\nAnswer: 19800*u**3 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6186*q - 6192*q + 12373*q + 6.\nAnswer: -5*q + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1477 and 3982203.\nAnswer: 27875421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**1*v)\/v)**(9\/8))**33 assuming v is positive.\nAnswer: v**(297\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -5 + 6 + (-1 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 5*w = 0. Suppose 4*b + 32 - 8 = w. Calculate the remainder when 28 is divided by (b\/(-15))\/(1\/25).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2191776?\nAnswer: 2, 3, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 12*z - 6. Give d(-2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-30)*b)**(-30)*b\/(b*b**(-6))*b\/(b*b\/(b*b*b**12*b*b)))**35 assuming b is positive.\nAnswer: b**31185","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 511 and (-1936)\/(-66)*876\/16?\nAnswer: 11242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vssy when four letters picked without replacement from {s: 3, v: 1, y: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -176, -218, -260, -302, -344?\n\"Answer: -42*h - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/106036 and -37\/480?\nAnswer: 12724320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -657 - -657.07. What is the biggest value in 0.22, s, -0.1?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 + 221?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*i**2 + 70*i**2 - 14*i**2 + (-2*i + 5*i - i)*(5*i - i - 2*i))*(1 - 2*i**2 + 0*i**2 - 3).\nAnswer: -56*i**4 - 56*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 8*b - 8. Let a be k(16). Let d = a - 264. Is 21 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-955.\nAnswer: -955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4598)*-2 - sqrt(38))\/(sqrt(72) + sqrt(72) + 2*sqrt(72)))**2.\nAnswer: 10051\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(70)*2 + 3*(sqrt(70) - sqrt(70)*1))\/(-4*((sqrt(10) - -1*sqrt(10)) + sqrt(10))*5).\nAnswer: -sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 127 - 887\/7. Suppose 5*a = 5, 0 = l + 2*a + 1 - 5. Factor -4\/7*z + r*z**l + 2\/7.\nAnswer: 2*(z - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.2 + -4. Let d = -0.2 + 0.3. Let v be 4\/4*3*(-12)\/(-234). Which is the smallest value? (a) v (b) d (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*k**3 + 18*k**3 + 0*k**3 + 2*k**3 + 33*k**3 + 17*k**3 + (-1 - 2*k**3 + 1)*(2 + 1 - 5) to the form t + a*k + n*k**3 + v*k**2 and give n.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*k - 4 - 2 = 0, -5*j + 10 = 2*k. Let o be 15\/25*(j - 7). What is the third biggest value in o, -5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -4*r + 3*p - 2, 4*r = 5*p - 9. What are the prime factors of (6 + -2)*-29*(r + 0)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**0\/k**(-3) assuming k is positive.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**15*a\/(a*a**(-4)*a) assuming a is positive.\nAnswer: a**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -0.18 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.1 + -1.8. Let h be 3753\/(-12) + 6\/(-24). Let v = -303 - h. Is v less than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4310100754.\nAnswer: 2, 67, 283, 113657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(15\/(-50))\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -42*m**5 - 5854*m**4 - 30622*m**3 - 45386*m**2 - 12536*m + 8040 = 0.\nAnswer: -134, -3, -5\/3, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 63*a + 7. Let x be t(1). Factor -235*c + 107*c**2 - 106*c**2 + 23*c**3 - 3*c**4 + 80 + x.\nAnswer: -(c - 5)**2*(c + 3)*(3*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 3*i + 0*i)*(0*i**3 - 2*i**3 + i**3) + 2*i**2 + i**4 - 2*i**2.\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -184, -491, -808, -1141, -1496, -1879, -2296, -2753?\n\"Answer: -n**3 + n**2 - 303*n + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 16 = 18 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - z - 20 = 0. Let l(w) = -w**3 + w**2 - 1. Let q(d) = -6*d**3 - 3*d - 5. Let s(k) = -5*l(k) + q(k). What is s(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2603, -2031, -1459?\nAnswer: -887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 693988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 23326*g + 2. Let j be i(2). Let p = j - 21454. Suppose -p = -4*b + b. Round b to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 14, -9, 197, -36.\nAnswer: -36, -9, 4, 14, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37 and 1813.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/13, 144, -5\/4, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wuwllluliwwlll. Give prob of picking 1 i and 3 l.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**4 + 30*l**3 - 20*l**2 - 30*l + 25 = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5221, -10414, -15721, -21196, -26893?\nAnswer: -32866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -4. Which is the nearest to m? (a) 4\/3 (b) 2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/21)*t\/t**(5\/6)*t assuming t is positive.\nAnswer: t**(17\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 15*g - 96. Let p be b(7). Let w(a) = a - 3. Let o be w(6). What is the second derivative of -11*c**5 - c + p*c**5 - o*c wrt c?\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/3121266 and 151\/3492?\nAnswer: 18727596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53141999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 48*f**2 - 19*f + 321. What are the prime factors of c(49)?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91 and 21931.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 3. Suppose -23*r + 26*r = 18. Suppose -g + 31 = 5*l + r, 3*l = 3*g - 21. Solve o*t + 4*b = -g, -2*t - b - 2 = b for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 4, 5, 413.\nAnswer: -36, 4, 5, 413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -45 (b) 19\/6 (c) 0.88 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 16. Let z be h(-19). Let v be 3 + 3\/6*-22. Sort z, -4, v.\nAnswer: v, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -111*p + 9650. Calculate k(87).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 795*q + 1048*q - 75630 = 494*q + 2612 for q.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*(-3)\/(-648))\/(70\/840)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 911*g**2 - 7*g - 8. What is the tens digit of p(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 8 = 2*a. Let n be 0 - 2 - (-7 + a). Let d(t) = 52*t + 1. Is d(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 647 = -2*v, -377 = -2*v - 2*h + 265. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1\/14))\/u*u**14 assuming u is positive.\nAnswer: u**(197\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -58+0.38\nAnswer: -57.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(720) + (sqrt(720) + -1 + sqrt(720) - sqrt(720)) + sqrt(720) - sqrt(720)) + 3 - (sqrt(720)*-2*3 + sqrt(720))*5)*-5 + 2)**2.\nAnswer: -6480*sqrt(5) + 13122004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 28 - 9) + -12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2152438654.\nAnswer: 2, 349, 443, 6961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(5 + ((sqrt(3)*1 - sqrt(3))*2 - (sqrt(120)\/sqrt(4))\/sqrt(10)) + -1 + -1))**2.\nAnswer: -54*sqrt(3) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9833 + -0.5?\nAnswer: 0.4833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 33 in -1\/8, -2\/13, 2\/39, -1\/2, -4?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -330\/161 (b) -4 (c) -2\/5 (d) -2 (e) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (132\/6)\/(1*2). Suppose -2*b + 15 + 6 = -3*m, 2*b - 28 = 4*m. Let f = v + m. Solve -f*s + 2 = -2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -289217502.\nAnswer: -289217501.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/32 - 1) + (79 - 298027\/3760).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ca when two letters picked without replacement from {c: 1, a: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 + 2*x**3 - 10*x**3)*(0 - 1 + 2) + (-x**3 - 2*x**3 + 2*x**3)*(-10 + 2 - 6).\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 65 = -3*p, -15 = 2*i - i + 2*p. Let s = i + 28. What is the lowest common multiple of s and 32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -761*f**3 + 347*f - 2 + 376*f**3 + 386*f**3 as y*f**3 + u*f + s + a*f**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 21 = 6. Let a be ((-1)\/w)\/((-1)\/(-12)). Find the second derivative of -3 + 9*h - 6*h**a - 4*h + 3 wrt h.\nAnswer: -72*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4858, -9721, -14586, -19453, -24322, -29193?\nAnswer: -34066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**5\/20 - l**4\/2 + l**2 + 3*l. Let r be h(-6). Find the third derivative of u**r + 3*u**4 + 13*u - 13*u wrt u.\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5526 is divided by 5515?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2078896949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*c - 37 + 37.\nAnswer: -33*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8366 - -8367. What is the smallest value in -0.08, -3, u, -9, -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/7111644 and 49\/14223288.\nAnswer: 14223288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13315*x**2 - 707*x - 5*x**3 + 13315*x**2 + 707*x.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -20.68.\nAnswer: 17.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d877 (base 15) to base 6.\nAnswer: -551551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 - 11*w - 7*w + 18*w. Let t(q) = -4*q**2 - q**2 + 0*q**2 + q**2. What is a(t(k))?\nAnswer: 32*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -5*h + o + 331, 3 = -3*o. Let t be 4\/22*1 - 1068\/h. Which is greater: -17 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21\/2 + -29\/6. Calculate the common denominator of -3\/28 and x.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/854 in -4\/11, -5, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-44))\/(2*81\/324).\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(2\/3)*h)**(7\/10)*(h\/(h\/(h*h**0)))**(-15))\/(h**(-5\/3)\/(h**6\/h*h)*h**(-1)\/h**(1\/4)) assuming h is positive.\nAnswer: h**(-253\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by 524.\nAnswer: -15\/262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 769 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 122873 (base 11) to base 7\nAnswer: 1435503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 462\/5 - 92. Factor l*k**2 + 0 + 4\/5*k.\nAnswer: 2*k*(k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-344)\/22)\/(10860\/59730).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -d + 60. Let w = d - -91. List the prime factors of w.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464872257?\nAnswer: 3, 17217491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23339.\nAnswer: 23339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1352 = -9*y - 1397 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 17*s - 23. Let x be g(-18). Let o be (-4)\/(-2) + (x - -3). Which is greater: 3\/13 or o?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7177.16 take away 0.7?\nAnswer: 7176.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1552 greater than or equal to -1835?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78 - 78.00159. What is j rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - 37. Suppose 5*z - 105 = -5*w, 2*z + v - 17 = -w. Suppose -15 = -4*r + 3*r. What is the remainder when w is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -197*c**2 - 1. Let f(q) = 787*q**2 + 4. Let v(b) = 2*f(b) + 9*k(b). Let x be v(-5). Is (-1 - -2)\/((-16)\/x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 49*i**5\/10 - 483*i**4\/2 + 272*i**3 - 116*i**2 + 76*i + 191. Let b(w) be the first derivative of s(w). Solve b(n) = 0.\nAnswer: 2\/7, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**3\/2 + 72*a**2 = 0. Calculate a.\nAnswer: -48, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 4.5. Let h = -0.5 - 0.2. Let t = h - -2.7. Which is the nearest to -3? (a) t (b) 2\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 + i - 1. Let n = 1 + 2. Suppose 0 = -s - 0*s + 6. Calculate the lowest common multiple of j(n) and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((((sqrt(192) - (-1*2*sqrt(192) + sqrt(192) + sqrt(192)) - sqrt(192)) + sqrt(192))*-4)\/((-2*sqrt(288) - sqrt(18))\/sqrt(3)))**2 + 0).\nAnswer: -1024\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 7:36 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 9:22 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420820 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.3*0.11.\nAnswer: -0.363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*x = 5, x + 3*x = -8. Let u(j) = j**3 - 15*j**2 + 18*j - 31. Let d be u(14). Calculate the highest common factor of d and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-255)\/(-270))\/(8\/6). Let x(w) be the third derivative of -o*w**4 + 0*w**3 + 2*w**2 + 0*w + 0. Let k(r) = -r. Calculate x(k(b)).\nAnswer: 17*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*m**2 + 35*m**2 + 7*m**2 + 4*m**2 - 10*m**2.\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -126, 0, 6\/17.\nAnswer: -126, -14, 0, 6\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 16*c**3 + 51*c**2 + 24*c - 11. Let d(m) = -3*m**3 - 10*m**2 - 5*m + 2. Let n(w) = 11*d(w) + 2*q(w). Factor n(s).\nAnswer: -s*(s + 1)*(s + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or -12941.19?\nAnswer: -12941.19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y**3 - 5*y**2 - y + 20. Let s be w(8). Suppose 6*l - 2*l - 3*i - 1716 = 0, -3*i + s = 4*l. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**2 + 1\/60*w**5 + 1\/12*w**4 + 0*w**3 + 0 + 0*w. Determine t, given that k(t) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r - 7. Let g(n) = -6*n - 20. Let l = -28 - -14. Determine l*h(j) + 5*g(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*t + (5*t - 2*t - t)*(2 + 18 + 1).\nAnswer: 40*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzqyzvzvvzzvyyzzzzz. What is prob of sequence vyv?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10219?\nAnswer: 11, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (241*d - 241*d - 121*d**3)*(15*d - 3*d - 11*d).\nAnswer: -121*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*t**2 + 3*t**3 + 72*t**2 + 17*t**3 - 36*t**2 + 1.\nAnswer: 20*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 9 - 15 = 0. Suppose -w*z + z = 5. Let u be z\/2 - (-49)\/154. Sort u, -0.1, -4\/5 in descending order.\nAnswer: -0.1, u, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 530950 divided by -37925\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109905, 110228, 110563, 110916, 111293?\nAnswer: 111700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -307268, -308503, -309738, -310973, -312208?\nAnswer: -313443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j - 1. Let p be (-12)\/(-8)*4\/(-3). Let a(z) = -2*z**3 - 12*z**2 + 5*z - 57. Calculate the smallest common multiple of a(-7) and u(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*s - 64554 = 7*s. Round s to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*p**2*z**2 - p**2*z + 5796*p**2 - 13*p*z**3 + 24*z**2 + 7*z wrt z?\nAnswer: -82*p**2 - 78*p*z + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003521 rounded to four decimal places?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*1*(5\/(-3))\/(3245\/(-26609))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21804264 - -665676.\nAnswer: 22469940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 13) in base 7?\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 571368 and 126882?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, c: 1, x: 1, o: 1, h: 4}. Give prob of sequence oc.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4573\/(-807) - (10\/(-6))\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 63315115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1025211?\nAnswer: 3, 11, 47, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 1\/30*j**5 + 3*j**2 + 0 + 1\/120*j**6 - 1\/24*j**4 - 1\/3*j**3 + 0*j. Factor w(c).\nAnswer: (c - 1)*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-12)\/(-920))\/((-33)\/55))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2560*o - 1157*o - 1111*o + 1 to the form u + d*o and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4730720733.\nAnswer: 3, 761, 230239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -8 (c) 1.9 (d) 0.16 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 718224 is divided by 1109.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 + -224\/5. Suppose 3*z = 2 + 4. Put z, k, -4 in descending order.\nAnswer: z, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**4\/a)**(-27)\/(a**(4\/9)*a\/(a\/((a**4*a)\/a)*a)))**23 assuming a is positive.\nAnswer: a**(-17480\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 335934.1 litres in millilitres?\nAnswer: 335934100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 623560?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1826620 is divided by 683.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 104227667.\nAnswer: -208455334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4\/541, -3\/8, 2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 15*f + 7. Let b(u) = -14*u - 6. Calculate -6*b(a) - 5*g(a).\nAnswer: 9*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-4)\/18*17) + (-656)\/(-2952)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31844.33mm to centimeters.\nAnswer: 3184.433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -142.07 to zero decimal places.\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22\/5 + (-14)\/35. Factor -x*h**2 - 3*h**2 - 3*h + 6*h**4 + 3*h**5 + h**2.\nAnswer: 3*h*(h - 1)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14456979 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**3 + 7*h**2 - 20*h - 8. What is s(4)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8719110 and 1215.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-342)\/(-190))\/(2\/90). Solve i = -18*x + 9 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3260?\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43.99 - -44. Let t = q - 0.41. Which is the closest to -1? (a) t (b) -4 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-151 - (-2 + 4)). Let r = f + 93. Is 3 - r\/(-3)*-1 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28969 and 226351.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3579274885?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 10*h. Let c(a) = a**2 + 28*a + 801. Calculate c(d) - 3*z(d).\nAnswer: d**2 - 2*d + 801","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2483.980284 - -2484.2. Let k = b + -0.22. What is k rounded to five dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41475 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: Suppose 0 = 4*f - 3*d - 372 - 2778, -5*f + 3934 = -2*d. Which is smaller: f or 2356\/3?\nAnswer: 2356\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 17498541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/4, 39, -4, 329, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*1*52\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 f when three letters picked without replacement from afeesfjfafjojao.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2. Suppose 5*y - 19*y = 56. Let f(n) = -1955*n. Let i(v) = 31*v. Let k(m) = y*f(m) - 253*i(m). Calculate k(a(r)).\nAnswer: 23*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1623303576.\nAnswer: 2, 3, 22545883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1.8*0.6\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 4*z**3 + 25956*z**2 + 56142828*z + 40478978988 = 0.\nAnswer: -2163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -758402.3 - -10810.65?\nAnswer: -747591.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -21?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 34\/11 - -2. Let p = -18659\/54604 - -1\/1241. Let n = f - p. Which is the second biggest value? (a) -3\/5 (b) n (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.38186 from -1120.\nAnswer: -1118.61814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and -0.69084?\nAnswer: 0.89084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/9082491 and -113\/13210896?\nAnswer: 145319856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 5. Suppose u*q - 11 = 1. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -6 + 35 + -28\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-0.00789.\nAnswer: 0.01578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 214\/14 + (-16)\/7 + 2. Suppose -272 = -2*m - p, -3*m - 2*p - p + 411 = 0. What is the highest common factor of m and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005840998 rounded to 7 dps?\nAnswer: -0.0005841","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.186261ns in days?\nAnswer: 0.0000000000007660446875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 8:43 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5810 divided by -2525\nAnswer: 1162\/505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/404, 1.61, -8, 0.07.\nAnswer: -8, 1\/404, 0.07, 1.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2192 = -0*p. What is the hundreds digit of p\/(-18) - (-3 - 25\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48 - 4*g - 14 + 5 + 16 as c + j*g and give c.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2536.997 grams to tonnes.\nAnswer: 0.002536997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 4. What is the third biggest value in 2\/17, 0.3, -4, h?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -150403190, -150403192, -150403194?\n\"Answer: -2*k - 150403188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0*t = 15. Let f = 6 - t. Suppose -3*c + 3 = -3, -j = -c - f. Solve v - j*b + 0*b = -7, 5*b = 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**3 - 3*g**2 + 3*g + 27. Let k(p) = p**3 + p**2 - p - 13. Let o(r) = 5*k(r) + 2*y(r). Let m be o(4). Suppose -65 = -2*v + m. Is 23 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2108 divided by -4\nAnswer: -527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/6)\/((c\/c**6)\/c*c*c*c))\/((c\/c**2)\/c*c*c\/(c\/(c\/c**6)))*(c*c**(1\/2)*c)**(2\/79)*(c\/(c**(1\/8)*c*c))\/(c\/(c*c**(-1\/4)\/c)) assuming c is positive.\nAnswer: c**(12365\/1896)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 71\/6 - 11\/(-66). Let z = t + -10. What is the third derivative of 4*s**2 - 11*s**z + 10*s**2 - s**4 wrt s?\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.692 (b) -1\/8 (c) -0.4 (d) 0.1 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107528202067 + -0.4.\nAnswer: 107528202066.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63*a**3 + 2*a**2 - 34.\nAnswer: -189*a**2 + 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -69) + -19 + 16 + (30 - (25 - 4))\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8977 = -7358*r - 13097 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.0122*-0.00592\nAnswer: -0.000072224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 64*g - g**2 - 11 - 125*g + 61*g. Calculate m(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*27\/(-1260)*-3)\/(278\/(-695))?\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/11*x**3 + 2\/11*x + 2\/11 - 2\/11*x**2.\nAnswer: -2*(x - 1)*(x + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-185)\/222 + 3125\/6. What is the highest common divisor of 120 and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 10. Solve -f*z + 5 = -9*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -4*g**3 + 6 + 12*g**2 + g + 3*g**3 + 3. Is b(12) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 300 by -6.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-286)\/(-1001) + (-10)\/(-14) + -1. Let c(b) be the first derivative of -8*b + 7\/5*b**5 - 8 + 0*b**4 + 0*b**2 + o*b**3. Differentiate c(w) wrt w.\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 6, 0, 0.09, 0.4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 529 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -234 + -2?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 45*z**2\/2 + 8*z - 25. Let r be d(-7). Let j = r - -528. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(6\/(-3))*(-266)\/9177.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 601, -2, -4 in ascending order.\nAnswer: -5, -4, -2, 2, 601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*16\/12*-1. Let g(r) = -3*r**2 + 2. Let o(l) = 1 - 2*l**2 - 3*l + 3*l. Give d*g(j) + 7*o(j).\nAnswer: -2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + g)*(10*g + 0*g - 3*g + (-5 + 0 + 3)*(4 - 4 - 2*g)).\nAnswer: 11*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.8410103 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 - 10*i + 119.\nAnswer: -(i - 7)*(i + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53471*d**4*y + 4*d*y - 163*y + 79 wrt d?\nAnswer: 641652*d**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 + 56. Let x be (-1 - 3)\/(3\/1509 + 0). What are the prime factors of 4\/y - x\/12?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -17*v**4\/4 - 13*v**3\/3 + 13*v**2\/2 - 13*v - 3. Let d(k) = 8*k**3 + 6*k**2 - 6*k + 6. What is -13*d(m) - 6*l(m)?\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2. Let d(b) = -4766*b - 1850. Calculate d(h(v)).\nAnswer: -4766*v**2 - 1850","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26831*u + 8*u**2 + 13424*u - 7*u**2 + 13407*u.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 726 is divided by 161.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*j + 292 = -1714. Calculate the highest common factor of j and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3513.1073 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 26.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27147.\nAnswer: 3, 9049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14946639 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h + 6. Let x be u(-6). Suppose 6*v + 3249641 + 350359 = x. What is v rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(700) - (sqrt(28) + -3))*-5 + -1.\nAnswer: -16 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, 44, -2355 in ascending order.\nAnswer: -2355, -40, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49582 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -43\/5157363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = -3*q - 2*v, -26 = -5*q + 4*v. Suppose -3*m - 5 = -0*m + 5*u, q*m = 3*u - 16. What are the prime factors of ((-15)\/m)\/((-3)\/(-22))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*j**3*p**3*s + 64*j**3*p*s - j**2*p**2*s - 5*j*p**3 - p*s wrt j?\nAnswer: -18*p**3*s + 384*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 21?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 9*a**2. Let v(p) = -31*p**2 + 57*p**2 - 9*p**2. Determine h(v(w)).\nAnswer: 2601*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**4 + 125*l**5 - 131*l**5 - 6*l**4 + (7*l**4 - 3*l**4 - l**4)*(-6*l - 32*l + 4*l).\nAnswer: -108*l**5 - 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(3) - ((sqrt(6)\/sqrt(2))**2 + -4) - 2*(sqrt(3) + -1))*1*-3.\nAnswer: -3*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22.899 * 4.\nAnswer: 91.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/2366 + -4727\/11830. What is the smallest value in 0, 3, -2\/137, 6, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -16*w. Let s(u) = -341 + 17*u**2 - u**2 + 341. Give s(h(f)).\nAnswer: 4096*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 12:35 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = k - 45. Is 1899*((-1)\/6 + k\/(-18)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 72151.37 millennia?\nAnswer: 865816440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 166*r + 164. Let w(z) = 83*z + 82. Let a(f) = 3*j(f) - 5*w(f). What is the units digit of a(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -157906*c. Let i(y) = -4*y**2. Calculate u(i(d)).\nAnswer: 631624*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - -10. Find the third derivative of 10*l**2 - l**2 - 7*l**6 + b*l**6 wrt l.\nAnswer: 1080*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1343.017 rounded to the nearest ten?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 777, 1545, 2307, 3063, 3813, 4557, 5295?\n\"Answer: -3*r**2 + 777*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/789 or -1?\nAnswer: 4\/789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 53362\/4 + 5 + 108\/(-24) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94991 equal to 95121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1549 = -22*s + 1769 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {r: 4, m: 3, h: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = u - g - 38, 2*u = -5*g + 41. Suppose -22*c = -25*c + u. Solve -5*l - 23 = -3*x, -2*l - c = -0*x - 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u - 228*u - 6*u**3 + 199 - 159*u - 1219 - 48*u**2. Let m(s) = -17*s**3 - 144*s**2 - 1152*s - 3061. Let x(a) = -11*l(a) + 4*m(a). Factor x(r).\nAnswer: -2*(r + 8)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264765 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 10*s**2 - 4*s - 5. Calculate k(-10).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/2 (b) 70 (c) -11 (d) 2 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n. Let u(l) = -3470603*l. Give x(u(r)).\nAnswer: 3470603*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, -4, -8, 4.\nAnswer: -8, -6, -4, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7)\/n*(n*n**(2\/7)\/n)\/n)\/(n**(-2\/5)\/n)**10*(n*n**(-1\/7))\/((n*n*n**(-7))\/n)*n*n**(-3)\/n*n*n\/(n**(-5)*n) assuming n is positive.\nAnswer: n**(153\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10151592037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -3.433.\nAnswer: -3.433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**4\/6 - 20*q**3\/3 - 27*q**2\/2 - 5. Let z(h) be the second derivative of p(h). Let r be z(11). Solve -5*n + r = -6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 4*d - d)*(-1 + 2 + 1) + 3*d - 5*d + 0*d + 2*d + 1 - 1 - 38*d - 16*d - 3*d - 15*d.\nAnswer: -76*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**2 + 8260*a - 3411380 = 0 for a.\nAnswer: 826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 109766 + 102981\nAnswer: 212747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3\/3)\/((-130)\/40) and 3\/8?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/((i*i**40)\/i)*i))**(-30) assuming i is positive.\nAnswer: i**(-1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 5*q + 4*a, -5*q - q + 4*a - 20 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 2*f**2 - f. Let a be t(-2). Suppose 3*l - 895 = -a*b + 254, -4*b + 2301 = 5*l. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/9)\/((-33)\/((-891)\/(-18))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 71*f**4 - 2*f**3 - 3*f**2 - 2484*f + 384544503?\nAnswer: 284*f**3 - 6*f**2 - 6*f - 2484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 926313145 to the power of 1\/3, to the nearest integer?\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088)*3 + sqrt(17) - (sqrt(17) + sqrt(17) + sqrt(833)*1 + sqrt(833)) - (5 + sqrt(17)*1 + 3 + 4*sqrt(17)))**2.\nAnswer: -64*sqrt(17) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 + 3891*u**2 + 38637*u + 34749.\nAnswer: 3*(u + 1)*(u + 9)*(u + 1287)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**4\/4 - 33057*g**3\/2 - 33054*g**2 = 0.\nAnswer: -22036, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/51*(-28509)\/1118?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 515445613 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000340463968 to seven dps.\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -9*d**2. Let t(z) be the third derivative of 107*z**5\/10 + 2406*z**2 + 2. What is s(t(l))?\nAnswer: -3709476*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3855 to two decimal places.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j + 249. Let z(i) = 10*i + 1166. Let v(q) = 14*u(q) - 3*z(q). Let h(p) = 1. Let n(f) = 2. Let k(a) = 5*h(a) - 3*n(a). Give -10*k(m) + v(m).\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*h**2*l - 3*h**2 + 9*h*l + 7*h + 5*l + 472 wrt h?\nAnswer: -4*h*l - 6*h + 9*l + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 5, -35 in descending order.\nAnswer: 5, -21, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 2*m = 694, 548 = 4*i + 3*m - 5*m. List the prime factors of i.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1213375955 to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -835*c**4 + 77*c - 4.\nAnswer: -10020*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 22*d**2 + 16*d - 97. Suppose 88 + 59 = -7*n. Calculate the remainder when 27 is divided by i(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 662824642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 16)*(0 - (-5)\/(-10)). What is the highest common divisor of c and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 15\/4 of a second?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 1. Let s(m) = 3*m - 2. Let k be ((-2)\/6)\/((-3)\/234). Suppose -4*f + k - 30 = 0. Determine f*p(d) - s(d).\nAnswer: -3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1006983 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2180 is divided by 2157?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(-270))\/((-4)\/(-15))*-24?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 y, and 1 q when four letters picked without replacement from {q: 4, y: 4, x: 1, i: 2}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 5*j + 106, 3*z - 7*j + 0*j = -j + 126 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/42 + (-248216)\/(-483).\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4\/5, -8, 4, 1.\nAnswer: -8, 4\/5, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 6, 10*c = 5*u + 14*c - 68789. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(21)*-6 - sqrt(21))\/sqrt(3).\nAnswer: -7*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2430634.\nAnswer: 2, 761, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**4 - c**4 + 7*c**4 + (0 + 0 + c**2)*(-3 + 3 - c**2) - 4*c**4 + 0*c**4 + 2*c**4 + 6 - 6 - c**4.\nAnswer: 6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(-1\/4)\/b*b))**(-10\/7))**(-34) assuming b is positive.\nAnswer: b**(425\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(19) + sqrt(190)\/sqrt(10) + 4))**2*5.\nAnswer: 320*sqrt(19) + 1840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, k: 4, r: 2, l: 2, d: 2, q: 1}. Give prob of sequence rl.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 4:22 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8008)\/16 - (0 + 2\/4). Let x = 823 + l. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*w + 4*n - 141, 52 = w + 3*n. Calculate the highest common divisor of w and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 + 331 = 5*g - 4*n, -4*g - 2*n + 186 = 0. Let b = 541 - 361. What is the remainder when b is divided by g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*t + 871 - 1168 = -792 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -226?\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by 22.\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/300 and 73\/2730.\nAnswer: 27300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xaaxxxab. What is prob of sequence aaax?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209189 is divided by 69653?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 256426\/33 less than or equal to 7771?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of -t**3\/3 - 43*t**2\/2 - 4*t + 33. Calculate y(-23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 53 - 21 = 0. Let p = 18 - 16. Does 3 divide -2 - p - g\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 170 - 30. Suppose v = c - 3*p + p, 5*c - p = 745. Let y be (-2)\/(-11) - c\/(-22). Solve y = -t + 4*w, -4*t + 8 = 2*w - 6*w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-46) - (-13872871)\/2461. What is j rounded to the nearest 100?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1521.526 rounded to the nearest ten?\nAnswer: -1520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(2\/5)*q*(q\/(q\/((q*q*q\/(q\/(q\/(q\/(q\/(((q**(1\/6)\/q*q)\/q)\/q))))*q))\/q*q*q*q)))\/q)\/(q**(3\/2)\/(q**(-3\/8)\/q)) assuming q is positive.\nAnswer: q**(643\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t - 4*t - 998*t**2 - 1040*t**2.\nAnswer: -2038*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**3 - 2*r - 4. Suppose 6*h - 10 = 20. Let b(g) = -4 - 2*g + g**3 + 2 - 3 + g**3. Determine h*n(f) - 4*b(f).\nAnswer: 2*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (778\/18 + 2\/(-9))*2.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 4*l - 4*l)*(542*l**2 - 367*l**2 - 307*l**2) - 5*l**3 + 5*l**3 - 4*l**3.\nAnswer: 128*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(153)*-2*-3)\/(-3*(sqrt(441) - (sqrt(441) - (sqrt(441) + sqrt(441)*3) - sqrt(441)) - sqrt(9))).\nAnswer: -3*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(2448) - (-3*sqrt(1088))**2.\nAnswer: -9795 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-1 - -2 - 0) + 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 546?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -6*v + 99. Let t(k) = k - 20. Let c(u) = -11*t(u) - 2*w(u). Calculate the lowest common multiple of c(-11) and 4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 3:45 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50760.52 millilitres to litres.\nAnswer: 50.76052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b + 2 + 15 - 2*b - 88.\nAnswer: -5*b - 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -24555306*z. Let q(p) = 4*p. Determine f(q(y)).\nAnswer: -98221224*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*d - 7. Let y(v) = -2*v - 5*v**d - 3*v + 6*v. Let i(p) = -p**2 - 4*p + 6. Let s be i(-5). What is y(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 * 2\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**4 + 10*h**4 - 18*h**4)*(2*h + 2 - 2) - 18*h**4 - 19*h**5 + 18*h**4.\nAnswer: -41*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 90491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -82659982?\nAnswer: 82659979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7283126.9999925 + -7283091. Let k = s - 36. Round k to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -3*p - 1. Let d(q) = -7*q - 2. Let v(g) = d(g) - 2*n(g). Let k(x) = 89*x. Give k(v(s)).\nAnswer: -89*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -266 + 261. Let q(h) = -4*h**2 + 6*h. Let r(z) = z**2 - z. Determine g*r(p) - q(p).\nAnswer: -p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 2*q + 0*q)*(33 - 53 - 39 - 109).\nAnswer: -336*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 18*h**3 - 17*h**3 + 1 - 2 + 4*h**2. What is m(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23688 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -17)*(-1)\/(-2). Suppose 13*v - h*v + 16 = 0. Let w(m) = m**3 + 3*m**2 - 2*m + 1. Determine w(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(6*(-1 + sqrt(684))*-1)**2.\nAnswer: -864*sqrt(19) + 49320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2 = -2*j + 9, g - 26 = -5*j. Let l be 3 + g + (3 - 0). Let x = -11 + 32. What is the greatest common divisor of x and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18709 or -2\/107?\nAnswer: 18709","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**2 - 5*q + 3. Let n(h) be the second derivative of 2*h - h**3 + 5 + 2*h**2 - 1\/6*h**4. Give -3*n(o) + 4*p(o).\nAnswer: -2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b - b**2)*((4 - 5 + 0)*(-b + 2*b + b) - 2*b - 3*b - 4*b).\nAnswer: 11*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 1) + (12 - (26 - 19) - 15) + -9?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 2\/7, -5, -5745, -1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(931) + 1) + -4*-6*sqrt(95)\/sqrt(5).\nAnswer: -4*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/15*-255*2. Let z = t - 110. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-9) + 4\/6. Let g(v) = v**2 - 2*v + 3. Let k be g(w). Solve 0 = -k*m + 18 - 3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)*2*-1)\/sqrt(6))\/(3*sqrt(125)*-2).\nAnswer: sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = x - 9, 5*h + 4 = 3*h + 2*x for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3\/4*w**3 - 3\/2*w - 9\/4*w**2.\nAnswer: -3*w*(w + 1)*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 90681569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 divided by -50?\nAnswer: -57\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 95, 190, 285?\n\"Answer: 95*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -46798 times -0.012?\nAnswer: 561.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 11*p**2.\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 - 4*t + 5.\nAnswer: -(t - 1)*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 145*z. Let c(l) = 21*l**2. What is u(c(v))?\nAnswer: 3045*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.168245 + 0.168. Round p to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/5 + 67*n**2\/5 - 593*n\/5 + 105.\nAnswer: (n - 7)*(n - 1)*(n + 75)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 121711616 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventy-seven fifths of a meter?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*-1*(-10)\/4. Let i = c - -8. Find the third derivative of -2*g**4 - i*g**2 - g**3 + g**3 wrt g.\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 667533687?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(8\/5)*h)\/h)\/((h**24*h*h)\/h))\/(h**4*h**(-4)) assuming h is positive.\nAnswer: h**(-117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 100*l**2 - 205*l - 789. What is z(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 331, 1255, 2795, 4951, 7723, 11111?\nAnswer: 15115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 74535002?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84474372 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -7554?\nAnswer: -7553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -14 - 0 - (-2466 + 2438)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 21875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4 - (-299)\/46. Let h(t) = -10*t**3 + 7*t - 7. Let p(m) = -9*m**3 + 6*m - 6. What is x*h(l) - 7*p(l)?\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(16399\/4099 + -12 + 8). Suppose -4*w + 2*y + 534 = -3568, -4*w + 3*y = -c. Calculate the highest common divisor of 13 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -3. Suppose 2*i = q*i. Suppose 5 = n - i. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/80 and -9\/112?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -17*r**4\/144 + 19*r**3\/72 - r**2\/12 - 2*r + 13. Factor w(a).\nAnswer: -(a - 1)*(17*a - 2)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 9:20 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 109479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*a - 23116 = 3874, o - 5398 = -4*a. Suppose -3*c + d + 3249 = 0, c - 6*c + o = 4*d. What are the prime factors of c?\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 - 4*m**2 - m**2)*(-4 - 1 + 3)*(11*m + 30*m - 2*m).\nAnswer: 156*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x**2*y**4 - 30*x**2*y - 4*x*y**4 + 2*x*y + 40*y**3 + 3*y**2 wrt y.\nAnswer: 48*x**2*y - 96*x*y + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 8005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 2*o - 2. Let c be q(4). Suppose f - 25 = c*f. Let m(k) = k**3 + 6*k**2 + 3*k + 2. What is m(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 336?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 82.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -2377*k**6\/15 - k**4\/12 - 61*k**3\/6 - 5*k**2 - 2*k + 1148. What is the third derivative of o(f) wrt f?\nAnswer: -114096*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - l = 156. Let p be -3*(-25)\/(-15)*-11. What is the remainder when l is divided by (p\/10 + -4)*18?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -265*d**2 + 88*d**2 + 59*d**2 + 52*d**2 + 10*d**2.\nAnswer: -56*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/5280 and -107\/448800.\nAnswer: 448800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -108*g - 20*g**4 + 21*g**3 - 36*g**3 + 123*g + 20*g**2.\nAnswer: -5*g*(g - 1)*(g + 1)*(4*g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d + 3*d + 4*d. Let u(t) be the third derivative of t**5\/12 + t**2 + 30. Give b(u(l)).\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + 17 + 4, -2*t - 3*j + 27 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-31)\/(-62))\/((-26)\/4)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 100424 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 146 = 390. What are the prime factors of a?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 13*m**2 + 23*m - 64. List the prime factors of r(-15).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2438790 and 975516.\nAnswer: 4877580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-700)\/(-3010)*(-1)\/(-5)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000149316287 rounded to seven decimal places?\nAnswer: -0.0000149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**5 + 0*o**3 + 0*o**3 + 0*o**5 + 4*o**5 + 0*o**5 + (-259*o**3 + 6644 - 6644)*(3*o**2 - 3*o**2 + o**2) - 2*o**5 + o**5 + 0*o**5.\nAnswer: -257*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18236 + 18231. What is the third biggest value in w, 3\/74, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*s - 105*s - 8 = 0. Let h be 0 + ((-46)\/(-50) - 1). What is the third smallest value in h, 3, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52356937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 197747 and 1551.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -183410762 divided by -9653198?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 8*n**2 + 5*n. Let v be y(-4). Suppose -4*m + 7 = -1, -2*j + v = 3*m. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 2*j + 12, -8*j + 22 = 4*z - 3*j. Let s(p) = p**2 - 10*p - 2. Give s(z).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 9*r - 70. Let x be c(5). Suppose -7*z = -2*z - 125. Solve -z = -5*g, x*a + 2*a - 2*g = -4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 + 21530*p**2 - 22960245*p - 467856900.\nAnswer: -5*(p - 2163)**2*(p + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1398776 divided by -3299?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/4 of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 200*b - 1. Let l(v) = 3*v. Determine p(l(g)).\nAnswer: 600*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4385100, 8770257, 13155414, 17540571?\n\"Answer: 4385157*b - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7568, 7569, 7570, 7571, 7572, 7573?\nAnswer: 7574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10119909 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 671751?\nAnswer: 3, 101, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2067*o - 6192. What is t(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 2*a**2 + 4*a - 3. Let k be p(2). Solve 13 = -k*b - 12 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 113054 (base 9) to base 3\nAnswer: 10110001211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 7*p**4 - 217751*p**3 - 591124*p**2 + 1057748*p - 248880 = 0.\nAnswer: -4, 2\/7, 1, 31110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 41 - 61. Let a = -90 - -92. Solve p = a*w + 11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12480\/105 + ((-1)\/7)\/(-1). Let f = 307 - j. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 334629*a - 6357953. Determine s(19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -78*a**2 - 30*a - 3. Calculate u(2).\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4530132 and 3020088.\nAnswer: 9060264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 2*b + 154. Determine q(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q = 3*y + 3, -6*q + 61 = 4*y + 155 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((5*(sqrt(228)*2 - sqrt(228)))\/sqrt(12) + (sqrt(19) + sqrt(114)\/(sqrt(42)\/sqrt(7)))*5).\nAnswer: -45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -w**2 - 6*w + 1. Let d be u(-4). Suppose -g + 0*g = -22. What is the greatest common factor of d and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*l - 50400 = -62*l. Is l a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 4*y**2 - 5*y - 2. Let f be i(-3). Suppose 0*m - 5*m = 15. What are the prime factors of 25 + f + m + 3?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 9*x**2 - 8*x - 10. Let r(w) = 43*w - 162. Let j be r(4). Give u(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 124 and 81964?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/7639, 0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001401 rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -19. Let o be (-1 - (-8)\/r) + 2. Solve 0 = -k + 3*k - 2, -5*z - o*k + 15 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.1 - 20.4. Let g = 23 + -67\/3. Which is the third biggest value? (a) g (b) -1\/11 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1708658 is divided by 370.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 8111 = 76492. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 2343?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -2. Let q(a) = 17*a**2 - 3*a + 17. Let r(s) = 9*s**2 - 2*s + 10. Let k(w) = -3*q(w) + 5*r(w). What is k(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49010 divided by 145?\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1509085272 a multiple of 1172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n**3 + n**2 + 120*n**3 + 0*n**2 - 3*n**2.\nAnswer: 111*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14162 != 14166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 762*i - 6 - 1527*i - 3 + 758*i.\nAnswer: -7*i - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2997 less than -0.045?\nAnswer: 2996.955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 3*w**2 + 2*w**2 + 0*w**2.\nAnswer: -w**2 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*z**(-2)\/z*z*z))*z*z)\/z**(-1\/2))**35\/(((((z*z\/(z*z**(1\/4)))\/z)\/z)\/z)\/z**(-1)*z**(-2\/19)*z**0) assuming z is positive.\nAnswer: z**(6753\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -6*q**2 - 1. Let v(b) = -12*b**2 - 2. Determine -6*v(i) + 11*w(i).\nAnswer: 6*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*s = 4*y - 154, 3*s + 3*y + 195 = 0. Let p = -75 - s. What are the prime factors of (-4 - p)\/(2\/(98 - 0))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t - 5*t**2 + 3*t**2 + 3*t**2 + (257*t - 257*t - 51*t**2)*(0 - 4 + 2).\nAnswer: 103*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*r = -5*m - 28, 4*r + 5*m - 28 = 0. Let w(q) = -3*q + 2*q - r*q - 3*q. Let h(c) = -2*c - c + c. Calculate h(w(x)).\nAnswer: 22*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21597 - 14243. Is c a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 154*h**2 - 112*h + 42. Let l be n(31). Suppose -6*y = 19242 - l. Is y 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 ltljltltttlllltjl. What is prob of picking 2 t?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-177)\/(-2) + (-6)\/12. Suppose 0 = 5*h + m - 13. Is 160\/6 + (-5)\/h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3435*g**2 - 145*g - 6 + 716*g**2 + 10*g + 3 wrt g?\nAnswer: -5438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d = 5*z + 24*d - 18, 13 = 3*z - d for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/544*9*(-3444)\/16646*(-232)\/(-36).\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 203910 to the power of 1\/2, to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 2082*p**2 + 29*p**3 + 0 - 4 + 2078*p**2 - 4*p**4 - 4157*p**2 in the form v*p**3 + y*p + d*p**4 + q*p**2 + n and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 404, -39, 3, 5.2 in descending order.\nAnswer: 404, 5.2, 3, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 341, -0.5, 0 in increasing order.\nAnswer: -2, -0.5, 0, 341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4810 (b) -19\/4 (c) 46 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -542 + 1990. List the prime factors of n.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26 and 20702.\nAnswer: 269126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5021 + 2*o**2 - 5021.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 36\/16*(-16)\/48. Let n = 329 - 329.3. Which is the nearest to 5? (a) w (b) -1 (c) n (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57)\/76*48\/63.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1632 is divided by 505.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p + 5. Let v(r) = r + 4. Let o(w) = 6*b(w) - 7*v(w). Let s(c) = -6*c + 6. Let g(q) = 4*o(q) - s(q). What is g(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 627 = 2313. Suppose -u = -31*n + 21*n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1\/2, 0.27 in decreasing order.\nAnswer: 7, 0.27, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1204 + 3288. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/56)\/(140\/71540).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2304*h - 3621 = 68924 + 21919 for h.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1529 - -1523) + 15 + (-3 - 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1025620284 to the nearest integer?\nAnswer: 32025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*b**2 + 41*b**3 - 25*b**2 + (5*b - b - 3*b + (-b - 2*b + 2*b)*(1 + 0 + 1))*(-b**2 - 6*b**2 + 4*b**2).\nAnswer: 44*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of k**9\/3780 - k**7\/630 + 5*k**4\/12 - 9*k. Let b(o) be the third derivative of q(o). Solve b(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - 10. Let g be w(-8). Suppose 0 = -67*y + 61*y - 144. What is the tens digit of -100*g*(-3)\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37576 + 68016. What are the prime factors of k?\nAnswer: 2, 5, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -88318, -98199, -108068, -117919, -127746, -137543?\n\"Answer: o**3 - 9888*o - 78431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 802487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 13*b**4\/6 + b**3 + 5*b**2 - b. Suppose -32*a + 12*a - 120 = 0. Let v be r(a). Round v to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 + 12535*h**2 - 12535*h**2.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n - 2. Let o(t) = -13*t + 4. Give 2*o(p) + 5*u(p).\nAnswer: 4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggg. Give prob of sequence gg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 134076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2759812*h - 5519614. Calculate t(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -15*h - 48. Give p(-7).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -510384*a*w**3*y**3 - 7*a*w**3 - a*w**2*y + 31602*a*y**2 + 27*w**2*y**3 wrt w.\nAnswer: -3062304*a*y**3 - 42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 68\/17 - 1*3. Let c(y) = 4 + y + 0 + 1. Let a be c(-6). Sort a, -3, j.\nAnswer: -3, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -32 + -3248861?\nAnswer: -3248893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 1394 = -2*q, -3*r - 36 = -5*q - 1415. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.5 - -13.499921. Round s to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 6*k + 793*y - 792*y - 10 = 0, -5*y + 13 = -22*k + 19*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(80\/(-4))*8\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*j - 44*j + 4*n - 13, -5*n - 10 = 5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1111 + 9*f**3 - 1105 + 2216 - f**3 + 17*f**3.\nAnswer: 25*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 5:28 PM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-9 - -6 - 1 - (2 - 10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (-54 - -19) - -9.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 3:26 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 81 + 6 + -13 - (-2 - (-2 + 7 + -12))\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 9. Let g be ((-9)\/(-2))\/(1 + (-9)\/6). Give t(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h*h\/h**12*h*h)\/h)**21\/((h**(10\/7)*h)\/((h\/h**(2\/7))\/h)) assuming h is positive.\nAnswer: h**(-1195\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 2)*(15*h**3 + 20 - 20) + (0*h + h + h)*(3*h + 2*h**2 - 3*h))*(-5*h**2 + h**2 + 5*h**2) - 5*h**2 + 5*h**2 - 2*h**5.\nAnswer: 17*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 9*i - 9. Let b be h(-7). Suppose b*g = 10 + 20. Solve 5 = 5*m, -5*m + 7 = -4*f - g for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*s - 46, 3*s - 5*n = 32 + 18. Suppose 0 = s*f - 8*f - 120. Calculate the greatest common divisor of 45 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -279 (base 12) to base 13\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 9*y**3 + y - 5. Let x(z) = 13*z**3 + 2*z - 8. Give -7*a(l) + 5*x(l).\nAnswer: 2*l**3 + 3*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxtt when four letters picked without replacement from {j: 8, t: 2, x: 4, m: 2}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 3*q, 5*c + 2 = 3*q + 12. Let u(g) = 7*g**2 - 4*g - c - g - 9*g**2. Let m(l) = -4 - 3*l**2 - 4*l - 3*l**2 + 4*l**2. Give -5*m(w) + 4*u(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73633.\nAnswer: 7, 67, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, d: 4, c: 4}. Give prob of sequence dzcz.\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*p - 147 = 487 + 198 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 + -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 430105008*n**2 - 944436021 wrt n?\nAnswer: 860210016*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**16\/b)**(-2\/3)*(b**(1\/5))**(-2\/67) assuming b is positive.\nAnswer: b**(-10726\/1005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7443 - -7447. Is y equal to -1071?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 55755551.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d + 1. Let j be 6\/4 + -2 + 357\/(-6). Let q be 15*((-5)\/j)\/(1\/4). Determine o(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 103*y**4\/4 - 583*y**2\/2 + 145. What is the second derivative of u(h) wrt h?\nAnswer: 618*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(24\/7)*n)\/((n\/(n\/n**8))\/n))**(-32) assuming n is positive.\nAnswer: n**(1888\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 2*r + 23 - 17, 0 = 4*m + 4*r - 8. Find the third derivative of -m - 2*v**5 - 16*v**4 - 2*v**5 + 0 + 36*v**2 + 10*v**4 wrt v.\nAnswer: -240*v**2 - 144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43.3 - 43. Which is the fourth biggest value? (a) m (b) -4 (c) -0.4 (d) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*k = 579, 0 = -p + k + 236 - 33. Calculate the highest common factor of 440 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015798 to three decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.0071285 rounded to two dps?\nAnswer: -9.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34438190*q**2 + 54666046*q wrt q?\nAnswer: -68876380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 5838801\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 386750 and 910.\nAnswer: 386750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -20002121011022 (base 3) in base 14?\nAnswer: -60497a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**1*n)**12*(n**0)**33*((n**4\/n)\/(n**(-2\/7)\/n*n))\/(n**0)**(-5\/7) assuming n is positive.\nAnswer: n**(275\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 12 = 2*u, 46*u = 49*u + 5*j - 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -8*j**3 + 15*j**2 + 152*j - 15. What is the smallest common multiple of t(-7) and 40?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21340368, 42680714, 64021040, 85361346, 106701632, 128041898?\nAnswer: 149382144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 at least as big as -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (8 - (-10 + 13 - -6)) - -9?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 193, 1426, 4781, 11320, 22105, 38198?\nAnswer: 60661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*g - 217*g + 2*r + 42 = 0, 0 = 4*g - 5*r + 27 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 34*a + 174. Let v be c(-5). Solve 130 = v*d + 150 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360\/8*(1\/(-12))\/((-3)\/8).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65875891?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**3\/2 + 729*s**2 + 198405*s\/2 - 514050 = 0. Calculate s.\nAnswer: -115, 5, 596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 e when four letters picked without replacement from wewfeewbew.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 2. Let j(p) be the second derivative of 0 + 0*p**3 - 1\/6*p**4 - 3\/2*p**2 - 11*p. What is -2*j(h) - 3*x(h)?\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10639193?\nAnswer: 61, 174413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231 - 25 - 6*k**2 - 3*k**2 + 3*k**2.\nAnswer: -6*k**2 + 206","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.041? (a) -41\/12 (b) 36\/11 (c) 0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 21) + ((-14 - -9) + 23 - 20).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1425 = -9*b - 1470 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(6 - (-29)\/(-5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133938 is divided by 44631.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -90 and 178828.\nAnswer: -16094520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -205 - 5430?\nAnswer: -5635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.024 + 0.06075933.\nAnswer: 0.03675933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 512 and 9440?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-19))\/((-45)\/(-855))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9298.2*-0.1\nAnswer: -929.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 15*y**3 + y**2 - 1. Determine a(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c**2 + c + 7. Let x be y(-3). Let z = -8 + 15. What is the remainder when z is divided by ((-6)\/(-15))\/(4\/x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 3 (b) -308\/5961 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -853 - -852.6. Which is the biggest value? (a) u (b) 2 (c) 2\/5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**6\/24 + 2*g**5\/15 - 5*g**3\/6 - 2*g**2. Let p(k) = 0*k**2 - 16 + 18 + 2*k**3 + 2*k**2 - 5*k**2. Calculate 3*m(w) + 8*p(w).\nAnswer: w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -16628 divided by 16628\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f*f**(-4\/5))\/f)\/f*f\/f**(2\/15)*((f*f**(2\/3))\/f*f)**(-7) assuming f is positive.\nAnswer: f**(-53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7315\/59 + -125. Let b = m - -239\/177. Factor -p**2 + 1\/3*p**4 + 1\/3*p - b*p**3 + 2\/3.\nAnswer: (p - 2)*(p - 1)*(p + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*(10\/(-4) + 3). Let l be y + 0 - -4 - (-69)\/(-33). Let u = 13 + -12. Which is bigger: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 22. Let x be (-230)\/75 - j\/(-5). Which is the biggest value? (a) 5 (b) 1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in 0.4, -0.1, -2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 148, 220?\nAnswer: 292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27*(-5)\/(-630)*-4?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 419*p - 1705932 + 1675764 = 0 for p.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1944500*g*h**3 + 152*g + 6876 wrt h?\nAnswer: -5833500*g*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 66081946 to the power of 1\/3, to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (9 + -6 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z - 2. Let d be h(-4). Let r be ((-8)\/d)\/((-4)\/10). Solve 0 = -r*f + f - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131, -262, -393?\nAnswer: -524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 223.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 53 = -8*z. Is (-36413)\/(-52) - (-6)\/z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*i + 21 = 0, 5*i - 9 = 2*i. Let o be (-2039999)\/t + 7\/28. What is o rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 + 11011101101000?\nAnswer: 11011101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 852799.\nAnswer: -6\/852799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, t: 8}. Give prob of sequence tggt.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 + 4*a**2 + 5*a - 3. Let y(c) = -c**3 - c**2 + c + 1. Let v(p) = -3*p**2 - 2*p + 3. Let j(q) = -2*v(q) + 2*y(q). Calculate -5*j(u) + 6*n(u).\nAnswer: -2*u**3 + 4*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 + 20.9. Let x = -0.2 + 9.2. What is the biggest value in -0.2, x, 0.1, l?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133 (base 6) to base 15\nAnswer: 3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -r - 2*r**4 - 42*r**3 + 1 + 40*r**3 + 3*r**4 + 0 in the form u*r**2 + d*r**4 + w + c*r + y*r**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 6*d + 3. Let x(p) = 4*p - 8*p - 8*p - 7 + 2. Let j(f) = 5*l(f) + 3*x(f). Let i(y) = -9*y. Give j(i(w)).\nAnswer: 54*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 255, 5.\nAnswer: -1, 5, 255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10 - 2 - 5)*(-8)\/(-6). Solve -c*i = 4*a + 32, 43 - 11 = -3*i - 5*a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (36\/(-8))\/((-1)\/26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74470 to the power of 1\/2, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 651 a factor of 557904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccbbybycybyybbbb. What is prob of picking 2 y and 2 c?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (810\/(-540))\/((-4)\/((-8)\/(-3))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - u - 5, -4*u + 5 = -p + u. Let g(i) = i**3 + 4*i**2 - 6*i. What is the remainder when 8 is divided by g(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*b - 4*b + 0*b)*(-1 + 9 - 1 + 0 + 2 - 5 + (4 - 1 - 4)*(0 - 2 + 0)).\nAnswer: -60*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 173)*(-34 - -33). Is 173 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1182)\/(-33) - 14\/(-77). Let y(l) = l**3 - 38*l**2 + 70*l + 74. Let s be y(j). Solve -t - s = -1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5376882 or -37638180\/7?\nAnswer: -37638180\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-7\/3)\/(n\/(n**44\/n*n)*n)*(n**(4\/3)\/n)\/((n*n**(-1\/17)*n*n)\/n) assuming n is positive.\nAnswer: n**(647\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*u = 2*s - 2, 5*u = -2*s + 19. Suppose -g - 9 = s*i, i + 2*g + 16 - 4 = 0. Is 214\/4 - (-1)\/i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10578, 10464, 10158, 9564, 8586?\nAnswer: 7128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 208 = -4*h + 21, -4*s = h + 68. Let c be 6\/2 + h\/14. Let b = -3 + 6. What is the second biggest value in 4, b, c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - -30. Is 10\/h + 1647\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t - t + 3*t)*(-41 - 127 + 39) - 9*t - 4*t + 0*t.\nAnswer: 245*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4728 = -18*m + 10*m. Let l = 591 + m. Solve -4*z + 15 = 3, l = 3*u - 4*z + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 838469*-0.07.\nAnswer: -58692.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 828 = -h. Let j be (-4)\/16 + h\/12. Let r be j\/(-85) + 72\/10. Solve -5*x = -18 - r for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 1. Suppose -2*o = -3*g - 9, -2*o + 2 = 4*g - 0*g. Let u be k(o). Suppose -10*y + u*y = -3832. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19712 divided by -22\nAnswer: -896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h - 7*h - 202*h**3 + 5*h - 3*h + 394*h**3 - 190*h**3.\nAnswer: 2*h**3 - 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8027.11 + -8029. Which is the third biggest value? (a) 1\/2 (b) x (c) 0.3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -27, 2 in increasing order.\nAnswer: -27, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -5*n. Let w = n - 1. Let p = 8 + w. Solve -p = s - 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3296*w + 91644 - 9244 = 0 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of w**3\/6 - 109*w - 5. Let r(p) = -21 + 190*p**2 + 69*p**2 + 21. Calculate o(r(k)).\nAnswer: 259*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -804*m - 33069. Give d(-41).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -0.025 (c) 1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1503 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 10*c = 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0\/2 - 1*-93 is divided by 2 + 19 + (6 - 1) + 6?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 9. Suppose 0 = -f*a - 4*t + 1853, -3*t - 1116 = -3*a - 4*t. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 4*o - 1. Let v be f(0). Let q be (v - -1) + (-8 - -13). Sort q, 20, -3 in increasing order.\nAnswer: -3, q, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32.9985 + 33. What is w rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*a = -0*a - 16, -3*a = 3*z - 9. Let t = z - -9. What is the third derivative of t*k**5 + 7*k**2 - 6*k**2 + 6*k**2 wrt k?\nAnswer: 480*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -6. Let l = -2873 + 2876. Solve 5*w - s*q = -10, 2*q = 3*w - 2*q + l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -64*a**3 + a**2 + 2*a. What are the prime factors of k(-1)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -378, -23, -2 in decreasing order.\nAnswer: 4, 1, -2, -23, -378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 3*s**5 + 3*s**4 - 3096*s**3 - 15384*s**2 - 24528*s - 12240 = 0.\nAnswer: -30, -2, -1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 761153724?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -8. Suppose -14*l + 9 = -17*l. Which is the second biggest value? (a) l (b) -5\/6 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23.9 - 24. What is the nearest to x in 5, -3, 1\/13?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-21))\/(5780\/9248*(-2)\/15)?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100\/40*(-8)\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 25*x - 41. Determine g(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 78.3246515?\nAnswer: -78.3246515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 5, -214 in ascending order.\nAnswer: -214, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/20 of a kilometer?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -148 + 1334\/9. Let h = -3 - -7. Suppose 13 = -3*x - 5*b, 2*x = -2*x + h*b + 4. Is c less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -28, -3\/2, -0.4, -5 in ascending order.\nAnswer: -28, -5, -3\/2, -0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5278841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + sqrt(700) - sqrt(84)\/(sqrt(36)\/sqrt(3)))*6 + 0)**2*-3.\nAnswer: -245376 + 7776*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 17, 2, -4141 in descending order.\nAnswer: 17, 2, 1, -4141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 3*h**4\/2 + 15675*h**3 + 76765539*h**2\/2 - 13418677800*h + 1099247812704 = 0.\nAnswer: -5384, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -19*t**2 + 351*t - 95. Give k(20).\nAnswer: -675","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in years?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*d = 224. Let m be ((d\/(-6))\/(-4))\/((-10)\/15). Solve m*k + k = -3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**36)**(3\/26)*(((m\/m**(-22))\/m)\/m)\/m*(m**(-26\/7)\/m)\/m assuming m is positive.\nAnswer: m**(1678\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -237, -0.2, 2, -2, 1\/6, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1066 by 30134.\nAnswer: 41\/1159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8*1*(66*18\/(-216))\/1?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssswssfwwwswwswwwws. Give prob of picking 1 s and 1 f.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-36)\/((-308)\/(-52) - 6).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 3774.84?\nAnswer: -3777.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 6*k**4 - 8*k**3 + 2*k. Let n(y) = 7*y**4 - 9*y**3 - y**2 + 3*y. Let a(u) = -3*d(u) + 2*n(u). Factor a(z).\nAnswer: -2*z**2*(z - 1)*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 35 (c) -2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -r**6\/30 + r**5\/20 - r**4\/24 + 5*r**2 + 271*r. What is g(2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 r when three letters picked without replacement from {x: 4, r: 1, e: 5}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -62e8d (base 15) in base 14?\nAnswer: -824d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 161079?\nAnswer: 483237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -180\/581 - -2\/83. Let q = -44 - -43. Which is the fourth biggest value? (a) q (b) s (c) -3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19530377.2 rounded to the nearest 100000?\nAnswer: 19500000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(112) - (sqrt(112) + sqrt(112) + 0))*3 + 5)**2 + -3*(sqrt(112) + sqrt(112)*1 + 3 + sqrt(112) + -1*sqrt(112)*1)**2.\nAnswer: -264*sqrt(7) - 337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 80193376, 160386722, 240580066, 320773408, 400966748, 481160086?\n\"Answer: -g**2 + 80193349*g + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*l**4 - 3*l**4 - 4*l**4 + 4075*l**2 + 13*l**4 + 0*l**4 + 25*l + 102 wrt l.\nAnswer: 24*l**2 + 8150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f - 5*s = -16*f + 31*f + 143, -2*f - 54 = 17*s - 15*s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1542 - -1555. What is the highest common divisor of 611 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100001111 - 10?\nAnswer: -11100010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 10*c = 265. List the prime factors of c.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -153, -111, -83, -75, -93?\n\"Answer: -w**3 - w**2 + 52*w - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p\/p**4)\/p)\/p)\/p**6)**(-5\/11))**(-31) assuming p is positive.\nAnswer: p**(-155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13342 is divided by 152 - ((-54)\/(-6) + -19)\/(-2 - -4).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*d**2*j - 2*d*j + 1040*d + 9*j + 147 with respect to d.\nAnswer: -8*d*j - 2*j + 1040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7749113 + 0.775. Round s to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*c**3 + 1)*(7*c**2 + 5 - 25*c**2 + 16*c**2 + c).\nAnswer: 6*c**5 - 3*c**4 - 15*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 4*p - 1 = 35, 2*p = 5*t - 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25401*h**4 - 33692*h**4 - 144*h**3 - 45237*h**4 - 101*h**3 + 245*h**3 + 0*h**3 + 2*h**4 + 0*h**3 + (h + 0*h - 3*h)*(2*h**3 + 2*h**2 - 2*h**2).\nAnswer: -104332*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 - 31932*j**2 + 59775840*j + 16013710800.\nAnswer: 4*(j - 4110)**2*(j + 237)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 12*d - 30. Let b be z(-17). Suppose 0 = o - 267 + b. List the prime factors of o.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -94 + 99. Suppose y*t + 6186000 = 11*t. Round t to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzgz when four letters picked without replacement from {z: 4, o: 6, g: 2}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -19561 and -97812\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 19*n**3\/2 + 21*n**2 - 16*n - 4. Let x(g) be the first derivative of w(g). What is the derivative of x(q) wrt q?\nAnswer: 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484*l - 1319 + 2795 = -2880 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -557 (base 13) in base 12?\nAnswer: -645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31)\/(155\/240)*(-36)\/64.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uixnnjnjnu. What is prob of sequence nix?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-18))\/((-1)\/((-9)\/(-6)))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-36)*3 - (-1)\/6. Suppose h*l = -7*l + 157969. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 2:17 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -67*j**3 - 71 + 71 + (-1 + 1 - 2*j**2)*(-j - 2*j + 5*j) + 4 + 2*j**3 - 4.\nAnswer: -69*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 546, 2029, 4512, 8007, 12526, 18081, 24684, 32347?\nAnswer: 41082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 310, 309, 308?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2566 + 514 = -12*h. Let c be ((-2)\/(-3))\/(38\/h). Solve i + c*i + 13 = -5*w, 2*i = w - 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 351120300 divided by 12.\nAnswer: 29260025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -116 + 117. Let t(y) = -y**3 + y**2 - 1. Give t(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1115, -6, -2, 3, -3, 1.\nAnswer: -6, -3, -2, 1, 3, 1115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 28.3123.\nAnswer: -141.5615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/10 and -97\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 28214 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5128.\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-65772)\/305370)\/(7\/20).\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 2:40 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**7\/2520 + d**6\/144 - d**5\/120 + 55*d**4\/12 + 32*d. Let f(v) be the third derivative of j(v). Determine f(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1950 divided by -2.\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 4*y**3 - 33272476*y**2 + 69191053789420*y + 207573460820652 = 0.\nAnswer: -3, 4159061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 18*m**2 - 43*m + 14. Suppose 3*i - 2 + 23 = 0. Let n = i + 27. What is the smallest common multiple of n and p(15)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6951, -6948, -6945, -6942, -6939, -6936?\n\"Answer: 3*j - 6954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 62?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 - 1.42. Let w = j + 0.77. What is the nearest to -0.1 in -3, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgpp when four letters picked without replacement from ktdggspstspptpgsst?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -158*w + 163*w + 5*s + 80, 0 = -w - 3*s + 4 - 56 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1774621, 1774614, 1774603, 1774588, 1774569, 1774546?\n\"Answer: -2*j**2 - j + 1774624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**3 + 2*z - 1. Let q be d(1). Let h(g) = 6*g**2 - g. Let c be h(1). Suppose -2*i = -3 - c. Solve -q*x - i = 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t + 50. Let k be w(-11). Let l = k - 32. What is the hundreds digit of (-35)\/(-10)*(l\/(-1) - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -86 + 80. Let j(g) be the third derivative of -7\/6*g**3 + 0*g - 2*g**2 + 0 + 1\/10*g**5 + 1\/120*g**6 + 0*g**4. Calculate j(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 493 + 5*j**2 - 493.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 19 - 5 - 23?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -30 + -968b0b?\nAnswer: -968b3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 + 448*h**4 + 21*h**3 - 15*h**3 + 36 + 2*h - 6*h**3 - 426*h**4 to x*h**3 + d*h**4 + p*h + q + b*h**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -153, -308, -463, -618?\n\"Answer: -155*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -4, 26930, 3 in decreasing order.\nAnswer: 26930, 3, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 4:52 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 6) in base 2?\nAnswer: 11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -324*c**2 + 3883*c + 52. Give m(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30651642 divided by 619.\nAnswer: 49518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -92751 from 0.14561.\nAnswer: 92751.14561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k**2 + 65*k + 244. Determine a(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 54.55467 kilometers?\nAnswer: 54554.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/5648 and 71\/4800.\nAnswer: 1694400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3231478 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18136, -71837, -161106, -285943, -446348, -642321?\n\"Answer: -17784*x**2 - 349*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*u**3 - 269*u**3 + 131*u**3 + 70*u**3.\nAnswer: 15*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34219 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3501 - 28073\/8. What is the common denominator of -25\/6 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 56, 148, 302, 524, 820?\n\"Answer: n**3 + 25*n**2 + 10*n + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -235 + 406. Let c = 44 - -128. Which is greater: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + h**2 + h + 72. Is 24 a factor of a(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5068820 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 - (-10 + 16 - 7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*r**2 + 1778\/3*r + 1580642\/3.\nAnswer: (r + 1778)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 705*o + 705*o - 2158*o + 752*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3269, -3147, -3025, -2903, -2781?\nAnswer: -2659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(10\/20)*(-2)\/(-10). Let l = 2.8 + -3.12. Let i = 2.68 - l. What is the nearest to 0.1 in i, o, -1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111022221112110 (base 3) in base 8?\nAnswer: -33015414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*d = -n + 75*d + 27, 5*n - 45 = 2*d for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13992103 to the power of 1\/2, to the nearest integer?\nAnswer: 3741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23271007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 263813787 to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -528 and -0.2.\nAnswer: -528.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2*((-54)\/(-30))\/(-9))\/(12\/(-1))\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2112212222 + -1?\nAnswer: 2112212221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*s + 2 - 2*s**3 + 6*s - 2*s**2 - 3*s - 4*s**4 - 5*s to the form p*s**4 + z + j*s**3 + a*s + l*s**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -2\/7 (c) -881\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 1 = z, 2 = f + 3*f + 2*z. Suppose -7*c = -2*c + 25. Let a be ((-6)\/c)\/((-12)\/(-40)). Solve -a*w + 3*y = 14, -y = -f + 2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3900 divided by -10?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2\/5*h**5 + 1300*h**3 + 1952*h**2 + 1302*h + 324*h**4 + 1628\/5 = 0.\nAnswer: -1, 814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413262037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by (-3)\/(2 + (-21)\/9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/25)\/((-363)\/(-605)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**2 - 13*g - 5. Let s(h) = -h**2 - 21*h + 156. Let p be s(-27). Give w(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -847da (base 16) in base 12?\nAnswer: -222076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1680 and 224.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12479 - 12474. Put -4, p, -26, 33 in increasing order.\nAnswer: -26, -4, p, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.049 + 0.821. Let k = -0.13 - b. Which is smaller: -0.5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1)**(7\/12))**41 assuming l is positive.\nAnswer: l**(287\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -m + 5*n, -4*m + 20 = -0*m + 5*n. Let k(l) = -4*l**3 - 3*l**2 - 3. Let h(r) = 7*r**3 + 5*r**2 + 5. Determine m*k(p) + 3*h(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -583cb3?\nAnswer: -583cac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 498 + -491. Differentiate -99 - 6*h**3 - 12*h**2 + c*h**3 + 2*h**3 with respect to h.\nAnswer: 9*h**2 - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4592456887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 98 (b) -2\/7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*r = -4*c + 68, -3*c + 2*r + 46 = 0. Calculate the remainder when c is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-12)\/(-48))\/(1\/(-874))*-4. Let k = h - -204. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 85*k - 3 - 2.\nAnswer: -85*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 6*h - 2*h.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 2, -50, -174, -394, -734?\nAnswer: -1218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3 = -43. Let t = -38 + p. Find s, given that -2\/3 + 1\/3*s + 1\/3*s**t = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 204515*y + 1431602. What is q(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -7. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -121, -925, -2, -1 in decreasing order.\nAnswer: -1, -2, -121, -925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 + i**2 - i**2)*((1 + 0 + 1)*(-i**2 - i**2 + 4*i**2) - 63*i**2 - 41*i**2 + 88*i**2 + 2*i) + i**5 - 2*i**5 + 2*i**5.\nAnswer: 13*i**5 - 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - -154693681?\nAnswer: 154693688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1510672650 to the nearest integer?\nAnswer: 38867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110011001000110001 + -10001110?\nAnswer: 110110011000110100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-26)\/6)\/(3\/162). Let v be q\/(-45) + 1\/(-5). Suppose -y - 2*y = 2*k - 919985, y = v*k - 2300005. What is k rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(8\/9)*q*q**(-1)*q assuming q is positive.\nAnswer: q**(17\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53651136 to the nearest integer?\nAnswer: 7325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 0. Let d(a) be the first derivative of a**4\/24 + 3*a**3\/2 - 59*a**2 - 24. Let x(z) be the second derivative of d(z). Calculate x(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*u + 290*u - 39240 = 27*u. Suppose 3*r - 21 = -4*n, 9 = -r + 2*r + 2*n. Suppose r*p - 54 + 9 = 0. Calculate the greatest common factor of u and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 28853.6ml?\nAnswer: 28.8536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**2 + 9*w + 2. Calculate the least common multiple of g(4) and 33 + 2*9\/(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10\/52907 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -17*l**3 + 57*l**2 + 335*l - 1. Does 86 divide m(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21651 - 21648. Suppose -3*f + y = -8*f + 30, f + 2*y = 15. Suppose 2*i = l*i - f*i. Solve i = -7*t + 4*t - 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, i: 4, c: 4, r: 1, o: 8}. What is prob of picking 1 r and 2 c?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.034, -2, 0.4, 2, -0.4, -597?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 5:13 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 8*c - 7)*(-5 + 3*c + 5) + (-5 + 2*c + 5)*(-c + 0*c + 3*c).\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3))**(-8)*(y\/(y*y\/(y*y*y*y**(-1\/2))*y))**(-8) assuming y is positive.\nAnswer: y**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-39)\/13*(1 - 2). Let c be (-2 - -3) + -28 + i. Does 8 divide ((-36)\/27)\/(2\/c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -22*r. Let f(l) = -221*l + 6. Let n(o) = -1105*o + 33. Let h(g) = 11*f(g) - 2*n(g). What is 5*h(a) - 51*v(a)?\nAnswer: 17*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 18, 69, 3, -4, 11, 24 in ascending order.\nAnswer: -5, -4, 3, 11, 18, 24, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -22692, -90768, -204226, -363066?\n\"Answer: -22691*z**2 - 3*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -101*t + 243*t - 110*t - 41*t - 75*t in the form i + f*t and give f.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + 0 + sqrt(2) + -5 + 4 + sqrt(8)\/sqrt(4).\nAnswer: -1 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45339*d = 45350*d - 2337940000. What is d rounded to the nearest one million?\nAnswer: 213000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -898 - -3085. Does 9 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -3*n**5\/20 - n**4\/4 - n**3\/12 - 16. Factor t(g).\nAnswer: -g**2*(g + 1)*(3*g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 9433*d - 2358.\nAnswer: -(d + 2358)*(4*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15\/6*-4)\/(-2). Suppose 5*t = -v*a + 25, -t + 2*t - 5*a = -13. Let k(d) = -d**t - 2*d - d**3 - 2 - 1 + 5*d**2. Determine k(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -5. Suppose m - 18 = j*m. Let k be 1 + -1*3 - m. Solve 4*b + k = 4*l, 0 = l + 2*b + 1 + 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17.9 in -5, -64, 33, 2, -1, -7?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0 - 4 = -3*w, -4*w = -2*s - 2. Let k be (-493)\/(-136) + w\/8. Solve -x + k*p - 9 = 2*x, 2*x + 5*p = -6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/700*(-2790)\/837.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a factor of 125989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 3:49 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*k = -7571 + 7883 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*j + 0)*(0 + 1 - 4)*(4 + 0 - 2).\nAnswer: 18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/9)\/(-4)*(-1)\/12.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 126, -2\/11, 3, 7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t*(((t*t*t*t**19)\/t)\/t*t)\/t))\/((t**(-1\/2)\/t*t)\/t))**(-15) assuming t is positive.\nAnswer: t**(525\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(f*f**(-1\/6))*f)\/f)\/f)\/(f*f\/f**(-13))*f**(2\/5)\/(f\/f**(-3)*f*f*f))**(-12\/7) assuming f is positive.\nAnswer: f**(1346\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 279\/(-630) + (27\/6)\/9. Let b(k) be the first derivative of h*k**5 + 0*k**4 - 4\/21*k**3 - 2 + 0*k**2 + 2\/7*k. Factor b(y).\nAnswer: 2*(y - 1)**2*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -281\/5 + 5059\/90. Let f(z) be the second derivative of -1\/15*z**5 + 1\/2*z**2 - 1\/18*z**4 + 7*z + 2\/9*z**3 + 0 - x*z**6. Factor f(v).\nAnswer: -(v - 1)*(v + 1)**2*(v + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -294.53 to the nearest ten.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166 + 159 + 1539*a + 164 - 676 + 139 - 1542*a.\nAnswer: -3*a - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -21?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ylvp when four letters picked without replacement from yyylvlvpylpvy?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*y**5 - 32*y**4 - 617*y wrt y?\nAnswer: -120*y**3 - 384*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 1 + 1 = 0, -3*s - 5*i + 1336 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97902694 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.024 - -77.976. Let p = 83 - y. What is the smallest value in 0.5, 1\/12, p?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 171503?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -29*c**2 + 1188*c - 933. Calculate m(40).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 12*x. Let w be g(-10). Let q be (4\/(-10))\/(4\/w). Suppose 0 = q*u - 0*u + d - 9, -u = 5*d. Solve 0 = -i + 3*h - 18, i - 4*h = -u*h + 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*m**3 + 29*m**3 - 45*m**3 + 20*m**3 - 2*m**3.\nAnswer: 68*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126 - -122)*((-4)\/(75648\/(-12656)) + (-2)\/3)?\nAnswer: -2\/197","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -15. Let o = -6 - -10. Let d be 3\/(2*(-3)\/o). Which is the closest to q? (a) 3 (b) d (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 564\/(-28) + 200\/(-315) + 42\/(-189).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -755040 smaller than -755049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**5\/60 - 7*b**4\/8 - 7*b**3\/2 + 3*b**2 + 34. Calculate p(-20).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -86. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25023\/22 - 1137. Let w be (-3)\/(4\/592*3). Let a = 283\/2 + w. Find the common denominator of a and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38757311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 15 = 0, -4*z + 0*v + 465 = v. Suppose z - 111 = 4*g. Which is smaller: 3\/46 or g?\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 27 = 2*i. Let h(k) = -4*k**3 + 2*k**2 + 5*k - 6. Let s(u) = -11*u**3 + 6*u**2 + 14*u - 17. Determine i*h(r) + 6*s(r).\nAnswer: 2*r**3 + 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 207162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(12)\/sqrt(2)) + 0)**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(-377) + ((-1813)\/203)\/1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -60*m**2 - 16*m + 12.\nAnswer: -4*(3*m - 1)*(5*m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - p. Let z = 39 - 36. Let k be u(z). Differentiate k - 7 - 18 + 170*w - 152*w wrt w.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 3, -2*c - 30 = f - 26 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2. Let b = -74 + 84. Let w(l) = -b + 5 + 1 + 5. Let m(y) = 2*v(y) + 5*w(y). Let k(p) = -2*p - 10. Calculate -k(r) - 12*m(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2024 + 343344?\nAnswer: 341320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -948.29696621734 + 0.1\nAnswer: -948.19696621734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-8)\/(-9792))\/((143\/78)\/(-11)*3).\nAnswer: -1\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + l - 13679 = 0, 5*k - 60*l - 22770 = -56*l. What are the prime factors of k?\nAnswer: 2, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-1)*(-42)\/(-84). Let j be n\/(-2)*(53 + -43). Is j greater than or equal to -258\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/10*15\/(-2). Let g = -42750 - -42746. What is the nearest to g in d, 4, 5\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/10 and -16\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58.6 - 7.6. Let x = 0.0181 - 53.0181. Let o = m + x. What is the closest to 2 in o, -1\/6, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1634 - -1628. Let n = -99408 + 23360771\/235. Let x = 3\/47 + n. Put x, o, 2\/3 in ascending order.\nAnswer: o, x, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2087 + 2091. Let w(f) be the second derivative of -6*f + 0 + 2\/21*f**7 + 4\/3*f**k - 4\/15*f**6 - 4*f**2 - 2\/5*f**5 + 2\/3*f**3. Solve w(m) = 0 for m.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 1833*j**2 - 2*j. Let u be s(-6). Round u to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nklkollolk. Give prob of sequence kl.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -42\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -836 by 76.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 10*r**2 - 5*r - 6. Let j be q(-8). Let m = j - -176. Is 20 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -187*i - 10 + 89*i - 925*i**2 + 107*i wrt i.\nAnswer: -1850","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o. Let c(i) = i + 1. Let k(u) = 12*u + 11. Let d(b) = 22*c(b) - 2*k(b). Give x(d(l)).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3325*k - 287771 - 161741 = -1481*k + 3042*k for k.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -r**4\/4 + 2*r**3\/3 + r**2 - 63. Suppose -5*o - 4*q = -14, o - 5*q - 5 = -4*o. Let j be v(o). Solve -j*w - 23 = -7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = z. Suppose 14 = 2*g - 2*k, 0*k + 29 = 5*g - 2*k. Solve -g*c - 15 = 0, z*n + 0 = 5*c + 7 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 5*y**2 - 3*y + 4. Let p be -1 - (5 - (-3 + 4)). What is the units digit of w(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29217 minus -0.09?\nAnswer: 29217.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}