diff --git "a/data/dm_maths/full_data/1590_11255.jsonl" "b/data/dm_maths/full_data/1590_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1590_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Factor 2*z**2 - 36*z - 288.\nAnswer: 2*(z - 24)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 15 - 64 - 57)*(-10*m**2 + 19*m**2 - 4*m**2).\nAnswer: -490*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(2\/7))\/v*v)**3\/(v**(-8)*v**(-6)))**(-3\/22) assuming v is positive.\nAnswer: v**(-375\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 21\/2*s**3 - 3\/4*s**5 + 0*s**2 - 39\/4*s**4 + 0 = 0. Calculate s.\nAnswer: -14, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - g. Let q be z(-1). Suppose 0*m - 4*i + 26 = q*m, -12 = -3*i. Let d(j) = -5*j**2 + 2*j. Let c(o) = -4*o**2 + 2*o. What is m*d(k) - 6*c(k)?\nAnswer: -k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 162?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-3 + sqrt(95)\/sqrt(5))*-5 - sqrt(209)\/(sqrt(132)\/sqrt(300))).\nAnswer: -15 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 57084*a - 342396.\nAnswer: -3*(a + 6)*(a + 19022)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pypgxsg. What is prob of sequence gy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1136)\/510)\/(24\/(-20)). Let r = 24\/17 - y. Find the common denominator of 178\/72 + 3\/(-12) and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4 = 2*j, -w = -3*w. Let m be (-272)\/(-64) - (1 - (-3)\/(-4)). Let l(k) = -k + m*k - 262 + 265. Give l(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -3. Let j(i) = -i**2 + 5*i - 3. Let p(g) = 3*g**2 - 10*g + 6. Let d(m) = -5*j(m) - 2*p(m). What is d(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 174610 (base 9) to base 8\nAnswer: 323543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36808778*v**4 - 5*v**2 + 597*v + 711 wrt v.\nAnswer: -883410672*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -16218.7232 rounded to the nearest integer?\nAnswer: -16219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 138*i + 1657. Let f be y(-12). Solve 0 = 188*w - 187*w + v - 8, 3*w = 2*v - f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(560) + (sqrt(4235)*6 + sqrt(4235) - sqrt(4235) - sqrt(35) - sqrt(35)))\/(1*sqrt(60)\/(4*sqrt(60)\/sqrt(5))).\nAnswer: 352*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**3 - 6*b**2 + 9*b**2 - 2*b**2 + 9*b**4 as w*b + m + o*b**2 + v*b**3 + s*b**4 and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - n**2 - n. Let o(y) = 3*y**3 - 1. Let p be o(1). Let f = p - 1. Let k be ((-64)\/(-192))\/(2\/6). Let s(q) = q**2 + q. Calculate f*u(b) + k*s(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 4467980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 = 1684*z - 1680*z - 4*j, -9*j - 10 = 3*z + 50 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -941 - -941.4. Let k be (9\/21)\/(-3)*3. Let x = 0.5 - -4.5. Which is the second biggest value? (a) x (b) s (c) -4 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3275)\/(6087\/(-304350))\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 + -47. Let d be 1*(h + -8)\/((-2)\/4). Calculate the highest common factor of d and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 bigger than -1388624?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*((-y - y + 3*y)*(2 - 3 + 0) + 2*y - 3*y + 0*y + 2*y + y - 2*y)*(2 + 3 - 2).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.33? (a) 1 (b) -2\/3 (c) 1\/4 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 3*i + 1. Suppose -r + 2*l = 6 + 7, -36 = 4*r - 4*l. What is h(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -15, 4, 5 in descending order.\nAnswer: 5, 4, -11, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6873567 or 6873564?\nAnswer: 6873564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13913700 to the nearest integer?\nAnswer: 3730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**3 + 12*m**2 + 6*m + 2. Let a be y(-8). Suppose 6*n - 2402 + a = 0. Does 2 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -309, -617, -925, -1233, -1541?\nAnswer: -1849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 20*r + 5448. What is t(-277)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 7*o**2 - 11*o + 21. Let d be t(5). Suppose -10*z + d = -2*z. Calculate the greatest common factor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 603346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(-6) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p. Let d(y) = -17 - 16*y + 17. Determine d(b(w)).\nAnswer: 32*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1117, -2021, -2921, -3817, -4709, -5597, -6481?\n\"Answer: 2*d**2 - 910*d - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -26, -44, -78, -134, -218, -336, -494, -698?\n\"Answer: -h**3 - 2*h**2 - 5*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 15*g**3 + 22*g**2 - 46*g - 12. Let v(j) = -7*j**3 - 11*j**2 + 23*j + 6. Let c(t) = 6*a(t) + 13*v(t). Is 21 a factor of c(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 23*s - 21*s + 266, 4*s + 256 = 2*m. Let t = -130 + m. Solve t = -q + 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/(4830\/28)*(110\/54)\/11\nAnswer: -2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 - (34 + (4 - 1)). Let l = 44 + q. Solve l = -j + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 94 = -v, 3*v + 0*v - 341 = -4*q. Calculate the remainder when q is divided by 18*(6 + -3 + -2).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 163*b**2 + 98 wrt b?\nAnswer: 326*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2040 + 2040 - 74*v**2)*(7*v + 2*v**2 + 1 - 7*v).\nAnswer: -148*v**4 - 74*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1 + -62*3\/(-18) and -99\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -156472 + -3?\nAnswer: -156475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of l**6\/2160 - l**5\/240 + l**4\/72 - l**3 - 5. Let k(q) be the third derivative of o(q). Find z, given that k(z) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.2, 3, -23, 0 in descending order.\nAnswer: 3, 1, 0.2, 0, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 234657830*a + 197702595?\nAnswer: 234657830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 196276?\nAnswer: 785104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(147) + -3*sqrt(147)).\nAnswer: 28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeu when three letters picked without replacement from {u: 6, e: 4}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - n = -4*b + 55187, -73632 = -4*b - 11*n. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(0 - (-4)\/4). Is 33 + -5 + n - 3 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-6*(((2 + sqrt(19))*3 - sqrt(19)) + -2 - (3*sqrt(228)*-6)\/sqrt(12)))**2.\nAnswer: 207360*sqrt(19) + 9870336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*l - 723 + 538*l - 134*l + l**2 + 2487 - 158*l = 0 for l.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 26936.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10818.005917 - -10818. Round u to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 149*v**2. Let m = -16 - -18. Suppose -4*o = -20, m*o = -4*q - 0 + 6. Is h(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 384427167.\nAnswer: 3, 181, 707969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 4. Let s(k) = 2 - 2 + 2*k**i. Let w(a) = -a - 1. Let b(d) = -7*d - 4. Let f(o) = b(o) - 4*w(o). Determine f(s(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 6 - 3) + -192 + 178 - -6\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + -1. What is the second biggest value in h, 2\/3, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 2*a - 14, a = 2*j + 4 - 12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -607*d**5 + 19*d**3 + 105905*d.\nAnswer: -12140*d**3 + 114*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 11:01 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 272*u**4 + 280*u**4 - 1)*((3 - 4 + 2)*(1 + 0 - 3) + 0 + 0 - 1) to s*u**2 + n*u**4 + f + h*u**3 + z*u and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 41118 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: Divide 215 by -3.\nAnswer: -215\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 7 + 27*g**2 + 2 + 6 + g**3 + 8 + 5*g. Let h(d) = -d**3 - 26*d**2 - 4*d - 22. Let b(a) = -5*h(a) - 4*n(a). Let k be b(-22). Which is smaller: 17 or k?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 8. Suppose -2 = -13*z + 11*z. Let h = 1 + z. What is the least common multiple of s and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22090684?\nAnswer: 2, 7, 11, 17, 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((1330\/(-399))\/((-30)\/9))\/((-4)\/148)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 54*n**2 + 2*n + 6. Let i(w) = 3*w**2 - 27*w + 9. Let g be i(9). Let t be (-16)\/g - ((-2)\/(-9))\/1. Does 47 divide c(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*s - 9 = 126*s - 2*f, 0 = -2*s - 5*f + 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i - 1. Suppose 3*g - 2*g = -5*x + 4, -34 = 5*g - 2*x. Let v be p(g). Calculate the highest common divisor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from byxqfyyfxx?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmgi when four letters picked without replacement from {o: 1, r: 2, g: 1, i: 2, m: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1406472269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 6\/(-33) - 1305\/(-99)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z - 7. Let n be k(-8). Let j be 6 + n - (-1 + 1). What is j rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*z + 1419*z + 9728 = 0 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 664\/4*9\/6 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.025 + -0.0249997. Round r to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -18 (b) 3 (c) -2 (d) 0 (e) 0.416524\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v + 3*v - 2*v + 0*v - v + 3*v + (2 - 1 - 3)*(-2*v + 2*v - 3*v) + (-18 + 5 + 12)*(2*v + 3*v + 0*v) - v - 2*v + v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.5 or -5\/38?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -212087\/24 + 8837. Let a(l) be the third derivative of 0*l**3 + 0*l + 0 - f*l**4 - 8*l**2. Let r(x) = -3*x. Determine a(r(s)).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 543*k + 1126*k + 119*k + 377*k**2 - 379*k + 146*k**2 wrt k?\nAnswer: 1046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/8 + 42\/8. Suppose 2*o + p*v = 89, -4*v = 4*o - 151 + 3. Suppose -2*s = 2*s - o. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(200)*-4.\nAnswer: -40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/9)\/((m*m**(-1\/16))\/m))\/(m**4*m**(-1\/11))*(m\/(m*m**(6\/11)*m*m))\/m**(2\/19)*m**(-5\/6)*(m**1\/m*m)\/m assuming m is positive.\nAnswer: m**(-213935\/30096)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 360 and 270.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**3 + 246*a**2 - 6*a + 1. Let x(m) = 7*m**3 + 491*m**2 - 13*m + 2. Give -9*i(t) + 4*x(t).\nAnswer: t**3 - 250*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -24 + 354851?\nAnswer: 354826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c - 3*c + c**2)*(-150*c**2 - 370*c**2 + 97*c**2) as i*c**3 + j*c + q*c**2 + l + o*c**4 and give o.\nAnswer: -423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-44)\/(-110) - (-23)\/5. Solve 3*z + 7 = 7*z + p*b, 3*z + 9 = b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -1266, 4 in descending order.\nAnswer: 4, -17, -1266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 6*f - 7. Let x = 14 - 21. Let y be d(x). Which is greater: 1\/4 or y?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -87767 + 789002\/9. Let w = b - -100. Suppose 0 = 7*f - 3*f + 4*d - 12, -7 = 3*f - d. Is w >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -46?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/20)\/((-4)\/24)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 3*o - o)*(3 - 3 + 1) + (3*o + 19*o - 11*o)*(4 + 6 - 5) + 4*o - 4*o - o.\nAnswer: 53*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4133?\nAnswer: 4133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w + 2. Let g(l) = l. Calculate g(h(c)).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 484*m**2*u**3 + 2*m**2*u - 1975*m**2 + 2*u**2 wrt u?\nAnswer: 1452*m**2*u**2 + 2*m**2 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -358 + 446. Suppose n + d + 10 = 0. Which is bigger: -99 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/5 - (-108)\/30. Let y(w) = 3*w**2 + 6*w + 2. Let h(i) = 2*i**2 + 5*i + 3. Let o(f) = g*h(f) - 3*y(f). Determine o(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 + 51*t**2 + 42 + 376*t**2 - 93.\nAnswer: 427*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, 8\/3, -4, -2\/7, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18.58689043 - -437946.58419043. Let b = h + -437968. Let q = b - -40. What is q rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*b**2 + 6*b**2 - 23*b**2 + 7*b**2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/6 + 29\/(-18)*3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-17)\/((-68)\/(-24))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 13*k + 2*k. Suppose 0 = k*z + 6*z + 2703. Which is greater: -158 or z?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/2 + 115*u**2 - 2173*u\/2 - 2629.\nAnswer: (u - 11)*(u + 2)*(u + 239)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 2*s - 22 - 10, -5*s = -4*t + 62. What is the remainder when 31 is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 x when two letters picked without replacement from ppphhxjxxxphhxh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 7*m**3\/3 + 2. Let v(o) be the third derivative of -25*o**2 + 0*o + 0 + 0*o**3 + 1\/8*o**4. Determine v(f(b)).\nAnswer: 21*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2376 and 3608?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 815 + 942. What are the prime factors of (-120)\/300 - z*(-1)\/5?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45149 - 44983. Let k(d) = 188*d**2 - 2*d - 1. Let l be k(2). What is the greatest common divisor of l and o?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 303097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, h: 3, d: 12}. Give prob of picking 2 z and 1 h.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -285*v - 129. What is the thousands digit of a(-46)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y**3 - y**2 - y. Give f(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -17. Let y be (-460)\/p + (-2)\/3 + 1. Suppose -y*s = -36*s + 4395. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (7 - (19 - 7))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13, 1\/13, 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 13*j - 6*j - 14 + 0 as y*j + t and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) 2\/5 (c) -6 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = 2*r - 5*a, 3*r + 5*a = -r - 205. Let w be (-10)\/r + (-6)\/10. What is the nearest to 1 in -3\/4, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 900417 to the nearest integer?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.35 - -0.15. Let k = -2.7 + c. Let i = -0.1 + k. Sort -5, 2, i in decreasing order.\nAnswer: 2, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1665 (b) -3 (c) 5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, j: 2, f: 4, v: 1}. What is prob of picking 1 s, 1 j, 1 f, and 1 v?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 171588742873 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -11\/3, -5.\nAnswer: -5, -11\/3, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17889 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2051 is divided by 126.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 2, 2\/367, -2?\nAnswer: 2\/367","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52 - 2*k**4 - 5*k**3 + 3*k**3 - k + 1831*k**2 - 3*k**3 - 1834*k**2 to x + z*k + s*k**4 + t*k**3 + u*k**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crdrl. What is prob of sequence crr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wbcbrwbxbxbbbj. What is prob of picking 2 w and 1 c?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - l = 0. Suppose 12 = 2*p + 4. Let g(t) = -p*t + 2 + 1 + 3*t + 2. What is g(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 23 = 3*i, m - 5*m = 4*i - 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, b: 1, z: 4, w: 2, l: 1}. What is prob of picking 1 o, 1 b, and 1 w?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-3*sqrt(504) - sqrt(504))\/(sqrt(8) + sqrt(16)\/sqrt(2)*6))**2.\nAnswer: 2304\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(s**2 + 5*s**2 - 2*s**2 + ((-5 + 1 + 2)*(-1 + 4 - 1) - 1 + 6 - 2)*(2*s - 4*s + s)*(7*s - 12*s + 6*s)).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/2, -4\/9, 9\/4, 3\/11.\nAnswer: -1\/2, -4\/9, 3\/11, 9\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98, -204, -310, -416, -522?\nAnswer: -628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1052822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 29\/2 of a centimeter?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 7 = b, -b = 9*x - 4*x - 35. Suppose -5*q - x = 3*h, 3*q - 2 + 17 = 0. What is the remainder when 15 is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31469 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.29556 - 53.74306\nAnswer: -54.03862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 208*g**5 + 26*g**4 + 161*g**3 - 43864502*g**2 wrt g.\nAnswer: 12480*g**2 + 624*g + 966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(440)\/(sqrt(11)*2))\/((sqrt(96)*-1)\/sqrt(12) - sqrt(8)) + 6*(sqrt(405) + -2 + -4).\nAnswer: -36 + 215*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 16044.\nAnswer: -8022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -b - 40. Solve 6*k + 1 + b = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.2415 + 165837?\nAnswer: 165856.2415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0014753 rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16622?\nAnswer: 2, 8311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15301 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -2) + 1 + 3. Let z(l) = 2*l + 3*l - 2*l - 4218 + 4218. Let v(s) = -5*s. Let n(u) = p*v(u) + 7*z(u). Let i(h) = 11*h**2. Calculate i(n(b)).\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 0*u**5 + 0*u**6 - 1\/112*u**8 + 0*u - 10*u**2 + 0*u**7 + 2\/3*u**4 + 0*u**3 + 0. Find the second derivative of t(x) wrt x.\nAnswer: -60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 451 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 138 + 141 = 2*k + 261, 0 = -18*h - 5*k + 69 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*t + 13 + 77 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44.9 - -193.1. Let s = v - 348. Let x = -103.3 - s. What is x rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1896)\/(-395))\/(3*(-3)\/30)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/75 + 94\/5. Let h = 24 - a. Calculate the remainder when 27 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 14232.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -48 (b) -91 (c) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -7 - 17. Suppose -x = -w + 4. Suppose -37 = 11*i - 345. What is the greatest common factor of x and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 20131, 81752, 184449, 328222, 513071?\n\"Answer: 20538*x**2 + 7*x - 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2090697 and 15225.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, -8, 13\/301, -5?\nAnswer: 13\/301","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/434 and -121\/3243220.\nAnswer: 22702540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, 531, -62 in increasing order.\nAnswer: -62, 47, 531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51\/(-12) + 3 - 1.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 8, -3, 0.21, -1\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -212 or -0.82237?\nAnswer: -212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31553525 to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7)\/(-3) + (10 - 372\/36). Solve 0 = 2*g - 10, -y*k - 8*g = -10*g for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 20 = -4*o, -9 - 1 = 5*g + 2*o. Let a(j) = g*j**2 + 9 - j**3 - j**2 + 2*j**2 - j. Let n be a(0). What is the greatest common factor of n and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 942 = 305*a - 301*a + 5*v, 5*a - 2*v - 1128 = 0. What is the lowest common multiple of a and 1140?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4308*m - 20358 = 5874*m for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -256 + 261. Sort 3\/8, q, 1.2 in increasing order.\nAnswer: 3\/8, 1.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8431555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 456 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6304, -25272, -56880, -101128, -158016, -227544?\n\"Answer: -6320*d**2 - 8*d + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2. Give v(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19311 = u + c, 4*c = -11*u + 15*u - 77260. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fg when two letters picked without replacement from gfgg?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 174 and 24?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/2))**(-1\/35)*(t\/(t\/t**(-4\/5)))\/(t\/t**(2\/9)))\/(t**(-2)\/(t\/(t\/(t*t**1))))**(2\/5) assuming t is positive.\nAnswer: t**(1\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, j: 1, y: 1, t: 3, h: 2}. Give prob of picking 3 r.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c**4\/4 - 24*c - 2. Let u(k) be the first derivative of l(k). Let a(n) = 7*n. Calculate a(u(q)).\nAnswer: -21*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 2:16 PM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2544, -2554, -2572, -2598, -2632, -2674?\n\"Answer: -4*u**2 + 2*u - 2542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -461 + 465. Let s = 0.2 - 0.3. Let p = -0.3 - s. Sort p, l, 0.1 in ascending order.\nAnswer: p, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 146088330 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 5 = 2*d, -3*k = 173*d - 168*d - 40 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -23. Let a(j) = 0*j + j - 3*j. What is the remainder when h is divided by a(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 6*x**2 + 9*x - 3. Let f(c) = -c**2 - 1. What is -4*f(q) + u(q)?\nAnswer: -q**3 - 2*q**2 + 9*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 399\/5731?\nAnswer: 399\/5731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1392*w**2 - 7248*w**2 - 4778*w**2 + 466*w**2.\nAnswer: -12952*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 23, 5, -1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3883, 5568, 7415, 9424, 11595?\nAnswer: 13928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*v - 4. Suppose 0*b = -v*b. Suppose b = h - 3, -5*r + 0*r - 3*h + 79 = 0. What is the smallest common multiple of 14 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(120)*-4)\/(3*sqrt(40)\/(2*sqrt(4))).\nAnswer: -16*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10720 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22 - 15*a - 22 to the form x + p*a and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 174 = 2*i - 48, -20 = -5*p. Let v = -32 + i. Let q = 103 + v. Is q < 8\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -139 - -93. Let d = -737\/76 - -37\/19. What is the common denominator of d and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11185 + -8943. Is 19 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/3)*n**(2\/5))**(2\/3)*(n\/(n*n*n**(1\/6))*(n*n**(-1\/3))\/n)\/((n*n\/n**4)\/n*n*n*n**(-1\/3)*n) assuming n is positive.\nAnswer: n**(-41\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwcaccayycvaccwwwwc. Give prob of sequence acc.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66156 + -463072\/7. Factor -2\/7*r**2 + 22\/7 - t*r.\nAnswer: -2*(r - 1)*(r + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*q = -26*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2 - 22*h**3 + 21*h**3 + 0*h - 8*h**2 - h. Let d be k(-7). Let o = 82 + d. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**0)**(-2\/13)*(f**(2\/7))**(-2\/33))**18 assuming f is positive.\nAnswer: f**(-24\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/102747 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 255 - 170. Suppose l = 5*x - 0*x. Calculate the lowest common multiple of x and ((7 + 35)\/(-7))\/(3 + -2 + (-16)\/10).\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 486 and 21504690.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -2\/9, 8, -0.2, 2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -152 - -155. Let m(z) = z**2 - 4*z + 13. Calculate the remainder when m(a) is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -1590018\nAnswer: 636007.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13222073.\nAnswer: 17, 777769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 535545 and 12559522?\nAnswer: 1695535470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/10)\/((-26)\/(-130)). Put 2, -5, o in ascending order.\nAnswer: -5, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260115 is divided by 6374?\nAnswer: 5155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4*r - 8, -5*j - r - 10 - 7 = 0. Let l(h) = -12*h - 6. Is l(j) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24871 divided by -6\nAnswer: -24871\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 717496485 to the nearest integer?\nAnswer: 26786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 5*s - 2 = 0, -5*w - s + 95 - 105 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12424829, 12424826, 12424821, 12424814, 12424805, 12424794, 12424781?\nAnswer: 12424766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59333149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l - 4. Let d(x) = 15. Let t(m) be the third derivative of 7*m**3\/6 - 2*m**2. Let b(z) = 6*d(z) - 13*t(z). Let v(p) = -6*b(p) + u(p). What is v(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -12 - (0 + 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6789 = 133366*o - 133585*o for o.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03 + 4.97. What is the smallest value in v, -3, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1113 + 1118. Solve m*f - 21 = -p, 3*p = -2*f - 2*f + 8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 1*71 + -12 + 15?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b - 1. Let t be (-39)\/(-78)*-1*6*-1. Let k(a) = 2*a + 1. Suppose -4*v = -4*q + v + 45, 5*q - 4*v = 45. Give q*k(l) + t*x(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6478359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2536, 0.3, 1 in decreasing order.\nAnswer: 1, 0.3, 0, -2536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 20 = 28. Let x = 47 - o. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 15*k. Let d be p(-3). Is 17 a factor of (-15)\/(-10) - d\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, b: 1, e: 4, y: 1, t: 2}. Give prob of sequence tae.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b + 5. Let r be c(0). Suppose 0 = -2*t + r*a + 150, 4*a = -0*t + t - 72. Let s = -54 + t. Does 26 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {r: 5, o: 14}.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696 is divided by 90?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, g: 1, q: 7, a: 5, e: 5}. What is prob of sequence aa?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-365)\/(-75) + (-11 - -6).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 882.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2859 is divided by 1271.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-16)\/(-2) - 18\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**3\/d*((d*(d**(-1)*d)\/d)\/d*d)\/d)\/(d**(-7)*d**(3\/4)) assuming d is positive.\nAnswer: d**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + 41. Suppose 3*b - 2*d - 260 = j, -96 = -b + 4*d. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144571639 is divided by 6187.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-2\/7)\/a))**(8\/9)*(a*a**0)**(1\/25))\/((a**(-3\/5)\/a*a**(-4\/5))\/(a\/a**1)**32) assuming a is positive.\nAnswer: a**(7043\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - 0. Let n = 0.04 + 2.66. Let y = -3 + n. Which is the third smallest value? (a) 1 (b) y (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/6 + 756324\/(-1269)*(-1)\/(-8)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*j - 315 = 0. List the prime factors of j.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21290011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 32 = b - 9*m, -3*b + 4*m = -27. Solve -20 = 10*r - b*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2062 - -326?\nAnswer: -1534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -379, -376, -371, -364, -355?\nAnswer: -344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 9:17 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9237943 to the power of 1\/3, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/30 and 2\/((-72)\/(-190))*-1?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47832 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 116 and 93902.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2 + o - 6. Let n(v) = v**2 - v - 2. Let k be n(2). Suppose k = -c + 5*c + 16. Let q(t) = 1. Calculate c*q(j) - h(j).\nAnswer: 2*j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/((-14)\/(-56)*-2). Put -0.1, a, -2\/81, -4 in ascending order.\nAnswer: -4, -0.1, -2\/81, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*y + 437 = 0, 2*i - 3*y + 4*y + 868 = 0. Let b = i + 1194. What are the prime factors of b?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1508244 times 0.6\nAnswer: -904946.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 214 - 228 - (71 - 3)\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*m - 0*m. Suppose 12*t = 2*x + 9*t - 17, 0 = -2*x + 5*t + 7. Calculate the lowest common multiple of m and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/21 greater than or equal to 5\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 305 - 310. Which is the second biggest value? (a) p (b) 1\/2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-12)*(-8)\/(-2). Suppose -2*b = -8, -o*c - b + 4*b - 840 = 0. Is c\/(-8)*2 - 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -296 - -301. Calculate the lowest common multiple of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (157 - 147) + (-16 - 0) - (-41 - -9)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 2\/7 (c) -44 (d) -21.24 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 = 3*s + 5*a, -2*s - 5*a - 193 = -5*s. Let u = -23 + s. Is 19 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2777 (base 15) to base 11\nAnswer: 6380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 bigger than -49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6127317?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354266?\nAnswer: 2, 11, 16103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*r**2 + 2*r**2 - 6*r**2)*(-1 - 2 + 2).\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*d**2 + 3223734 - 2932*d.\nAnswer: 2*(d - 2199)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.26 (b) 2\/13 (c) -3 (d) 0 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + t + 4*t + 16*t**2 - 6*t + 3*t to the form g + y*t + v*t**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -k**8\/504 + k**6\/90 - k**4\/36 - 45*k**2\/2 + 35. Let m(y) be the second derivative of q(y). Factor m(l).\nAnswer: -2*l*(l - 1)**2*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 39401314 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.186 * 4\nAnswer: -0.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 673133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d = 29 + 15 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 665?\nAnswer: -665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 129, 561, 1397, 2733, 4665, 7289?\n\"Answer: 16*o**3 + 106*o**2 + 2*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363858 is divided by 9329?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 174 = -2*b, -324 = -4*b - 5*r + r. Is b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1\/2, -7\/5, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**3\/3 - 19*m. What is o(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2246 is divided by 2244.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/(-9) + -13 + 23.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 91.2*72\nAnswer: 6566.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*y + 2*c + 5, 2*c = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*j - 23*j + 4800 = 21*j for j.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -261, -1828, -6069, -14352, -28045?\n\"Answer: -228*z**3 + 31*z**2 - 64*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5324*x**6 + 23337*x**2 wrt x.\nAnswer: 638880*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 879*k + 7569. Give n(-10).\nAnswer: -1221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + p + 12. Give g(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2587 + 3587. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a meter in micrometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 + 2*r - 1. Let f be m(1). Solve 0 = c - 4*c - f for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -38*v + 194. Let f be u(11). Let q be (140\/(-6))\/(-2)*-3. Find the common denominator of 13\/36 and (-10)\/q + (-1980)\/f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5343*n = 5216*n + 986 + 919 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + sqrt(768)*-1 + -2*sqrt(768)*1 + 1)**2 + 5.\nAnswer: 288*sqrt(3) + 6926","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*u + 74*u + 99*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2061 + 163*r**2 + r + 2061.\nAnswer: 163*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.67 and 661?\nAnswer: 4408.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 55\/17? (a) -2\/3 (b) -5 (c) 405 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 13*f. Let t(z) = 1762*z**2 + 914*z. Calculate t(m(i)).\nAnswer: 297778*i**2 + 11882*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 405 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 7:07 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**2 - 103104*g - 1650432 = 0. Calculate g.\nAnswer: -16, 34384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 4362475.\nAnswer: -1\/4362475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/15 + 110\/(-25) + -34.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + -2*sqrt(228))*4)\/sqrt(12).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 1, 276977 in increasing order.\nAnswer: 0, 1, 5, 276977","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**4 + 2*h**5 + 3*h**4 + (-2*h**3 + 3*h**3 - 3*h**3)*(-3*h**2 - 3*h**2 + 4*h**2) - 18*h**5 - 7170*h + 7170*h.\nAnswer: -12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 11. Suppose 2*y - j*y = -2. Solve 2*v + y*v + 12 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2555*n + 5*n**2 - 3*n**2 - 2555*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.836 - -18.7905. Let v = 11 - u. What is v rounded to three dps?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1406876 and 2764.\nAnswer: 2764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 - 728850\nAnswer: -728849.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 1973 + 1847 = 0 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 9*m - 13 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 34 = -2*g, 2*q + q + 3*g - 24 = 0. Let v be ((-24)\/15)\/((-16)\/40). What is the highest common factor of q and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-80)\/24*36\/10. Find the common denominator of -17\/7 and (34\/(-30))\/(s\/9).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 479009169 divided by -3789.\nAnswer: -126421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*g - 195 = 855. Is g bigger than -75?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -46, -119, -250, -457, -758, -1171?\nAnswer: -1714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 82982755 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3924 divided by 2\nAnswer: 1962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0.5, 4, 0, -35, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y = -173*y - 1281 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + 1 + -4 + (-1 + sqrt(175))*4 + 1)**2 - (0 + ((sqrt(175) - (sqrt(175) - (sqrt(175) + 0))*-5 - sqrt(175))*-1)**2).\nAnswer: -300*sqrt(7) + 4411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103824?\nAnswer: 2, 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.354, 324\/7, -2, 475 in decreasing order.\nAnswer: 475, 324\/7, 0.354, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7325607 rounded to four decimal places?\nAnswer: 0.7326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 624540*m**2*o - 12562*o + 7 wrt m.\nAnswer: 1249080*m*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*z**5 + 0*z**2 + 0*z**4 + 1\/6*z**3 + 0*z + 0.\nAnswer: -z**3*(z - 1)*(z + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10833112541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 6*k**2 - 6*k - 3. Suppose -5*i + 18 = 8. Suppose -6*n + i*n + 2*z + 10 = 0, 2*z = -n. Calculate the remainder when n is divided by j(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1947, 0.1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(45) + sqrt(45))\/(1*sqrt(576)).\nAnswer: -5*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**4)**(-1\/22)*(p*p**(4\/11)*p)**(-28) assuming p is positive.\nAnswer: p**(-1453\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*u + 2. Suppose -2*j + 4*a + 650 = 0, -a = j + u*j - 968. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 16 = 3*q + 94, -70 = -68268*q + 68269*q - 16*u for q.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4160 times -111.84?\nAnswer: 465254.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 16*b + 25. Suppose 3*j - 56*n + 55*n = 0, 0 = -j + 3*n + 8. Let x be d(j). Determine g so that x*g**2 + 3\/8*g**4 - 33\/4*g + 21\/8 - 15\/4*g**3 = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1461713142 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 + 11 - 21 + 0*h**2 to l + c*h**2 + w*h and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 31. Calculate the remainder when 49 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuxuuxuuuxxux. What is prob of sequence xuxu?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - y - 1 + 3*y - 4*y + 3*y + (-9*y - 10*y + 10*y)*(0 - 4 + 2).\nAnswer: 19*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4\/11025 + 174131\/176400. What is the common denominator of -57\/3580 and u?\nAnswer: 14320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 8162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5 - 5 + 4*x - 4. Let n be p(-3). Let t = -6 - n. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -32. Let t = -8 - p. What is the units digit of t + 0\/(-1) + 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b + 8. Let p(w) = w + 7. Give -5*m(z) + 6*p(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 7*m - 248. Let z be -1 - ((3 - m) + 3). Let q(p) = 41*p - z*p - 16*p. Let x(h) = -2. Determine 2*q(t) + x(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 29*p + 50. Let h be k(-28). Let j be 490\/((h\/(-4))\/(-11)). Round j to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 34, 52, 70, 88, 106, 124?\n\"Answer: 18*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**3 - 88*r**2 - 421*r + 29. Calculate b(-5).\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 6*l**2 + 129*l - 3760. What is the ten thousands digit of y(47)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 837 and 899?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -2*o - 132. Find the second derivative of 13 - 19*l**3 - 1 + 19*l - o wrt l.\nAnswer: -114*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1088, -1, -5 in ascending order.\nAnswer: -5, -1, 1088","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v - 3*v + 2*v + (2*v + 0 + 0)*(-3 - 1 + 6) + v + v - v + v + 6*v - 3*v)*(v**4 - 3*v**4 + v**4) + 2*v**5 + 19*v**5 + 9*v**5.\nAnswer: 27*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 100549*v**2 + 4 - 50471*v**2 - 50314*v**2 - 31 + (v**2 - 3*v**2 + v**2)*(0 + 2 + 0).\nAnswer: -238*v**2 - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-322)\/138*(-2496)\/(-448) + 1\/((-2)\/(-232))?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*x = 6*x + 1266 - 474 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3706*i + 972 = -3702*i. What is the highest common divisor of 675 and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -21071 + 10541 + 10541 - 2*b. Calculate k(-16).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5135 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 277664?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 12) in base 7?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 33. Let p = -20 - -20. Let q be z(p). Let u = 52 + -30. What is the greatest common divisor of q and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5824?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 1. Let i(u) = -4*u**2 - 6. Let z(r) = -6*c(r) - i(r). Let s(j) = 24*j**2. Calculate s(z(a)).\nAnswer: 96*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 1:26 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*4\/(-8) + -1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12722581\/90 + 141364. What is the common denominator of v and 73\/39?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51.47 - 74.47. Which is the closest to -3? (a) -1\/7 (b) 1 (c) l (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 2*v - 1. Let c(x) = 726*x**2 + 1210*x - 605. Give c(y) - 605*g(y).\nAnswer: 121*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from errnn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, r: 6}. What is prob of sequence rwrw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*v - 63, 2*v + 0*v = 4*g + 18. Let o = 11 - v. Which is the second smallest value? (a) o (b) 2 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 383 - 183. Let k be (-54)\/(-45)*(-5)\/(-3). Suppose k*g = -2*g + p. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/7)*o**(-16) assuming o is positive.\nAnswer: o**(-113\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n**2 + 489*n - 1980. Calculate o(4).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**4 - 3*k**2 + 2*k = 0. What is k?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 241374.27 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15560581 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3306?\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 321.43 - 1103.22. Let c = h - -777. What is c rounded to 1 decimal place?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2141077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -76 at least as big as -686\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -8. Let u = 4931 + -14788\/3. Sort 0.04, z, u in ascending order.\nAnswer: z, 0.04, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*h = -0*i + 428, 5*i - 535 = 3*h. Let x be (-6)\/(195\/99 - 2). Let y = x - i. What is the highest common divisor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -246*h - 8*h + 5522. Let f = 9 - 5. Let p be f*22*(-2 + 3). Calculate the highest common factor of h and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1324812645 to the nearest integer?\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iedhjvhj. What is prob of picking 1 v and 2 h?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**3 + 57*q**2 - 156*q - 36. Let x be y(-31). Which is greater: x or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 11*y - 67. Let o be k(6). Sort o, -10, -3\/4 in descending order.\nAnswer: -3\/4, o, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, l: 3}. What is prob of picking 2 b and 2 l?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjd when three letters picked without replacement from skjmssskdj.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 528*b - 242. Let n(r) = 106*r - 45. What is -11*n(j) + 2*v(j)?\nAnswer: -110*j + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**3\/j)\/(j\/((((j*j*j**(-2\/11)*j)\/j*j)\/j)\/j*j)))**37 assuming j is positive.\nAnswer: j**(1147\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14 + 6 + -4 + 1984\/(-160). Let y be 196\/110 + 2\/(-11). Factor y*f**2 - 21\/5*f - 1\/5*f**3 + a.\nAnswer: -(f - 3)**2*(f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25529.81 rounded to the nearest 100?\nAnswer: -25500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 2 - (1 - 2 - 1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 412 times 0.04\nAnswer: 16.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1392305061?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/((sqrt(108)*-1)\/sqrt(12)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 2*i + 2. Let o(c) = 9*c**2 - 21*c + 21. Let t(s) = -s**2 + 17*s + 42. Let g be t(21). Calculate g*n(a) + 4*o(a).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 11*v + 1. Let f be q(-9). Suppose p + 3*t = f, p - t - 19 = 2*t. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223*w + 2641380 = 736291. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21083 is divided by 6 - 5 - (-22 - 2)*1\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 0.3383 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3\/557?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen eighths of a millennium?\nAnswer: 19500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 2*i - 3*i)*(-25 - 474*i - 517*i - 429*i + 1530*i).\nAnswer: -110*i**2 + 25*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 283365.9ug in kilograms?\nAnswer: 0.0002833659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**5 - 8*d**4 + 20*d**2 + 2*d - 12 = 0. Calculate d.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 - -13011033?\nAnswer: 13011014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 4*w + 11, -11 - 2 = -w - 4*q. Let i be 2\/((-19)\/13 + -1). Let r = i + 113\/80. What is the biggest value in 0, r, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 4)*800\/(-60). Suppose -3*s = -2*y + 23, u = y + 4*y - 4*s. Solve 0 = -y*t - a + 1, -5*t + a + 2 = 2*a for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2120099 is divided by 530023?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26556 and 8.\nAnswer: 53112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z**4\/2 - 4*z**2 - 3. Find the second derivative of v(g) wrt g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i. Let l(z) be the third derivative of 0 + 0*z + 23*z**2 - 5\/12*z**4 + 0*z**3. Calculate u(l(v)).\nAnswer: -40*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 470.146ml in litres?\nAnswer: 0.470146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 6*o**2 + 8*o - 21. Let v(m) = m - 1. Let g(h) = -i(h) + 3*v(h). Let t be ((-206)\/515 - 22\/(-5))\/((-6)\/9). Is 12 a factor of g(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 48*r**3 + 107*r**2 + 29*r - 33. Let g(c) = 10*c**3 + 21*c**2 + 6*c - 7. What is -19*g(k) + 4*o(k)?\nAnswer: 2*k**3 + 29*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 6*y**2 + 232*y + 2268. Determine v(-20).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = -3*v - h, v - 15*h + 11*h = 2. Let k(g) = 2*g**2 + 30*g + 33. What is k(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004887352 to 6 dps.\nAnswer: 0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 - -50. What is the least common multiple of 16 and f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150213 is divided by 75101?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.4 - -0.2. Suppose -2*w = -4*l + 8, -5*l = -3*w - w - 13. Let j = -1867\/6 + 312. Put l, q, j, 0 in descending order.\nAnswer: l, j, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(32*(-49)\/(-11760))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -131.5 + 131. Sort 0.4, -3, -4, w in ascending order.\nAnswer: -4, -3, w, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28329a5 (base 11) to base 9.\nAnswer: -10156145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 6:22 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 + -25 - 39) + -11 + -3 + 2?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 6*i**2 - 17*i + 35. Let a = 282 - 291. Let c be w(a). Which is smaller: c or -53?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**3 - 3*m**2 - 8*m + 10. Determine c(-3).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3795?\nAnswer: 3, 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.385 * 0.021.\nAnswer: -0.008085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**2 - 2*t**2 + 3*t**2 + (1 + 64 + 4)*(5*t - 5*t + t**2)*(2 + 3 - 3) + 4*t**2 - t**2 - 2*t**2 as w*t**2 + a*t + r and give w.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5981.333kg to milligrams.\nAnswer: 5981333000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13 + -6c?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*b - 306. Let x = b + -52. Suppose -9*v = -x*v - 30. Calculate the greatest common factor of v and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-2\/3))**17\/(a*a**11*a**(-4\/7)) assuming a is positive.\nAnswer: a**(355\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1567*n = -1582*n + 180 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/25 (b) -5 (c) -0.04241823\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/5 - -3 - 11)\/(3\/6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -189694407, -189694408, -189694409, -189694410?\n\"Answer: -s - 189694406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 8*z - 15. Suppose -8*l + 3 + 29 = 0. Let t be g(l). Which is the second biggest value? (a) t (b) 2\/3 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 16*w + 8. Let n be j(-6). Let a be (1\/(-2))\/(4\/n). Calculate the greatest common factor of 88 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*j + 15. Suppose 0 = -j*p - 2*p + 35. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 - -126. List the prime factors of p.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((19 - 20) + (0 - 1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3519)\/(-1656) - ((-6)\/(-16))\/3. Solve f - 16 = 5*f + 4*v, -m*f - 20 = 5*v for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/144 and 133\/942?\nAnswer: 22608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 8*q. Let x(k) = 355*k. What is x(p(h))?\nAnswer: 2840*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1614 (base 8) in base 10?\nAnswer: -908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 25, 62, 115, 178, 245?\n\"Answer: -p**3 + 14*p**2 + 2*p + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 <= 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 3. Let j = r + 0. Suppose -j*x = -13 - 7. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -3.45402?\nAnswer: -0.54598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -331.93 + 335. Let d = 0.07 - y. Which is the second smallest value? (a) 0 (b) 1\/2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18\/251 + 8857\/1004. What is the common denominator of y and 41\/2194?\nAnswer: 4388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b*b**35)\/b)\/b)\/b*b*(b\/(b*b**(4\/23)*b)*b)\/b*b*(b**(3\/20))**(-4\/15) assuming b is positive.\nAnswer: b**(20577\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 3:56 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 31.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 0)\/(-4 + 2). Let w = -97 + 102. Which is the nearest to k? (a) w (b) -2\/21 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-9*5\/(-120)*2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6463237 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: Solve -2*u + n = 4, 0 = 5*n + 74 - 134 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppps when four letters picked without replacement from {p: 3, s: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-40)\/42 - 4\/(-6). Let l = -9 - -7.4. Let o = l - -1.2. What is the second biggest value in o, 5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3)*l*l*l*l*l*l**8)**(-1\/8)*(l*l**1*l*l*l)**12*((l*l*l**(1\/3)*l)\/l)**(1\/49) assuming l is positive.\nAnswer: l**(4939\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 4:19 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/204 and 13\/96?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d + 5. Suppose 0 = -3*p + 3*x + 30, -5*p - 4*x = -13 - 19. Does 7 divide v(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4564056, 4564053, 4564050, 4564047, 4564044, 4564041?\nAnswer: 4564038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36\/5 + (-1)\/5. Suppose 262 - 82 = 18*v. Is v < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 85 - 13. Let i be 405\/a + 1\/(-4). Let j(r) = 4*r + 2. Let k(w) = -2*w - 1. What is i*k(l) + 6*j(l)?\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*f**2 + 75*f - 550.\nAnswer: (f - 5)*(7*f + 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 193? (a) -3 (b) -2 (c) -4\/117\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 13*k**2 + 7*k + 14. Let c(b) = -13*b**2 - 8*b - 17. Determine 5*c(w) + 6*r(w).\nAnswer: 13*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-2)*(-3)\/26*20\/75?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*h + 582 + 8*h - 18*h + 674 in the form r*h + l and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -248833 (base 9) to base 15.\nAnswer: -2ea6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bog when three letters picked without replacement from obecgbbodoeebeb?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2.04 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 2*o**2 + 3. Let f be d(-2). Suppose -2*l = 4*n - 26, -3*n + n + 23 = 3*l. Solve -f*p + 10 = -4*s - p, -5*p = l*s + 35 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 10 = -2*k + 3*k, -3*j - 12 = 3*k for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kcx when three letters picked without replacement from {c: 1, k: 1, h: 1, t: 1, x: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dt when two letters picked without replacement from ttdtttttttd?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22364*d - 22332*d + 64 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l - 43 = -14*l + u, -253*l - 11*u + 1301 = -13*u for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 277555 + -277554.9272479. Let u = 0.0727 - m. Round u to 6 dps.\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -2) + 10 + -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.66 + 54.46. Let r = y + -45.67. Let h = -0.13 + r. Which is the second biggest value? (a) -0.5 (b) h (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20032031 (base 4) to base 14\nAnswer: c3b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -123 + 1106\/9. Which is the third biggest value? (a) -3\/4 (b) 0 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 12*x - 4761. Let w(c) = -c. Calculate w(o(a)).\nAnswer: -12*a + 4761","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p + p + 3*p - 7 + 4*p. Suppose -5*i + 5*z + 78 = 3, 3*i - 2*z - 46 = 0. Is a(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2085 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -450 (base 8) to base 4\nAnswer: -10220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -11, -2 in increasing order.\nAnswer: -11, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 1 + 0)*-4. Let y be d + 1\/5 + 1176\/20. Let x = y - 26. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -5*s - 3*g, 3*g - 46 = 5*s - 0*g. Let y = s + 11. Solve -y*k = -6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 221 by 9.\nAnswer: 221\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3) + 23\/(-39). What is the biggest value in 1\/3, n, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 1287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**2 - 28020*k = 0. Calculate k.\nAnswer: -5604, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.24 and 3.\nAnswer: 3.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 3*l - 11, -l + f = -2*l + 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18600?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 2, 0.5, 5, -1022?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + 2*u + 18, 18194*g + 2*u - 2 = 18196*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1707*s + 1707*s + 11 + 3*s**2.\nAnswer: 3*s**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(11)*-1 + 6*sqrt(11)*2.\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 342331 + -1711652\/5. Factor 6 - 9\/5*b - t*b**2.\nAnswer: -3*(b - 2)*(b + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 1 = 15, 0 = -4*a - o + 12. Suppose -6*x + a*x = 5*g - 72, -5*g = 20. Calculate the remainder when x is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 569611.4 rounded to the nearest one hundred?\nAnswer: 569600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-2 - -11) - (-12 + 30).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 0 + 3*k**4 - 1\/15*k**5 + 0*k - 222*k**2 + 38\/3*k**3. Factor w(h).\nAnswer: -4*(h - 19)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = j - 81, -2*j + 2 - 10 = 0. Solve 18*i - t*i + 5 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21925609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 32542 (c) -2\/39 (d) 1.7 (e) 5 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + u - 50 = -2*k, -k - 5*u + 25 = 0. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 12*b. Let l(i) be the second derivative of 17*i**4\/6 - 3*i - 51. Give m(l(u)).\nAnswer: 408*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46.8 - 47. Sort -0.1, x, 1\/5 in ascending order.\nAnswer: x, -0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18171, -34295, -50419?\n\"Answer: -16124*c - 2047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.1 (c) 4 (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/2 + 308\/22. Let x be h\/(-34) - (-33)\/74. Sort -1, -3\/7, x.\nAnswer: -1, -3\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3652.\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126 and 210.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39*72\/5460*(-5)\/(-1)?\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 10. Let d(t) be the first derivative of 1\/3*t**3 + 0*t**4 + 2 + u*t + 0*t**2 + 1\/6*t**6 + 0*t**5. What is the third derivative of d(s) wrt s?\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 184\/276781 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7532 divided by -1883\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 130 - 7564456?\nAnswer: -7564326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n**2. Let k(u) be the second derivative of -37*u**4\/4 + u**3\/6 + 1097*u. Calculate k(d(h)).\nAnswer: -1776*h**4 + 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + f - 1. Let y be d(1). Let z(o) = o**3 - 8*o**2 + 2. Let l be z(8). Suppose -l = -a - y. Solve 24 = -3*c + 4*u, -2*u - a = c - 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18+-348297.72\nAnswer: -348315.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126.8*-40287.\nAnswer: 5108391.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*c - 1690 - 500 = 37*c. What is the highest common divisor of c and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*b**2 - 1522 - 171 + 804*b**2 + 812*b**2 wrt b?\nAnswer: 3198*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - s - 3*s)*(s - 1 + 2 - 2) - 2*s**2 - s + s + 0*s**2 - 3*s**2 + s**2 - s**2 + 2*s - 2*s + (s + 0 + 0)*(0 + 2*s + 0).\nAnswer: -5*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3898 = p, 13*p = 8*p + 10. What are the prime factors of z?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3330432 and 38409?\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 21*w - 1 + 1.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + 10111111011?\nAnswer: 11000000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k + 13. Let g(a) be the first derivative of 0*a - 4\/3*a**3 + 0*a**2 + 150. What is g(i(r))?\nAnswer: -16*r**2 - 208*r - 676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -5744, -0.3, 4, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - c**2 - 4*c)*(668*c - 1219 + 1219) - 2*c**3 + c**3 + 6*c**3.\nAnswer: -663*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*u - 48 = 0, n + 120 = u + 116. Which is the smallest value? (a) n (b) -0.67 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 87.5951nm?\nAnswer: 0.0000000000875951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -792*v**4 + 263*v**4 + 259*v**4 - 135*v + 268*v**4 + 2*v**2 to q*v**4 + h*v**2 + i + c*v**3 + t*v and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87763 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.381 times 0.4?\nAnswer: 2.1524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27504 (base 12) to base 15.\nAnswer: 11147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 25816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25242 and 4046?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1110110 (base 2) to base 13\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 10*w - w. What is the highest common divisor of 55 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-285)\/(-3610))\/(9\/(-6)).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + u**2 + 33*u - 15. Let l be p(6). Suppose -3*k - 3*o + 9 = -2*o, 5*o - 7 = 4*k. Suppose 0 = -k*i + 2 + 2. Solve -l*w = -i*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 5*k - 31. Let l be m(7). Let t be (-2)\/l - 7\/(-10). Factor -1\/5*b**5 + 2\/5*b**4 + 0*b**2 + 0 + 0*b - t*b**3.\nAnswer: -b**3*(b - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 0)*(f**2 - f**2 + 3*f**2) + 536*f**2 - 1471 - 105*f**2 + 1471.\nAnswer: 437*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 5*n + 24. Let c be (0 + 4\/8)\/(2\/(-24)). Let t be i(c). Let d be (4 + (-8)\/3)\/(2\/t). Sort 3, 5, d in descending order.\nAnswer: 5, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(4) - sqrt(24)\/sqrt(150)) - sqrt(10)\/(sqrt(2) - (sqrt(162) - 4*sqrt(162))))**2.\nAnswer: 1445\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 8\/6)*(792\/64 + -12). Let f(n) be the first derivative of -1\/5*n**3 + 1\/25*n**5 - 18 + 1\/20*n**4 - 2\/5*n - t*n**2. Factor f(c).\nAnswer: (c - 2)*(c + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 2*x - x - 125, 2*o - 40 = 4*x. Factor -58*m**5 + 30*m**5 + 2*m**4 + o*m**5.\nAnswer: 2*m**4*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -18387*t**2 - 9*t - 821. Let x(d) = -9210*d**2 - 5*d - 410. Let v(b) = -5*g(b) + 9*x(b). What is the first derivative of v(q) wrt q?\nAnswer: 18090*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21.9 - 22. Which is the closest to 3? (a) w (b) 2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*k**2 + 307*k**2 - 150*k**2 - 240*k**2.\nAnswer: -244*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*h - 393507 + 221127 - 428726 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u**3 - 2*u + 2. Let q(h) = -66*h**3 - 27*h + 27. Determine 54*d(i) - 4*q(i).\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.713 + -396.187. Let x = d - -377. Let k = x - -28.9000263. Round k to six dps.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*c - 76*c + 12 = -f, 0 = -c - f - 9. Put -7, c, 2, -2, 121 in increasing order.\nAnswer: -7, c, -2, 2, 121","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 141*((-8)\/8 + 0). Let r be (8\/(-18))\/((-30926)\/s). Is 1 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1625\/3 + 542. Which is the fourth smallest value? (a) -4 (b) -0.2 (c) h (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*h - 48990 = 11525. Suppose -4*c + h = 225. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.19 - -0.19. Which is the second smallest value? (a) -1\/32 (b) 3 (c) n (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -70365.\nAnswer: -70364.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**3 + o**5 + 4*o**3 - 5*o**5 + 2*o**5 + o**5 + (-2*o**4 + 2*o**4 - 2*o**4)*(0 + 0 - 2*o) + 67*o**4 - 67*o**4 - 5*o**5.\nAnswer: -2*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 + 8*y**2 - 4*y + 7. Suppose -145 = -5*t - 5*p, p - 5*p = 0. What is the remainder when i(-7) is divided by t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyysys. Give prob of sequence yss.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -1 + -13 + (-3 + 1 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 - 78 - 32*b + 30.\nAnswer: -32*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 1421\/4 (c) 1\/2 (d) 82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence inn when three letters picked without replacement from qiplinrrqilnlqrnlnir.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 8*h - 20, 13*j = 9*j - 48 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 168696 - 112079. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 119479072?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -205169 * 0.5.\nAnswer: -102584.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6811, -13627, -20445, -27265?\nAnswer: -34087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6171*k**2 - 6369*k**2 + 12345*k**2.\nAnswer: -195*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-364)\/(-156))\/(6\/3*77\/(-1122))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.017 - 5.017. Let g = -10 - a. Let w = 3 + g. Which is smaller: -7 or w?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -11338?\nAnswer: -11334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -1. Suppose 3*j = 31 + q. Let b be 3\/j + (-188)\/(-24) + -3. Solve 0*i - 10 = b*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -114*n**2 + 233*n**2 - 120*n - 122*n**2 - 48*n as i*n + c*n**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 7*r - 5*r = 26, 5*r = 15. Calculate the highest common factor of w and 404.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**2 - 6. Let m(l) = 2*l**2 + 2*l - 2. Let o(s) = 5*s**2 + 10*s - 10. Let c(f) = -5*m(f) + o(f). Determine c(u(i)).\nAnswer: -45*i**4 - 180*i**2 - 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*v = 4958 - 4942 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + (((-160)\/24)\/10 - (-84)\/(-9)). Put -2, 5, -78, 0, t in increasing order.\nAnswer: -78, t, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 11. Let y be (5 + 5)\/(2\/s). Let n be 0 - 3*y\/6. What is the highest common factor of 20 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -2, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 13*m**2 + 32*m - 15. Let u be r(15). Let a = -1 + u. Suppose 10*w = a*w - 584. Is w a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-123)\/39 - -3) + (-63)\/(-156). What is the nearest to 0 in v, 0.3, -63, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.05, 0.02, 5\/4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(440)\/(sqrt(100)\/sqrt(640) + sqrt(10)).\nAnswer: 16*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*t - 300*t + 4*u - 4 = 0, t + 3 + 1 = 3*u for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 36 = i, 5*o + 27 - 2 = 0. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3211311123 (base 4) to base 10.\nAnswer: 941403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 149197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2149*m*u**2 + 757313*m*u - 9*u**2 wrt u?\nAnswer: 4298*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1903821 or -1903852?\nAnswer: -1903821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, -10, -76, -220, -472, -862, -1420?\nAnswer: -2176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2*-0.02.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.03 (b) 2.5 (c) 0 (d) 1\/3 (e) 2 (f) -4 (g) -1\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*z + 36*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*c - 1 - 87 + 922*c - 91.\nAnswer: 978*c - 179","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 778 a factor of 448201132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -4456\/39 smaller than -114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 69908*g + 69906. Calculate s(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*n**2 - n**2 + 23*n**2)*(22*n**3 + 7 - 7).\nAnswer: 682*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 5. Let v be n(-6). Let m be (-5)\/(-10)*(1 + v). Let i(y) = 5*y**2 + 2*y - 1. Calculate i(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -377785.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a51b64a7 - 0?\nAnswer: -3a51b64a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 10:35 PM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 - 5*i**2 + 5*i. Let t(c) = -c**3 - 2*c**2 + 2*c. Let y(l) = -3*p(l) + 7*t(l). Let f be y(0). Let g(z) = -z**3 - z + 21. Give g(f).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1505915164.\nAnswer: 2, 13, 28959907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c - 1. Suppose 9 - 29 = -4*s. Suppose s = -3*k - 22. Let i(h) = 13*h - 5. Calculate k*x(p) + 2*i(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 1:57 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**0)**13\/(a**(2\/17)*a**(-2\/5)\/a) assuming a is positive.\nAnswer: a**(1214\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/16*(-130)\/1755*-72.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13112151?\nAnswer: 3, 13, 17, 19777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m - 1106 + 152 = 0. Let p = 83 + m. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 1)\/(1*-1). Let t = 0 + 0. Suppose 5*r - i - 14 = t. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 38*a**2 + 4*a + 1. Let m(i) = 37*i**2 + 3*i. Let z(w) = 3*g(w) - 4*m(w). Find the first derivative of z(s) wrt s.\nAnswer: -68*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 0, -16, -34, -54, -76, -100, -126?\n\"Answer: -h**2 - 13*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 30 = 6. Let c be (-14 + w)*(1 - 2). Is (3 - c)*22 + 0 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -827*b**4 - 4*b**3 - 362*b. Let q(w) = -1654*w**4 - 7*w**3 - 723*w. Let p(v) = -7*c(v) + 4*q(v). What is the second derivative of p(f) wrt f?\nAnswer: -9924*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y - 8. Let u be v(0). Suppose 6 = 4*w - 3*p - 8, 4*w = -p + 22. What is the tens digit of u*(25\/(-2))\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33301 or 33158?\nAnswer: 33301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41250 by 275.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -192? (a) -0.1 (b) -2 (c) -343\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*n*t**4 - 311*n*t**3 + 2*n*t**2 - 7*n*t - 4*n - 21*t + 1 wrt t?\nAnswer: 84*n*t**2 - 1866*n*t + 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -24. Let d be ((-6)\/5)\/(v\/10). Let z = 6 - 2. Which is the biggest value? (a) -1 (b) d (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = 14*n + 34 - 83 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2 + 8 = 0. Let t be (18\/(-63))\/((-1)\/7). Suppose t*c = 19 - z. What is the remainder when 22 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4 + 21*a**3 + 42*a**2 + 24*a.\nAnswer: 3*a*(a + 1)*(a + 2)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33253595.\nAnswer: 5, 563, 11813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**5\/60 - n**4\/12 - 2*n**3\/3 - 3*n**2. Let a be w(-2). Let z = 30 - 27. Sort a, -0.3, z in descending order.\nAnswer: a, z, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in 2\/5, -24.392, 0.2?\nAnswer: -24.392","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (168\/(-140))\/(3888\/240).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(2*v - 2*v - v**2) + (v + 1 - 1)*(-2 + 2 - v) - 4*v**2 + 15*v**2 + 3*v**2 - 3*v**2 + 2*v**2 - 7*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 i, and 1 q when three letters picked without replacement from neilneiq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (54\/36)\/((-1)\/(-10)). Suppose 16*b - g*b = 4. Solve -2*a = -2*d - 2, -5*d - 4 = b*a + 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*t + 151 = -648 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 47659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-189)\/(-14) + -16)\/((-5)\/34).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-17)\/(-52))\/((693\/(-14))\/(-11)) and 23\/18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-84)\/56 - (-228)\/120)*-30.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1130, -0.16, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1883 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1601\/357112?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24633.\nAnswer: 3, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141 (base 7) to base 12.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 8. Let w be ((-20)\/1 + 0)\/(-2). What are the prime factors of (f\/w)\/(1\/(-35))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1068506403 and 283.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/103? (a) 0.2 (b) -3\/16 (c) 11\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 9 = -5*b - 62, -o - 2*b + 25 = 0. Let s be 390\/o - 3\/(-7). Solve 23 = -k - 4*d, -k - 2*d - s = 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*a**4 + 4*a**4 + 18*a**4 + a**2 + 9 - 11 + 13*a**3 + a**2 to x*a**4 + l*a**3 + t*a + z*a**2 + b and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -8\/59, 0.4, -4, 1\/5, -9?\nAnswer: -8\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -j**6\/120 + 2*j**5\/15 - j**4\/2 + j**3\/3 + 14*j**2. Let l be m(5). Solve -4*g = 7*i - 2*i - 31, -5*g + l = -i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*y**3 - 7*y**3 - 7*y**3 + (-5*y + 3*y + y)*(3 - 3*y - 5 - 2)*(5*y + 0*y - 2*y) to the form z*y**2 + m + p*y + t*y**3 and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + -26. Let m = -30 - v. Calculate the highest common factor of m and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129557141.\nAnswer: 7, 1123, 16481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6087 is divided by 613?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 217?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 10:12 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60 by -27.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 5*x**2 - 10*x - 86. Let l(a) = -14*a**2 + 29*a + 260. Let q(t) = 11*b(t) + 4*l(t). Let p be q(-7). Solve -p*v = 2 - 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q. Let k(f) = -56230*f - 159. Determine p(k(h)).\nAnswer: -56230*h - 159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 - 0. Let h = 132 + -131.9. Suppose -d = 3*d. What is the second biggest value in x, h, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.3218166 to 2 dps.\nAnswer: -3.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -27. What is the units digit of 19\/114 + (-298)\/i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50873?\nAnswer: 50873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*s + 39*s + 7*s.\nAnswer: 30*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -23. Suppose l = 4 - t. Suppose b + 0*b + a = l, -3*b + a = -15. Solve -3*z + 3 = b*j, 4*j = -2*z - j - 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 + 61 - (1 - 4 - -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 b when four letters picked without replacement from bppwwwwppbwpwpwpwwww.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12860 or 12917?\nAnswer: 12917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8561\/355 or 25?\nAnswer: 8561\/355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, a: 1, e: 10}. What is prob of picking 1 a and 1 e?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, b: 1, m: 1, t: 1, g: 1}. Give prob of sequence mtf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/7 - 1\/7. Let o = -66 + 65.8. Let k = 4.8 - o. Sort -0.2, y, -0.1, k in descending order.\nAnswer: k, y, -0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 31 = 4*p, -2*p - 9 - 8 = -5*t. Let m(i) = 3 - 8 - 120*i - 1 + p. Let o(x) = -x**2. What is o(m(y))?\nAnswer: -14400*y**2 - 480*y - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -62472.993 to the nearest 10.\nAnswer: -62470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103509 = 177*q + 536*q + 889*q + 41*q for q.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -63.11?\nAnswer: -6.311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tooo. Give prob of picking 1 o and 1 t.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -368265480 and 893078?\nAnswer: 369158558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j**2 - 3*j**2 + 5*j**3 + 6*j**2 + j to f*j**2 + i*j**3 + x*j + a and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 3*f - 1. Let i = -2 + -1. Let v be p(i). Which is greater: 4\/9 or v?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 0. Suppose 5*a - 12 = 4*m + 7, 0 = x*m - a + 29. List the prime factors of 5*1 + (m - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7856917 rounded to the nearest one thousand?\nAnswer: 7857000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.39 + 0.01. Let m = -17 + 19.2. Let j = -0.2 + m. Sort i, -5, j in descending order.\nAnswer: j, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 1251 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24794 and 4092?\nAnswer: 4611684","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10 - 734391*y**2 + 734382*y**2.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-325)\/(-52) + -2*1\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*p**2 + 4)*(-27 + 27 + 4*p) - 1 - p**3 + 6*p**3 - 3*p**3.\nAnswer: -6*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24651 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/7)*y\/(y\/(y\/(y**(-2\/17)*y*y)*y))*y**(-5)\/y**0)**(-48) assuming y is positive.\nAnswer: y**(30336\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/145 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/(-4))\/((-3)\/(-12)). Let r = f + -2. Let o(n) = -2 - n**2 + 6*n + r*n - 4 - 4*n. Give o(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -9*g - 4 - 3 + g**2 - 4*g**2 + g**2. Suppose -5*w = 133 - 163. Suppose -w*r + 12 = -8*r. What is b(r)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(-35 + 3 + -6). Is -112\/3 < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/200 + 899\/200. Let f = 39\/10 - h. Let d = 3 + 0. Sort d, 1, f.\nAnswer: f, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/14 + 2*1. Let j = 0.1 + -0.29. Let h = -0.01 + j. Which is the closest to -0.1? (a) v (b) h (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*d + 3623 + 2174. Let r = d + 343. Solve 2 = f - r*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 75551 and 903?\nAnswer: 226653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*(-13)\/(-1))\/((-21)\/54*9).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1097 + 1096.78912. Let i = w - -0.21. What is i rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 499 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x - 27 = 7*x - 3*d, x + 6*d = 75 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 23*f - 16. Does 2 divide d(-24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50 by -50.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-4)\/(24\/(-30)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 95619286 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4350*d**2 - 27955*d + 27955*d - 367*d**2.\nAnswer: 3983*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1242 + 1247. Solve -b*j + 8*j + 35 = -4*h, 3*j - 4*h = 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find b such that -20\/7*b - 2\/7*b**2 - 50\/7 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8023684, -7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m**2 - 90*m - 158. Give u(19).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssc when three letters picked without replacement from rwsyscbbr?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.1 + -11.1. Let s = -9.2 - z. Which is bigger: 0.3 or s?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 10*b**2 + 3*b + 23. Is k(10) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/30)\/(20\/((-400)\/(-12))).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 6\/(-10))*-1. Suppose 6*h - 2 = 4*w + 3*h, -h = -2*w - 2. Let s be 15\/20 - w\/(-24). Which is the closest to s? (a) t (b) 0.4 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*t**2 + 11 - 17 + 6.\nAnswer: -70*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0 = -5*n + 3, 0 = -5*n - 5*r - 5. Are -18 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1347, 2802, 4267, 5748, 7251, 8782?\n\"Answer: q**3 - q**2 + 1451*q - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**4\/4 + 5*w**3\/3 + 1. Let l(b) = 2*b + 3. Let d be l(-4). Let t be x(d). Solve t = 4*s + 5 + 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**4 - 170*h**3 - 4520*h**2 + 9530*h - 4845.\nAnswer: 5*(h - 51)*(h - 1)**2*(h + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 10 + 4. Suppose 20 = 5*c + 5*j, j + j - 8 = b*c. Let x(v) = -v**2 - 9*v - 23. Let o be x(-4). Sort -4, o, c in decreasing order.\nAnswer: c, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75444 + -52551. Is r a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) 45 (b) -39\/4 (c) -10\/3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 2:28 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + z**2 - 2*z + 1. Let m = -3 + 5. Let t be y(m). Let g be 135\/(-2)*((-68)\/(-10) + -8). Calculate the greatest common divisor of t and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-83 - -83) + (1 - 3) + 2 + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 789 or 0?\nAnswer: 789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8962279 millilitres in litres?\nAnswer: 0.0008962279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i = 2*z - 180, 84 - 83 = -z for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (9\/12)\/(-3)*(-8)\/8\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 + 11*v - 7. Let m be s(-5). Let x = 79 + m. What is the highest common divisor of 21 and x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/9? (a) 0.2 (b) -102 (c) 2 (d) 2\/33 (e) 2\/9 (f) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 46 + (-2)\/(2\/3). Let w = -30 + s. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.775 * 3322\nAnswer: -5896.55","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x - 23. Let f be z(20). Is 2 - (1 + 97934)\/f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 857*d - 1702. Let m be x(-2). Solve -z + 43 = -m*u - 2*z, 3*u = -z - 13 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 11*q + 21988. Give o(143).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1995, -2008, -2025, -2046, -2071?\nAnswer: -2100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 71259 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366 + 82 = -4*b. Let v = -67 + b. Suppose -n = -v*f + f + 49, -4 = 4*n. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/(((-510)\/(-5202))\/((-140)\/(-4)))\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(3\/5)\/m)\/m*m)\/m*(m**(1\/33)*m)\/m assuming m is positive.\nAnswer: m**(-226\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -1. Suppose 0 = -r + c, -4*g + 30 = 5*r + 5. Suppose 21 = g*n + 1. Solve q + 0*q + 2 = n*t, -t = -4*q - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1145 and 75.\nAnswer: 17175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u**3 - u**2 - 10*u - 4. Let n(t) = 2*t**3 + t**2 + 9*t + 3. What is 4*j(w) + 5*n(w)?\nAnswer: -2*w**3 + w**2 + 5*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2331091061?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*n + 150 = 0, 0 = -5*g + n + 11 + 180. Let w = 201 - g. Does 20 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a kilogram in grams?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17, -16, -13, -8, -1?\n\"Answer: h**2 - 2*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -0.02952, -4.27?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**3\/6 + 4*g + 7. Let q(i) = 26*i**2. What is p(q(n))?\nAnswer: -26*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 8:02 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + (-80)\/(-28))*-2. What is the biggest value in -5, c, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**2\/3 + 281696*h - 89556856\/3 = 0. What is h?\nAnswer: 106, 422438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((156\/(-66))\/(-13)*88\/28)\/(7\/(-196))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, e: 2, c: 1, h: 7, x: 4}. Give prob of sequence xcef.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -1282*z - 3844. Let k be m(-3). Let w = 0.01 - -0.12. Let u = 0.09 - w. Which is the second biggest value? (a) k (b) -2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 262 - 230. Let m be (1\/(-2))\/(1\/(-16)). Calculate the highest common divisor of m and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: 83 + (2 - 0 - 0) - (-13 - -23)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 23446531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wewx when four letters picked without replacement from {w: 2, x: 3, m: 1, c: 1, d: 1, e: 4}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*i + 10. Suppose 189 = -5*f + 49. List the prime factors of f\/i + (-12)\/18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2205013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 15. What are the prime factors of y(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4177, -4014, -3743, -3364, -2877?\n\"Answer: 54*o**2 + o - 4232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/2667 and -119\/3048?\nAnswer: 21336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -11 + 14. What is the third smallest value in 2, 0.3, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 7:51 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8834 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 79915 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-78)\/(-286)*3960\/40\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2223 and 17499209.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k - 57961 + 12146 = 0. Calculate the remainder when k is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = a - 0*l + 8, -4*l + 30 = 5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18634 and 154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 1 = 4*a, 0 = 5*x - 2*a - 0*a + 45. Let n = x + 19. Let w = 14 - n. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 19?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of d**4\/4 - 2*d**3 + 3*d**2 - 3*d - 13. Determine u(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2844 and 12564.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -5 (b) 3 (c) -299\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/210 - (0 - (-8)\/42). What is the closest to 2\/9 in 0.4, 3\/4, s, -3.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 552*l - 551*l + 4*a = -16, 2*a = -5*l + 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 408 and 25636?\nAnswer: 153816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -202, -2\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/17)*g**(-1\/15))\/(g**(-2\/15)\/g**(2\/11)) assuming g is positive.\nAnswer: g**(1027\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12*(-1)\/2)\/2. Suppose -2*o - 5 = t*o. Which is the nearest to 2? (a) 0.5 (b) o (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 13*w**2 + 9*w - w - 14*w. Does 13 divide h(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 7405*r - 10. Let m(t) = 22275*t - 28. Calculate -17*g(h) + 6*m(h).\nAnswer: 7765*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 577644706?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 35*z**2 - 614*z - 5461. Calculate the least common multiple of 200 and b(-9).\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 100 - 96. Let l be 2\/(-5) + 231\/15. Suppose 3*h = -0*h - l. Sort d, h, -3.\nAnswer: h, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of y**7\/1260 + y**6\/18 + 41*y**4\/8 - 106*y**2. Let p(c) be the second derivative of z(c). Find f, given that p(f) = 0.\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7792?\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9252 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -9*i**2 + 9*i. Let d(c) = c. What is 45*d(u) - 5*n(u)?\nAnswer: 45*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**2 + 2*d + 3. Let i be y(3). What is the greatest common factor of 90 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-17)\/((-5355)\/120)*9?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -1\/2*y**3 + 0*y**5 - 1\/20*y**6 + 0*y**2 + 3\/8*y**4 + 0 + 15*y. Factor z(g).\nAnswer: -3*g*(g - 1)**2*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-3))\/(18\/(-189)). Let o = 25 + i. Let q be ((-320000)\/6)\/(o\/675). What is q rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*x = -2466, -16*x + 2421 = -2*m - 21*x. Let o = -616 - m. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32766*-2.6.\nAnswer: -85191.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34*f**5*r**2 + 118*f**2*r**2 - 1740*f*r**2 + 15*f wrt f.\nAnswer: -680*f**3*r**2 + 236*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2902 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: What is the biggest value in -0.4, 5, -8, -4, 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 7:33 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1533281501688 minus -12?\nAnswer: 1533281501700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**2 + 10199. Let x(j) = j. What is r(x(y))?\nAnswer: 4*y**2 + 10199","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7675 - -191908\/25. Let f = -2302\/31 + 111473\/1550. What is the common denominator of g and f?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9\/445 + -2857\/445. Which is the smallest value? (a) o (b) 1 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 488?\nAnswer: 2440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w. Let j(c) = -c**2 + 4*c. Let z(g) = g**2 - g. Let s(b) = -j(b) - 4*z(b). What is s(x(q))?\nAnswer: -75*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**3 - 54*o**2 - 3*o**3 - 57*o**2 + 111*o**2 + 6*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 59525165 and -97.198?\nAnswer: 59525262.198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7163*x - 7495*x = 26228 for x.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 4, q - 4*q + 4*p + 16 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a + 6 - 3 + 10 + 5*a. Let c be t(10). What is the third derivative of 7*j**2 - 18*j**4 + c*j**4 - 9*j**4 wrt j?\nAnswer: 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1234282 or 1234281?\nAnswer: 1234282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -33b505 (base 12) in base 2?\nAnswer: -11001010010000010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 41 = 3*u - 12, -2*u = -q + 18. Is (-4 - (u + 5))*-182 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 474*i + 2840. Let w be h(-6). Let s(q) = q**2 - q + 1. Let y(z) = -z**3 + 7*z**2 - 4*z + 6. Give w*s(d) + y(d).\nAnswer: -d**3 + 3*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 18273696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-5) - (13 + -20 - -3)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*c**3 - 59*c**3 - 49*c**3 - 68*c**3.\nAnswer: 29*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/3*(-78)\/(-20)*5. Let x(b) = -b + 15. Let y be x(r). Is y at least -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 2. Let v be m(3). Suppose 0 = 2*z + v*z - 14. Let n be (-12 - 3)*(-2)\/3. What is the greatest common factor of n and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 726410 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 133 - 137. Let r = o + 33. Calculate the remainder when r is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + sqrt(88)\/(sqrt(48)\/sqrt(6)) + -2 + sqrt(55)\/sqrt(5).\nAnswer: -2 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 386460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-9))\/2*(-867)\/(-1156)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -74253, -74787, -75309, -75813, -76293, -76743, -77157, -77529?\n\"Answer: c**3 - 541*c - 73713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, h: 1, t: 1, a: 1}. What is prob of sequence te?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -1074*z**2 - 2*z - 1001*z**2 + 1982*z**2 as f + y*z + r*z**2 and give r.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 509, 4, -5, 2 in increasing order.\nAnswer: -49, -5, 2, 4, 509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13\/5 in 0.0471, 2, -1.5, -4?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 396 + -208. Suppose 0 = 16*n - 28 + w. Let b(l) = l**3 + 9*l**2 - 11*l - 13. Give b(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8885.0224 - 8877. Let o = -8 + j. Round o to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 44, -5, -98, -241, -440, -701, -1030?\n\"Answer: -g**3 - 16*g**2 + 6*g + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**5\/20 + y**4\/4 - y**3\/3 - 3*y**2\/2 + 313*y. Let u = -45 - -48. Calculate c(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87.48 + 87.469385. What is l rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 6:01 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4441 + -2270?\nAnswer: -6731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -18*s**3 - 12*s**2 - 3*s + 1. What is the tens digit of d(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 4 + 4)*(3*m**2 - 6*m**2 + 2*m**2)*(3 - 3 + m**3).\nAnswer: 6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -8*u + 34. What is the remainder when g(-9) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 646.73?\nAnswer: -646.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + 2*f - f)*(-853 - 810 - 842 - 74*f + 2542) in the form a*f**2 + p + x*f and give x.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c*g*h**2*v**3 - 1010*c*h**2*v**3 + 7*g*h*v**2 - g*v**3 + 2*g - 3*h**2*v**3 - h*v wrt c.\nAnswer: g*h**2*v**3 - 1010*h**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 10:54 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n - 4. Let d be j(-9). Suppose 2*q + 5*y = -2*q + 89, 5*y = d*q - 55. Solve 2*v + 0*h - q = -2*h, 4 = -v + 3*h for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 58 = 4*g, 40 = 3*o - 0*o - 5*g. Calculate the remainder when (39 - 34)*(-1)\/(o\/(-62)) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 23, 86, 193, 350, 563, 838, 1181?\n\"Answer: a**3 + 16*a**2 + 8*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -767 - 225 = -73*j + 1052 for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -54*m**4 + 157*m**3 + 93*m + 185*m**3 + 19 - 27*m**5 - 17 - 12 - 155*m**2 - 141*m**2.\nAnswer: -(m - 2)*(m + 5)*(3*m - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 2:05 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 6:32 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00064575 to five decimal places.\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.415924549 and -539.\nAnswer: -538.584075451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 240*r + 32. What is the tens digit of p(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*t - 3 = -5, -m - 5*t - 8 = 0. Let f = m + 5. Suppose f*c + 18 = 5*c. Solve 0 = -2*b + 4*x - c, 0*x = -2*b + 3*x - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4961 - -0.0815. Let f = -0.52 + b. Round f to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -620, -1763, -3500, -5831, -8756?\nAnswer: -12275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -5*h**2 + 4047850*h + 4047855 = 0?\nAnswer: -1, 809571","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**2 - 6*o - 5. What are the prime factors of m(-8)?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2. Let m(k) = 12726*k. Give m(u(t)).\nAnswer: 12726*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -5\/2, 6.2, -2\/7, -8, -0.1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 9*k + 73. Let c be v(-12). Calculate the greatest common divisor of c and 333.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -1. Let q = h + 4. Let x = -5 + 22. Let l(v) = -20*v**3 - 11*v - 17. Let r(z) = 7*z**3 + 4*z + 6. Determine q*l(a) + x*r(a).\nAnswer: -a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1676\/3*g**2 + 56\/3*g**3 + 1944 + 2016*g + 1\/6*g**4 = 0. Calculate g.\nAnswer: -54, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1710 and 129618.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from byybb?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 1220*f + 278. Is j(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.290359 from 6944543.\nAnswer: 6944544.290359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*c - 1. Let x = -2\/7115 - 14012\/775535. Does x = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381582.5 millennia in months?\nAnswer: 4578990000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, s: 2, o: 5, b: 2, f: 1, e: 2}. What is prob of picking 1 s, 1 w, 1 b, and 1 e?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 - -3. Suppose 4*z + 37 = 4*p + p, -5*p = z - a. Suppose 5*f - 2*f + p = c, c + 4*f - 37 = 0. Calculate the remainder when 40 is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-3)\/(-72))*(-6)\/(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 10*o**2 + 19*o + 39. Is h(-20) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**2 + 21*a + 28. Let b be 6 + (-16)\/2 + 30\/(-2). Is t(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6525 and 10419885.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111 divided by 3.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, a: 17}. Give prob of picking 2 a.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 20*s + 1. Give d(-5).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2622902 to the nearest integer?\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 w when two letters picked without replacement from {g: 1, d: 1, w: 1, j: 1, b: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**11\/(p*p**38)*(p*p**(-30))\/p**(-2\/71) assuming p is positive.\nAnswer: p**(-4045\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 80 + -40 - (-1 - 7) - 17\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 0. Suppose 4*h - 8 = 8*h. Let v be (1\/(-12))\/(h\/9). What is the nearest to -0.01 in 1, v, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.689859us in nanoseconds?\nAnswer: 6689.859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*b**4 + 6214567*b**2 - 2236807*b - 2 wrt b.\nAnswer: -84*b**2 + 12429134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 21?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 f when three letters picked without replacement from fedefdfdeeddd?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -7. Let d = -11 + 11.4. What is the second smallest value in u, d, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78284 divided by 4.\nAnswer: 19571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and -1.3?\nAnswer: -14.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 50 = 50. Suppose i*p - 3*g = p - 171, 10 = -5*g. What are the prime factors of p?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 409282524 and 1512?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c**2 + 165*c - 3217. Calculate n(19).\nAnswer: 1723","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 13) to base 2\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (173 - 2) + 1 + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -246 - -529. What is the remainder when j is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42804008*n**3 + 47922269*n**2.\nAnswer: -256824048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (104\/208)\/((-10)\/2)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(1\/(-3))*1. Let a = 4 + y. Suppose a*g = 5*g. Round g to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6388 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one fifths of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 10, -17, -2 in descending order.\nAnswer: 10, -1, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 29 = 2*n - 32, 3*n - 84 = 3*x. What is the remainder when n is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssssisssii. What is prob of sequence sii?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 4314.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 1. Let x(i) = 2*i + 5. Let w be x(-4). Let c be o(w). Suppose 5 = c*b - 27. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1206, 1232, 1304, 1446, 1682, 2036, 2532?\n\"Answer: 4*c**3 - c**2 + c + 1202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 635267 is divided by 98?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-23))\/x)\/(x*x**(2\/9)))\/(x**29*x**(6\/13)\/x) assuming x is positive.\nAnswer: x**(-6164\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*x + 71*x - 6 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k + 91. Suppose 2*y = -2*a - 60, 41*y - 180 = 5*a + 36*y. What is g(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -26691, -26688, -26683, -26676, -26667, -26656?\n\"Answer: i**2 - 26692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (-2 - -1)*-13. Suppose -4*t = -3*t + f. Let y = 17 + t. Solve -4*r + 27 - y = -2*z, -4*r + 4*z = -28 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 356001*q**3 - 12278841?\nAnswer: 1068003*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1352 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 4:05 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112255067?\nAnswer: 61, 109, 16883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*42505591.\nAnswer: 4250559.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 14. Let j be s(12). Suppose 5*r + d - 60 = 7, -j*d = -4. Calculate the remainder when 23 is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 7682*w**2 - 339*w - 1019. What are the prime factors of a(-3)?\nAnswer: 2, 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + -2*sqrt(36)\/(sqrt(12) - sqrt(144)\/sqrt(3))*-5 + -1).\nAnswer: -40*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1*-1 - -1168) + 0. Let v be 164\/(-902) - (-202)\/22. Is (c\/v)\/(4\/12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 12*h - 11. Let v = 554 - 553. Calculate n(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f - 6. Let z be u(6). Suppose -s - 5*k = -0*k - 20, -3*s - z = -3*k. Solve 2*w - 4*r = 10, 3*w - r = -s*r - 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0.3 (c) -0.1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4742\/3 - -1602. What is the common denominator of 7\/18 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80189645479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*z + 140 = 103*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, 12, 48, 88, 126, 156, 172, 168?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i - 7. Let w be q(5). Suppose -2*x = 4*f - 6, 0*x - 2*x + w = f. Let h be 26\/(-168) - f\/(-4). What is the biggest value in 3, h, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 81341153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 153558 divided by -18\nAnswer: -8531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -114 + 116. Solve -t*c + 4 = -4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 268 - 3?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3332 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 505065 minus 541913317?\nAnswer: -541408252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + (-52 + (13 - -60) - (1 + 8))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 - -79. Let k = 33 - q. Let d = k + 14. Which is the closest to 0.1? (a) 5 (b) d (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 496 (base 11) to base 2.\nAnswer: 1001001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 5)*(-3*r**4 + 4*r - 4*r) - 4*r**2 + 2*r**4 - r**4 + 2*r**2.\nAnswer: -2*r**4 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) -1 (b) 0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-1490)*(-4)\/6. Let j = 11183\/2980 + o. Calculate the common denominator of j and 85\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**6\/120 - 2*k**5\/15 + k**4\/3 - k**3\/2 + 11*k**2. Let m be j(7). Solve t - m*x - 11 = -x, -4*x - 20 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(19) + -2 + (sqrt(1900) + 1*sqrt(1900))**2 + sqrt(1900) + sqrt(1900).\nAnswer: 21*sqrt(19) + 7602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3999067 and 11?\nAnswer: 43989737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/697827 and 93\/10.\nAnswer: 6978270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyqeeqkcqyq. What is prob of sequence eyc?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 6*c**2 + 123*c - 67. Give p(-16).\nAnswer: 525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g. Let c(o) be the second derivative of -1\/2*o**3 + 14*o + 0 + 0*o**2. Calculate c(x(i)).\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -25, -882, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -100*j + 6035. Let p(o) = 2*o**2. Give r(p(k)).\nAnswer: -200*k**2 + 6035","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 6*n - 162. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 81 and 89289.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5757 <= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1210201 (base 3) to base 7\nAnswer: -3556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-4\/3)*r)\/r*r**(-4))**50 assuming r is positive.\nAnswer: r**(-650\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 9*y**2 + 12*y + 18. Let z be b(7). Let x = 3 - -2. Suppose 2*t - z*i = 199 - 53, -x*t + 5*i + 375 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3296476 divided by -2?\nAnswer: 1648238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 8:13 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/(-4))\/((-4)\/(-96)). Let t be (-4)\/5*q\/2. What are the prime factors of (t\/10)\/(15\/350)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -512, -552, -618, -728, -900, -1152?\n\"Answer: -3*a**3 + 5*a**2 - 34*a - 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*s - 226*s**2 - 218*s**2 - 20 + 99*s + 667*s**2 - 204*s**2.\nAnswer: 19*s**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -3.6 (c) -120.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 91022 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.48 + 0.08. Let j = -1 - 140. Let x = j + 148. Is x >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32 - -27) + 1 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15005 is divided by 835?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-2) + 14\/(-8)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 8*f**3 + 0 - 60865*f**2 + 60865*f**2.\nAnswer: 8*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 23*x - 67 = -309. Put 2, -3, x, -5 in descending order.\nAnswer: x, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 28 = -z, 0*v = 2*z - v - 63. What is the smallest common multiple of z and 8?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1021\/3 + 342. Sort u, 0.4, -2\/7 in increasing order.\nAnswer: -2\/7, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/278 - 565\/834. What is the third biggest value in l, 13, 1\/2, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 255, 2658, 9179, 21876, 42807, 74030, 117603, 175584?\n\"Answer: 343*s**3 + s**2 - s - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 1. Let t be l(-1). Let o = 1 + t. Which is smaller: o or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -247*z - 59687. What is m(-241)?\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/28 of a week?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -0*r - r + 206, 2*k = -2*r + 140. What is the remainder when k is divided by -12*(4\/(-10) + 3\/(-5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - 1 - (1 + -2). What is the first derivative of c**z + 0 - 4 + c**3 wrt c?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1351*t - 140 = -1350*t + 2705*t for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3200 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 5*y**2 + 25*y + 13. Give g(7).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20024 and 29482837.\nAnswer: 2503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440 a factor of 8157600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3679 + -0.6321. What is the closest to g in 2\/5, -0.2, 1.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/2135408 and 85\/2894272?\nAnswer: 350206912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/40)\/((-13)\/4 + 2). What is the fourth smallest value in z, 4, 5, 5\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aoox. What is prob of picking 1 a and 1 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -249*r**2 - 6*r - 8. Let c be q(-1). Let i = 251 + c. Sort -4, -1, -11, i in decreasing order.\nAnswer: i, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3045080?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4, m = 2*p + 5*m - 80. Suppose 4*d = 64 + p. Is 24 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1070 > -1111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 8:58 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 17*p + 4. Let n = 7 + -2. Is y(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1467565, -5870244, -13208043, -23480962?\n\"Answer: -1467560*i**2 + i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**(2\/11)\/o))\/o)\/((o*o*o**(-12))\/o*o))\/(o**10*o\/o**(-9)) assuming o is positive.\nAnswer: o**(-101\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16534, 15835, 15138, 14443, 13750?\nAnswer: 13059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21226\/10 - ((-12)\/(-10))\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63a86 (base 14) in base 3?\nAnswer: -110020022202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001010100010110111 (base 2) to base 7.\nAnswer: -2411122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 14*x = -11*x + 110, 0 = -3*b + 3*x - 11 - 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4541477.139 rounded to the nearest 10000?\nAnswer: -4540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 821 and -395 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-6)*(-4)\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2 + 12 = 0. Let j(u) = 3 + g*u + 3*u**2 - 4 - 4*u**2. Calculate the remainder when j(7) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4071160*h**3 + 3*h**2 - 184508?\nAnswer: -24426960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dsmmmdsms. Give prob of sequence sd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172987, -172997, -173021, -173065, -173135?\nAnswer: -173237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y + 5. Determine p(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**2 + 155*m - 487. Calculate the remainder when 1187 is divided by n(48).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3205 + -2183. Find the second derivative of -1118*b**2 - 29*b + m*b**2 - 28*b wrt b.\nAnswer: -192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19608\/285 - 68)\/(2\/(-40)*-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 205971?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/7 - 86*i**3 - 2424*i**2\/7.\nAnswer: i**2*(i - 606)*(i + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 45, 65, -5?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329 is divided by 84.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68184274?\nAnswer: 2, 19, 1794323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 5*g + 146, -g + 75 = o - 55. Let f = o + -46. Is 20 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 16*t**2 - 15*t - 13. Determine m(-15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**2 - 20*f - 22*f**3 + 42*f**3 - f**2 wrt f.\nAnswer: 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 + -0.5. Let s(q) = -q**2 + 4*q - 4. Let o be s(3). Which is the biggest value? (a) o (b) -2\/17 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 382\/6112 - (1 + (-2146)\/(-32)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 4 = -i. Let n(j) = 3*j**2 - 71*j - 21. Let s be n(24). Find the third derivative of s*v**2 - 3*v**2 - 7*v**i - 4*v**2 + 2*v**3 wrt v.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x + 40. Let o be j(10). Solve o = -5*k + 3*v, 4*v = -2*k - v - 35 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 43*t**2 + 1232*t + 1798. Give s(63).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -q**3\/3 + 9*q**2\/2 - 13*q - 100. Determine y(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6\/7)\/(y*y**42*y))\/(y**(-3\/32))**(2\/73) assuming y is positive.\nAnswer: y**(-366731\/8176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*p - 3 - 213 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31395 and 162645.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, -1, 16\/159, -3\/7, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 20 = 4*u - 2*u + 2*l - 3, 5*l - 238 = 218*u + l for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4570 divided by 1?\nAnswer: -4570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 5*j**2 + 3*j - 14. Let v be p(-6). Suppose 0 = 11*h - v*h - 476. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450)*2)\/(sqrt(100)\/(sqrt(10)*2)) + (sqrt(320) - ((1*sqrt(320))**2 + -5) - (-5 + (sqrt(320) - (sqrt(320) + 1)))).\nAnswer: -309 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(12\/5)*o**(-5))\/(o\/o**(-4))**(-4\/3) assuming o is positive.\nAnswer: o**(91\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l - 22. Let c be r(12). Suppose -157 = -3*n - x, -5*x = 5*n - 207 - c. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -46 + 48. What is the second derivative of 153*u**w + 48*u - 88 - 91 + 179 wrt u?\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**3 + 8*m**2 + 98*m - 31. What is k(7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -395088954 - 3226.\nAnswer: -395092180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x - 5. Determine p(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -12*r**3 - 86*r**2 - 139*r - 72. Suppose -9*y = 47 - 92. Let q(v) = -8*v**3 - 58*v**2 - 93*v - 48. Let h(p) = y*g(p) - 7*q(p). Factor h(a).\nAnswer: -4*(a + 1)*(a + 2)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75 + 96. Let l be (u\/(-14) + -1)\/((-10)\/8). Put 3, -2, 5, l in descending order.\nAnswer: 5, 3, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 14 = 5*i, 4*i + 2 = 4*u - 2*u. Let d = 94 + i. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/5, 1, -21, 21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n. Let v be k(-3). Suppose -4*r + v*r = 15. Solve -5*t = y - t - 14, r*y - t = 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + 20 + -1 + 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1288356 (base 9) to base 11\nAnswer: -444056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 814 a factor of 30750478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 4518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 3 - 3)*(4 + 1 - 4) - 2*u - 2*u + 3*u + (0 + 3 - 1)*(3*u + 0*u + 2*u).\nAnswer: 11*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -4, 4, 2 in decreasing order.\nAnswer: 5, 4, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29670, -29670, -29664, -29646, -29610, -29550?\nAnswer: -29460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7845745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + -28. Let z = 131 + -38. Let s = z + x. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, e: 5, y: 7}. Give prob of picking 1 n and 1 e.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -115110 - 2?\nAnswer: -115112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 9:41 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x - 6*x + 3*x + 7*x + 14 + 26 - 48 + (-3*x + 2*x - x)*(3 - 3 - 1) to h + y*x and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16548264 and 1512?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 10*h**5\/7 + 9718*h**4 + 4297148*h**3\/7 + 75130856*h**2\/7 + 30265680*h - 97041600\/7 = 0?\nAnswer: -6739, -30, -4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*p = 59*p - 24, -98 = -4*i + 3*p. Solve -i = -27*x + 23*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7511 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16592\/24888)\/(((-30)\/9)\/((-1)\/14)).\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -146561\/46540 + -2\/2327. What is the common denominator of d and 1 + -24 - (-20163)\/940?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -48 + ((-32)\/4)\/2. Let f = 122 + o. Suppose w = -4*b + b + f, -4*b = -5*w + 445. Is 17 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5413 + 516303?\nAnswer: 510560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -12*f + 45. Suppose -f*c + 24*c = 18. Differentiate 0*r**2 + 14*r**2 + 6*r**c + 15 + 0*r**2 wrt r.\nAnswer: 40*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 52 and -1579?\nAnswer: -82108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-7)*q\/(q*q**(-5)\/q)*q assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 5*r + 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 16\/(-5))*-1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2745 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -186*h + 219848. Calculate o(1182).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 - 122 + 241*k + 112 - 242*k - 10*k**2.\nAnswer: -7*k**2 - k - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280602 is divided by 221.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 42*u + 51. What is the units digit of b(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**2 - 2*r - 3. Let c be v(-2). Let j(f) = f**2 + 6*f - 9. Let l be j(c). List the prime factors of (l + -14)\/((-12)\/18).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 3 + 12 - 94*b**2 - 137*b**2 - 5.\nAnswer: -231*b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 7*w**2 + 18)*(-5*w**2 + 2*w**2 + 2*w**2) + (3*w - w + 0*w)*(-3*w**3 + 0*w**3 + 2*w**3).\nAnswer: 5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 659 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1994, -2262, -2656, -3176?\n\"Answer: -63*k**2 - 79*k - 1852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -45*f - 613. Give p(-15).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rsjres. Give prob of picking 2 r, 1 s, and 1 j.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 2065*m**2 - 7 + 214*m**2 - 4 in the form d + n*m**2 + j*m and give n.\nAnswer: -1851","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/307575 and -62\/375.\nAnswer: 1537875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**2 + 14*j - 5. Let i be s(-5). Let b(v) = v + 24. Let f(l) = l - 1. Let d(c) = b(c) - 4*f(c). Calculate the remainder when 82 is divided by d(i).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 223*n**3 + 3*n**2 + 1 - 224*n**3 - 2. Let d be j(-1). Solve -6*b = -d*b + 5*x + 4, 0 = 5*b - x + 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6240.032 years to decades.\nAnswer: 624.0032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2. Let h(j) be the third derivative of -j**7\/315 + j**4\/6 + 2*j**3\/3 + 2*j**2 - 86*j. Let t(o) be the second derivative of h(o). What is b(t(m))?\nAnswer: 64*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*g**2*m**2 - 3*g**2 - 36*g + 4*m**3 with respect to m.\nAnswer: -34*g**2*m + 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 20 + 13. Let y = -15 + s. Let n(j) = -j**2 - 3*j + 3. What is n(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48040*c*u**3 + u**3 + 221*u**2 + 5*u wrt c.\nAnswer: -48040*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 580157958*h - 2 + 5 - 580157912*h - 2.\nAnswer: 46*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 4*r**2 + 4*r + 3. Determine g(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3783390, 3783397, 3783408, 3783423, 3783442, 3783465?\nAnswer: 3783492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**4 + 893*v**3 + 38403*v**2 + 206415*v + 297648 = 0.\nAnswer: -848, -39, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3518*f + 3514*f + 1547*f - 8580*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -1047*m**3 + 3*m**2 + 3*m. Let j be k(-1). Does 14 divide 1\/(j\/(-210) + 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, x: 2, g: 4, c: 6, o: 3, u: 2}. Give prob of sequence ou.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35089 = 105*m - 1355*m + 7589 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*h + 418 = -41, 2*h = -2. What is the remainder when 1260 is divided by p?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 5130 = 25*r. What is the greatest common divisor of 57 and r?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -235*x + 67446. Determine w(287).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/7)\/(100\/(-720)*-9)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 683*b = 5*h + 687*b - 2, -5*b - 7 = 2*h + 9*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -62*c**2 - 1 - 5*c + 73*c**2 - 8*c. Let h(u) = -12*u**2 + 15*u. Let k(g) = 3*h(g) + 4*y(g). Is k(14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1151 (base 9) in base 8?\nAnswer: -1530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ny when two letters picked without replacement from yfunk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 PM and 6:36 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g**3 + g**2. Suppose 4*n - 4 = -5*u, -4*n + 4*u + 2 = -2. Let i be (3*(-4)\/(-48))\/(n\/(-4)). Calculate q(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 45 - 57 = -2*h, 2*f - 202 = -3*h. Calculate the lowest common multiple of f and 56.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1*-1*sqrt(1053) - (sqrt(1053)*2 + 1) - ((1 + sqrt(1053))*-2 + 4)) + -1)**2.\nAnswer: 72*sqrt(13) + 1069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1281174367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 8. Let w be ((-27)\/(-3))\/(0 + -1). Let y = -9 - w. Give z(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 3494\/13 (b) -5 (c) 2\/13 (d) -0.56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(3\/5)*f*(f*f*f\/f**(-1))\/f*f)\/((f*((f\/f**5)\/f)\/f)\/f**0)*(f**(-5)\/f**(2\/3))\/(f\/(f*f\/((f**(-2\/5)\/f)\/f))*f)**30 assuming f is positive.\nAnswer: f**(1151\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 347, 17 in descending order.\nAnswer: 347, 17, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -51467 and 1?\nAnswer: -51467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - -2. Let i(v) = 5 - 5*v**3 + q*v**3 + v**3 - 8*v**2. Does 5 divide i(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6981 - 3481 - i**2 - 3492 + 19*i**3 to q*i**3 + o + r*i**2 + y*i and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2491186091 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3250, 3241, 3234, 3229, 3226?\nAnswer: 3225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 - t**2 + 2*t**2)*(-3 - 2 + 2)*(2 + 0 - 3).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 6) in base 2?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 11 - 6)*(-d**2 + 3 - 3)*(-d + 3*d**3 + d) + (d**3 - d**3 + 2*d**3)*(2*d**2 - 4*d**2 + 3*d**2).\nAnswer: -19*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -14114.9587 to zero dps.\nAnswer: -14115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 837 - 42 - 143 + 4*j + 624 - 149 to the form v + d*j and give v.\nAnswer: 1127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54523 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 28*x**2 - 479*x + 29. What is the thousands digit of g(35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-5))\/(10\/2950). Let y = v + -49. Let k(i) = i**2 - 10*i - 8. Calculate k(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11322313 - 31211?\nAnswer: -12020130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 0.134425\nAnswer: 0.134425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f\/f**23*f*f\/f**(-3\/8)*f assuming f is positive.\nAnswer: f**(-133\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 29*t + 4. Is 11 a factor of v(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -578*d**5 + 156*d - 3 wrt d.\nAnswer: -11560*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 2418433.\nAnswer: 4836866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -99087072*j**2 - 78177104.\nAnswer: -198174144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(2*l**5 - 3*l**2 + 3*l**2) + 3*l**5 - 4*l**5 + 3*l**5.\nAnswer: -2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 3:45 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3621343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 103370 + -75?\nAnswer: 103273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17646640 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -p*v**2*z + 736*p*v**2 + 45*p*z**2 - 4*v**2*z - 11*z**2 + 81*z wrt p?\nAnswer: -v**2*z + 736*v**2 + 45*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -6*t + 3*t. Let x(v) = v**2 - v. What is the units digit of x(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13\/8 - -2. Let p = 13 + -19. Let s = -6.4 - p. Which is the second biggest value? (a) 4 (b) f (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-20)*(-64)\/320.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -205\/2*i**2 - 20*i**4 + 0 + 0*i**3 - 171*i. Find the first derivative of r(f) wrt f.\nAnswer: -480*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.18 + -1.18. Do 0.05 and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -7*z + 4. Calculate the remainder when h(-6) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 25300401 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 738*t - 894*t - 80 = -3356 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 1\/20*a**5 + 0*a**2 - 22*a + 1\/6*a**4 - 1\/2*a**3 + 0. What is p in k(p) = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 12*k**2 - 16*k - 10. Determine g(-13).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((2*sqrt(180) + 5 - ((1 + sqrt(180) - sqrt(180)) + 4)) + 5)*-1)**2.\nAnswer: 120*sqrt(5) + 745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmm. What is prob of picking 4 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 6*z + 6. Let y(q) = q**2 - 3*q**2 + 2*q - 7 + 5*q + 3*q**2. Let v(c) = -7*w(c) - 6*y(c). Let m(s) = -2*s**2. Calculate m(v(k)).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 11*y**2 + y - 7. Let w be q(11). Let n = -10 - -10.5. Which is the closest to -1\/4? (a) n (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b - 1. Let x be (20\/(-15))\/4*-3. Let t be k(x). Find the second derivative of 5*g + 9*g**5 - g - t*g wrt g.\nAnswer: 180*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*d + 1166 = -18*d. Suppose -115 = -b - g - 66, 0 = 2*b + 4*g - d. Calculate the least common multiple of b and 115.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**5*m))\/(m\/(m*m\/(m*m*m**(5\/11)*m)*m)) assuming m is positive.\nAnswer: m**(-82\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 19, 4, 21\/31, -6\/11, 0.2, -13?\nAnswer: 21\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a century in months?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/3)\/(-12 - 327\/(-27)). Let z(p) be the first derivative of -g + 1\/2*p**2 - 8*p. Determine z(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y**(-16)\/y*y)\/y)**(-2\/7)\/((((y**(1\/30)\/y)\/y*y)\/y)\/((y\/(y*y*y**(2\/53))*y)\/y)))**(2\/73) assuming y is positive.\nAnswer: y**(58039\/406245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -461*m - 36*m**2 + 2*m**4 + 37*m**2 + 1 + 481*m to the form k + n*m**4 + d*m + r*m**2 + a*m**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.01, -5, 732?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (11 + -7)*((-6)\/8 - -1). Suppose -4*n + 18 = -b, b = -5*n - 3*b + 12. Let f = g - n. Sort 1, -5, f.\nAnswer: -5, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 5*g - 6. Let c = g - 1. Suppose 0 = c*o - 12 - 8. Solve -2*j + o*n + 18 = 0, 19 = -4*n + 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3 = 3*u, 1862*a + 12 = 1858*a. Which is bigger: -14\/633 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-223 - -223 - (71 + 2 + 1) - -6) + -11?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/7, -0.4, 3, -1\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/4)\/((-26)\/(364\/413)).\nAnswer: 3\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5678.1 - 5678. Which is the nearest to k? (a) -0.4 (b) 4.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -181 + 188. Suppose -z*n + 2208 = 598. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 5*k - 20, 2*a = 2*k + 2 + 26. Calculate the smallest common multiple of 50 and a.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1108*h - 511*h + 14925 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -434886113\/2 or -217443058?\nAnswer: -217443058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 3*d**2 - d + 2. What is the remainder when 49 is divided by b(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*k*q*t - 22*k*t - 9285*k + q*t + 2572007*q with respect to k.\nAnswer: 6*q*t - 22*t - 9285","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/19256 and -13\/116.\nAnswer: 19256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -220140442132 - 0?\nAnswer: -220140442132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = 2*n + 431*n + 5692 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 3, s: 5, o: 4}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -9*v - 5\/6*v**3 - 1\/3*v**4 + 1\/20*v**5 + 3*v**2 + 2. Let d(m) be the first derivative of c(m). Calculate d(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 347500.\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**4 - r**4 + 3*r**5 + (0*r**5 - r**5 + 3*r**5)*(-4 + 3 + 2).\nAnswer: 5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -2*m**3\/21 + 6*m**2\/7 + 80*m\/7 - 2354. Factor t(g).\nAnswer: -2*(g - 10)*(g + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-14)\/4)\/((-7)\/4). Solve -3*g - a*r + 21 = r, 5*g - r = 17 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3212145*q**3 - 3748100*q**2?\nAnswer: 19272870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2390 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1214 by 397.\nAnswer: 1214\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + f = -c - 1, 4*c + 4 = 2*f. Sort f, -4, -5 in decreasing order.\nAnswer: f, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -44*r + 595 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2267.8381786944 + -0.1631203056. Let h = 2268 + q. Round h to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 10 = -5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 25*t**2 - 10*t + 22. Let l(n) = 4*n**2 - 1. Let d(m) = f(m) + 6*l(m). Let g be d(-8). Calculate the greatest common factor of g and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 1000211132?\nAnswer: 1000211133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**2*h**3 + 12*b**2*h**2 - 2*b*h**2 + 2*h**5 + 308*h**3*v + 15*v wrt h?\nAnswer: -12*b**2 + 120*h**2 + 1848*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 29*s - 63. Let q be g(-2). Let n = 18.1 - 1.1. Let v = -12 + n. What is the closest to q in -0.5, v, 1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + 457. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 283899*t + 59. Let a be f(-3). Let h = -1931638 - a. What is h rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1792) + -1*sqrt(1792) + sqrt(1792)))\/((sqrt(96)\/(sqrt(6)\/sqrt(3)))\/sqrt(12)).\nAnswer: -32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -655962*k**2*z**2 + 2*k**2*z + 1125*k*z + 49*z wrt z.\nAnswer: -1311924*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-17))**(4\/17)*(z\/((z\/z**(1\/3))\/z*z))**(30\/13))**(-4\/25) assuming z is positive.\nAnswer: z**(168\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hmcvvdv. What is prob of picking 1 d, 1 m, and 1 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 10*f**2 + 3. Let x be t(-10). Suppose x*l + 5*b = -594, -7*b = -4*l - 3*b - 792. Let o = 277 + l. Does 29 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(-9) + 2\/9. Let m(f) = 8*f**2 - f + 1. What is the remainder when m(j) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 583 - 356. Let w = 226.897 - q. What is w rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35 or 258?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/812 and 97\/4060.\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 - 109\/(-2))*2. Let w = -94 + c. Suppose 4*h - 2*t = 26, 0*t = 4*h - w*t - 17. Calculate the remainder when 52 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -241544338*t**3 - 145953569 with respect to t.\nAnswer: -724633014*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54617111.\nAnswer: 23, 97, 24481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -947 + -1021. Let g be (2 - 7)*h\/40. Let s = 389 - g. List the prime factors of s.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 - ((-120)\/10)\/(-4) is divided by 115.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 19 + -4?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11, 5, 67, 199, 425?\n\"Answer: 4*g**3 - g**2 - 9*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -16830*o - 7753*o + 2189*o in the form v + j*o and give j.\nAnswer: -22394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*b - 1215 + 470 - 1915 = 0. Solve 32 = d - 5*r + 12, -2*d = 5*r + b for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 q when three letters picked without replacement from {q: 9, a: 10}?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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 b = 0.19 - -0.11. Sort 4\/5, -6, b in increasing order.\nAnswer: -6, b, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6 = -0*f. Suppose 6 = -x - 5*t, x - 9*t - 57 = 21. Calculate the least common multiple of f and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 48*c**2 - 615*c + 479. What is a(12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27523.\nAnswer: 17, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 4 - (-2 + -1) - -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15128*f**2 - 1776*f - 16?\nAnswer: 30256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3108758?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12908226 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1 + -1)*(0 + 136\/176) and 34\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuununnrnuuuununnr. What is prob of sequence ur?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**2\/4 + 5519*g\/4 + 1505835\/2 = 0.\nAnswer: -4905, -614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 195, 391, 587, 783?\nAnswer: 979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 3342346.\nAnswer: 3342346.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7)\/c*c*c**(-2\/3)*c*c)\/(c\/(c**(-2\/3)\/c)*c)**(-48) assuming c is positive.\nAnswer: c**(511\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 - 27 - 14)*(0*q - q - q) - q - q + 3*q + (-5 + 5 - 1)*(3*q - q + 0*q) - 3*q + 3*q - q - q - 6 + 7 - 4.\nAnswer: -19*q - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -436\/612619 or -1?\nAnswer: -436\/612619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2201 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*f - m - 666 = 0, 3*f + 467*m - 463*m = -57 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14147 and 215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -727168, -1454338, -2181510, -2908684?\nAnswer: -3635860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -65176 + 1841?\nAnswer: -63235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394*s + 14352 = 230*s for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 71145806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -226303 - 1151?\nAnswer: -227454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101 - 0?\nAnswer: -101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**3 - b**3 + 7*b**3 + 7*b wrt b.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i = 5*z - 2629, 5*i = 4*z + 3276. Does 38 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 22*j - 51. Solve 2*d + 0 = j*n + 2, 4 = d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1248 - 15 - 3835)*(-1 + l - 2 + 2).\nAnswer: -5098*l + 5098","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) -0.042 (c) -4 (d) -6 (e) 3 (f) -11.41 (g) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (23\/(-460))\/((-2)\/97) and -117\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - (-52)\/(-20))*10. Suppose -4*g = -24 + t. What is the third derivative of -3*l**5 - 4*l**2 + 2*l**g - l**6 + l**5 wrt l?\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 22 + 20 + (-17 - -7).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*x + 2 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-4)*104\/(-39)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) -4\/5 (b) 2\/5 (c) -0.2 (d) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a day in seconds?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/7 + 88*q\/7 - 790.\nAnswer: 2*(q - 35)*(q + 79)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -3. Find the third derivative of -n**4 + 2*n**2 + 0*n**4 - n**m wrt n.\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.24 + 1.24. Which is the closest to t? (a) -3 (b) -1\/3 (c) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12232 and 4.\nAnswer: 12232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 904*z**3 + 3*z**2 + 190.\nAnswer: 5424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (133 - 144) + -23 + (23 - 8).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 682?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -33841967.74 plus 1332?\nAnswer: -33840635.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-12))\/((-615)\/(-328)*(-1)\/(-3))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45497 is divided by 2166.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19290 by -543.\nAnswer: 6430\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -4*i - 22, -4*h + 3*i + 4 = 4*i. Let o(r) = 0 + 2 + r - h - 5. Give o(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -237, -238, -233, -216, -181, -122?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 3332130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3637 at least as big as -0.043?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.4 * -0.5.\nAnswer: -6.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 11, l: 2, i: 2, q: 1, t: 2, r: 1}. Give prob of sequence mr.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/1452535 or 0?\nAnswer: -8\/1452535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + m + 6, 4*x - 4 = -26*m + 30*m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-55)\/44*((-6)\/7)\/((-30)\/(-420)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 603612.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by (-62)\/(-6) - 4\/(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f**3 + f**2 - 2. Let t(n) = -3*n**3 - n**2 + 1. Let z(v) = 4*j(v) + 5*t(v). Let b be z(3). Suppose 0*q + b = 5*q. Solve q*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -4\/9, 1\/89, 53, -4, -1?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 106023473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*y - 26931 - 123493, -2*y = 2*v - 75216. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c - 2. Is l(11) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 12) to base 4.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 5) to base 8.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) + -1 + -4.\nAnswer: -5 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**7\/7 - 5*k**6\/3 - 2*k**5\/5 + 149*k**3\/3 + 7*k - 8093. Find the third derivative of l(a) wrt a.\nAnswer: -120*a**3 - 600*a**2 - 48*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1521?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1700655 and 3\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17\/4 of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 198 + -202. What is the smallest value in h, -1, -663?\nAnswer: -663","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2628*y + 45. Let r(c) = -658*c - 12. Let g(h) = -15*r(h) - 4*v(h). Let d(n) = 2*n. Give g(d(a)).\nAnswer: -1284*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 4*m - 5. Let p be i(-4). Let n = 30 + -29. Let j be n\/(-4) - 21\/(-4). Sort -3, j, p in ascending order.\nAnswer: p, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 4*u**2 + 2*u - 5. Suppose 5*f = 29 - 4. Suppose -f = -i, 3*i + 0*i - 11 = p. Suppose 24 = 2*m + p*m. Give l(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 15 = 3*k, -k = -2*k + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 12:49 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -22 (b) 2\/3 (c) -134 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/6*144\/(-20). Suppose 0 = -4*k - 8 + p. Suppose -k*i - 33 = -109. What is the remainder when i is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 17*y - 14. Let s be b(-5). Suppose 3*m - 161 - s = 0. List the prime factors of m.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6607117 is divided by 1040.\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**4\/7 - 15322*s**3\/7 - 739878*s**2\/7 - 204826*s - 709228\/7 = 0.\nAnswer: -46, -1, 7709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 80\/45 - 6\/(-27). Let q(w) = g*w**2 - w**2 + w**2 + 0*w**2. Let b(l) = l**2. Determine b(q(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1787, -3710, -5633, -7556?\nAnswer: -9479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 147.694 - 139.0569. Round w to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*t + 2\/3*t**2 + 0 = 0.\nAnswer: 0, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 x when four letters picked without replacement from {m: 1, h: 1, n: 3, c: 6, k: 2, x: 2}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**2 - 1 + 1 + (3*q - q - 5*q)*(4*q + 0*q + 0*q + (-q - q + 0*q)*(-2 - 2 + 3) + q - q + q - 4*q + 6*q + 0*q).\nAnswer: -29*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2383870744.\nAnswer: 2, 297983843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 5 + 12 = -4*c - 16, 722*a = 726*a - 5*c - 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -36.62*-24\nAnswer: 878.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*y**2 - 222*y**2 + 117*y**2 + 71*y**2.\nAnswer: 62*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -5*o + 2*o. Let y(g) = g**2 - 2*g + 4. Let w(v) = -2*v + 4. Let p(i) = o*w(i) + 4*y(i). Factor p(h).\nAnswer: 4*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 93 + -55. Is f\/6*(6 + -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 6) + 34 + 3 + -8 + 0.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 10*u + 6. Calculate the remainder when k(7) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6686 - 1645 - 1350)*(-3 - 4 + 5 + 2 - 54*m**3).\nAnswer: -199314*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -49090 (base 12) to base 6\nAnswer: -2040300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*y + 1, -4*d = 3*y - 6. Suppose -2*x - 4*t + 399 = 3*x, d = 4*t - 4. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257*q - 275*q = -11880. Calculate the lowest common multiple of q and 30.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 - -37. Let z(d) = 20*d**2 + 3*d + 3. List the prime factors of z(s).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*t + 9. Suppose -4*f + 2*y + 35 = 3*y, 2*f = 4*y + t. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, v: 4, e: 1, b: 1, l: 1, k: 1}. What is prob of sequence kbal?\nAnswer: 1\/3432","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/5 - 1983*x\/5 - 51354\/5.\nAnswer: -3*(x + 27)*(x + 634)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -3 (b) -3\/4 (c) 2\/3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2493, 0.3, 0, 2 in decreasing order.\nAnswer: 2, 0.3, 0, -2493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 3*u**2 + 3*u - 1. Let q = 102 - 106. Calculate z(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a*a**(3\/19)))\/a)**(2\/47))**(-6\/23) assuming a is positive.\nAnswer: a**(264\/20539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than -985\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of 9*p**2 - 15\/8*p**4 - 9\/2*p**3 + 2\/5*p**5 + 0 + 2\/5*p**6 + 0*p. Factor d(x).\nAnswer: 3*(x - 1)*(4*x + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2132 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 56*p - 292. Calculate the smallest common multiple of h(46) and 60.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9.3999854 + 9.4. What is c rounded to six decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -j**2 + j**3 - 30*j + 27*j + j**2. Let o(p) = p**2. What is a(o(b))?\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8704374 a multiple of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/65643?\nAnswer: -1\/65643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 times -0.1?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-10*(-6)\/(-12))\/((-3)\/3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by -70\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 5*w**2 - 287*w + 1918. Give a(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/3, 4, 12, -2.2, 8, -7, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2688\/11 - 79529\/330. Calculate the common denominator of s and (-88)\/48 + 36\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 4*u**2 + u + 4. Let h be w(-4). Suppose -2*i = 3*v + 2*v - 66, -2*v + 3*i + 34 = h. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of -5*h**2\/2 - 11*h + 4. Let t(k) = -k - 2. Let y(v) = 2*n(v) - 11*t(v). Let g(x) = 3*x. Determine 6*g(d) - 21*y(d).\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1019535818 to the nearest integer?\nAnswer: 31930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -2\/15*t**6 + 4\/5*t**5 + 8\/3*t**3 - 34 - 2*t**4 - 2*t**2 - t. Factor v(n).\nAnswer: -4*(n - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-3\/4))\/j)**(-2\/29))**(-13\/2) assuming j is positive.\nAnswer: j**(-39\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/13 - (-55776)\/2158. Solve 115 = y*h + 11 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((270\/(-4))\/(-5) + 1)\/((-456)\/(-304)).\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/(-25)*31375\/1255.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**2\/11 - 68900*t\/11 + 412608 = 0.\nAnswer: 66, 34384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76088 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 46*f - 5. Let b be g(0). Let n(h) = -h**3 + 2*h + 7. Let k(s) = -s**3 + 2*s + 7. What is b*k(r) + 6*n(r)?\nAnswer: -r**3 + 2*r + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1774)\/(-14) - 18\/(-63) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.71574 years to millennia.\nAnswer: 0.04971574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.53 and -326306.\nAnswer: -326305.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 25149 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1001043 (base 5) to base 8\nAnswer: -36635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 160*i - 326*i + 164*i + 3*i**3 + 5*i**2)*(-i - 3*i + 5*i).\nAnswer: 3*i**4 + 5*i**3 - 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.74 - -0.04. Let p = r - -1. What is the third smallest value in -0.3, p, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(19\/4)\/z)\/z*z)\/((z\/(z**(-1\/10)*z*z)*z)\/z))\/(((z*z**(10\/3))\/z)\/z)**(-2\/25) assuming z is positive.\nAnswer: z**(1751\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 13*z**2 + z + 7. Let r be x(-13). Let f(t) = 2 - 5*t + t - 13. Does 13 divide f(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1052398)\/(-4) + (-335)\/67)*(-2)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20146025 (base 7) to base 8.\nAnswer: -6310466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 253 = 1. Suppose -15 = 3*a, g - 9 = 5*a + 30. What is the greatest common divisor of z and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17, 33, 49, 65, 81?\n\"Answer: 16*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -5, 5, 1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 4*f - 3. Let z be a(-3). Solve -2*c + 0*c - 10 = z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 10*g - 2. Let y be w(-10). Let t be y\/((-16)\/(-22)) + 3. Let d = 0.1 - -0.1. What is the biggest value in t, -4, d?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 223.745 to 0 decimal places.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-one fifths of a centimeter?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/20)\/((-6)\/5). Suppose u + 1\/3*h**2 - 2\/3*h = 0. What is h?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at most as big as -72\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 329. Let r be l(0). Suppose 2*z = 7*v - 12*v + 237, 3*v - 144 = -3*z. What is the highest common factor of r and v?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 207, 192, 185, 192, 219, 272, 357, 480?\n\"Answer: a**3 - 2*a**2 - 16*a + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.04376 to one dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**4 + 3*w - 3*w - w**4 + w**4 - w**4 + (w - 3 + 3)*(0 + 0 - 3*w**3) - 5 - 2*w**4 + 5.\nAnswer: -5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2351857224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -119472, -119469, -119466?\n\"Answer: 3*l - 119475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 43505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 103 + -94. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -35, 0.\nAnswer: -35, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 537.0636 micrometers in kilometers?\nAnswer: 0.0000005370636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 97*p**3 + 2*p**2 + p. Let f be z(-1). Let u be (-2)\/3*(f + -3). Suppose -t + 1 = -u. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34643531 is divided by 444?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = -5*s + 341. Let l(t) = -4*t - 13. Let v be l(-11). Calculate the greatest common factor of v and s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/sqrt(4)*-2 - sqrt(171)*1.\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 + 25.9. Which is the nearest to 2\/7? (a) 2\/15 (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -3, -327, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + o + 341, -3*o + 2*o = -3*v - 343. Let i = 90 + v. Which is smaller: i or 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12459873, 24919744, 37379615, 49839486, 62299357, 74759228?\nAnswer: 87219099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**5*r)*r*r*r**(-2\/9))\/(r**(-2\/9)*r)**20*(r**4\/r**(2\/5))\/((r**(2\/7)\/r)\/r**(-6)) assuming r is positive.\nAnswer: r**(-6446\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3606*y - 2159. Is l(72) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 409*g**2 - 297*g**2 + 486*g**2 in the form m + j*g**2 + n*g and give j.\nAnswer: 598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -240520 - 1021052?\nAnswer: -1302012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 4*q**2 - q + 7. Let u be 2 - (1\/1 - 1). Does 15 divide n(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/23 < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(1\/6)*d)\/d**(-4\/9))**(-41))**(32\/7) assuming d is positive.\nAnswer: d**(-30832\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -w + 21, -3*f = -8*w + 1093 - 1041. What is the closest to 0 in -13\/3, -2\/5, w?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -280830832614 and -0.6?\nAnswer: 280830832613.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16134 = -11*a + 7351. Calculate the highest common factor of a and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 75823?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-254)\/50 - 2736\/(-10450).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -3*t + 693, 3*w - 1058 + 367 = -5*t. What is the remainder when w is divided by 84?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 - -27. Let h(q) = 19*q + 49. Let f be h(-2). Calculate the greatest common divisor of o and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -18\/299 (b) -5 (c) -4 (d) -1\/47 (e) -4\/3 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-155)\/(-310))\/((-3)\/132)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5968 (base 12) to base 16.\nAnswer: -2720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -161*g**3 - 1913*g**2 + 1324586*g wrt g.\nAnswer: -966*g - 3826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5032*s**2 + 2475*s**2 + 2559*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*h = 0, h + 1 - 5 = 4*u. Let y(l) = 3*l + 20. Let z be y(-9). Let x(n) = n**2 - 4*n. Let f be x(2). Put z, f, u in ascending order.\nAnswer: z, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**2 + 146*i + 456 = 0.\nAnswer: -3, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 276*n - 1484. What are the prime factors of f(11)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 1)*(-2 + 2 + 2*v) - v + 2*v - 3*v - 32 + 50 - 36 - 2*v in the form t*v + k and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 204545*c*m + 882581*c wrt m?\nAnswer: 204545*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-15) - (-186)\/279.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -152308\/11 + 3378343770\/243991. Is 1 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1823, -2347, 3 in decreasing order.\nAnswer: 1823, 3, -2347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 672408.\nAnswer: 2, 3, 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 153\/(-324) - 2\/(-8). Which is the third biggest value? (a) 0.07 (b) 1 (c) -3 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 3\/10 (c) -4 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 93\/1860 - (-4632)\/160?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4888.\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7583*7.\nAnswer: 5.3081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 4)*(5913*t - 8141 + 8141) + 5*t + 0*t - 3*t to x*t + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 430783831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a665c (base 16) in base 4?\nAnswer: 12212121130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {u: 4, y: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2619, -1\/8, 1\/6.\nAnswer: -1\/8, 1\/6, 7, 2619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (1848\/(-21) - -51)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -158, -186, -230, -290, -366?\n\"Answer: -8*w**2 - 4*w - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 47. Let m be c(0). Suppose 4*z - 44 = 4*o, 0*o - m = -3*z - 4*o. Let i = -8 + z. Is 4 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 8 + 32 = 0. Let w = 4 + -7. Let i = w - v. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -666 + 331. Suppose -y + 0*y = -164. Let s = y - b. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from eztezettetettxzxt?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 7*a**2 + 5*a - 6. Let c(m) = -m**2 + 2*m - 3. Let z be c(3). Let x be i(z). Let o = 0.8 - 0.4. What is the nearest to x in -3, o, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 11 = 2*d + d, 13 = 4*d - f. Suppose i + d + 9 = 0. Let j = -2 - i. Calculate the least common multiple of 11 and j.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -75*n + 26. Is m(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 s when three letters picked without replacement from kksnknn?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -5. Suppose -139 = -3*b - g - 32, 4*b - 140 = -u*g. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in 2\/11, 3, 0.9, 39, -2.9?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 573\/(-81) + 120\/(-12) + 17.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (3 + 1 + 14 + -17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*t - 12 = 2*t, 5*g = 2*t + 16. Suppose -5*m + 4*o + 44 = -26, -2*m = 4*o. Let b(q) = -m - g*q**2 + 18 - 8. Let n(u) = 3*u. Give b(n(i)).\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a microgram in nanograms?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2253 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3890 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3564511 (base 10) to base 2\nAnswer: -1101100110001111011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5}. What is prob of sequence vvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-7 - ((-5 - -1) + 6 + -3))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 675 - -8?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, -11\/3, 1, -2\/559?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1098 divided by 3.\nAnswer: -366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-2*sqrt(156)*4 - sqrt(156))\/sqrt(12)*-3)**2*-4.\nAnswer: -37924 + 432*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 227\/290421 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8175 - 8173. Calculate the remainder when 1368 is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -148*g*j**2*x**3 - 562814*g*j**2*x - 2*g*j*x**3 + 1315364*g*j*x**2 wrt j.\nAnswer: -296*g*x**3 - 1125628*g*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -r + r + 2*r**3 + (-627*r**2 - 89*r**2 - 347*r**2)*(-3*r + 5*r + 0*r) as n*r**3 + j + k*r + a*r**2 and give n.\nAnswer: -2124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11206453.\nAnswer: 11206453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000059694 rounded to seven dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 + 25. Suppose 5*l + w*l - 15 = 0. Suppose -l*s + 78 = 3*p, -p + s + s + 11 = 0. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from mlxxllxx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 38? (a) -7\/9 (b) 2\/35 (c) 19\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5*p - 10 = 0. Suppose -p = 4*w + s, s = 4*w + 1 - 2. Let n be 12\/3*2\/4. Solve n*b - 4 = -w for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1285085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = b + 4*x + 138, 4*b - 4*x + 316 = 0. Let f = b + 96. Which is bigger: 15 or f?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 1 + 3 = 0, 4*h + 4*v - 16 = 0. Put 18, 0, -1, h in descending order.\nAnswer: 18, h, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**7\/21 - 13*s**6\/10 - 29*s**3\/2 + 6*s + 5. Find the second derivative of g(l) wrt l.\nAnswer: -40*l**3 - 468*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, e: 5, c: 7}. What is prob of sequence cc?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*2\/((-4)\/(-2)). Suppose j = -11*l - 23 - 21. What is the nearest to -0.1 in l, 2\/13, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6\/5 and ((-1)\/2)\/(2\/77).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 11:13 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 132*p - 1438. Let j(b) = -24*b + 2. Let d(w) = -6*j(w) - r(w). What is the first derivative of d(u) wrt u?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 + 83290*j.\nAnswer: 5*j*(j + 16658)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8161 from -1158.\nAnswer: -9319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000511420119 to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/12 + 213\/(-18). Does 10 divide (-176)\/(-18) + s\/(-54)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h + 1. Let m = 28 + -30. Let t be w(m). Let j = -41 - -42. Is t at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 - 0.1. What is the closest to 2\/15 in c, 0.4, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*q + 2867 = 474*q + 26603 for q.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (-37135)\/(-10)*2 + -1 + -5 + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*2)\/sqrt(8) + -1.\nAnswer: -1 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/3 of a hour in minutes?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 435 = 7*z. What are the prime factors of z?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 1344.\nAnswer: 12096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 2. Suppose 3*b - 13 = 2. Let k be d(b). Suppose 10 = -f + k*f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**5\/13 + 60*u**4\/13 - 444*u**3\/13 - 176*u**2\/13 + 1230*u\/13 + 900\/13 = 0.\nAnswer: -1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3)*z**9*((z*z*z*z*z**(1\/3)\/z*z)\/z)**(-8\/7))**42 assuming z is positive.\nAnswer: z**92","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/20)\/((-14)\/5). Let k be (-286)\/18 - (-2)\/9. Let p = -16 - k. Which is greater: v or p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 u when two letters picked without replacement from yopproosrpou?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*r - 57*r + 23*r.\nAnswer: 174*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 3*o = -0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -314441 (base 5) to base 12\nAnswer: -6191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -277*j - 1654. What is the least common multiple of 2178 and u(-6)?\nAnswer: 8712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1443 and 1442 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*t**2 + 0*t**2 + 2 + 10*t**2 + 13*t**2 - 64*t**2.\nAnswer: -29*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*o + 25*o = -60. What is the smallest common multiple of 20 and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -706*v - 34*v = 1094*v - 31178 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/((-44)\/(-77)) + -5. Solve v*x - 8*x + 6 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 152\/((-10640)\/126)*15\/(-12).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 7 = -2*z, 2*z + 2*a = 7*a + 5. Suppose 4*i - 16 = 2*k, -z*k = 5*i - 2*i + 1. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five eighths of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -5*j**5 + 3609350*j**4 - 651384808365*j**3 + 5210905219400*j**2 - 10421694940880*j = 0?\nAnswer: 0, 4, 360931","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y - 9. Let w be o(-6). Suppose -3*p + 30 = -3*h - 15, 5*h = -3*p + 45. Calculate the remainder when p is divided by 9\/w - (-42)\/5.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(77)*-1 - sqrt(77))\/(-2*sqrt(176) + sqrt(176)).\nAnswer: -5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1110 (base 3) to base 10\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -2)*5 + 4. Let o(f) = -f - 1. Let u(z) = 5*z**2 + 4*z + 4. Calculate k*u(i) - 4*o(i).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 103*l**3\/3 + 537*l**2\/2 - 479*l. Differentiate i(d) with respect to d.\nAnswer: 206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3126454024?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11031 + -3012133?\nAnswer: -3023214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 3*j + 114, -25 = -3*n - j + 58. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100100011101111100 (base 2) to base 12\nAnswer: -72538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**3\/2 + 89*h**2 + 1665*h\/2 + 1683 = 0 for h.\nAnswer: -6, -3, 187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2\/7 - 47422*u\/7 - 562211521\/7 = 0. Calculate u.\nAnswer: -23711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-20)*0 + -6 + 3 + 3. Which is smaller: i or -15\/62?\nAnswer: -15\/62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2603.274 - -618.289. Let f = d - -1989. Let h = 4 - f. What is h rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*l - 14433 + 13998 for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 6*(sqrt(3) + (sqrt(12))**2 + 2) + ((sqrt(216) + sqrt(216)*2 + sqrt(216))\/sqrt(8))\/(-4*(sqrt(9) + (1*sqrt(9) - sqrt(9)))).\nAnswer: 5*sqrt(3) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-3\/4)\/r*r*r*r\/r**(-3)*r*r assuming r is positive.\nAnswer: r**(29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 73*l - 3614. Calculate f(50).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10189246 is divided by 104?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/49 + 4\/(-35).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -126*b**3*i**3 + 6*b**3*i**2*z**2 + 10*b**3*i*z + 2*b**2 + 2*b*i**3*z**2 + 2*b*i**3*z - b*i**2*z**2 wrt i.\nAnswer: -756*b**3 + 12*b*z**2 + 12*b*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17000 + -10394. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -14. Let i(o) = -o**2 - 6*o + 4. Let j be i(g). What are the prime factors of ((-11)\/3)\/(j\/(-36))?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 357 and 22491?\nAnswer: 22491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -17*k - 3. Suppose -4*x + 24 = 5*s - s, -3*x - 4*s = -20. Let j(m) = 6*m + 1. What is x*p(a) + 11*j(a)?\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 - 66. Let h = -94 - d. Suppose 6*f - 2*f - h = 0. Solve 5*m + 24 = k, 16 = -f*m - 0*m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 650*i + 9. Is b(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-18)\/10)\/((-3)\/5). Let d(y) be the first derivative of -2 + 0*y + 0*y**2 - 2\/15*y**b - 1\/5*y**4 - 2\/25*y**5. Solve d(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-194573.\nAnswer: 97286.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/3 (b) -5 (c) 27 (d) -2 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 3 + 3)*(7*c + 9*c - c)*(-2*c**3 - 3*c**3 + 6*c**3).\nAnswer: -15*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w**2 + 18*w + 4. What is the units digit of h(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1255025?\nAnswer: 5, 17, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n - 1. Let m(p) = -7*p + 2. Suppose -4*s = 0, 4 = 5*q + 5*s + 14. Let v(g) = q*c(g) - m(g). Let a(j) = -j**2. Give v(a(u)).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/(-3) - 2\/6*1. Suppose 0 = -3*w + o*w + 107. Let s = 108 - w. Which is the smallest value? (a) s (b) -2\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 825 by 15.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -461*j**2 - 13*j - 30. Suppose 0 = 6*m + 60. Let f be z(m). What is f rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*i + 55*i = 12. Let k(n) = -n**3 + 17*n**2 - 10*n + 12. Is 51 a factor of k(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**4\/7 + 32080*w**3\/7 - 3694366*w**2\/7 - 32080*w\/7 + 3694368\/7 = 0.\nAnswer: -1, 1, 116, 15924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2380 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66361052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15147, -15307, -15467, -15627, -15787, -15947?\nAnswer: -16107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12652 * 3.\nAnswer: -37956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -333.272 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*b + 570 = -20*b + 2111. Let w be (9 - 13) + (-664)\/(-169). Let j = -9215\/10647 + w. Find the common denominator of b and j.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5.463968km?\nAnswer: 5463968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in -149, -1, 21\/4?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -4, 9, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 5*a**3\/3 + 2*a**2 - 7*a - 2. Let o(x) = 14*x**2 + 12*x - 20. Let j(r) = -6*o(r) + 17*w(r). What is j(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 7:23 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-34)\/(-85))\/((-2)\/(-4)). Let x = 154641\/71 - 2178. Let r = 109\/781 + x. What is the nearest to -0.2 in r, 0.2, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -25\/38359 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 5. Let a be b(-9). Let y = 3 - 3.2. What is the nearest to y in a, 2\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54.2 - 10.2. Let x = z + -46. Let w = x + 2.1. What is the biggest value in w, -0.4, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 a, and 2 c when four letters picked without replacement from cccpcpcccpccccca.\nAnswer: 99\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x - 5. Let s(c) = 2*c + 6. Let v(n) = -1. Let t(h) = -s(h) - 2*v(h). Let u be (-3)\/2*16\/(-6). Determine u*l(m) - 5*t(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 5752.5 to the nearest one hundred.\nAnswer: 5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = -2*w + 83. Let d(f) = -11*f**2 - 5*f - 15. Let h(y) = -5*y**2 - 2*y - 7. What is w*d(t) + 7*h(t)?\nAnswer: -2*t**2 + t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r + 13. Let f be 13\/78 + 94\/12. Let k be d(f). Sort k, 3\/7, -1\/10 in descending order.\nAnswer: 3\/7, -1\/10, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**4 - 3*b**4 + 3*b**4 + 2*b**2)*(54*b + 17*b + 74*b + 66*b).\nAnswer: -1055*b**5 + 422*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 10\/34*7. Let q = -6936 - -20812\/3. What is the fourth biggest value in b, q, 1, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -240 + 104?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -a**4\/84 + 5*a**3\/21 - 25*a**2\/14 + 36*a. Factor g(y).\nAnswer: -(y - 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/8)\/((-2)\/(-8)). Let x = -0.232 - 2.838. Let u = x + 2.07. Is h >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2011*t - 396*t**2 - 8*t**3 + 393*t**2 + 2011*t + 47*t**3 + 46 to x*t**3 + y*t**2 + w*t + g and give x.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-5))\/(73\/730)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m - 5. Let u(f) be the first derivative of f**2\/2 - f + 150. What is -4*u(t) + w(t)?\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2 + 2 - 11*r + 4*r - 10. Let i(d) be the second derivative of 0 - d + 1\/2*d**2 + 1\/6*d**3. What is 6*i(u) + m(u)?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) + sqrt(36)\/sqrt(3))*2)\/((sqrt(4) - 2*sqrt(4)*-1) + sqrt(4)) - 2*-6*sqrt(9)\/sqrt(3)*6.\nAnswer: 73*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 29*k + 180. Let p be q(-9). Let x be (-10)\/(-12) + (-6)\/12. Factor 0*g + 0*g**3 + x*g**4 + 1\/3*g**5 + 0 + p*g**2.\nAnswer: g**4*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 298, 705, 1216, 1825, 2526, 3313, 4180?\n\"Answer: -u**3 + 58*u**2 + 240*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a day in hours?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1436)\/10 - 74\/185. Let y = j + 192. Solve y*t - 44*t - 20 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 3*f - 12, -3*p + 5*f - f = 13. What is the units digit of (59*(-4 - p))\/((-1)\/2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -5*h**2 + 5. Let a(y) = -4*y**2 - y + 5. Let n(r) = -4*a(r) + 3*p(r). Let t be n(-4). Let x = 0.3 + -0.5. What is the smallest value in t, 0, x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 168 - 14. Calculate the highest common divisor of s and 209.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1119712*l**4 - 915727*l**2 wrt l?\nAnswer: 26873088*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 5. Suppose -4 = f*p - 0*p. Let j(m) = 60*m**2 - 1. Is j(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -16) + (-3 - 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10934.829 * -1.6.\nAnswer: -17495.7264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.83 + 1.07. Let h = -6 + r. Which is greater: 0.4 or h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6652*h + 565 + 1736*h - 568)*(3*h - h - 3*h) in the form u + c*h**2 + q*h and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 - 3*y**2 + 4*y**4 - y**4 + (0 + 0 - y)*(5*y**3 - 3*y**3 - y**3).\nAnswer: y**4 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 8:14 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(70)*5 - sqrt(70))\/(sqrt(250) - sqrt(250)*2) + (-4*3*-2*sqrt(21)\/sqrt(3))**2.\nAnswer: -9*sqrt(7)\/5 + 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = t - p, -3*t - p - 295 + 277 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29507710?\nAnswer: 2, 5, 2950771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ie when two letters picked without replacement from eijeieeeeijii.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -519\/140 - -57\/20. Which is the closest to 2\/5? (a) 2\/7 (b) -2\/5 (c) w (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -274.9 - -275. What is the nearest to f in 0, -3, -5, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11775 - -25169. What are the prime factors of o?\nAnswer: 2, 37, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + 210\/(-27))\/(4\/(-6)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 155\/(-27 + (-96)\/(-3)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhmmrhmihluu. What is prob of picking 1 h and 1 m?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j + 4. What is h(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 7) to base 16\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -5*s**5 - 375*s**4 - 5000*s**3 + 17700*s**2 - 12320*s = 0.\nAnswer: -56, -22, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1350\/45*(-2)\/35*10*5\/100\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 114, -1 in increasing order.\nAnswer: -2, -1, 0, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5654 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 98.765 - 99. Let f = -0.4 + 0.7. Let a = f + p. Round a to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-42)\/(-8) + 6\/(-24)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24322421 (base 5) to base 4.\nAnswer: -320011220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 3. Suppose 5*i - u = i. Let g(v) = 2*v + 4. Let c be g(i). Solve 0 = 2*s + 2*s + f + 12, c = 5*s - 5*f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (12 - 2 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 0*c + 2*c - 4*f = 40, -9*c - 5*f = -8*c + 5 for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0 (b) -0.2665 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 19 = 5*l, -l - 209 = 4*s - 242 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*m + 674*m + 15640 = -42*m for m.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, s: 2}. What is prob of sequence so?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17650, -140640, -474376, -1124230, -2195574, -3793780?\nAnswer: -6024220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/13)\/(m*m*m**(-3)*m*m) assuming m is positive.\nAnswer: m**(-11\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 1:03 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s = -28*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101 (base 3) in base 6?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y - 3 + 14*y**2 - 14*y**2 - 8*y**3 + 0*y**2 to r*y + o*y**3 + q + p*y**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 25682604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-4\/23)\/i**9)\/(i**25\/i*i*i\/(i*i**(-14)\/i)) assuming i is positive.\nAnswer: i**(-1131\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -22*n**4 + 752*n**3 + 634*n**2 - 140*n = 0. What is n?\nAnswer: -1, 0, 2\/11, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 5*w**3 - 27525*w**2 + 50487840*w - 30856101120 = 0.\nAnswer: 1761, 1872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 888287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9778 = 3*b + 241. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-2)\/((-28)\/(-22)). Let y = 3\/5 + -2\/5. Which is the third biggest value? (a) r (b) -3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81365601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/3822 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 213 + -2 + (-15)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*c + 1778*c + 11680 = 0 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 249 + -236. Let t = 105 + -154. Let l = t - -75. Calculate the greatest common divisor of l and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 111.9 - -106.3. Let a = u + -218. What is the second smallest value in -5, -4, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -789 = 325*n - 62*n. Which is the nearest to n? (a) 4 (b) -1\/8 (c) 20 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 - -128. Suppose 0*i - 2*m + 46 = 2*i, 5*i - 103 = m. Calculate the greatest common factor of r and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 40230424?\nAnswer: -40230423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 4*z**2 + z + 4. Suppose -14 = x - 10. Give w(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-1))\/k**(2\/11))\/(k*(k**3*k)\/k*k*k*k**0))**(-22) assuming k is positive.\nAnswer: k**92","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/4 of a millimeter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*c**2 + 2*c - 166764400 + 166764400.\nAnswer: -57*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3*(4 + -1)*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1 + 0*r - 1\/4*r**2 = 0. What is r?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9638, 8839, 7508, 5645, 3250?\n\"Answer: -266*a**2 - a + 9905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -11. What is the third derivative of -2*b**2 + 2*b**4 - b**2 + b**l + b**4 wrt b?\nAnswer: 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**15)**(2\/17)\/(k**(-14)*k*k)**(-1\/4) assuming k is positive.\nAnswer: k**(-21\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 11:19 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366515.\nAnswer: 5, 73303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6801.171 rounded to the nearest integer?\nAnswer: -6801","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -394 - -396. Suppose -a*r + 209 = -11. What is the highest common factor of 55 and r?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h + 2. Let x be p(2). Let g(v) = -4*v**2 - 2 + 2*v**2 + 0. Determine g(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 111 - 94. Solve k - 18 = -v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 17 = -3*z, 10*z = -3*d + 21*z - 29 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -389 + 402. What is the closest to -1 in 0.1, 1, z, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -21, 2 in decreasing order.\nAnswer: 2, 0, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 85, 21, -1, 6.\nAnswer: -1, 3, 6, 21, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 91563665.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + 1 + 2 - (-3 + sqrt(48)*-5)**2.\nAnswer: -1206 - 115*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuu. What is prob of picking 4 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x - 7*x - 2*x)*(238*x + 230*x - 341*x) to l*x + a*x**2 + w and give a.\nAnswer: -889","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -66, -70, -70?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9859482 by 3.\nAnswer: -3286494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118898.\nAnswer: 2, 13, 17, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 243, 588, 933?\n\"Answer: 345*n - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 5*f + 0*f + 7 = 2*a, -2*a + 18511*f - 2 = 18515*f for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1144508 and 31.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**4 + 0*u**4 - 3*u**4 + 4*u**2 - 4*u**2 - 2*u**4 + 0*u**4 + u**4 - 2*u**4 + (-4*u - 2*u**3 + 4*u)*(-3*u + u + 0*u).\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6, -22, -48, -84?\n\"Answer: -5*y**2 - y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/5 + 3149116*i\/5 - 1239616447682\/5.\nAnswer: -2*(i - 787279)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 2*a**2 + 7*a - 9. What is l(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*c**2 - 2*c**4 + 6*c**3 - 19*c + 24*c**2 + 17*c to the form s + o*c**4 + t*c**3 + q*c**2 + b*c and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)\/d)**(-35) assuming d is positive.\nAnswer: d**105","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 + 16*b**2 + 22*b + 8. What is a(-5)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*z - 1764*z = 779*z + 2069*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 + (-1)\/(-1 + 0). Let r(c) = -5*c**3 - 3*c**2 - 3*c. Let u(i) = 25*i**2 + 34*i - 630*i**3 + 9*i**2 + 359*i**3 + 327*i**3. What is j*u(f) - 68*r(f)?\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - t + 5 - 5 + 1618*t**2 + 2.\nAnswer: 1618*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pmpmm. Give prob of picking 1 m and 1 p.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 12116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 378 and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 578255 = 9*g - 457483. Suppose 165918 = -w - g. What is w rounded to the nearest 10000?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1799 is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -1115\/513296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103386992*y - 103386992*y + 11*y**2.\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/7 + 171*p\/7 - 2484\/7.\nAnswer: 3*(p - 12)*(p + 69)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(243)*-1)**2 - (-2*sqrt(528) + sqrt(33) - sqrt(33))\/sqrt(11).\nAnswer: 8*sqrt(3) + 8748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 36\/8 + 0. Put -2\/761, 0.3, p in descending order.\nAnswer: p, 0.3, -2\/761","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 60 = 2*o + o - 46, -o - 6 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, f: 4, h: 3, n: 2, j: 1, r: 1}. What is prob of picking 1 n, 1 c, and 2 f?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 27.6, -5, -44, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**4 - 2038*k**3 + 2713*k**2 - 678*k.\nAnswer: k*(k - 678)*(k - 1)*(3*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010010011011111111 (base 2) to base 3.\nAnswer: 1010110210002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -90 smaller than -95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1296*c + 396*c + 901*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 8:42 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -738 + 42 + 36 = -30*s for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 4*b**2 + 4. Calculate n(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -4048270.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o - 10. Let d(m) = 11*m - 30. Determine -2*d(f) + 7*p(f).\nAnswer: -f - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12055\/2 - -6028. What is the biggest value in 2\/17, i, -57?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 980326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 4*z + 6. Let w be s(6). Let u(k) = -k**2 + 2*k. Let j be u(4). Let f = j - w. Which is the closest to f? (a) 0.5 (b) -3\/4 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -385 + 390. Which is the closest to 0.1? (a) 35 (b) j (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 1751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (63*x - 52*x - 3*x - 8*x - 4*x - 1760)*(2*x**2 - x**2 + x**2) as q*x**2 + l*x**3 + d + w*x and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -200*k - 2114 wrt k.\nAnswer: -200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = 9*h - 8. Let k(n) = 7*n + 5. Let l be k(h). List the prime factors of (3 + l)*142\/(-12).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y + 7723. Let m(k) = -67*k**2 + 2*k. Calculate j(m(u)).\nAnswer: -134*u**2 + 4*u + 7723","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 35456 - 25?\nAnswer: 35431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(-1\/2))**(-1\/18)*((n**(-2\/9)*n)\/n)**(-2\/139))**(-33) assuming n is positive.\nAnswer: n**(7469\/1668)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, n: 14}. What is prob of picking 2 n?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 + 56 = 7*n. What is the tens digit of (-6)\/4*((-546)\/n - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-638)\/121 - -5)*-11. Factor 0*q**2 - q + 1\/2 - 1\/2*q**4 + q**v.\nAnswer: -(q - 1)**3*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 548 and 14?\nAnswer: 3836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 24*h**2 + 1314*h + 1291. Calculate x(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011191 to 6 decimal places.\nAnswer: -0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*v**4 - 6*v**5 - 17*v**4 + 33*v**4 + (6*v**2 + 2*v**2 - 3*v**2)*(0*v + 2*v**3 + 0*v) + (-2*v - v - 2*v)*(4*v**4 - 4*v**4 - 3*v**4).\nAnswer: 19*v**5 + 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4 - n**2 + 12*n**2 - 4 - 12*n**2. Let w(v) = 9*v**2 + v + 1. What is -6*a(j) - w(j)?\nAnswer: -3*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from nkunn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4342 - -4340. Which is the nearest to -115? (a) y (b) -3 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 16 - 4. Suppose -i + 5 = f. Suppose 5*h = i*h + 3. What is the lowest common multiple of 3 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 48*q - 47. Let g be j(-49). Let l(p) = p + 4*p - 48 - 47 + 88 + g*p + p**2. Suppose 2*d - w = 6*d + 31, -2*w + 18 = -2*d. Calculate l(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-656)\/(-960) - (-1)\/(-12)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h**3 - h**2 + 2*h + 1. Let d(o) = -19*o**3 + 40*o**2 - 1414*o - 8. Let a(t) = -d(t) - 5*q(t). What is the second derivative of a(u) wrt u?\nAnswer: -6*u - 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 8 = -f. Let c be 3*(1 + 0\/f). Suppose 0 = c*g - 8*g + 10, 5*j = -4*g + 173. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1529 + -1526. What is the second biggest value in 2, -7, y, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/9*-2*6. Let p = -1 + n. What is the second derivative of -z**2 + p*z - 2*z - 3*z - z**2 wrt z?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -186\/3899 < -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-2)\/(-2))\/(-3))\/(5\/60). Sort 3, -5, l, 2 in descending order.\nAnswer: 3, 2, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3020, -1410, 1274, 5032, 9864, 15770, 22750?\nAnswer: 30804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -432 divided by 72.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2264 is divided by 184?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q - 1. Let b(v) be the first derivative of 0*v + 0*v**2 - 1\/3*v**3 + 75. Determine y(b(g)).\nAnswer: -3*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2220, 4437, 6642, 8829, 10992, 13125, 15222?\nAnswer: 17277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eedddddddddedd. Give prob of picking 1 e and 1 d.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*p**2 + 2*p - 4*p**2 - 5*p**2 + (-4 + 4 + 2*p)*(2*p - 3*p + 3*p) in the form u + x*p + z*p**2 and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**4 - 25518*j**3 + 81281068*j**2 + 733853568*j - 815109120 = 0. Calculate j.\nAnswer: -10, 1, 6384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 402562 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 811.1795 kilograms in milligrams?\nAnswer: 811179500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43\/(1032\/(-384)) - (0 + -2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuudduuuuuuududdduu. Give prob of picking 1 d and 1 u.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 65350469923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.2 - 0.2. Let i be 18\/(-70) - 6\/(-15). Which is the second smallest value? (a) i (b) 3\/5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 422 + 420*v - 196*v - v**2 - 224*v.\nAnswer: -v**2 + 422","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*i - 8 = -31*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363075972?\nAnswer: 2, 3, 7, 1823, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -19. Solve -5*a - g + 27 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 38. Suppose 3*x + 31 = 1. Let l = x - m. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -306, -155, -4?\n\"Answer: 151*w - 457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-69)\/(-18975)*132)\/(24\/5100)\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0. Suppose z = k - 15. Let n = 54 - 26. Calculate the remainder when n is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - 8\/(-3))*6. Put 7, 3, z in descending order.\nAnswer: 7, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 1280163.\nAnswer: -2\/1280163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*-25683119.\nAnswer: 462296142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 19*s**2 + 17*s - 13. Let d be ((-18)\/5)\/((-2)\/(-10)). Let m be p(d). Solve m*o + 2 = -23 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -0*w + 5*l + 53, -4*w = 5*l - 3. Let f(x) = w*x**2 - 4*x**2 - 2*x**2. Let n(d) = -6*d. Give f(n(v)).\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1104423 + -120?\nAnswer: -1110043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s + s**2 - 21*s**3 - 1 + 6 - 7 - 2*s**2 to the form h + m*s**3 + v*s**2 + c*s and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4*i = 16, -i - 4*i + 20 = -c. Let y(n) = -8*n + c*n + 3*n - 5*n. Let f(q) = q. What is f(y(h))?\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(64) + sqrt(4))*6 - sqrt(4))\/sqrt(2) + (-4 + sqrt(72) + -1 - sqrt(72)) + sqrt(72))**2.\nAnswer: -350*sqrt(2) + 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 127*p**2 + 31*p - 68. What is the hundreds digit of o(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 396760 and 650?\nAnswer: 1983800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3, 5*k = 2*i - 0 + 23. Suppose l + 5*o = -0*o, -k*l = 3*o. Suppose l*y - 3*y = -57. What is the remainder when y is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 4*u + 18, -2*j = 2*u - 1 - 13. Let y = -1 + 1. Suppose -4*g - g = 2*z + 15, 20 = 5*z + g. Solve 3*i = -y*s - 3*s + 3, j*s + 19 = z*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + (-49)\/(-28))\/(4\/16). Let a(g) = 2*g - 3. Let w(f) = 5*f - 8. Calculate n*w(b) - 8*a(b).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**3 - 2*a**2 - 4*a + 2. Let u be k(3). Let c = u - -128. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -33 - -26 - 15\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-13937)\/(-11) - 6) + (4 - -1). Let h = -737 + g. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**5 + 1988*q**2 + 6*q wrt q?\nAnswer: -40*q**3 + 3976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 + 22)*(-80)\/32 + -23?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**3 - 26*k**2 - 15*k + 326. Suppose 3*f - 38 = 7. What is the remainder when m(14) is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 221102?\nAnswer: -221103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**4 - 2*c**3*n**3 - 14*c**3 + 10*c**2*n**3 + 3*c*n**3 wrt c?\nAnswer: 24*c - 12*n**3 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3520427 rounded to the nearest 10000?\nAnswer: -3520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 9*c**2 + 141*c - 491. Determine a(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 125240 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9, -112, -387, -918, -1789?\n\"Answer: -14*s**3 - 2*s**2 + s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -175 + 268. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/152 and 85\/78.\nAnswer: 5928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 391*b - 357*b + 170. Sort -2, 1, 6, 32, b in decreasing order.\nAnswer: 32, 6, 1, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -411456*h - 454023 wrt h?\nAnswer: -411456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12668 + -12666. Which is greater: z or -15?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1712261*x**5 + 2*x**4 - 2*x**3 + 14386732*x**2.\nAnswer: 102735660*x**2 + 48*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**7\/4620 - c**3 - 1. Let u(n) be the third derivative of y(n). Solve u(v) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5385, 5394, 5403, 5412, 5421?\n\"Answer: 9*t + 5376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 5*q**2 + q - 3. Let v be t(5). Let g be (-9*v)\/(-1 + -1). Suppose -g = -3*l - 3*x, -5*l = -x - 11 + 2. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-28) + (-2)\/7)\/3\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*t**2 + t - t.\nAnswer: -31*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -4880\nAnswer: -1\/976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 3*m + 80 = 0, 19*j = -53*m + 68*m + 787 for j.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 6:42 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ytb when three letters picked without replacement from hyybtb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-2) + 3\/6. Suppose -5*z + 3*i + 72 = -o*i, -32 = -3*z - i. Calculate the remainder when (-8)\/z*29*-3 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 768.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001 (base 2) in base 10?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3141 - 318 + 831 = 146*u for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007217259 to five dps.\nAnswer: -0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1629*w = -25268 + 39046 + 43237 for w.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2656545 and 21855.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 253*o**2 - 244*o + 126495. What is f(254)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.6 - -13.4. Let m = -17.52 + h. What is m rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6500\/9933 >= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -3*p + 13, 21 = -17*b + 18*b + 5*p for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 747 a factor of 688734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 l, and 1 o when three letters picked without replacement from {l: 1, u: 5, a: 1, d: 1, o: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 771?\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -o**5\/70 + 5*o**4\/42 - 2*o**3\/7 + 2*o - 16. Factor c(i).\nAnswer: -2*i*(i - 3)*(i - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4\/7 - 6*x**3\/7 + 8*x\/7.\nAnswer: -2*x*(x - 1)*(x + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2105613?\nAnswer: 3, 31, 7547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a kilogram in grams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3680876 is divided by 525821?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 437729*v + 0*v**2 + v**2 + 0*v**2 + 437718*v - 875447*v.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10075\/4 - -151411\/60. What is the common denominator of -61\/384 and f?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1207501 and 11?\nAnswer: 13282511","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -3*t + 3, 4*i + 5*t - 14485 = 0. Suppose k - 4*l + i = l, 0 = k - 2*l + 3614. Round k to the nearest 100.\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 8:29 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 2257 = r, 0*t - 3*t = -2*r + 1357. Let i = t - -1461. List the prime factors of i.\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-6 - -42) + 5\/(15\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -634, -654, -738, -916, -1218, -1674?\n\"Answer: -5*i**3 - 2*i**2 + 21*i - 648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 334025 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqlqqqqqlqqllqllqlll. Give prob of picking 1 l and 3 q.\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l - 2. Let n(d) = -7*d - 6. Let i(y) = n(y) - 6*r(y). What is the lowest common multiple of 4 and i(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2. Let d(a) = 2*a**3 - 121*a**2 - 60*a - 56. Let s be d(61). Let c = -1 - -2. Let m(i) = 0*i**2 + c + i**2 - 3*i - 7*i**2. What is s*u(p) + m(p)?\nAnswer: -p**2 - 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178600172 is divided by 44?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4901 + 9755 - 287*q - 4856.\nAnswer: -287*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 580166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s + 2. Let h be g(-4). What are the prime factors of h + (-1)\/(2 + -3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -166*j - 8463. Calculate l(-51).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2421 * -0.5914.\nAnswer: -0.14317794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 10312270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(91) - -2*sqrt(91)))\/(sqrt(112)*2).\nAnswer: 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 2*c - c)*(-220*c**2 + 307*c**2 - 192*c**2).\nAnswer: -210*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 66*m - 8713. Determine l(138).\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -39*a**2 + 66*a + 261. Let s(j) = 3*j**2 - 5*j - 20. Let l(t) = 2*c(t) + 27*s(t). Suppose l(y) = 0. What is y?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 0*h - 2*h)*(-h**3 + h**3 + 2*h**3) + (3*h - 2*h - 4*h)*(75 + 77*h**3 - 75).\nAnswer: -235*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-2) + -3 - 1. Let c(t) = t**2 - 2*t + 1. What is the units digit of c(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.90029 from 147501.\nAnswer: 147501.90029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 704 = 10*b + 2*o, 4*o - 1166 = -5*b. Suppose 2*w + 36 = d, -14 - 2 = -d - 2*w. Calculate the highest common divisor of d and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -749451, -1498873, -2248295, -2997717?\nAnswer: -3747139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 z when four letters picked without replacement from {z: 1, l: 16, h: 1}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/70 and 13\/456260.\nAnswer: 456260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1562*f**2 + 3307*f**2 - 1748*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1372623.\nAnswer: 3, 7, 163, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*o - 2. Suppose 4*u = -5*m + 696, o*u - 2*m + 346 = 7*u. Find the second derivative of 160*k**3 - u*k**3 + 0 + 0 - 2*k wrt k.\nAnswer: -54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 2 + 12 + -10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43519715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a gram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 12*j + 14. Let d be b(-11). Let o(x) = 2 + 6*x + 1 - d. Let g = 6 - 7. What is o(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -53271000 to the nearest 100000.\nAnswer: -53300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bc when two letters picked without replacement from ykbcckg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5*sqrt(1152)*-1 - sqrt(1152) - sqrt(1152)) + sqrt(1152))\/(sqrt(256) + sqrt(256)*1*5))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - v - 13162 + 13154. Calculate o(15).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((40\/24)\/(10\/12))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 11:47 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2790617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -143 - -1579\/11. Let p = 592837 + -6521205\/11. Find c, given that 2\/11*c**4 - p*c + s*c**2 - 6\/11*c**3 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -76 and -838\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/7, 109\/16, -25\/6?\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**5\/60 - 5*r**4\/24 - r**3\/3 + 6*r**2. What is the units digit of i(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**4 - z**4 + 0*z**4 + (-2 + 2*z**3 + 2)*(-4 - 7*z + 4) as m*z + n + q*z**4 + r*z**3 + o*z**2 and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00865721 to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (2 + -3 + 5) - 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -3*u**3 + 2. Let d(o) = -6*o**2 - 4*o + 24. Let p(x) = 7*x**2 + 5*x - 30. Let k(a) = -5*d(a) - 4*p(a). Give v(k(b)).\nAnswer: -36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/(-2)*8\/(-2). Suppose -z = 2*d - 5*d - 4*n, -d = -4*n + 6. Determine x, given that x - 2*x - x**2 + 1 + d*x - x**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 2*o, o = 5*d + 5. Suppose i - 3*i + m = 14, 2*i - 3*m = -22. Suppose -v + 4*a - 1 = 1, 5*v - 3*a + 10 = 0. Sort d, i, v in descending order.\nAnswer: d, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 4859812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2705 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-156*(-10)\/180)\/(7\/42*2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v - v - 3*v)*(-2 + 2 + 3)*(3 - 3 - 1)*(3 + 3 - 2).\nAnswer: -48*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 80 - 58. Let j(w) = w + 11. Let o be j(q). What is the highest common factor of o and 363?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63138, 63139, 63130, 63105, 63058, 62983, 62874?\nAnswer: 62725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 - 15 - 251 = 95*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2. Suppose 2*m = -3 - 33. Let x be m\/81 - 130\/(-18). Let h(f) = 5*f + 7 + f - x. Give h(g(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -2. Let x(p) = p**3 - 7*p**2 - 22*p + 40. Let s be x(9). What is the nearest to r in s, -1\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-10) + 8\/(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44*u**2 - 39*u**2 - 5 + 0*u**5 - 7*u**5 wrt u?\nAnswer: -420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*v + 82933 = 81393 for v.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*sqrt(756)*2 + sqrt(756))\/(1*sqrt(7)*1 + (sqrt(7) - (sqrt(175)*1 + sqrt(7)) - sqrt(7)))*-6.\nAnswer: -2 + 108*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 19 (b) 1\/2 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 410 + -346. Let p(z) = -a + 182 + 6*z - 56 - 59. Determine p(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.6 and -415040.\nAnswer: -415039.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/6*(-12924)\/(-14001)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2181\/349 or -27?\nAnswer: 2181\/349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 smaller than 401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -673 - -671. Sort s, 2\/119, 2.\nAnswer: s, 2\/119, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91707, -91705, -91703?\nAnswer: -91701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 136, -5, 273, 0, 7, -1, 4 in increasing order.\nAnswer: -5, -1, 0, 4, 7, 136, 273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 612824166*h**3*s**3 + 2*h**3*s + h**2*s + 2*h**2 - 1976049*h*s wrt s.\nAnswer: 3676944996*h**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 4:01 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/6 + 308\/24. Let h = p + -9. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-2)*(-8)\/12. Let m(n) = -2*n**3 - n**2 - 2*n - 1. Let w be m(y). Let q = 2 - 2. Solve k + 0 - 6 = -3*l, q = -w*k - 3*l + 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4896, 9785, 14690, 19623, 24596, 29621, 34710?\nAnswer: 39875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*(-1)\/((-11)\/(-601)). Let t = -273 + o. Which is the smallest value? (a) -4 (b) t (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 264 + -548. Let z = 327 + m. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*q - 21635 = 121*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-46) - (0 - (-3 + (-1)\/(-1))). Sort 18, 3, i in descending order.\nAnswer: 18, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 16*g**2 + 76*g - 2428. Determine v(-15).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - 4*c**4 + c**2)*((c - c - 2*c)*(2 + 1 + 1) - 38*c - 612 + 612).\nAnswer: 184*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -8 + ((-3)\/4 - 195\/(-52)). Suppose -6 + 0 = -w. Let s(c) = -c**2 + 7*c - 7. Let q be s(w). Put u, q, 2 in decreasing order.\nAnswer: 2, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5448 divided by -429\nAnswer: 1816\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 4*i**4\/5 - 1064*i**3\/5 - 35776*i**2\/5 + 75776*i\/5 = 0.\nAnswer: -32, 0, 2, 296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 7:17 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2 - 131*h. Let i(n) = -11*n**2. Calculate p(i(t)).\nAnswer: -242*t**4 + 1441*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y + 4. Let t be h(6). What is the remainder when (-82)\/(-7) + 6\/21 is divided by -2*t\/(-8)*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 30 (c) -0.4 (d) 2\/17 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + s + 1. Let t(r) = -4*r**3 + 2*r**2 + r + 1. What is o(j) - t(j)?\nAnswer: 4*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 14 + 1074*j + 14 - 41 + 31.\nAnswer: 1074*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-3\/11))\/c*c*c**(-2\/37)*(c**(-3\/5))**38 assuming c is positive.\nAnswer: c**(-45028\/2035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 526*l**2*m**3*s + 2000*l**2*m**2 + 18*l**2*m*s**2 - 56817*l*m**3*s**2 + 23*m**2*s wrt m.\nAnswer: 3156*l**2*s - 340902*l*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(27)*2)**2.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1747 (base 9) in base 8?\nAnswer: -2473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f + 33. Let c(j) = j + 2*j - 5*j - 32 - 34 + 77. Calculate 4*b(k) - 11*c(k).\nAnswer: 2*k + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 1440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -2\/5, 8\/7, 31, 0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30a (base 12) to base 6.\nAnswer: -2014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -495, -2023, -4571, -8139?\n\"Answer: -510*q**2 + 2*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1403247 - 3?\nAnswer: -140324a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -2 - (2 - -1) - 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d\/(d\/(d\/(d*d**1))))\/d)\/d)\/d)**(-2\/35)\/((d\/(d**(-6)\/d))\/(d*d**(-5))))**33 assuming d is positive.\nAnswer: d**(-13596\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/348300 and -7\/6345.\nAnswer: 16370100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((2\/(-3))\/2)\/(60\/180). What is the common denominator of (s\/(-4))\/(-4*(-3)\/(-396)) and -7\/29?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + c + 10 = -4, -3*r + 2*c + 14 = 0. What is the third derivative of -475*x**r + 484*x**2 - 13*x**5 - 13*x**5 wrt x?\nAnswer: -1560*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2. Let k(w) = -35*w**2 + 4*w - 4. Let o(q) = -385*q**2 + 45*q - 45. Let u(l) = -45*k(l) + 4*o(l). Give g(u(y)).\nAnswer: -2450*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6 + (-246)\/12)\/(-1 + 8) and 41\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2\/3 - 139848*l - 14259872\/3.\nAnswer: -4*(l + 34)*(l + 104852)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -7*i - 0. Suppose -3*n = h + 211, 3*n - i*h = -35 - 188. What is n rounded to zero decimal places?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/153 or 1?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -100 + 103. Solve -p*f + 4*f + 2 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 131, 197, 263, 329?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1694243.9 rounded to the nearest 1000?\nAnswer: -1694000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**5\/5 + 111*w**4\/5.\nAnswer: w**4*(w + 111)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2314 is divided by 86.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/7, 3, -0.02, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -7. Suppose 2*x - v = -x. Let l = -2 + 0. What is the closest to 1\/5 in x, l, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*n + 13, -2*n = -2*p - p. Solve -2 = 2*u, u + 7 = -n*f + f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221021112 (base 3) to base 6.\nAnswer: 221152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 3*p - 2*p)*(-46*p**2 + 2*p**2 - 240*p**2) in the form s + o*p**3 + c*p**2 + x*p and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*g + 59*g - 120 = 0. Let f be (-3 + 44\/g)*(-876 + -15). Is f at most -595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) -2\/3 (b) 0 (c) -1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*l = 6 + 8, 0 = -5*i + 2*l + 34. Let c be (2 - (-1)\/1) + -3. Suppose c*y - 2*y + 20 = 0. Calculate the remainder when y is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 5*n + 17. Let i be h(8). Let c be 6\/(-9) + (-2)\/6. Let w = c + i. Is w a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 3*l**2 - 4*l + 6. Let g be f(4). Suppose g*i = 4*i - 18. Let k = i - -34. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185 = -7*w - 17. Let f(r) = r**2 - 20*r - 89. Calculate the remainder when 108 is divided by f(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/9 - (-186)\/1. Suppose 0 = -3*r + i + 184, r - 5*i - d = -2*r. What are the prime factors of r?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**3 - o**3 + o**3 + (4 - 4 - 2*o)*(-o**2 + o**2 + 2*o**2) + 4*o**3 + 0*o**3 - 3*o**3 - o**3 + 0 + 0 + o**3 - 6*o**3 + 2*o**3.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -302171.60219.\nAnswer: -302171.70219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56187 is divided by 1479.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 - 3*r**2 - 3*r - 5. Let o(z) = 6 - 7*z + z**3 + 4*z**2 + 11*z + 2*z**3. What is 3*o(b) + 4*q(b)?\nAnswer: b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-952)\/1071 + 644\/36?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6533873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 6. Let m be k(3). Suppose 1682 = -4*w + 33*w. Let s = -34 + w. Calculate the greatest common divisor of m and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 25. Let o be m\/(8 + -4) + 2. Suppose 2*n = 142 - 138. Solve n*a + 19 = -t - o*a, -23 = -3*t + 4*a for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 20*o**2 + 5*o - 26. Let q(y) = y**3 - 19*y**2 + 6*y - 25. Let l(h) = -7*q(h) + 6*v(h). Calculate the smallest common multiple of 57 and l(12).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1277134*f + 638569*f = -638407*f + 12640 for f.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*w + 51*w - 5624. Let k = w + -784. Does 59 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10372, 10375, 10380, 10387, 10396, 10407?\n\"Answer: t**2 + 10371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12749\/51 + -250. Let x = -171253\/9 + 19035. Find the common denominator of x and z.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-947)\/52085)\/(((20\/(-8))\/(-5))\/(1*-1))?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 1.4. Put 1\/5, 0.5, b in descending order.\nAnswer: 0.5, 1\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(343))*-6 + 5 + 5*(0 + sqrt(343) + 1 - sqrt(343)) + -1)**2.\nAnswer: -1764*sqrt(7) + 12789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 1013726.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 2:59 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -11. Let w be (-255)\/9 - 2\/z. What is the units digit of 1*-2*w\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*z - 239, n = -z - 2*n + 147. Calculate the highest common divisor of z and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480 = -5*g + g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.3 (b) -6 (c) 1\/4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**4\/9 - 82*k**3\/9 + 155*k**2\/3 - 76*k = 0.\nAnswer: 0, 3, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*p + 11345 = -0*p, l - 11352 = 4*p. What is the remainder when l is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -349*c**2. Let t(y) = -4*y - 33036. Give t(i(z)).\nAnswer: 1396*z**2 - 33036","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5920621 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2216120529.\nAnswer: 3, 7, 31, 109, 31231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3*0.00151\nAnswer: -0.00453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/35 and -7\/524040.\nAnswer: 3668280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (7 + -3 + -10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/6225166 or 0?\nAnswer: -3\/6225166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0247 + -0.025465. Round j to 5 dps.\nAnswer: -0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*v - 6224 + 5906 = 0 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*i + 6778 = 5*k, 2701 = 2*k + 3*i. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(-9 - 20403\/(-2268)) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/11, -2, 3\/5, 0.4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 388964 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1007, 0, -2, 1 in decreasing order.\nAnswer: 1, 0, -2, -1007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/1503692 and -87\/14?\nAnswer: 10525844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*i + 19, 0 = -4*i + 4*x - 0*x + 28. Suppose -t = -0*t - i. What is the second derivative of -10*f**2 - 9*f**2 + t*f + 15*f**2 wrt f?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/14)\/(-15*48\/(-72))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-11) + 207\/(-495).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-2)*14\/(-21). Let a = -105 + 106. Suppose -6 = 4*y - 2*y. Sort y, a, z in descending order.\nAnswer: z, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + d + 4. Let u(x) = -102*x**2 - 4*x - 23. Let a(k) = 2*q(k) + u(k). Find the second derivative of a(f) wrt f.\nAnswer: -200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 880993608.\nAnswer: 2, 3, 11, 103, 179, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1227670, -1227683, -1227694, -1227703?\n\"Answer: u**2 - 16*u - 1227655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 489 = 2846*q - 2817*q + 1620 for q.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 734 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2. Let h(g) = 13*g**2 - 6*g. Let k(x) = -481*x**2 + 221*x. Let l(o) = 221*h(o) + 6*k(o). What is l(y(r))?\nAnswer: -52*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/546 and 163\/1560.\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 + 60. Which is the closest to -1? (a) -2\/3 (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 117*m**2 - m. Let c(w) be the first derivative of -3*w**2\/2 - 1602. Determine s(c(v)).\nAnswer: 1053*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13100 + 2101?\nAnswer: -10333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 9*j**3 + 1. Suppose 2*d = -0*d, -4*d + 10 = 2*n. Suppose -3*m + 23 = -n*u + 1, -u = -3*m + 14. Calculate the least common multiple of m and a(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15177906491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10921*d**3*l**2 + 2*d**3 + 63*d*l**2 - 34*d*l + 4*l wrt d.\nAnswer: -65526*d*l**2 + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -607 > -545?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21\/49 + (6 - (-8948)\/28) is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, -10\/239, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 1. Let t(b) = -3*b**2 + 6*b + 1. Let x(g) = g. Let w(p) = t(p) - 6*x(p). Calculate k(y) - w(y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.4 (b) 2\/15 (c) -132 (d) -4 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - d**2 + 2*d - 1. Let t = -1 - -2. Let j be r(t). Let a = 14.9 - 15. Are j and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = r. Let l(q) = r*q - 4*q + 4*q + q. Let u(x) = 27*x**2 - 4 + 4 - 34*x**2. What is l(u(y))?\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 1:22 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3136 - 0.2728. What is r rounded to 3 decimal places?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21713, -21646, -21535, -21380, -21181, -20938, -20651?\nAnswer: -20320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 31*k**2 - 307*k + 83. Is o(12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/49 and -40\/21.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 29*a**2 - 103*a**2 + 73*a**2. Let k(w) be the third derivative of 0*w**4 - 1\/20*w**5 + 0*w**3 + 2*w**2 + 0 + 0*w. Give k(o(n)).\nAnswer: -3*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*b + 45 = 0. Suppose 3*f - 8*f = -b. Factor 0*c + 0*c**3 - 8*c + 16*c**2 - 4*c**f - 8*c.\nAnswer: -4*c*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 7080\/123707?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/1700)\/(94\/940).\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 10*k. Let f be p(10). Suppose 16 - 6 = 2*b. Suppose -5*u + 6*u - b = f. Solve -5*o + 0*o = -w - 29, 4*w = u*o - 41 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l - 61969 - 19546 = 0. List the prime factors of l.\nAnswer: 5, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -208 and -18287.\nAnswer: -18495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(396) + 1)*2 + 2 + -5*(3 + ((sqrt(396) - (sqrt(396) - (sqrt(396)*-1 + sqrt(396)))) + 2)**2).\nAnswer: -33 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 551372976 by 231.\nAnswer: 2386896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -7. Suppose t*b - 6 = 9. What is the second derivative of 3*v**b - 4*v**3 + 2*v - v wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a17351 - -160?\nAnswer: a174b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**4 - 10*m**3 - 55*m**2 + 60*m.\nAnswer: 5*m*(m - 4)*(m - 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus -1697.3?\nAnswer: 1696.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 37 - 0. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 332012230 (base 4) to base 2.\nAnswer: 111110000110101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1660 is divided by 3\/(-4)*328\/246 - -278.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -19. Suppose -2*k + 30 = l, -u*k + 75 = -6*l + 2*l. Suppose -5*q + 5 + 20 = 0. Calculate the greatest common factor of q and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50474340 and 7140.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -11*b - 23. Let v be (0 - (-1)\/(-3))\/(2\/30). Let t be s(v). Solve 0 = j - 5, -4*j + t = d + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/117*9)\/((-216)\/(-288))?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a - 18. Let n(l) = -2*l + 38. Let j(r) = -9*i(r) - 4*n(r). Suppose 0 = -z - 4*h - 12, 24*z - 27*z - 4*h = -4. Give j(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -13*q - 141. Calculate w(-15).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 441 - -248. Let q = 988 - i. Suppose -3*a - 2*z + q + 46 = 0, 345 = 3*a + 5*z. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.597 - 3.577. Which is the nearest to -8? (a) 3 (b) -1\/6 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1602 is divided by 400.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7475 or -7478?\nAnswer: -7478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -810 <= -802?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k - 20905 + 133424 = 0. Round k to the nearest 100.\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535477 is divided by 192.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4834855*b**2*f + 7*b*f + 1073*f wrt b.\nAnswer: 9669710*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 4*d = -0*t + 89, 4*d = t - 21. Do 16 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 2*c - 1203*c**2 - 10002*c**2.\nAnswer: -11205*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 320 and 4623040.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 0*v - 1358*v**3 + 17 + 12*v**2 + 1357*v**3 - 13*v. Give g(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10203 (base 4) to base 10\nAnswer: -291","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 5*c**2 - 6*c + 4. Let a be y(-6). Suppose -95 = -5*o - j, 0 = 3*o - a*o - 3*j + 33. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58.02783 + 58. Round n to 3 dps.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -104, 2, -6 in decreasing order.\nAnswer: 5, 2, -2, -6, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -113310 (base 4) to base 13\nAnswer: -903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 2\/2)\/5. What is the nearest to 4\/3 in 3\/8, -1, q?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4860)\/1080)\/((-18)\/(-88))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 + -33.4. Let z = -0.4 - t. Which is the closest to 2\/7? (a) z (b) 5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3077119326 to the power of 1\/5, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n + 5. Let u be l(-5). What is the common denominator of 1859\/468 + (-2)\/(-8) and -3 - (u\/(-8) + 1)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-2 - (6 - 3 - 4 - -3)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4624*z**3 - 758880*z**2 + 3787788*z - 4656964 = 0 for z.\nAnswer: -169, 83\/34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 27*q - 394, 16592 = -2*q + 16620 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -32562 minus 6616?\nAnswer: -39178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-6*6*sqrt(19)*2)**2 + (sqrt(684)*1 + 5 - sqrt(684) - sqrt(684))**2).\nAnswer: -396820 + 240*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -47423, -47362, -47301?\n\"Answer: 61*v - 47484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/14*(-14 + -1). What is the greatest common factor of h and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**3 + 3*o - 3*o)*(-2 - 2*o**2 + 2) - 236*o**5 + 2*o**4 - 227*o**5 - 5*o**3 + 454*o**5.\nAnswer: -11*o**5 + 2*o**4 - 5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 24703?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 8307605*n**5 + 57766535*n**4 - 2702400*n**3 + 31500*n**2 = 0.\nAnswer: -7, 0, 30\/1289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 47*z + 513. Let x be t(60). Sort 5, x, -3 in decreasing order.\nAnswer: 5, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 169*k**2 - 1029*k + 227622. Determine v(167).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 9:54 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03 + 0.06. Let o = 3.03 - v. Let x = o + -3. Which is bigger: -0.1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -6) + 0 + -9.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3*p + 11, 0 = 3*p - 5*m + m + 1. Find the second derivative of -56*w**2 + 56*w**2 - 13*w + 8*w**p wrt w.\nAnswer: 160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/(-24 + 13) - (7 - 12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**14\/o*o)\/o*o**14 assuming o is positive.\nAnswer: o**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - (-1 + -1)) + (-8)\/(-2). Suppose -5*g + g + 40 = 5*v, 0 = -4*v - p*g + 36. Calculate the highest common divisor of v and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4440493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvg when three letters picked without replacement from ccvcvvvvvrgvcll.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 435102 (base 6) to base 16.\nAnswer: 8d0e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11905 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s + s + s)*(5 + 277*s - 276*s - 7 + 7*s**2) as g*s**3 + w*s**2 + q*s + v and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2 + 1\/2*a**3 - 1\/2*a - 1\/2*a**2.\nAnswer: (a - 1)**2*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*6*(-2)\/(-2)*-2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p - 27*p**3 + 25*p**3 + 6*p**4 + 15 - 13 to f*p**4 + y*p**3 + d + c*p + m*p**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b - 40 = -2*u, 5*u + 1405 = 4*b + 1409 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -17*f**3 + 6*f**2 - 6*f + 11. Let x(q) be the first derivative of -3*q**4\/2 + 2*q**3\/3 - q**2 + 4*q - 66. Calculate 4*d(r) - 11*x(r).\nAnswer: -2*r**3 + 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4777.471 * -0.3\nAnswer: 1433.2413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of 0 - 2*v**2 + 0*v**3 - 1\/4*v**4 + 0*v. Let m(f) = -197*f + 203*f - 2*f. Give m(r(s)).\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -0.13, 2\/13, 5, -1\/33 in increasing order.\nAnswer: -4, -3, -0.13, -1\/33, 2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 395280 divided by 405.\nAnswer: 976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -1, 1.05?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*28\/112)\/(3\/(-102)).\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 46 and -16746.\nAnswer: -770316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 221473563?\nAnswer: -664420689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18*x**4 + 2*x**4 - 7*x**4)*(-17 + 68 + 32) to i*x**2 + j*x**3 + k*x**4 + h*x + r and give k.\nAnswer: 1079","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k + 30 = 5*p - 31*k, 4*p + 3*k = 38. What is the remainder when 933 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32082336 and -0.1.\nAnswer: -3208233.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -2\/17, -8\/5, 0.05, 2\/3 in descending order.\nAnswer: 2, 2\/3, 0.05, 0, -2\/17, -8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i - 24. Suppose -14 = m - 5*n + 3, 3*n - 12 = 0. Let s(c) = -c - 12. Let o(b) = m*w(b) - 7*s(b). Give o(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sh when two letters picked without replacement from {h: 2, e: 1, r: 1, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/9, -0.01, -0.2 in descending order.\nAnswer: 5\/9, -0.01, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -5. Is 3*f\/(-12)*298 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 3*j**2 + 4*j - 3. Let z be h(-4). Let l(r) = r**3 + 2*r**2 - 2*r - 4. Let i be l(z). Does -6 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 plus -23070752.000532?\nAnswer: -23070751.700532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 289953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1\/7)*o\/o**10)**48\/(((o\/(o**(-2)\/o))\/o)**33)**(-24) assuming o is positive.\nAnswer: o**(13992\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19.86 + -20. Let n = 0.84 + k. Sort n, -2\/3, -0.1 in decreasing order.\nAnswer: n, -0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/100?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5930 and 178.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -29*t - 9. Let k be x(-7). Let i = -32 + k. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51)\/(sqrt(147)*-2))**2 + sqrt(153) + -3 + -5.\nAnswer: -1551\/196 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-70)\/(-8) + 8\/(-96)*-15. Suppose 4357 = u*q - 3803. What is the highest common factor of q and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/1273 and -16.\nAnswer: 1273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1097*u**4 - 1742 - 1790 + 3629 wrt u?\nAnswer: 4388*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 8*y = 85, -20 = 18*w - 19*w + y. Solve 26 = w*b + b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0*(-12)\/108)\/19. Solve 39*h - 53*h + 28 = i for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 244 and 2?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6040 + 31456?\nAnswer: 40526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*36794.2.\nAnswer: -147176.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = z + 142, -3*z + 5*i - 275 - 151 = 0. Let r be z\/(-6) - 1\/(-3). Suppose r = 3*c - 33. Calculate the remainder when c is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25759929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - h - 14 = 14, 4*b - 36 = 2*h. Calculate the least common multiple of 22 and (-4)\/b*10\/(-1).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5213 + 6 + -14 + 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(36\/9)*(-90)\/36.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a0887 + -4?\nAnswer: 1a0883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 254, 504, 754, 1004, 1254, 1504?\n\"Answer: 250*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26698 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5 + 5*k**2 - 2*k**2 - 4 - 4*k. Let i be y(3). Suppose 0*z = -2*z + 6. Solve -i = -m - z*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53922215153820 - 53922215429112.59099941. Let t = a + 275292.7. Let y = -0.109 + t. What is y rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 9:37 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -867, -848, 961, 5454, 13525, 26068?\nAnswer: 43977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a**3 + 0*a**3 + 0*a**3)*(1 + 1 - 1) + (0*a**3 - 4*a**3 + 2*a**3)*(0 - 3 - 2) to the form q*a + n + m*a**2 + i*a**3 and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -112264 and 4.\nAnswer: -112260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*m + 3 + 10, 0 = 4*m - 4*o - 24. Suppose 0 = 3*i + m*i - 32. Suppose -i*j + 34 = 10. What is the second biggest value in -5\/4, j, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 1. Let i be r(0). Let m be (i - -2)\/((-1)\/3). List the prime factors of (14\/m)\/(8\/(-12)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25 or 336?\nAnswer: 336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-4))\/((-4)\/(-16)). Let c(a) = -79*a + a**2 + 79*a + 3 + 0*a**2. List the prime factors of c(r).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(r**2 - 2*r**2 + 3*r**2) + 44*r**2 - 77*r**2 - 124*r**2 + (-r + 1 - 1)*(-2*r + 5*r - 2*r).\nAnswer: -162*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -457 * -2\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -371127127 or -1113381377\/3?\nAnswer: -1113381377\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - ((1 - 11) + 118 + -119).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*d*u**2 + 7*d + 3532*u**2 + 15*u + 947317 wrt u.\nAnswer: -18*d*u + 7064*u + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 8. Suppose 20*w + 26 = 7*w. Let p be j(w). What is the third derivative of 0*h**6 + 26*h**2 - p*h**6 + 33*h**6 wrt h?\nAnswer: 3240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 h when three letters picked without replacement from {h: 4, y: 1, v: 2, l: 3, m: 4}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 411418 and 1750?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1916 = -8*r + 620. Let v = -24 - r. Let s be (v\/8)\/((-15)\/5). Which is greater: -6 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((0 - -4) + -3). Suppose n = -r*n. Suppose 12 + n = w. Solve 2*o - 8 = -3*l, 2*l + 3*o = 6*l + w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10.1 - -10. Which is the second smallest value? (a) 3 (b) 1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2541718287*a + 707*a**3 + 2541718287*a.\nAnswer: 707*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 35103 to the power of 1\/2, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6.785283 millimeters?\nAnswer: 0.006785283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.5529146 nanoseconds?\nAnswer: 0.0000000005529146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -36*p. Let a(j) = 48951*j - 49. Give z(a(o)).\nAnswer: -1762236*o + 1764","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -313*h - 2187. Calculate o(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 3*y - 24, 3 = -q + 2*y - 2. Let o = 9 + q. Let n(a) be the third derivative of a**6\/60 - a**5\/60 - a**4\/12 - a**3\/6 + 16*a**2. What is n(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d + 14. Let z be o(14). Let t(b) = -b**2 - b + 1. Let v be t(-3). Sort -1, z, v in descending order.\nAnswer: z, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 18 = 12*f. Let l = 0.5 + -0.6. Let w = 0.6 + l. Which is the second smallest value? (a) f (b) w (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 69*x**2 - 240*x - 96. What are the prime factors of y(-66)?\nAnswer: 2, 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/307, 2\/25, 1, -3, -3\/16, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/7)\/(1\/((-4)\/12))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18982700 rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 199, -1074, -3191, -6140, -9909, -14486?\n\"Answer: 2*b**3 - 434*b**2 + 15*b + 616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w - 10*w = 0. Suppose -96*i + 99*i + 18 = w. Let q be (-4)\/(-12) + 56\/i. Which is greater: q or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oaa when three letters picked without replacement from wajhowovjovavawv.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (325\/130 - (-26)\/(-4))*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13856 or 13851?\nAnswer: 13851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**3 + 7*f**3 - 2*f**3 + (-f**3 + 3*f**3 - 3*f**3)*(0 - 2 + 1) + (2*f**2 + 0*f**2 - 4*f**2)*(-2*f - 4 + 4) + 3 - 6*f**3 - 3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djddjdddjnj. Give prob of sequence dndj.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28141143*b**2 + 761736*b + 162.\nAnswer: 56282286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 3. Let s(j) be the third derivative of j**5\/60 + 5*j**4\/24 - j**3\/2 + 15*j**2. What is the smallest common multiple of s(f) and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.204, 0.4, 0.05, -3\/4.\nAnswer: -3\/4, 0.05, 0.4, 1.204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (6 + 364\/(-20))\/((-9)\/135) is divided by 50?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1629426.3ns to minutes.\nAnswer: 0.000027157105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6262953 smaller than 6262953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 87*k**2 - 1023*k - 56. Give r(-73).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16.96 + 16.9. Put 4, q, -11, -3 in descending order.\nAnswer: 4, q, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 5*v - 48, 10*y - 5*v + 15271 = 15211 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10221121221011 (base 3) in base 16?\nAnswer: 200635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l**3 + 7*l**2 - 35*l**2 + 22*l**2 - 6 - 6*l. Let s(z) = -z**3 - z**2 - z - 1. Give 5*d(v) - 30*s(v).\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28881 and 36?\nAnswer: 115524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -790 = -775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 46420.28 centimeters in kilometers?\nAnswer: 0.4642028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -61*l**3 + 6*l. Let m(f) = 550*f**3 - 55*f. Determine -6*m(o) - 55*p(o).\nAnswer: 55*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.086 * -0.062\nAnswer: 0.005332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 120 - 84. Suppose 5*i - 2*g - 128 = 0, 2*i - l - 12 = 4*g. Let m be (-65)\/i*(-3)\/(30\/8). Let s(c) = c**3 - 2*c**2 - c + 1. Give s(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-135)\/(((-5)\/25)\/((-1)\/(-3))). Calculate the highest common factor of 36 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132) - sqrt(132)*-1)\/sqrt(4))\/(sqrt(3) + sqrt(72)\/sqrt(6)) + 4*4*(sqrt(88)\/sqrt(128) - ((sqrt(44) - sqrt(11) - sqrt(11)) + 0)))**2.\nAnswer: 2156\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 4, 7, -9, -4, -3, 3 in decreasing order.\nAnswer: 15, 7, 4, 3, -3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -885488, -1772384, -2659278, -3546170, -4433060, -5319948?\n\"Answer: y**2 - 886899*y + 1410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1989*l - 1983*l = -18 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.109 and 2741.7?\nAnswer: 2741.809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*x = -26*x - 3*w + 6, -5*x - 4*w = -9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1424 divided by 2.\nAnswer: -712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 + 33. Let f = 1.7 + 0.3. Let v = -14 - -9. Which is the closest to q? (a) f (b) v (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27601 + -27090. Calculate the remainder when z is divided by 504.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -1\/10*i**6 + 0*i**2 - 2*i + 0*i**5 - 2\/3*i**3 + 0*i**4 + 0. What is the second derivative of q(w) wrt w?\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.39 times -28140361\nAnswer: 10974740.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3580*k**2 - 15856*k + 17392 = 0 for k.\nAnswer: 2, 2174\/895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46042*c**2 - 9104*c**2 + 13608*c**2.\nAnswer: 50546*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2649*l**3 + 1 + 2200*l**3 - 4 + 581*l**3 in the form z*l**3 + u*l**2 + b*l + d and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -15*p. Let b(t) = 2*t + 3. Let m(v) = -3*v - 5. Let z(o) = -5*b(o) - 3*m(o). What is y(z(i))?\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 1.1. Let h be (-8 + 19\/2 + 2\/(-1))*8. What is the nearest to p in 0.3, 1.9, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1139685 or -1139683?\nAnswer: -1139685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = v - 18, 95*v - 3*a - 21 = 93*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 - (-109 + -48 + 299)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4968 and 40089?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9728 and 8752464.\nAnswer: 280078848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 207117?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -110?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2556, -2814, -3234, -3816, -4560, -5466?\nAnswer: -6534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 3*g + g)*(-g**2 + g**2 + 2*g**3).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.001 - -0.22. Let i = -0.24 + l. Let f = i - -0.02. Round f to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 915689989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16 - -1c6749?\nAnswer: 1c675f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.5, 2\/18863, -1 in ascending order.\nAnswer: -1, 0, 2\/18863, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - -1 - (-9)\/(-6). Let w = -7185 - -7085.06. Let g = w + 100. Which is the closest to 1\/2? (a) m (b) g (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 9:35 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + 0*b - 3*b)*(0*b**2 + 3*b**2 - 2*b**2) + 14*b**3 + 122*b**3 + 28*b**3 as v*b**3 + g + f*b**2 + o*b and give v.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.4, 0, 25117491?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-45*t + 36*t - 156*t)*(-2*t**2 - 4*t**2 + 4*t**2 - 4) to the form r + z*t**2 + n*t + m*t**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 15*o**2 + 13*o - 9. Let u be a(-14). Suppose 0 = u*b + 2 - 22. Calculate the remainder when 129 is divided by (-128)\/(-5) - (132\/(-30) + b).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 105*z**2 - 3. Let a(w) = w**2 - 1. Let b(s) = 3*a(s) - f(s). Let n(r) = 125 - 230 + 2*r + 105 - r. Determine b(n(g)).\nAnswer: -102*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10370233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 12.5. What is the closest to 0 in -4, -5\/3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1797, 3598, 5397, 7194, 8989, 10782, 12573?\nAnswer: 14362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -45, 23, 13, 10.\nAnswer: -45, -1, 0, 10, 13, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00567 rounded to 4 decimal places?\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxzzz. Give prob of sequence zxx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -0.2, -207, 1\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -172*a**2 + 3235324*a\/9 - 8360\/9.\nAnswer: -4*(a - 2090)*(387*a - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 9:19 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) + -1 - 3*sqrt(42)\/sqrt(6) - ((-2*sqrt(140) + sqrt(140))\/sqrt(5) - sqrt(28)*1*-6)**2.\nAnswer: -701 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9863, 19674, 29485, 39296, 49107, 58918?\nAnswer: 68729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**3 + a**2 - a**2 + (-24*a + 19*a - 55*a)*(a + a + 2 - 1)*(2 + 5*a - 2).\nAnswer: -601*a**3 - 300*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**2 + 4*v**2 - 2*v**2 + 0*v**2 + v**2 - 3*v**2 + (1 - v - 1)*(2 + 2*v - 2) - v**2 + v**2 - 2*v**2 - v**2 + 0*v**2 - v**2 + v**2 - v**2 - 2*v**2.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 58, -3 in decreasing order.\nAnswer: 58, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2788 = 20*q - 21*q, n - 563 = -2*q. What are the prime factors of n?\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1456380, 2912791, 4369202?\nAnswer: 5825613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 2535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 11 (b) -18 (c) 1693\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -51, -57, -65, -75?\n\"Answer: -z**2 - 3*z - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 8:20 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 0*s + 3*s + s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by -1?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -52235535?\nAnswer: -52235544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 89.4 - 90.2. What is the third smallest value in b, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/17, 0, 1, 123?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -28. Calculate the greatest common factor of n and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2. Let m = -10 + 2. Let l(t) = t**2 + 30*t + 6. Let v(x) = -10*x**2 - 250*x - 50. Let h(f) = -25*l(f) - 3*v(f). What is m*q(g) + 3*h(g)?\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) -3 (c) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 6:32 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -6 - 2. Let u be j - (-3 + 16\/4). Let g = 0.1 + -0.2. Which is the second smallest value? (a) 4 (b) u (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(468) + sqrt(468) + -1)*-5 + sqrt(468)*-1 + -1 + -4)**2.\nAnswer: 660*sqrt(13) + 56653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyyllztltt. What is prob of sequence zy?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2443 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 16*w = -16 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - ((36 - 35) + -9 - 8)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -351426 (base 7) in base 9?\nAnswer: -105353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwnwnwwnwn. Give prob of sequence nwnw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1503138515 to the power of 1\/2, to the nearest integer?\nAnswer: 38770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - m. Let c be b(2). Suppose -35*w - 289 - 272 = -52*w. Let d = w + c. What is the least common multiple of d and 21?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 3) + 0 - (-14)\/(-28).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -1. Let a be -1*h*(-3)\/2. Let i(q) = 2*q**3 + 12*q**2 + 2*q + 8. Let v be i(-6). Put a, v, 5 in descending order.\nAnswer: 5, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -918561 less than -1131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 189 + (-31847025)\/168300 + 4\/17?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w - 6. Let i be y(-9). Suppose 2*k + 3*h - 12 = 0, -k = 3*h - 4 - 8. Suppose k = 3*o - i - 3. Which is smaller: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 157222910 to the nearest integer?\nAnswer: 12539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 m when four letters picked without replacement from {p: 1, q: 2, m: 6, v: 9}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + c + 0 + (-c + 0 + 0)*(4 - 4 - 1) + 3*c - 5*c + 4*c - 1 - c + 1 + (0 + 0 + 2*c)*(-2 + 2 - 1) + 6*c + 16*c + 10*c + 2 - 2 - 3*c.\nAnswer: 30*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -95 - -96. Is -34 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**2\/5 + 40729*t\/5 = 0.\nAnswer: -40729, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -3*q + 2635, -f + 2*q = -114 - 413. Is 24 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/22)\/(184\/(-95128))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -539 - -826. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 32 = -3*x. Suppose -x*a - 32 = -197. Suppose 0 = -5*c + 4*g + 62, 2*g = 3*c + g - a. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218898*x - 216417*x + 435342*x.\nAnswer: 27*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55 and 7040.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - d**2 - 89*d + 10. Let y be a(-9). Is 1\/891 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000016484508 to 7 dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-8\/9))\/t)\/t**(3\/2)*(t**(-2\/9))**(-38))**(3\/32) assuming t is positive.\nAnswer: t**(47\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 383429.\nAnswer: 383429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4939 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 0*m**5 + 0*m + 0*m**2 - 19\/4*m**4 + 132 + 1\/6*m**6 + 77\/3*m**3. What is the third derivative of y(f) wrt f?\nAnswer: 60*f**2 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and -26.1?\nAnswer: 0.522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 2 u, and 1 j when four letters picked without replacement from {w: 1, j: 3, u: 6, p: 1, f: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 2\/15, -284?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158887 is divided by 50.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (116\/16)\/29*4\/23?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -c20 (base 13) to base 3\nAnswer: -2211002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(680\/(-51))*24?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + (-145)\/(-70) + 41*(-23)\/1540 and 61\/1760.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 - -0.4. Let n = -11.4 + 11. Let b = 0.5 + n. Sort u, b, 1 in increasing order.\nAnswer: u, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 11:20 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 256 = -74. Let j = p + -89. Solve -z - j = -3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -38*o**2 + 4*o - 2. Let u be c(-3). Let b = u - -500. What is the greatest common divisor of 18 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -55, 1, 17650.\nAnswer: -55, 1, 2, 17650","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -3*d. Suppose 0 = -s + 2, -y - 3*s + 0 + 4 = 0. Let f be (0 - y) + (2 - -2)\/2. Solve 0 = -f*w + 4 - d for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/1734 and -49\/33?\nAnswer: 19074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27 - 27 + 17*s**3 + (2*s**2 - 2*s + 2*s)*(s + 1 - 1).\nAnswer: 19*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -8. What are the prime factors of (-6 - -1)*(q - 0)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 4:29 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + b - b)*(0*b + b**3 + 0*b) + (3*b**3 + 2*b**3 - 3*b**3)*(2*b + 4 - 4).\nAnswer: 5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a hour?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 37982568.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 198*l - 127. Let t be h(1). Solve -69*x = -t*x + 6 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 1 (c) 5 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -3*b - 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 4. Suppose -46*p + 51*p - n = 25, -27 = -3*p + 3*n. What is the remainder when d is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y + 1. Let a = 2 - 20. Let l be (a\/(-8))\/(15\/40). Let n(j) = 5*j - 2. What is l*n(h) + 14*v(h)?\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - -13a9e?\nAnswer: 13aa5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -z + 5*a, 18*a - 14*a - 19 = -z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Calculate the greatest common divisor of 85428 and 270.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 16*a**2 - a - 1. What is the remainder when s(1) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/4*(-2672)\/25050*-1*140.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*l - 31 = 217, 4*z = -4*l + 336. Suppose 0 = -5*r - 15, 2*r - z = -5*q + 249. Let n = q - 29. Calculate the greatest common divisor of n and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 11:30 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -147.3 + 120. Let w = 27 + p. Let m = -6.4 + 6. Which is the nearest to 1? (a) m (b) 0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5247647, 20990559, 47228737, 83962175, 131190867?\n\"Answer: -v**3 + 5247639*v**2 + 2*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391 is divided by 175?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 3*j - 3. Let b be l(6). Let q be 2\/7 + (-687)\/b. Suppose -2*v + 5*v - q = 0. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1667 + -1664. Sort 4, -2, -5, z, 9 in descending order.\nAnswer: 9, 4, z, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**2 - 2 + 4*j**2 - j**3 + 7 - 2*j**2 to k*j**3 + f*j + x*j**2 + u and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 101351, 101355, 101359, 101363, 101367, 101371?\n\"Answer: 4*n + 101347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(2*4*9\/(-24))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 5.06. Let h = r + 0.34. Let g = h - 0.4. Which is smaller: -1\/3 or g?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 0*k = -5*k + 41, 870936*o = 870899*o + 3*k + 47 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 2961?\nAnswer: 17766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + 6. What is the remainder when m is divided by (-7)\/(-14)*-16 + 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x - 3. Let y be s(23). Let n(z) = 13*z + 29. What is the hundreds digit of n(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.833 - -0.167. What is the fourth biggest value in -0.3, -5, -0.9, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2243322 (base 7) to base 2\nAnswer: -1000100010010011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -89 + 110. Suppose 108513 = -12*a + m*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*w - 3*l, 6*w - 46 = -3*l - 10. Solve 2*j = -5*d - 35, -w*d = -156*j + 153*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7619 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h - 2*h**2 + 4*h**2 + 2 + 2. Let t be p(-6). Suppose 4*a - 2 - t = 0. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -379532.98 to the nearest 10000.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 7*m**3 + 3*m**2 + 12*m - 15. Let y = 13 + -6. Let q(i) = -8*i**3 - 2*i**2 - 13*i + 16. Let r(t) = y*d(t) + 6*q(t). List the prime factors of r(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3699572571?\nAnswer: 3, 9883, 41593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/8)\/((-1)\/20). Calculate the highest common factor of 225 and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 24 = 3. Let w(n) = -n**2 + 10*n - 19. Let y be w(8). What is the remainder when 2 - (y + -2) - -4 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -190*p**3 - 5*p - 9 + 8 + 3*p - 3*p**2 + 23 + 189*p**3 to g*p**2 + s + a*p**3 + m*p and give s.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 11*f**2 + 7*f + 14. What is y(12)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z + 4. Let d be m(4). Suppose -3*b + 24 = 5*w, -2*w - 7 = -4*b - 1. What is the nearest to 2\/7 in d, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 220716787 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4650 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, j: 1, s: 1, h: 6, m: 6, b: 3}. What is prob of picking 1 m and 1 b?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.1 - 0.1. Suppose 7*x - 6156 = 61*x. Let t be (-26)\/x + (-18)\/(-171). Which is the nearest to -0.6? (a) -0.1 (b) m (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 2*m - 2*b - 16, 0 = m - 4*b - 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-14)*(17 + (-185)\/15). Solve -3*z = -5*k + 16 - 26, -j*k - 30 = 4*z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(r - 5*r + 2*r) + 3*r + 4*r - 4*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5492547?\nAnswer: 3, 17, 35899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 0 - 7 = -5*r + 13, r = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 113884\/42042159 + 2\/57671. Let f = 29 + -30. Which is greater: m or f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -262470.5 to the nearest one hundred.\nAnswer: -262500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4706?\nAnswer: 2, 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + (sqrt(5000)*2 - (sqrt(50) + (sqrt(50) - -2*sqrt(50)*5)))\/(6*sqrt(10)*-2 - (sqrt(20)*-2 - sqrt(20))\/sqrt(2)).\nAnswer: -8*sqrt(5)\/9 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5153*j + 77*j**4 - 251 + 5153*j wrt j.\nAnswer: 308*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + q + 1 = 0, 4*g + q + 0 = 6 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 5 - 2)*(17*s - 5*s - 10*s) + 3*s - 2*s + 0*s as a + y*s and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 88\/21 (b) 0.38 (c) -0.5 (d) -4 (e) 4 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b + 8. Let u(p) = p**2 - 4*p - 54. Let k be u(-6). Suppose 0 = 21*q - k*q + 90. Calculate j(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 6*x**2 + 5*x + 3. Is s(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -195 divided by 65.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1819639, 6 in decreasing order.\nAnswer: 1819639, 6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/4)\/((-16)\/(-384)). Suppose -q = -2*q + 4*f - 9, -4*q + r = 2*f. Let v be (1 - 3) + q + 69. Calculate the greatest common divisor of v and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chzzzchhcchhhzchc. Give prob of sequence hz.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2 + (-2 - 2 + 3)*(2 + 2 - 3))*(-7 + 2 + 2)*(2 + d**2 - 2 + (-d + 0 + 0)*(8*d - d + 0*d)).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4\/5 - 27*k**3 + 1848*k**2\/5.\nAnswer: -3*k**2*(k - 11)*(k + 56)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 229798 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133.51128 hours to weeks.\nAnswer: 0.79471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/15)*p)**(-25) assuming p is positive.\nAnswer: p**(-85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 3*o - 3 - 1 + (0 - 3*o + 0)*(5 - 3 - 1) as f*o + i and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 18*w - 10 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 42456 and -8.32.\nAnswer: -353233.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156, 600, 1048, 1500, 1956, 2416?\nAnswer: 2880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 0 = -3*y. Let c = y + 7. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15\/8 - -61\/24. Sort 0.1, 1\/3, y in increasing order.\nAnswer: 0.1, 1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -298 and -298 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -1) + 22 - (-10 + (4 - -32 - 16))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5*-3*sqrt(243) + sqrt(243))**2 + -5*((sqrt(243) + 2)**2 + 3).\nAnswer: -180*sqrt(3) + 189262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggu when three letters picked without replacement from {g: 2, r: 7, u: 6}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 11 + 13 = 4*y, 4*y = -y - 5*h for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 3:18 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6*((-52)\/(-351))\/(-4)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -19882340.\nAnswer: -1\/4970585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 5.7. Let s = 36 + 4. Let j = -39 + s. Sort 4, j, p.\nAnswer: p, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*w - 10 = -24*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -490.8\nAnswer: 49.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242292 is divided by 121105?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 173485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 12 - 40 = 0. Suppose 0 = h + 4*f + n, 5*h - f - 4*f = 15. Let v = -29 + 36. What is the remainder when v is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**3 - 2605568*j**2 - j - 38272152.\nAnswer: 12*j - 5211136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + -142\nAnswer: -141.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 4*y + 5*m - 35 = 0, -20 = -y - 5*m for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 41 - 12 - 7*d - 24 - 26 as a + c*d and give a.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(210))\/sqrt(5))\/(sqrt(96)*1).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 734895960 a multiple of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 0.7 (c) 5 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/2*8\/16. Suppose -4*m + 60 = -5*d, i = -m - d + 16. Does 9 divide m + (-4)\/4*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 11*u**2 + 135*u**2.\nAnswer: 146*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*a + 156 = 483, -3*t = -5*a - 319. Calculate the remainder when t is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(-2 + 5 - 1)*(-275 - 15*s**2 - 3*s + 275).\nAnswer: -60*s**2 - 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from fhhffdhddhfh?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 56 - 44, -5*x - 31 = -9*l. Let o(v) = -62*v + 186. Let s(m) = -1. Determine x*o(c) + 186*s(c).\nAnswer: -62*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.7236621 millennia?\nAnswer: 723.6621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(8\/3)*x**(-1\/22))\/((x*((x*x**(-3\/17))\/x)\/x*x)\/(x\/x**(2\/7)*x)) assuming x is positive.\nAnswer: x**(27583\/7854)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17584.5902 rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.01? (a) -4 (b) 2\/9 (c) 0 (d) -41.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -8, 26 in descending order.\nAnswer: 26, 4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 2*p - 4*p)*(0*p + p - 3*p) + (-2 + 2 - p)*(-4 - p + 4) - 2*p**2 + 0 + 0 + (p + 5*p - 3*p)*(-p + 4*p - 4*p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m**2 + 3*m**2 - m**3)*(0 + 1 - 4)*(-42*m + 68*m + 10*m) to the form l + w*m + s*m**4 + v*m**3 + q*m**2 and give s.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 243322*j**4 - 21*j**2 - 2*j + 100?\nAnswer: 5839728*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/4)\/t*t)**(3\/7)\/((t*(((t\/t**2*t)\/t)\/t)\/t)\/t**(-2)))**48 assuming t is positive.\nAnswer: t**(180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8870, -8156, -7442?\nAnswer: -6728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - 306\/(-36))*(-8)\/78\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 15) to base 3.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*l**2*y**3 + 2*l**2*y**2 - 292*l**2 - 12*l*y**2 - 2*y wrt y?\nAnswer: 54*l**2*y + 4*l**2 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 575 minutes after 7:58 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Divide -155 by -4497.\nAnswer: 155\/4497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(171)*-4 - (sqrt(19) + 1*(sqrt(19) - -4*sqrt(19)) - sqrt(19))*-1) + 5)**2.\nAnswer: -190*sqrt(19) + 6884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3782 - -222. Suppose 47*n - 36*n = w. List the prime factors of n.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oseoooxsossooxseoo. What is prob of sequence oso?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**5\/7 - 6*f**4\/7 + 6*f**3\/7 + 22*f**2\/7 + 12*f\/7 = 0. What is f?\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 + 2)*(2*v + 0*v - 4*v) + v + 4*v + 5*v)*(-4 + 1 + 2).\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 18*w - 40 = 0. Let x(q) = 4*q - 1. Determine x(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 2. Let c(b) = -3 + 2 + b + 5. What is the units digit of c(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 751421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(4\/2)*448*24\/840\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 29141?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 8*t + 4. Let n be i(-7). Does 13 divide -13*((4 - 2) + n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97066679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2. Let g(u) = -2*u + 16. Calculate q(g(y)).\nAnswer: 12*y**2 - 192*y + 768","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38855*p + 36 = 38859*p + y, 0 = -4*p - 5*y - 4 + 13 + 11 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - y + 6 - 16 = 0, v + 5*y = 16. Suppose 0 = -3*u + v*u - 6. What is the greatest common factor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 896.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*b**3 + 216*b**3 + 276*b**3)*(-15 + 15 + 4*b).\nAnswer: 2156*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 10*f**2 - 7*f + 8. Determine s(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 0, 19, 54, 105, 172, 255?\n\"Answer: 8*n**2 - 5*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/9))**(-20) assuming l is positive.\nAnswer: l**(20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3686 divided by -6.\nAnswer: -1843\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 77671219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 10*g**2 + 20*g. Let q(p) be the first derivative of 13*p**3\/3 + 21*p**2\/2 - 169. Let u(c) = 5*q(c) - 6*y(c). Factor u(t).\nAnswer: 5*t*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*o**2*p**3 - o**2*p - 18*o**2 - 5*o*p + 289*p**4 wrt p.\nAnswer: 30*o**2*p + 3468*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 4*f = -228. Let z = f - -55. Which is the third smallest value? (a) 0.1 (b) -3 (c) z (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 382 = -2*b, -184 = -b + 6*q - q. Is 21 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 43\/9 + (-24)\/(-108). Solve -o*v + y - 21 = 0, 2*v = -2*v - 3*y - 32 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -17*c**2 - 14*c. Let o(t) = -18*t**2 - 12*t. Let q(j) = 7*o(j) - 6*r(j). Let f(l) = 4*l. What is f(q(a))?\nAnswer: -96*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 10:55 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*b + 7139, 7*x + 4*b = 4*x + 4289. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u - u + 6. Suppose -14676 = -9*l + u*l. Suppose 288 = -4*i + l. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-18)\/(-252)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v - 2*v - 1 - 2*v. Let w be c(1). Let x(y) = 3*y + 22 - 22. Give x(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 628 and 32?\nAnswer: 5024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -24 - 5. Let o = 64 + s. List the prime factors of o.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 3. Let q be k(0). Suppose 0*v = -q*v + 15. What is the highest common divisor of v and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -2005 (c) 2\/15 (d) 67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -65466, -65468, -65470, -65472, -65474?\n\"Answer: -2*k - 65464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 52\/(-26) + 17*1. Let r be k*5\/15*-3. Let c = 21 + r. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 15*z - 19*z - 46, -85 = -5*i + 5*z. Let n(r) = r**3 - 21*r**2 - 22*r - 4. Calculate n(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30a36 (base 11) to base 12\nAnswer: -22184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 8. Suppose 16 = 2*h + f*h. Suppose 3*x = 5*j - 22799980, -h*x + 5*j - 6038779 - 24361201 = 0. What is x rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -0.5, 0.4, 0.5, -0.1, 70?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2, -12, -77\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(72)\/sqrt(27))\/(sqrt(3) + (sqrt(12)\/sqrt(4) - sqrt(3))*-1 + sqrt(3) + (sqrt(3) - (sqrt(3) + sqrt(432)*2))))**2 + 4.\nAnswer: 4358\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 84 = 7*u + 5*i, 5*i - 51 = -2*u. Let k be u\/6 + 1 + (-6)\/4. What is the tens digit of (-48)\/(-2)*1 - (2 - k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 3. Let l = f - 12. Solve -5*r = 4*m + 11, r + 3*r - 4*m + 16 = l for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 155 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/95179125 and -26\/11421495?\nAnswer: 285537375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 5:57 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t - 5*t + 0*t. Let s(d) = 2*d. Let h(x) = 2*x. Let c(u) = 3*h(u) - 4*s(u). Calculate c(m(p)).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4}. Give prob of sequence cccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q + 2. Let c be s(-6). Let k be (1\/(-1))\/(c\/72). Suppose 2*p + 8 = 3*b, 5*p + 0 = 5*b - 10. Calculate the greatest common divisor of k and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 - 5*i. Let h be x(4). Let o be (-606)\/h - 24\/(-16). Suppose -4*a + o = 17. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 6)*(2 - 4 - 1)*(h**3 + 17*h**3 + 15*h**3) + (-3*h**2 + 0*h**2 + h**2)*(-2*h - h + h) as g + n*h**3 + u*h + b*h**2 and give n.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 467, 935, 1403?\nAnswer: 1871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2446782\/(-44954) - ((-30)\/21)\/1.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*21\/9 + 9. Suppose q = -u*o + 8879, 0 = -o + 3*q - 197 + 4647. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 + -30. Suppose -13 = 3*v - f*v - 2*t, 0 = 4*v - 3*t + 42. Is v != -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110 - -50 - -47 - (-13 + 1) - -7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**3 - 14*t**2 - 146*t + 1142. Let p be f(10). Which is the second biggest value? (a) -1\/9 (b) -11 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 128076040 to the nearest 1000000.\nAnswer: 128000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46.8183 + 0.0183. Let f = -46.9 - v. What is the biggest value in 2\/7, 5, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16486*k**2*u**2*x + 7*k**2*x - 7*k**2 - k*u**2 + k*x + 17*k with respect to u.\nAnswer: -32972*k**2*u*x - 2*k*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 8*s**2 - 2*s - 14. Let j be g(8). Let q be j\/8*(-8 - -4). Solve 5*t + 20 = 5, 4*t + q = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 2)\/((-14)\/(-126)). Calculate the greatest common divisor of 333 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 5*k**3 + 16*k**2 + 13*k + 31. Let y be b(-3). Sort -3, y, 5, -5, 0 in increasing order.\nAnswer: -5, -3, 0, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, i: 1, k: 2, d: 6, x: 8}. Give prob of picking 3 x.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73359?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -16. Sort 2, -5, z in decreasing order.\nAnswer: 2, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 427162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 926332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = g + 4149. Suppose -1486 = -o - 2*m, 5*o - g = m + 3303. Round o to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 3*h + 2, -5*h = 3*j + 1 - 3. Factor -7*k + k**2 - 4*k**2 + j*k.\nAnswer: -3*k*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1166?\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9.09 and 0.7?\nAnswer: 6.363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (8\/(-6))\/(126\/189) + 1*86071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1414.058877us?\nAnswer: 0.0000000023380603125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-282)\/(-24))*((-40)\/25 - 0)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 37 = -5*o, 7 = -o - d - 3*d. Suppose -3*p - k + 0*k = -574, -o*k - 186 = -p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*n - 3*i, -4*n + 16 = 6*i - 4*i. Let c(m) = m**3 - 18*m**2 + m - 6. Let o be c(18). Suppose n*x - o = x. Let q(a) = -a + 6. Calculate q(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -343, -304, -239, -142, -7, 172?\n\"Answer: l**3 + 7*l**2 + 11*l - 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*l**2 - 22*l**2 + 9*l**2 - 1)*(2 + 1 - 1) to n*l**2 + p + o*l and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -202, -0.1, 0, -1 in descending order.\nAnswer: 0, -0.1, -1, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6089 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + 1 + 3 + 5 + -1 + sqrt(343))**2.\nAnswer: 224*sqrt(7) + 1436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119 is divided by 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -8. Let r be (-32)\/(-5) - g\/(-10). Suppose 0 = 2*h - r. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**3 - 100*p**3 + 11*p**3 - 48*p**3.\nAnswer: -138*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 5:00 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -104\/3209 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) - (sqrt(832) - sqrt(832)*-1)) + 2 - (sqrt(832) + sqrt(832)*2*4 + sqrt(832) + sqrt(832)))**2.\nAnswer: -384*sqrt(13) + 119812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**5\/80 - 5*n**4\/24 - 17*n**3\/24 - n**2 + 22*n. Find b such that d(b) = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59*5.\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -25315*d + 202495. Determine n(8).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, j: 4, m: 7, o: 5}. Give prob of sequence ommm.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Divide 73567515 by 1.\nAnswer: 73567515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 8.3. Which is the nearest to 0? (a) -5 (b) 15 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 37 = 125. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*m**2 + 3*m**2 + 0*m**2)*(4*m**2 + 3*m - 5*m + m) - 6*m**4 + 2*m**4 + 2*m**4 to the form s*m**3 + y*m**2 + p*m + t + j*m**4 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10, 711, 3, -17, -1\/5, -5, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1919 (b) -2 (c) -0.1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14466.68 + 14191. Let w = m + 276. What is the second biggest value in w, 1\/3, -0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 + 75. What is the remainder when 54 is divided by k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115001 is divided by 628?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12103 and 6838?\nAnswer: 6366178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -7*v. Let q(g) = 13464*g - 990. Let j(k) = 341*k - 25. Let i(h) = 198*j(h) - 5*q(h). Determine d(i(f)).\nAnswer: -1386*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g\/(g\/g**(1\/2)*g*g))\/g*g)\/g)\/g)**(3\/2)*(g\/(g**0*g*g))**(23\/4) assuming g is positive.\nAnswer: g**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4025*b - 6210585. Determine m(1543).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -980 smaller than -978?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 y when four letters picked without replacement from {i: 4, y: 4, g: 1, z: 1}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (102\/12)\/((-1)\/(-2)). Suppose -267 = -2*w + 4*o + k, o = -4*w + 604. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.8 or 23621?\nAnswer: 23621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10334 (base 6) in base 13?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 = -2*c - c + 5*x, 4*x = -5*c - 370. Let k be -2 - c\/(-4)*(-372)\/(-15). Let d = 631 - k. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 223783 and 50278103?\nAnswer: 4567","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/889 + 22297\/32004. Calculate the common denominator of x and 41\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1549829 is divided by 40.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 - 0.2. Let y = k - -1. Let u be (-2)\/10 + ((-1)\/30)\/(111\/74). What is the second biggest value in y, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13949\/1110 + (-1)\/5*2 and 23\/74.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 39*g**2. Let u(q) = -36*q. What is u(r(t))?\nAnswer: -1404*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 4*n**2 - 7*n + 9. Let m be (-13 + 11)\/(4\/3 + -2). Let z be j(m). Which is greater: -17\/6 or z?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 - 312232?\nAnswer: -312202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + d + 1. Let v(k) = -2*k**3 + 7*k**2 - 7*k - 7. What is -35*b(m) - 5*v(m)?\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*z + 3*z - 14*z + (2*z - 5*z + 2*z)*(1 + 1 + 3) to the form q + h*z and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*r - 17. Is r at least as big as 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p**4 + 50134072*p**3 + 41890412903808*p**2 + 11667418338954225664*p - 4666974038050963456 = 0. What is p?\nAnswer: -835568, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.118 + -1.882. Sort 2\/3, 2\/7, j, -6.\nAnswer: -6, j, 2\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 30*i + 32. Let n be f(4). Let x(w) = w**2 + 4*w - 2. Let b be x(-7). Calculate the greatest common factor of b and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-1)*(-8)\/12*1. Let l(q) = 18 - 15 - 6 - u*q. Let o = -9 - -5. Determine l(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7089305.\nAnswer: 5, 757, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9719 is divided by 396.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -60*t + 418. Let o be d(6). Suppose -o = 7*j - 338. Solve 7*m + 3*m = j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -22 - 326. Put -3, -1, o in ascending order.\nAnswer: -3, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjv when three letters picked without replacement from cljjclccclcvxccjl?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2965*t**3 - 3*t**2 - 3*t - 6. Let q(b) = -192717*b**3 - 196*b**2 - 196*b - 392. What is -196*j(a) + 3*q(a)?\nAnswer: 2989*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 386.03 + -388. Round r to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 4 - 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000489133201 rounded to seven decimal places?\nAnswer: 0.0004891","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2*u + 0)*(16*u - 11*u - 7*u) + (0*u + 2*u + 0*u)*(2*u - 2*u + 2*u) as g + l*u + t*u**2 and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**3 + 108*f**2 = 0.\nAnswer: -54, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 1\/18*z**5 + 1\/105*z**7 + 1\/30*z**6 + 6*z**2 + 1\/1008*z**8 + 0 + 0*z**3 + 1\/24*z**4 + 9*z. Find x such that n(x) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - 6*o + 2*o)*(-o**2 + o**2 + 2*o**2)*(-18 + 30 + 23*o - 15) to the form j*o**4 + k + i*o + s*o**3 + b*o**2 and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -84 - -88. Suppose 5*c + 2*m - 1587 = 0, k*c - 893 - 379 = -4*m. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**6\/120 - 11*z**5\/60 - z**4\/2 + 5*z**3\/3 - 5*z**2. What is the remainder when 57 is divided by m(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/6 - 2\/(-1). Let w = -0.2 + 0. Which is the closest to 0? (a) w (b) -2\/9 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-24)*(2295\/238 + -10))\/(-5)\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 15 + 7. Let k be (-9)\/18*(-9 - 1). Suppose 5*x - 4*z + 6 = 0, k*x - 1 = 3*z - 3. Solve g*t - s + 5 = -2*t, t = -x*s + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0269 * -0.6.\nAnswer: -0.01614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -326*l**3 + 326*l**3 + 2545*l**2 + 817*l**4 wrt l?\nAnswer: 19608*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10\/8*(-29)\/(29\/(-72)) is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) - (sqrt(208)*-2*-5 - sqrt(208)))\/(sqrt(72)*4))\/(sqrt(18)\/(-2*sqrt(9)*3)*4).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 6*j + 7. Determine o(10).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 3\/(-1) + 1. Let m = t + 2. Suppose 45 = m*v + 17. What is the remainder when 41 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*k - 10*k**3 + 3*k**3 - 81*k.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 4*l**2 - 5*l - 6. What are the prime factors of d(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -9*q - 113 - 118 + 216. Is z(-7) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6799, 13607, 20413, 27217?\nAnswer: 34019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1412313558?\nAnswer: 2, 3, 83, 2835971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-283)\/849)\/(5\/1005)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = -5*s + 4*p, 4*p + 8974 + 8953 = 4*s + 17967 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-21) + 36\/14. Sort 4, p, -3 in increasing order.\nAnswer: -3, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 11*b - 1. Let n = -3 + 5. Is v(n) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of b**5\/15 + 4*b**3\/3 - 931*b**2. Let l(m) = -8*m**2. What is j(l(d))?\nAnswer: 256*d**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 45810\/(-2036)*3616\/(-720)?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/((-25)\/(-10)))\/(-2 + 4). Let t = -4.9 + 3.9. Let x = 0.014 + 0.486. What is the second biggest value in t, x, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -10 + 2. Let t(d) be the second derivative of d**5\/20 - d**4\/3 + 2*d. Let b be t(z). Solve b = m + 7*h - 2*h + 15, 4*h = 5*m - 12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-174)\/29 - 7.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 577119068?\nAnswer: 2, 144279767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00079317 rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -4070*d. Let s(u) = 8*u**2. Give s(n(h)).\nAnswer: 132519200*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28560 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2860061358 + 2?\nAnswer: 2860061361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 43*x**2 - 93*x**2 + 49*x**2 - 7.\nAnswer: -x**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 1. Let x(o) = -3*o + 9. Let z(a) = 3*a - 8. Let b(i) = 3*x(i) + 4*z(i). Determine -b(m) - 3*g(m).\nAnswer: -3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 39781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(17) + (sqrt(68)\/sqrt(4))**2 + sqrt(17) + 2.\nAnswer: 2*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25088.4251 less than -769?\nAnswer: -25857.4251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - 2*sqrt(78)*-2)*-6)\/(sqrt(60)\/sqrt(40)*-1).\nAnswer: 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + ((-3)\/(-3) - 1) + 29. Let y = d + -21. Suppose y*z = 3*z. Solve z = 2*i - 6*h + 2*h - 4, 3*h + 3 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/17 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**4\/24 - q**3\/2 - 3*q**2. Suppose 13*s - 8 = 5*s. Let r be (-89)\/13 + (10\/(-65))\/s. What is d(r)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189 divided by -1.\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 111914 - 22?\nAnswer: 1118b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 41?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(28)\/(-1*sqrt(4)) + sqrt(7) + 1 + sqrt(63)))**2 + 2.\nAnswer: 150*sqrt(7) + 1602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2717 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -1430?\nAnswer: -429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 437963922 a multiple of 297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -a**3 - 207*a**2\/2 - 402*a + 1053. Determine z so that n(z) = 0.\nAnswer: -67, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 592193 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -106*f**2 + 14*f**2 + 1298*f**6 + 994*f**6 wrt f?\nAnswer: 275040*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 + 50 - 15 - 88.\nAnswer: p**3 - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*n**2 - 34*n**2 - 8*n**2.\nAnswer: -55*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**3 + 3*b**2 - 9*b. Calculate q(-4).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 240 - 238. Which is the third smallest value? (a) 4 (b) -0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 63222*h - 31844*h - 31566*h.\nAnswer: -188*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 49 = -4*m + 125, m = 5*p - 77 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 96*y**2 - 9*y + 96*y**2 + y**3 + 88*y**2 - 276*y**2 + 2. Determine i(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of k**4\/6 - 5*k**3\/6 + 2*k**2 - 8. Let a(x) be the second derivative of h(x). Give a(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81*z**3 - 2*z - 78.\nAnswer: 486*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -221*y**2 + y - 34. Let b(s) = -5. Determine -21*b(f) + 3*v(f).\nAnswer: -663*f**2 + 3*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 846957115.\nAnswer: 5, 169391423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -9*f + 179. Let q(l) = -13*l + 268. Give 5*q(w) - 7*y(w).\nAnswer: -2*w + 87","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + a - 9. Let v be i(-4). What is the second derivative of -3*t**3 - 2*t - v + t + 3 wrt t?\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 10. Let z(r) = r**3 - 48*r**2 + 213*r + 90. Let i be z(43). What is the second smallest value in i, -5, 0.5, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 - -49. Let l = 22 - 16. Suppose -n*d + l = -2*d. Solve 3*s - 4*t = -2*t - 22, 0 = 2*s + d*t - 7 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -4439 - 16033. Suppose b = -31*g + 37*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 6 = 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 99 = 5*w. Suppose 26*d - 21*d + w = 0. Which is smaller: -7 or d?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 3*i - 1. Let g(z) = -z + 1. Let w(q) = -2*g(q) + r(q). Suppose -2 = k, 2*k - 10 = 4*s + 7*k. Calculate w(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-6))\/(4334\/591)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 0 + 0)*(-2*b + 6*b - 3*b) + 50*b**2 - 10*b + 59*b**2 - 120*b**2.\nAnswer: -12*b**2 - 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 2*o = -8*s + 4, 2*s - o = -5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12.8 - 22.9. Let v = h - -14.1. Let f = 7.89 + -8. Which is the second biggest value? (a) -0.4 (b) v (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 492084602 = 492084602?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 37\/2 of a milligram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 6 = -2*u, 113737*i = -2*u + 113746*i + 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, d: 1}. What is prob of picking 1 d and 1 t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 41670062 + 1.1774\nAnswer: 41670063.1774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -3*c + 2*a, 5*c + 54*a = 49*a + 20 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + -17. Let w = d - -101. Suppose 0 = -3*x + 2*x - w. What is x rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1006880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s**2 - 3*s + 2. Let p be v(-3). Let f = 863730 - 863753. Which is smaller: p or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 17) + 15 - (5 + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/4)\/((-4)\/(-56)). Let l = i - -33. Let t(m) = 2*m**3 - 12*m**2 + 4*m + 5. Is t(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*c - 395 = 55 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 10*t**3 + 30*t**2 - 4*t + 12. Let m(i) = 3*i**3 + 10*i**2 - i + 4. Let k(g) = -2*j(g) + 7*m(g). Calculate k(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 3*w + 9 + 1, 5*w = -4*r + 6. Let p(v) = v**3 - 3*v**2 - 5*v + 2. Let f be p(r). Let i be (3\/(-9))\/(2\/6). Sort i, -3, f in descending order.\nAnswer: i, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/2 - 8407*x\/2 - 8405.\nAnswer: -(x + 2)*(x + 8405)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 931611 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijxjk. Give prob of picking 1 k and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -2*l + 5*f, 4*f = -2*l + 5*l - 54. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/6)\/(6\/(-27))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of -o**6\/24 - o**3\/6 - 3*o**2. Let q be r(-1). What are the prime factors of (-12)\/8*(-53 + 4\/q)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/3)*y\/(y\/((y**(4\/3)\/y)\/y))*y*(y**(-1))**(-18)*(y**(-1))**(-8)\/(y**(2\/9)\/(y\/((y*y\/y**(1\/7))\/y)*y*y)) assuming y is positive.\nAnswer: y**(1801\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/9 and -12\/1079.\nAnswer: 9711","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -t**7\/2520 + t**6\/144 + t**5\/120 + 41*t**4\/12 + 2*t - 11. Let m(o) be the third derivative of q(o). Give m(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 1046*h - 3127. Let r be a(3). Solve -26*q = -r*q + 30 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*d + 27363 = -51101, 3*d + 78464 = 4*t. Is 32 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 1005*w + w**2 - 1005*w. Let t(n) = -n**2 - n - 1. Let i(d) = -2*d**2 + 5*d + 5. Let v(b) = -i(b) - 5*t(b). Calculate v(f(y)).\nAnswer: 7*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 63402429 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*((-2*sqrt(637) + 0 - (-1*sqrt(637) + -5)) + 0 + sqrt(637) + -4 + 1))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/3 + 41*m\/3 + 230\/3.\nAnswer: -(m - 46)*(m + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 866735*b**2. Let y(t) = 4*t**2. What is r(y(g))?\nAnswer: 13867760*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 6*v - 13. Suppose -2*q = -3*p + 2*q + 862, 0 = v*p + q - 887. Calculate the greatest common factor of 42 and p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20333793 to the nearest integer?\nAnswer: 4509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -14504*g + 757. Is w(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmliliemiei. Give prob of picking 2 m and 1 e.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a**2*o**3 - 2197*a**2 - 43*a*o**3 + 2*a*o wrt o.\nAnswer: 6*a**2*o**2 - 129*a*o**2 + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 265 and 320.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d + 36 = 359. Suppose -14*u + 10 = -d*u. Let p = -3 - -6. What is the third biggest value in -1, u, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 11. Let d = 11 + g. What is the smallest common multiple of 5 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003690929 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.1 + -8.1. Let h = -0.4 - 3.6. Let v = 1.5 - 0.8. What is the smallest value in j, h, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7966737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -1001?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 5. Let u(d) = -d**2 - p*d - 2 - 3 + 2*d**2 + 2*d. Determine u(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 3*s**2 + 1\/12*s**4 + 0 + 1\/10*s**5 + 1\/20*s**6 + 1\/105*s**7 + 0*s + 0*s**3. Suppose p(b) = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 19*s. Let k(b) = 18*b**2 + 49*b + 1. Determine k(c) + 3*u(c).\nAnswer: 15*c**2 - 8*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -4*q - 4*n, 124*n - 127*n = -2*q + 24 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 14*m - 37. Let z be h(3). Suppose 0 = -z*n - x + 352637 - 1629142, 4*n + 1021185 = 3*x. Round n to the nearest 10000.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -3 + 1 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, y: 1, i: 9, m: 1, k: 2, e: 1}. What is prob of sequence rmie?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -146345 (base 7) to base 8\nAnswer: -67751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 + 104244*d**2 - 729622*d + 625380.\nAnswer: -2*(d - 52115)*(d - 6)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -625 + 625 - 37*a**3.\nAnswer: -37*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-378)\/78 + 4\/(-26). Let d(x) = x**2 + 8*x + 1. Calculate d(s).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 122*r**3 + 154 + 77 - 5*r**2 - 14*r**2 + 60*r**3 + 20*r**2 wrt r?\nAnswer: 1092","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -656*f - 402*f + 2393*f + 677*f - 3 + 1575*f to the form a*f + k and give a.\nAnswer: 3587","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 658217 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21 - 8 - 5 - 8 + 435*d to the form u*d + x and give u.\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -81 + 19*x**2 + 39 + 42 - 112*x**2 in the form v + o*x**2 + j*x and give o.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of m**7\/280 + m**6\/96 + m**5\/240 - m**4\/96 - 3*m**2 + 6*m. Let l(v) be the first derivative of j(v). Let l(a) = 0. What is a?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -174572, -2\/9, -3, 5.\nAnswer: -174572, -3, -2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 17\/5 (c) -3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57787 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 1:50 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347 = -8*d - 628 + 361 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.97 + 16. Let n = -2137 - -2138. Sort -0.03, u, n, -2.\nAnswer: -2, -0.03, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/1 + 60\/18)*(6 - -9)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -56020\/8813 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 19924 (base 11) to base 10\nAnswer: 27735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (5 + -9 + -2 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31051\/8 or -526.9?\nAnswer: 31051\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (8 + (-24 - -9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + -10. List the prime factors of 312\/i + (-4)\/(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**3 - 5*f**2 + 4*f - 1. Let w(j) = 5*j + 1. Let t be w(3). Let s be (-12)\/t - 38\/(-8). Is z(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23396816 divided by -10664?\nAnswer: 2194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**4 + 5*r**4 - 5*r**4)*(5 + 1 - 4) + 4*r + 2*r**4 - 4*r - 2*r**3 + 2*r**3 - r**4 in the form i*r**2 + t*r + v + l*r**4 + k*r**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0405 + 0.028. Round w to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28850*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25396579?\nAnswer: 13, 199, 9817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 2.1. Let m = 0 + 1. Let g = -158.7 + 158.2. What is the closest to m in p, -3, g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -5, -6, -0.33, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12c1 + -3?\nAnswer: 12bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(11\/((-275)\/(-30)))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, -11, -2, 0.01?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1328 is divided by 250?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - x - 8 = 0, -6*m - 24 = -2*m - 2*x. Let s(l) = 1 - 5 - l**2 - 7*l - 1. Let f be s(m). Solve -3*b = -b - 4*c - 18, 4*b + f*c = -16 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13498 times -9.909?\nAnswer: -133751.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 - 88*d + 84.\nAnswer: 4*(d - 21)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28266)\/(-5384) - 497\/84?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.3777 rounded to 2 dps?\nAnswer: 2.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -12299436 in decreasing order.\nAnswer: 4, -5, -12299436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1146, 2101, 3068, 4053, 5062, 6101?\n\"Answer: c**3 + 948*c + 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -101 times 11\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2722633 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -16*n + 11. Let p(a) be the first derivative of -a**5\/40 + a**4\/12 - a**3 + 2. Let f(t) be the third derivative of p(t). Calculate -11*f(w) + 2*l(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 965 is divided by 89?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 2, 279, 32 in descending order.\nAnswer: 279, 32, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (9 - (-1 - 0)) - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**32*z\/(z\/(z\/(z*z**(-42))*z)) assuming z is positive.\nAnswer: z**75","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(77)*-3 + sqrt(77))\/(-3*sqrt(21)\/sqrt(3) + sqrt(7)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = s - 1301, -8*s - 6424 = -13*s + 2*b. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -113, 3, 0.1, -2, 15.\nAnswer: -113, -2, 0.1, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j**3 + 3*j**2 + j + 5. Let f = -83 - -80. Let q(d) = 4*d**3 + 2*d**2 + 4. Determine f*q(s) + 2*v(s).\nAnswer: -2*s**3 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-3)*-5*(-2)\/14*(-85533)\/73314?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 10. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-three quarters of a year?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -20*3\/((-24)\/250). Let j = k + -571. Suppose 0 = 3*n + 2*o - 64, -44 = -2*n - n + 2*o. What is the least common multiple of j and n?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -7 + 122. Suppose 0 = 5*l - 2 - g. Find the third derivative of h**l - 12*h**5 + 6*h**5 + 4*h**2 wrt h.\nAnswer: -300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 300 and 110?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 0*s**7 + 0*s**6 + 0*s**3 + 0 - s**2 + 0*s**4 + 0*s - 1\/168*s**8 - 1\/20*s**5. What is the third derivative of a(r) wrt r?\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 6 + 4. Suppose -m*q + 144 = q. Calculate the greatest common divisor of q and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k**2 + 777*k - 777*k.\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/8*8\/(-10).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(10\/55 - 39\/33). Suppose 18 = -k*t + 6. Which is the closest to -0.1? (a) -2 (b) 0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5*(-3 + 26\/10). Let c be (-4)\/(-4) + v + 8 + 1. Solve 12 - c = -2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 + 6*p - 105. List the prime factors of w(27).\nAnswer: 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-4) + 0 - 1265\/3300\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161\/29 at most 4451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at least as big as 178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 12:13 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 563 is divided by 75?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 79073, 632805, 2135869, 5062931, 9888657?\n\"Answer: 79111*i**3 - 45*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from slsslsl. Give prob of picking 1 l and 2 s.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(3\/(-1))*3 + (113 - 102)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/110 and -32\/55.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 2 - 7 + 45*n**3 - 141*n**3 + 98*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, d: 1, w: 2, i: 5, l: 1}. What is prob of picking 2 w and 1 i?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -281*v**8\/56 - 257*v**4\/12 - 76*v. Find the third derivative of t(y) wrt y.\nAnswer: -33720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1725605 + 4225605. Let d be (504\/(-15))\/((-4)\/v). Round d to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.9578 + -0.0422. Put 1, 6.1, p in ascending order.\nAnswer: p, 1, 6.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1450936 is divided by 1450918?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 727738165 and 31780.\nAnswer: 7945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.706682 years in decades?\nAnswer: 0.6706682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5303 is divided by 4336.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -4326660 less than or equal to -4326599?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -458.8 to the nearest ten.\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-6)*((l**8*l)\/l)\/l*l)**(-42))**(-3\/5))**(-1\/14) assuming l is positive.\nAnswer: l**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 - -52. Are q and 3\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 5*z + 3*w, -z + 0*z = 5*z + 4*w - 26 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -277.3*65.876.\nAnswer: -18267.4148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98398*w**4 - 22*w + 303?\nAnswer: 1180776*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (30\/(-12))\/((-1)\/2). Suppose -21 = -s*i - m, i - 5*m + 21 = 5*i. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8*4\/320*(-3 + 53). Solve f - 3 = -30*w + 35*w, -5*w - p*f - 45 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s. Let z(i) = -2*i + 1. Let l be z(-2). Let g be -6*(2 + l\/(-2)). Let y(u) = g*u + 2*u - 4*u. Calculate f(y(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/42031 or 0?\nAnswer: 3\/42031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3145*o + 28576 = 1169*o - 998*o - 598*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d - 98. Let r(m) = -5*m + 103. Calculate 4*n(x) + 3*r(x).\nAnswer: x - 83","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 11*s = -420. Suppose -27*i - 174 = -s*i. Is i a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -212, -1, 0 in decreasing order.\nAnswer: 0, -1, -212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 153533 and 1757.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*(w*w**1)\/w))\/w*w)**(-38)\/(w**(-8)*w*w*w*(w\/(w**(2\/7)\/w))\/w*w*w*w) assuming w is positive.\nAnswer: w**(275\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5059, 10117, 15175, 20233?\n\"Answer: 5058*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 69*d + 11794. Is l(-117) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -215353*r**5 + 142225*r wrt r?\nAnswer: -4307060*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -207, -554, -901, -1248, -1595, -1942?\n\"Answer: -347*r + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**8\/14 + 13*r**7\/21 + 65*r**4\/12 - 99*r. What is the third derivative of p(o) wrt o?\nAnswer: -480*o**3 + 1560*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x + 3 + 2*x**4 - 12 + x**4 + 12 as r*x + q*x**4 + h*x**3 + d*x**2 + a and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 - 1 - (-75 - (-34 + -65)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1885654 rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1461, -1980, -2497, -3012, -3525, -4036?\nAnswer: -4545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/10, 2, 673, 0, 0.06?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -14.2. Let n = 0.28 - s. Which is the smallest value? (a) -0.4 (b) -0.1 (c) n (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432 is divided by 40.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/3 + 8\/12. Suppose -4*n - 25 = -5*s + 313, n = -x*s + 213. Let t = 162 - s. What is the greatest common divisor of t and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.688 + 0.012. Let l = f + -6. Let s = -0.29986 - l. What is s rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -302289372 divided by -1810116?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**4\/24 + r**3 + 6*r**2. Determine w(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssswswssw. Give prob of sequence ss.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2. Suppose -4*o + 3*v + 50 = 0, -2*o - 5*v + 16 = -2*v. Suppose 0 = -13*r + o*r + 8. Let h(b) = b + 5*b - r*b - 8*b. Give h(s(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4\/3 - 7*o**3\/3 - 8*o**2\/3 - o.\nAnswer: -o*(o + 1)**2*(2*o + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 - 8. Let z = t + -7. Suppose 2*g - 16 = 4*h, -z*g + 6*g = 4*h + 12. Which is greater: -3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1093 = 3*p - a, 3*a - 2*a + 4 = 0. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(2\/11))\/(w*w\/(w\/(w\/((w*w*w\/w**6*w)\/w)*w)*w)))**(2\/9) assuming w is positive.\nAnswer: w**(-28\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2765923956?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 140 = -3*k, 85 = 2*k + 5*o - 8*o. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173039 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(q) = -q - 3. Let f be m(-4). Suppose -f = -2*z + 3*w, 2*w + 0*w + 2 = 2*z. What is the remainder when 6 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1551*o - 1615*o + 896 = 0. What is the remainder when 424 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/3460 and -57\/20.\nAnswer: 3460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142, 273, 430, 625, 870, 1177?\nAnswer: 1558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2. Let t(a) = -470642*a**2. Give c(t(w)).\nAnswer: -221503892164*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z**3 + 86*z**2 - 2*z - 24. What is i(17)?\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6216979329?\nAnswer: 3, 11, 59, 307, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w + 1. Suppose -4*k - 3*k + 2*k = 0. Let j be d(k). Let r be j + 3\/(12\/4). Solve r*b + u = -7, -37 = 4*b - 4*u - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 2:38 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1402 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -x**4\/4 - 4*x**3\/3 - x**2 + 15*x - 43. Let r be w(-5). Let c be -5 + r\/5 + 2 + -6. Which is smaller: -1\/4 or c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 7*k - 82. Let g be o(-14). Solve 4 = -4*p - g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/4 + (63\/12)\/7. What is the second biggest value in -2\/23, -0.5, k?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five halves of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -359*k**5\/10 + 5*k**4\/6 + 3*k**3 - 2*k**2 - 5*k. Find the second derivative of f(j) wrt j.\nAnswer: -4308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 32*a**2 - 31*a - 35. Let l be h(-31). Let i be (-2)\/1 - (1 - 40). Let n = i + l. Is 2 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -141, -336, -709, -1320?\nAnswer: -2229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187841515.\nAnswer: 5, 439, 85577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 0, -5, 0.5 in decreasing order.\nAnswer: 0.5, 0, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -15*z**5 + 15*z**2 + 9*z. Let b(j) = 0*j - 8*j**2 + 3*j + 3*j + 7*j**5 - 10*j. Let i(n) = 9*b(n) + 4*g(n). Find the third derivative of i(r) wrt r.\nAnswer: 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 3. Let z(l) = l**3 - 8*l**2 + 3. Let t be z(8). Let k(a) = 9*a - 3. Let m(f) = -5*f + 2. Let b(j) = t*k(j) + 5*m(j). Determine b(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - j = 10, 67*o = 70*o + 4*j + 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x = 17*x - 15. Is x greater than -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30 + 0*k**3 - 3*k**2 - 3*k - k + 7*k**2 - 7*k + k**3.\nAnswer: (k - 3)*(k + 2)*(k + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -11*w**2 + 19*w - 4. Let o(q) = 5*q**2 - 9*q + 2. What is -6*n(b) - 13*o(b)?\nAnswer: b**2 + 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 733*f + 6723. Let s be r(9). Solve 401*i = 406*i - s for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 10*j - 3. Let d be f(-3). Let m be (-4)\/d + (-261)\/(-81). Solve -m*g = -g - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/7391 and -50\/11?\nAnswer: 81301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 1\/7 (c) 18\/7 (d) 664 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 92*j**2 - 19*j + 6. Is x(9) a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 h when two letters picked without replacement from {g: 2, h: 2, o: 1, j: 1, b: 1, a: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 5*z. Let b = -17 + 14. Let g(w) = 2*w**2 - 9*w. Calculate b*g(k) - 5*c(k).\nAnswer: -k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 times -31.71?\nAnswer: -11257.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 8*v + 5. What is the tens digit of m(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - (sqrt(121) + -5*sqrt(121)*-1))*1)\/(-2*sqrt(99)*6 + sqrt(99)).\nAnswer: 5*sqrt(11)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13829 by 10480.\nAnswer: 13829\/10480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 0 - 14\/(-3). Let x be (-2)\/(-13) + 2793\/2548 - 1. What is the third smallest value in -3, s, x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**4 + l**3 - l + 1. Let c(i) = 3*i**5 + 9*i**4 + 23*i**3 + 11*i**2 - 2*i + 4. Let z(w) = c(w) - 4*v(w). Suppose z(y) = 0. Calculate y.\nAnswer: -2, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -9*y**2. Let r(w) = -542*w**2. Calculate r(c(v)).\nAnswer: -43902*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.36 and 0.032.\nAnswer: -0.01152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12469 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2*l + 2*c = 46, 3*l - 49 = 2*c. Let d(v) = 3*v - 1. Calculate the remainder when l is divided by d(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j - 2. Let n(t) = -t**2 + 2*t + 7. Let d be n(5). Let y be d*((-9)\/(-6) + -1). Calculate h(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 4 = 2*x - 6, 5*c + 15 = 3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 4*u + 40, 3*d - 14*u = -16*u + 5. Suppose 0 = -d*t + 2*r + 5882, -4*t + 3514 = -t - 5*r. List the prime factors of t.\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -o**5\/60 + 11*o**2\/2 + 17. Let w(g) be the second derivative of m(g). Let c(l) = -10*l**2. Give w(c(a)).\nAnswer: -100*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-100)*((-861)\/(-168) - 7)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 205722854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2\/9, 0.4, -146163, 2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -7 + 1 + 0 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27078*v**4 + 5342*v wrt v?\nAnswer: 324936*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*(-2)\/(-16)*24\/36.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-72)\/(-27))\/(6\/(-27)). Is -12 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 198\/(-15)*-13*45\/(-351)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((5*sqrt(363)*2 + -3)**2 + 0 - (1 + -2*sqrt(363) + 4 + 3)).\nAnswer: -638*sqrt(3) + 36296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4271 + 15201?\nAnswer: 10710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 1.58 (c) 0.3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -0*x - 180. Suppose -313*s = -312*s - 71. Suppose -s = -7*k + x. Solve f + 5*n = -0*n - k, -4*f + 2*n = -18 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*g + 10. Let n = 7 + g. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108020105 to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**5 - 2*s**5 - 2*s**5 + (29*s**4 + 8*s**4 - 6*s**3 + 8*s**3)*(28*s - 4134 + 4134).\nAnswer: 1030*s**5 + 56*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/15 - 38\/(-10). Let v(k) = 3*k + 8. Let s(w) = -7*w - 17. Let c = -12 - -21. Let t(b) = c*v(b) + g*s(b). Give t(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 7098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7786.576ug to kilograms.\nAnswer: 0.000007786576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9280*i**2 + 209 - 18559*i**2 + 9273*i**2 - 209.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j. Let o be ((-18)\/27)\/((-2)\/15). Suppose o*t - 149 = -139. Let x(m) = -8*m + 7*m + m + 7*m**t. What is x(p(y))?\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7946 + -3607. Calculate the remainder when b is divided by 167.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8711*y - 427950 = -214707 + 457504 for y.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24825 and 7637163.\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-104)\/10 - (-18)\/45. Let t = -14 - g. What is the tens digit of -19*(-2 - (t - -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -154 - -2157\/14. Let q = 51\/28 - s. Which is bigger: q or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -5.81.\nAnswer: -4.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*m + 53925 = 40*m. Calculate the remainder when m is divided by 109.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snns. What is prob of picking 1 s and 1 n?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 9*j - 1. Suppose -5*b - 2*v = v + 13, 0 = 2*b - v + 14. Let o be u(b). Suppose -o = 4*r - 47. Do 10 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 18 = -47. Suppose 2*d - 2*u = -86, -5*u - 82 - 18 = 2*d. Let j = d - -79. Calculate the remainder when i is divided by j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-175))\/((-1656)\/920)*28\/2.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 9 = 7*x. Let k be x\/(-1 + (-2)\/(-8)). Suppose 3*s - 12 = w, 2*s = 2*w + 8 + k. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 492798 and 426351?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 - -0.7. Let t be (-11)\/(-4) + (-3)\/2. Suppose -56 - 54 = 22*l. Which is the third smallest value? (a) t (b) v (c) l (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36.1 + 4.9. Let j = l + -112. Let b = 88 + j. Are b and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*w + 32469 + 120075 = 0. Which is smaller: w or 2723?\nAnswer: 2723","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 1090 = -5*c, 3*b = 4*c + b - 868. Suppose 111*g = 120*g - c. Solve -19*v = -g*v + 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0*b**3 + 0*b**3 - 28*b**4 - 73 + 103*b**4 wrt b?\nAnswer: 300*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 6*l**2 - 5*l + 1. Let z(y) = 7*y**2 - 6*y + 1. Let h(k) = 3*b(k) - 2*z(k). Is h(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*a - a - a + 13*a - 7*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 9:31 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.062767 and -194 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 658441, 657390, 656331, 655258, 654165, 653046, 651895?\nAnswer: 650706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 106 - 99.3. Let n = m - 7. Which is smaller: n or -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1355 + 1360. Solve 0 = 2*z + r - 3, -u*z - 3*r = -r - 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 27720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - n - 19, 3*l + 5*n - 3*n = 14. Suppose -30 = -v + 5*b, -30 = -5*v - b + 2*b. What is the remainder when v is divided by l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 505602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 5*i = -29, 3*y - 2*i = 3*i - 19. Suppose -2*h + 5*q = -7 - 18, y*h + 2*q + 10 = 0. Let k(c) = -c**2 + 20. List the prime factors of k(h).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8023 to 2 dps.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*f = -189*f + 4922 for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(1 + 0\/(-2)). Let d = l - -9. Differentiate 2*u + 5*u**d - 2 - 3*u + u with respect to u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -21*j - 69. Let d be h(-4). Solve 81*o**3 - 5301*o**2 + 5353*o**2 + d*o**3 + 8*o + 16*o**5 + 68*o**4 = 0 for o.\nAnswer: -2, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 3. Let v(l) = -l**2 + 3*l + 2. Let b be v(k). Let u(g) = -g**3 + 7*g**2 + g - 2. Let m be u(7). Solve 3*a + m*w + 0*w = -31, b*w = -2*a - 24 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 631 and 28112943.\nAnswer: 28112943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (6 - 5)\/(3\/171)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 + 7 + -4)*(5\/(-25) + -5). Let m(q) = q**3 - 28*q**2 + 51*q + 32. Give m(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6763*s - 6747*s - 64 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -5. Sort p, 4, -5, -4 in descending order.\nAnswer: 4, p, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 + 5*b**2 - b**2 - 17*b**2 + 5*b**2. Let d(r) = 91*r**2. Give d(k(a)).\nAnswer: 3276*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s. Let k(a) = 2 - 1 + 486*a - 916*a + 642*a + 0. Calculate g(k(q)).\nAnswer: 424*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-21) - (-424)\/14. Let x = 782 - 452. Calculate the highest common divisor of x and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -0.4, 2\/9, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*b + 2*z - 129, 2*b - 2*z - 82 = 0. Let v = b - 15. Suppose -5*c + 2*n + 35 = -0*n, -3*c + v = 5*n. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g - 535 = -511 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*q**2 - 5*q**2 + 14*q**2)*(0*q - 2*q + 3*q) as a*q**3 + y*q**2 + j*q + w and give a.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**2. Let f(i) = -8*i**2. Let t(q) = 2*q + 1. Let r be t(-3). What is r*f(d) + 12*o(d)?\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 64 + -69 + (1 - -5) + -6. Put 8, 127, b, -4 in descending order.\nAnswer: 127, 8, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -58 - -2228?\nAnswer: 2170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -10*u - 8. Let l(d) = 7*d + 2. Let w(z) = 24*z + 7. Let t(q) = -7*l(q) + 2*w(q). What is y(t(a))?\nAnswer: 10*a - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 63 - 52 = -v - 32, -17*v + 12*v = -b + 207 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 -0.12, -167, -27, 2, 1\/7, -3?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 1007 - 745 = 0. Let n = 332 - r. Is n a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6)\/o**(-2))\/((((o\/o**(-1))\/o)\/o)\/o)**38 assuming o is positive.\nAnswer: o**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1140 = 171*f - 114*f for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b**3 + 2*b**2 + 19*b + 48. Let t be h(-4). What is the greatest common divisor of t and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.047? (a) -2\/19 (b) 6 (c) -2\/9 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5ec67ea + 3?\nAnswer: -5ec67e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -21?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - f - 2*h - 14 = 0, 0 = 2*f - h - 13. Let w = f - 4. Let p(u) = u**3 - u**2 + u + 40. Let q be p(w). Solve -3*o + 5*v = q, 4*o + 4 = -v - 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -16. Let s be 3\/(2 + (-7)\/3). Let l = r + s. Calculate the smallest common multiple of l and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1056796122 to the nearest integer?\nAnswer: 32508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -31*d**6\/30 + d**5\/20 - d**4\/6 - 38*d**3\/3 - 1395*d**2 + 2*d - 2. Find the second derivative of o(i) wrt i.\nAnswer: -744*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z + 5*r + 12 = 26*z, -2*r - 8 = 0. Let k(s) = -s**2 - 4*s - 1. Let v be k(-3). Suppose v*u + 54 = z*u. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1010303133030032 - 10?\nAnswer: 1010303133030022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1056?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n = 10*n - 2*y + 1569, 4665 = 3*n - y. Calculate the least common multiple of 5 and n.\nAnswer: 7785","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a + a + 0*a + (-1 + 0 - 1)*(-1 - a + 1) + 4 + 3*a - 4 - 2*a - a + 5*a - a + a + a + (0 + 0 - 1)*(a - a + a) + (4*a - a - 4*a)*(-2 + 1 + 3).\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**6\/45 + j**5\/40 - 5*j**4\/72 - j**3\/12 + j**2\/12 + 13*j. Solve p(s) = 0 for s.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 2137022910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -127 - 10?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1016, -0.2, 4\/5, 0.3 in descending order.\nAnswer: 4\/5, 0.3, -0.2, -1016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18528, -42151, -65774?\n\"Answer: -23623*l + 5095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of 611*j**7\/210 - j**5\/60 - 1079*j**3\/3 + 375*j**2. Find the first derivative of g(l) wrt l.\nAnswer: 2444*l**3 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 4:23 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 178 + 277*d - 369 + 191 + 409*d. Let y(r) = 4*r**2. Give y(x(j)).\nAnswer: 1882384*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/10 and 123\/2780.\nAnswer: 2780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l + 2. Let f be j(-3). Let q be (-124)\/37*9\/(-54). Let v = 4\/37 + q. Sort -2\/3, f, v.\nAnswer: -2\/3, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20953?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {q: 4, z: 14}?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -299 - -3287\/11. What is the nearest to 1\/4 in h, 9, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -52223650368.\nAnswer: -52223650370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 16477118.\nAnswer: 65908472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -396*r**2 + 406*r - 62*r**2 - 412*r.\nAnswer: -458*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -7. Let m be (1\/h)\/(1\/48). What is the common denominator of -27\/10 and 363\/m*1 + -3?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 26 + 0 + 10*s.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -952.9 * 166.51\nAnswer: -158667.379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9 and 378048?\nAnswer: 378057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 488.1 rounded to the nearest ten?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 36*c**2 - 4*c - 140. Let d(h) = -h**3 - h**2 + 55*h - 29. Let v be d(7). Give q(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -255233 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -54*(-60)\/(-60)*(-5)\/(30\/4).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 569797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 4*h**2 + 4*h + 3. Let a = 11 - 6. Let c be r(a). What is the units digit of c\/((-6)\/21) - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18463 - 221431\/12. Calculate the common denominator of 8\/10*455\/(-63) and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2477 is divided by 308.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 5*p + 4*p - 31)*(-1767 + 1767 - 19*p).\nAnswer: 19*p**2 + 437*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65 + 108. Calculate the common denominator of o\/(-12) + 1\/(-2) and -1\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 842831920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 41*q**2 - 14*q + 5. Let a be z(-19). Let j be -1 - ((-82047)\/10 + -1). Let b = a - j. What is the common denominator of -58\/3 and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17 and 12709.6?\nAnswer: -216063.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 17*m**2 + 362*m - 48. Let v be k(-22). Calculate the highest common factor of 135 and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/((l*l\/(l*l**(1\/15)\/l*l*l*l*l))\/l)*l*l)\/l*l**(-12)*l*l)\/((l*l\/l**(-5\/6))\/l*l*l**6\/l) assuming l is positive.\nAnswer: l**(-353\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05281*-191.\nAnswer: -10.08671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4201 or -4?\nAnswer: -4201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 99\/(-21) - (-4)\/(-14). Let c = w - -10. Suppose 16 = 3*u - c. What is the highest common divisor of 1 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.04 (b) 3 (c) 1\/34 (d) -2\/9 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 3377394?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3617 = 5*b + 2*t - 1799, 0 = -4*t + 12. What are the prime factors of b?\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of q**3\/2 + 4*q - 8. Let o(d) = 149*d. Give k(o(h)).\nAnswer: 447*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-78))\/((-12)\/(-624))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*t + 8 = -34*t. Let s(m) = -3*m + 0 - 2 + 1 + t*m. List the prime factors of s(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q - 91. Let y be u(24). Let l(k) = 63*k - 6. What is the hundreds digit of l(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 254790 and 1076823?\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 105 = -q + 2*p, -4*q = -5*p - 566. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41bd5 (base 15) in base 16?\nAnswer: -32ea6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**4 + 3*p**4 + 2*p**4 + (-17*p**3 + 81*p**3 + 34*p**3)*(p - 4*p + p).\nAnswer: -192*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 78304 or 78303?\nAnswer: 78304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 460733.\nAnswer: 7, 13, 61, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000191483414 to 6 dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 * -967\nAnswer: 676.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9}. Give prob of sequence yyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*h - 67000015, -3*h + 0*h + 53600015 = 4*v. What is v rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4273, -8732, -13555, -18922, -25013, -32008, -40087, -49430?\nAnswer: -60217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(-10)\/s))\/(s**(-2\/9)*s*s)*(s*s**(-1\/16)*s)\/(s*s\/(s\/((s\/s**14)\/s))*s))**(1\/51) assuming s is positive.\nAnswer: s**(3479\/7344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c**2 + 2*c + 1. Let x be g(-2). Let i be (-1 + -2)\/((-5)\/x). Solve 0 = v + 5*y - 6, -5*v = i*y - 4 - 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(684) - (-2 + sqrt(684))) + -1)*6*-5)**2 + ((sqrt(684) - (3 + 2*sqrt(684) + sqrt(684)) - (4 + 0 + sqrt(684) + sqrt(684))) + -5)**2.\nAnswer: 576*sqrt(19) + 11988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 476054.\nAnswer: 2, 23, 79, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, o: 2, i: 8, b: 1, l: 1}. What is prob of sequence ion?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -9*c**3 - c**2 + 7*c. Let i(n) = -9*n**3 - n**2 + 6*n. Let b(o) = -7*i(o) + 6*j(o). Find the third derivative of b(s) wrt s.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306101 is divided by 102?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 3. Let d be -8 + 56 + -1 + -2. Suppose -a - d = -6*a. Suppose 5*s = 2*s + a. Let y(k) = k + 5. What is s*y(r) - 5*i(r)?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -2*r - 2*r. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12011 - 11121222001?\nAnswer: -11122011012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 544155264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4059 + 4061. Solve 0 = 2*a - n*d - 7 + 9, -16 = 4*a - d for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqsqpn. What is prob of sequence nspq?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 4*v + 2. Suppose -5*d + 7 = 22. Let z be i(d). Suppose -4*c + 38 = 3*r - 34, -3*c - z*r = -54. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 16*p**2 + 14*p - 20. Let n be c(-15). Let z(k) = -43*k - 4. What are the prime factors of z(n)?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 8*v - 3. Let c be q(-7). Suppose -4 = -4*a - a + 2*m, -5*a + c*m - 2 = 0. Calculate the least common multiple of a and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2212442 - 0?\nAnswer: -2212442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -68869879 at most -68869878?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21*o**2 - 3124 - 11*o**2 - 7289*o**4 - 980 - 10*o**2 wrt o.\nAnswer: -29156*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67 - 70. Is 12 a factor of z*(4 - (4\/1 - -44))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1072 is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -397 (b) -0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (31 - 1 - 0) + -5 + -5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 2 f when three letters picked without replacement from dhdhffddvddddd.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1693 (base 10) to base 8.\nAnswer: 3235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-60) + 101\/68. Let h = 1\/68 + s. Suppose -6*u + 10 = -11*u. What is the second biggest value in u, 2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o - 2*o + o)*(-4 - 316 - 195) to the form d + n*o and give n.\nAnswer: 515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffffffffffffffoff. What is prob of picking 4 f?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 10. Let c = h - -5. Let f = -78031\/4 - -19507. What is the nearest to -1 in 0.2, c, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -540042106, -540042110, -540042114, -540042118?\nAnswer: -540042122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2157*i - 404. Determine z(0).\nAnswer: -404","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 0.4. Let f = h + -0.1. Let d = -2.6 - 0.4. What is the nearest to 0 in d, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 636*d - 3*d**2 - 315*d - 305*d + (-4 + 0 + 5)*(0*d**2 + 0*d**2 + 2*d**2) as m*d**2 + w + i*d and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -2.1, -2, -10 in descending order.\nAnswer: 0.4, -2, -2.1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 7, 27, 4 in ascending order.\nAnswer: 4, 7, 24, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2524746*f**2*g + 52875*f**2 - f - 26 wrt g.\nAnswer: 2524746*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 4*s + 5. Let u be n(5). Let v = 21 - u. Suppose -o - 2*o + v = 0. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (116\/(-54) + 2)\/((-3735)\/83 - -39)?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -39648*a**2*r*w - 5*a**2*w - 400*a**2 wrt r.\nAnswer: -39648*a**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10 - 6 - (1 - 0). Suppose 12 = -21*f + 23*f. Solve -p*r = -r + f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1233363?\nAnswer: 3, 53, 7757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 1840.\nAnswer: 9200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*x + 157104 = -t + 156945, 0 = -3*x + 4*t - 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 40 = -2*w. Solve -w = v + v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 197\/58 + 3\/29. Let o = 15\/4 - b. Suppose 3*g = w + 18, -2*w + 4 = -0*g + 2*g. Is o at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x + 1. Let j be v(-1). Let o be 1\/((-5)\/(4\/(-4))). Sort -0.5, j, o in descending order.\nAnswer: j, o, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - 3*r + 0*r)*(3 - 3 - 2) + 3*r + 0*r - 4*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 761144 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3)**(-5\/2))**43 assuming r is positive.\nAnswer: r**(-645\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 3786*o - 3783. Let i be k(-1). Determine p, given that -2\/3*p**4 + 1\/2*p - 1\/6*p**5 + 0 + 2\/3*p**i - 1\/3*p**3 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2 + 121\/(-4) - (10 + (-2475)\/300).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (403371\/5124)\/(1 - -17). Let l = -2\/1281 - x. Find the common denominator of l and (-1 - (-94)\/(-3))*(-6)\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180261 + 179253 = -63*u for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -388 - -9?\nAnswer: -37e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 5*u + 4, 3*u - 5*b = -2*u + 20. Let f(c) = 192*c**3 - 2*c**2 + 3*c - 2. What are the prime factors of f(u)?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 4.1. Let k = 171552 + -171547. What is the nearest to q in -1, -4, k, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 20780430.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**4 + 0*c**4 + 3*c**4 - 3*c**4 + 3*c**4 - 6*c**4 + 2*c**3 - c**4 - 2*c**3 + (-4*c + 5*c + 0*c)*(0*c - c**3 + 0*c).\nAnswer: -7*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*j - 4*s, -61 = -13*j + 8*j + 4*s. What is the greatest common factor of j and 637?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 14*m - 20. Let o be g(10). What is the third derivative of -19*n**2 + o*n**2 - 11*n**2 - 10*n**3 wrt n?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 673\/4 - 168. What is the nearest to 2\/3 in 5, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -4, 5 in ascending order.\nAnswer: -5, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 2. Let q be y(0). Let u = 65 + -59. Find the third derivative of 3*a**u + 132*a**4 + 7*a**q - 132*a**4 wrt a.\nAnswer: 360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1821444, 3642887, 5464330, 7285773, 9107216?\nAnswer: 10928659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71*x**5 - 14*x**2 + 2*x.\nAnswer: -4260*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 b, and 1 m when three letters picked without replacement from {l: 2, b: 2, y: 5, q: 10, m: 1}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 260050?\nAnswer: -260045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -245, -578, -1091, -1874, -3017, -4610?\n\"Answer: -15*p**3 - 228*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c**2 + 363*c + 573. Determine b(-123).\nAnswer: 1311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h + 0*h + 4*h. Let k be n(3). What is the lowest common multiple of 12 and k + 0 + -4 + 2?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*y**4 - 15*y + 3*y**3 + 10*y - 3*y + 1 - 7*y**4 to n*y + s + k*y**3 + u*y**4 + j*y**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t**(-2\/3)*t)))\/t)**(-1\/4)\/(t*(t\/(t**5\/t))\/t*t**(-6)) assuming t is positive.\nAnswer: t**(55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -353\/1548 + 1\/172. Let v = 23.7 - 23.3. Which is the third smallest value? (a) i (b) -5 (c) -0.3 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244339 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 538767580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 312 = 11*l. Let h = l - 36. Does 10 divide h - (2 + -5 - 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24884*f = -24872*f - 14520. Calculate the lowest common multiple of f and 1694.\nAnswer: 8470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6005\/2898 + -1\/1449. What is the common denominator of n and 99\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 174 and 261.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/3 and 19\/177.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 633c - -4?\nAnswer: 6343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*r + 23 = -1, -2*a - 4*r - 14 = 0. Solve -2*q = -w + a, -4*w + q - 4 + 1 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 249174*q + 1. Let w be u(5). Suppose -w - 1634093 = 3*x. Let p be x\/30 - 2\/5. What is p rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n - 2. Let v be c(-4). Suppose v*y + 3*y = m + 20, -5*m + 20 = -y. Suppose -m = -9*b + 4*b. Put -1\/10, b, 2 in decreasing order.\nAnswer: 2, b, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(sqrt(9)*-2) - (0 + sqrt(22)\/sqrt(2))) + -4.\nAnswer: -3*sqrt(11)\/2 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9696699167*k**2 + 9*k**3 + 9696699167*k**2.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -3. Determine u, given that 3*u**3 + 5*u**4 + 4*u**3 - 5*u - m*u**2 + 10 - 2*u**3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 0 = -5*i + 19, -5*s - 32 = -4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -195 or -196?\nAnswer: -195","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 170, 726, 1710, 3170, 5154, 7710, 10886?\n\"Answer: 8*u**3 + 166*u**2 + 2*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 2\/81 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*9\/12*-2. Let t be -4 + 8\/6*6\/1. Put t, p, -1 in decreasing order.\nAnswer: t, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/119 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w + 3. Let f be n(-1). Suppose -372 = 2*b - f*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/22*24\/(192\/8).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 - 11. Let k = -3 - n. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/3)\/(n*n**(-4\/11))*((n*n\/(n*(n*n\/(n*n\/(n**8\/n))*n)\/n))\/n)\/n*n\/(n**(-3\/10)\/n) assuming n is positive.\nAnswer: n**(-1981\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -226 by -115.\nAnswer: 226\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47.9 - -48. Is -4.7 <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 - 132\/30*15?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 + 14143194*v**2 + 14143193*v**2 - 28286387*v**2.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11.7? (a) -3\/4 (b) 0 (c) -2\/19 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -0*t - 12. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 9. Let d(h) be the second derivative of -h**4\/12 + h**3 + 3*h**2 - h. Give d(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (5 - -57) + (3 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -20 + 20 + 12*p - 26*p + 15*p. Let j(b) = 3*b - 5. Give w(j(n)).\nAnswer: 3*n - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-1 - 1 - -5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-21)*-3)\/((-12)\/7).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*2\/1*5\/(-45). Let n(r) be the first derivative of 4*r - 2 + h*r**3 - 3*r**2. Factor n(a).\nAnswer: 2*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f**4 + f)*(-3926*f - 5222*f + 5358*f).\nAnswer: -3790*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 342548 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(525)*1)\/(sqrt(12)\/(1*sqrt(4)*-3)))**2.\nAnswer: 14175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.1*-3.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3000252 + 0.3. What is g rounded to six decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-19\/3))**(-8)*((o\/((o**(1\/2)\/o)\/o)*o)\/o**(-3))**44 assuming o is positive.\nAnswer: o**(1010\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*q - 3 = 0, 0*q - 7 = b + 4*q. Suppose 0 = 3*x - 276 - 150. What is the remainder when x is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 1348, -76\/3, -1, 1\/6?\nAnswer: 1348","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/2 and 67\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 282 - 243. Calculate the remainder when 147 is divided by d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 156*7 - (-4 - -8). Calculate the highest common factor of f and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 15*k**2 + 3*k + 10. Let l(f) = -2*f + 5. Let r be l(-5). Let p be q(r). Let w = -48 + p. Solve -12 = -4*i, -5*d - 7*i = -3*i - w for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2828, 2784, 2738, 2690, 2640?\n\"Answer: -m**2 - 41*m + 2870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 6*u**2 + 8*u**2)*(-19 + 1 + 2).\nAnswer: -32*u**2 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - w = 0. Let z(u) = 1 - u + w*u - 3*u. Give z(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-11)*a\/((a*a**(-3))\/a))\/(a**(-11))**30 assuming a is positive.\nAnswer: a**323","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10573505 is divided by 124394.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 13, i: 3}. What is prob of sequence ikki?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**4*w + 48*c**3*w**3 - 3*c**3*w - 2*c**2*w**3 + 16*c**2*w + 3*c*w**3 wrt c.\nAnswer: -48*c*w + 288*w**3 - 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2. Let i(y) = 29*y**2 + 8*y - 8. Let r(a) = -19*a**2 - 5*a + 5. Let s = -7 - -2. Let t(k) = s*i(k) - 8*r(k). Determine f(t(h)).\nAnswer: 49*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*g + 2*t + 1, 0 = 5*t + 15 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*j = 14, 2*w + 2*j = 4*w. Suppose -23*g = -25*g + 6. Let o be (g\/(-3))\/((-1)\/(w + 3)). Solve o = d + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.3 - -6.7. Which is the nearest to -0.1? (a) 1\/2 (b) -1 (c) p (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*w - 330. Calculate the remainder when w is divided by (14\/4*72\/60)\/((-90)\/(-300)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5704246\/670 + (-2)\/(-10). What is the highest common factor of 36 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -100120074.\nAnswer: 400480296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92*b + 3 - 6*b**4 - 16 + 12 + 4*b**4 to the form n*b + x*b**3 + v + z*b**2 + i*b**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**10)**(-5)\/(d*d**24*d*d**(-4\/7)))**(12\/7) assuming d is positive.\nAnswer: d**(-6756\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -121134, -1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o - 16 + o + 26 + 0*o - 7*o.\nAnswer: -2*o + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/6*(0 + 0). Let f(u) = -3*u - 2 - u**2 + y*u**3 + u**3 + 8*u**2. Let i be f(-7). Solve -i = -4*o - 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljxj when four letters picked without replacement from lllllllljjljljjxljl.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 34*t**2 + 32*t + 42. Give k(33).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1036.6 and -0.2.\nAnswer: -207.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122584449.\nAnswer: 3, 13, 137, 22943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 485, -620, -2463, -5044?\n\"Answer: -369*v**2 + 2*v + 852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5896*m - 30 = -5881*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11340218 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 11:47 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28673 or -28726?\nAnswer: -28726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(48) + -1 + (sqrt(3) - (sqrt(3) - sqrt(3)*2)**2).\nAnswer: -4 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 28\/3. Let f = -1\/6 + v. Let d = 1 + -0.6. What is the closest to f in d, -1\/5, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14954, -14958, -14962, -14966, -14970?\nAnswer: -14974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2879 by 6.\nAnswer: 2879\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and 0.49?\nAnswer: -4.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 9*r**2 - 10*r - 11. What is the tens digit of k(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -19. Suppose 15 = 5*k + 2*q, 6 = 5*k - 2*q - 9. What is the closest to 0 in 5, k, v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 259939 (b) -0.2 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47968 + -4926. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 525678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*o**2*x**4 + 2*o**2*x + 2*o*t*x**3 + 2*o*x**2 - 30*t*x**2 + 2*x**6 wrt x.\nAnswer: 144*o**2*x + 12*o*t + 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v**2 + v**2 + 4*v**2 + 1 - 1 - 3*v**2 + (-v - 3*v + 6*v)*(-2*v - 2*v + 5*v) + 0*v + 0*v - 3*v**2)*(-4*v + 3*v + 2*v).\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 2 - 6)*-2. Let i = p + -7. Are 1\/4 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-2))\/(((-6)\/(-3))\/(10\/(-2))).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -150369970, -150369969, -150369968, -150369967, -150369966?\nAnswer: -150369965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14529292907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-30)\/135 - (-1732)\/18. Let b = o - 96. Suppose 9*t + 22 - 103 = b. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 235\/987 + (95\/195 - (-4)\/(-26))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8.690606 centuries?\nAnswer: 86.90606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496 is divided by 83?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 = 14*s + 17 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - i**2 + 2*i**2 - i**2 + 0*i**2 + (4 - 2*i - 4)*(-2*i + i + 2*i) + 0*i**2 - 4*i**2 - i + 3*i.\nAnswer: -6*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 47\/4 of a micrometer?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438151 smaller than 1438157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 + 144. Calculate the least common multiple of 180 and d.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.489761 decades to centuries.\nAnswer: 0.8489761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.3, 0.798, -0.045 in descending order.\nAnswer: 0.798, 0.3, -0.045, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 + 1421\/(-58))\/(-3*(-5)\/330).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**6\/120 - 2*k**4\/3 - 6*k**2. Let i(c) be the second derivative of g(c). Let n(q) = -156*q + 315*q - 158*q. Give n(i(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 19*z + 24. Let p be k(-20). Suppose -2 = -t - 5, -p*t = -3*d + 393. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -80261, -160524, -240787, -321050?\n\"Answer: -80263*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**0*t*t**2)\/(t**1)**(-1)*t**(-4)*(t\/t**6)\/t*(t**(2\/3)*t)\/t*t*t**(1\/5) assuming t is positive.\nAnswer: t**(-32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 12 + -4 + -14\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122020 (base 3) to base 10.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 5*j - 3. Let q be u(-6). Let n = 11 + q. Suppose -37 = -2*m - p - 12, 4*p = -m + n. What is the remainder when 39 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -4*x + 9. Let j = -18 + x. Solve 0 = -s + j + 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 262, 1330, 3588, 7426, 13234, 21402, 32320, 46378?\nAnswer: 63966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -77030 take away 241.04?\nAnswer: -77271.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -5*k**2\/2 + 4*k + 152. Let s(t) = -t + 1. Suppose 0 = -b + 4. Calculate b*s(p) - a(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.3 + 0.7. Let m = -33 - -36.9. Let k = m - 7.9. Which is the closest to -0.07? (a) r (b) -1\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 119 + -126. Let v(o) = o**3 + 9*o**2 + 2*o - 82. Let c be v(k). Solve -3*s + 4 = c*f + 2*s, -5 = f - s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-6))\/((-2)\/3). Let u be (-4 - -8) + w + -6. Calculate the common denominator of ((-1)\/u)\/((-7)\/329) and 58\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -27*(2 + (-7)\/3). Let y = k + -14. Let p = y - -15. What is the least common multiple of p and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16109, 16178, 16247, 16316?\nAnswer: 16385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -3 - 0) + (29 - 36)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 + -5)\/(2\/(-8)). Sort -0.4, -4, r in increasing order.\nAnswer: r, -4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b**2 + 35*b - 349. Determine o(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b**4 + 2*b**4 + b**3 - 3 - 74*b**2 + 73*b**2 in the form q*b + z*b**4 + a*b**3 + f*b**2 + d and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 0*l + l)*(427351*l - 427351*l - 8423*l**2).\nAnswer: 8423*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 206610533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -22\/7, 7, -35, 0.4, -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -1780*f**3 + 131*f**2 + 5*f + 20. Let x(r) = -889*r**3 + 66*r**2 + 3*r + 12. Let t(n) = -3*o(n) + 5*x(n). What is the third derivative of t(h) wrt h?\nAnswer: 5370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 353195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 55017.2 decades?\nAnswer: 550172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + z - 528 + 2387 = 0, o - 933 = -3*z. Let p be (o\/70 + -3)*(-2 + 9). Calculate the highest common divisor of 48 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(6)\/sqrt(2) - (sqrt(3) + (sqrt(12) + sqrt(60)\/sqrt(5))\/sqrt(4)).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -14792?\nAnswer: -14789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 k when two letters picked without replacement from hhaqakkllhah?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 172235123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + -8 + 0 + 11. Solve -4*k - 1 + 17 = f, 0 = 3*s - 2*k - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63305.388 rounded to the nearest 1000?\nAnswer: 63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/10 of a century in decades?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.1 times -0.3?\nAnswer: -15.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b**3 + 5*b**2 - 110*b + 107. Determine a(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/20797 - -243127\/2058903. Calculate the common denominator of l and 40\/63.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/6*(12\/2)\/(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1344 = -u - 11*u. Let g = 174 + u. List the prime factors of g.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 93072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.044 to 1 decimal place.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*b**2 + 7*b - 6*b - 2*b + 163 + b**2.\nAnswer: -59*b**2 - b + 163","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 32*q**2 - 18*q + 11. Let x be m(5). Suppose 0 = s - r - 311, -4*r + 191 + x = 3*s. Suppose -6*j + s = 8*j. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5237428 divided by -44012.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ac (base 16) to base 5.\nAnswer: -1142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1328\/225 - 1\/450. Calculate the common denominator of v and -113\/748.\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 5*g + 6. Let b be y(-6). Suppose 2*s - 52 = -b*s. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -122 - -121.9. Which is the closest to -1\/4? (a) -1\/5 (b) -7 (c) s (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q + 21. Let s be h(6). Suppose 0 = p - 3, 3*w - 2*p - 3 = -p. Solve -s*y = -c - 4, w*c + 2*c = -3*y + 29 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 7*k**2 + 7*k + 10. Let x be z(8). Let h be (x\/6)\/((-6)\/(-90)). Suppose -h*w - 4205 = -10*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 - 11801*y + 3. Let p(s) = 36*s - 1. Give p(k(a)).\nAnswer: 72*a**2 - 424836*a + 107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2220242*y**4 + 2*y**3 + 13562788*y**2.\nAnswer: -53285808*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*w + 4 = 0. Let g = 3\/2152 - 2173\/15064. Which is the second biggest value? (a) 0.2 (b) g (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 70*v + 144. Let a be m(68). Solve -4*l = -a*l + 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4107 * 0.02.\nAnswer: 82.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 6*t. Let u(h) be the third derivative of h**5\/30 - 3*h**2. Calculate z(u(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-2))\/((-1)\/7). Let w = s - 18. Which is the biggest value? (a) 0.3 (b) w (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1277 + -0.2723. Let o = 3 - 2. Let j = 1 + o. Which is the nearest to 1? (a) j (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 9*k**3 - 271*k**2 - 334*k + 1684. Let n(j) = -55*j**3 + 1625*j**2 + 2010*j - 10105. Let m(v) = -4*n(v) - 25*s(v). What is w in m(w) = 0?\nAnswer: -3, 2, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 25. Let w be i(19). Solve -s = -w*s + 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 5) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**3 - 4*r**2 + 4. Suppose -2*u + 3 = 2*f + 5, -3*f - 5*u - 11 = 0. Is x(f) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (2 + 0 - 4). Let y(f) = 0*f - f**2 + o - 3 + 2*f + 2*f. Let c be y(3). Solve 5*u = 5*q + 5, c = 3*q - 2*u - 3*u - 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 11:20 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 152*g**2 + 3 + 0 - 693*g + 682*g + g**4 wrt g?\nAnswer: 12*g**2 + 304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*h**2 - 101087*h - 53*h**2 + 101017*h + (-4*h - h + 4*h)*(-h - h + 0*h) + 4*h**2 + 3*h**2 - 5*h**2.\nAnswer: -38*h**2 - 70*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 5*p - 4*f, p - 44 = -3*p + 4*f. Calculate the greatest common factor of p and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 549065000 a multiple of 391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 428998278 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 150326 to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 14 = 16. Suppose 0*p - 3*p + m = 0. What is the derivative of -2 + u**2 - 2*u**p + 0 wrt u?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1681 or 6725\/4?\nAnswer: 1681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 525\/100 - 18\/3. Let g = 6 + -11. Sort g, 0.3, o in increasing order.\nAnswer: g, o, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**2\/13 + 432*g\/13 = 0. Calculate g.\nAnswer: -216, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**39)**8 assuming n is positive.\nAnswer: n**312","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - (37 - 18)) + (-25 - 10)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 52460395 rounded to the nearest ten thousand?\nAnswer: 52460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 + -1 + -4 + (29 - 19)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j = -6*j - 77. Calculate the remainder when j is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499573 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309 - 185 = 19*t. Let s(m) = 4*m + 126. Calculate the lowest common multiple of 38 and s(t).\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 60 = 17*j, -904*w + 908*w = 2*j - 18 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 12:06 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 249.22725 months to centuries.\nAnswer: 0.207689375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1 (b) 74 (c) 1\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1024612 + -644128. Suppose -3*m - u = -1178784. Round m to the nearest ten thousand.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b. Let k(f) = -4*f - 2. Let v(s) = -21*s - 11. Let n(d) = 22*k(d) - 4*v(d). What is n(w(y))?\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158 = -3*p - 28. Let j = p - -48. Calculate the remainder when (j\/8)\/(4\/(-16)) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0*d + 5*i - 8, 0 = 5*d + 2*i - 132. Let x = d + -17. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 e, and 2 a when four letters picked without replacement from {e: 2, d: 7, o: 1, a: 8}.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.768 - 1.232. Let v = 0.6 - -0.9. Let i = v - 1. What is the closest to -1\/4 in 4\/7, i, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/105)\/(((-13)\/(-13))\/(-6*(-20)\/16))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**7\/2520 + z**6\/540 - z**5\/360 + 2*z**3\/3 - 4*z**2. Let k(l) be the first derivative of p(l). Factor k(v).\nAnswer: -v*(v - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2024 - -2026. Let h(m) be the third derivative of -1\/24*m**4 + j*m**2 - 1\/6*m**3 + 0 - 1\/60*m**5 + 0*m. Calculate h(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3*b + 7 = -2*a, 4*b + 4 = 0. Solve -2*t - a*t = 30 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -9 + 11 + -2 - (-5028 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1396176 or 1396169?\nAnswer: 1396176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -618 divided by -206.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2084 is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -1\/10, 5, -2\/19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zizz when four letters picked without replacement from {z: 3, r: 4, i: 1}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 573, 593, 651, 765, 953, 1233?\n\"Answer: 3*j**3 + j**2 - 4*j + 573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24695009 to the nearest integer?\nAnswer: 4969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0137432 rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - 1*(-3*sqrt(85) + sqrt(85)))\/(sqrt(120)\/sqrt(6))*1*3)**2.\nAnswer: 1377\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wgdbdwbcbdbwvb. What is prob of sequence wvb?\nAnswer: 5\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -15867566?\nAnswer: -15867566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**3\/4 + 12975*r**2\/4 + 13053*r\/2 - 155772 = 0. What is r?\nAnswer: -8, 6, 4327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13062497 divided by -1866071?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkk when three letters picked without replacement from ppkkkkp.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93745914?\nAnswer: 2, 3, 1901, 8219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, w: 10}. Give prob of sequence wnw.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -325*w**4\/24 - 583*w**3\/3 + 3*w**2 + 3. What is the first derivative of k(y) wrt y?\nAnswer: -325","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47696*h**4 - h**3*q**2 - 549*h*q**2 - 3*h - 2*q**2 wrt h?\nAnswer: 572352*h**2 - 6*h*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(245) + 0 - sqrt(245))*1 + -5 + -3 + -5)**2 + -2)*-2.\nAnswer: -1002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.1792063 millennia?\nAnswer: 1.792063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -7*n + 11. Let r(i) = -i + 1. Let d = 37 + -36. Let g = d + 5. Give g*r(a) - w(a).\nAnswer: a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) 2209 (c) 3 (d) -0.008\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1849024131 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y**4 - y**4 + 4*y - 5*y - 2*y**2 - 2*y**3 + 4*y**2 as k*y + s + n*y**2 + i*y**4 + j*y**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7304.\nAnswer: 2, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**3 - 11*w**2 + 4*w - 12. What is i(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -531 divided by -5978\nAnswer: 531\/5978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -18913468 and 50.659.\nAnswer: -18913417.341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/3 - (-416)\/12. Suppose -p = -5*x + 6. Let l = x + -8. Is l < -2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 10*t - 6. Let v(a) = -a**2 + 2*a + 1. Give o(d) + 6*v(d).\nAnswer: -6*d**2 + 22*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -934 - -584. Let k = -351 - h. Let w be (-3 - -2) + -1 + 7. Put 0, k, w, -4 in ascending order.\nAnswer: -4, k, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146400 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 + -10100?\nAnswer: -100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -4 (c) 0.2 (d) 210 (e) 1\/3 (f) -108 (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -5, 0.6, 5, -1076?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -3, -5, -31?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.04, -0.07, 4\/3, 0, -0.2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133221 - -2021222220?\nAnswer: 2021022333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 211 + 4?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 4*l - 1. Let q be c(-3). Let d = 26611\/88 - 2445\/8. What is the common denominator of 1\/q*445\/20 and d?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 539730366.\nAnswer: 2, 3, 7, 509, 25247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7712 is divided by 690.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 55963.917 to the nearest 100.\nAnswer: 56000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 588007 and 3018.\nAnswer: 3528042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -557270.58?\nAnswer: -557271.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 159 or 0.93?\nAnswer: 0.93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 173973583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 divided by 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 + 7114835?\nAnswer: 7114822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k = 15*k - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*b = 14, 20*b - 23*b + 42 = 5*v. Suppose v*h + 12*h = 90. Solve 3 = h*j + 23 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n - 310 = 27*n. Solve 152*h + n*h - 4*h**2 - 303*h + 8 = 0 for h.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t + 4. Let i(n) = -85*n**2 + 35*n**2 + 49*n**2. Give i(r(u)).\nAnswer: -25*u**2 - 40*u - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*p + 14. Suppose -y - j = -13, p*y = -3*j + 5*j + 44. Is ((-204)\/(-14))\/(2\/y) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 1:54 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 - t. Let p(s) = -s**2. Let f(n) = -2*p(n) + z(n). Suppose -b - 4 = -1. What are the prime factors of f(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 86 from 41.15.\nAnswer: -44.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + 1*sqrt(130) + sqrt(130))\/sqrt(10))**2 - (sqrt(13) + 1 + -4).\nAnswer: -sqrt(13) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-76865)\/(-7) - (6\/(-8) - (-208)\/448).\nAnswer: 79, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4945, -9859, -14773?\nAnswer: -19687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1829045 is divided by 495?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t. Let i(m) = 119*m. Calculate -i(o) - 102*w(o).\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 10:28 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-99)\/165)\/((-18)\/10)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -40ad75 (base 14) in base 2?\nAnswer: -1000010100100100001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*i**2 - 10*i**2 + i**3 + 12*i**2 + 25*i**3 wrt i?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000009845 rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 4*b**2 + 3*b + 10. Give k(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 492*t - 6*t**3 - 492*t)*(2964 + 272 - 1780 + 831 + 3016) in the form s*t + u + k*t**2 + w*t**3 and give w.\nAnswer: -31818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 154, 7.2, 2\/9?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 equal to -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7531 * -0.1\nAnswer: 753.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/(-4) + -6*(-1)\/(-12). Let v(h) = h**2 + h. Let d(n) = 6*n**2 + 5*n - 2. Calculate g*v(w) - d(w).\nAnswer: -w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-10)\/k**(23\/3) assuming k is positive.\nAnswer: k**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -0*l - 3*l - 24, -2*l - u = 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -2. Suppose u = -5*j + 5*d - 25, -5*j + 11 = 4*d - 9. Solve j*k - 3 = -3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (-780)\/(-50) - 72\/55\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16.85 - 6. Let m = 11 - d. What is m rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 13*n - 5. Let j(x) = -3*x + 3. Let t(s) = -46*s + 36. Let y(d) = -40*j(d) + 4*t(d). Give -24*u(m) - 5*y(m).\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/(-6))\/(8\/(-36)). What is the highest common factor of 3 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001937 rounded to seven dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-6*(2*sqrt(495) + sqrt(495))*-5)\/(((sqrt(5) - (sqrt(50)\/sqrt(90) + sqrt(5))) + sqrt(35)\/(sqrt(112) + sqrt(7) - sqrt(7)))*5).\nAnswer: -648*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.4419 + 21.6011. Let t = l - 0.043. Let p = t + -22.9999946. What is p rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2. Let r(a) = 2*a**2 + 151*a - 2. Determine r(v(j)).\nAnswer: 2*j**4 - 151*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*k + 4*k + 3*k)*(18130 - 13229 + 26201) to the form b + a*k and give a.\nAnswer: 31102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-3) + -4 + (73 - (107 + -57))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -1. Let k = -17 + 18. Let q(g) = -g**2 + 3. Determine k*q(o) + 3*f(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3129, 5, 84, -0.5.\nAnswer: -0.5, 5, 84, 3129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -284, -293, -314, -353, -416, -509, -638?\n\"Answer: -c**3 - 2*c - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -96 less than or equal to -305564?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -284790*k**2*o**2 + 2*k**2*o + k**2 - 6*k*o**2 - 3*k*o + 4*k + 17*o**2 + 1882*o wrt o.\nAnswer: -569580*k**2 - 12*k + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r**2 + 374070925*r - 675987661 wrt r.\nAnswer: 4*r + 374070925","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1009872 divided by -6\nAnswer: 168312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.139 times 0.9449?\nAnswer: -0.1313411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w + 11 - 4*w - 11.\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/36 and -37\/228.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/(-105) + (-3)\/(-7). What is the second smallest value in -2, q, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15 + -13 - (-1202 + 2).\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 267172884 divided by -4947646.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*h + 89*h = 182*h + 16, -t - 9*h + 24 = 1 for t.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 7\/270*h**5 - 23*h**2 + 1\/36*h**4 + 0*h**3 + 0*h + 1\/945*h**7 + 0 + 1\/108*h**6. Factor l(j).\nAnswer: 2*j*(j + 1)**2*(j + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 377961.\nAnswer: -377966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 6\/(-4)*48\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29525282557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + d**2 - d - 1. Let w(y) = y**3 + 2*y**2 - y - 3. Let c(m) = -2*p(m) + w(m). Let q(b) = -5*b**3 + 2*b - 2. What is 2*c(f) - q(f)?\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a tonne in grams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/5 or 1064\/3981?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17550 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t + 17 - 82 = -35. Put 5, -0.5, 1, 1.8, t in decreasing order.\nAnswer: 5, t, 1.8, 1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j - 4*j**4 - 4*j + (-1 + 1 - 1)*(0*j**4 - 2*j**4 + 3*j**4) + (-2*j**2 + 2*j**2 - 2*j**3)*(-43 + 43 - 10*j).\nAnswer: 15*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 73824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 158 - 170 = 0. Is 14 a factor of (-12)\/18 - (-632)\/6*k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -161 + 169. Let y(k) = 2*k - 9. Calculate y(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41076*d + 41073*d - 82175*d.\nAnswer: -26*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r + 8. Let b be x(6). Suppose 6 = 2*j + b. Let f(q) = 3*q**3 + 2*q**2 - 3*q + 2. List the prime factors of f(j).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m - 4. Let z(p) = p - 4. Suppose -23*o = -22*o + 5. Let w(r) = o*z(r) + 4*a(r). Let l(k) = 2. What is -5*l(u) + 2*w(u)?\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 463072372?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 344192, 344193, 344194?\nAnswer: 344195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) 2 (c) -0.1 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2415?\nAnswer: 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.14, 4\/9, 37 in descending order.\nAnswer: 37, 4\/9, -0.14, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*t - 16*t - 11*t)*(3*t + 0 + 0)*(4 - 5 - 3).\nAnswer: 228*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11638 + 19627. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 197 + -1573\/8. Let g = -0.1 - -1. Let i = 1 - g. Which is the smallest value? (a) j (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224)*-4)\/(sqrt(49)\/(sqrt(21)\/sqrt(3)) + (sqrt(7) - sqrt(35)\/(sqrt(15)\/sqrt(3)))))**2.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14 - 3bcb?\nAnswer: -3c01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k - 30. Let o(d) = 9*d + 59. Give 3*o(w) + 5*x(w).\nAnswer: 2*w + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 s when two letters picked without replacement from {u: 1, h: 1, a: 2, g: 2, t: 4, s: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 2 (c) 74 (d) 62\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.43 in -1, 3, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3323 - 789.3677. Let g = 897 + h. Round g to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5*v - 4 = 11, 9 = o - 2*v. Let m = 10 - o. What is the greatest common divisor of 45 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - (-2*sqrt(143) - sqrt(143))*-4)\/(2*1*sqrt(11)).\nAnswer: -11*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 99379474 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - c = 4*m - 21, 2*c + 28 = 4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5505.289um?\nAnswer: 5505289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -22 + -5 + 10.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**9\/(b**(-2\/3)\/b*b))\/((b*((b**(-1\/4)\/b)\/b)\/b)\/b)**(2\/73) assuming b is positive.\nAnswer: b**(4273\/438)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165987 is divided by 186.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -423*z**2 + 816*z**2 - 2*z + 1264*z**2 to the form d + h*z**2 + m*z and give h.\nAnswer: 1657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -15*o**3 - 3*o**2 - 7*o - 5. Calculate d(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -12*(-8)\/(-12) + 12. Let n(l) = -l. Let a(p) = -p. Give u*a(m) - n(m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 - 37*h**3 + 3 - 47*h**3 + 2*h - 2 - 49*h**3. Let g be k(-1). Suppose -3*r = g - 323. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (170 - (30 - -72)) + 15 + (2 - -1).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/sqrt(2)*-4)\/sqrt(11).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8020, 15992, 23964, 31936?\nAnswer: 39908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 92874075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 3. Let b(w) be the second derivative of -w**3\/3 + 9*w**2\/2 + 628*w. What is 4*b(a) + 11*f(a)?\nAnswer: 3*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1816577 is divided by 363297?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1357 is divided by 446.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*f + 14*f = -4770. Let q = f + 45. Suppose -4*p + 3*p = -q. List the prime factors of p.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212340425 (base 6) to base 13\nAnswer: -a18c46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.051447 * -6.\nAnswer: 0.308682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 300505\/1612 - -134\/403. Is 188 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 7*v**4 - 52*v**2 + 100*v**2 - 46*v**2 to the form n*v**2 + l + b*v + z*v**4 + d*v**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**4 - 19*n**3 - 8*n**2 - 6*n - 3. Let m(c) = -25*c**4 + 130*c**3 + 55*c**2 + 40*c + 20. Let g(s) = 3*m(s) + 20*u(s). Let g(p) = 0. What is p?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/91349844 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/12750*-40*18\/(-8)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ho when two letters picked without replacement from {v: 2, e: 3, h: 3, n: 4, u: 1, o: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6886, 13761, 20636, 27511, 34386?\nAnswer: 41261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -l**2\/2 + 14*l + 28. Let q be i(16). Let g be ((-6)\/15)\/((-1)\/5). Put g, q, 4 in decreasing order.\nAnswer: 4, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*n - 4*n**2 - 2298 - 387 - 248 + 57 - 3*n**3 + 7*n wrt n.\nAnswer: -9*n**2 - 8*n + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004878933 rounded to five dps?\nAnswer: -0.00488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10 + (-1 - (-1 - -2)). Let r be (3 - -1)*(-1)\/(-1). Calculate the greatest common factor of z and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3663, 7340, 11043, 14772, 18527?\n\"Answer: 13*r**2 + 3638*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1462 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*h + 108 = 0. Calculate the least common multiple of h and 31 + 5 + -3 + 21*(-4)\/(-28).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/15 + 3 + 389096\/40 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 4*f = -20, 7*f - 4*f = 2*y - 13*f - 44 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -153*r - 19579. Let i be u(-128). Let d be 4\/(-2) + 7 - 2. Let o be 0*((-3)\/(-2))\/d. Solve 4*p = -3*w - 28, 2*p - i*w - 12 = -o*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6 - -793.\nAnswer: 792.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -50) + (4477 - 4557).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -0.5. Let u = -0.2 - p. What is the second biggest value in u, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -10*f - 7. Suppose -5 = 2*i + 5. What are the prime factors of o(i)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 222 - 13ac92?\nAnswer: -13aa70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 11*l - 5. Let t be r(10). Suppose 9*y - 88 = t*y. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11*b**2 + 3 - 1 - 8 wrt b?\nAnswer: -22*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -164, -250, -338, -428, -520, -614?\nAnswer: -710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 e, and 2 w when four letters picked without replacement from {w: 11, k: 2, e: 7}.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 6*j**2 - j + 1. Let q(v) = -31*v**2 - 19*v - 13. Calculate -5*c(m) - q(m).\nAnswer: m**2 + 24*m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4068 by 36.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 22*v**2 - 2*v**2 - 17*v**2. Let b(q) = -2515*q + 2515*q - 14*q**2. Give i(b(z)).\nAnswer: 588*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004655 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33 and 46673?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 4*i)*(118*i**2 + 175*i**2 - 95*i**2).\nAnswer: -792*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.21 (b) 746 (c) -1 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = l + 2*j, -63*l - 5*j = -67*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4445 + -2307. Suppose -3*g + 3428 + f = 5*y, -2227 = -2*y - g. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 + 2*o + 3. Let a be 1 - (8 + -5 + -1). Let u be h(a). Let f(d) = u*d + 3*d + 5*d - 5 + 3. What is f(-2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00032789 rounded to six dps?\nAnswer: 0.000328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*p = 1282, 193*q + 4*p - 1276 = 192*q. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -236, -1313, -3104, -5609?\n\"Answer: -357*q**2 - 6*q + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5*-6367763\nAnswer: -31838815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 2*h - 9. Let u be b(-4). Calculate the lowest common multiple of 0 + u\/(4\/(-16)) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1159030909 to the nearest integer?\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 11*v**2 + v + 14. Let t be n(-11). Suppose -11 - t = -a. Is a a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -d - 10. Suppose d*o + 2*a = 6, 2*o + 0*o - 5*a - 41 = 0. Solve 0 = -4*h + o for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**3 - 707 + 5*y**3 + 29.\nAnswer: 2*y**3 - 678","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 674*n - 5*i = 677*n - 82, -i - 70 = -3*n. What is the highest common factor of n and 8472?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2*a + 5*a + 0 as v + s*a and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001201 to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from {e: 3, r: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -4) + ((-96)\/(-816) - (-786)\/(-34)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11780 + 24249. List the prime factors of c.\nAnswer: 37, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 2\/3, -5, -97, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32397987 a multiple of 1059?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1433 - 1576.7. Let j = o + 144. Put -0.1, j, -10 in descending order.\nAnswer: j, -0.1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -599 - -598.9998602. What is z rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43, 30, 17, 10, 15?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -12\/5, -1.1, 9\/25, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 20*b**2 - 20*b - 16. Let a be i(-19). Calculate the highest common factor of a and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/3 - 124*t**3\/3 - 3403*t**2\/3.\nAnswer: -t**2*(t + 41)*(t + 83)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 13*q + 2. Let n be j(4). Find the common denominator of ((-76)\/(-7))\/(n\/(-42)) and (-122)\/(-18) - (-26 + 33).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-9))**(-30))**(1\/40))**(-5) assuming t is positive.\nAnswer: t**(-135\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -2*u**6\/75 + 61*u**5\/25 - 64*u**4 + 120*u**3 + 2374*u. Let t(j) = 0. What is j?\nAnswer: 0, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -2 - 3 - -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.873238 to two decimal places.\nAnswer: 4.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -1, 3, 5, 4 in descending order.\nAnswer: 5, 4, 3, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 7*d - 6. Let h be t(6). Suppose 2*x - 2 - 2 = h. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - v - 30. Give p(0).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 13*c**2 + 29*c - 11. Let a be r(-15). Suppose -5*g = m + 314, 0 = 5*m - a*g + g + 1654. Let h = -189 - m. Is h a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**4 - 21082*o**3 - 274534*o**2 + 1372122*o - 1076508 = 0.\nAnswer: -17, 1, 3, 10554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3127 + -3?\nAnswer: 3124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(8\/(-14)*(-230)\/(-460)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -14*m - 65. Let j = m - 3. Is 3 a factor of 1\/(j\/(-5) + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72750521 to the power of 1\/2, to the nearest integer?\nAnswer: 8529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27916 + -27915.88791. What is v rounded to three dps?\nAnswer: 0.112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -282*n - 4*n**2 + 85*n - 1913*n.\nAnswer: -4*n**2 - 2110*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 111024053?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1877568.\nAnswer: 2, 3, 7, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 703, 1377, 2049, 2719, 3387, 4053, 4717?\nAnswer: 5379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231374.\nAnswer: 2, 11, 13, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1)*(-3 + 3 + r) - 5*r - r + 3*r - 5*r - r + r + (-2*r - 1 + 1)*(-3 + 2 - 1).\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(13*k**3 + k - 27*k**4 - 390027*k**2 + 390027*k**2).\nAnswer: -54*k**4 + 26*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/5 - 774*i**2\/5 - 1533*i - 3820.\nAnswer: -(i + 5)**2*(i + 764)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(39)*-2)\/sqrt(3) - sqrt(13)).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*x - 29*x + 0 + 11*x - 6*x + 1.\nAnswer: -48*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.019717 rounded to two decimal places?\nAnswer: 38.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -7, -11, 50, 3, 4.\nAnswer: -11, -7, 3, 4, 8, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 1. Let z(p) = -p**2 - p - 2. Let b(y) = -3*t(y) - z(y). Calculate the remainder when 11 is divided by b(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1654261 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2321*a - 848.\nAnswer: -2321","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or 338927?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-1)\/(-2) + ((-450)\/20)\/(-9)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 467018767 to the nearest integer?\nAnswer: 21611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 32883, 53025, 73165, 93303, 113439?\n\"Answer: -f**2 + 20145*f + 12739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b**5 - 3*b**4 - 8*b**2 + 3*b + 3. Let i(s) = -s**5 + s**4 - s**2 - s - 1. Let a(k) = 3*i(k) + x(k). What is the third derivative of a(d) wrt d?\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**4 - 39*g**3*h + 262619*g**3 + 57*g**2*h - 2*g*h + 8*g - 573*h + 13 wrt g.\nAnswer: 48*g - 234*h + 1575714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4984, 9152, 13320?\n\"Answer: 4168*o + 816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7657086 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*f = -9*f + 6696 for f.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2584 + 2641. What is the remainder when 1080 is divided by x?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 688.1.\nAnswer: 692.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 7*t - 4. Calculate the remainder when 26 is divided by d(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 6. Let f be (-99)\/6*(-6)\/9*1. Let h = -161 - -225. What is the remainder when h is divided by k(f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/10*1405\/57. Let h = b + -104\/19. Let y = 15 + h. Is 1 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 46916559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/41544247?\nAnswer: -3\/41544247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f**2 - 19*f - 1. Let l(p) = -9*p**2 - 37*p - 1. Let h(a) = -5*g(a) + 3*l(a). What is the least common multiple of h(-8) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*n - 17, 13 + 0 = 2*n + x. Suppose -3*q - 2*h = -0*h + 7, 0 = -3*q - n*h - 22. Let v = 345 + -343. Calculate the remainder when v is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332669760.\nAnswer: 2, 3, 5, 47, 73, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 188*z - 230*z - 42 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -17*u + 38. Let i be o(2). Let j(b) be the second derivative of 0*b**3 + 0 + b + 5\/6*b**i - 11\/2*b**2. Find the first derivative of j(n) wrt n.\nAnswer: 20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14892 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: b\"What is the gth term of 99, 85, 69, 51, 31, 9?\n\"Answer: -g**2 - 11*g + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5 - 2 + 7*p**3 - 3 + 2*p**3 wrt p?\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -2*a + 2*f, -13 = -a - 5*f + 4. Let v = -29 + 31. Suppose 0 = -2*b - v*b + a. Calculate the lowest common multiple of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1)\/((-6)\/(-36)) - (-333 - -367)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxexjju. Give prob of picking 2 x and 1 j.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -421 - 132*h + 132 + 284 + (-2 + 0 + 1)*(-5*h + h + 2*h) to y + x*h and give x.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f - 1. Let h be z(0). Let w be 11 + (-1 - -1)\/h. Solve -2*p = k + w, -3*p = -k + 2*k + 14 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 149*d + 1493. Determine t(9).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1354*o**2 - 2709*o**2 + 1244*o**2.\nAnswer: -111*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 192\/(-640)*(-156)\/117\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three fifths of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 3*m. Suppose -s + 20 = -m*s. Let d = s + -13. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(4\/5))\/(s\/(((s**(-9)\/s*s)\/s*s*s*s)\/s))*(s**(-1\/7))**47)**(-3\/13))**(1\/2) assuming s is positive.\nAnswer: s**(1629\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 76943 by -1.\nAnswer: -76943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -115*g*t**2 - 18*g*t + g + 4*t**2 + 12*t wrt t?\nAnswer: -230*g + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + sqrt(7)*2).\nAnswer: -2*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 1\/59452338?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 3054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-66) - (-3)\/9. What is the nearest to -3 in -0.3, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 4 - 5)*(2*g**2 - 2*g**2 + 2*g**2) + 161*g**2 - 626*g**2 - 76*g**2 + g**2 + 0*g + 0*g)*(-g**3 - 2*g**3 + g**3) - 5*g**5 + 2*g**5 + g**5.\nAnswer: 1082*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -206 in 5, -2\/3, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 8:41 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 22*y - 36. Calculate the remainder when 245 is divided by r(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-261)\/6960*-80)\/(7\/2)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -8. Let z(s) = -s**3 - 6*s**2 - s - 2. Let r be z(-6). Solve -q*o = -0*o + r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bu when two letters picked without replacement from wcwwcwuuabwwwwwwwwuw?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a tonne in kilograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -10*h**2 + 347*h - 1716. What is a(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 4*p**2 + p. Let x = 12 - 9. Determine v(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.08, 5.23, 2\/7 in increasing order.\nAnswer: -5.08, 2\/7, 5.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 2*f**2 - f + 1. Let c be q(-2). Suppose -126 = -c*i + 2*i. Let x = -1118\/9 + i. Calculate the common denominator of x and 41\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -102011322332?\nAnswer: 102011323002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y**3 - 2*y**2 - 3*y - 1. Let o(j) = 4*j**3 + 2*j**2 + 3*j + 1. Let x(d) = -4*o(d) - 5*r(d). What is x(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 2*g = -892. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*z = -4, 0 = -3*v + v - 2*z + 6. Find the second derivative of -v*c**5 + 1 - c**5 + 14*c**2 + 0 + 2*c + 6*c wrt c.\nAnswer: -100*c**3 + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2366 and 4550.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 - 621*z**2 - 18513*z - 149991.\nAnswer: -3*(z + 17)**2*(z + 173)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*y = -2*q - 1, -5*q - y + 9 = 0. Suppose 4*v - u + 171 = 9*v, 0 = -q*v + u + 74. List the prime factors of v.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43983334 is divided by 5414?\nAnswer: 5412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -d + 77, -2*d = -9*z + 11*z - 152. Suppose -4*l + 2*m = d - 189, 88 = 3*l + m. Calculate the remainder when 101 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(14)*-1)\/(2*sqrt(7)*-3) + 0)**2.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s - s - s)*(2 - 3 + 8) - 2*s + 2*s - 2*s to i*s + t and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k = 11*k + 2*n + 177878, 44472 = k - n. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**28*b*b)**(1\/4)*b**(1\/24)\/b*b**43 assuming b is positive.\nAnswer: b**(1189\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 420 - 418. Suppose f*b = -5*b + 11*b. Solve b = j - 4*t - 1 - 12, 5*t = -3*j - 29 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*t**3 + 286344*t**2 + 28*t**3 + 6*t**3 + 286346*t**2 - 572690*t**2.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1461697668 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(19))*-4*-5.\nAnswer: -40 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42.189 + -39.31. Round k to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11626390 divided by -58.\nAnswer: -200455","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 4975\nAnswer: 4\/4975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.047 in -0.027, -1\/2, -0.1?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23.5 - -23.3. Let g = -7 - -25\/4. Is g < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*g - 3 - 7 + 20*g in the form c + p*g and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21170, 21218, 21270, 21332, 21410?\nAnswer: 21510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -404 + 8482\/21. Suppose -l = l + 2, -4*l = -2*p + 10. Suppose 0 = -7*x + 10*x + p. Which is bigger: g or x?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*h = -165*h + 95. What is the fourth biggest value in 12, -0.3, h, 1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 98 + -140. Let t(i) = 12*i + 228. Let w be t(-19). Sort w, 2, r.\nAnswer: r, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - -2 - (-9)\/(-4). What is the smallest value in h, -0.5, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 + 64 + 173*p + 179*p - 516*p + 172*p.\nAnswer: -2*(p - 8)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/4 of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*o = -5, -h + 4*o - 4 = 11. Suppose -17*x = -7*x + 30. Let r be (-5 - -4)*(-10 - x). Put h, r, -2 in decreasing order.\nAnswer: r, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 30 = 10. Suppose 1044 = 11*n + 1011. Which is the third biggest value? (a) 1\/3 (b) 6 (c) n (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 440 divide 3154419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7350*y - 2*u + 10 = 7352*y, 3*u - 23 = 5*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -964 + 970. Let u(p) be the second derivative of p**6\/720 + p**5\/60 + p**4\/3 + 4*p. Let s(v) be the third derivative of u(v). Give s(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 6:24 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 58457091 divided by -27797\nAnswer: -2103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n = 8*n + 312. Solve 0 = -6*a + n*a + 72 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 0*v + 0*v - v. Suppose 4*y + 28 = 5*q, -3*q - 15 + 25 = y. Let c be b(q). Sort c, 2, -2 in ascending order.\nAnswer: c, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(-3 + 16\/12). Let b(t) = 4*t + 4. What is the remainder when b(u) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -89\/1133863?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*i**3 + 22*i**3 + 54*i**3 - i**2.\nAnswer: 16*i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/9 or -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8720432 to the power of 1\/2, to the nearest integer?\nAnswer: 2953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/6*(-99)\/(-6). Solve -2*j - r - 3 = -2*l, 2*j - l + 10 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 3*a**2 + 2*a. What is p(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29020193 to the nearest integer?\nAnswer: 5387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*a - 3*a + 10*a)*(0 - 4 + 1)*(-3*a - 2*a + 4*a).\nAnswer: 45*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*z - 9 = 4*z. Which is the nearest to 0.1? (a) -4 (b) z (c) -0.4 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/20 + 4\/(-10). Suppose 3*n + 2*s + 183 = c, -3*s = 2*n + 3*n + 306. Let q = 99 + n. Is 16 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10640 by 4.\nAnswer: 2660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3\/7 - 3210*t**2\/7 - 381375*t - 21262500 = 0. Calculate t.\nAnswer: -1575, -60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 175816 and 20.\nAnswer: 879080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 267\/(-15) + (-2)\/10. Let m = a - -27. What is z in -25*z**2 + 10 - 4*z + m*z**2 + 2 = 0?\nAnswer: -1, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.6871 weeks to hours.\nAnswer: 5155.4328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 10) to base 2\nAnswer: -101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -1\/2, -2\/55, 5, 0.4, -5, 6\/5?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 719 - 579. Let p(v) = -v + 12. Calculate the lowest common multiple of h and p(-12).\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5516 - 11024 + 5571 - 4*p to u*p + b and give b.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2739 divide 2546280268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.64233ml in litres?\nAnswer: 0.08664233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 38 = n, 1287*n = 1285*n + 3*v - 20. Let s(w) be the second derivative of -46*w + 1\/6*w**3 + 0 - w**n. Give s(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/3))**19*j\/((j**(1\/2)*j*j*j*j)\/j)*j\/(((j*j**5)\/j)\/j))**18 assuming j is positive.\nAnswer: j**129","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14399 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*i - 21*i + 180 = -6*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 4*b**2 - 7*b - 1. Let h be v(-5). Suppose 4*z - h = 5*z. Is z less than or equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/182)\/((-950)\/950)?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, 51\/5, 3\/5, 5, 130?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 3*f + 72 = 0. Calculate the lowest common multiple of f and 15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 divided by -107?\nAnswer: -33\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 + 0)*(-15*f**2 - 2 - 12*f**2 - 15*f**2) as a*f + g*f**2 + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/4*4\/(-5). Let o be 1\/(-8)*(-26)\/13. Let j = -3 - -6. What is the nearest to 0 in t, j, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1885 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87921 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6034*w - 393*w - 35445 = 662*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 0*v - 49 + 0*v**2 + 266\/3*v**3. Let r(w) = -w. Determine r(q(p)).\nAnswer: -266*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 0 (c) -0.3 (d) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-456)\/532)\/(((-6)\/(-14))\/(-3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15 or 7116\/521?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 16934365 divided by -5?\nAnswer: -3386873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -148 + 175. Let n(k) = 13 - 3*k - h - 2*k**2 + k + 11. Calculate n(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 53 + 221 = 0. Let w be (-2)\/(-9) + (y\/36 - -2). Let v = 0.4 + -0.8. Which is the third smallest value? (a) w (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or -6923956?\nAnswer: -6923956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 17\/2 of a kilometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (328\/3)\/(((-10)\/12)\/((-420)\/336)). Calculate the greatest common factor of m and 9143.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 16*q + 13*q - 8 = 0, -2*h = -2*q for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 425 and 1796985?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hs when two letters picked without replacement from {h: 5, s: 3, c: 5}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 2*m = -4344, 4*f = 2*m + 4012 + 340. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15004.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -171, -366, -567, -774, -987, -1206?\n\"Answer: -3*p**2 - 186*p + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -12*b. Let h(d) = -d**3 + d**2 + 84. Let z be h(b). Suppose 0 = -5*a + z + 66. Calculate the highest common divisor of 30 and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 d when three letters picked without replacement from {n: 2, u: 1, r: 2, d: 4, e: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from {h: 3, s: 3, q: 3, c: 6}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 + 36. Let t be y\/(-38) + (-61)\/38. Put 0.17, 2\/3, t in decreasing order.\nAnswer: 2\/3, 0.17, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/4004 and -4\/324555.\nAnswer: 16876860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9207\/3410*(-1)\/12)\/(6\/(-5))?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 109 and 116 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + (3894\/(-648) - -15))\/(24\/72)?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 276 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 198712828*b**3 - 161455590 wrt b.\nAnswer: 596138484*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s - 14*s - 11*s + 2788 + 25*s + 0*s + 0*s.\nAnswer: -2*s + 2788","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 5:05 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 2)*(-t + 0 + 0) + (-3 - 2 + 2)*(7*t - t - 3*t) + 2*t + 3*t - 3*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -o**2 + 1\/3*o**3 - 12 - 14*o. Calculate the smallest common multiple of t(10) and 14.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 10*f + 7. Let j be q(9). Let z = 0.8 - -0.2. Which is the nearest to j? (a) 1\/6 (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 2*q - 14. What is d(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-79)\/(-127980)*-36*(-10)\/(-13).\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 455356067 a multiple of 3512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 - 22*x + 5214. Calculate g(-84).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 8c?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -14*(2 - 1)*12\/(-8). Let f be 6\/4*56\/z + -1. Is f equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 191035 and 382070.\nAnswer: 382070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43364999 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 658949117?\nAnswer: 658949117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 5 + 15. Suppose 0 = 3*z + 3, o + 3*z = 6*z + 8. Suppose o*f - 20 = -0. Solve -3*s - 16 = -f*d - 7*s, 5*s - h = 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = -2*u - 5*i, -u - 27 = 3*i - 2*i. Let q = -28 - u. Suppose -q*x + v + 3*v + 116 = 0, -3*x + v = -184. Is x a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*y - 43*y = -56 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - x**2 - 12*x. Let s(y) = 652*y**3 + 2*y**2 + 24*y - 15. Determine -2*g(b) - s(b).\nAnswer: -650*b**3 + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9.618899m?\nAnswer: 9618899000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -77, -160, -265, -386, -517?\nAnswer: -652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -35.19 (c) 11177\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0401 in -2.38, 0, 0.5, 7, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -8.8, 0.55, 1803, -0.01 in ascending order.\nAnswer: -8.8, -3\/4, -0.01, 0.55, 1803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -59*w**3 + w**2 - 8800*w + 113683907 wrt w.\nAnswer: -177*w**2 + 2*w - 8800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.4351354 - -2.67413673. Let i = -0.0056 - -0.2446. Let l = i - p. Round l to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0.4, 5\/17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - -2*1\/(-2). Suppose 0*m - m + 20 = p. Solve -4*q + 0*q + m = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o + 4. Let f(h) = -h - 6. Let q(r) = 3*r + 17. Let l(d) = 17*f(d) + 6*q(d). Let a(g) = 2*l(g) - n(g). Calculate a(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6\/11))**(-1\/3) assuming b is positive.\nAnswer: b**(2\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.1 + -54.1. Let y = -44.5 - t. Let c = 6 - 1. Put y, c, 1\/2 in descending order.\nAnswer: c, 1\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, 4, 50 in descending order.\nAnswer: 50, 4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 14, 1?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 11 = -3*l, -5*j - 20 = -589*l + 587*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 99*y**2 + y - 3. Suppose -3*d + 7*d = 8. Let a be r(d). Suppose v = 2*v - a. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -224 + 2*o - 285 + 78 - 32 + 20 to l + t*o and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (110*n - 110*n - 20*n**2)*(-n**2 - n**2 + 4*n**2)*(-2 + 2 - n).\nAnswer: 40*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40\/(-3 + 11) - -103 and 32.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/4*((-94)\/1175)\/(1\/(-10))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48*o*w + 8*o + 194*w + 1 wrt o?\nAnswer: 48*w + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 12. Let y = -25 + v. Let t = y + 28.999987. What is t rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 357 = 351. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*q + 3*d, 3*q - 3*d + 0 - 12 = 0. Let w(z) = 2*z**2 - 5*z + 6. Calculate the smallest common multiple of 10 and w(q).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -416, -414, -412, -410, -408, -406?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 225506.5 millennia to months.\nAnswer: 2706078000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/35 - (-11)\/((-110)\/(-116)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3)*(-3*z + 8*z + 10*z).\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.6434 micrograms to tonnes.\nAnswer: 0.0000000000316434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-one quarters of a litre?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1256 divide 34630660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 5*x = 25, 0 = 18*z - 13*z + 2*x - 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.181401*407.\nAnswer: -73.830207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80723 - 23296*a + 46598*a + 103*a**3 - 23302*a + 80725.\nAnswer: 103*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8348375?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-44*y + 25*y**4 + 44*y)*(-5 + 1 + 2 + 1 - 5 + 1 + (-1 + 2 + 0)*(-4 + 0 + 3)) to h*y**2 + w + l*y + m*y**4 + z*y**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 18479?\nAnswer: 1034824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7197 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*x + 0)*(-3 - 1 + 0)*(-2*x**2 + x**2 - x**2).\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + sqrt(2299) + sqrt(2299) + sqrt(2299) + 3))**2*2.\nAnswer: 264*sqrt(19) + 41390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 + 0.16. What is the closest to g in -1\/7, 0.2, -1, 1\/6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (322 - 47*x - 649 + 326)*(-2*x - 1 + 1) to the form c*x + i + o*x**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 879 in increasing order.\nAnswer: -4, -1, 879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -1656?\nAnswer: -1664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 34*n**2 - 4*n**3 + 4*n**5 - 3*n**5 - 34*n**2 = 0. What is n?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03299 + 545195\nAnswer: 545195.03299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + 2 - (44 + -34 + 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**2 - 6*s + 9. Let c = -12 + 5. Let t be b(c). Suppose -723 = -4*k - t. What is the highest common factor of k and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4039*m**6 + 254*m**5 - 200*m**2 + 66*m.\nAnswer: 484680*m**3 + 15240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.094, 3\/2, 95, -1?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3*u**2\/4 - 48712159*u - 32474773 = 0.\nAnswer: -2\/3, 64949546","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -206, 0, 112 in decreasing order.\nAnswer: 112, 0, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(190) + -2*sqrt(190))\/sqrt(10))*5 + -3.\nAnswer: -5*sqrt(19) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**3 + 2*p**2 - 5*p. Let a(w) = -w**2 - 4*w - 5*w + 10*w. Let v(f) = 4*a(f) + o(f). Give v(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 6338*s + 3640. What are the prime factors of p(9)?\nAnswer: 2, 30341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 578347 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1665.9546 months in decades?\nAnswer: 13.882955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 8 = -x - 4*w, -x - w = 0. Let u = -65564 + 196696\/3. Which is the closest to -1\/4? (a) -1 (b) u (c) 0.2 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -80400*t**2 + 32654*t?\nAnswer: -160800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 62524?\nAnswer: -62521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 28 - 12 - 0) + -15.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -262617708*d**3 + 2*d**2 - 733924919*d wrt d?\nAnswer: -1575706248*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -41515*v**2 - 2 + 41381*v**2 + 8 - 3*v - 6 as a*v**2 + c + z*v and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**2 + 4*s**2 + 6*s**2 - 10*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in -3.8, 11, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2430546, -4861089, -7291632, -9722175, -12152718, -14583261?\n\"Answer: -2430543*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 4*p**2 + 3*p - 3. Let f be q(-5). Suppose f - 17 = -n. Let t be (4\/10)\/(n\/100). Solve t + 0 = -4*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -10. Suppose -v*q = -q - 39. Is 14 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -16673*z. Let n(q) = 17*q**2 + 4*q. Let u(x) = 9*x**2 + 2*x. Let l(d) = -n(d) + 2*u(d). What is t(l(r))?\nAnswer: -16673*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -191839526?\nAnswer: -191839526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13532.9895*0.1.\nAnswer: 1353.29895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-30) - -1)\/(9*13\/1170)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 38380391*k - 12406002 with respect to k.\nAnswer: 38380391","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 75311448755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 356229 and 356229.\nAnswer: 356229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1117.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.4, 104.1, 5.64, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 220743151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 246581095091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a second in milliseconds?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -196\/11 smaller than -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**4 - 60*o**3 - 162*o**2 - 156*o - 51 = 0. Calculate o.\nAnswer: -17, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16 + 352*g**2 + 145*g + 515*g + 16 + 133*g wrt g?\nAnswer: 704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55 and 80597?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 1\/6*d**3 + 0*d**2 + 0 - d. Let p(z) = 4*z**2 - 2*z**2 - 4*z**2. What is p(t(k))?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 39307 * 0.5\nAnswer: 19653.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 - 4*x - 2*x**2 + 2*x**2. Suppose 24 = -4*f + 12*f. Determine j(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 - -58. What are the prime factors of ((-3)\/4)\/((-1)\/u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 74\/(-4 + 2) + 1. Let b = 40 + o. Suppose -j = -b*j - 5*s + 19, 5*j - 19 = -2*s. Solve -5*l - 11 = 4*w, -l = -0*l + w + j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjj. Give prob of sequence jj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 99*r - 160. What is the remainder when 290 is divided by k(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -66*h**2 - 841*h - 623. Calculate o(-12).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1192 divided by -319.\nAnswer: -1192\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 3:24 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/(-21) + 2\/(-14). Is p less than -1\/57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 10:28 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.13 and -352283.\nAnswer: -45796.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/2, 0.01, 1\/10 in decreasing order.\nAnswer: 1\/10, 0.01, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 589203, 589154, 589073, 588960, 588815, 588638, 588429?\nAnswer: 588188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -113*-2.\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/40*36\/63.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**12*o**(-2\/17)\/o*(o**(-5)*o)**(-11\/7))**10 assuming o is positive.\nAnswer: o**(20430\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 177 divided by 32\nAnswer: 177\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.1 - -4.9. Which is the second smallest value? (a) s (b) 2\/3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 125 + 56. Suppose k - g = 149. Let s(c) = k*c + 18 - 329*c - 5. Determine s(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-119643)\/(-30))\/(-19) + 4\/(-40). Let v be (-42)\/g - (-128)\/10. Solve -5*n = 7 + v for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a week in minutes?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -11223431?\nAnswer: -11223432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35083 and -5?\nAnswer: -175415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2 - 23*b - 21. Determine h(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -75 + 4*s**2 + s**3 + 2*s**2 + 67. Determine m(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 17*u - 4. List the prime factors of n(8).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -18114*k**3 - 10*k**2 + 2*k - 4. Let z(c) = 33311647*c**3 + 18395*c**2 - 3679*c + 7358. Determine -3679*u(o) - 2*z(o).\nAnswer: 18112*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 724, 722, 720?\nAnswer: 718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 11:58 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (66\/(-15))\/((-2)\/10). Let i = -16 + c. Suppose -3*q = 2*v - 5, v + 0*v + 3*q = 1. Solve -8 = -3*k + 5*n, v*k + 0 - i = 2*n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12075629 and 377.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40.9 + 41. Let h = -1\/27 - -61\/189. Which is the closest to q? (a) 4 (b) h (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b - 84. Let h(p) = -8*p + 6. Calculate s(h(k)).\nAnswer: 16*k - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b\/(b\/b**(-10)))))\/b**(-2\/29)*b**10*b*b*b**7*b assuming b is positive.\nAnswer: b**(292\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5323560 * 0.2.\nAnswer: 1064712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwzwwzz. What is prob of sequence zwzz?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10771, -10749, -10717, -10669, -10599?\nAnswer: -10501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1027.1 - -0.3.\nAnswer: 1027.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 283, 290, 297, 304?\n\"Answer: 7*h + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101112 (base 5) to base 4.\nAnswer: 113230020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62857 and 192634.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1903 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: Let v(s) = -2*s**3 + 3*s**2 - s + 7. Let i be 4 - 5 - ((-10 - -2) + 1). Suppose 36 = -10*c + i. What is the tens digit of v(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i - 6. Let a be w(5). What is the third derivative of -a*n**3 - 31 + 31 - 8*n**2 wrt n?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.5944447 kilograms?\nAnswer: 0.0005944447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of d**4\/12 + d**3\/3 + 16*d**2. Let j be c(0). What is the greatest common factor of j and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 + 774897*h + 1549790.\nAnswer: (h + 2)*(h + 774895)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from omuuzmmezmmmmeuzz. What is prob of picking 1 o and 3 m?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6879571?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 57918840 a multiple of 361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(-4))**(-4\/7) assuming h is positive.\nAnswer: h**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**2 + 2*m - 1. Let r be t(1). Suppose 2*j = -3*k + 67, 0 = k - 0*j - r*j - 26. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 134 + 6744?\nAnswer: 6878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -4*s - 48 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rihrrrhri. Give prob of picking 3 r and 1 h.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -43658*u - 218205. What is n(-5)?\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 + -112. Let h = 54 + f. Let o = -9 + 4. What is the nearest to -4\/3 in 1, h, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -544\/217 + 60\/31. Let j = 1055 + -1054. Let d = 0.06 - -0.44. Which is the closest to 1? (a) d (b) g (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*t + 323*t = 2510 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**8*w**3*w*w*w\/w**(7\/2)*w\/(w\/w**(2\/5))*w*w*w*w assuming w is positive.\nAnswer: w**(149\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 17*k - 18*k. Suppose -11*h - k = -70. Solve 0*y - 2*y = -b + h, 0 = y + 5*b - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24*z**2 - 204356*z - 20965517?\nAnswer: -48*z - 204356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11a9116 (base 12) in base 3?\nAnswer: -20111200100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-2) - 36816\/1534\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b\/((((b*b**16*b)\/b)\/b)\/b)))\/(b**(-17)*b))**19 assuming b is positive.\nAnswer: b**570","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**2 - 2 + 2. Let z(t) = -4*t + 3. Let i(d) be the first derivative of 7*d**2\/2 - 5*d + 2. Let q(a) = 3*i(a) + 5*z(a). Determine u(q(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -41, -68, -77, -68, -41, 4, 67?\n\"Answer: 9*p**2 - 54*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22602 - 22522. Suppose 3*u - 3*k - 225 = 0, u - 4*k + 260 = 4*u. What is the lowest common multiple of u and c?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -964, -961, -956, -949, -940?\nAnswer: -929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1016 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51.3 - -46. Round d to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 243.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.495886 to two decimal places.\nAnswer: 22.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 158*j + 77*j + 2*j + (4*j + 4*j - 6*j)*(-2 + 2 + 2).\nAnswer: 241*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 9:53 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 10:08 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 4*m - 24, -2*z = -3*m + 5*m - 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 9*s**2 - 2*s - 13. Let j be (-6)\/4*(-6 + 3 - -1). Suppose -j*w + 3*k = -0*k + 12, 0 = -4*w + 2*k - 26. Calculate c(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7980846 to the power of 1\/2, to the nearest integer?\nAnswer: 2825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c + 4*c + 0*c + 2*c - 4 + 4 + (-1 + 3 - 1)*(-2*c + 3*c + 0*c) - 3*c - 2*c + 2*c - 46 + 4*c - 150*c + 46.\nAnswer: -145*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 648 + 305579795.2?\nAnswer: 305580443.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69149?\nAnswer: 69149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/((-7)\/(-42))*19\/342*45?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -11*b**2 - 87*b - 3. Let g(y) = -50*y**2 - 345*y - 11. Give 2*g(j) - 9*l(j).\nAnswer: -j**2 + 93*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 19*p**2 - 20*p - 21. Determine q(20).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**4 - 18*w**3 + 39*w**2 - 36*w + 12 = 0. Calculate w.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*u - 7. Let v = u - 7. Put 3, -5, v in increasing order.\nAnswer: -5, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -309)\/(11\/165). Suppose -h = 2*f + 4610, 6*f = -h + 2*f - a. What is h rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -668, -427, -198, 13, 200, 357, 478?\n\"Answer: -w**3 + 248*w - 915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38.956 + 39. Let l = -0.0440001 + x. Round l to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*r + 2*r**3 - 7*r - 1 + r**2 + 124*r**4 + 13*r + r to o*r**2 + w*r**4 + g + y*r + s*r**3 and give w.\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*x - 24*x + 11*p + 8, -11*p - 50 = 2*x - 4*x for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -83 - (-3 + (14 - (37 - (9 + -2) - 8)))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14\/11*h**2 + 30\/11*h + 18\/11 + 2\/11*h**3.\nAnswer: 2*(h + 1)*(h + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6898106*r - 1372 = -6898155*r for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -1048*g - 47. Let n(f) = -524*f - 18. Calculate -5*n(b) + 2*o(b).\nAnswer: 524*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 6526 + 3808 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**3 - 334*x**2 - 995*x - 662 = 0 for x.\nAnswer: -331, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 4 + d + d + (-2 - 1 + 5)*(-1 - d + 1) + 1 - d - 1.\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*l - 139 - 111. Suppose l*v = 22*v + 24. Let x = 5 + -1. What is the greatest common factor of v and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/5 - 4*w**2 - 54*w\/5 - 36\/5.\nAnswer: -2*(w + 1)*(w + 3)*(w + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bc8a (base 14) to base 6.\nAnswer: -411110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -125*y**2 + 25*y + 61. Let k be x(-2). Which is smaller: k or -1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -11. What is the third biggest value in 0.5, -3\/5, o?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1437 is divided by 535.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 113459 a multiple of 424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6841 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 - 402 = -17*g - 3*g. Calculate the remainder when 242 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58609281 is divided by 1334?\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45685683?\nAnswer: 3, 107, 47441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-66)\/(-12) - 3)*2. Solve -3*a - p = -2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(77)\/(-1*sqrt(275)).\nAnswer: -6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1838939.2 to the nearest ten thousand.\nAnswer: 1840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - ((8 - (-3 + 16)) + 15 - (45 - 24))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 + 64. Let d = -30 + k. Which is smaller: d or 0.09?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 5*u**2 - 310497070*u + 4820421523929245 = 0.\nAnswer: 31049707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65\/((-105)\/(-2380)*4\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709661837 to the power of 1\/3, to the nearest integer?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fy when two letters picked without replacement from yrrryfffryrrr.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1730221193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.771 - 53618913?\nAnswer: -53618914.771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.24271 hours in days?\nAnswer: 2.46844625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**7\/315 + 176*a**6\/45 - 30976*a**5\/15 + 5451776*a**4\/9 - 959512576*a**3\/9 + 45*a**2. What is h in x(h) = 0?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(8\/12) + (-12045)\/(-72). Let s = -521\/3 + h. Find the common denominator of s and -17\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4 - r**2 + 0*r - 3 + 6*r + 0. Let k be f(4). Is (-8)\/(-12) + k\/(-3)*-2821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)*3 + 5 + 0 + sqrt(7) + ((sqrt(196) - sqrt(196)*-2 - sqrt(196))\/sqrt(7))\/((sqrt(40)*2 - sqrt(40))\/sqrt(10)).\nAnswer: 5 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -3*z - 5*k - 12, -4*k = -4*z + 32. Suppose 13 = -4*m - z. Which is bigger: m or -7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -133, -178, -203, -202, -169, -98, 17?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5 - 3)*(3 + 3 - 3)*(-199 + 39 - 114)*(0 - n + 0) in the form v*n + l and give v.\nAnswer: 822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/3 - 22\/(-3). Let p(q) = 7*q**3 - 5*q**2 - 5*q - 1. Let n(i) = -8*i**3 + 5*i**2 + 6*i + 2. Let m(w) = z*p(w) + 6*n(w). Calculate m(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -5*z**2 + 43800*z - 95922000 = 0.\nAnswer: 4380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 less than -385774?\nAnswer: -385818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 25 = 5*o, 0 = 60*k + 3*o - 472 - 101. Find c, given that -k + 200*c**4 - 75*c - 165\/4*c**3 + 375\/4*c**5 - 335\/2*c**2 = 0.\nAnswer: -2, -2\/5, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 1:05 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 divided by 49.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.23*-459125\nAnswer: 105598.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, b: 1, v: 2, o: 3, r: 2, u: 2}. What is prob of sequence uru?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1743373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c**18))\/(c*c**(-2\/11)))\/((c*c**15)\/c**(2\/27)))**(1\/4) assuming c is positive.\nAnswer: c**(-10319\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.63 + 2.152. Let i = f + -0.022. Let k = 24 + -24.2. Which is the closest to -2\/7? (a) k (b) i (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314*m - 35286 + 39054 = 0 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s + 34. Let j be h(-4). Let p be -1 + 216\/j - 4. Factor 2\/7*c**2 - 1\/7*c**4 + 0*c + 0 + p*c**3.\nAnswer: -c**2*(c - 2)*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 275607, 551247, 826907, 1102593, 1378311, 1654067, 1929867, 2205717?\nAnswer: 2481623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2617 - -2838. What is the greatest common factor of 765 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -3*sqrt(720))*1 - (sqrt(720) + (sqrt(720) + 0 + sqrt(720))*-2 + -4 + -2*sqrt(720))**2.\nAnswer: -18018 - 516*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/2))**(3\/7) assuming f is positive.\nAnswer: f**(-3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2. Let a(m) = -406044984*m. What is a(o(b))?\nAnswer: -812089968*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**3 - 9*v**2 - 4*v + 14. Calculate the remainder when 148 is divided by z(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/28 - (240\/(-39) + 6). Which is the third biggest value? (a) 0.2 (b) -2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r, 0 = -5*x + 3*r + 77838 - 29398. What are the prime factors of x?\nAnswer: 2, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-5*sqrt(119)\/sqrt(7))**2 + 5 + (sqrt(2448) - (5*sqrt(2448))**2).\nAnswer: -54395 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 43 + 170. Let i = 104 - k. What are the prime factors of i?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216 and 30024?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**10*(o\/(o\/(o\/(o*o\/o**(2\/3)*o))))\/o*o)\/(o*o**(-2\/13))**13)**24 assuming o is positive.\nAnswer: o**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 284414*d*i**3 + 8*i**3 - 5*i**2 - 14 wrt d.\nAnswer: 284414*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) - (-5 + sqrt(891)))*-5 + 4 + 3 + sqrt(891))**2*-3.\nAnswer: -3645 + 972*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -374?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 8 = 7. Let j(r) = -r**2 + 6*r - 4. Let z be j(q). What is the highest common divisor of z and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1160178 + 0.116. What is r rounded to six dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2298892 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-113220)\/1036 + 84 + (12\/14)\/3.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1224 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10808 is divided by 10803.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1269*u - 2715 - 4916 - 12820 = -1416 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, 0.2, -12, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1105 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1598527685.\nAnswer: 5, 157, 2036341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 118 + -179. Let c = q + 69. Suppose 0 = c*d - 4*d - 580. List the prime factors of d.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 + 3*u**3 - 4*u**3)*(0 - 5 + 3) + 5*u**3 - 3*u**3 + 0*u**3 + (-12*u + 14 - 14)*(-3 - u**2 + 3).\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 8:26 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1535.\nAnswer: 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d5e6 - 1?\nAnswer: -1d5e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -537 or -4029?\nAnswer: -4029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 308.4308ml in litres?\nAnswer: 0.3084308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**2\/11 + 20*y = 0.\nAnswer: 0, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346*g - 148*g - 106*g - 84*g.\nAnswer: -684*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 v when two letters picked without replacement from mhvv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 12:06 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130, -135, -142, -151, -162, -175, -190?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) + sqrt(171)*-1)*4 - sqrt(171)) + (sqrt(171) + -3*sqrt(171)*-2 - sqrt(171) - sqrt(171)))\/(-5*(2*sqrt(81) + sqrt(81))*1).\nAnswer: -4*sqrt(19)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35 (base 15) to base 12.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1, 0.2, 2\/15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -608361, -608363, -608365, -608367?\nAnswer: -608369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 44400.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13415 - 13490.13. Let q = a - -8.43. What is q rounded to zero dps?\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264 divided by 6.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(60) - sqrt(60))*3)\/(sqrt(768) - sqrt(768)*4).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*i - 5*w = 80, -2*w = 4*i + 102. Let l = 16 + -13. Suppose v = l*v. Is v > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((7 - 5)\/(1 + 0))\/8. Determine a so that -1\/4 + x*a + 1\/2*a**2 = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 24937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1421, -9749, -31903, -74795, -145337, -250441, -397019?\n\"Answer: -1152*l**3 - l**2 - 261*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -16?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 75\/14, -89, 12, 0.3, -0.2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8 + (74 - (-15 - -4)). Is 79 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k - 68 = 24*k. What are the prime factors of (1 + (-7)\/((-21)\/(-6)))*k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204 + 382 = 3*o + 4*g, 3*o + 5*g = 584. Suppose 3*l - o = 201. Is 19 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3 * 15.\nAnswer: 19.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wigi when four letters picked without replacement from {x: 3, g: 1, i: 1, k: 2, s: 2, w: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/2144 and 21\/318488.\nAnswer: 85354784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*(c**(5\/3)*c*c)\/c*c*c\/(c\/((c\/((c\/c**(1\/24))\/c))\/c)) assuming c is positive.\nAnswer: c**(137\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55.37 - -0.37. Let k = -56 - q. What is the nearest to k in -2, -22, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14553 and 471723.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 8*q**2 - 2*q - 7. What is the least common multiple of 6 and v(-8)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.31229, 1.02, -4, 2\/19 in decreasing order.\nAnswer: 1.02, 0.31229, 2\/19, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.6 + 0.2.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -12*o**3 + 9*o**2 + 13*o + 13. Let r(b) = -3*b**3 + 2*b**2 + 3*b + 3. Let y = 87 - 78. Calculate y*r(n) - 2*g(n).\nAnswer: -3*n**3 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one eighths of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-230097)\/(-18) - -8 - ((-46)\/12 + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1331 and 1573?\nAnswer: 17303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(162) + 1 + sqrt(162) + sqrt(162) + 0 + sqrt(162) - sqrt(162)) + (sqrt(162) + -1)*6 + -5))**2.\nAnswer: -58320*sqrt(2) + 475992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 339 (b) 0.06 (c) 1\/4 (d) -4\/3 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-5))\/(-4 + 36\/10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264) + sqrt(264) + 3*sqrt(264))\/sqrt(11))\/sqrt(8) + (sqrt(300) + -2)**2 + 3.\nAnswer: -35*sqrt(3) + 307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 149 + -125. Let f = -10 - -13. Which is the biggest value? (a) 0.3 (b) g (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/385 and -18\/90755.\nAnswer: 998305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/16)\/((-4)\/(-16)). Is ((-48042)\/(-15) - l\/(-10))\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (78 - 97) + (-1 - -76) - (-7 + 1).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 212562, 425068, 637574?\n\"Answer: 212506*c + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 64 = 5*g, -w - g = -75 + 89 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5400, 5534, 5668, 5802?\nAnswer: 5936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**5 + 2600*x**4 + 5285*x**3 - 33740*x**2 - 99060*x - 62640 = 0.\nAnswer: -3, -2, -1, 4, 522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q. Let b be (-2)\/(-8) - 19\/(-4). Is 5 a factor of t(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -102 - -26. Let c = p + 97. What is the remainder when (-24)\/18*(-29 - 1) is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2947939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 7, -4, 617?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 250*o**2 - 1697*o + 985. Determine z(-243).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4130\/46256)\/(1\/14)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-4)\/(-8)) + 3. Let d(t) = t**3 - 4*t**2 - 7*t + 7. Let p be d(j). Let r = -23 + 23.08. Which is the second biggest value? (a) p (b) r (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 minus -0.26?\nAnswer: -83.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11323213 - 112?\nAnswer: -11323331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 175203098 and 175203095 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 305 = -5*m, -8076*v + 4*m - 252 = -8080*v for v.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*d**3 - 44*d**2 - d + 556 wrt d?\nAnswer: 66*d - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -161*l**2 + 2609*l**2 - 131*l + 1134*l + 501*l + 1893*l**2 wrt l.\nAnswer: 8682","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18 - (-1 - (2 - 0)). Suppose w = 2*i - 71. Suppose -5*h + i = -124. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*y = 1766, -5*h + y = -y + 2185. Let a be -1 - (-3 - 4\/((-40)\/4382)). Let b = h - a. Which is greater: b or -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -100*o + 108. Let p be h(-3). What is the greatest common divisor of 272 and p?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 18. Solve -y*p + 8*p + 2*c + 16 = 0, -5*c + 10 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1988*c = -1994*c - 24 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*c - 10 = 0, 5*t - 2*c = -c + 8. What is the hundreds digit of -20*(-8 - t\/((-4)\/(-8)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -873135 + 1669235. Round s to the nearest 10000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37 + 40. Is 4\/4 + (-3)\/(y\/(-490)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1383228.\nAnswer: 2, 3, 7, 11, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*h + 66*h + 12 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -286466 by 2.\nAnswer: -143233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 29*s. Let k(w) = -68*w**2 - 177*w. What is k(p(r))?\nAnswer: -57188*r**2 - 5133*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 44995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 92 = 62 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l + 3 - 7*l + l**3 + 0*l. Let p be n(2). Suppose -5*a + 29 = -g, -p*a - 3*g = -3*a + 2. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 63?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -2 - ((-7 - 6) + 16).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 11 = 7. Let v be (-471)\/o + (-4)\/6. Let t = 106 + v. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*z**3 + 29*z**3 - 80*z**3 - 134 + 134.\nAnswer: -13*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -469 by -214405.\nAnswer: 469\/214405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 17988421 times 1.2?\nAnswer: 21586105.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3 = 9. Suppose 0 = n*u - 3*u - 96. Does 8 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -4 (b) 0.41 (c) 0.1 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 57168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 q when two letters picked without replacement from {k: 1, x: 1, q: 1, v: 5, t: 2, e: 5}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -111220 - -131022322?\nAnswer: 130311102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 6*b - 7. Let d be x(5). Let s = -6 + 11. What is the remainder when (-4)\/(d*1) + 7 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-102175)\/67)\/(-61) - 2*(-5246)\/(-420)?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3458 - -1)*(-140)\/(-6). Suppose 3*v - 13*n = -18*n + d, -v + n = -26906. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -141 - -199. Let n = c - 29. Suppose -2*y + 19 = 3. What is the remainder when n is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s - 19. Let v be z(8). Let p = v - -10. Let d(k) = k**2 - k + 1. Let b(u) = u**2 - 7*u + 3. Let o(t) = p*b(t) + 2*d(t). What is o(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 1236*k**3 - 3*k**2 + 3*k - 1. Let x be c(1). Suppose -3*j = 3*b + b - x, 3*b = -2*j + 824. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -81, -68, -73, -108, -185, -316, -513, -788?\n\"Answer: -2*b**3 + 3*b**2 + 18*b - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 105\/22 and -83\/48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*k - 6627 = -775. Let r = -200 - -136. Let l = k + r. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.49*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -197 times 0.3?\nAnswer: -59.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.004 (b) 488 (c) 26 (d) 2 (e) -0.4 (f) 1\/5 (g) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 14 - 8)*(2 + l - 2)*(4 - 4 - 2*l).\nAnswer: -26*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000328585615 rounded to 5 dps?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 45095 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 21*a**2 + 52*a + 4. Calculate r(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 2625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 24 - 12. Suppose -5*f = -n*f - 4. Let w = 2 - f. Solve w*r - 5*r = -3*v - 5, -3*v + 3*r = 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 16907184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 105*b**3 + 20*b**2. Let h(t) = -t**3 + t**2. Give -100*h(o) + 5*v(o).\nAnswer: 625*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 32004*b + 416048. Calculate i(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8738.99876752 + -8739. Round c to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -636656.2 - 9103896\nAnswer: -9740552.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38234?\nAnswer: 2, 7, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**4\/6 + c. Let v(t) be the first derivative of -2*t**2 + 12. Calculate v(g(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00019963 rounded to 6 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w**3 + 11 - 4*w**3 - 2*w**3 + 8*w - 5*w**2. What is the tens digit of d(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from {c: 3, e: 3, w: 3, l: 3}.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1693, 1716, 1751, 1804, 1881?\nAnswer: 1988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3085\/622 smaller than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k. Let n be (-30)\/20*4\/6. Let l be g(n). What is the units digit of (-31 - (-2)\/l)\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5397\/(-6))\/(-7) - (-2)\/(-4). Suppose q + 5*r = 32, -r = 4*q - 0*r - z. Solve -q = -4*t + 5*n, -4*n - 5 - 11 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -549 = 3*g - 4*g - 5*t, -g + 567 = 2*t. Calculate the remainder when g is divided by 150.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 300*g + 2506. Determine y(8).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 55702909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/4 or 0?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41.81 - 42. Let o = l - -0.29. Sort 0, o, -4.\nAnswer: -4, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.17855+-182978104.6\nAnswer: -182978104.42145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**2 - 315*m - 610 = 0. Calculate m.\nAnswer: -61, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(20) - (-1 + sqrt(20) + sqrt(20)) - (sqrt(5) + sqrt(5)*2)*-6).\nAnswer: 2 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-7) + (-204)\/(-21). Let i be b*1 + (-1 - 1). Suppose -k = 5*h - 2*k - i, 12 = -3*h - 5*k. Solve 4*f - h = -t + 2, -3*t - 2*f + 9 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 - ((-78)\/(-24) + -3))*(82 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**7\/21 + 58*h**6\/15 + 35*h**4\/4 - h**2\/2 + 8*h - 1. What is the third derivative of f(x) wrt x?\nAnswer: 120*x**2 + 2784*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d + 2. Let k(q) = -22 + 11 + q + 12. Let a(f) = -2*j(f) + 5*k(f). Let y be 2*(-1 - (0 + -2)). Determine a(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41002197 is divided by 648.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + (((sqrt(833) + -2)*1 - (0 + sqrt(833)*-1 - sqrt(833))) + -1)**2 + 0.\nAnswer: -126*sqrt(17) + 7507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 10, -4\/3, 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -59\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7c4 (base 13) in base 4?\nAnswer: 110333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 231 + -302606?\nAnswer: -302365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 3, -61 in ascending order.\nAnswer: -61, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 243925, 487931, 732107, 976537, 1221305, 1466495?\n\"Answer: 14*n**3 + n**2 + 243905*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-1\/2)*g\/(g**(5\/7)*g*g)*g assuming g is positive.\nAnswer: g**(-3\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1\/7 (b) -1\/97649 (c) 2\/11 (d) 0.3 (e) 14\/11 (f) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 16 + 0)*(-13*n**3 - n**3 - 13*n**3) - 1 + 1 + n**3.\nAnswer: -323*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, 16, -3, 5, -2 in ascending order.\nAnswer: -3, -2, 5, 16, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 43434.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1290\/86*(1*(-2)\/(-10))\/((-89)\/(-89))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100710?\nAnswer: 2, 3, 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267*g**2 + 545*g**2 - 275*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 15*v - 1439. Let x be m(96). Put 9, x, -1, 4 in decreasing order.\nAnswer: 9, 4, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2624591692 + 10.\nAnswer: 9.7375408308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13 + -15 - (-14)\/6. Which is the third biggest value? (a) -3 (b) 8 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z = -9*z + 37*z + 518 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**4 + 1850*o - 1850*o + 2*o**3 + 2*o**5 = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 697, 665, 643, 631?\n\"Answer: 5*t**2 - 47*t + 739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4 + sqrt(95)\/sqrt(5)))**2.\nAnswer: -8*sqrt(19) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 10 = -7*q. What is the derivative of 8*p**q + 6 + 6*p**2 - 2*p**2 wrt p?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - d = 1, k - 4*d + 7 + 7 = 0. Let j = -8 - -15. Let t = -6 + j. Let r(i) = -9*i**2 - 4*i. Let u(c) = c**2 + c. Calculate k*u(f) + t*r(f).\nAnswer: -3*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k**3 - 5*k**3 - k**4 + 2*k**4. Let f(m) = 3*m**2 + 19*m**3 - 17*m**3 - 2*m**2. Let u(o) = 2*f(o) - 3*s(o). Suppose u(a) = 0. What is a?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a meter in centimeters?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5837*a - 64194. Determine l(-11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**14*w\/(w\/w**(-8\/11))*w*w)\/(w\/(w*w**(-25))*w**(18\/5)))**(-1\/2) assuming w is positive.\nAnswer: w**(339\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 546647123 to the nearest integer?\nAnswer: 23380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4677125 divided by 25\nAnswer: -187085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1620117 is divided by 378.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 3*h - 10, -6*p + 8 = -2*p - h. What is the remainder when 1 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/5)\/i)**(1\/21)*i*i**(-3\/4)*i**(-3))**18 assuming i is positive.\nAnswer: i**(-507\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((168\/15)\/7)\/(4\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 9*t + 29 + 8*t to the form a + p*t and give a.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8312520497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.5 - 6. Suppose -5*f = -f. Is o greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -164230295?\nAnswer: 164230290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/7)\/(20\/70). Suppose -y*s = -s + 108. Is 0 - (s + -2) - 3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1500 and 152652.\nAnswer: 19081500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from {k: 6, o: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(800) - (sqrt(800) - (sqrt(800) + ((sqrt(800) - (sqrt(800) + 1 - sqrt(800))) + 1)**2)) - (5 + (sqrt(800) + -1 + sqrt(800))**2)).\nAnswer: -12030 + 500*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 503 = 3*l - 7*l, -5*k = -l + 147. Let p = 331 - l. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*y + 2 + 314*y - 3 + 46*y.\nAnswer: 433*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4050.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -9. Suppose 0 = -3*r - i - 1 + 2, -3*i = 5*r + l. Find the third derivative of 3*b**3 + b**2 + 7*b**2 - 5*b**r wrt b.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4 + 24*g**3 - 39*g**2 + 18*g.\nAnswer: -3*g*(g - 6)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24\/(-2))\/(-4) - (-1 - -2). Suppose -q*s - 5 = -i - s, 5*i - 2*s = 16. Solve 14 = 2*f - 5*t - 0, -i*t - 2 = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 3. Let g(l) = 317*l**2 + 2*l + 6. Give g(q) - 2*w(q).\nAnswer: 317*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 24 + 11 + 36941*c.\nAnswer: 36941*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.09 + -10. Let d = r - 0.19. Let o = 3 - 3.01. Does d = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 + 34*v + 6. Let u be m(17). Let w be -14*(0 + u\/(-105)). What is the nearest to -0.06 in w, -4, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 634 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 49368811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23086*r**3 + 3067*r**2 - 6 wrt r?\nAnswer: -138516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 8, g: 5}. Give prob of sequence lgg.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g**3 + 19*g**2 + 228*g + 11. Let u be j(12). Do -1429 and u have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**7\/1260 + u**6\/240 - u**5\/120 + u**4\/144 + 7*u**2. Factor a(y).\nAnswer: -y*(y - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1110?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-6\/17)*c)\/c**(1\/12))\/(c*c\/((c\/(c**(-2\/35)\/c)*c)\/c)*c*c**(2\/15)\/c))**(-21) assuming c is positive.\nAnswer: c**(-10621\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -35. Let n = u - -22. Solve 2*o = -n*l - 6, -2*o + l = -0*o - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 1783.26183?\nAnswer: 1783.06183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + 187\/33)\/((-5)\/(-2)). Which is the closest to 0? (a) m (b) -7 (c) -2\/11 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -89077 and 31498?\nAnswer: 120575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((u**(2\/17)\/u)\/u)\/u)\/u)\/(u**0\/u))\/(((u*u**(-2)*u)\/u*u)\/((u**(2\/3)\/u)\/u)))\/((u**1\/u*u)**(-2\/93)\/(u\/(u**(-2)*u)*u**(-3))) assuming u is positive.\nAnswer: u**(-8212\/1581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/17)*t*t\/(((t\/(t\/(t*t\/(t\/((t*t\/t**(-1\/2))\/t*t))*t*t)*t))\/t)\/t)*(t**(-1\/6)*t)\/t**(-1\/4))**(-30) assuming t is positive.\nAnswer: t**(-475\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or -18\/12319?\nAnswer: -18\/12319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 4*u + 3*j - 26, 2*j = 2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 3203 = -3171. Solve -15 = m*d + 13 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 15\/6)\/(95\/57). Let v = 0.25 + -0.15. Let h = 0.2 + v. Which is the nearest to -0.2? (a) 3 (b) j (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -943*x + 92. Let r(w) = 51*w - 5. Give -5*c(b) - 92*r(b).\nAnswer: 23*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 1. Let s(y) = -y**3 - 7*y**2 + 7*y + 13. Let c = -11 - -15. Let z(q) = c*l(q) - s(q). What is z(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + ((-183)\/(-5))\/(4\/(-20)). Let y = t - -183. Solve -5*m + y*m = 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b. Let y(l) = l**2 + 7*l - 6. Let u be y(-7). Let r be (-34)\/u + (-6)\/9. Let g(d) = 0*d - 4*d + r*d. Determine g(s(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51153.18ml to litres.\nAnswer: 51.15318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 144*u - 33. Let i(t) = 9*t - 2. Let y(x) = 2*x**3 + 26*x**2 - 2*x + 7. Let p be y(-13). Let o(k) = p*i(k) - 2*a(k). Let w = 11 + -10. What is o(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 388*x - 3318 = 546*x for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 360 and 8390?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00635871 rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*o - 6*o**3 + o**3 - 26*o + 229*o.\nAnswer: -5*o**3 + 114*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1731273 + -872273. What is s rounded to the nearest ten thousand?\nAnswer: 860000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 996*k*w**5 - 37*k*w**2*z + 2*k*w**2 - 7*k*w + 4*w**5*z wrt w.\nAnswer: 59760*k*w**2 + 240*w**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.102 - 2.898. What is the second smallest value in b, 2\/5, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 105 - -55. Suppose 0 = 9*t + 11*t - w. What is the least common multiple of 26 and t?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of d**7\/7 - d**6\/120 - d**5\/2 + d**4\/24 + 38*d**2 - 17*d. Factor z(q).\nAnswer: q*(q - 1)*(q + 1)*(30*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3963.1129909 - 3964.273. Let u = o - -1.16. Round u to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 383663.\nAnswer: 7, 23, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3143.396s?\nAnswer: 3143396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 543*r + 44256 + 62436 = 2635*r for r.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -112 - -278. Let l = t + -100. Let f = -71 + l. Which is the fourth smallest value? (a) 6 (b) -0.3 (c) 2\/11 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**3)\/(z\/(z*z**(3\/4)))*(z\/z**1)**49 assuming z is positive.\nAnswer: z**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253909.\nAnswer: 253909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4 - 6*s - 1 + 0 - s**2. Let v be w(-6). Find the third derivative of -2*n**2 - v*n**6 + 0*n**2 + n**6 wrt n.\nAnswer: -240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2723 (base 9) in base 4?\nAnswer: 133332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 65, 69, 75, 83, 93?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3113 - 32?\nAnswer: 3021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(1000) - (sqrt(1000)*-1 + sqrt(1000))))\/(-6*sqrt(800)*-1))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - 4. Let h = 15 - u. Solve -5*x + 10 = -2*d, 3*d - 3*x - h = -7*x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jddd when four letters picked without replacement from {d: 4, j: 6}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-2))\/(((-8385)\/172)\/65)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 47 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 11:12 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(4 - 8 - (1 + -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6}. What is prob of picking 2 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**2)**(-1\/14)\/((y\/(y**(-1)\/y))\/y)**13)**(-38\/5))**36 assuming y is positive.\nAnswer: y**(250344\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42\/19 < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-567)\/(-108)*(-3)\/(9\/(-32)) is divided by 51.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 805357.7 meters to micrometers.\nAnswer: 805357700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 11:42 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 14*a + 431. List the prime factors of r(31).\nAnswer: 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + 3. Let i = -4 + h. What are the prime factors of 20\/(-30) + 70\/i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-28))\/((d*d**35)\/d*d)*(d*d\/(d**0*d*d)*d*d*d)**(-4\/15) assuming d is positive.\nAnswer: d**(-319\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -425 + 833 + 805*s - 408 - 805*s + 6*s**2.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -55806 divided by -213\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 8*l - 5. Let c be d(2). What is the highest common divisor of c and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + 3 + (sqrt(3) + 2 + -3 - sqrt(1176)\/sqrt(8))).\nAnswer: -30*sqrt(3) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4367 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 5:23 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*x + 1 = -0*r, -5 = -5*x. Suppose -390 = -r*i + 1730. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/12*(-12)\/(-16). What is the nearest to 5 in -4\/5, r, -201, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - 27*u**2 - 27*u + 14. What is the remainder when i(-26) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2017784.\nAnswer: 2, 252223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -329 divided by -4.\nAnswer: 329\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11198 - -11545. Solve c*g = 352*g + 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x - x + x + 3 - 3 - 2*x - 1 + 1 - 2*x + (0 - 2*x + 0)*(-1 + 3 - 1) - 2*x - 5 + 5 - 6*x + 2*x - x in the form f + w*x and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1167991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*r + 3*t - 26, 0 = -r + 2*t + 32. Solve y - r = 5*a, 6 + 0 = 2*y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15468 is divided by 130?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -15. Suppose x = -4*v + 23 - r, 0 = -4*v - 5*x. Solve -m = -0*m - v, 4*l - 15 = m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25571173627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -4, -1, 5 in decreasing order.\nAnswer: 5, -1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 minus -3.987253065?\nAnswer: 3.187253065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 11384*l - 11395. What is b(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**4*v + 5*m**4 - 96*m**3*v + 5*m**2*v - 375*m**2 wrt m?\nAnswer: 48*m*v + 120*m - 576*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 49 (b) -13 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11dc28 (base 15) in base 10?\nAnswer: -856613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/8 (b) 8275 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17013*q + 17013*q + 146*q**3 + 115*q**3.\nAnswer: 261*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5999?\nAnswer: 7, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**16*p*p*p)\/p)**(12\/13) assuming p is positive.\nAnswer: p**(216\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4466 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 33*g**2 - 60*g - 900.\nAnswer: 3*(g - 5)*(g + 6)*(g + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164\/7 not equal to 165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4519 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*x - 107*x + 8*x**3 + 43*x + (0*x + 6*x + 3*x)*((-6*x - x + 3*x)*(x - 2*x + 3*x) - 2*x**2 + 0*x**2 + x**2 - 2*x**2 - 3 + 3 - 3 + 3 - x**2).\nAnswer: -100*x**3 - 54*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213375 is divided by 1166.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0226, 0, 384, -1\/4 in descending order.\nAnswer: 384, 0, -0.0226, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-44))\/(((-140)\/4620)\/((-1)\/(-3)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 5807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73 - 71. Suppose -3*c**5 - 394*c + 6*c**t + 20*c**3 - 24 + 358*c + c**3 = 0. Calculate c.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 - 6*r + 7. Suppose -5*i + 3*i = 10, -3*a = i - 28. What is the remainder when a is divided by l(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 273 and 1087\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*o = 51 + 13, -4*o + 92 = 3*j. What is the greatest common factor of j and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2976549976 to the power of 1\/3, to the nearest integer?\nAnswer: 1438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 1. Let z = 15\/28 + -1069\/2100. Which is smaller: l or z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 47*k**3 + 10*k + 4*k + 48*k**3 to m*k + y*k**3 + l*k**2 + c and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2053 at least -2056?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of w**4\/12 - 178*w**2. Let k(p) = -2*p + 164. What is z(k(v))?\nAnswer: -4*v + 328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7*s**2 + s. Let f be a(1). Suppose -f*z = -68 - 44. Solve -z*p**4 + p**3 + 15*p**3 + 18*p**4 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 79, 64, 29, -32?\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(15\/220))\/(47 + -57).\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 893*z**2 - 5*z + 3. Let l be m(1). What is the highest common divisor of l and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*s + 5*s - 6 = -4*u, 18 = s + 4*u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**5 + 0*i**5 + 5*i**5)*(4 + 1 - 4) - i**5 - 4*i + 4*i - 3*i**5 - 6*i + 6*i + i**5 + 2*i - 2*i + (2*i**3 + 3*i**3 - 6*i**3)*(-3 + 3 + 2*i**2).\nAnswer: -3*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -16208, -2\/9, 0.025, -1 in increasing order.\nAnswer: -16208, -1, -1\/3, -2\/9, 0.025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x + 69 - 35 + 4*x. Calculate p(0).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -66.4 + 0.4. Let v = d + 25. Let u = 40.9987 + v. What is u rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 18, 5, 4?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1464.4 - -1440.36. Is g bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -116925219*t - 176288706 with respect to t.\nAnswer: -116925219","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 2*w + w + (2*w + 3 - 3)*(-1 - 3 + 6))*(3 + 1 + 4).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 12*r = 1624. Let p = 119 - r. Which is the biggest value? (a) -0.6 (b) p (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19d + -4?\nAnswer: -1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 1. Suppose -p - 4 = 0, o + 2*o = 2*p + 17. Let s(k) = -62*k**o + 2*k**2 + 29*k**3 + 34*k**3. Calculate s(u) + 2*z(u).\nAnswer: u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 3574226.\nAnswer: -3574229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 11*n**3 - 12051*n + 1 + 12045*n to the form p*n + x*n**2 + b*n**3 + l and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-1 + (2 - (11 + -6))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.42 and -13.42.\nAnswer: 126.4164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 2. Let x(u) = -u**3 + 7*u**2 + 3*u - 16. Let v be x(7). Let d be h(v). Let b(r) = -2*r**2 - 2*r + 3. Give b(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1732 - 1737. Sort 15, -6, p, 3 in descending order.\nAnswer: 15, 3, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 5*z + 9 = 0, -g + 1394*z - 11 = 1399*z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 6 = -2*y, -4*y = -6*z + 2*z + 16 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 205183 and 235543?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 9*k - 9. Let w(q) = q**3 - 3*q**2 - 2*q + 3. Let p be w(3). Let g be 7\/p*12\/(-4). What is the units digit of u(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457893223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -6659.622266 to one dp.\nAnswer: -6659.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2342\/(-14052))\/((-6)\/8 + 2)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c. Suppose x + 0 = -3. Let b(l) = 5*l - 3. Let i(u) = -26*u + 16. Let y(q) = x*i(q) - 16*b(q). Determine t(y(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -940853 minus -0.2?\nAnswer: -940852.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 4*s**2 - 504*s - 3344. What is f(24)?\nAnswer: 688","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-5))**4\/((p\/((p*p**4\/p*p)\/p))\/p)**(20\/7) assuming p is positive.\nAnswer: p**(248\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a microgram in nanograms?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -6*r - 29. Let u(k) = 2*k + 10. Let v(t) = -17*u(t) - 6*x(t). Let j be v(8). Let g = j + -6. What is the greatest common divisor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12790000 rounded to the nearest 100000?\nAnswer: -12800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*u - 14 - 25, 22 = 2*u - 2*i. Let a be (-16)\/24 + u\/3. Find the third derivative of -w**4 - a*w + 5*w**2 - 3*w**2 + 4*w wrt w.\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144911852 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4764*l + 3924. Calculate the remainder when s(-2) is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 2:26 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6588*r**2 - 14278*r**2 + 5297*r**2 + 7413*r**2 + 1.\nAnswer: 5020*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.5 (b) -3\/2 (c) 2.3 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3*0.39\nAnswer: -1.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**4\/5 + 195177*h**3\/5 + 195162*h**2\/5 - 780708*h\/5 - 780696\/5 = 0 for h.\nAnswer: -65058, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3 = 3*h - 12, -4*t + 5*h = 37. Let n be (-5)\/((-130)\/12) + t. Let y = n + 441\/143. What is the biggest value in y, 2\/13, -1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4248)\/(-25488) + 16\/(-78).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -q - 3*f - 22, 0 = -5*q - 4*f - 77. Let y be (2 - (-28)\/q) + 41\/13. Solve 5*o + y*p = -17, -o + 4*p = -3*o - 18 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1824 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -73, -77, -81?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 96\/(1 - -2) + -2. Let j be (-1)\/3 + b\/9. Suppose 3*z - 5 = -x - z, 2*x + 10 = 2*z. Put -1, x, j in decreasing order.\nAnswer: j, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x\/((x\/x**(5\/2))\/x)*x)*x**(3\/2)*x**3*x**(-6\/11) assuming x is positive.\nAnswer: x**(-6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/7 + 119190*a\/7 - 5486972\/7.\nAnswer: 2*(a - 46)*(a + 59641)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**(1\/4)\/o))\/o)\/o*o)\/o**2*(o\/o**(-2))\/o**(-1\/3)*(((o**4*o)\/o)\/o*o)\/o**3*o**(-3\/5)\/o**(-6) assuming o is positive.\nAnswer: o**(509\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 32 = w, -26*q + 27*q - 5*w + 40 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 1 + -2 - -2. Suppose g = -2*q + 8 - 2. Let i = -16 + 22. Solve o - i = q*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 20. Let f(v) = 41. Let q(d) = -f(d) + 2*z(d). Let p(j) = -2*j**3 - 6*j**2 + 10. What is -p(o) - 10*q(o)?\nAnswer: 2*o**3 + 6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 5*u - 2*h + 91 = 0, 0 = h + 2. Let c = u - 3. Suppose c = -14*a - 40. Let z(b) = -5*b - 2. Give z(a).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50\/6 + 50\/(-30) - 7\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 14223 (base 5) to base 9\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 98*b**2*i**3 + b**2*i**2 - 2118*b**2 wrt i?\nAnswer: 294*b**2*i**2 + 2*b**2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10864 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 29496 - 3128 = 0. What are the prime factors of n?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.66974753 rounded to 1 decimal place?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 278318 divided by -2\nAnswer: -139159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 20349000 to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 413 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 12 = -3*q. Let w(b) be the first derivative of 1\/2*b**2 + 1 + 0*b. Let d(l) = 6*l. Calculate q*d(n) - 22*w(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 11 + 10*m + (2*m - 1 + 1)*(1 - 3 + 3) + 3*m + 0*m + 0*m to s*m + k and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 PM and 10:54 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3858*t**3 + 207*t + 3863*t**3 - 7718*t**3 to d*t**3 + q + v*t + w*t**2 and give v.\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 462 and 90.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 4*f = 4*f - 3*u + 98 - 22, -30*f - 5*u - 680 = 0 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69 + 207. Find the common denominator of b\/88 - (2 + 0) and 27\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 8. Let x(v) = -3. Let f(o) = -4*u(o) - 11*x(o). Does 6 divide f(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-417 - 3 - 643)*(-3*q**2 + 4*q**2 + 0*q**2) to z + k*q**2 + d*q and give k.\nAnswer: -1063","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 13 + 22. Let l(b) = -4*b**3 - 6*b**2 - 5*b + 6. Is l(r) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 2919.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -62, 1\/2, 2\/3, 0.28 in descending order.\nAnswer: 2\/3, 1\/2, 0.28, -2\/3, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/3 in -2\/11, 6512\/7, -4, 6, -2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjzjszjjzzjoo. Give prob of sequence js.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 4 + (5 - (4 + -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2\/5 - 31268*i\/5 - 62532\/5 = 0 for i.\nAnswer: -31266, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/898 and -83\/14?\nAnswer: 6286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = x + 2*p + 3, 5*p = x - 21. What is the third biggest value in 14, x, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488568 divided by 162856?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 14*f - 32. Let l(c) be the first derivative of 0*c**2 + 2\/5*c**5 + 0*c - f - 1\/3*c**3 + 0*c**4. What is the third derivative of l(h) wrt h?\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, -5, -123, -287, -497?\nAnswer: -753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 457 - -138. What is the units digit of q*1\/4 - 12\/16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 6 = -d, -7*d + 2*d - 9 = m. Which is greater: m or -1\/330?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 864?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0 + 8 = 0. Let r(u) = u - 5. Calculate r(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 14639302 and -0.7172.\nAnswer: 14639301.2828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 8. Solve -2*w + 0*w + u = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 637*j**2 + 733*j**2 + 419*j**2 - 2237*j**2. Let w(l) = -4*l**2. Calculate w(i(c)).\nAnswer: -802816*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*x**2 + 0 - 6\/7*x**3 + 0*x + 3\/7*x**5 + 3\/7*x**4 = 0. What is x?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/5, -15875, 0, -0.5, -4.\nAnswer: -15875, -4, -0.5, -2\/5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-4)*(-15232)\/2688.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -7*a - 38. Let v(p) = -13*p - 69. Calculate 7*t(m) - 4*v(m).\nAnswer: 3*m + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1838 - -1.7342. Let n = 1.83 - u. Round n to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*h = 12, -h - 3 = 2*h. Let p(n) be the first derivative of 3*n**2\/2 + 2*n - 52279. Let b(q) = -10*q - 5. Calculate v*b(k) - 14*p(k).\nAnswer: -2*k - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-3))\/(2\/3). Let f = 44 - 42. Factor 1 + 5 + f*l + l**2 - n - 4.\nAnswer: (l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 409 + -407. Let j be 1\/(15\/9 - 2). Sort 5, p, j in descending order.\nAnswer: 5, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2.5 (b) -3 (c) -0.1 (d) 29 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 37*h**2 - 269*h - 65. What is k(-27)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -7279999*b**3 - 2*b**2 + 3*b - 2. Let c be f(1). Round c to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/8*4*(-5)\/1. Let l(r) = 2*r**2 + 9*r - 8. What are the prime factors of l(u)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 3. Suppose 3*r = h*r. Suppose 4*d - 12 = -r*d. Solve 6*y = 4*v + d*y + 23, 2*y = -4*v + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wqxpxqh. What is prob of picking 2 q and 1 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(7) - (3*sqrt(7))**2))*-2*6 + (2*sqrt(49)*-4)\/(sqrt(28)*3).\nAnswer: -40*sqrt(7)\/3 + 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-2 + (-6 - -3) - -5 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*q + 117 - 3 = 0. Let o(h) = h**2 - 4*h + 3. What is o(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**4\/7 + 24*n**3 + 4128*n**2\/7 + 24928*n\/7 + 34656\/7 = 0. Calculate n.\nAnswer: -38, -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1*-0.81\nAnswer: -0.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001010647032 to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 6*v**2 - 5*v - 9. Let i be a(7). Let t be 13\/i + 39\/(-65). Solve t*l = -0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 225 and 32229?\nAnswer: 805725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -7*j + 3*j - 4*g, -g + 10 = 2*j. Let l be j - -1*33\/(-9). Which is the smallest value? (a) -1\/12 (b) 3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 + 0)*(42*b**3 - 290*b**2 + 290*b**2).\nAnswer: 168*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, e: 10, d: 2}. Give prob of sequence uu.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001082178 rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, s: 10, r: 3, l: 2}. What is prob of sequence yy?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -4*c + 3*r, 3*r + 9 = -3*c - 3. Let a(v) = -25*v + 18. Let s(x) = -x**3 + 3*x**2 + 4*x - 11. Let k be s(3). Let n be a(k). Is n <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**3*t*t)*t)\/t**(-2\/13)*(t*t**(-1\/3)\/t*t*t)**40)\/((t\/t**(-1))**(-38)*t**(-7)*t*t*t**(-1\/3)*t) assuming t is positive.\nAnswer: t**(1874\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001 + -1011?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 4*k - 35 = -3, v + 4*k + 16 = 0. Let q be (5 - -1)*10\/4. Suppose 0*g - q = 5*g. Sort -1, v, g in decreasing order.\nAnswer: -1, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1030068197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cylppuuuuuluplucuc. Give prob of sequence ply.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.053908852 rounded to 3 decimal places?\nAnswer: -7.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-102)\/(-18) + -5)*3081\/(-1185)*10\/3?\nAnswer: -52\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/57, 0.5, 1, 0.4 in decreasing order.\nAnswer: 1, 0.5, 0.4, 1\/57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 - 14 = -4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a + 0*a + 2*a)*(0 - 4 + 0) to the form c + p*a and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64469 is divided by 12891.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 50146 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/3*f**3 + 2*f**2 + 2 - 16\/3*f = 0 for f.\nAnswer: -3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 898698, 898676, 898654, 898632, 898610?\n\"Answer: -22*q + 898720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4197, 4311, 4425, 4539, 4653?\n\"Answer: 114*t + 4083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4\/1*(-24)\/(-528)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4186726993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 8765240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -6*v - 106. Let z be c(-8). What is the smallest common multiple of 10\/75*3 + z\/(-5) and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - (41 - -2) - -19?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 - 5*w + 1. Let a be d(-3). Let k be 13 + 2 + (-4)\/1. Let r = k - a. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 96\/7? (a) 1\/2 (b) -3 (c) -1322 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00029380193 to five decimal places.\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from bbbbbbbbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 5. Let i be y*(-184)\/60*3\/1. Let h = -39 + i. Let d(j) = -j**3 + 6*j**2 + 9*j - 10. Determine d(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4124.289 rounded to the nearest 10?\nAnswer: 4120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000 + 100?\nAnswer: 100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6756 - 998. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**2 + 12*j**2 + 19*j**2)*(j - 273 + 273 - 35*j**2).\nAnswer: -945*j**4 + 27*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + s**3 - 1 + s**2 - 2*s**3 + (11 - 19 + 0)*(15*s**3 + 18*s**3 - 6*s**3) as g*s**3 + x*s**2 + k + q*s and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 1. Let p(o) = o**2 + 8*o - 4. Calculate 6*a(n) + p(n).\nAnswer: n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 6*x**2 - x + 6. Let w be f(-6). Is (w\/14)\/(5\/455) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 1\/5 (c) -59 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3009, -7, -3, 1, 8, -1 in descending order.\nAnswer: 3009, 8, 1, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-263 - -224) + 13 + 1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a04 - 5?\nAnswer: 9cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 - -106. Let h = i - 59.8. Let a = h - 0.200016. What is a rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.09 + 3.09. Which is the biggest value? (a) -0.3 (b) -7 (c) 3\/2 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (17\/(-3))\/(-2 + (-5)\/(-3))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 5*q + 7. Let t(a) = -2*a + 8. Let w be t(7). Let c be x(w). Let j be (-6)\/(c\/(-10) - -1). Calculate the highest common factor of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 + -10. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.11 + -10.11. Let f = -9.5 - o. Let z = -0.1 - f. What is the third biggest value in -0.1, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 148754712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.38 - 3.276. Let n = -0.0084 + w. Round n to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(18))**2 + (sqrt(2) - (-2 + sqrt(2)*1))**2 - ((sqrt(100)\/sqrt(5))\/sqrt(10) - (sqrt(2) + (sqrt(64)\/sqrt(4))\/sqrt(8)))) + 0.\nAnswer: sqrt(2) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184029744 is divided by 139.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 442877.\nAnswer: 227, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a + 5. Let y(o) = -o**3 - 5*o**2 + 7*o. Let j be y(-6). Determine z(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -39*r - 141. Let j(p) = 10*p + 35. Let u(s) = 15*j(s) + 4*z(s). Let x be u(-14). Find the common denominator of -32 and x\/54*-1*(-381)\/15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 4*v, -431*b - v - 4 = -436*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/12? (a) 1 (b) 122985 (c) -7 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52807*y + 52777*y - 49 = 1421 for y.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66349.4895s in weeks?\nAnswer: 0.10970484375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 364301356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and -8279435510032.\nAnswer: -8279435510036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4848?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12410)\/8760*16\/(-34)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 - 3 - 1166\/(-11) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -483, -984, -1513, -2076, -2679?\nAnswer: -3328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g - 1. What is p(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51271 (base 8) to base 16.\nAnswer: 52b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1 + (6 + -4 - -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {d: 2, s: 1, c: 13, f: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 1.39?\nAnswer: -1.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 80, 99, 134, 191, 276, 395, 554?\nAnswer: 759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -251?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.043, -0.02, 48866, 0.2, 3\/7, -0.1, 4?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*f = 73*f - 17166. List the prime factors of f.\nAnswer: 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -794? (a) 15 (b) -0.07 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 8:09 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -181*y**9\/504 - 19*y**7\/210 - 933*y**5\/20 - 9827*y**2. Find the third derivative of m(q) wrt q.\nAnswer: -21720*q**3 - 456*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8\/3, -3.98, -2\/7, -3?\nAnswer: -3.98","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*g + 3311, -2*t - t - 3*g + 4965 = 0. Let 97 + 5*p**2 - t*p + 1549*p + 3 = 0. Calculate p.\nAnswer: 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a5 - 9?\nAnswer: 9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 3, -2 in descending order.\nAnswer: 3, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*t + 5*a = 29*t - 29, -2*a = 4*t - 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (44\/(-88))\/((-3)\/(2 - -316)). Solve -8*o - l = -85 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6807412264?\nAnswer: 2, 19, 31, 1444697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2. Suppose -73*x + 10 = -63*x. Let o(m) = -m**2 + m - 1. Let l(y) = -4*y**2 - 2*y + 2. Let w(a) = l(a) + o(a). What is x*w(q) + 3*n(q)?\nAnswer: -2*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*q + (-4 + 4 + 2*q)*(-4 + 2 + 4))*(37 - 85 - 39).\nAnswer: -174*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-10)*245\/(-98)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 9*s**2 + 3*s**2 - 2 - s**2.\nAnswer: -7*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 358198?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6 + 2454\/12)\/((-2)\/(-4)) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4*(sqrt(162) - (-1 + sqrt(162))))**2 - 3*(-1 + sqrt(800)).\nAnswer: -60*sqrt(2) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = c, 5*g + c = -0*g + 11. Let t(j) = 2*j - 7. Let i be t(6). Suppose 0 = g*o - 2*o - i. Solve 15 = -3*n, 2*n - 10 = -o*k + 3*n for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*l**3*x**3 + l**3*x - 93*l**3 - 2*l - x**3 - 136 wrt l.\nAnswer: -168*l*x**3 + 6*l*x - 558*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 387 - 392.86. Let x = k - -2.08. Let p = x - -3. What is p rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*r = 376*r - 410*r + 24409 for r.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 176413714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 113145229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 448, 4184, 14504, 34702, 68072, 117908, 187504, 280154?\n\"Answer: 549*g**3 - 2*g**2 - 101*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153 and 27464452?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.2546547g?\nAnswer: 0.0002546547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -160 - 10487?\nAnswer: -10657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -215013 + -13?\nAnswer: -215030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 122371037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 10}. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 3:13 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 3, -5, 0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12.998 * 0.5.\nAnswer: -6.499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**4 - 2*w**4 + 5*w**4 + (4*w + 0 + 0)*(w**3 + w**3 + 0*w**3).\nAnswer: 11*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*w = -211 - 1466. What is the remainder when 94 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2. Let k(c) = -10680252*c**2. What is k(h(v))?\nAnswer: -42721008*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k + 21. Let u(y) = -y**3 - 12*y**2 + 15*y + 16. Let f be u(-13). Let q be m(f). Let h = -4 + 5. What is the closest to h in -1\/9, 3, q?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 5*v + 2. Suppose 3*b - 5*l - 81 = 0, -3*l - 310 + 255 = -2*b. Calculate the smallest common multiple of d(-5) and b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, w: 5, s: 2, n: 1, e: 1, j: 3}. Give prob of picking 1 s and 2 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-4))\/(8\/8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 167201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 t when two letters picked without replacement from rrntrrrrtttrtttrt?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1126.01 and -0.2?\nAnswer: 1126.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 1, -151, 126 in ascending order.\nAnswer: -151, -20, 1, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/109, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25 - 0. Let t(c) = -c**3 - 6*c**2 - 5*c + 6. Let v be t(-5). Suppose 0 = -p + v*p - z. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66\/19 + 632\/171. Let z = -4 - 0. Which is the closest to s? (a) -0.4 (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + 0 + (-46 - -39).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1150)\/(-92)*28\/175?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -14 times -24214037\nAnswer: 338996518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/o**1))\/o)**22\/(o*o\/((o**(-6)\/o*o)\/o))**(-12))**(4\/17) assuming o is positive.\nAnswer: o**(432\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/1079653 and 46\/85.\nAnswer: 5398265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13784.245 rounded to the nearest one hundred?\nAnswer: 13800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, a: 1, b: 1, k: 1, j: 6, e: 1}. Give prob of picking 1 j and 1 q.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 + 0*g**2 + 2*g**2 + 2*g + 0*g + 0*g + g**2 + (2*g - 3*g + 3*g)*(-3*g + 4*g + g).\nAnswer: 8*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -449 at least -59659?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.7 + 7. Let l = 1.62 - 2.12. What is the nearest to 2\/9 in -6, l, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -720.5 + 720. What is the nearest to 0.09 in -4, k, -2, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 8*s + 5*c = -9, -s = 2*c + 6 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2790.78 - 2817. Let i = m + 26. Let q = 0.27 + i. What is q rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3995855 is divided by 35358.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 30 and 25.\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19376 + -19374. Which is the fifth smallest value? (a) 234 (b) 0 (c) 4 (d) k (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 0 - (-12 + 7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, 0, 3 in decreasing order.\nAnswer: 5, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 136 = -r, 3*r = 4*d - 3 - 187. Let s = -39 + d. Solve -3*n - 4*o + 10 = -s, 0 = 2*n + o - 8 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p - 2*p + p)*(-4*p - 8 + 8)*(3182 - 57*p - 3182) to a*p**3 + c + m*p**2 + y*p and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 2*c - 6*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1\/g)**(1\/5) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 81 - 153 = 0. Let m = 81 - a. What is the units digit of 4\/(-18) + (-656)\/m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.369 in 41, -2\/5, 44?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 3 + 1)*(2*z - z + 13*z) as g + c*z and give c.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 k when two letters picked without replacement from {a: 9, o: 2, i: 3, k: 3}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*u = 702 - 2264 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + 6*j - 6. Let u be r(-6). Let s(t) = -10*t - 1. Is s(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 13. Let p = -0.07 - -0.07. Let r = 4 + p. Which is the biggest value? (a) r (b) d (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + u + 32 = 2*w, 2*w + u - 24 = 0. Let q = -10 + w. Solve 0 = 2*l + 2*l + q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 12:46 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11782, -46989, -105526, -187279, -292134, -419977, -570694?\nAnswer: -744171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-75)\/15*4\/10)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*w + w**3 - 2475 + 20*w - 2*w**3 + w - 11*w as l + f*w**2 + o*w + a*w**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.48 - -2.97. Let q = h - -0.51. What is the third smallest value in q, -1\/5, -5, -5\/6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 0 + (19 - 3952\/209)*88.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35912000*d**2 + 36367600*d + 9207245.\nAnswer: 5*(2680*d + 1357)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (12 - (3 - -5))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 2:19 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*f**3 + 2584*f**2 + 1868*f - 744.\nAnswer: -4*(f - 93)*(f + 1)*(7*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -1\/5, 0, 3.\nAnswer: -4\/5, -1\/5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3864\/137 + -2722697\/96996. What is the common denominator of 131\/24 and s?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 948234?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = g - n - 17, g = 2*n + 19. Calculate the highest common divisor of g and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 - 5*k. Let r(p) = 3*p**2 - 7*p. Let t(l) = 5*r(l) - 7*x(l). Let w(d) = -1 - 2 + 9 - 6 - 32*d**2. Give w(t(v)).\nAnswer: -32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -16\/34462341 and 40\/11487447?\nAnswer: 34462341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -180 - -183. Solve f = -a*p - 11, -3*p - 6 = -5*p + 2*f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21 and 469.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 o when three letters picked without replacement from {m: 1, o: 1, g: 3, y: 4, d: 7}.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83*j**2 + 26*j**2 - 6 + 27*j**2 to i*j**2 + g + x*j and give i.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98657 and 949.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**3\/12 + 9*g**2 + 324*g + 23. Factor h(i).\nAnswer: (i + 36)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 14*l + 1. Let t be i(-13). Solve t = 2*o + 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24159.2 + 15?\nAnswer: 24174.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 11*z**4\/12 - 3*z**2. Suppose w - 3 = -29*m + 28*m, -4 = -w - 2*m. Calculate the lowest common multiple of y(1) and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 184181324?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -79 - (31 - 83) - (1 - -11)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 13, i: 1, u: 3}. What is prob of sequence ueu?\nAnswer: 13\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/9 + (-12)\/135. Sort d, 0.3, 4 in descending order.\nAnswer: 4, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4024999?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -266359 + 266359 + 186*o**2 - o in the form v*o**2 + m*o + u and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of g**5\/60 - g**4\/108 + 8*g**2 + 1. Let c(k) be the second derivative of s(k). Factor c(o).\nAnswer: o*(9*o - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4856 is divided by 4028?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -0.5 (c) -4\/15 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 551 - 100 = 0. What is the greatest common divisor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 10:28 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73947*t**4 - 81*t**3 - 35*t**2 + 27417*t wrt t.\nAnswer: -1774728*t - 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 32*d + 53. What is p(-28)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rsrsm. What is prob of picking 2 s and 1 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -925 + 275 = 5*h. Let o = 126 + h. Let q(g) = -3*g**3 - 2*g**2 - 2*g + 2. Let m(l) = -3*l**3 - 3*l**2 - 3*l + 3. Determine o*m(y) + 6*q(y).\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 20.82. Let k = z - 0.02. Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 71, 97, 145, 221, 331, 481?\n\"Answer: z**3 + 5*z**2 + 4*z + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3*51\/34*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**6\/120 - b**5\/10 - 7*b**4\/24 + b**3\/2 - 34*b**2. Let x be n(7). Solve -2*v + 2*m - 2 = 0, 0 = 5*v + x*m - 0*m + 37 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2076 and 576.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*w - 5*w**2 - w + 10*w**2 wrt w.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3\/5, -4, -0.1, -1197, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 418 + 1723?\nAnswer: 2242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (68 + 2)\/((-8)\/(-20)). Let g = p + -34. Suppose -4*d + 547 + g = 0. Does 21 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + 5)*4*9\/24. Suppose -7*s + 122 = -2*s - p*w, -4*s + w + 99 = 0. Calculate the remainder when 98 is divided by s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291*h - 33*h**2 + 293*h - 271*h**2 - 15 + 15.\nAnswer: -304*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0.3 (c) 0.44 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, t: 2}. Give prob of picking 2 y and 1 t.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 22 = -a. Let k = a - 4. Let i be 10\/(-1)*(-7)\/14. What is the smallest value in -0.3, k, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 39.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16 + 1*(-1 + 0). Let q = t + -9. Suppose 2*n + 42 = 5*o, -q = 4*o + 2*n - 36. What is the remainder when 14 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 455 and 210.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-20) + 27\/(-4). Let r = z - -10. Solve 0 = -r*u - 5 - 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7732 + 7411.9. What is n rounded to the nearest 10?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1935 is divided by 918.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, j: 7, f: 2}. Give prob of picking 3 o and 1 f.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/221 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11959850.\nAnswer: 2, 5, 7, 34171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 11*g = 7, -2676*s - 3*g - 1 = -2677*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11097 and 648?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 57 = 4*d. Let o = d + 21. Is (-4)\/o + 830\/10 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + (-9)\/(3\/1). Suppose k = n + 7, -5*k + 2*n + p*n + 44 = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.216 - -1.2. Let i = k + -0.884. Do i and -0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21511555 (base 7) to base 13.\nAnswer: -4cab51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2\/9*k**2 + 20\/9 + 2\/3*k = 0?\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -9*g**2 - 39. Suppose 2*s + 10 = -3*r, 2*r = -2*r + 2*s - 32. Let j(m) = -5*m**2 - 18. Let a(k) = r*f(k) + 13*j(k). Let x(n) = 4*n. What is x(a(p))?\nAnswer: -44*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 c when four letters picked without replacement from fxxfxcccccxfcccfcccc.\nAnswer: 132\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in millimeters?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108018 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 12:19 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2848 = -3*d - 5*d. What are the prime factors of d?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92687*a**2 + 185394*a**2 - 92693*a**2.\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/2 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 198 + -105. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -1) + 0 + -1. Let p = -28 + 33. Suppose -2*j = 3*y + 19, y - p*j = -4*y - 15. Sort y, f, 5 in descending order.\nAnswer: 5, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**3 - v + 3*v**3 + 2*v - 3*v to the form h + w*v**3 + s*v**2 + u*v and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 120 - 119.852. Let m = -0.048 + b. Let k = -12 - -17. What is the smallest value in k, m, 0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -23777\/7504 and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3372 and 125.5.\nAnswer: 3497.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 59? (a) 2 (b) 3 (c) -22 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h - 648. Let u(w) = -w + 647. Determine 2*d(z) + 3*u(z).\nAnswer: -z + 645","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/14940 and 31\/14940.\nAnswer: 14940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllllllltlltllllll. Give prob of sequence ltl.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -32 - (28 + 31 + -82)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 3*g**2 + g + 7. Let z be c(3). Calculate the remainder when 90\/5 - (1 - -2) is divided by (z\/(-2))\/((-5)\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 = -0*c. Let n = 2 + c. Solve -2*a = n*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03 - 0.23. Suppose -v - 5 = -2*j - 3, 2*v = 2*j - 6. What is the closest to n in -3\/7, 2\/3, j?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/15 and -85\/97608?\nAnswer: 488040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 300edbf - -a?\nAnswer: 300edc9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 7:21 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + -1 + 1 + -741. Let v = 1046 + a. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(5*q - 3*q + 2*q) + 7 - 9 + 0 + 12*q.\nAnswer: 16*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333 - 293 = -10*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 9*g - 23. Let k be y(13). Let h = 139 - k. Is h - (4 - 5)*1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2*z - 20, 5*b + 67 - 17 = 3*z. Suppose -3*s + 44 = 56. Let y = s - b. Solve 0 = -3*n + n - y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16 - (-16 + -8 + 10). Solve -30 = 24*s - j*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/145 and 23\/2.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/((-6)\/602))\/(-5 + 4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + 2 + sqrt(35)\/(sqrt(20)\/sqrt(4)))**2 + 1 + -3.\nAnswer: 20*sqrt(7) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.24772 less than 15?\nAnswer: 18.24772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2332436 to the power of 1\/4, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291826.\nAnswer: 2, 79, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*d**5 + 610*d**4 + 15*d**3 + 1769710*d**2 wrt d.\nAnswer: 540*d**2 + 14640*d + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 114 + -420550312?\nAnswer: -420550154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 903.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17.2 + 9.2. Which is the third smallest value? (a) p (b) -0.4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 29 = 9. Let u be 1*(-4)\/(-8 + p). Let o(w) = 34*w + 1. Is o(u) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/91 (b) -2\/7 (c) 3 (d) 60\/337 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11845 + 35521 + 3*n - 11879 - 2*n - 11965.\nAnswer: n - 168","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 322 = -2*f - r, -2*f - 334 = -0*f + 4*r. Let g = -203 + 199. What is the units digit of -3*(f\/9 - g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeee. Give prob of sequence eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, i: 10, p: 2, z: 5}. Give prob of picking 2 p and 2 z.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 l when two letters picked without replacement from {p: 2, h: 2, s: 2, l: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1014 divide 1226795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*u + 74*u + 74*u - 6565272 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36570 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xlxcclxxlcx. Give prob of sequence lx.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -8b?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 1923.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 4 + 2)*(-2 - 4 + 3) + 4 - 2 - 4)*(-99*l - 107*l + 45*l)*(-1 + 3 - 1)*(-4 + 1 + 5).\nAnswer: -1288*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2866*n - 5 - 4 + 2926*n as y + v*n and give v.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1870 (b) 6 (c) 7 (d) -10\/7 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-14))\/(((-128)\/28)\/4).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 13545, 27083, 40617, 54147, 67673?\n\"Answer: -2*m**2 + 13544*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 5:07 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8585819ms in microseconds?\nAnswer: 858.5819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3152165313 to the power of 1\/3, to the nearest integer?\nAnswer: 1466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - -2) + -28 + 35 + -12?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 111\/8*d**2 + 825\/8 + 3\/8*d**3 + 933\/8*d = 0.\nAnswer: -25, -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74305583*p**2 - 555285983*p wrt p.\nAnswer: 148611166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x - 4*x - 3*x - x - 4*x + 4*x + (-2 - 3 + 4)*(-x + 3*x + 0*x) + (-5 + 5 - 2*x)*(-2 + 1 + 2) - x - 2 + 2 - 2*x - 2 + 2.\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-2 - (2 + -2))) + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4261 + 4*c**3 - 57*c**2 + 113*c**2 - 3*c**3 - 52*c**2.\nAnswer: c**3 + 4*c**2 + 4261","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(605) + (sqrt(605) - sqrt(605)*-1))**2 + sqrt(605) + sqrt(605) + sqrt(20)\/(2*sqrt(12)\/sqrt(3) - sqrt(4)).\nAnswer: 23*sqrt(5) + 5445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 34*u - 2. Let q(o) = 69*o - 5. Let m(b) = 2*q(b) - 5*y(b). Let k(i) be the second derivative of -5*i**3\/6 - 18*i - 2. Calculate m(k(x)).\nAnswer: 160*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -10 + 3 - (1 + -6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8375 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -5\/3947?\nAnswer: -5\/3947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**4 - 3*c**4 + 6*c**4)*(-1 + 3 - 5)*(0 + 0 + 4*c).\nAnswer: -24*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22202.2 * -1.3.\nAnswer: 28862.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y - 10. Let f be a(-7). Let z = 524 + -521. Solve -f*s - 2*c - 16 = 0, 0 = 5*s - 0*c - z*c + 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -3) + 16 - (77 - (114 + -28)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5577694 divided by -194\nAnswer: 28751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.98 - 85.98. Let a = 84.00000005 + r. What is a rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1287613 is divided by 5410.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-1804)\/1353)\/(-18 - -8)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 4*u - 59 + 17 + 4*u. Let r be l(13). Calculate the greatest common factor of r and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, d: 2, s: 1}. Give prob of sequence ddg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -225595 + 225672. Let m(y) = -y**3 + y**2 + y + 75. Let s be m(0). Is x at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 4*b**2 + b + 9. Let u be 2\/4 - 94\/(-4). Suppose -4*y + u = 2*y. Is o(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 85590136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2912 + -704. What are the prime factors of u?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 15477*a + 91 - 15478*a - 52 + 326 + 136. Let f(d) = d**2. Determine f(w(s)).\nAnswer: s**2 - 1002*s + 251001","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8052993097 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 1:03 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 992 = 45*n + 182. Calculate the greatest common factor of n and 474.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 - 1 + 4 + 4*h**2 - 4*h**2. Calculate the remainder when z(3) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2059 and -6.\nAnswer: 12354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*f = 26*f. Let p(w) be the first derivative of 0*w**3 + 5\/4*w**4 + 25 + 21\/2*w**2 + f*w. What is the second derivative of p(v) wrt v?\nAnswer: 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15692239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -1 - (83 - 81)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 609570 and 7830?\nAnswer: 53032590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 2*p + 0*p - 5*p + 4*p - 2*p - 2*p - p + 2*p + (-p + p + p)*(0 - 1 - 1))*(-3*p + 3*p + p).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j + 192 - 386 + 194.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1311529573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 15*p**2 + 31*p - 70. Determine m(-17).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 3. Let h = -1 + z. Suppose 19664*i - 19668*i = -8. Solve h = -i*w - w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 7:54 PM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 783357?\nAnswer: 3, 23, 11353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kktt when four letters picked without replacement from {k: 2, t: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.854464 rounded to three dps?\nAnswer: 0.854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -2\/11, 461, 0.01184 in increasing order.\nAnswer: -2\/11, -2\/15, 0.01184, 461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -2.3. Let k = b + 0.3. Suppose -4*j + 3*j + 1 = 0. What is the nearest to k in j, 3\/7, -3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y + 41. Calculate q(-24).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-12)*(-45)\/6 - -9. Suppose 0*d + x = s*d - 1681, d = -3*x + 404. What is the hundreds digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/7 - (-2416739)\/91 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -33819 less than -169098\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-2)*6\/(-3). Let h = 13 - 12. What is the units digit of -2*(y + (2 - h))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -719653 + 719603.7853. Let g = 90 - 90.1147. Let n = g - p. What is n rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 596\/15 + -118\/3. Let k = -3 + 5. Suppose 5*q - k*s = 5, -s - 10 = 5*q - 0*s. What is the closest to -1 in 0, u, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192608621213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 0 + (3\/2 - 99\/(-6)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -109 + 379. Let p = z - 265. Put -4, p, 4, 1 in increasing order.\nAnswer: -4, 1, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -37*s**5\/20 - 53*s**2\/2 + 61*s. Find the first derivative of m(b) wrt b.\nAnswer: -111*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-3))\/(20\/(-180))*(-3)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 31240 (base 5) to base 12\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 178911 (base 10) to base 16\nAnswer: 2badf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 27 - 997*c + 934*c + 4. Is s(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -13. Let n = 52 - x. Let z = n + -39. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 3. Let u be (-1 + 2 + 2)*(-34)\/102. What is the nearest to -0.4 in q, u, 2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 977859 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2852743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -48 and -46.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 245\/(-13) + (-8810)\/57265\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/778 and ((-4148)\/(-366))\/(8\/(-6)).\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 5, 9, 3\/38, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -24. Suppose v = -3*p + 31 + 26. Solve -5*u + 23 = y, -2*y = 3*y + u - p for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 578 is divided by 63?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b**3 + 8*b. Suppose -4*x + 0*o = -4*o + 16, -3*o - 44 = 4*x. Let l(v) be the first derivative of -v**4 - 5*v**2\/2 + 1. Give x*l(c) - 5*z(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2207 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of 0 + 2*w**2 - 1\/8*w**4 + 0*w + 1\/60*w**5 + 0*w**3. Find the second derivative of c(n) wrt n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -75 - -308. Suppose 0 = 15*g - b - 307. Calculate the remainder when g is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -6*y**2 - 3*y - 1. Let f(c) = c + 1. Give 2*f(r) + t(r).\nAnswer: -6*r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 8*q**2 - 21*q - 19. Is z(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 9*x + 2. Calculate q(-11).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 388599555 to the power of 1\/3, to the nearest integer?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -5 - (-2 + (-2 - -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 1. Suppose -y*f + 7*f + 3*b + 9 = 0, f - 4*b + 7 = 0. What are the prime factors of (-6)\/12*(-1 + f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4}. What is prob of picking 2 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 11:39 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from erank. Give prob of sequence nrk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 6:12 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kekkekk. What is prob of sequence ee?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 876*z - z**3 + 2*z**2 - 1 - 876*z + (1 + 1 + 0)*(0*z + 3*z**3 + 0*z) in the form b*z**2 + s*z + r*z**3 + d and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-2 - 6\/3). Put s, -2, -1 in ascending order.\nAnswer: -2, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 22*z + 5. Determine r(22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.2635l?\nAnswer: 4263.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 61*v - 20*v + 224*v - 5830 for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 76*s**2\/3 - 73730*s\/9 + 27778\/9 = 0.\nAnswer: 43\/114, 323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028 plus -4?\nAnswer: -4.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/11058 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 16*n - 12. Let j be d(17). Suppose -5*b = -4*a + 3, 0 = 5*a + 5*b - 0*b - 15. Let m be a + (-1 + 1 - 1). Sort m, j, -5 in decreasing order.\nAnswer: j, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1202*d**2 + 4615*d - 4615*d - 2*d**2 + 0*d**2 + 3*d**2 + (2*d + 2 - 2)*(-4 + 4 - 2*d) - d**2 + 0*d**2 + 2*d**2 + 2*d - 2*d**2 - 2*d.\nAnswer: -1206*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 93 - 72 + 73*c + 157.\nAnswer: 72*c - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 367817\/43 - 8553. Let c = -3797\/258 + x. Find the common denominator of c and -3\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/32 or 715?\nAnswer: 5\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**3 - 1 - 9*i + 7 - 11 + 4 + i**4 to the form g + r*i**2 + o*i**3 + d*i + y*i**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in days?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12.5 - 8. Let o = c - 3.5. Let u be (-4)\/(-6)*(-18)\/(-28). Put -1, u, o in descending order.\nAnswer: o, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -31 + 11. Suppose 0 = 5*v + s*y + 125, 4*y + 58 = 4*v - 6*v. Which is smaller: v or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -1\/7, 11, 4, 1\/5 in descending order.\nAnswer: 29, 11, 4, 1\/5, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmu when three letters picked without replacement from {m: 8, u: 2}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 32*f**2 - 224*f + 93. Let i be d(22). Sort i, -106, 14 in decreasing order.\nAnswer: 14, i, -106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + 5*-2*sqrt(108)*3*1 + -5)**2.\nAnswer: 1440*sqrt(3) + 194408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 9:07 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + ((-6)\/(-15) - 2). Let r = -0.227 - -0.227. Let f = 8.8 + -9. Which is the closest to 9? (a) r (b) s (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 7:41 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78205644.\nAnswer: 2, 3, 11, 17, 11617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1322, 0.42, -0.477 in descending order.\nAnswer: 0.42, -0.477, -1322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.235 - -2.6?\nAnswer: 2.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 6 = 2*i. Let n be (-3)\/(-3)*(i - -2). Which is smaller: -2\/15 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3313020 (base 4) to base 14\nAnswer: -5a9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 8*t**2 + 5*t + 17. Let u be g(-7). Calculate the highest common divisor of 248 and u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13692.\nAnswer: 2, 3, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 77*q**2 + 4*q - 5. Suppose -10 = 2*i - 0. Let d be u(i). What is d rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-26)\/4*-4 - 4?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iggicciicssc. What is prob of picking 1 i, 1 g, and 1 c?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*n - 30 = 0, 0*p + 3*p = 4*n + 100. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sd when two letters picked without replacement from {s: 2, e: 1, d: 1, p: 5}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103175 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*k + 199*k - 3996 = 0 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 168.9 - 174.9. Which is the second biggest value? (a) 1.1 (b) 1\/4 (c) s (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 457*b + 0 + 5 - 5.\nAnswer: 457*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.3 (c) -6 (d) -0.5 (e) 2\/445\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 1929*o**3 + 163*o**2 + 1930*o**3 - 41*o**2 as a*o**2 + t*o + c*o**3 + k and give a.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 46*b - 8.\nAnswer: -46*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 25*i - 994. Calculate h(40).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -121.7 + 140. Let f = n - 17. Round f to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 3 = -36. Suppose v*d = o + 64126, 4*o - 15 = o. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**6\/24 + q**4\/4 - q**2. Let r = -69 + 76. Suppose -r*s = -18 - 24. Let m(i) = -i**3 + i. Determine s*m(c) - b(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 3. Suppose -o = -6*o. Let m be i(o). Suppose -4*t = 5*v - 25, -m*t + 12 = 2*v - t. Calculate the highest common factor of v and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 4*t**2 - 6*t. Let b = -4 + 9. Let v be r(b). Sort 2, 4, v in descending order.\nAnswer: 4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iq when two letters picked without replacement from {i: 3, q: 1, w: 4}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2373*y*z + 15445*y wrt z.\nAnswer: -2373*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1485*j**2*l**3 - 15*j**2*l + 575*j*l**3 - 1400*j*l - 60*l**2 wrt l?\nAnswer: -8910*j**2 + 3450*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1860627103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7442 + 3*a**2 + 4722 + 2720.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -2*p**5\/5 + 2*p**4 - 4*p**3 + 4*p**2 - 2*p - 210. Solve r(u) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 2*y**7\/105 + y**5\/12 - y**2 - 5. Let x(o) be the second derivative of b(o). Find the third derivative of x(f) wrt f.\nAnswer: 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/9*(-36)\/90.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6908.38102 rounded to one dp?\nAnswer: 6908.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38 - -35 - 124\/(-40)) + 1064\/(-11440)?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 227500691 and 58729?\nAnswer: 3091","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3\/8, -4\/7 in descending order.\nAnswer: -3\/8, -4\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzqzqvvzzuvuuuz. What is prob of sequence zvzu?\nAnswer: 8\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.3, 2\/1332901, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 20*o**2 - 50*o + 211. Calculate the remainder when d(8) is divided by 155.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*(-1 + sqrt(112)) + (3 + sqrt(1008)*1 - (sqrt(1008) + 1)*3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1826092*k**4 - 596525 wrt k.\nAnswer: 7304368*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 24 = -6. What is the remainder when ((-804)\/(-48))\/(2 + (-14)\/8) is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 3*q = 4*l, -13900*l + 13897*l - 7 = -2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 12:41 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*a + 7389. Let z = 27127\/11 - a. Is z at most as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gaqgaogoggfa. What is prob of sequence fga?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32755326314735524271194\/683207320105695 + -1752\/305685601837. Let z = k - -47943460. Let q = 63\/149 - z. What is the common denominator of q and 55\/21?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1330, 1049, 756, 451, 134?\n\"Answer: -6*o**2 - 263*o + 1599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 3705?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) -4 (c) -0.1 (d) 10 (e) 5 (f) -6\/17 (g) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79902 is divided by 97?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2619 - -2618.7. What is the second smallest value in 1, 2\/223, w?\nAnswer: 2\/223","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2 - 3. Let x(d) = -d**2 - 2. Suppose -3*m - 2*p = -2, 0*p = -2*m - 3*p + 8. Let o(a) = m*y(a) + 3*x(a). Let r(t) = 2*t**2. Give r(o(h)).\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 581052?\nAnswer: -581052.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*q + 3*d, 3*q + 0*d = d + 8. Which is smaller: q or 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (14 + -4)*6\/(-16). Let p be ((-8)\/48)\/(2\/(-4)). Are p and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w + 19*w + w)*(-1 + 3 + 0)*(1 - 5 - 3).\nAnswer: -364*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 6*z - 6*z. Let g(a) = -3*a**2 - 5*a**2 + a**2. Give g(j(b)).\nAnswer: -7*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.009 times -3425\nAnswer: -30.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*(q\/q**(-1\/6))\/q)\/q*q*q)**(-3\/40) assuming q is positive.\nAnswer: q**(-13\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 7*o**3 - 15*o**2 + 14*o + 23. Is f(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (22 - 25) - (-1 - (-7 - -7 - 100)).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32497 is divided by 7931.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1751651?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 828159581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n + 4. Let t be c(-4). Suppose t = 3*z + 2*f - 125, -z = 3*f - 37 + 7. Let r = z + -26. List the prime factors of r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -11. Let z(x) = -8*x - 6. Does 7 divide z(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-30)\/(-18))*(4 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1463893701 to the nearest integer?\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (7 - -16) - 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 + 3*g + 5. Let k = 1 - 6. Let a(d) = 2*d**2 - 3*d - 4. Let n(y) = k*a(y) - 4*i(y). What is the second derivative of n(o) wrt o?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160586088?\nAnswer: 2, 3, 13, 131, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/136 and -143\/1775106?\nAnswer: 7100424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2812\/7 + -401. Do x and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.291859mm in kilometers?\nAnswer: 0.000000291859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j + 54. Let z be h(0). Suppose -24 = -2*f + z. List the prime factors of f.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, z: 4, x: 1, c: 4}. What is prob of picking 1 x and 3 z?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*o - 2*d - 234 = -170*o, -5*o - 2*d = 66 + 64 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12218, -11920, -11430, -10754, -9898, -8868?\n\"Answer: -y**3 + 102*y**2 - y - 12318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - o - 10 = o, -2*g - 3*o + 25 = 0. Suppose 18 = g*h - 27. Calculate the remainder when 34 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3144649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - q**2 + q. Let b(m) = -4*m**3 - 11*m**2 + 8*m + 2. Let a be -7 + (-42)\/(-7) + 6. Let w(o) = a*c(o) - b(o). Calculate w(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 117?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39554 - 1210*s**2 - 39554 to the form m*s + a + y*s**2 and give y.\nAnswer: -1210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*s**3 - 23*s**3 + 51*s**3.\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -359\/380 + 21\/20. Let v(t) = t**2 + 15*t - 22. Let a be v(-16). Which is smaller: a or r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 3, q: 2, n: 6, a: 1, f: 1, p: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 11*c**2 - 16*c + 5. Let q(w) = 4*w**2 - 6*w + 2. Let o(a) = -8*q(a) + 3*r(a). Let x(v) = 2*v**3 + 3 - 15 + v**2 + 9*v**2. Calculate -12*o(p) + x(p).\nAnswer: 2*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - (5 - (-2 + 5)). Let w = -48 + 52. Solve 0 = -o*s - s - w for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111101011010111 (base 2) to base 7.\nAnswer: -552515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -13761*z + 6412678. Determine x(466).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and 1.373?\nAnswer: 9.611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t = -13809 - 259351. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 426089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**5 - 5*s**4 + 5*s**2 + 5*s - 5. Let t = -14 - -12. Let f(h) = h**5 + 2*h**4 - 2*h**2 - 2*h + 2. Let k(y) = t*m(y) - 5*f(y). Factor k(q).\nAnswer: -q**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 3*y + 3. Let m be x(3). Suppose m*k = -0*k - 3, 3*g - 4*k = 595. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 1\/8, -18?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*g + g - 19 = 0, -4*w + 20 = 4*g. Factor o**5 - 13\/4*o**4 + 1\/4*o + 15\/4*o**3 - 7\/4*o**w + 0.\nAnswer: o*(o - 1)**3*(4*o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2440 and 354040?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -4 (b) -10 (c) -2\/21 (d) -5719\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13008 - 8930. What is the thousands digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 680*m + 35. Let y(a) = -31*a. What is h(y(v))?\nAnswer: 961*v**2 + 21080*v + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3995*k + 4289. Is l(18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j - 2. Let u be c(-3). Suppose 0 = -2*q + 2 + u. Suppose 5*y - 51 = -s, 41 = -0*y + q*y - 2*s. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 174 - 231. Let g = -56 - k. Let r be (-48)\/22*2\/(-6). Which is greater: g or r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*c = 12, -4*c = 4*h + 14 + 18. Suppose -5*m = 18 - 38. Put -2, m, h in decreasing order.\nAnswer: m, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.02 (b) 0.5 (c) 167\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -98*a**4 + 20548*a**3\/7 + 91512*a**2\/7 + 97520*a\/7 + 4352\/7 = 0?\nAnswer: -2, -16\/343, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 233200 (base 5) in base 13?\nAnswer: 3b79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 u when three letters picked without replacement from {n: 3, u: 3}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 6) in base 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-32)*10 - -3. Let h(s) = 3*s**2 + 3*s - 1. Let l be h(2). Let n be 12\/(-4) + l\/5. Which is the closest to d? (a) -2\/21 (b) 5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o. Let v(n) = -n**2 - 4*n + 4. Let j be v(-4). Let s(i) = j*i - i + 2*i - 2*i. Give a(s(d)).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 741, 731, 721?\nAnswer: 711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 92\/759*(-594)\/(-36)*(-4)\/((-304)\/(-6))?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25802 + -14602. Calculate the greatest common factor of 14 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 8*p**2 - 5*p - 35. Let q be i(7). Let j = 154 - q. Let l(y) = 2*y - j + 89 + 86. Let h(t) = -6*t**2. Give l(h(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**2 - 151*j**5 + 22273*j**4 - 12*j - 22273*j**4 - 4 wrt j.\nAnswer: -3020*j**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 0*z - z)*(78 - 78 - 29*z**2)*(-4*z**2 + 3*z**2 - z**2).\nAnswer: 58*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -13) + ((-14 - -37) + 18 - 18)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62 + 67. What is the remainder when 78 is divided by 12*(0 + 2) + n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/8 of a week?\nAnswer: 147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 194*h - 3046 with respect to h.\nAnswer: 194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7516 and 188.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124103 is divided by 9546.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence omoo when four letters picked without replacement from {m: 2, o: 7}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 - 4*m - 50. What is h(6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (5 + (-5 - -2) - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -5*i + 20. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.27, -0.2, 0, 571, -4?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3475 - 2234. Calculate the highest common factor of 365 and t.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 128 + -642\/5. Let l = 443.9 + -444. What is the third smallest value in z, 0.3, l, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 9, 1\/15, 1?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g = -4*g - 380254 + 2426. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -766*o + 139*o - 54476 - 209372 = -3695*o for o.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2923196, -2923174, -2923152, -2923130?\nAnswer: -2923108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 335762293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18795694 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x - 58. Give n(27).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -396 - -390. Put 25, -4, u in increasing order.\nAnswer: u, -4, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 1177 = 302. Does 35 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -186639.098 to the nearest one thousand.\nAnswer: -187000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2307 + -2300. Solve 1 = -h*k + 15 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-483)\/(-14)*4\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*y**5 - 1496*y**4 - 2589*y**3 + 10094*y**2 + 3892*y + 360 = 0 for y.\nAnswer: -9, -5, -2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*q - 944, -4*q - 5*u - 216 = 531. Let p = q - -188. Solve a - i = -1, p = 5*a + i + i + 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120850 + 120850 + y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -7\/18*j**3 + 2\/15*j**5 + 0*j + 0*j**2 + 9\/8*j**4 + 14. Factor c(s).\nAnswer: s**2*(s + 7)*(4*s - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1836683 take away -4364.03?\nAnswer: 1841047.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 156175.4um to nanometers.\nAnswer: 156175400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*o**3 + 59*o**3 + 59*o**3)*(-1 - 1 + 0)*(-7*o + 11*o + 47*o) - o**3 + o**3 - 2*o**4.\nAnswer: -17648*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.064043 to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -179895 divided by -179.\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a4 + -578?\nAnswer: -4c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 1123*p + 1. Let j(s) = -5*s**2 - 245*s. Determine j(x(w)).\nAnswer: -6305645*w**2 - 286365*w - 250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (25 + 416\/(-13))*(96\/98 - 1). Which is the nearest to -0.2? (a) -66 (b) 5 (c) -3\/14 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12821.0958788 + -15.31?\nAnswer: -12836.4058788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38.61 - -39. Let j = -0.01 + r. Let p = j - 0.38000204. Round p to seven decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 405\/(-36) + (-80)\/64.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.079250742 to 4 dps.\nAnswer: 0.0793","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-28)\/(-10)) - 38\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 854265228 and 2878.\nAnswer: 2878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 3. Calculate the common denominator of y + 1 + (-166)\/(-12) and 41\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 574127 is divided by 287057?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -39584*z - 2. Let d be c(-3). Let i be 425\/(-175) - 6\/(-14). Let b be (-16*d)\/5 - (i + 2). Round b to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44*r + 9*r - 4*r)*(-29*r - 21*r + 17*r)*(0*r + 3*r - 4*r).\nAnswer: -1287*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 705, 9049, -0.5?\nAnswer: 9049","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 158, 665, 1484, 2603, 4010, 5693, 7640?\n\"Answer: -2*i**3 + 168*i**2 + 17*i - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 24225*a**2 + 8 + 2*a**3 - 4*a + 4*a - 24221*a**2 + a**4 as s*a**2 + p*a**4 + w*a**3 + y + x*a and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 107*r = 111*r + 8, -r - 4 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 119750 or 119987?\nAnswer: 119987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 11*p**2 - 14*p. Let z(b) = 7*b**2 - 10*b. Give -5*n(g) + 8*z(g).\nAnswer: g**2 - 10*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 53600 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/2, 82\/9, -0.427?\nAnswer: -0.427","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/66 and 115\/282?\nAnswer: 3102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**4 + 195*m**3 - 2840*m**2 + 10980*m - 12240 = 0. Calculate m.\nAnswer: -51, 2, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 4840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*b + b + b)*(2 - 5 + 4) + 73*b - 1 - 1 + 2 as g*b + j and give g.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -519*z - 22*z + 138*z + 137*z + 140*z + 137*z.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -19*c**6\/30 + c**4\/6 - 11*c**2 + 12*c. What is the first derivative of f(m) wrt m?\nAnswer: -76*m**3 + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 16*d - 44. Let v = -117 + 138. What is the tens digit of u(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + y. Let d(r) = -r + 1. Let b be d(2). Let k be 4\/((-4)\/(-1))*b. Let h be t(k). Solve h = -5*c - 0*c - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/8 - 15*a**2\/4 - 39*a\/8 + 33\/4.\nAnswer: 3*(a - 11)*(a - 1)*(a + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -175b?\nAnswer: -175e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 31521303 + 3\nAnswer: 31521306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*k + 106*k - v + 29 = 0, v = -2. What is the second smallest value in 4, -2\/5, k?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*w + 33*w - 18 = 0. Let j(r) = -r**3 - 6*r**2 + 0*r**3 + 2 + 17*r**2 - 12*r. What is the remainder when j(w) is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, q: 7}. Give prob of sequence qqpp.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*i + 5709 - 2293 = -63*i - 8155 for i.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -28. Let m = 18.997 - -0.003. Let l = c - m. What is the smallest value in l, 4, 1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 162*a + 3574. Let m be z(130). Round m to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 840 = -8*o + 1112. Calculate the greatest common factor of o and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - 4.1. Let l = i - -3.97. Let o = -0.97 + l. What is the nearest to o in 0.3, -2, 2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 497, 494, 491, 488, 485, 482?\n\"Answer: -3*s + 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -453\nAnswer: 1\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {p: 1, y: 1, z: 4, u: 1, w: 4, t: 7}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 13 - 3. Calculate the least common multiple of 3 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of 13*m**5\/60 + m**4\/12 - 9*m**2. Give w(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r + 3*r - 48 = 0. Solve m + 2*d = r, 0*d = -m - d + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -986*j**2*y**2 - 24642*j**2 - 2*j*y - 107*j + 55671*y**2 - 2 wrt y.\nAnswer: -1972*j**2 + 111342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5674327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3334, 6673, 10018, 13369, 16726, 20089?\n\"Answer: 3*k**2 + 3330*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.83 and -5503.\nAnswer: -4567.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/40 of a second?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 6:06 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/7)*l*l*l**(-8)*l*l)\/((l\/(l*l*l**9*l)*l*l)\/(l**(-1)*l)) assuming l is positive.\nAnswer: l**(39\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -326?\nAnswer: 1\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.050106286 rounded to 5 decimal places?\nAnswer: -0.05011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/8840 and 47\/18564.\nAnswer: 185640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8597620 and -3.\nAnswer: 25792860","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 10869351 to the power of 1\/3, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*k - 24*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -17 + -15?\nAnswer: -2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101242 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -4*b**3\/3 - 28*b**2 + 60*b - 92\/3 = 0?\nAnswer: -23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-40)\/(-25)*120\/96. Solve 2 = 3*n - p*y, -11*y = -3*n - 16*y + 16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 12 = -4*m + 20, 2*m = 5*q + 28. Suppose 7*d + 3*j = 3*d + 7, -32 = -5*d + 4*j. Which is the third smallest value? (a) q (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 2*d - 6. Let u be n(7). Suppose -3*w = -2*a - u, 3*w - a - 6 - 22 = 0. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -6*m - 13. Let k(j) be the first derivative of -190 + 2\/3*j**3 + 0*j**2 + 0*j. Determine k(h(c)).\nAnswer: 72*c**2 + 312*c + 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 0, 0 = 15*a - 17*a - 2*x + 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 6 (c) -755 (d) 0.5 (e) 0.16 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 15*z**5\/4 - 669*z**4\/2 + 25437*z**3\/4 - 19977*z**2\/2 - 43614*z + 9072 = 0.\nAnswer: -2, 1\/5, 4, 24, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j - 4. Let p(f) = 6*f + 5. Let d(m) = -4*g(m) - 3*p(m). Let n be d(-3). Put 1, n, -4 in increasing order.\nAnswer: n, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -710 (base 11) to base 14\nAnswer: -454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*-2*33\/(-10). Suppose d + 5*f - 17 + 5 = 0, -5*f = -d + 32. Calculate the greatest common divisor of d and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.067, -5, -13\/5, -3\/7, 1\/12, -0.5, 2\/7?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 11:34 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(99) - (sqrt(275)*6 + sqrt(11)))**2.\nAnswer: 12716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 14*a = 80. Suppose -4*x = -0*x - a. Solve n - 20 = -3*n, -x*n = 3*h - 22 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l - 2. Let j(p) be the second derivative of -p**3\/6 + 11*p**2\/2 + 3*p. Let f be j(6). Suppose -3*c + f = -1. Determine i(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 minus 337.97?\nAnswer: -353.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -102.9 and 124044105.\nAnswer: 124044002.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 55150409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -a**8\/1680 - a**4\/6 - 4*a**3\/3 + 2. Let j(p) be the third derivative of q(p). Find the first derivative of j(l) wrt l.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -24d6e + 281?\nAnswer: -24aed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 102233332 (base 4) in base 12?\nAnswer: 3853a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9918 >= 20542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u. Suppose i - 2*i = -3. Let o(c) = -i*c + 2*c + 6*c - 3*c. Determine k(o(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5095271 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168, -340, -512?\nAnswer: -684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 810?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 102 and 561?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 + (-3 - -1) - -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*k - 4*m - 8 = -51*k, -5*k - 2*m = 40 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 0.5 (b) -0.3 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwkwwewekkkk. Give prob of picking 1 k and 2 w.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.33 + -3.33. Which is the closest to -1\/8? (a) -5\/3 (b) d (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -0*i - 3*c + 15, 0 = 5*i - 4*c - 43. Let d = -26 + 59. What is the remainder when d is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6600698ug in nanograms?\nAnswer: 660.0698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzhjfzzzjzzuhfz. What is prob of sequence zjf?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -555964 or -555952?\nAnswer: -555964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9095299.\nAnswer: 29, 47, 6673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**3 - 32660*f**2 + 3105764*f + 3138420 = 0. Calculate f.\nAnswer: -8259, -1, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29081 + 29082. Let y = 3 - 10\/3. Put 3, s, y in decreasing order.\nAnswer: 3, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -6*m + 4. Let l(q) = 5*q - 6. Calculate -4*l(z) - 3*n(z).\nAnswer: -2*z + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 8 = 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4 = -0*f. Let l be 1\/(1 - -2 - f). Let h be -4*l\/8 - -1. Which is the nearest to 0.2? (a) -5 (b) h (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14910724 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28893.06 centimeters to millimeters.\nAnswer: 288930.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -2. Let f = 0.4 + -0.8. Let n = f - -0.9. What is the nearest to z in 0, -3\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6848.006 hours in microseconds?\nAnswer: 24652821600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.308 * -1\nAnswer: -0.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**6\/6 - 3*z**5\/4 - 5*z**4\/12 + 5*z**3\/2 + 5*z**2 - 6*z. Let i(r) = 0. What is r?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 451*c + 343 wrt c?\nAnswer: 451","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 4\/5 (b) 0.7 (c) -1\/6 (d) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 42. Let h = r + 39. Let u = -13.4 + h. Which is the closest to 0? (a) -0.5 (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19208 and 103992.\nAnswer: 35669256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(((-3)\/(-6))\/(-5*8\/(-160)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -385333.7 rounded to the nearest ten thousand?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 1.17.\nAnswer: -1.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 17 = y - 10*f, 2*y - 26 = 4*f for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1086 and 115840?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-15)*9\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1739\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1027 - 967) + (-6 - 1)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4065 and -0.11.\nAnswer: -447.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*g + 19167 + 22558 - 62*g + 12*g + 21*g.\nAnswer: g + 41725","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 6375*w + 95400.\nAnswer: (w - 6360)*(w - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -890, -889, -888, -887, -886, -885?\n\"Answer: d - 891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76912 and 1064?\nAnswer: 538384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -228155400 divided by -2277.\nAnswer: 100200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, g: 2}. What is prob of picking 2 g and 2 l?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 5. Suppose -12 = -s*f + 6*f. Sort 0, f, 4 in decreasing order.\nAnswer: 4, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 384055199 is divided by 676?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0, 5, 1, -3 in descending order.\nAnswer: 8, 5, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 670 in -5, 4, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 0.5 (c) -2\/3 (d) 1\/18 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -542 - -541.999502. What is b rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o + 3. Let h(j) = -41 - 41 - j + 83. What is 6*h(n) - 2*y(n)?\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (sqrt(1300)*2 - sqrt(1300)) + sqrt(1300) + sqrt(13) - ((sqrt(26)\/sqrt(2))**2 + 3) - 3*(1*sqrt(13) + -3)) + -5.\nAnswer: -12 + 19*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/21 and 43\/30780?\nAnswer: 215460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 6*c + 7. Let r be n(7). Let q(k) = -k + 14. Let v be q(r). Suppose -s = -3*s + v. Calculate the highest common factor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -315 divided by 3\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from {u: 2, y: 3, x: 10}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48370 * -3.\nAnswer: 145110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)*3)\/(sqrt(14)\/(sqrt(63) + sqrt(7))).\nAnswer: 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t. Let s(m) = -234*m. What is b(s(c))?\nAnswer: -234*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04247288722 to 4 decimal places.\nAnswer: 0.0425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1268262108.\nAnswer: 2, 3, 35229503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -460 or -5974\/13?\nAnswer: -5974\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -49*j**2. Let d(b) = -16*b**2. Give d(a(c)).\nAnswer: -38416*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -15.2+-10544651247\nAnswer: -10544651262.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(304\/32 + -1).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-15)*(x**7\/x*x)\/x)\/(x**(-2))**(-5\/8))**(1\/9))**(-10) assuming x is positive.\nAnswer: x**(205\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 21266643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvvi when four letters picked without replacement from {l: 2, v: 1, i: 2, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16545963?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/945 and 32\/243.\nAnswer: 8505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.7 rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggxgxxgxggggx. Give prob of sequence ggxx.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, j: 3, n: 12}. Give prob of picking 2 w.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -468\/1319 - -321679\/1200290. Calculate the common denominator of f and 36\/25.\nAnswer: 4550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-1*sqrt(450) + sqrt(450))*1 + sqrt(450))\/(sqrt(90)*-4*4).\nAnswer: -sqrt(5)\/16 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*p = 7, m + 1 = -p - 2. Let b = 5.633 - 2.633. What is the nearest to -1 in -0.3, -186, m, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1029\/23 - -121382\/2691. What is the common denominator of j and 139\/324?\nAnswer: 4212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2076, -4152, -6228, -8304?\n\"Answer: -2076*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -80*c**3 - 13948*c**2 + 655440*c + 398268 = 0. What is c?\nAnswer: -851\/4, -3\/5, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 520451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)\/(sqrt(4)*1) + -1)**2.\nAnswer: -2*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8989 = 4*m - c, 12*m + 8984 = 16*m + 4*c. What is the highest common divisor of m and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*l + 8 = -2*q, 0 = -3*q + 4*l + 23. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 2*y**2 + y - 3. What is g(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -2*v - 4*n + 2*n, 0 = 3*v - 4*n - 67. Is v bigger than 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 0 + 0*s**4 + 46\/21*s**7 + 0*s**2 + 19\/6*s**3 + 0*s**6 + 0*s**5 - 18*s. What is the second derivative of b(c) wrt c?\nAnswer: 1840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20546 is divided by 70?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b + 16?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 975 and 2743.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and 1272593229.7468.\nAnswer: 1272593228.7468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -4. Suppose 4*l - 3*h = 20, 4*l - h = 5 + 15. Put w, l, 1 in descending order.\nAnswer: l, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12.58 - 0.58. Is a smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 8*u - 17. What are the prime factors of x(8)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6831830507 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, s: 7, w: 5, c: 5}. Give prob of sequence cc.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30733, 61635, 92537, 123439?\nAnswer: 154341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*k + 231882 = 687105. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 34726467 + 3?\nAnswer: 3472646a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 138\/368*(-1 + 25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 + 3*p. Let x be s(-2). Let a(g) = -g - 2. Let t(f) = f. Let o(k) = -a(k) + 2*t(k). Determine o(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 76*r**4 + 4*r**3 - 63*r**2 + 12*r - 3. Let y(c) = -c**4 - c**3 + c**2 - 4*c + 1. Let g(n) = -q(n) - 3*y(n). Find the third derivative of g(z) wrt z.\nAnswer: -1752*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of -q**6\/24 + q**5\/12 + 15*q**2. Factor z(v).\nAnswer: -5*v**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503518 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1306.9 + -647794?\nAnswer: -649100.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 0.1 (c) 2060687 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 837 a factor of 55784338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1712 divided by -107?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4143100 (base 5) in base 14?\nAnswer: 1ad89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*k - 9. Let w be (1\/(-11))\/(7\/(-14) - k). Which is the biggest value? (a) 0.1 (b) -4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(3 + 2 + -7). Let i be (-2 - -6 - -2) + -1. Suppose -t + k = -i. Solve -t + 25 = -4*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 141\/(-156) + 4\/26. Which is the smallest value? (a) 0.3 (b) 0.1 (c) i (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 964210646?\nAnswer: 2, 7, 23, 2994443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1371 divided by -457.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 12) to base 14\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 2*v + 11, -1483 = f - 3*v - 1473 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.3 (b) -0.015 (c) -0.2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 115151 + -79869. Suppose w = -2*g + 70559, -2*w - w = g - q. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*i - 16*i + 231. Suppose -101*o + 104*o = 792. Calculate the highest common divisor of o and i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 9:11 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 15*n + 26. What is the hundreds digit of v(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-55)*1*(-3)\/(-12).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 179102820.2 to the nearest one million.\nAnswer: 179000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000000315 rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 4 = c, -7*s + 10*c = -0*c + 9*c + 443 for s.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 152\/(-6)*6\/(-20). Let j = 41\/5 - y. Suppose -4*u = -2*i - 18, 0*u - u + 12 = -2*i. What is the smallest value in j, u, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 13 - 7*h**3 + h - h + 2*h**3 + (-7*h + 4*h + h)*(0*h + 0*h - 2*h**2) as o*h**3 + u*h + d*h**2 + a and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 3 + 3)*(-4*v**4 - v**4 + 2*v**4) - 2*v**5 - 30 + 30.\nAnswer: 4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 37*r**6\/15 - 4*r**5\/5 + 713*r**3\/6 - 816*r. What is the second derivative of v(q) wrt q?\nAnswer: 888*q**2 - 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000111011001111 (base 2) to base 7.\nAnswer: -603440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 - q - 2. Let y be i(2). Let x = -2 + y. Suppose -x*l + 61 = -23. What is the highest common factor of l and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 6358 = 5*k, -3*p = 5*k - k - 4753. Let j(d) = d - 5. Let l be j(5). Suppose -2*h - 531 = -v - l*h, -3*v + p = -3*h. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 2*t**2\/7 - 499498*t\/7 + 35454276\/7 = 0.\nAnswer: 71, 249678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4\/589 - -37668\/4123. Let h = 562\/63 - m. What is the second smallest value in -0.5, h, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7357 is divided by 1015.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2353\/5 - 471. Which is the closest to -26? (a) -4 (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((6*(sqrt(75) + 1) + sqrt(75) - (-2*sqrt(75) + -5)) + 0)*4)**2 + 2.\nAnswer: 15840*sqrt(3) + 99139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 439 divide 4387805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dmf when three letters picked without replacement from aamaqqdafaaadma.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(128) + sqrt(128) + -2)**2*1.\nAnswer: -256*sqrt(2) + 2064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 - -52.926. Let o = t + -0.044. What is o rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*c = -16 + 1, 15 = -3*c. Suppose d - 4*o = o + 2, -d - o + 8 = y. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.25, 7, -2.3, 7\/5 in increasing order.\nAnswer: -2.3, 0.25, 7\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/20 and 59\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*g + 3*m + 10, g = -3*m - 13. Let j(l) = l**2 + 3*l - 3. Let v be j(g). Which is the third smallest value? (a) 5 (b) v (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1527315*f**4 - 133*f**2 - 686?\nAnswer: 36655560*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3 - 40558*f**2 + f + 40558 = 0 for f.\nAnswer: -40558, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1152 - 33?\nAnswer: 111a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 64*i - 957. Let n be p(15). Suppose -7*j + 3*j = 16. Let s = j - -4. Solve s*w = w - 3*a, 0 = 2*w + n*a for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/8 of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7550*n - 2. Let d(k) = -658*k. What is d(y(m))?\nAnswer: -4967900*m + 1316","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 775839 and 0.5.\nAnswer: 775839.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 106 - 58. Let j = h - 51. Is 11 a factor of ((-12)\/(-20))\/j + 121\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66362*t**2 + 84422*t wrt t?\nAnswer: -132724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -233 - -40720?\nAnswer: 404ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 3. Let y be t\/1 - 180\/16. Suppose m + 4 = 0, k - 2 - 4 = 4*m. Are k and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282526 - 49*n**2 - 282526 + 24*n**2 - 36*n**2 - 20*n**2.\nAnswer: -81*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*x - 50*x - 63*x - 66*x - 165 = 0 for x.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28431280*m + 5*m**2 - 14215513*m - 14215767*m.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 + (-51 - -2) - (-49 - (-8 + 3)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/26))\/(n*n**3)*((n**9*n)\/n)**(43\/2) assuming n is positive.\nAnswer: n**(2477\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588048?\nAnswer: 2, 3, 12251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 751.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 7*x + 47. Let u be 78\/(-6) - (-3 - (-4)\/2). Let s be c(u). Let g = s - -67. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000045966 to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -0.07, 0.3, 27.78, -0.4 in increasing order.\nAnswer: -1, -0.4, -0.07, 0.3, 1, 27.78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -277 divided by -119\nAnswer: 277\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 101101101 (base 2) in base 8?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1275527\/9 - 141721. Factor -1\/9*r**5 - 8\/9 - 28\/9*r - t*r**2 - 8\/9*r**4 - 25\/9*r**3.\nAnswer: -(r + 1)**2*(r + 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -19 - (316 - 291) - -39?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 135516.9 and -4328434?\nAnswer: 4463950.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12221219.1191366 + -1.8808634. Let r = p + 12221218.9999916. Let k = -2 - r. What is k rounded to 6 decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*l + 15, 5*w + 11 = -4. Let o(c) = -c**2 - 3*c. Let t(y) = -3*y**2 - 7*y. What is l*o(a) + 4*t(a)?\nAnswer: -2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 - -22. Let h be (-3)\/(-4) - 56\/(-96). Sort h, m, -2 in increasing order.\nAnswer: m, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -3*u**2 + 0*u + 1\/1050*u**7 + 0*u**6 + 0*u**4 + 1\/30*u**3 - 1\/150*u**5 + 0. Suppose i(v) = 0. What is v?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 13 and 71.\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 9 - 11*a - 21.\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of 4*t**2 + 5 + 3*t**2 - t**2 + 6*t. What is the units digit of b(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 1 + 2, 4*t + 68 = 4*u. Let j be 2\/(-5) - ((-910)\/25 + 0). What is the greatest common divisor of j and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 8) to base 7\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fqfqqqqqfqf.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -135, -401, -825, -1383, -2051?\n\"Answer: 4*u**3 - 103*u**2 + 15*u - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/11, 2, -0.26, -531?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14788, -61839, -140286, -250153, -391464?\n\"Answer: -4*m**3 - 15674*m**2 - m + 891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -19, -0.09, 0.5, 80\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*g**2 + 621 + 103*g**2 + 616 - 1838 + 601.\nAnswer: 306*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -0.4 (b) -0.2 (c) 1\/2 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 8*g**2 + 11*g + 1. Is h(-5) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - -18601*2\/6318. Let c = q + 2\/3159. Let a = 204 + -1828\/9. What is the common denominator of c and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10402 + 10481. Solve i - 37 = -7*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**5 - 80*r**4 + 65*r**3 + 150*r**2 = 0. What is r?\nAnswer: -1, 0, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (1 + (0 + 1 - -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 9*c**2 + 11*c. Let r be s(-7). Suppose r*a = 46*a. Solve a = 15*j - j - 56 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 13 = -4*z - 3, -2*s + 7 = -z. Suppose s*q = 2 + 14. Solve 3*p = -10*a + 5*a + 4, q*a + 13 = 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1005 is divided by 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -65 and -0.024?\nAnswer: 64.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 6, 24, 287, 1 in decreasing order.\nAnswer: 287, 24, 6, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4814824 divided by -2?\nAnswer: 2407412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -415 divided by -1287\nAnswer: 415\/1287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7811 is divided by 124?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36581.7 + -203555.3. Let d = 240136.609932 + a. Let b = -0.39 - d. Round b to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 112415 and -8.55 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 5 + 2 + 1 - 4 + (-4 + 1 + 1)*(3 - 5 + 4) - 1 - 2 + 5 - 2 - 1 + 1 - 1 - 1 + 0)*(8 + 4*g - 3*g - 3*g).\nAnswer: 18*g - 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1581 + 9033 = 6*w. Let k = w + -455. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.45 take away -0.1862?\nAnswer: -4.2638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + sqrt(15)\/(1*sqrt(432)) + 0 + 2 + 5)*-4.\nAnswer: -96 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5933 is divided by 42.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -141 + -49?\nAnswer: -18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 435*s - 1580*s + 86*s**2 + 550*s.\nAnswer: 86*s**2 - 595*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*b + 25 = 0, -2*y + 7*y - 25 = b. Let u be -1 + 0 - 5\/y. Let d be u - (96\/(-14))\/4. Is -5 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50\/13 - 276\/65. Suppose 0 = 10*x + 19 + 31. What is the closest to -0.4 in x, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + 11 - 19201*x + 18 + 11 + 9.\nAnswer: -19201*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 207 = 4*d + d, 110 = 2*u + 4*d. Let f = u + -58. Calculate the remainder when 49 is divided by ((-56)\/(-10) + -4)*f\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of 7*w**3\/3 + 3*w. Calculate the remainder when m(1) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19.887963632 - 87\nAnswer: -106.887963632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-140)\/(-14) - (-4 + 1). Suppose -n*z - 109 = -304. Calculate the remainder when 19 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41779 - 23665. Does 130 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 10:06 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -h**4\/2 + 13*h**3\/3 + 12. What is the third derivative of g(r) wrt r?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**4 - j**2 + j**2 + (-j + j + 2*j)*(-j**3 - 3 + 3) + j**4 - 3*j**4 + 3*j**4 - 5*j**4 + 2*j**4 - j**4 + 4934*j**4 - 17429*j**4 + 8042*j**4.\nAnswer: -4459*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 4:42 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*n + 266*n = -141*n + 3168. Solve -1 - 87 = -n*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -409*o - 340. Let g be d(10). Let w = 35535 - g. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 + 4*p**3 - p**3)*(27*p - 45*p - 34*p).\nAnswer: -104*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 5:59 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.393 + 11.59. Let c = b - 0.9958. Let a = c - 0.2. What is a rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 13*q = 18. Let k be q*1\/((-3)\/2). Solve -5*p - k = 11 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09*-2.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2.49508.\nAnswer: -4.49508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u. Let y(k) = -32847*k**2 + 325. Determine y(t(h)).\nAnswer: -131388*h**2 + 325","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ct when two letters picked without replacement from mcsdmstd?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**2 + 348*k - 352 = 0 for k.\nAnswer: -88, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/4 + -1 + -2. Solve -3*n - 8 = -3*r + h*n, -20 = 5*n for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2. Let r(o) = 25*o**2 - 45 + 45 - 7*o**2. What is r(k(i))?\nAnswer: 18*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1114 - -5\nAnswer: -1109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -75 by 227.\nAnswer: -75\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/5 + 81651*j\/5 - 734778\/5.\nAnswer: -(j - 81642)*(j - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -1.3149.\nAnswer: 2.6298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**2 - 24*y - 18. Let z(l) = l**2 + 12*l + 9. Let j(o) = -4*x(o) - 9*z(o). Let f be j(-6). Solve -4*v - 2*m - m = -f, 4*v - 2*m = 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 + 3375 = 94*y. Calculate the remainder when 41 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1757890921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**4 - 4*c**3 + 2*c**2 + 4*c - 3. Let x = -11 + 4. Let g(t) = 4*t**4 + 8*t**3 - 4*t**2 - 8*t + 7. Let r(i) = x*w(i) - 3*g(i). Factor r(h).\nAnswer: 2*h*(h - 1)*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*a - 564, 0 = -0*w - 2*w - 2. Does 38 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 2724.\nAnswer: 2724.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -62709, -62682, -62637, -62574, -62493, -62394, -62277?\n\"Answer: 9*k**2 - 62718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + -2 - (0 + -3). Let z be (10\/20)\/(u\/(-3164)). Let t = 1405 + z. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**3 + 2*v**2 + 3*v. Let r(j) = 3*j**3 + 2*j**2 + 4*j. Suppose -1 = 2*s + 5*q, -5*q + 4 = s + 2. Determine s*r(a) + 4*m(a).\nAnswer: -a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 2*s - 6. Let z be l(-3). Let y be z\/84 - ((-1)\/(-4))\/(-1). Solve -5*t - 7 - 13 = y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*i = 17612 + 5249, -2*i - 38095 = -5*v. Let s = v + -3958. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12432 - 1?\nAnswer: 12431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 5. Suppose 46 = 4*w + p - 4*p, -2*w - p = -s. What is the tens digit of ((-4)\/(-3))\/(w\/285)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161 = 3*f + 2*s, 26863*s + 448 = 2*f + 53729*s - 26860*s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11434 + 11481.032. Let d = -47 + i. Let s = 0.03 + d. What is s rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a century in years?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 6. Let y be k(-5). Let n(v) = -17*v + 2. What is the units digit of n(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -1\/2*p**3 - 1\/2*p**4 + 1\/2*p**5 + 1\/2*p**2 + 0 + 0*p = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -103?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63559 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3811412169 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 285.60597 microseconds to minutes.\nAnswer: 0.0000047600995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ty when two letters picked without replacement from yyytpyypyptp.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + ((5 - -21)*5\/5 - 6). Let v(b) be the first derivative of 0*b**2 - n*b + 0*b**3 - 34\/5*b**5 + 0*b**4 - 33. Differentiate v(u) wrt u.\nAnswer: -136*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 3 + -7 + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 34)*1\/1. Suppose -11*l + l - 70 = 0. Let h = x - l. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 91732765 divided by -109?\nAnswer: -841585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -206.068 - -206. Round k to three dps.\nAnswer: -0.068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.6317 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 866.56, 1\/60, -0.39 in descending order.\nAnswer: 866.56, 1\/60, -0.39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x - 3. Let h(b) = -7 + 1 + 0 + 28*b - 21*b. Determine -3*h(v) + 5*i(v).\nAnswer: -v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-28)*d)**(2\/27)*d*d**(-45)*d**(1\/29) assuming d is positive.\nAnswer: d**(-35933\/783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 926601?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*r + 5*x = 149*r + 19, -3*x = -6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.970615 centuries to months.\nAnswer: 7164.738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3 - 5*k**2 - 4*k - 19*k + 3*k. Let b(g) = 3*g**2 + 13*g + 2. Let w(j) = -8*b(j) - 5*x(j). Calculate the remainder when w(6) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -233*d**2 + 6*d - 38. Let c be l(-14). What is c rounded to the nearest 1000?\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 2*d + 0*d)*(0*d**2 - d**2 - d**2) + 0*d**2 + 2*d**3 + 0*d**2 - d**3 - 2 + 2 + 24*d - 10*d**3 - 24*d.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 15840*w + 84*w**4 + 86400 - 966*w**3 - 6744*w**2 - 3\/2*w**5 = 0.\nAnswer: -4, 4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -f**6\/120 + f**5\/30 - f**4\/12 - f**3\/6 - f**2. Suppose 0 = -2*t + 4*t + 4. Give y(t).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i - 20. Let j be -8*(3\/9)\/((-6)\/(-18)). Let x(d) = 10*d**2. What is the least common multiple of x(-1) and f(j)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/15*(-115)\/(-161).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 12 - 12)*(-102*g**3 + 123*g**3 + 65*g**3).\nAnswer: -2838*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 7\/3*o**3 + 0*o**4 + 60*o**2 - 1\/120*o**6 + 11\/60*o**5 + 0 + 0*o. Calculate g(11).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhxxbzhhhxzhbbbzbb. Give prob of sequence hz.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - -5. Let s(k) = k**2 + 12*k + 39. Let b(f) = f**3 + 3*f**2 + 5*f + 1. Let j be b(-2). Let m be s(j). Solve 0*o = m*o + z, 3*o = -4*y - 29 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (9 - 11 - -19) - 14\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 342 and 10328760?\nAnswer: 196246440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1368, -2628, -3860, -5052, -6192, -7268, -8268?\nAnswer: -9180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -4.7. Let y be (-28)\/(-30) - 2 - (-4)\/10. Let w = 0 - 0. Which is the closest to y? (a) 0.2 (b) w (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1923 = -i - z + 1775, -2*i + 3*z = -7391. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17848.\nAnswer: 2, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7715 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-11\/6))**(-49) assuming h is positive.\nAnswer: h**(539\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3102110 divided by 11\nAnswer: -282010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7405079 by -6.\nAnswer: -7405079\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/2 - 10\/(-20). Let k be (3 + -2)*q - -16. Suppose w - k = -4*w. What is the highest common divisor of 33 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/5*(-25)\/(-10). Let s be h*-3 + -4 + 9. Find the second derivative of -2*c**5 - s*c + c**3 - c**3 wrt c.\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three fifths of a minute?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**5\/60 + m**4\/24 + m**3\/3 - m**2. Let z be w(0). Let d(a) = 16*a - 16*a + 3*a**z. Let k(y) = y. Calculate k(d(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 560 - 4?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 858934200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 156 (b) 0.5 (c) -0.06 (d) -0.5 (e) 6 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 6.1, -0.5, 7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 - 19.1. Let h = -1 + 0.8. Which is the closest to g? (a) -5 (b) -0.3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g - 8. Calculate d(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i - 16. What is q(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1231\/5 - 246. Which is the nearest to 0? (a) -3 (b) 0 (c) 1\/2 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 5*p**3\/6 - p**2\/2 - 3*p. Let j be r(1). Suppose -j*q = -0*q - 48. Solve -b + l + 3 = 0, -3*b + 28 = 4*l + q for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -6*c**2 - 103*c. Let m(a) = a. What is m(f(z))?\nAnswer: -6*z**2 - 103*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000933806 to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3551 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 5*d**2 + 4*d + 3. Let p be r(-4). Solve 0*k - 9 = -p*z - 2*k, -2*k = 5*z - 19 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v - 153 - 2 = -795. Solve 28 - v = -4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r + 44. Let k be m(-10). Suppose -5*a = 3*l - 30, -4*l + 26 = k*a - 2*a. Find the second derivative of y + 10 + y**3 + 23 + 33*y**a + 4 wrt y.\nAnswer: 204*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10947045264 divided by 4.\nAnswer: -2736761316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3397236?\nAnswer: 2, 3, 101, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - -2 - (-34 + 49).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 33 = 5*y + 3*r, 0 = 4*r - 16. Let v = y - -2. Let x be 2\/12*36\/8. Which is the third smallest value? (a) 2 (b) x (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, f: 1, q: 1, u: 1, e: 1, s: 1}. What is prob of picking 1 r and 1 s?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4, 5*k = 3*x + 3 + 11. What is the nearest to -0.1 in x, 2\/5, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 586 by -586.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137935*x**2 + 275985*x**2 - 138062*x**2.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 421630, 1686514, 3794642, 6746014, 10540630, 15178490, 20659594?\n\"Answer: 421622*p**2 + 18*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 31, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(128\/(-12)))\/(5\/(-8))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/26 - (-1)\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -241*o + 734. Give l(4).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8.402993t?\nAnswer: 8402993000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5 = -2*u, 0*u = 5*j + 4*u - 5. Let m = -3 - -6. Let y(x) = -x**3 - 4*x**2 + 2*x + 3. Let p be y(-4). What is the closest to 1\/4 in j, m, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10200 + 2?\nAnswer: -10121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 1, -80, 0.3, 8.7755?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4, -17, -38, -67, -104, -149?\n\"Answer: -4*l**2 - l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/((u\/((u*u**(-1\/2))\/u*u))\/u)))**18)**(-1\/36) assuming u is positive.\nAnswer: u**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 757\/1004 + -2 - -2. Let v = 1\/251 - r. Let l = 5\/6 + -1\/2. What is the nearest to -1 in v, 2\/13, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 121*k - 2. Let g(n) = -n**2. Calculate b(g(f)).\nAnswer: -121*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 + d**3 + 2*d**3)*(-4*d + 3*d + 3*d) + 14170*d**3 + 134*d**4 - 14170*d**3.\nAnswer: 138*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 15 - 3*y - 8*y + 2 + y**2 + 7. Let t be p(8). Let o(u) be the first derivative of -u**3\/3 - 4*u - 3. What is o(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28168187 - 20.4145\nAnswer: 28168166.5855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*o + 1032 - 924 = 0. Solve -o*c = -5*t + 5, -3*c - 3*t = -2*t - 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -512121 (base 6) to base 11\nAnswer: -28601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(108)\/sqrt(4) - sqrt(27))\/((-3*sqrt(45))\/sqrt(5)))**2.\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1999.989l?\nAnswer: 1999989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, g: 2, r: 4, o: 6, n: 1}. Give prob of sequence gcg.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-48)\/80 - (-6)\/10. Suppose d = 5*n - 38 - 12. Let r(c) = -57*c + n + 0 + 23. Let b(f) = -7*f + 4. Calculate 33*b(p) - 4*r(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5951.6184 + -5953. What is d rounded to two dps?\nAnswer: -1.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**7\/70 + o**6\/20 + o**3\/2 - 17*o. Let w(x) be the second derivative of r(x). Find the third derivative of w(i) wrt i.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 356 + -576. Suppose m - 154 = 4*x + 243, 0 = x + 2*m + 97. Let o be h\/x - 2\/9. Solve -2*l = -l + o for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -22.000000004. What is o rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 30. Suppose -r + h = -5*r - 10, -5*r - s*h - 7 = 0. Let a = -2 - r. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 4 (b) 0 (c) 2 (d) 16 (e) -1374\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/124, -0.5, -1\/9, -4 in decreasing order.\nAnswer: 1\/124, -1\/9, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36654 and 113538.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -123.\nAnswer: -5\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 63*u - 938. Let c be n(15). Let t(z) = -z - 6. Let j be t(-8). Suppose -j*q = -q - 3. Solve -l - c = -q for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2378, 42, -4 in increasing order.\nAnswer: -2378, -4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r - 8. Calculate the remainder when g(-12) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -650*c = -660*c + 900. Suppose -c*r + 182 = -83*r. What is the greatest common divisor of 117 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (52*18\/5616)\/(10\/6)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**3 + 2301240*x**2 - 4*x - 2301240 = 0 for x.\nAnswer: -575310, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6*f = 64. What is the greatest common factor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 231 and 6132?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*x - 52*x + 90 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 25*z + 39. Determine o(23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/3 + 2)*0\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 5, 1 in increasing order.\nAnswer: 0.08, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 3) in base 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1dd91 (base 14) in base 10?\nAnswer: 76763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-30)\/(-40) - (-2190)\/(-168))\/(1\/(-7)). Calculate the greatest common factor of 2924 and s.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-918)\/(-816))\/(2\/48). Sort 2, 0, -2, k, -4 in ascending order.\nAnswer: -4, -2, 0, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1*r)**(1\/91)\/(r\/(r\/r**(-1)))**(9\/10) assuming r is positive.\nAnswer: r**(839\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 6*b**2 - 5*b + 2. Let a(o) = -7*o**2 + 5*o - 2. Let d(r) = 5*a(r) + 6*u(r). Let i = -66 + 71. Suppose -4*f = 4*c - 3 + 11, -i*c = 25. Calculate d(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18.187 - -17.787. What is the nearest to -3\/2 in c, 3\/8, -1, 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1\/2))**(2\/179)*(p*(p*p**0)\/p)**(-2\/175)*(p**(-3)*p**2\/p*p)**(3\/10) assuming p is positive.\nAnswer: p**(-19161\/62650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i**3*v + 409*i*v + 5006*i - 437222*v - 10 wrt i?\nAnswer: -3*i**2*v + 409*v + 5006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 31. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -3*y**4\/4 - 2*y**3 - 7*y**2\/2 - 4*y - 290. Suppose -3 = -3*d + 3*j, 4*j = 2*d - 7*d - 40. Is i(d) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155947147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -91173105\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11792 (base 13) to base 12.\nAnswer: 16678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -13, -0.0097324, -1\/6, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**2 + 214 + 4*r + r**2 - 109 + 4*r**3 - 104 - 33*r**3 to the form a + f*r + q*r**2 + h*r**3 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 953831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1143504 divided by 4.\nAnswer: -285876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/10*20\/3. Let o = 6 + x. List the prime factors of o\/5 - (-57)\/5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 25*v**2 + 1. Let a(y) = y + 4. Let q be a(-3). Is 13 a factor of h(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 582 = 4*s + 2*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - u**2 + 6*u + 5. Let q(d) = d**3 - d**2 + 5*d + 4. Let s be 8 - (-24)\/66*(-12 + 1). Give s*k(c) - 5*q(c).\nAnswer: -c**3 + c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34302025*f**3 + 3992537 wrt f.\nAnswer: 102906075*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 149 and 26.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10870524619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 229*t - 215*t - 2184. Calculate the remainder when 759 is divided by t.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.3 (b) -1 (c) 2912\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 15*s**2 + 9. Let x = 26 + -24. Let n(q) = -172 + 12*q**x - 4*q**2 + 177. What is -5*k(j) + 9*n(j)?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-7)*(-10)\/(80\/4)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -q**5\/5 + 3*q**2\/2 - 6*q. Find the first derivative of g(m) wrt m.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 + 0 + -5 + (5 - 2). Let o(g) be the first derivative of 2\/3*g**3 + 0*g - 2 + g**2 - 2\/5*g**i - 1\/2*g**4. Let o(n) = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -27. Suppose j*s + s = 6. Suppose -s*w + 6 = w. Solve 3*u + w*u + 10 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**5\/10 + 3*n**4\/5 + 4*n**3\/5 - 8*n**2\/5 + 6*n. What is f in d(f) = 0?\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 1394?\nAnswer: -1\/1394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - -167. Suppose -4*f**4 + 19*f - z + 12*f**2 + 205 + 13*f - 8*f**3 = 0. Calculate f.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38 and ((5 + -4)*-1)\/(2\/(-20))?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -y - y. Suppose 0 = -5*m + 21 - y. Suppose 75 = m*z - z. Solve 5*c + 0*c = -z for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-9))\/((-4)\/(-48))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 - 3*j**2 + 3*j**2 + (j - 3 + 3)*(2 - 2*j - 2) - 3*j**2 + 0*j**2 + 2*j**2 + 391387*j**2 - 208787*j**2 - 195524*j**2.\nAnswer: -12929*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2 = -2*d, d = -5*t + 59. Let j(u) = -3*u. Let y(c) = 56*c. Let g(i) = -77*j(i) - 4*y(i). What is the remainder when g(5) is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 116 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120 (base 3) to base 16.\nAnswer: f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3647, 9093, 14539?\n\"Answer: 5446*n - 1799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 2:29 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 0)*(-1619 + 1619 + 111*u + 2*u + 1 - 1 + (0 - 1 - 2)*(2*u - u - 3*u)) to w + b*u and give b.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6416028 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*g**2 + 45*g**2 - 13*g**2 - 17*g**2 + 2*g**3 + 12 to the form f*g + w + m*g**3 + b*g**2 and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((0 + sqrt(1573) - sqrt(1573)) + 2)*-2 - -4*(-1 + -6*sqrt(39)\/sqrt(3))).\nAnswer: -24*sqrt(13) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/109 in -0.5, -6, -2123, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550546 is divided by 19661.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -1360*a - 189680. Give l(-140).\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 572372171 - -960.\nAnswer: 572373131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 47 = -4*h, -558*h = -559*h - 5*k + 4 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 2\/(-4))*2. Let k(i) = -3*i**2 - 2*i - 3. Let x(g) = -g**2 - g. Let w = -5 + 7. Give s*k(j) + w*x(j).\nAnswer: j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (351\/(-156))\/(2\/(-8)). Solve -s*k + 25 = -4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*f = -38*f + 4. Let n(s) be the second derivative of 0*s**2 + 0 - 1\/6*s**f + 0*s**3 - 3*s. Let g(w) = 7*w**2. Determine g(n(c)).\nAnswer: 28*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 29. Let p = -65 + 75. Let a be ((-1)\/5)\/((1 - 3)\/p). Put a, -3, i, 5 in descending order.\nAnswer: 5, a, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 34*v**2 - 9*v + 8. Let k(z) = -z**2 + 11*z - 23. Let q be k(8). Let g be a(q). Which is bigger: 34 or g?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/328960 and 55\/144?\nAnswer: 2960640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/6)\/((-3)\/(-6)). Let v(l) = -i - 529*l + 1 + 592*l. Let q(n) = -n**2. Give v(q(x)).\nAnswer: -63*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70344, 281451, 633276, 1125813, 1759056?\nAnswer: 2532999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.5? (a) -0.012 (b) 3\/5 (c) 0.4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 4\/(-10) + -1. Let v = 0.6 + -8.6. Let g = -3 - v. What is the second biggest value in c, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**2*k - 403536*f**2 + f*k + 10163*f - k + 4 wrt f.\nAnswer: 2*k - 807072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 16*i**2 - 12*i + 29. Let r(m) = -m**3 + 8*m**2 - 31*m + 97. Let x be r(6). Calculate s(x).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, t: 8, q: 1, d: 5, v: 1}. Give prob of picking 1 q, 1 v, and 1 t.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**3*t*u**2 - 3*o**3*t*u - 30*o**3*u**2 + 10*o**2*t*u**2 - 2*o**2*u + 2*t + 10*u**2 wrt o?\nAnswer: -12*t*u**2 - 18*t*u - 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.73 and -0.008.\nAnswer: -0.01384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 6*l - 3. Let h(f) = 8*f - 3. Let p(a) = -4*h(a) + 5*r(a). Let c(n) be the third derivative of -n**4\/4 - 4*n**3\/3 + n**2. Determine 3*c(w) - 8*p(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 e when three letters picked without replacement from {u: 5, e: 5, n: 8}?\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12190752 and 959.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -y**6\/1260 + y**4\/21 - 14*y**3 + 35. Let s(d) be the third derivative of i(d). Suppose s(q) = 0. Calculate q.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/(-24) + (-45)\/360)\/(3\/32).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -815, -2726, -5743, -9866, -15095, -21430?\n\"Answer: -553*u**2 - 252*u - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 6. Suppose 0 = 2*j + g*p - 50 + 1, 4*j - 4*p - 128 = 0. Calculate the remainder when j is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0*n**3 - 71 - 19 - 11 + 0*n**2 + 38*n**3 + 4*n**2 wrt n?\nAnswer: 114*n**2 + 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**3 + 700497*z**2 + 7005303*z - 7705797 = 0. Calculate z.\nAnswer: -11, 1, 233509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4326, 8581, 12836, 17091, 21346, 25601?\nAnswer: 29856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ql when two letters picked without replacement from qspwlsdw?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17006 by 2.\nAnswer: -8503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 49997149333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18525 at most as big as 18524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 2. Let w = -22 - -29. Let x(c) = 8*c - 5. Let s(v) = 9*v - 5. Let f(r) = w*x(r) - 6*s(r). Calculate f(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 4*n + 4. Let g be d(-5). What is the third derivative of f**2 + 4*f**2 + 12*f**3 - g*f**3 wrt f?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-113)\/113)\/(3\/(-117)*-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 + 15*s**2 - 2*s + 25. Let g(q) = q**3 + 5*q**2 - q + 9. Let a(c) = 3*d(c) - 8*g(c). Let m(w) = -3*w - 41. Let l be m(-15). Calculate a(l).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by (-40)\/30*(-12)\/1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5*w = -6 + 1, -4*w + 16 = 0. Suppose 0 = -2*f - 0*f - 34. Let t = j - f. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/36*8\/20.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80102501 + 160205777 - 80103276 - 2*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -287\/6 + 48. Let f(i) be the first derivative of -2 + 1\/6*i + 1\/18*i**3 + z*i**2. Factor f(k).\nAnswer: (k + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x**4 - 5211749*x**3 + 3*x**2 - 57*x + 164113 wrt x.\nAnswer: -12*x**2 - 31270494*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 10000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255 - 259 = -2*p. Let x(s) = -16 - s**p - 2*s - 14 + 30. Give x(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 - 45*t - 23. Let a be k(23). Solve a*s = s - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2094 divide 150570349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 24804059 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + q - 120 = 0. Suppose q = s + 2*s. Suppose 10 = -5*u + s. 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: What is the highest common factor of 72 and 7020?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -145456.3965 to the nearest 1000.\nAnswer: -145000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 3*v**2 - v - 1. Calculate the remainder when z(3) is divided by (-34)\/85 + (-87)\/(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-34)\/(-3) - (-6)\/9. What is the common denominator of -19 and ((-62)\/x)\/(-2 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 6*t**2 - 5*t - 1. Let u(a) = -6*a**3 + a**2. Let s be u(1). Let j be p(s). Is 0 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 60 + 140626?\nAnswer: 140706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**5\/10 + 7*p**3\/6 - 4*p - 1. Let d(z) be the first derivative of m(z). What is the second derivative of d(q) wrt q?\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -91 + 95. Solve -8 = -0*f - h*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kokokok?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1094 = w - 4*q - 1106, -12*w + 0*q + 144 = 4*q for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.071774 + 0.0715. What is h rounded to 5 decimal places?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 290 and 35235?\nAnswer: 70470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 4:06 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0.2. Let f be ((-12)\/8)\/((-6)\/(-32)). Let k be -1 - -1 - (f + 5). Which is bigger: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*l - 272 = 78*l for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.208 and 3237465260?\nAnswer: 3237465260.208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101010110101111011101 (base 2) to base 7.\nAnswer: -41521026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 6*f + 3. Let n be h(-6). Suppose 0 = -3*s - s - n*i - 1, 4*i = -12. Factor 7*a**s - 6*a - 19*a**2 + 9*a**2.\nAnswer: -3*a*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 6*g + 2. Suppose 0 = -3*h + w + 73, -4*h + 0*w - g*w + 84 = 0. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.978 + 0.022. Sort h, -3\/7, 2\/19.\nAnswer: -3\/7, 2\/19, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60 (base 12) to base 5\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5*m - 3 + 3)*(4 - 2 - 1) - 2*m - 3*m + 3*m)*(-2 + 1 + 0)*(-4 - m**3 + 3 + 5) to the form f + b*m**2 + t*m**4 + w*m**3 + i*m and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0296 - 0.1296. What is the second biggest value in -3\/7, -3, i, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17033 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -18501*20\/(-18) - 2\/3. Suppose -g = -9*b - 3375. What are the prime factors of b?\nAnswer: 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 8*u. Let s(r) be the first derivative of 0*r**2 + 0*r - 84 + 2\/3*r**3. Give l(s(h)).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -1\/12*z**4 - 3*z + 0*z**2 + 0 + 0*z**3. Let f(h) = 4*h. Give f(j(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.13*30\nAnswer: 3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 12 - 4 = 0. Solve 0 = -4*x - z - 14 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -195, -7 in ascending order.\nAnswer: -195, -7, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i. Let j(r) be the third derivative of 179*r**5\/60 - 351*r**2. Determine j(w(p)).\nAnswer: 2864*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -54249 (b) -0.2 (c) 0.5 (d) 996 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -k**4\/28 + 102*k**3\/7 - 15606*k**2\/7 - 754*k. Let x(y) = 0. What is y?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - 2. Let c(k) = -k**2 + 4*k. Let s be c(3). Sort s, 0, l in descending order.\nAnswer: s, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17352 divided by 4338?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**3. Let v(d) = -5*d**3 + d + 1. Give -2*v(r) + 4*z(r).\nAnswer: 2*r**3 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2656 (base 7) to base 10\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -956*u**5 + 2*u**4 + 2307*u**3 - 49*u**2 - 389*u - 288 wrt u.\nAnswer: -57360*u**2 + 48*u + 13842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**6\/360 + 2*z**3\/3 + 3*z. Let k(x) be the second derivative of b(x). Let s(d) = -3*d. What is k(s(w))?\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/q**12))\/(q**(3\/8)\/q) assuming q is positive.\nAnswer: q**(109\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 8*n**2 - 16*n - 15. Calculate a(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 254.39824 rounded to two dps?\nAnswer: 254.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4029880 rounded to the nearest 100000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578640.\nAnswer: 2, 3, 5, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6025732 at least 6025732?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 679?\nAnswer: -679.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 6*g - 4. Let u(m) = -m**3 + 4*m**2 + m - 2. Let f be u(2). Let k = f + -11. Let h be q(k). Solve h*p - 25 = -5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2528?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 23 = 81*j - 86*j, 0 = 2*j - 25*r - 279 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9792*d + 2665*d + 804*d to b + t*d and give t.\nAnswer: -6323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7144260 divided by -357213\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*a + 2*a. Let b(t) be the second derivative of -1\/12*t**4 - 1\/2*t**2 - t**3 + 0 + 3*t. What is b(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3326.748012 and -4.\nAnswer: 3322.748012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4282129 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/3 and 31\/433977.\nAnswer: 433977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 5, -5, 0.07, 12, 39?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -65*m**4 + 10*m**4 + 4*m**4 - 2*m**4 + 0*m**4 + 3*m**4 + (m**3 + 0*m**3 + m**3)*(-2*m + 2*m + m).\nAnswer: -48*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/18 - 1855\/(-954). Solve g*v + v - 4 = -p, -5*p = -3*v - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75756309?\nAnswer: 3, 881, 28663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(125) + 0 - sqrt(125)) + sqrt(125) + (sqrt(125) - 5*sqrt(125)*2) + -6*-5*sqrt(125)*1)**2 + 5.\nAnswer: -220*sqrt(5) + 60506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -12. Let f = o - -6. Solve 0 = 2*y - f*y + 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 9*o**2 + 12*o - 7. Let u be c(-6). Calculate the highest common divisor of 58 and u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 1. Let v(c) = c**2 + 5*c + 14. Let z be v(-7). Let j = -27 + z. Which is smaller: j or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = 2123 + 1265. Let m = 484 + t. Suppose 0*o + 0*o**2 - 1\/2*o**4 + 1\/4*o**3 + m = 0. Calculate o.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 1. Let u(v) = 12*v + 15. Let w(b) = u(b) + 15*y(b). Let z be w(4). Let g = -4 - z. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 11*o + 5. Let y be u(-10). Let n(r) = -r + 12. What are the prime factors of n(y)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (7 - (1 + 6)) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, 2\/11, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (0 + -1)*-22. Let s = k + 26. Factor 11*d**2 + 4*d**s + d**4 - 5*d**2 + d**4 - 4*d**2.\nAnswer: 2*d**2*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m**2 - 57*m - 62. Determine y(11).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z = 11*z + 49. Suppose 0 = 12*s - z*s - 25. Is 6 at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y + 0*y - 4*y)*(-584 - 12314*y + 6157*y + 6159*y).\nAnswer: 2*y**2 - 584*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -70\/39 and 12\/247.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 3*l - 3*l)*(2 - 2 - 2) + 52020 - 52020 - 314*l.\nAnswer: -312*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*i + 731 = 0, -4*p - 3*i + 729 = p. Let z = p - -286. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 41*j - 34. Calculate b(-42).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-321 - 333 - 95)*(3*z + 0*z - 2*z)*(-3 + 3 + 2).\nAnswer: -1498*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -11642739.3 to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t**2 + 14*t + 8. Let h be d(5). Solve 0 = h*u - 5*u + 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*j - 20, -j + 0*t + 6 = -t. Suppose q + 2*c = -c - j, 4*q - 3*c = -8. Let s = 13 + q. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -20783*x**2 + 344605*x + 615*x**3 + 168*x**4 - 333*x**4 - 4432*x**2 + 160*x**4 = 0.\nAnswer: 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 667 is divided by 650.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*h - 13*h - 2860. Suppose 5*r + 2*n - h = 0, 3*n + 248 = 2*r - n. List the prime factors of r.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/89243 and 89\/38247.\nAnswer: 267729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 1534?\nAnswer: -1535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40186 = -3*u - 40195, 2*y + 5*u = 53 for y.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + (3 - 7))*2. What is the nearest to -9 in 0.2, 1\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18650\/4*(-8)\/(-4). Suppose -4*k + 0*g + 9355 = -5*g, -5*g + x = 4*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5*b + 2. Let z(j) be the second derivative of -11*j**3 - 27*j**2\/2 - 6*j - 2. Let v be -18*(2 - 1\/2). What is v*r(y) - 2*z(y)?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26210808313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 p, and 1 o when three letters picked without replacement from {o: 3, l: 2, p: 1, j: 5, x: 1, q: 3}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 5*j - 35. Suppose -22*a + j*a + 44 = 0. Suppose -6*h - 5 = -a. Solve 2*r + h - 5 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 5*z + 4*m - 20, 0 = 2*z - m. Is 29\/3 - z\/3 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**10)\/d**2)\/(d**(-8\/7)\/d**7) assuming d is positive.\nAnswer: d**(-13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2270*f + 100*f**3 - 1125*f - 1145*f.\nAnswer: 100*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 7*o + 3. Let k(t) = -6*t - 2. Let w(s) = s**2 - 6*s - 58. Let h be w(11). Determine h*n(m) - 4*k(m).\nAnswer: 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.130048 + 0.13. Round q to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 196 and 35182.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 88652150 by 1.\nAnswer: 88652150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 2 = -5*m, -m + f + 3*f - 14 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72032 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 9, u: 11}. What is prob of sequence ub?\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.075 - 0.574. Let i = 1.500999089 - q. Round i to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 244, 483, 720, 955, 1188, 1419, 1648?\nAnswer: 1875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 108 = -178. Suppose -5*b - 4*a = -26, -b + 0*b - 5*a = -22. Suppose 0 = 4*g - 20, -16 + 0 = b*j + 2*g. Which is smaller: j or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 6*q. Suppose -4*f - 2*b = 3*b, 5*b = 3*f. Solve f = 4*i + 5*w + 38 + 7, 3*i + 3*w + 30 = q for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*x + 2*x - 72 = 0, 4*x - 42 = -2*b. Calculate the highest common divisor of 341 and b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -93.408 + -0.592. What is the second biggest value in 4, z, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/(-6 + -2 + (-532)\/(-66)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(120)\/sqrt(2))\/sqrt(5) + sqrt(12) + sqrt(12) + sqrt(192)*-2)\/(1*sqrt(576) + -5*sqrt(16)).\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 51.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 73892096 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -69495245 != -69495244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(17)*-2 + 4.\nAnswer: 4 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 4. What is the remainder when 34 is divided by h(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-1 - -3) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44933088989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2527796?\nAnswer: 2, 59, 10711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0244028765 to four decimal places.\nAnswer: -0.0244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 105 - 13?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -241 - -4?\nAnswer: -23c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9*(-1)\/12*4)\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1273*z = -2317 - 9140 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 8345688?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -481 + 493. Let n be ((6\/(-30))\/(-1))\/((-3)\/z). Let h be 5\/12 - 2\/3. What is the closest to 4\/13 in n, h, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q*r**4 - 11*q*r**3 + 192*q*r**2 + 6564*q*r + 257842*r**4 - 2*r**2 - 2*r wrt r?\nAnswer: -24*q*r - 66*q + 6188208*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00187568 rounded to four dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, p: 2}. Give prob of picking 3 q.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.98 + -0.18. Let l = v - -8.2. Let w = -9.45 + l. What is w rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*n**2 + 36 - 126 + 90.\nAnswer: 22*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 397613?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -356921428*o - o**2 - 2*o**2 + 356921428*o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/24228000 and 57\/5384000.\nAnswer: 48456000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110010220000 (base 3) to base 14.\nAnswer: -457b3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**4 + 72856*l**3 + 331239412*l**2 - 4648067088*l + 16280739216.\nAnswer: 4*(l - 7)**2*(l + 9114)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211003 + 30213033?\nAnswer: 31030102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 1155 = -2*b + 1139, 5*u = -255*b - 755 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 651 = -10*a. Let i = a + 776. What is the highest common divisor of 25 and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4281750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10911?\nAnswer: 3, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.22.\nAnswer: 0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -61+-96\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*sqrt(190)\/sqrt(5))\/sqrt(2) + 4 + (-2 + sqrt(475) + 0 + -3)**2 + -5).\nAnswer: -2495 + 245*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 0 + 30 + -20?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.96 - -0.04. Let g = b + -2. Let v = g - 0. What is the biggest value in -5, v, -1\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -9. Let b(a) = 678*a + 0*a**2 + 3 + 65*a**3 + 0*a**3 - a**2 - 679*a. Is 33 a factor of b(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**3\/2 - 510361*z**2\/2 = 0?\nAnswer: 0, 510361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 = -5*n + 5*f + 111, 3*f + 15 = 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + sqrt(1300)))**2 + 1 + sqrt(1300)*-1 + (sqrt(91)*-2*-2)\/(sqrt(63)*-2).\nAnswer: -32*sqrt(13)\/3 + 11701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4505*i**2 - 6*i - 1546889 wrt i.\nAnswer: 9010*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 21 + 32 + 3 - 5*v - 9.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**5 - 15*q**4\/2 - 55*q**3\/3 - 15*q**2 + 34. Factor j(l).\nAnswer: -5*l*(l + 1)*(l + 2)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + t + 24 = 0. Solve b = -2*z + t*z - 1, 0 = -z for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17318 + -185?\nAnswer: 17143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 16*q - 96. Let y be r(7). Suppose 17 = a - 3*o, y*a - 19*a = -4*o - 26. Solve -a*p + 0 - 4 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of -11*x**5\/10 - 31*x**2\/2 + 9*x. Find the first derivative of j(c) wrt c.\nAnswer: -66*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 4, -5, -3, -35 in increasing order.\nAnswer: -35, -5, -3, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -36 - -45. Let j(u) = 12*u - u + 4 - w*u + u + u**2. Calculate j(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5030 = -5*x, -4*x + 4040 = -0*x + 4*p. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 + 9421?\nAnswer: 9431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 698574?\nAnswer: 2, 3, 173, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.4, 7, -1.\nAnswer: -1, 3.4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/4)*s*s*s*s*s\/(s*s**(2\/3))*s)\/(s**(-1\/3))**(-3\/20) assuming s is positive.\nAnswer: s**(53\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-1*(sqrt(1088) - (-2 + sqrt(1088) + (sqrt(1088) - 2*sqrt(1088)) + sqrt(1088) + sqrt(1088))).\nAnswer: -48*sqrt(17) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 - 24. Suppose -16*o = -k*o + 4. Suppose 2*r = -o*r + 164. What are the prime factors of r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 - 287*m**2 - 1749*m - 2637.\nAnswer: (m - 293)*(m + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -43.1 and -2.\nAnswer: 86.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (3 + -1) - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = f - 151, 2*f = -2*p + 59 + 3. Calculate the greatest common divisor of 20 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49077036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1147702891 to the power of 1\/2, to the nearest integer?\nAnswer: 33878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 + n - 4. Let x(z) = 7*z**2 + 4*z - 11. Let h(v) = -8*o(v) + 3*x(v). Let j(g) = 11*g**2 + 7*g - 2. What is 7*h(c) - 3*j(c)?\nAnswer: 2*c**2 + 7*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -h**8\/672 - h**7\/105 - h**6\/40 - h**5\/30 - h**4\/48 - h**2\/2 + 2. Let g(p) be the second derivative of f(p). Factor g(c).\nAnswer: -c*(c + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**3 - 13*f**2 + 111*f - 4. Let j be w(9). What is the highest common factor of 168 and j?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10341334 (base 5) to base 8.\nAnswer: -260153","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: (-702)\/(-156)*(8\/2)\/(2325\/25)\nAnswer: 6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 x when two letters picked without replacement from uxxxxuu?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - a + 2785 = 1114, 4*q - 6674 = -2*a. Suppose 4*r - 11*r = -q. List the prime factors of r.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -10*t**6\/21 + 292*t**5\/7 - 7202*t**4\/7 + 16936*t**3\/21 - 1682*t**2\/7 + 27*t. Solve g(l) = 0.\nAnswer: 1\/5, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3037*r - 3041*r = -5*v + 300432, -6*v + 3*r + 360513 = 0. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1296 and 4?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 8*i - i)*((0*i + 0*i + i)*(1 - 2 - 1) + (i - 2*i + 3*i)*(1 - 5 + 3) + 11*i - 23 + 23).\nAnswer: -70*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-7 - -5) - 10 - -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 143146 from -1390.\nAnswer: -144536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -97, -3, -4 in descending order.\nAnswer: -3, -4, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 44466039 - 32?\nAnswer: 44466007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2368 divide 937807338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 270482024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(126))\/(sqrt(21)\/sqrt(27)).\nAnswer: -18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**5\/15 + 848*w**4\/5 - 186326*w**3\/3 + 5091448*w**2 - 310245576*w\/5 - 336014208\/5 = 0. Calculate w.\nAnswer: -1, 16, 93, 582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.932 rounded to 1 dp?\nAnswer: 28.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -4*z + 2*f, -3*f = -3*z + 6*z - 48. Suppose z*w = -43 + 163. Does 11 divide (-22)\/(-5)*220\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -15*p + 162. Let x be h(8). Is 8 + 197952\/x + 1\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 27 - 31 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*w + 541 = o, o - w = 543. Is o a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -193 + 176.6. Let t = 70710334 + -70710317.5999644. Let f = t + y. Round f to 6 decimal places.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 189 = -0*o. Solve -81 - 8*a - a + o*a - a**2 = 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 9*s + 8. Let v be n(6). Suppose -j = 4*d - 16, -d + v = 5*j + d. Solve -j = 3*a - 0*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 6*w - 27 = 0. Let d(y) be the first derivative of -1\/10*y**4 + 2\/15*y**w - 1 + 0*y + 0*y**2. Factor d(f).\nAnswer: -2*f**2*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 7*a + 2. Let h be (-2 + 1)\/((-8)\/16). Let l(i) be the first derivative of 1\/3*i**3 - 2*i + h - 3*i**2. Calculate 5*l(b) + 4*o(b).\nAnswer: b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 639*j + 3864. Calculate the remainder when 6689 is divided by m(-6).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 x when three letters picked without replacement from {l: 6, x: 6}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -750 and 9482.\nAnswer: -7111500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14772 divided by 14632.\nAnswer: -3693\/3658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333209683.\nAnswer: 333209683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1488 and 35216?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37530990 and 2214.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -335.663345367 - -43\nAnswer: -292.663345367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 13307 = 5*a + 5*n, -6*n + 40047 = 3*a. What are the prime factors of a?\nAnswer: 13337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*z + 1083 = 0, 2 = z + 4. Let x = -95 + n. Suppose 3*r - x - 48 = 0. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1528812, 3057626, 4586440?\n\"Answer: 1528814*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + o + 529 = -3*z, -o + 135 = 2*z. Suppose -4*a + 159 = 195, 3*r - 3*a = 66. Calculate the remainder when o is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-4) - (-5 + 132\/16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/7 + 50*f\/7 - 5412\/7.\nAnswer: 2*(f - 41)*(f + 66)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = n. Suppose -8*t + 35 = -3*t. Suppose t = 3*b + 4. Are n and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/1*(((-8)\/39)\/2)\/((-180)\/135)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 282 = -0*w. Let x be (w - -4) + -5 + 4. What is the highest common divisor of x and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 - 1.5. What is the closest to u in -3, 0, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -266, -441, -614, -785, -954?\n\"Answer: c**2 - 178*c - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**3 - 53 + 1 - 20*y**2 - 8 - 62*y = 0.\nAnswer: -5, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 a factor of 9081576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u - 27 = -11*u. Let q = 32 - u. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114014.\nAnswer: 2, 109, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, -4, -91.\nAnswer: -91, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -a510?\nAnswer: -a510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 g when two letters picked without replacement from hhhcgqhhychyuhg?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 10:35 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8485555 to the power of 1\/3, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 1. Let m be c(2). Let u = 8 + m. What is the remainder when 8 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(-1\/3)))\/m**(-5)*m**(2\/3)\/(m\/m**(-2\/5))*(m**(2\/5))**(-4\/5)*(m**(2\/9)*m*m)**(5\/17) assuming m is positive.\nAnswer: m**(16321\/3825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 32*w = -28*w + 4, -w = 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -195478*(-7)\/35 - 6\/(-15)?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/2 - 149637*a\/2 + 149631.\nAnswer: 3*(a - 49877)*(a - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6 = -5*a + 8*a. What is the fourth biggest value in -0.1, a, 0.1, -31, 6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0)**(-32)*(c**(-5)\/c)\/(c**(-2)*c)*(c\/c**(2\/7)*c)**(-29)*(c*c**(-2\/7))**4 assuming c is positive.\nAnswer: c**(-363\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u - 16*u - 29*u - u**3 to the form w*u + z + n*u**2 + i*u**3 and give w.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/1 + 133\/(-114)*-18 + -24. Let s = -0.8 - 0.2. What is the nearest to -0.1 in m, s, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 135, -1, 392, -3, 4 in descending order.\nAnswer: 392, 135, 4, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -14*z**3 - 2*z**2 + 5*z - 4. Calculate l(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 3*n**2 - 3*n - 4. Let x(j) = -2*j**3 - 5*j**2 + 5*j + 7. Let f(y) = -y**2 + 8*y - 5. Let q be f(5). Determine q*h(a) + 6*x(a).\nAnswer: -2*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -67620 times 348?\nAnswer: -23531760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 + 19287*b**2 - 8050680*b + 869602800.\nAnswer: -3*(b - 5989)*(b - 220)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 892171.39 rounded to the nearest 10000?\nAnswer: 890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 5, 0 = 5*p + 133*s - 135*s + 2. Solve p = -229*j + 222*j + 35 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/2)\/((-15)\/(-3775830)) + -2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 2*l + 4. Let n be q(3). Let v = -0.7 - 0.3. Let u = -0.3073 - 0.0927. Which is the nearest to v? (a) 2\/9 (b) u (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31353?\nAnswer: 3, 7, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10757\/6 - -1777. What is the common denominator of d and (-519)\/(-72) - 7\/(5 + 2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*p - 13*p + 370 = 0. Suppose 4*m - 2 = 6. Suppose -p = 5*b, r + m*b - 2 = -0. Calculate the smallest common multiple of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 725.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 5*k + 5*r, -154*k + 150*k + 3*r + 27 = 0. Solve 4*c - k - 31 = -4*s, 2*c = -s + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8149*o + 478 + 68 = -8128*o for o.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2019139012?\nAnswer: 2, 11, 487, 94229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(864)*-4)\/((2*(-2*sqrt(96) + sqrt(96)))\/(sqrt(12) + sqrt(12) + (sqrt(12)*2*1 - sqrt(12)))).\nAnswer: -432*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309887359.\nAnswer: 19, 29, 562409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 18165 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b - 7*b**3 + 14*b**3 + 7*b**3 + 2*b wrt b?\nAnswer: 84*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 7:58 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4)*(-130)\/195.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -193, -197, -201?\n\"Answer: -4*w - 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33421, -33420, -33421, -33424, -33429, -33436, -33445?\nAnswer: -33456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 4*o + 2*o = 0. Suppose -6 = -2*i, -4*l - i + 2*i + 41 = o. What is the lowest common multiple of 6 and l?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 3 + 51. Solve 0 = -4*i - 3*u - 31, 3*i + 6*u = 3*u - j for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*r, r + 3*r = -2*s - 26. Sort s, 5, 270 in decreasing order.\nAnswer: 270, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*a**3 - 18*a**3 + 31*a**3)*(-2*a - 3*a + 2*a) to h*a**3 + u*a**4 + b*a**2 + j + l*a and give u.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -150 + 156. What is the highest common divisor of t and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 15. Suppose -w - 2*x = -6*w + 10, -w + x = 1. What is the second derivative of -l - l + l**4 + l - i*l**w wrt l?\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 10. Let g be u(-10). Suppose g*y - 5 = -2*c - 3*y, -20 = -4*y. Let f(k) = k**3 + 6*k**2 + 6*k + 7. Determine f(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/7 at least as big as 128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p - 9. Let j be z(3). Let v = 8 + j. Is 9 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(sqrt(6) + sqrt(30)\/sqrt(5)) + 1 + (0 + sqrt(17) + -4 - 2*sqrt(2057))**2.\nAnswer: 337*sqrt(17)\/2 + 7514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 u, and 1 w when three letters picked without replacement from {w: 2, q: 1, p: 3, z: 6, u: 2}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15503413 is divided by 968963?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -13130123 (base 4) to base 10\nAnswer: -30491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1088, -13, 3, -3, -5, 6.\nAnswer: -1088, -13, -5, -3, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 896074875.\nAnswer: 3, 5, 193, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -45 + 2 - (307 - 391)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5\/2, 1, 7\/8, -4.\nAnswer: -4, -3, 7\/8, 1, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3231 = h + 3*f + 377, -11425 = -4*h - 3*f. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d - 6*d - 12*d = 350 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3520 = -w + 6*w. Let g = w - 702. Put g, 6, -2\/3, 1 in ascending order.\nAnswer: -2\/3, 1, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175959919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/11))**(-19\/3) assuming j is positive.\nAnswer: j**(-19\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (7 - (-1 + (0 - -3))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -7*f**3 + 13*f**2 - 6*f + 10. Let x(d) = -5*d**3 + 12*d**2 - 4*d + 9. Let u(b) = -2*w(b) + 3*x(b). What is u(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 29247, 34417, 43035, 55101?\n\"Answer: 1724*u**2 - 2*u + 27525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.35 + -0.05. Let m = -159 - -157. Which is the third biggest value? (a) 1\/10 (b) m (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*p - 712 = 12*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k - 25 = 19*k. Suppose 2*d - 8 = -q + k*d, q - 3 = -2*d. What is the first derivative of q - 2 + 0 - 3*r wrt r?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**3 - 18*b**2 - 81*b = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 174*-3\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -7*m**6\/3 + 65*m**4\/2 - 195*m**2\/2 + m - 627. What is the second derivative of w(s) wrt s?\nAnswer: -280*s**3 + 780*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 19338, 38674, 58008, 77340, 96670?\n\"Answer: -l**2 + 19339*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17380 + 17380 + 2752*n)*(2 + 5 - 3 - 4 - 2 + 4 + (-2 + 0 + 4)*(-1 + 4 - 2) + 3 - 4 + 3 - 1 - 1 + 0)*(0*n + n + 0*n).\nAnswer: 11008*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 18*w = 88575. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20 + 7c58a?\nAnswer: 7c56a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 92\/1785 and 2\/5817.\nAnswer: 494445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2.68446579505+0\nAnswer: 2.68446579505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*z**2 + 460\/9 + 26\/9*z.\nAnswer: -2*(z - 23)*(z + 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b**2. Let g(w) = 2*w**2. Calculate a(g(l)).\nAnswer: 20*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 != 28821?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4319325 and 864?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of 43*o**5\/20 - 633*o**2\/2 + 267*o. Find the first derivative of q(g) wrt g.\nAnswer: 129*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 - 1 - (-2 + (-14 - -14 - -7)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3*(sqrt(68) - sqrt(68)*-3) + (sqrt(68) - (sqrt(68) - (1 + sqrt(68) - sqrt(68))*2)) + -1)**2.\nAnswer: -288*sqrt(17) + 9828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66338*p + 66366*p - 448 = 0. Put 5, p, -1, 47, -2 in ascending order.\nAnswer: -2, -1, 5, p, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86418766 to the power of 1\/2, to the nearest integer?\nAnswer: 9296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 166.74 or -0.119?\nAnswer: 166.74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -170, -689, -1554, -2765?\n\"Answer: -173*n**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, 5, -3\/5, -1\/2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 11:23 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 6*b**3 - 5*b**2 - 5*b + 554. Let g(z) = -7*z**3 + 6*z**2 + 6*z - 556. Calculate 5*g(o) + 6*q(o).\nAnswer: o**3 + 544","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 3:50 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 520 - 520 - 3*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1803.1 and 0.032.\nAnswer: -1803.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 4 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1284 + -1281. Which is the closest to -6? (a) -1\/3 (b) 12 (c) t (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2363.5 rounded to the nearest ten?\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35188 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uucc. Give prob of picking 2 u.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2177b (base 15) to base 14.\nAnswer: -2aa60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2*h**2 - 1 - 10 + 15 + 9.\nAnswer: -2*h**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*1\/6*(-6)\/(-2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 1905.92, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3337*368.\nAnswer: -1228016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17 (b) 0.11 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 6, -3.21, 0.3, 8, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 35759 (base 12) to base 9\nAnswer: 118586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 + 8*i - 23. Determine a(-8).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3009 + 8317*r**3 + 326*r**3 + 3009.\nAnswer: 8643*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/966 and 37\/1932?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1983 is divided by 207?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (36 - 8) + -30 + 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1789, 3639, 5621, 7807, 10269?\n\"Answer: 12*u**3 - 6*u**2 + 1784*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 97\nAnswer: 5\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (40\/(-5) + 7)*1*-5. Let m = 260 - 255. Solve 9 - 2 = -m*q + s, -2 = -w*q + 4*s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*c + 38*c + 38*c)*(11 - 15 - 17).\nAnswer: -2079*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g + 3 - 6 + 1)*(-68 - 789*g - 39 + 779*g) to z + l*g**2 + j*g and give l.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/3648 and -31\/30?\nAnswer: 18240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (-14)\/(-3) - 3. What is the third smallest value in -0.5, -4, 0, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffol when four letters picked without replacement from lfeoofleoofeoeeol.\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - -1 - 7 - -1. Let w be h*((-12)\/(-10) + -2). Suppose -2*s + m + 26 = 0, 2*s - 3*m + w = 22. Solve l + s = -3*u, -4*l + l = 4*u + 25 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**3 - 6*u**3 - 5*u**3 + (179 + 7*u - 179 + (5 - 4 - 3)*(0 - u + 0))*(-u**2 + 0*u**2 + 2*u**2) + (-2*u**2 - 3 + 3)*(u + u - u).\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at least as big as 6\/63560149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 667 + -439. Let t = 78 - 45. What is the remainder when y is divided by t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 73*t**2 + 14*t + 782. Let k(x) = 30*x**2 + 6*x + 391. What is 7*k(b) - 3*p(b)?\nAnswer: -9*b**2 + 391","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74 + -74.1. Which is the nearest to -2? (a) y (b) 4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 157.8 + -145. Let h = -13 + q. Which is greater: h or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*h - 289 = 1003 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 152*u**2 - 5469*u - 267. Calculate t(-30).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5 = 0, 8*s + 3*x = 11*s + 9. Let v = -93 + 96. Sort 0, s, v, -7 in decreasing order.\nAnswer: v, 0, s, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 8 - 1 = 0. Suppose -2*k + 5*k = v. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0 = 5*l - 2, 3*l + 4*b = -10. Let d be (-8)\/(-44) + l\/(-11). Suppose -7*i + 2*i - z = -98, 2*z + 4 = d. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4))**(-10\/7))**(-1\/5) assuming f is positive.\nAnswer: f**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2987.\nAnswer: 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 4 - (-8 - -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.02 - 15. Let j = x + 0.28. Let g be (22\/(-77))\/(15\/7). Which is the third smallest value? (a) g (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 4:38 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 2*y**2 - 20*y - 11. What is z(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 434591355?\nAnswer: 3, 5, 11, 71, 37097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**5 + 192*r**4 + 2292*r**3 - 568*r**2 - 6528*r + 4608 = 0.\nAnswer: -24, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.99 - -3.04. What is the biggest value in -1\/13, -0.1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(3) + sqrt(18) + (sqrt(22)\/(sqrt(44)\/sqrt(4)) - sqrt(2)) - sqrt(4)\/(-1*sqrt(162)))**2.\nAnswer: 6050\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2100724369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0261 rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1175250948 and 3636.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-64)\/(-1) - (-9 - -11). Suppose -m = -9*j + 226. Calculate the greatest common factor of 184 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 6*r + 2. What is z(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 15*q + 2. Let b be h(-15). What is the remainder when 116 is divided by (0 - 24 - b)*(-9)\/6?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/8 of a millennium?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r**2 + 3*r + 28. Let i be w(10). Let b = i - 190. List the prime factors of b.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*r + 136*r + 7 - 69*r.\nAnswer: -r + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/4725 and -67\/2625.\nAnswer: 23625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -67473703*b + 73332803.\nAnswer: -67473703","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004194658 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -26. Calculate the common denominator of ((-106)\/(-60))\/(4\/(-6)) and 57\/w + 9\/(-12).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38486 and 4530352?\nAnswer: 31712464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -601*g**3*w + 51*g**3 - 1251*w + 824 wrt g?\nAnswer: -1803*g**2*w + 153*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 8*s = 6*s - 9, 18 = 2*y - 5*s. Let j be 12\/6 - y - -25. Solve 5*q + j = 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 7*v**2 - 7*v + 8. Let d be x(-6). Suppose 0*m + 14 = -2*m - w, 2*m - w = -d. Let o(y) = y**3 + 7*y**2 + y + 5. What is o(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -n**7\/168 + n**6\/360 + n**5\/60 + n**4\/24 + 8*n**3\/3 - 4. Let s(a) be the third derivative of l(a). What is s(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/2882452 and -117\/48944?\nAnswer: 80708656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 31114201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 117 - -4?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -101.241729 rounded to 2 dps?\nAnswer: -101.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39773363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t - 6*t - 4*t**2 + 7 + 4*t**2 + 3*t**2. Is q(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -271 + 85?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 8:35 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 807? (a) 5 (b) 0 (c) -2\/3 (d) 4 (e) -1\/6 (f) -189\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59092*j**2 + 4*j - 255957*j**2 - 4*j + 2 + 2*j.\nAnswer: -196865*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-3))\/(-2) - -742. Let i = y + -90. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*x + 936 = -41*x. Find the third derivative of -468*n - 2*n**5 - 16*n**2 - 18*n**2 + 12*n**6 + x*n wrt n.\nAnswer: 1440*n**3 - 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1537929?\nAnswer: 3, 170881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 753*n - 11356. Give p(21).\nAnswer: 4457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -96 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**3\/9 - 1772*a**2\/9 - 387128*a\/9 + 795664\/3 = 0. What is a?\nAnswer: -446, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/5*-1*(-30)\/4.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 16*z + 1. Let m(i) = 8*i + 1. Let u(b) = 13*m(b) - 6*v(b). Let o(s) = s + 1. Let r be 1*(4 - 3)\/(-1). What is r*u(c) + 6*o(c)?\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-146*x**2 + 299 + 147*x**2 + 120) + 3*x**2 - x**2 - 4*x**2.\nAnswer: -4*x**2 - 838","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6537, -26040, -58533, -104016, -162489?\nAnswer: -233952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*g + v = -306*g + 20, -3*g = 3*v + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 182684763587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 5, -89, 29?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -6 + -14 + 4 + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 5, -22 in increasing order.\nAnswer: -22, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 6*c**2 - 6*c - 6. Let s be (-14)\/35*(-180)\/(-12). Determine v(s).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 37, 92, 167, 262, 377, 512, 667?\n\"Answer: 10*w**2 + 25*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 4 - 8, -4*t - 3*d = -41050. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24957152 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tkutttkukttkktk. What is prob of picking 2 u?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6\/5)\/t**(-10))\/((t\/t**4)\/t)**33 assuming t is positive.\nAnswer: t**(704\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8360 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1009293 and 5382896?\nAnswer: 16148688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-23)\/x**(2\/17) assuming x is positive.\nAnswer: x**(-393\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 2*k**2 - k. Let r be o(-1). Let h(y) = y + 5. Let p be h(-5). Factor r*m - 1\/2*m**3 + p - 1\/4*m**2.\nAnswer: -m**2*(2*m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12627755*c - 71458762 wrt c?\nAnswer: -12627755","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -1\/5 (b) -0.4 (c) -33 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 1\/6 (b) -2\/7 (c) -46\/277\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -32*j**4\/3 + 146941072*j**3\/3 - 168685026114242*j**2\/3 + 28114161835224*j - 3514269846744 = 0.\nAnswer: 1\/4, 2295954","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-3)\/(-9))\/((-3)\/(-666)))\/1. Let t = -45 + x. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03662 to 3 dps.\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n + 7*n = -20*b - 100, -5*n - 20 = 4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 12*w**2 + 52*w + 106. Give q(-2).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33345694441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*b - 125, -b - 3*t + 8 = -2. Let r be (0\/2)\/(-1*1). Suppose r = -4*g + b - 9. Solve -5 = -3*z + 2*m, g*z + 0*m = -3*m + 18 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -21 - (9 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -14. Let r be (1 - (-8)\/(-6))*-9. Solve l = -r*t - 9, -5*v - 4*t + 4 = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 0*y**4 - 3\/5*y**5 + 0 - 4*y**2 + 1\/3*y**6 + 0*y**3 + 0*y. What is the third derivative of z(l) wrt l?\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 36*t + 6 - 80*t + 40*t - t**2 + 2*t**2. Let f be w(2). Factor 2\/5*s**f + 4\/15*s**3 - 8\/15*s - 8\/15 - 2\/15*s**4.\nAnswer: -2*(s - 2)**2*(s + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x - 20*x + 3*b + 10 = 0, 0 = 2*x - 4*b - 24. What is the greatest common factor of x and 1936?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*u = 60*u - 1638 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/22 - (-96)\/660. Does l = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -222663340, -222663339, -222663338?\n\"Answer: a - 222663341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*t - 312 = -11*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) + (sqrt(10) - sqrt(10)*-1*3))\/((sqrt(60)\/sqrt(4))\/sqrt(3)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aoyo when four letters picked without replacement from {h: 1, z: 3, o: 4, a: 4, y: 1}.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 175664713 to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3655156 = 12*q - 2*q + 585246. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 6*b - 8. Let y be p(-6). Let n = 8 + y. Suppose n*q - 24 = -2*q. Solve q = -4*m - 0*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -8 (b) -5 (c) 124\/7 (d) -0.4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8668022 divided by 85822?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -15812578 divided by -4\nAnswer: 7906289\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.821672ng to kilograms.\nAnswer: 0.000000000005821672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 2*h**2 + 13*h - 8. Calculate q(-6).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/8625 and 44\/525?\nAnswer: 60375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 73 in descending order.\nAnswer: 73, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 25*p - 100. Let f be u(4). Let a(j) be the third derivative of 8*j**2 + 0*j**3 + 1\/1020*j**6 + 0 + f*j + 0*j**4 - 1\/510*j**5. Factor a(k).\nAnswer: 2*k**2*(k - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 434 (base 6) to base 4.\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 + 963172*v**3 - 970453*v**3 + v**2.\nAnswer: -7281*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + -1 + sqrt(99))**2 - 3*(0 + sqrt(11)) - -2*((sqrt(11)*-1 + sqrt(11))*-1)**2.\nAnswer: -15*sqrt(11) + 397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -235*y - 252. Let s be q(-15). Let d = s + -1705. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(75) + 1)*2 - sqrt(75) - sqrt(75) - sqrt(75)) + (sqrt(75) - 2*sqrt(75)*-3))**2.\nAnswer: 360*sqrt(3) + 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3132 + -1122?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, b: 1, l: 5, r: 1, n: 2}. Give prob of sequence br.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.02, 2\/5, -15, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -20, 0.2, -19.39?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -3*m + 24*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29045285.\nAnswer: 5, 1213, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -20\/9 (b) 11\/12 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 13*i**2 - 39*i - 14. Let x be m(6). Solve x*d - s - 25 = 0, 2*d + 3*s = s for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002090313 to six decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -3*m**5\/10 + m**3\/6 + m**2\/2 + 3098*m. What is p(-2)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -68.331.\nAnswer: -65.331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rsrhrxc. What is prob of sequence rhxr?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 1198*q - 3. Is m(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -3*j**4\/4 - 3*j**3 + 7*j**2 - j + 36. Is x(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32*h**4 - 6*h**2 + 25*h**2 - 8*h**4 + 14*h**2 wrt h.\nAnswer: -960*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6722188.79 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2475*p + 44502. Calculate g(18).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -639 + 644. Sort -0.4, -5\/4, b, 14 in descending order.\nAnswer: 14, b, -0.4, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -49, -64, -79, -94?\n\"Answer: -15*a - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**4\/2 - 49*p**3 - 897*p**2\/2 - 734*p + 1232 = 0. Calculate p.\nAnswer: -88, -7, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*a - 3*a - 6*a**4 - 4*a - 8*a**4 wrt a.\nAnswer: -168*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -3. Suppose 3*m - 19 = -g, -2*g - 17 = -6*m + m. Suppose g*l = 21 - 9. Solve 8 = 2*j + 4*n, 5 = l*n - d for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 3:12 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 + 3*h. Let m(n) = -23*n**3 - 13*n**2 - 3*n. Give m(z) + t(z).\nAnswer: -23*z**3 - 11*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -178 + -67. Let g = -165 - o. What is the highest common factor of 10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + c - 5. Let q = -18 - -11. Let d be 8\/(-3 - q - 2). Let j = d + -4. Determine l(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 14 = -1869*g + 1871*g, -13*g - k = 106 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.374 - -710.374. Let l = f + -709.1. What is the nearest to 1 in l, 1, -6, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 355 or 356?\nAnswer: 356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30917 is divided by 30191.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -31352 - -5.78?\nAnswer: -31346.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 211?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1200) - (sqrt(1200) + (sqrt(1200)*-2 + -4)**2) - (sqrt(1200) - (1 + sqrt(1200))**2*-1) - (6*(sqrt(1200) + (0 + sqrt(1200))*1))**2.\nAnswer: -178817 - 380*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4034542 and 214.\nAnswer: 4034542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -103 in -5, -3, -68, 0.4, 4?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/17)\/t**(1\/2))\/((t**(1\/6)*t**2)\/(t**(-3\/5)\/t**5)) assuming t is positive.\nAnswer: t**(-2153\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 16 = -2*w, -g + 4*w - 28 = -2. What is the nearest to 0.2 in 88, g, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 3*u**2 - u. Let y be r(-3). Suppose -5*h = -4*h - 4*o, 4*h - 19 = -y*o. List the prime factors of ((-9)\/h)\/((-6)\/16).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160768498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 422.81 to zero decimal places.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, f: 1, j: 3, e: 3, p: 2, t: 7}. What is prob of sequence pl?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21532958 divided by 2.\nAnswer: -10766479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 200120260 and 2440.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rnta when four letters picked without replacement from {a: 7, i: 1, n: 1, t: 3, r: 3, z: 2}?\nAnswer: 3\/2720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12604, 25207, 37812, 50419?\nAnswer: 63028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*i - 5*i - 4776 + 58656. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((5*(sqrt(16)\/sqrt(8))**2 - sqrt(2)) + (sqrt(50) + sqrt(2))**2 + -2)*-4.\nAnswer: -16*sqrt(2) + 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f**3 + 3*f**2 + f + 5. Let o(l) = -9*l**3 + 7*l**2 + l + 11. Let t(m) = -5*i(m) + 3*o(m). Let u be t(3). Solve 0 = 3*n + u*n + 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 374 and 187?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -128.3 - -128. Let l be (-6)\/(-171)*3 + 0. Let o = 5\/133 + l. What is the smallest value in 2\/11, a, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 180 = -b, -5*r + 2*b + 300 = b. What is the highest common factor of r and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26.39 - 26.09. Let l be (-111)\/(-39) + 24\/156. What is the fourth smallest value in f, -2, l, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/(-8)*12\/24 and 3\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/25 of a tonne?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) - 3*sqrt(1053)*-1) + 3*(0 + sqrt(1053)) - (-1 + 1 + (-1 + -1 + sqrt(1053) - sqrt(1053))))**2.\nAnswer: 252*sqrt(13) + 51601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 124317\/3762 - (-1 + 35 + -1)\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 + -1 - (8 + -9). Let g be (a\/2)\/(2\/(-4)). Suppose r + 24 = g*r. Solve -6 = 4*o + r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 + 42. Let y = i + 27. Is y less than or equal to -8\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**3 + 2*x**2 + 1. Let s(k) = -2*k**3 - k**2 - 10 + 3*k**3 + 11 + k**4. Let a(p) = -l(p) - 2*s(p). Differentiate a(u) with respect to u.\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m + 308 + 11 = -15*m. Put m, 0, -12, -1 in decreasing order.\nAnswer: 0, -1, m, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 4*o - 5*b, 0*o - o = -5*b - 31. What is the remainder when 36 is divided by (-4 + (-18)\/(-4))*o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**4\/4 - 8*y**3\/3 + 3*y**2\/2 + 11*y + 125. Calculate v(-8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 3*v**2 + 4*v - 3. Let o = 24 - 12. Let t = o + -3. What is the lowest common multiple of t and a(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43365217 a multiple of 874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 4:30 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 483 and -0.6.\nAnswer: -289.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2954\/28 + 112)*(-4)\/15.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 6*h - 1. Let x be s(-7). Let f(a) = -4*a**3 - 6*a**2. Let b(o) = -2*o**3 - 3*o**2. Let z be 3 - 7\/2 - 462\/44. Determine x*f(d) + z*b(d).\nAnswer: -2*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7*z**2 + 6*z + 4. What is i(-3)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/194 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqqu when four letters picked without replacement from qqubxuqqxquuq?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -11, -0.5.\nAnswer: -11, -2, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6768, -6114, -5532, -5022, -4584?\nAnswer: -4218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 80)\/((-3)\/8). Let m = 246 - p. Let a be (57\/(-6) - -2)*-2. What is the greatest common divisor of m and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 691*f**4 + 6*f**2 + 3712*f wrt f.\nAnswer: 8292*f**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4163 - -6?\nAnswer: 4170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -5 (b) 49522 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5974627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqq when three letters picked without replacement from rqqqfzhcqzzzzqqqqzzr.\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 36720000 to the nearest one million.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54*k**4 - 7*k**3 + 34*k**2 - 36*k**2 - k - 26*k**4 to v*k**3 + c*k**4 + q + o*k + h*k**2 and give c.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -20*o - 1. Let g(p) = 20*p. What is -3*g(w) - 2*z(w)?\nAnswer: -20*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 391 and 51?\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (28\/245)\/(12\/(-10))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**2 + 1161232*y - 22062694. What is q(19)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 9 - 10 = -5*g, g - 2*q = 11. Put g, -36, 8, 4 in ascending order.\nAnswer: -36, g, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/9 - 32\/(-6). Suppose l*d - 61 = -21. Solve 0 = 4*v - 2*z - 24, -4*z = -2*z + d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -957\/7 (c) -2\/5 (d) 6 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 242, 552, 988?\nAnswer: 1550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16507736?\nAnswer: 2, 7, 294781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 - -2.2. Which is the biggest value? (a) -1 (b) r (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8310?\nAnswer: 2, 3, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*k - 1493 - 1491 = 581 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3*sqrt(102) + sqrt(102)) + sqrt(102) + sqrt(102) + (sqrt(102) + sqrt(102)*-2*3 + sqrt(102) - sqrt(102)))\/(-4*(sqrt(24) - sqrt(96))*1).\nAnswer: 5*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**6\/120 + x**5\/10 - x**4\/12 + x**3\/2 + x**2. Suppose 32*z - 104 = 24*z. What is the remainder when v(-5) is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - 198\/(72\/8) - 8\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h. Let u(a) be the first derivative of 7*a**5\/60 + a**4\/12 + 40*a**3\/3 + 29. Let x(q) be the third derivative of u(q). What is o(x(l))?\nAnswer: 28*l + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2.461 times -0.123\nAnswer: 0.302703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2081207 or 2081254?\nAnswer: 2081254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20, -47, -86, -137, -200?\n\"Answer: -6*z**2 - 9*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98, 0, -2 in decreasing order.\nAnswer: 0, -2, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 453493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.06 + 100.06. Let x = q + -54. Let v = 46 - x. Is -3\/14 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20\/80)\/(3\/(-12)). Which is greater: p or -3\/1565?\nAnswer: -3\/1565","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132007 is divided by 446?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + 33 + -9 - -15?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1380 = -81*s + 69*s. Calculate the remainder when s is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 0 - (-167 + 171)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008865272 rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36437695*a**3*p - 5303*a**2*p + 1683*a**2 - 2*a*p wrt a.\nAnswer: 218626170*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -1 + -71 + (73 - 3).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 2*s**2 - 5*s**2)*((-4*s + 5*s - 3*s)*(0 + 2 - 3) - 2 + s + 2).\nAnswer: -15*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -8*w**3 - 3*w**2 - 2*w. Let u be r(-1). Let d(i) = 4*i - 8. Let k be d(u). Suppose -3*y = y + g - k, y - 12 = -2*g. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2734671 is divided by 1367334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**2\/9 + 26*k\/9 - 8 = 0.\nAnswer: 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 42 + 16 = -2*f, i + 9 = -3*f. What is the units digit of ((-15)\/(-10))\/((-1)\/i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6769481 to 2 decimal places.\nAnswer: 1.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -311*x - 12. Let m(a) = -a**2. What is o(m(c))?\nAnswer: 311*c**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**4\/3 - s**3\/6 + 117*s + 157. Let d(i) be the first derivative of p(i). Suppose d(q) = 0. What is q?\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 + 842052*j.\nAnswer: 3*j*(j + 280684)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 22326*k - 2098635. Determine z(94).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 5*d = 0. Solve d = -2*g - 2*h + 2, -5*g + 9 = 3*h + h for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 1)*(-3 - 1 + 1)*(3*q - 2*q + 2*q).\nAnswer: 54*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -26\/8257799?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 4*y + 20, -a + 6*a - y - 13 = 0. Let k be a\/(-4)*(-25 - 1). Suppose -3*f = 2*u - k, 0*u - 20 = -4*u. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 8 (c) 9\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -8 + -3 - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 708 = 3*c - 9. What are the prime factors of c?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - 57. Let y(j) = j**3 - 13*j**2 - 16*j - 11. Let i be y(14). Let x = o - i. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -518*x - 51*x + 21622 = 0 for x.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/1 + (2 - -15). Suppose 4*b - w = 15. Let p be 69\/(-115) + 96\/10. Which is greater: p or b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53 + -72 - (-57 - -4)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 16320?\nAnswer: 179520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + h + 80, 2*x + h = x + 82. What is the remainder when x is divided by (-6)\/(-10)*140\/4?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + o + 0*o)*(-5*o + 3*o + 0*o) - o**2 + 0*o**2 + 2*o**2 - 3*o - 11*o**2 + 88 - 88.\nAnswer: -14*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 117*b**2 + 3*b - 41. Let h(c) = 232*c**2 + 5*c - 82. Let g(w) = -3*h(w) + 5*j(w). Find the first derivative of g(d) wrt d.\nAnswer: -222*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4 = 16. Let x = -3 + n. Is 14 a factor of x*2*(-35)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.661 - -18.351. Let k = 210.1 - 224. Let w = k + c. What is w rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -359\/6 - -169\/2. What is the common denominator of -33\/17 and c?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2 (b) -4\/3 (c) 41 (d) 7\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 370.6 + -371.8. Which is the smallest value? (a) 0.06 (b) -5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**5 - 6*c**4 - 24*c**3 + 40*c**2 + 96*c = 0.\nAnswer: -2, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-32)\/(-8) - (-77 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124222*u + 0*u**2 - 4*u**2 - 246634*u + 122412*u.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5*1824988\nAnswer: -9124940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 125\/3520*12 - 5\/((-400)\/(-5)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence segx when four letters picked without replacement from {s: 1, g: 4, x: 9, e: 3, i: 2}?\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 79a - -73?\nAnswer: 81d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence efx when three letters picked without replacement from effxbxdv?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40\/(-340) - 631\/(-17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 56 - -8 - (-2)\/(-2). Suppose d + r = 3*i, 2*i - 5*i + 4*d = -54. What are the prime factors of i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5080, 12354, 24476, 41446, 63264, 89930, 121444?\n\"Answer: 2424*c**2 + 2*c + 2654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1358*g + 2191*g - 1261*g)*(g + 2*g - 2*g).\nAnswer: -428*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3591, -6746, -9901?\n\"Answer: -3155*o - 436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9792 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-4))\/((-14)\/(-42))*4. Let c(v) = -1160 - j*v**2 + 1160. Let r(u) be the third derivative of u**5\/60 + u**2. Determine c(r(m)).\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 691045 divided by -138209.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4355, -3034, -33929, -100084, -213253, -385190?\n\"Answer: -1959*f**3 + f**2 + 6321*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 79423970?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0*4\/12 + 16. Find the third derivative of -3*n**2 + q*n**2 - 8*n**3 - 3*n**2 + n**3 wrt n.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 26 = k, -k + 3*j = -4*k - 42. Suppose -45 - 39 = 7*o. Is o < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 587*u = -590*u - 36, 0 = -3*g - 4*u - 83 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5843.91 - -5844. Sort -10, 0, -6, d in decreasing order.\nAnswer: d, 0, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 8. Let w be (2 - 2 - -39)*1. Suppose 2*z - w = -z. What is the greatest common factor of c and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 5 + 19. Put 5, 0.2, y in increasing order.\nAnswer: y, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 137641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4053401 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-3*3\/9). Find the third derivative of i**6 - 447*i**2 + b*i**6 + 440*i**2 wrt i.\nAnswer: 120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1956 and 86179404.\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17959, 35919, 53879, 71839, 89799?\nAnswer: 107759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b - 14. Let f(n) = 86*n**2 + 16*n + 208. Let l(p) = -17*p**2 - 3*p - 39. Let c(k) = -3*f(k) - 16*l(k). Determine c(u(z)).\nAnswer: 56*z**2 + 784*z + 2744","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -104 + 55. Let a = 55 + y. What is the third biggest value in -0.4, a, -1\/7, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from {b: 14, c: 4}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-8)*(s\/(s*s**(1\/10)))\/s*s*(s\/s**(1\/12))**(-2\/39) assuming s is positive.\nAnswer: s**(-4766\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216219?\nAnswer: 3, 72073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 20*b + 80. What is t(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/56030 and 103\/2437305?\nAnswer: 4874610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2341966603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-3.2.\nAnswer: 1.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide -5*(20\/(-16) - 894\/40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -15. Let t(y) = -2*y + 1. What is t(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(2\/59))\/s)**(-39) assuming s is positive.\nAnswer: s**(78\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*x + 52*x - 1036 = 0 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, 4, 0.31, 0.4, -8\/2049?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1722916627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 558364662?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7646141641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 899804.2 millilitres to litres.\nAnswer: 899.8042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {n: 3, x: 1, p: 7, e: 4, z: 2}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*n + 16. Let p = n - 9. What is the biggest value in 0.2, p, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n - 4*n + 5*n + n + 2. What is the units digit of j(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 768 divided by -3991.\nAnswer: -768\/3991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 + -29 + (36 - 5)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7.305+0.89694\nAnswer: 8.20194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*y - 2*y - y)*(-56 + 31 - 8) + (-3 - 2 + 3)*(-3*y - 4*y + 5*y) to the form t*y + m and give t.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5195\/(-2)*(-4 - (-6)\/3). Let v be ((-1)\/(150\/395))\/((-36)\/p). Let n = 3019\/8 - v. Calculate the common denominator of n and 127\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 125 - 41. Suppose -2*n = n - d. Let z = 8848 - 8793. What is the remainder when z is divided by n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25324 and 208.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2\/11 + 113974*s\/11 + 1137540 = 0. What is s?\nAnswer: -56877, -110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*b - 160 = -39*b - 10*b for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1309.1 take away 0.3?\nAnswer: -1309.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 + 140*v + 151. Let m be g(71). Solve 0 = 4*o - m + 17 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wywywxw. What is prob of sequence wx?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4643?\nAnswer: 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -999*k**2 + 33966*k + 149. Determine u(34).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oolgoolgoloplgoop. Give prob of sequence gp.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(-1\/5)\/h*h*h**(-2))**(-6\/19) assuming h is positive.\nAnswer: h**(6\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*p - 50 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38850715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and -0.1345809800532.\nAnswer: -0.0345809800532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**6 + 112379*l**5*z - 70*l**2 + 88*l*z wrt l?\nAnswer: -240*l**3 + 6742740*l**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/16 + (-634)\/(-8). Let u = k - 61. What is the lowest common multiple of 94 and u?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-6 + 12 + -9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -13*j**2 - 2*j + 2. Let c be u(0). Sort 6, -3, -2, c.\nAnswer: -3, -2, c, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(95) + sqrt(95)*-2 - sqrt(95))*4)\/(4*1*((sqrt(5)*2 - sqrt(5)) + sqrt(5))))**2 + 0.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**4\/12 + 9*o**2 - 4. Let t(z) = -z + 1. Let l(s) = 25*s - 30. Let w(c) = l(c) + 30*t(c). Calculate x(w(q)).\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8715 - 2897 - x - x + 2384.\nAnswer: -2*x + 8202","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 7 - 7 + 6*o**2. Let w(t) = -t - 3. Let n(u) = -6*u - 16. Let k(l) = -3*n(l) + 16*w(l). What is k(q(m))?\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 750 and 7212990.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -0*k - 6. Let y be 0*(-11 + 6)\/25. Suppose -o - 5*j + 28 = y, 2*o + 12 = k*j + 3. Calculate the lowest common multiple of 10 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293900*j + 7316*j**2 + 293900*j - 2436*j**2 - 2442*j**2 - 2439*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m\/(m\/m**(-1\/10))*m)\/m)\/m)\/m**(5\/3)*(m\/(m*m**6*m))\/(m\/m**(-9)))**(-21) assuming m is positive.\nAnswer: m**(3941\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*q + 168 = -152*q. Suppose -17*x = -q*x + 91. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*p**5 + 84*p**4 - 136*p**3 + 104*p**2 - 36*p + 4 = 0. What is p?\nAnswer: 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 10:10 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 23 + 34*r**2.\nAnswer: 34*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -i**3\/3 + 11*i**2\/2 - 9*i + 4. Suppose -343 = -21*l + 917. Suppose -4 = -d + 2*d, -4*b + 5*d = -l. What is v(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 3.4.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -418\/82591 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -7, 5, 17, -0.1, 0.11?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**8\/336 - 2*v**7\/105 - v**6\/120 + 7*v**5\/30 + 5*v**4\/6 + 4*v**3\/3 + 23*v**2 + 11*v. Suppose j(x) = 0. What is x?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i*i**(2\/3)*i)\/i)**(2\/9)\/(i**2\/i)**(-2\/7) assuming i is positive.\nAnswer: i**(166\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 0*p + 93 = 0. Let h(c) = -14*c + 94. Let m be h(7). Let k = p + m. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 18748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -58, 4, -3, 3, 3446 in increasing order.\nAnswer: -58, -5, -3, 3, 4, 3446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1578537 and 69981807.\nAnswer: 209945421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8345868*f**3*g**3 + 19648*f**3*g + 3*f**2*g - 8*g**2 wrt g.\nAnswer: -50075208*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -61476*h - 368873. Calculate b(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 20022?\nAnswer: 20101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3135.55750244 + -2772.557502039. Let a = 363 - n. Round a to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 125 = 2*y, -5*y - 5*x + 344 = -2*x. What are the prime factors of y?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/4 - 22\/(-4). Let h be ((-2)\/4)\/((-2)\/(-20)). What is the units digit of (-2)\/f - 7\/h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -412124002 (base 5) to base 12\nAnswer: -68a414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 97 - 49. What is j rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.2 * -0.0838912\nAnswer: -0.26845184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 17)\/((-33)\/(7326\/(-12)))?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 247229275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + 5. Let z = y + -46. Let j(p) = -p**3 - 7*p**2 - 14*p - 19. Is j(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5*(3\/(-15))\/((-2)\/4). Let u(l) = -l - 5. Let f be u(s). Is 0.4 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-5) - 888\/(-20). Let t be s\/(-30)*(2\/(-12))\/1. Which is the smallest value? (a) -4\/3 (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38194063 a multiple of 755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 617*t = 621*t + 8. Let u be t\/6*-12 - (0 + 4). Factor u*p + 0 + 14\/5*p**4 + 2*p**3 + 6\/5*p**5 + 2\/5*p**2.\nAnswer: 2*p**2*(p + 1)**2*(3*p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7523 + -165433\/22. What is the common denominator of g and -151\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**2 + 3*w + 3. Calculate q(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*d**(-8)*d*d**(-16) assuming d is positive.\nAnswer: d**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 9. Let l = 14 + -14. Suppose l*f = 2*f + 16. Calculate the remainder when y(f) is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qp when two letters picked without replacement from rupuusqsusq?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 54, 4, -4, 1, 22, -8.\nAnswer: -8, -4, 1, 3, 4, 22, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1779, 14321, 48403, 114795, 224267?\n\"Answer: 1795*k**3 - 23*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 346*u**2 + 62*u - 17. Is p(-38) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -55 and 147790.\nAnswer: 147735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 6:13 PM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4\/7)*z**(2\/15)\/z)\/((z**1*z)\/((z\/(z\/z**(-13))*z)\/z)) assuming z is positive.\nAnswer: z**(-1726\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 156736379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*v - 6, 0 = 2*m + 4*v - 1412. Calculate the highest common factor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/9 (b) 0.5 (c) -1\/3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 46*s**2 + 7078*s - 923. Determine z(-154).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 102604 divided by -3216?\nAnswer: -25651\/804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ys when two letters picked without replacement from ihhysihhsshshh.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -7*x**2 + 17*x - 9. Let k(j) = -j**2 + j - 1. Let p(r) = 5*k(r) - z(r). Let q(m) = -m**2 + 11*m - 3. Let i(w) = -3*p(w) - 4*q(w). Factor i(n).\nAnswer: -2*n*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 0 - (-3 - (2 - 5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 3*s - 3 = 0, 5*o - 2*s = 3*s + 35 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**2 - 3561*s + 3558 = 0.\nAnswer: 1, 1186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 53*g**2 - 26*g + 81. Let z(d) = 40*d**2 - 25*d + 80. Let c(i) = 3*n(i) - 4*z(i). Give c(20).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/74738724 and -97\/249129080?\nAnswer: 747387240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 673780?\nAnswer: 2, 5, 59, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 926.\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 465189?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -144436*g**3*p + 4*g**2*p + 2*g*p + 350*g - 2*p + 67 wrt g?\nAnswer: -866616*g*p + 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8402.432 rounded to the nearest one hundred?\nAnswer: -8400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2156 and 14212.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 282986403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1042 and 0.03?\nAnswer: -0.003126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.2697 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y + 14*y - 48*y + 25*y - y**2 + 13*y**2.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**4\/2 + 9*k**3\/2 - 15*k**2\/2 - 53*k\/2 - 15 = 0.\nAnswer: -10, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -6*u**3 - 15*u**2 - 159*u - 3. Let b = 321 - 320. Let w(y) = -y - 3. Let t(f) = b*w(f) - x(f). Find the second derivative of t(k) wrt k.\nAnswer: 36*k + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 m when two letters picked without replacement from {e: 2, m: 10, g: 5, u: 3}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 108 - 109 - o + 6*o - 3*o + 11*o**2. Let m be p(-2). Calculate the greatest common divisor of m and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95250 divided by 127?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/9 + 196*u**2\/9 - 194*u\/9.\nAnswer: -2*u*(u - 97)*(u - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5189, 5230, 5271, 5312, 5353?\n\"Answer: 41*u + 5148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + d + (-2*d - 3*d + 4*d)*(-1 + 3 - 3) - 514*d - 1256*d - 1528*d.\nAnswer: -3296*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 206034687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.33 - 0.0931133?\nAnswer: 1.2368867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -5, -12.2, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 2*s + 38 - 30, 4*s - 6 + 2 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*y - 22*y + 72 = 0. Let g be (-2 + 4\/y)*1*-2. Sort -29, g, 4, 1.\nAnswer: -29, 1, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*130\/70)\/((-4)\/(-4)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + u - 30. Let o = 14 + u. Suppose 6215 = o*b - 3*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j = 25*j - 2. What is the nearest to 2\/11 in 0.5, 5, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -104 + 181. Let s be 50*(3 - (-17)\/(-5)). Let c be 2\/5 + (-212)\/s. Calculate the highest common divisor of w and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 5*x - 25, -4*h = -34*x + 31*x + 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 0*q + 1\/18*q**3 + 0 + 1\/630*q**7 - 97*q**2 - 1\/18*q**4 - 1\/90*q**6 + 1\/30*q**5. Determine o so that f(o) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/41, 62104, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.083 - -85.083. Let g = k - 21. Let p = -64.2 + g. Which is the third smallest value? (a) p (b) -0.4 (c) -4 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 30 = -5*n - 0*z, -133 + 27 = -30*z + 44 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110111010210 - 21?\nAnswer: -110111011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*n = -26*n + m - 33, 2*n + 2*m + 18 = 0 for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -41 + 40.948. Let v = m + 4.052. Sort -3, v, -4, -1 in decreasing order.\nAnswer: v, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9.2 + -34.9. Let k = 26 + t. What is the second smallest value in -1\/5, -1, k, 0.2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*u - 808887 = 38*u - 5365534. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilogram in grams?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -373450000 to the nearest 1000000.\nAnswer: -373000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 50b802 (base 15) in base 5?\nAnswer: 1440221202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 1183943?\nAnswer: -1183944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 + 3*g - 1. Let y(b) = b**2 - 24*b - 56. Let h be y(26). What is w(h)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j = -261 + 156. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -12*r**4 + 5001*r**3 + 1263*r**2 - 5001*r - 1251 = 0.\nAnswer: -1, -1\/4, 1, 417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7134*h - 4838 + 4838.\nAnswer: 7134*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -380*r - 11855 + 455 for r.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a hour in seconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 68785 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*v - 19 + 0 = 0, 6 = 3*v. Suppose -g + 149 = -8*h + 9*h, -f*h - g + 757 = 0. What is the remainder when h is divided by 45?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -403 or -402?\nAnswer: -402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*f - 1191, -2*h + 70*f = 67*f - 793. Differentiate -h + 170 + 165 + 7*k**2 - 2*k**3 with respect to k.\nAnswer: -6*k**2 + 14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 157009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 10:34 AM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3246880009?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9793536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**4\/4 - 17*s**3\/4 - 57*s**2\/4 - 67*s\/4 - 13\/2 = 0.\nAnswer: -13, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j = -3*f - 7*j - 3, -3*j = -5*f - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2061\/11405 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 1 + 7. Let q(a) be the third derivative of 0*a**4 + 0*a**3 - 1\/735*a**7 + 0*a + 0*a**5 + a**j - 1\/420*a**6 + 0. Suppose q(g) = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**3 - 2*c**3 + 5*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 3*i = -105, -226*z + 229*z - 3*i + 2 = 59 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -240031 + 1241?\nAnswer: -233240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 641 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 12350, -5.\nAnswer: -5, -2, 12350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 25*a - 3. Does 18 divide y(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/12*(-112)\/(-3). Let s be (12\/(-7))\/((-8)\/c). Suppose -q = q - s. Is 7 greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 2*l**2 - 3*l - 4. Let k be (-2)\/3*18\/4. Let u be c(k). Let z(g) = g**2 + 5*g + 1. Calculate z(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 7*r**2 - 6*r + 5. Let b be f(6). Suppose 2*s + 450 = b*w - w, 3*w - 360 = -3*s. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvr when three letters picked without replacement from vvvrvvrrvrvvr.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 + 8*j + 7. Let d(r) = r**2 - 1. Let q(y) = -4*d(y) - h(y). Suppose -4*k - 17 = -2*f + 7*f, 0 = f - 2*k + 9. Give q(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*a - 6*a - 11*a - a + 127 - 7*a + 33*a.\nAnswer: -a + 127","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -104\/105 and -53\/77.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355 + 47*y - 126 + 48*y - 23*y - 229.\nAnswer: 72*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10620 - -52190. Is q a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-4))\/((-3)\/(-12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -829*s = -832*s + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1567006407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*y**2 - 56*y**2 - 59*y**2 + 170*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u - 4. Let p be q(5). Let d(w) be the second derivative of 5*w**3\/6 + 2*w**2 + w. Let y be d(3). Solve -3*o + k = p, 2*k - 1 + y = -4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -184.3999 rounded to 0 decimal places?\nAnswer: -184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*u + 2*u + u - 2*u + 2*u + u + 0*u + 0*u + 2*u + (0*u - u + 2*u)*(-2 + 7 - 1) + 0*u + 0*u + 2*u)*(2 + 2 - 5)*(4 - 4 + 2*u).\nAnswer: -20*u**2 + 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 511, -9 in decreasing order.\nAnswer: 511, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16891045 and 1252?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or 3283?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*k**2 - 3*k**3 + 5*k**2 + 5*k**2.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1841709?\nAnswer: 3, 613903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.828453 and 36.2?\nAnswer: 40.028453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/2)\/(x**(2\/9)*x))\/(x**(-4\/7)*x**(6\/5)) assuming x is positive.\nAnswer: x**(-221\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 450 is divided by 153?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32064026 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dododd. What is prob of picking 2 o?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 3*k. Let u be l(-5). Suppose -5*t = 10 + u. Let y(c) = -c - 8. What is y(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -k + 2*k - 19, k - 5*i = -21. Let a be (3\/(-6))\/(k\/(-4)). Find the common denominator of (-238)\/20 - 1\/a and -149\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 23325729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.854 - -869225.\nAnswer: 869230.854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + w - 6 = -3*p, 2*p = 3*w - 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(27) + sqrt(27) + sqrt(3) + 3*(sqrt(48) + sqrt(3)))**2 + sqrt(6)\/(2*sqrt(6)\/sqrt(3)).\nAnswer: -87*sqrt(3)\/2 + 1453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a century in months?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.4*14484958.\nAnswer: -34763899.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-23)\/3 + 4\/6)*36\/(-14). Solve -7*s - 11*s = r for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.8907859 to 2 dps.\nAnswer: 2.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6))\/(468\/4212)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + x - 4*x + 18 = 0, 5*g + 3*x = 36. Suppose g*m = 7*m - 2. Solve 4*s + 24 = y, -m*s - 5 = -5*y + 25 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*q + 8 = 0, 0 = -q - 2*q + 6. Suppose 3*l = -4*u + l + 22, -3*l - 2 = -u. Put c, 1, u in ascending order.\nAnswer: c, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**3 - 573*d**2 + 607*d + 425. Does 35 divide m(190)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 + q**5 + 32*q**2 - 4*q**3 + 0*q**5 + q**5 + 32*q**3 + 12*q**4 + 18*q.\nAnswer: 2*(q + 1)**4*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x + 2. Let l be c(1). Suppose -1 = l*f - 22. Solve -2*t = m + 2 - f, 11 = -5*m - 2*t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101, -249, -599, -949, -1299, -1649?\nAnswer: -1999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/13 and -4\/399685?\nAnswer: 399685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -23*a**3 - 23*a**2 + 13*a - 18. Let j(c) = 4*c**3 + 4*c**2 - 2*c + 3. Let v(p) = 34*j(p) + 6*y(p). Factor v(s).\nAnswer: -2*(s - 1)**2*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4124*b*p*z**2 - 64*b*p*z + 15*b*z**2 + 2*b - 26*p*z + z**2 - 27 wrt z.\nAnswer: -8248*b*p + 30*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a + 9755 - 9755.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2. Let o(w) = -19825500*w. Calculate x(o(f)).\nAnswer: -786100900500000*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2152652 is divided by 656?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**2 - 343*s - 288. What are the prime factors of w(105)?\nAnswer: 3, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(2\/3)*m)**(-3\/5))**(13\/2) assuming m is positive.\nAnswer: m**(-26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 5*p**2. Let w be f(-1). Suppose 0*i - 45 = -w*i. Suppose -u = 3, 2*n - 4*n - i = 5*u. Calculate the highest common factor of 3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 87895.\nAnswer: 1\/17579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -1. Let c(x) = -4*x - 2. Let i(q) = q + 4*q - 4*q - 2*q - 1. Let g(d) = -c(d) + 5*i(d). Let j be (-4)\/(-5)*5\/2. Give j*g(l) - 6*p(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 3*r**2 - 2*r - 2. What is l(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*u - 351 - 23*u + 45*u.\nAnswer: -5*u - 351","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffznhhznzfknohh. Give prob of picking 1 k and 1 o.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -5*z + 0*z**2 - 1\/12*z**4 + 0 + 2\/3*z**3. List the prime factors of c(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 2. Let c be 96\/(-88)*1\/2. What is the biggest value in -2\/3, r, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 398 + -403. Let j = -39 - -34.2. Let y = g - j. Which is the closest to 0.1? (a) -2 (b) -2\/9 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 700*q - 65. Let b be t(11). Suppose 18*m - b = -543. List the prime factors of m.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50107242 (base 8) to base 14\nAnswer: 157c910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from {k: 1, u: 2, p: 2, j: 2, o: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88777.3 - 3.\nAnswer: -88780.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54098711*r**2 + 14062713*r - 4.\nAnswer: 108197422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5371*a*i - 483*a - 9*i + 80 wrt i.\nAnswer: -5371*a - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 3. Let p be h(0). Let z be 2\/p - (-10)\/(-18). Let v be (5 + -5)\/((-4 - -7) + 3). Sort -0.5, z, v.\nAnswer: -0.5, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**4*y - 3*j**4 - 283*j**3*l + 2*j**2*l + j**2 - 2*j*y + 77*y wrt j.\nAnswer: -48*j*y - 72*j - 1698*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -4*s**5 - 4448*s**4 + 45076*s**3 + 219392*s**2 - 583440*s = 0?\nAnswer: -1122, -5, 0, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -6 and -17789.\nAnswer: -17795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 372, 3024, 10210, 24192, 47232, 81592, 129534, 193320?\nAnswer: 275212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(364) + -6*(sqrt(364) - (sqrt(364) - 1*sqrt(364))))*-2)\/(sqrt(42)\/(sqrt(12)\/sqrt(2)) - (sqrt(7) - (sqrt(7) + -1*sqrt(567)))) + 0)**2.\nAnswer: 325\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 64200*t**5 + 173*t + 2.\nAnswer: 1284000*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6776 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: Let k = -164\/385 - -2\/77. Let m = -637 + 632. What is the closest to k in -0.1, 3, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 9:19 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**3\/4 + 180*v**2 - 53823*v\/4 + 13275 = 0. Calculate v.\nAnswer: -300, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5 = 11. Suppose 5*w = -p*s - 21, 4*s + w + w + 18 = 0. Let v(a) = 54*a**2 + 5*a + 2. Is v(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -618*o**3 + 4697*o - 6. Let v(d) = 44495*d**3 - 338185*d + 435. Let k(s) = -145*q(s) - 2*v(s). Find the second derivative of k(w) wrt w.\nAnswer: 3720*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20423.5 - -3.\nAnswer: -20420.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -660, -8613, -21874, -40437, -64296?\n\"Answer: f**3 - 2660*f**2 + 20*f + 1979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 4*v**4 - 37016*v**3 + 76180116*v**2 + 44949702656*v - 226648391680 = 0.\nAnswer: -479, 5, 4864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - 0.07. Let d = 1.97 + q. What is the biggest value in -4, -0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 561c5c (base 13) in base 10?\nAnswer: 2032133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5453\/5 + 1091. Let 0 + 0*y - 2\/5*y**2 + 2\/5*y**5 + u*y**4 - 2\/5*y**3 = 0. Calculate y.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1961206110?\nAnswer: 2, 3, 5, 21791179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45180498 and 324456?\nAnswer: 180721992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 2*w**2 + 3*w**4 + 7*w - 6*w**3 - 7*w**4 - 8*w - w**5.\nAnswer: -w*(w + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7569258 is divided by 34.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a microgram in nanograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h + 7. Suppose -16*c - 125 - 31 = 10*c. Let a(t) = t + 8. Let v = 5 + 0. Give c*i(s) + v*a(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*l**4 + 3*l**3 + 1068*l - 3636201 wrt l.\nAnswer: 40*l**3 + 9*l**2 + 1068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(133) + sqrt(133)*1))\/sqrt(7).\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -326, -1297, -2916, -5183, -8098, -11661, -15872?\n\"Answer: -324*m**2 + m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -59*r**4 + 19*r**3 - r + 13727?\nAnswer: -236*r**3 + 57*r**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 21\/4 of a millisecond?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 0)\/((-1)\/4). Suppose 0 = 5*l - 238 + 58. What is the highest common factor of l and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14880, 1, -4 in increasing order.\nAnswer: -4, 1, 14880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 39*o - 33. Let x be l(17). Let w be 0 + -1 + x\/14. Let v = w + 605. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5508\/(-8)*-6*20\/6. Suppose 14*o - 32*o = -n. What are the prime factors of o?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6668*q**3 - 5*q**2 - 4*q - 3. Suppose 0 = 3*a + 20 - 11. Let h be d(a). Round h to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 6*p**2 - 5*p - 1. Let w be f(4). Suppose -q + w = d + 2*q, -26 = -d + 2*q. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*-5*(-28)\/80?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-50 - -30) - 36?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.9 + 1.1. Let z = -18.9 + 19. What is the second smallest value in z, u, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010001010010011101 (base 2) to base 3\nAnswer: 121220201202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46781 is divided by 99?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (34 - 81 - 43)*(6*u**2 + u**2 - 5*u**2) as w*u**2 + p + k*u and give w.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94*y - 4*y - 544*y - 2 - 933*y**2 - 124*y + 930*y**2 to j*y**2 + x*y + d and give x.\nAnswer: -578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198 and 2931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 966 = 3*m, 3*m + 0*t - 969 = t. Let h = m - 221. List the prime factors of h.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -4. Let u = 6 - s. Is 3 - -29 - 3\/u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, p: 15}. What is prob of sequence pl?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -8 - (20 - -3) - (36 - 2).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from kemmeemekmemmemmmmme.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from okkozzeltlol. What is prob of sequence zk?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11448 less than or equal to 11450?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {q: 2, s: 2, b: 4}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 17. Let u = -3 + b. Solve -y + 12 = 4*f, 4*f - 2 = u*y - 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10383 - 51907\/5. Factor -6\/5*o**3 + 0 + 0*o**2 + p*o**4 - 3\/5*o**5 + 1\/5*o.\nAnswer: -o*(o - 1)**3*(3*o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 4*w**2 - w - 1. Let r be d(-4). Suppose 0*f + 3*u = -f - 2, -18 = -3*f - u. Let x(k) = -8*k**r - k + f*k**3 - 6*k**2 - 3*k. Give x(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -5*a - 39 - 29, 3*a = 3*v - 36. Calculate the common denominator of 85\/6 and a\/(-28)*(-114)\/209.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 7 = 4*i. What are the prime factors of (5\/(-10))\/(i\/30)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184713 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 205*a + 10293. What is y(-114)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69341126.\nAnswer: 2, 1117, 31039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 6*p**2 + 23*p + 23. Determine g(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -591224891*y**3 - 58013019*y - 1 wrt y.\nAnswer: -3547349346*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 86*i + 90*i + 18, -5*i = 0. Calculate the smallest common multiple of o and 1\/2*3*4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 192 and -7*(1 - (4 - 1)).\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19830 = 19829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 6*i + 2. Let n(q) = 1. Let c(y) = -h(y) + n(y). What is c(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -790600, -3162403, -7115408, -12649615, -19765024?\nAnswer: -28461635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 245312 and 27640?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2210*p**4 + 554 wrt p.\nAnswer: 8840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-2*(sqrt(637) + 1) - (sqrt(637) - ((sqrt(637) - (2*sqrt(637))**2) + sqrt(637))*2)) + -5 + -3 + 2*sqrt(1872)).\nAnswer: -186*sqrt(13) + 30636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163557 is divided by 1740?\nAnswer: 1737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**4 + 4*h**2 + 4122*h**3 + 4094*h**3 - 8259*h**3 as m*h**4 + k*h**2 + n*h + b*h**3 + i and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83 + -169. Let s = j - -344. What are the prime factors of s?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18 + -217844?\nAnswer: -217861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4639, 17116, 37911, 67024, 104455?\n\"Answer: 4159*u**2 + 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 9. Give g(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 7. Suppose 0 = -g*r + 14 + 1014. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -4*h - 2303, -5*f + 846 = -5*h - 2024. Let d = h + 602. Let k(n) = -n - 2. What is the remainder when d is divided by k(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -3*c - 3*z, 22*c = 14*c - 5*z - 28 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -68, -267, -590, -1031, -1584, -2243, -3002?\n\"Answer: r**3 - 68*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26525 by -1.\nAnswer: 26525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1815629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-189)\/(-168)*4\/(-3).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*h - 9 + 77, 5*j = 0. Let o = -12 + h. Let z(l) = l**2 - 9*l + 5. Let f be z(10). Solve 0*d - d = -3*u - f, 3*d + 25 = -o*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwwvgwwwvvgvw. Give prob of picking 2 g.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229475?\nAnswer: 5, 67, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 229\/175560 and 67\/87780?\nAnswer: 175560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**3 - 187598*r**2 - 4399032400*r + 4399220000 = 0.\nAnswer: -46900, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 7*p**2 + 6*p - 43. Let u be m(-8). Calculate the greatest common factor of u and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 1 in increasing order.\nAnswer: 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 215\/3*(-6)\/(-2). Suppose 6*j - s + 23 = 0. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w**3 + 70141*w**2 - 94591880*w - 50954428 = 0.\nAnswer: -7\/13, 2698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**2*o**3*y - j**2*o**2 - 2*j*o**2*y**2 + 9*j*o*y**2 - 2*j*o + 20*o**3*y**2 + 6*o**3*y + 3*o*y**2 wrt o.\nAnswer: -6*j**2*y + 120*y**2 + 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -v**2 + 1\/6*v**3 - v + 2. Let y(j) be the first derivative of a(j). Find the first derivative of y(k) wrt k.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 3. Let f(v) = v + 2. Let u(j) = -3*f(j) + 2*y(j). Let a(x) = -x**3 + 3*x**2 - 2. Let c be a(2). Let g(k) = 2*k - c + 2. Calculate g(u(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.17 (b) -4 (c) -2\/13 (d) -1190\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 14*w**2 + 11*w + 13. Give k(15).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -9. Let w = g + 8. Let f = w - 0. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-5)\/2)*(3570\/(-45))\/7\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 8*d**2 - d + 8. Let i be f(8). Let t(a) = -2 - 6*a + i + 2. Let s(h) = h**2. Determine s(t(y)).\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013382 to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*c - 5*x, 3*c = -x + 4*x - 6. Find the third derivative of -2*j**4 - j**2 - j**2 + c*j**4 wrt j.\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2\/15, 0, -4\/9, -728 in ascending order.\nAnswer: -728, -4\/9, 0, 2\/15, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -1864*c + 59649. Give z(32).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a tonne in kilograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u - u**4 + 0*u**2 + 0*u**2 + (14*u**4 + 0*u**4 - 2*u**4)*(0 + 0 - 5).\nAnswer: -61*u**4 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -1b?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/3)*(z**(-4)\/z)\/z)\/(z**(-1\/3)*z)**(-39) assuming z is positive.\nAnswer: z**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k**5 - 3584*k**4 - 38818*k**3 - 109120*k**2 - 38472*k + 35424 = 0. What is k?\nAnswer: -6, -4, -1, 2\/5, 369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 10*g**2 + 21*g + 37. Let m be x(12). Suppose 4 = y, -3*y + 17 = 2*n - m. Solve 5*j - 3*j + 12 = -n*h, 3 = -j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 20*o**2 - 22*o + 25. Let c be x(21). Suppose z + 67 = c*h, -2*h + 2 = 4*z - 54. Calculate the highest common divisor of h and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/24 + 0 + -19 + 1526820\/83040.\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.72332 years to centuries.\nAnswer: 0.9372332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -432?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -158*q - 527. Let g be w(-4). Solve 0 = -34*v + 13*v + g for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 f, and 1 x when three letters picked without replacement from fddxf.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 12, z: 5, b: 2}. What is prob of sequence bz?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 2062?\nAnswer: 2062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**2 - 154225*l = 0. Calculate l.\nAnswer: 0, 30845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - 0.1. Let p = 0.2 + n. Let u = 270 - 4052\/15. Which is the closest to -1? (a) p (b) u (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 42320, -2\/7 in descending order.\nAnswer: 42320, -2\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -3. Let g = 249 + -259.5. Let j = 11.2 + g. What is the third smallest value in -2, j, 5, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(1 + 0 + 0)*(1 - 4 - x - 8*x).\nAnswer: -9*x - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343*j = 174*j - 3718 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k**2*p**3 + 10674*k**2*p*x - k*p**3*x + k*p**3 + 17*k*p**2*x - k - 84*p**2*x + 2*p**2 wrt k.\nAnswer: -6*p**3 + 21348*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -266880 at most as big as -266881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5404 = -3*b, 5*b - 9058 = -724*c + 728*c. What is the smallest common multiple of 196 and b?\nAnswer: 25284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/8*-17*(-26)\/2613. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*p - 83*p - s - 39 = 0, -5*p - 3*s = 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.13 - 0.23. What is the second smallest value in g, 3, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 213 - 34. Suppose 185*a - x*a = 48. Solve 14*p - a*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 4 + 3. Let v(s) = s**3 + 26*s**2 + 6. Let g be v(-26). Let z(q) = -7*q**2 + 5*q**3 - 47*q - g*q**3 + 9 - 42*q + 136*q - 49*q. Calculate z(m).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - k - 232, -6*k - 226 = 3*c - 2*k. Let q = -68 - c. What is the highest common factor of q and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/8 + 9*b**3\/8 - b**2\/8 - 9*b\/8.\nAnswer: b*(b - 1)*(b + 1)*(b + 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, 6, 2\/17, 0.07 in decreasing order.\nAnswer: 6, 2\/17, 0.07, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 227896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27.3*-4.\nAnswer: 109.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -637713, -637972, -638245, -638538, -638857, -639208, -639597?\nAnswer: -640030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 644 - 656. Let z(t) = 2*t**2 + 25*t + 11. What is z(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-24) + ((-12)\/(-16))\/(9\/(-78))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - -5. Let o = 16 - d. Let s = -1.54 - -1.52. What is the second biggest value in -0.3, s, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 26 - (-2 + 1 + 2). Let h(y) = y**2 - y - 3. Let o = 11 - 8. Let k be h(o). Solve -4*n - 2*a = 7 + 3, 2*n - k*a = -b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 71 - 3 = 3*t, 2*t - 34 = -5*j. Calculate the least common multiple of 260\/t + (-14)\/(-77) and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3))**35\/(f**(-4)\/f**(2\/5)) assuming f is positive.\nAnswer: f**(-284\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -21*j**2. Let g = 16 + 34. Let r(c) = -2*c + 50 - g. Determine r(y(l)).\nAnswer: 42*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4)*122\/65. Let t be (-62)\/78 - (-10)\/(-15). Let l = t + g. Which is bigger: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -310\/17, 28, 2.408 in descending order.\nAnswer: 28, 2.408, -310\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 116?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q = -12*q + 8. Solve q*j - 12 = -0*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29\/42 + -5\/14. Let i = 5.2 + -5. Is v != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96010, -383956, -863866, -1535740, -2399578, -3455380?\nAnswer: -4703146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 24. Let g be u(11). Let a = -86 - g. Suppose 6*l - 2*l = -12, 3*l + 394 = 5*v. Calculate the greatest common divisor of a and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173.6579 litres to millilitres.\nAnswer: 173657.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9933 and 231?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-1344)\/72*(-1 + -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -121*h + 1\/18*h**4 + 432*h**2 - 2 - 8*h**3. Determine w, given that n(w) = 0.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k + 7300. Let o(g) = -103*g. Calculate o(b(f)).\nAnswer: -206*f - 751900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p**2 - 6*p + 1. Let w(j) = -12*j**2 - 12*j + 2. Let r(v) = 7*g(v) - 4*w(v). Is r(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 26569 + 1\/4*b**2 + 163*b.\nAnswer: (b + 326)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 555 (base 10) to base 3\nAnswer: 202120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -11*j**2 + 2*j + 1. Let s be r(-1). Let k be (-10)\/s + 1\/6. Sort -1, k, 3 in decreasing order.\nAnswer: 3, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -407, 0, -5, 4 in descending order.\nAnswer: 4, 0, -5, -407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 20 times 6648.7\nAnswer: 132974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**4\/4 - 4*x**3 - 9*x**2 + 10*x - 2. Let v be b(14). Suppose 30 = 3*s - v. Is 12 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*i - 2 + 20*i - 17*i)*(-10 - 43 + 8).\nAnswer: 1305*i + 90","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 4:07 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -3 (c) -2 (d) -3\/8 (e) -27\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (12 - 11) + -5 + 0 + 5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q + 1. Let j(h) = -h - 1. Calculate -2*g(o) - 10*j(o).\nAnswer: 2*o + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (84\/16 - 4) + -1. Suppose -p - 3 = p - 3*z, -3*z = p + 6. Which is smaller: p or j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3242 and 3571063.\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -167931 and -0.06?\nAnswer: 10075.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 7, 587, 5\/44?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 9*p**2 + 15*p - 9. Let n be 8\/(-16) + 18\/4. Suppose 0 = -2*c + n*c + 22. List the prime factors of v(c).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 5*b = -8*c - 16, 0 = 4*b + 16. Let m be 63\/(-15) - 5\/(-25). Let r be (-23)\/(4 + (m - c)). Round r to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -0.041?\nAnswer: 0.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*h**2 - 764*h + 764*h as l + m*h**2 + t*h and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -3*m**3\/2 + 4*m + 2. Let y(u) = 17*u. Give 7*s(x) + 4*y(x).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-3 + 33\/15). Sort -0.5, c, -3\/8 in ascending order.\nAnswer: c, -0.5, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (38\/114)\/(16\/6)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1508939 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*g - 81. Calculate the remainder when 31 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**3 - 81676*k**2 + 81704*k + 490080.\nAnswer: -4*(k - 3)*(k + 2)*(k + 20420)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by (1 + 53)\/((9\/(-2))\/(-3))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*n + 9*n = 2*v + 50, -3*v = -n - 7 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 36 + 19*f + 35 - 105.\nAnswer: 19*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {k: 10, i: 2}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w + 56458970 = -11842630. Let k = w - -846560. What is k rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/18 and 85\/189.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*v + 7*o, 4*o = -v - 8. Let i(r) be the third derivative of 0 - 3*r**2 + 1\/20*r**5 - 1\/8*r**v + 1\/6*r**3 + 0*r + 1\/120*r**6. What is i(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2146)\/(-2) - 396\/44. Calculate the greatest common divisor of 399 and u.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddldrrrrdr. What is prob of sequence dd?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 368 + -324. What is the remainder when g is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 5*x - 30, -14*x - 18 = -c - 17*x for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (720\/175 + -4)\/(4\/10). Let j = -0.542 + 0.042. Let g = 75 - 299\/4. What is the smallest value in j, g, 1\/8, f?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**3 - 451177*j**2 + 2789*j - 201 wrt j.\nAnswer: -12*j - 902354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*b**5 + 6*b**3*k**3 + 6*b*k**3 + 3*b*k**2 wrt b?\nAnswer: 300*b**3 + 36*b*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v - 5. Suppose 4*b - p + 16 = 0, 0 = 2*b + 2*p + 8. Let f be x(b). Solve f*u + 4 = -2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208162 (base 9) in base 15?\nAnswer: 26b62","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 34*d - 646. Let o(a) = 7*a - 129. Let q(z) = 16*o(z) - 3*y(z). What is q(15)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5258*x - 5134*x - 4667*x + 12894*x.\nAnswer: -2165*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 613*j - 249*j + 2740*j - 4. Let q be f(1). Round q to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 3*a - 120. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(2057)*5)**2*2 + -4.\nAnswer: 2571246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by -26.\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 12*m**3 - m**2 + 377*m - 2285. What is b(6)?\nAnswer: 2533","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1))\/w*w\/(w\/w**9*w))**0 assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 6 = 0, -2405*w = -2408*w - 7*a + 2*a + 10*a + 12 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 1 - 3 - 2) + 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21267 and 612?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((480\/30)\/16)\/(4\/1484*7)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 11?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -69)*(26\/3 + -11). What is the highest common divisor of 805 and k?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/722304 and 149\/3648.\nAnswer: 722304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 12:36 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.121997kg in tonnes?\nAnswer: 0.006121997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.674 - 1245.556. Let j = l + 1253. Let m = 11.9 + j. Round m to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2060447 is divided by 33774?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - (3 - 4)) + -16 + (40 - 20) + -15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2. Let t(w) = -w**2 + 7152. Determine t(v(c)).\nAnswer: -c**4 + 7152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jdvj when four letters picked without replacement from jjdhjhhhjv?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -516*l**3 + 9*l**2 - 38*l wrt l?\nAnswer: -3096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffofggofgqoogofo. What is prob of picking 1 o and 1 q?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - -10. Suppose 15*z - 10*z = -105. Let v = z + w. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*q**3 - 697*q**2 - 3*q**3 - 1929*q**2 + 13*q**3 - 6*q**3 + (0 + 0 - q)*(0 + q**2 + 0).\nAnswer: 12*q**3 - 2626*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126, 147, 182, 237, 318, 431?\nAnswer: 582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 2)*(0 + 0 - 2) - 9 + 13 - 11)*(-9*r**3 + 0*r**3 + 0*r**3).\nAnswer: 45*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1489?\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 25*w**2 - w + 1. Let u = 139 + -34. Calculate the remainder when u is divided by y(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36a (base 15) to base 14.\nAnswer: 3d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -8600, 3 in descending order.\nAnswer: 3, -14, -8600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 657 or 8\/5?\nAnswer: 657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23833059, 23833060, 23833061, 23833062?\nAnswer: 23833063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -190021*s + 1710154. Calculate t(9).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five quarters of a microgram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (42*1)\/((2 - 4)\/1). Is 5 less than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -45*v**2 + 42*v**2 + 29*v**2 - v**4 + (0 + 4*v + 0)*(21*v**3 + 10*v**3 - 6*v**3) + 2*v**4 + 0*v + 0*v.\nAnswer: 101*v**4 + 26*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of v**3\/3 - v**2\/2 - 9. Let u be s(-1). Solve 2*k - 4*k - 14 = u*p, -2*k - 11 = p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one twentieth of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k - 4*l = 16*k - 402250004, -3*k - 241349999 = l. Round k to the nearest 1000000.\nAnswer: -80000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 75 = -360. Let m = 40 - 9. Let b = w - m. What is the remainder when b is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 42.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-1 + -1) - -4. Let q(m) = m**2 - 5*m - 20. Let v be q(7). Suppose 0*o = -5*o + s + 20, o = 4*s - 15. Sort v, p, o in descending order.\nAnswer: o, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -432209.661548744167 - -0.531551744167. Let s = 432210 + p. Let w = s - 0.87. What is w rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274060 is divided by 46?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + (2 - 4) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -5*q - 4*v, 5*q - 3*q = 4*v + 16. Let x be (-1)\/(2 + (-22)\/12). Let d be (2\/x + -1)\/q. What is the nearest to 0.1 in -5, d, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1296?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28530609 a multiple of 271?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 5*c**2 - 3*c - 4. Let w(h) = -2*h**3 - 6*h**2 + 4*h + 5. Let x(b) = -4*i(b) - 3*w(b). Let l be x(-2). Let y = l - -43. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 20120202021202011?\nAnswer: -20120202021202001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29\/160 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 7*u - 37. Let y be s(7). Let m be ((-1)\/3)\/(-3 - (-34)\/y). What is the greatest common divisor of 88 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10743 or -10745?\nAnswer: -10745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + (sqrt(832) + -2)**2 - sqrt(832)).\nAnswer: -40*sqrt(13) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -140604276 divided by 46868092\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 4. Let u be (2 + c\/(-2))*4. Suppose u*l - 35 = l. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -395559, -395557, -395555, -395553, -395551, -395549?\nAnswer: -395547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 (base 15) in base 12?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (-3 - (-136)\/4). Let d(j) = 30*j + 38*j + l*j - 107*j. Let n(t) be the third derivative of -t**4\/8 - t**2. Calculate d(n(b)).\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -46772626 (base 8) to base 2\nAnswer: -100110111111010110010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mwtwwwtwwmwwmww. Give prob of picking 4 w.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2286\/(-21717)*57\/(-9).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49\/3 + -67\/12. Calculate the common denominator of n and -35\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + 1 + (2 - 3). Sort d, 5, -7 in ascending order.\nAnswer: -7, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -5, 6, 1709, -11 in ascending order.\nAnswer: -11, -5, -1, 5, 6, 1709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 + 0.34. Let b = y + -0.04. Let h be 0\/2 + 1\/(-3). Put h, b, 2 in decreasing order.\nAnswer: 2, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 157, 316, 475, 634?\n\"Answer: 159*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 20 - 31 - -24?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24047011 to the nearest integer?\nAnswer: 4904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**2\/3 - 40*j + 1566 = 0.\nAnswer: -87, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24003 - -53669\/2. Is m at most as big as 2833?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbbipbhpbdbpphpdtpib. Give prob of picking 1 t and 2 d.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cwnwzwwzwqwqggwwwzq. What is prob of picking 2 q and 1 g?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + 155*k - 3693. What is l(-176)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f**3 + 502180*f**2 + 2675820 wrt f?\nAnswer: 3*f**2 + 1004360*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 6:11 AM?\nAnswer: 349","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 963662091 a multiple of 8828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 2. Let m be 3\/4 - 90\/(-8). Suppose -m = -y - n*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1957 to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -545 - -610.8. Round q to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*s**4 + 156*s**4 - 129*s**4)*(-s - 4*s + 6*s)*(23 - 21 + 14).\nAnswer: 1136*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 243.74 + -0.2?\nAnswer: 243.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 + 24.7. Let l(d) = -d**3 + 9*d**2 + 86*d + 59. Let c be l(15). What is the closest to c in z, -5\/4, -0.5, -2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128871472?\nAnswer: 2, 127, 63421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9d0 (base 14) to base 3\nAnswer: 2200002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + -28.5. Let k = -7491.8 + 7492. Let r = -0.3 - -0.4. What is the closest to 5 in k, c, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 9:55 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -691 + 690.5044. Let c = w - -0.5. What is c rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0\/h)**(7\/11)\/(h\/h**(-2\/3)*h)**(-30\/11)*(h**(-4)\/h**(-4))\/(h**(1\/7)\/h**(-1\/7)) assuming h is positive.\nAnswer: h**(489\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 858*f + 12807 + 17223 for f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 264*y - 266*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25032254.\nAnswer: 2, 13, 962779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-1))\/k)**(-43)\/(k\/(k\/k**(-1\/4)))**(-47))\/((k\/((((k**0\/k)\/k)\/k)\/k))**(2\/7)*(k*k**(-2\/5))\/(k**(-2\/5)*k)) assuming k is positive.\nAnswer: k**(-1573\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*d - 68*d - 78*d = 52250. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 156, 145, 120, 75, 4, -99, -240, -425?\n\"Answer: -q**3 - q**2 - q + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14726 and 222.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 959 divide 170118928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 128.74670457 rounded to one decimal place?\nAnswer: 128.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*r + 32*r + 4. Let y(m) = -m**2 - 2*m + 2. Let a be y(r). Find the second derivative of -7*k - a*k**4 + 0*k**4 + 14*k**5 + 2*k**4 wrt k.\nAnswer: 280*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -26*c + 125. Let n(l) = -29. Let y(p) = j(p) + 4*n(p). Give y(4).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0799676 + 0.08. Round f to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5808)*-5*-1.\nAnswer: 220*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 62*g. Let j(z) = -38*z. Determine s(j(t)).\nAnswer: 1444*t**2 - 2356*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 33*n + 66. Let p be y(-31). Is 1 + p - 19\/(57\/(-66786)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y**3 - 19*y**2 + 13*y - 547. Is 54 a factor of k(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12232 - 11?\nAnswer: -12303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**5 + 1385166*w**4 - 239839068772*w**3 + 1199126086060*w**2 + 5995976720550*w - 29979017880250 = 0. Calculate w.\nAnswer: -5, 5, 346289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 311*u - 292*u - 119, 4*d - 12 = 4*u for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.7 - 4. Let p = 0.79 - l. Let z = p - 0.089994. What is z rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51739523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 5*n**2)*(-2 + 1 - 1)*((-1 + 0 + 0)*(-5 + 3 + 4) + 1 + 1 - 3) to the form k + t*n + o*n**2 and give o.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1527.7 - -1528. What is the biggest value in s, 0.4, 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -7*i - 1680. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-10) - (-216)\/(-405). Let s = -125 + 125.2. Let u = -0.9 + -0.1. Sort s, u, t in ascending order.\nAnswer: u, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -1)*3\/((-6)\/(-49)). Which is greater: h or -53?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2308, -3\/17, 2?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 0*t + t)*(-43*t**3 + 27*t**3 - 68*t**3).\nAnswer: -84*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -9.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2067*k**2 - 6200*k\/3 + 1\/3 = 0.\nAnswer: -1, 1\/6201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 3*n + 3, 3*n + 19 = 5*a - 2. Suppose 2*x = -4*i + 4*x + 2, -i - a*x + 4 = 0. Solve 4*k + i + 15 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4982 is divided by 118?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 1052230515?\nAnswer: 1052230512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 6 = -4*g. Let n be 39\/26 - g\/4. Sort n, -5, 3 in decreasing order.\nAnswer: 3, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 236\/(-1652)*42\/10.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -dc2?\nAnswer: dc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -22356 (base 9) to base 10\nAnswer: -14874","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**1\/r)**(24\/11))**(-2\/11))**(33\/2))**(-21) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 2*s)*(-3 + 3 + 1)*(1252 - 1747 - 1454 - 1688) in the form h + x*s and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.69 - 35.31. Let z = p + 33. Let w = -3.00036 - z. What is w rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1454779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6000 and 816?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-2)\/((-80)\/1035) + 5\/40 and 65?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 46*n = 56*n - 20, -16 = 5*t + n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-26))\/k**26 assuming k is positive.\nAnswer: k**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10\/3*(-36)\/48\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-39))\/((-236)\/24 + 10). Which is the nearest to k? (a) 5 (b) -3 (c) -5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f + 52515 - 52515.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 105 + -99. Let y = -5 + -6. Let v = c - y. List the prime factors of v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (0 + 1 - -2) + -10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**4 - z**3 - z**2 + z. Let l(g) = -16*g**4 - g**3 - 23*g**2 + g. Let c(k) = -a(k) + l(k). What is the third derivative of c(m) wrt m?\nAnswer: -408*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 2*l = -3*v + 1, -5*v - 25 = -5*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 4*z**2 + 8*z + 5. Determine y(4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -8*o**2 + 4*o - 2. Let q be r(3). Let h be q\/(-35) - 18\/90. Let a be 5*-1 + 1*80\/10. Which is smaller: h or a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1)\/o*o)**(1\/47))**(-1)\/((o\/(o\/o**1))\/(o*o*o*o**(-2)*o))**(-7) assuming o is positive.\nAnswer: o**(-328\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-3))\/(1\/3). What is the second smallest value in -0.4, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -4*o + 2*o - j, j - 53 = 3*o. Let n be 9\/2*(-24)\/o. Solve 0 = -2*d - n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61270 = 168*z - 37878 - 115892. Calculate the highest common divisor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -64 + 66. Let n be 1 + (-3 - 0 - -1). Let w(z) = -3*z**3 + 2*z**2 + 2*z + 1. Let a be w(n). What is the greatest common divisor of k and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 2*v - 6*v + (2 + 1 - 4)*(-v + 0*v + 3*v))*(32*v**2 + 282*v - 282*v)*(-7*v + 5*v + 5*v).\nAnswer: -384*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x + 53. Give j(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3)**12*(o**(-1))**(-3\/34) assuming o is positive.\nAnswer: o**(1227\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -898000, -1795997, -2693992, -3591985, -4489976?\n\"Answer: w**2 - 898000*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 12:31 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + k - 10 = 0, 4*k = 4*w + 1660 - 1668 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -988 divided by 24256?\nAnswer: -247\/6064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/9 - -5\/36. Let z = -365\/12 - -61\/2. Which is the fourth biggest value? (a) 0.1 (b) -2\/13 (c) x (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 12*w**2 - 12*w - 48. Let y be t(-8). Suppose 0*d - y = -6*d. What are the prime factors of d?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1020 and 417186?\nAnswer: 70921620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.672745 - 0.06287. Let s = x + -0.61. What is s rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = 2*d + 13. Let c = -197\/3 - d. Factor 0 + c*i**2 - 2\/3*i.\nAnswer: i*(i - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.0000038 - 7. What is d rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134531389 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + 11. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189928409.\nAnswer: 11, 17266219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/5251 + -162799\/47259. What is the common denominator of s and -83\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 774805352?\nAnswer: 2, 96850669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -28a32b (base 14) to base 13\nAnswer: -3a534a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 171 and 1390717?\nAnswer: 237812607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 130?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3437776.\nAnswer: 2, 29, 31, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 5*i**2 - 3*i - 14. Let s be g(6). Which is the second smallest value? (a) -1 (b) 0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 129*j**2 - 2*j**4 - 504*j + 143*j**2 - 467*j**2 - 1 + 135*j**2 wrt j.\nAnswer: -24*j**2 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24347444089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -16983384 divided by 1?\nAnswer: -16983384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24419 (base 16) to base 7.\nAnswer: -1155650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 634332 (base 15) to base 8\nAnswer: 22007253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2016)\/(-315) + 3*-2. Let r(f) = f**2 + f + 1. Let l be r(0). Let y be l\/(-4)*9 - -2. Which is the nearest to 0.3? (a) j (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 - -44.2. Let y = 0.71 - -2.29. Let j = u - y. What is the second smallest value in j, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-46145)\/(-9009) - (-9)\/(351\/6)?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-45) + 1717408\/210 + 18. What is the greatest common factor of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 4*h - 13 = 0, -91 = -7*l - 3*h - 36 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 91704?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 g, and 2 i when four letters picked without replacement from gisiigiigw?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fn when two letters picked without replacement from {n: 10, h: 6, f: 2}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 14 = -5*n, 2*s - 5*n - 5 + 7 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 7) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/(-76))\/(1 - 137156505\/137156508). Let z = -5409590 - p. Let r = z + -4480. Calculate the common denominator of r and 73\/6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of -2*z**2 - 5*z - 24. What is s(5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -201 - -306. Let j = 104.999789 - k. What is j rounded to five decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 6) to base 9.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.3 - 0.3. Let y = 0.296 + -4.296. What is the second smallest value in 0.02, y, s?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 6*z**2 + 6*z + 9. Suppose -4 = o + 1. Let g be l(o). Solve -2 = -g*d + 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1601449*s**4 + 1577357.\nAnswer: 6405796*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -84*b + 40 + 71*b - 12 - 13. What is w(4)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 10:00 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.108 + -0.012. Let i = 0.01 - z. Let t = i - 0.33. Which is the second biggest value? (a) 0 (b) t (c) 0.1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 440 and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(3) - (sqrt(3) - (sqrt(3) + sqrt(3) + sqrt(75)))))**2 - (4 + (sqrt(3) - (-2 + sqrt(3)))**2).\nAnswer: 5284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1894488 is divided by 947163?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 12:09 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -185*g**2 - 189*g**2 + 514*g**2. Let k(u) = -18*u**2. Calculate k(j(q)).\nAnswer: -352800*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 784 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -32172 divided by -6\nAnswer: 5362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -523 = -5*u - b + 2536, -2*u = -b - 1218. What are the prime factors of u?\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 5. Suppose -3*l - 47 = -s*l - 5*f, 5*l + f - 60 = 0. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2150 + -2125.49. Let k = g - 25. What is k rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000005063937 to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (127\/(-1397))\/(7\/(-462))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**2 + 332. Let u(q) = -2*q + 88. Calculate u(w(v)).\nAnswer: 4*v + 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(363)*2.\nAnswer: 66*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i + 4. Let l(t) = -t - 1. Let h(p) = -12*p + 7. Let j(v) = h(v) - 4*l(v). Let r(b) = 4*j(b) - 11*u(b). Let o(k) = 2*k**2. Give o(r(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 6:38 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -96 + 56 + 61 - 8*j + 87*j**2 + 48*j - 18 as n*j**2 + f + d*j and give n.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -174910 rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202 (base 4) to base 14.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 234897185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 855226 a multiple of 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.023 + -105.977. Let x = -108 - g. Which is the biggest value? (a) x (b) -0.1 (c) 0.3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 - 29*w - 206. Let f be c(-18). Let i(l) = l**3 + 7*l**2 - 8*l + 4. Give i(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a - 4*a**3 - 30 + 2*a**3 - 2*a - 318*a**2 + 345*a**2. Let u be c(13). Let p = 136 - u. What is the lowest common multiple of 40 and p?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 10:49 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -d**5 - 20*d**4 + 290*d**3\/3 + 40*d**2 - 285*d + 615. Determine f so that z(f) = 0.\nAnswer: -19, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 + 36 = -88*d + 100. Solve 0 = -d*h - z + 11, -57*h + 20 = -54*h + 5*z for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 41*m**2 + 55*m - 1877. What is the units digit of z(20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*n + 3 = -6, 0 = -3*b + 5*n + 33. Let i be (-4)\/(-1) + (36\/b - 10). Solve i = 5*r + 6 + 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, k: 2, b: 9, z: 5, s: 1}. Give prob of sequence skzp.\nAnswer: 1\/7344","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 32 = 2*f, 10*f = 8*f + 2*o + 2 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -292 - -292.066. Let w = 0.234 + q. What is the biggest value in 5, w, 26, 0?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o = 8*o. Suppose 4*h + 3*b = 16 + 5, -4*b - 20 = o. Solve 0 = -h*s - 11 - 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 971027*f**3*t**2 - 911994*f**2*t**2 - 2*t**2 wrt f.\nAnswer: 5826162*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by 7306.\nAnswer: -21\/7306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/65 - 446\/(-26). Suppose 0 = 3*c - t + 5. Let p be (-10)\/25 + (-6)\/(-2). Is c at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kbbk when four letters picked without replacement from {k: 13, b: 5}.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 9\/40, -1\/10 in ascending order.\nAnswer: -1\/10, 9\/40, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 1\/2*d**2 + 0*d**5 + 63 - 47\/6*d**6 + 0*d - d**3 + 0*d**4. Find the third derivative of v(c) wrt c.\nAnswer: -2820*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*q = -2*q + 43725. Let p = q - -15882. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*k + 17 = -293 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 4:49 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -320302 - -3?\nAnswer: -320244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6952698 plus -0.15?\nAnswer: -6952698.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -0.1, 35\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 15 = 0, 2*b = 7*b + i - 768. What are the prime factors of b?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000070597623 rounded to 6 decimal places?\nAnswer: -0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/2 - (-6)\/4. Suppose 7*b + 10 = c + m*b, 4*c + 4*b - 40 = 0. Suppose -c = 4*v - 26. Sort v, -1, -3.\nAnswer: -3, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2732.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 62060 and 6.\nAnswer: 372360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29? (a) -2.1 (b) -4 (c) -0.5 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4182955 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - -5)*(-2 - -3*979\/1452).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1786\/99 (b) -0.3 (c) -2\/497\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 5*c**2\/2 + c - 6. Let q be v(4). Solve 2*p - f + 6*f = -q, -3*p - 3 = -2*f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -8*f**3 - 15*f**2 + 20*f - 12. Let q(d) = -2*d + 7. Let t be q(9). Let r(c) = 3*c**3 + 5*c**2 - 7*c + 4. Let g(p) = t*r(p) - 4*a(p). Determine g(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1297816 and 4?\nAnswer: 1297816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 0 - (-11 + 3 + 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3954027121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18\/29, 56726, 0.1 in ascending order.\nAnswer: -18\/29, 0.1, 56726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -3*u - y, -2*u - 8*y = -3*y + 36. Let v be u\/20*-5 + 18. Solve -3*n + 2*f - 15 = -0*n, -5*n - v = -2*f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 558*o - 1. Let i(u) = -u**2. Calculate t(i(x)).\nAnswer: -558*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.07823722438 - 9?\nAnswer: -18.07823722438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -88, -471?\nAnswer: -471","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11928 or -23.15?\nAnswer: -23.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 18 = -4*m. Solve -i - m + 4 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -15 + 17 + -18?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -24.1 (b) -1 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-11)\/k)*k)\/k**(1\/10)*k\/k**(10\/11)*k*k\/k**(-18)*k assuming k is positive.\nAnswer: k**(3849\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -10*s + 0 + 1\/6*s**3 + 3\/2*s**2. Let h = -24 - -17. Give f(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 91 = 3*l, 4*l = 122*s - 123*s - 130 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1051483541 minus -0.8401?\nAnswer: -1051483540.1599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/40*7\/(238\/3)*(-160)\/24?\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djdqjajijfijdjqjddii. Give prob of sequence dji.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8361360 and 30240.\nAnswer: 16722720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.1*-785.\nAnswer: -3218.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 35701316 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 494 = -3*m, 3*y - 617 = -5*m + m. What are the prime factors of m?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 25 (b) 4 (c) 1.15 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*n - 24*n + 109*n**2 - 33*n**2 + 17*n wrt n?\nAnswer: 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411 is divided by 104?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**5\/60 + t**4\/24 + t**3\/6 + 2*t**2. Let f(v) = v**2 + 4*v + 1. What is -3*c(s) + f(s)?\nAnswer: -2*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1144 - 141?\nAnswer: -1340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3655\/50 + (-1)\/(-2). Let i = g + -74. What is the nearest to i in -2, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 30076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -1\/2, -2\/51, 19.\nAnswer: -1\/2, -2\/51, 2\/9, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/sqrt(81))\/(sqrt(32)*-1 - sqrt(2)) + (sqrt(11) - sqrt(44)\/(sqrt(32)\/sqrt(8))) + sqrt(396)*-4.\nAnswer: -361*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*s = -256, 5*r = -3*s + 6*s + 342. Let t be (r\/(-180) + 4\/(-30))*-26. Find the first derivative of -t*q + 6*q**2 + 5*q**2 - 4 + 13*q wrt q.\nAnswer: 22*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2410326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -274636.04099946 + 274636. Let r = -5.159 + 5.2. Let b = r + l. Round b to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*l - 23*l - 4. Let a be (-5)\/(-6) + l\/(-4)*0. Is 1 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16344 (base 7) to base 14\nAnswer: 1994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q + 7. Let x(b) = 12 + 2*b + 3*b - 2. Let r(p) = -8*m(p) + 5*x(p). Let n be r(6). Is -1 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5098557300 rounded to the nearest one million?\nAnswer: -5099000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 + (-8 - 8) - 8) + -7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2 + (-139)\/(-141). Let s = -2\/141 - b. What is the closest to 2 in 0, s, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.91 - -0.09. Let g = 1.0709113 + -0.0709113. What is the closest to g in a, -5, -2\/3, 30?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29408 (base 10) to base 13\nAnswer: 10502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rs when two letters picked without replacement from ssssvsvsvsssrssvvvs.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2262103*z**2 - 2854365*z wrt z?\nAnswer: 4524206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 7*o + 3*o = -424, 0 = 4*a - 5*o - 809. Let h = 5 - 3. Suppose -a = -h*b + 120. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -751 - 1496 = -3*y. Let q be (-1)\/(-2) - y\/(-14). Suppose -2*s + 129 = -2*o + 29, s = 5*o + q. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 10, y: 3, b: 4, s: 1}. Give prob of picking 1 s and 2 y.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 948*v - 949*v + 5*f = -14, 5*f = -v - 16 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50625?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 73645.2ml?\nAnswer: 73.6452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 242048290 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (10212\/(-125097))\/((-2)\/7)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 37\/(-13) - 6\/39. Let g be k\/6*4 - -4. Let a(u) = u**2 + 3*u + 3. Let r be a(-2). Sort -4, r, g in decreasing order.\nAnswer: g, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28252?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 + -10. Suppose -2*a + 11 = -k, 5*a = a + k + c. Find the second derivative of -a*b + 3*b**2 + 0*b**2 + b - 7*b**2 wrt b.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -5. Let x = 0.2 - 2.1. Let l = x - -2. Which is the closest to l? (a) y (b) 1\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 1\/2*v**3 + 0 - 8*v + 3*v**2 = 0?\nAnswer: -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t - 3. Let l be a(5). Let v be (30\/(-18))\/(5\/l). What is the greatest common factor of v and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**4 + 29*h**3 - 51*h**2 + 31*h - 5.\nAnswer: -(h - 5)*(h - 1)**2*(4*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/145512 and -77\/6768?\nAnswer: 291024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 9) to base 10.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -240*v**2 + 2 + 114*v**2 + 127*v**2 - 2*v to s*v + u + j*v**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5*n + 2. Suppose -4*z + 2 = 26. Let d(x) = x**2 + 5*x - 9. Let k be d(z). What are the prime factors of r(k)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-10\/3)\/x*x**18*x)\/(x\/(x*x**(2\/7)))**(-1\/16) assuming x is positive.\nAnswer: x**(2461\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 plus 687?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10354, 41496, 93410, 166096, 259554, 373784?\nAnswer: 508786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from {l: 3, u: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -8*t - 305. Calculate j(0).\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -5*r + 12 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -100587, -201177, -301767, -402357?\n\"Answer: -100590*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/4826 and 7\/9.\nAnswer: 43434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/2*(-80)\/(-25) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-8)*2)\/(4\/(-16)). Differentiate 42*o**4 - 36*o**4 - v + 1 with respect to o.\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1599709017 to the power of 1\/3, to the nearest integer?\nAnswer: 1170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + i. Let b(f) be the second derivative of 0 - 1\/2*f**3 - 1\/4*f**4 + 3*f + f**2. Calculate b(c) + 5*l(c).\nAnswer: 2*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5377198639?\nAnswer: 15973, 336643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 63.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -62*r**3 + 372*r + 372. Let c(t) = t + 1. Give -372*c(x) + y(x).\nAnswer: -62*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7484 + 0.7044. Do 5 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 175 - 155. Sort 6, v, 1 in decreasing order.\nAnswer: v, 6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00043257 rounded to six dps?\nAnswer: 0.000433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3690960\/121 + 30504. Calculate the common denominator of z and 25\/121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -444209476*n*y**3 + 6*n*y + n + 3*y**2 - 32*y + 803 wrt y?\nAnswer: -2665256856*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -788 by -197.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(132))\/sqrt(6))\/sqrt(11) + 2 + -3 - (sqrt(22)\/(5*(sqrt(11) + sqrt(55)\/sqrt(5) - sqrt(11)))*6 + -2))**2.\nAnswer: -22*sqrt(2)\/5 + 267\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 911486.\nAnswer: 2, 167, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 1503 = -747. What is the greatest common factor of 10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 11:09 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 456\/(-760)*(-100)\/(-5)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 300188 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.21, -1\/10, -0.5, 277.4?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31992 and 7287640.\nAnswer: 677750520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19913, 19915, 19913, 19901, 19873, 19823?\nAnswer: 19745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1667353*i**3 + 34*i + 807202 wrt i?\nAnswer: -10004118*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 133404.7s in nanoseconds?\nAnswer: 133404700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 274\/(-822) + ((-86)\/18)\/(-1)?\nAnswer: 40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.18 * 0.2134\nAnswer: -0.038412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45696\/2856*2\/(-26)*((-1)\/(-8))\/(-1).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(-3)\/(i**4\/i**(1\/3)) assuming i is positive.\nAnswer: i**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 1 = -2, n = -4*z - 3. Suppose n - 4 = -h. Suppose h*p = 5 + 7. Calculate the remainder when 7 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**3 - 93*j**2 - 229*j + 11. Give d(33).\nAnswer: -1012","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1139546 to the power of 1\/4, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + -1298\nAnswer: -1297.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 5*g - 384581960, 10*c = 5*c + 5*g - 640970040. Round c to the nearest one million.\nAnswer: -128000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 452 divided by -1\nAnswer: -452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/64 - 26\/(-40). Let x be 1 + (0 - -1) - -138. Let r = x - 702\/5. Which is smaller: j or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/15)\/((-1)\/5). Suppose -z + 4*b + f = 0, -40 = -7*z + 3*z + 4*b. What is the highest common divisor of 12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18.80502141 - 18.73802. Let p = -0.179 + 0.112. Let f = p + g. Round f to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 5 + 5)*(-20 + 9 + 6)*(9*r - r + 3*r)*(582 - 582 + 262*r**3) to n + j*r + u*r**4 + v*r**2 + t*r**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 41 + 4. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13989.\nAnswer: 3, 4663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153292.\nAnswer: 2, 19, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*r + 3\/2*r**5 + 27\/2*r**3 + 0*r**2 + 0 + 9*r**4.\nAnswer: 3*r**3*(r + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-1)\/(-15))\/(7\/(-15))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136, 271, 408, 547, 688, 831?\nAnswer: 976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 328454781?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 381907026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100377.38 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 5, -7\/5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -77, -2569, 5?\nAnswer: -2569","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(5) - (sqrt(5) + ((sqrt(30)\/sqrt(2))\/sqrt(3) - sqrt(5))))**2 - 3*(sqrt(405) + (sqrt(405) + 3)**2).\nAnswer: -1242 - 189*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2)*o*(o**(-3)\/o*o)\/o)**(2\/11)*(o**2\/((o**5*o)\/o))**(5\/11) assuming o is positive.\nAnswer: o**(-25\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.067 + -0.673. Let u = -0.03 - h. What is u rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(71\/((-11076)\/364) - (2 - 1))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2952.288m to millimeters.\nAnswer: 2952288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 5*k - 4*n - 23, 0 = 5*k - n - 24 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3 - (-35)\/10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*r - 269*r + 38*r - 204 - 209.\nAnswer: -250*r - 413","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 5)*(3*p**3 + 0*p**3 - 5*p**3).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.8, 1\/4, 0.1, -1.44, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -2231.\nAnswer: -2234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 1. Let b(x) = 5*x**3 - x**2 + 4. Let d(l) = l**3 + 87*l**2 - 279*l - 806. Let i be d(-90). Let j = -2 + 3. What is i*n(m) + j*b(m)?\nAnswer: m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 19*q + 4 - 3 - 11*q - 7*q. Let m(r) = -4*r + 8. Let o(f) = 4*c(f) - m(f). What is the first derivative of o(g) wrt g?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/3)\/(10\/(-15)). Let q = v + -5. Suppose -2*f + 22 = 3*c + c, 2*c - 14 = -4*f. Solve q = 2*g - g - f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 42776 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 691520250601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**3 - 36373*f**2 + 7819363*f - 3900588 = 0?\nAnswer: -18399, 1\/2, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 5*f**2 + 5*f - 5. Let x be m(3). Let j(z) = -4*z - 1. Let k be j(x). What is the highest common divisor of k and 496?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17\/(-34) + 3\/((-12)\/(-14)). Suppose i*r - 54 + 301 = 2*l, 3*l + 5*r = 323. Does 21 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + 10010100111001011110?\nAnswer: 10010100111001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**5\/3 - 10*c**4\/3 + 13*c**3 - 74*c**2\/3 + 68*c\/3 - 8 = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1185 in -0.5, -0.1, -4, 2, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 12:31 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 51\/6 + (-1)\/2. Let o = 12 - r. What is the first derivative of -1 - 2*i + o - 1 + 1 wrt i?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.24 + 0.1. Let v = w - 0.06. Let z = 6 + -5.7. Sort v, -1, z in ascending order.\nAnswer: -1, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 121.48 + -120.62368. Round c to two dps.\nAnswer: 0.86","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 176 - 171. Solve -4*p - p = -15, 0 = j*d - 3*p - 16 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**(2\/3))\/p)\/(p*p**(-1\/8)*p))\/(p**(-3\/2)\/p**4))\/((p**0)**(-42))**11 assuming p is positive.\nAnswer: p**(103\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 695, -1\/5, -0.3, -1\/17, 3\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78772 and 1316.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 365653219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5596*z**3 - 3146*z**3 + 14887*z**3.\nAnswer: 17337*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, -6\/7, -14593996?\nAnswer: -14593996","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -80*d - 952. Give i(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**3*n)\/n)\/n)\/(n*n**(2\/15))*(n**(-1)*n*n)**17 assuming n is positive.\nAnswer: n**(268\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 85, 2, -1\/3, -5, 15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 4. Suppose -j*l + 213 = l. Calculate the remainder when l is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 7399 = -7347 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36762.\nAnswer: 2, 3, 11, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**4\/2 + 4503*l**3\/4 + 2259*l**2\/4 - 4503*l\/4 - 2253\/4 = 0. What is l?\nAnswer: -1, -1\/2, 1, 751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**3 - 22*a**2 + 21*a + 1. Let m be n(-12). Suppose 21*q = m*q. Solve 2\/13*r**5 + q - 2\/13*r**2 - 2\/13*r**3 + 0*r + 2\/13*r**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 162\/297 + 8\/(-55). Which is bigger: r or -1.163?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90 - (-66 - 39 - -102).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11\/2 in 0.5, 1\/16, 10, 2\/23?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5255208 by 1313802.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, 5, -2\/43?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6219 = 127*q - 282444. Calculate the highest common factor of 174 and q.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 5*w - 430, -212 = -2*g - 13*w + 17*w. Suppose 618 = -g*a + 3258. Suppose 10*n = 5*n + 40. Solve 4*i - a = -4*m, -4*i - n = -0*i - 4*m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -13. Suppose 3*g + 11 = 4*q, 3*q = 4*g - g + 6. Find the second derivative of -b*x - 2 + 9*x + 2 - 2*x**g wrt x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/((y\/(((y*y**(8\/17))\/y)\/y)*y)\/y)*y)\/(y\/(y\/y**(10\/9))*y))\/(y*y**(2\/65))**(-14) assuming y is positive.\nAnswer: y**(137144\/9945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**3 - 56*g**2 + 52*g + 59. Let b be o(27). Solve 5*f - f = -4*a, -b*a = -5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) -111 (b) -4\/3 (c) 4 (d) 0.1 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 6, z: 4, o: 2}. Give prob of picking 3 e and 1 o.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 445548 and 456999?\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*y - 3*l + 26 = -127*y, -l = -2*y - 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -17*j**2 + 17*j + 14. Let k be ((-10)\/3)\/1*768\/320. Let b(w) = -6*w**2 + 6*w + 5. What is k*b(x) + 3*g(x)?\nAnswer: -3*x**2 + 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.256813 rounded to two decimal places?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29*h**4 + 3323*h + 325136 wrt h.\nAnswer: -116*h**3 + 3323","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 2*i**2 - 3*i + 3*i**2)*(-33480*i**2 - i + 35776*i**2 + 3*i).\nAnswer: 2296*i**4 - 2294*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6659102711 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5694 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1117*f - 1827*f + 958*f + 594*f.\nAnswer: 842*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 5*g + 11*o - 12294, -2*o = -5*g + 12306. What are the prime factors of g?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 33163, 34658, 37151, 40642, 45131, 50618?\n\"Answer: 499*n**2 - 2*n + 32666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 4 - 7)*(-2*z + z + 2*z)*(2353*z + 6210*z + 3828*z) to p*z + c + b*z**2 and give b.\nAnswer: -12391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 14*p - 25. Let i be f(-16). Sort i, 1\/4, 2 in increasing order.\nAnswer: 1\/4, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-48) - (4\/(-46) + (-29043)\/20700).\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28522 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*s + 42. Suppose -5*q - 4 = -2*x + 1, 5*x = -5*q + s. What is the lowest common multiple of x and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 2*q - 16 = 0, 3*q - 134 = 95056*x - 95088*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62\/11*y**2 + 2\/11*y**3 + 432\/11 - 348\/11*y = 0. Calculate y.\nAnswer: -36, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 2*z**7\/21 - 2*z**6\/15 - 18*z**5\/5 - 14*z**4\/3 + 34*z**3\/3 + 30*z**2 + 1832*z. Determine u so that f(u) = 0.\nAnswer: -3, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**11\/18480 + f**7\/2520 + f**4\/6 - f. Let z(h) be the third derivative of u(h). Find the third derivative of z(q) wrt q.\nAnswer: -360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -147 times 2285\nAnswer: -335895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 2:45 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -3\/2*w**4 - 216 - 1\/5*w**5 + 4\/3*w**3 + 0*w + 1\/6*w**6 + 4*w**2. Factor p(o).\nAnswer: o*(o - 2)**2*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-820 + 799)\/((-2)\/2).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2951 or -36.87?\nAnswer: -36.87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 5856, -3, -4.\nAnswer: -4, -3, 5, 5856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**5\/15 + 5*c**4\/6 - 4*c**3 + 25*c**2. What is p in n(p) = 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1295.2806us to minutes.\nAnswer: 0.00002158801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4735964071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 75 = 3*x. Let w = -10 - x. Solve -w*r - 4 = 5*j + 6, -5 = r + 2*j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 523220023 to the nearest integer?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -5*t**4\/4 + 11*t**3\/3 - 4*t**2 + 8*t - 3. Let f(c) = -2*c**3 + 4*c**2 - 3*c + 3. Give 8*f(a) - 3*s(a).\nAnswer: -a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7615, -14982, -21893, -28120, -33435, -37610, -40417?\n\"Answer: 38*a**3 - 7633*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - p = -24. Calculate the remainder when ((-21)\/p)\/((-1)\/12) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -983771*u**3 - 12*u**2 - 6*u - 21 wrt u.\nAnswer: -5902626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**3 - k**2 - 3*k**5 - 3*k**3 + k**3 wrt k?\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -252134*c**3*j**3 - 430*c**3*j**2*q + c**3 - c**2 + c*j**3*q - 9770*q - 10 with respect to q.\nAnswer: -430*c**3*j**2 + c*j**3 - 9770","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3142 is divided by 39?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 10*d**2 + 29*d + 2. Let s be j(-3). Suppose -s*p + 14*p = -36. Let k be ((-1)\/p)\/(8\/128). Is k less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + -4 + 6 + 0. Let z(g) = -g**2 - 5*g + 5. Let p(h) = h**2 + 2*h - 2. Calculate f*p(c) + 2*z(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*k + 111*k - 16257774. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r\/r**10)\/r)\/r)**(-23\/5)\/(r*r*r**(-28)*r*r*r\/r**(-1\/43)) assuming r is positive.\nAnswer: r**(13841\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 19264 divided by -301\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 1341*v**3 + 5365*v**2 - 2*v - 43. Give k(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.21 + -0.01. Suppose -d = -2*y + y - 4, 0 = 2*y + d - 7. Let a be y*(-1)\/5 - 81\/(-105). What is the nearest to 2\/9 in a, u, 2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.00728 + -0.50728. What is the third biggest value in -1\/31, f, 4, 5?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -1071\/19, 15, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91 + 87. Which is the nearest to -2\/5? (a) i (b) 4 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.19 - -80\nAnswer: 83.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 8, n: 5, t: 4}. Give prob of picking 2 v and 1 t.\nAnswer: 14\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6957399?\nAnswer: 3, 2319133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**2 + o. Let d be v(1). Let s be 153\/(-27) + 4\/6. Put s, 3, d, 5 in ascending order.\nAnswer: s, d, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-30)\/(-9)*(-9)\/(-6). What is the third derivative of -c**2 + 2*c**2 - 3*c**2 + 0*c**5 - c**h wrt c?\nAnswer: -60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6670.459mm to micrometers.\nAnswer: 6670459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 751, -46178 in increasing order.\nAnswer: -46178, 2, 751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-6))\/(6\/4*1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92 - 87. Let h = -0.1 + 0.3. What is the third biggest value in j, h, 29?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {p: 1, s: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 127572*x**3 + 127568*x**3 + 2*x - 5 + 9*x**2 + 2 - 1 to the form t + o*x + d*x**2 + a*x**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 1606146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2 + 51*6\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 0) + (1 - (-1 + -1) - 2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 10:46 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -1228*a + 267736. What is w(218)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4123, 16468, 37037, 65824, 102823?\nAnswer: 148028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 plus -165745?\nAnswer: -165181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5626\/(-8439)*(-2)\/((-8)\/366)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b - 5*b - 3*b**2 + 2*b**2)*(-2 + 5 + 5) to o*b**2 + q*b + c and give q.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 364*w**2 + 7*w + 16. Let g be a(-5). Suppose -12*f + 3*f = -g. List the prime factors of f.\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 9*o**2 - o - 1. Let x(d) = 21*d**3 + d**2 + d - 1. What is the lowest common multiple of x(1) and l(-9)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16624?\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5529 - -6327. Calculate the remainder when l is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 0*u + 3*u - u. Let z = 166 - 160. Let o(i) = z*i - 21*i + 2*i - i. Determine o(b(w)).\nAnswer: -28*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 14*m**2 + 26*m + 54. Suppose -o + 5*y + 39 = -3*o, o + 22 = -5*y. Is k(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.02 - 0.02. What is the smallest value in l, 0.06, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2672 - -2672.06667. What is s rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 4, -0.2, 0, -3 in ascending order.\nAnswer: -3, -0.2, 0, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -436 + 8246?\nAnswer: 7710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*z**5 - 1048*z**3 - 39*z**2 - 5346*z?\nAnswer: 540*z**2 - 6288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 0*i**5 - 1\/24*i**6 + 0*i + 1\/6*i**3 + 0 + 0*i**4 + 4*i**2. Differentiate v(p) wrt p.\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-189*q**2 - 185*q**2 + 122*q**2 + 2)*(0*q + 2*q**2 + 0*q).\nAnswer: -504*q**4 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70516?\nAnswer: 2, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 451829906 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -1883*q**2 - 6456*q. Let l(n) = 2*n**2 + 6*n. Give 1076*l(f) + w(f).\nAnswer: 269*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19056121, 38112270, 57168429, 76224604, 95280801?\n\"Answer: t**3 - t**2 + 19056145*t - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*l**3 - 10*l**3 - 11*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -984483 and 0.02.\nAnswer: -19689.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252 divided by 3.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-26)\/(-7) - (-30)\/105) + 136. What is the greatest common factor of q and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2633.384 + -1.89?\nAnswer: 2631.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 312 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 4*h**2 + 2*h - 6. Let l be z(4). Let v = 8 + -8.3. Which is the biggest value? (a) l (b) 5\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63764835*v**2 - 102842486*v?\nAnswer: 127529670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*q**3 - 1018 + 5*q + 970 - 26*q**4 - 8*q**4 wrt q?\nAnswer: -408*q**2 + 54*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**3\/6 + 3*d**2\/2 - 111*d. Calculate o(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v + 8. Let c(q) = 2*q + 9. Suppose 4*p - 3*o = -15, 5*p + 198 = o + 182. Calculate p*c(u) + 4*w(u).\nAnswer: 2*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2)*(-2*o - 4*o + 3*o) + 2055 - 2055 + 11*o + 0*o - 2*o + 4*o + 3 + 5*o - 3 to q + h*o and give h.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 - 71 - (0 + 8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9\/117*(-9425)\/(-29)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 650, 652, 656, 662, 670?\n\"Answer: m**2 - m + 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -17, -0.5, 4\/9.\nAnswer: -17, -0.5, 4\/9, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 7*l**2 - 7*l + 6. Let i be r(6). Suppose -5*q + 6 = -2*q. Sort -5, i, q in decreasing order.\nAnswer: q, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/((-20)\/(-5)) + -6. Let f(y) = 7*y + 298. Let c be f(-27). Put -2, j, c in increasing order.\nAnswer: j, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 964529305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 80.5 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 5*q - 5. Let w = 7 - 6. Let v(h) = 0 + w + 29*h - 28*h. Suppose 0 = 5*z - 4*i - i - 15, 3*z + 3*i = -3. What is z*n(f) + 5*v(f)?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 26 = -50*h + 46*h, 0 = 4*h + 6*k - 46. Which is the closest to 2\/3? (a) h (b) 1\/161 (c) 5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/5 + (14 - 10410\/725). Let y = 14792308 - 12869305531\/870. Let x = w + y. Find the common denominator of x and 16\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 988 - 988.0771. Let x = j + 31.0571. Let g = -31 + x. What is g rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4138842 * -0.59.\nAnswer: -2441916.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 8*i - 15. Does 9 divide w(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 f when three letters picked without replacement from hkkhfffhhcf.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*16\/(-648)*(-9)\/6?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282*m**2 - 561*m**2 - 3597 + 276*m**2 - 3605 - 3601 + 10803.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 44.5145 + -44.335389. Let j = s + -0.179. Round j to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -466 + 6000?\nAnswer: 5645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v - 4 = -7*v. Let u be (v + 1)\/(13 - 12). Does 3 divide u\/2 + -1 - -5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 863115486?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 0 - (1 + -7 + (-223 - -249)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 5:48 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27\/(15\/(-110)*-1)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*m**5 + 2*m**3 - 2*m + 321?\nAnswer: -360*m**3 + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 560*h - 1287 = 703*h. Which is the smallest value? (a) -0.2 (b) h (c) 1\/7 (d) -2\/3 (e) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 663 + -659. Sort 2, 71, 3, h in descending order.\nAnswer: 71, h, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**3 - 15*a + 10 = 0. Calculate a.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uojjjujo. Give prob of picking 2 j.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 578 is divided by 306?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 5105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4268\/(-6) + 7\/21. Let a = s + 1012. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 116\/7 in 1, -3, 36870?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.12 - 0.109. Let c = -0.186 - b. Let t = c + -0.013. Round t to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*c + 8767 = -84*c. Suppose -10*r + 43 = -c. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1653, 3922, 7703, 12996, 19801, 28118?\n\"Answer: 756*n**2 + n + 896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17728, -35445, -53140, -70795, -88392?\nAnswer: -105913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.7 times -4?\nAnswer: -50.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + -1*sqrt(1377) + sqrt(1377) + -5)**2.\nAnswer: -90*sqrt(17) + 1402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*x - 75*x = -139. Let y = -273\/2 + x. Let m = y - 1. Sort 5, m, 0 in increasing order.\nAnswer: 0, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3344138023 to the nearest integer?\nAnswer: 57829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**2 + 5*o - 8. Let l be p(-4). Let t = l - 2. Calculate the remainder when 34 is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 934*q**2\/7 + 66504*q\/7 + 320760\/7 = 0. What is q?\nAnswer: -66, -2430\/467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1520, 1518, 1506, 1478, 1428, 1350, 1238?\n\"Answer: -s**3 + s**2 + 2*s + 1518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-128)\/40)\/((-24)\/(-60))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 14*c**2 + 14*c - 12. Let s be o(-15). Suppose 5*n + s*u - 308 - 318 = 0, -4*n = -4*u - 520. What is n rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 383602877.\nAnswer: 7, 137, 269, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 11 = 9. Let n(w) = -6*w + 1. Let u be n(k). Is (-4)\/(-20) + (-2394)\/u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1747363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 31?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = -4*g + 4*s, 0 = -3*g + 66*s - 64*s + 43 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*z + 12. Suppose 5*q + x = 18, -3*q - x = -0*x - z. Suppose 24 = q*g - g. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5956505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5708, -11393, -17058, -22703, -28328, -33933, -39518?\n\"Answer: 10*x**2 - 5715*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -203*w - 119. Is 11 a factor of v(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-180)\/(-1900) - 1\/5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1659 = -m - 5*p + 22, m - p - 1681 = 0. Suppose 0 = 3*f + 2*u - m, 4*u = 5*f - u - 2760. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + 8e244?\nAnswer: 8e23e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300 = 54*q - 20*q - 4*q for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 996, 3928, 8790, 15576, 24280, 34896?\n\"Answer: -p**3 + 971*p**2 + 26*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12\/138 + 26016\/(-12466)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66600000 = 4*d - d. What is d rounded to the nearest one million?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2198 + 1098 - g + 1100.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 l when three letters picked without replacement from {q: 1, k: 3, a: 4, l: 3}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 24. Solve -4*j - j + 12 = 2*c, 2*j - d = -2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8289846um in kilometers?\nAnswer: 0.0000000008289846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -8.5. Let m = 0.5 - b. Let v = -2\/12529 + 37667\/501160. Put 0.3, m, 4, v in decreasing order.\nAnswer: 4, m, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-11 - -23) + -24.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*1 - sqrt(88))*-1*-2)\/(1*sqrt(648)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 32402300 to the nearest 100000.\nAnswer: 32400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 13534346.23 to the nearest 100000.\nAnswer: 13500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6*i = 2*i + 18, -2*i = 2*f - 14. Suppose -178 = -f*t + 12. What are the prime factors of t?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 116954259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((0 + -3 + sqrt(125) + sqrt(125) + sqrt(125) + sqrt(125) + 3*sqrt(125) + -3)*-3)**2*-2.\nAnswer: -30240*sqrt(5) + 443592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.219 + -0.019. Let n = -0.8 + 1. Let r = k - n. What is the second biggest value in 1, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25.1*-3914.\nAnswer: -98241.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - ((-4 + -2 - -12) + -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + (-65 - (-15 - 19))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4245127 + 4?\nAnswer: -4245123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*sqrt(19)*2 + sqrt(19)*1 + 2) - (5 + (sqrt(608)\/sqrt(2) - ((sqrt(19) - (sqrt(114)\/sqrt(2))\/sqrt(3)) + sqrt(19))**2)).\nAnswer: 24 + 11*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -132?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -249, -438, -627, -816, -1005?\n\"Answer: -189*x - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*h = 9*h - 20, -2*v = -2*h + 8. Let c(w) = -4*w - 7. Let m(p) = -7*p - 13. Let d(s) = -5*c(s) + 3*m(s). Determine d(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 13 = -25. Is 43 a factor of a*(1000\/(-32) - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4398*t = 4353*t + 720 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 281621, 563168, 844669, 1126124, 1407533, 1688896?\nAnswer: 1970213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/3 in 0, -194.87, -2, -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5770 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: Calculate the greatest common factor of 49414500 and 180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) -4 (c) 0.2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**7\/42 + 23*o**6\/24 + 143*o**5\/12 + 605*o**4\/24 + 326*o**2. Factor u(i).\nAnswer: 5*i*(i + 1)*(i + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -166.5 + 152. Let y = -13.5 - l. Let o = 0.3 - 1.1. What is the closest to y in -3, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1776 - 1768. Sort v, 3\/7, 0.15, 2.\nAnswer: 0.15, 3\/7, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -97 + 132. Let r(o) = -14 - g - 28 + 102 - 3*o. Calculate r(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + p**2 + p**2)*(24*p - 36*p - 41*p) in the form z + c*p + k*p**2 + j*p**3 and give c.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 221488183, 442976367, 664464551?\nAnswer: 885952735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 1 - 4)*(2 - x - 1 - 2)*(-8 - 20 + 2)*(-2 + 3 + 0) as m*x + q and give m.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(2\/7)*y**(12\/5)*(y*y**(-4))**(9\/7) assuming y is positive.\nAnswer: y**(-26\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 11:39 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 - 5)*(-5 + 5 + 2*i).\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3211 (base 4) to base 9.\nAnswer: -274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -200, -224, -248, -272, -296?\n\"Answer: -24*i - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 880 - 863. Calculate the remainder when 116 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35775909 divided by 305777\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 635142*f**2 + 5*f - 41091411?\nAnswer: 1270284*f + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*r**3 + 167*r**3 + 159*r**3 - 479*r**3.\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 + -65. Suppose 2*a - 3*x = 18, 0 = 2*a + x - 3*x - 18. What is the tens digit of a\/2*z\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05105 to three dps.\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-5 + 10)*80\/(-32).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1297750 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1443 (base 14) to base 9\nAnswer: 4825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3. Let u be ((-6)\/(-9))\/((-10)\/15). Let b(j) = 5*j**4 + 53*j**3 + 180*j**2 + 80*j - 320. Let y(c) = u*b(c) + 2*h(c). Factor y(l).\nAnswer: -5*(l - 1)*(l + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 + 36*w + 34. Let l be k(-17). Suppose -3*n + 8 = a + 22, -n = 5. Let f = a + -1. Solve -2*b + 2 + l = f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*h + 3*h - 3*h)*(-2*h**2 + 3*h**2 - 3*h**2) + 6*h**3 + h**3 - 6*h**3 + 3*h**2)*(4 + 1 - 4).\nAnswer: -3*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 518*u - 7. Let n(t) = 254*t - 3. Determine -9*n(h) + 4*v(h).\nAnswer: -214*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 110*j**3 - 19*j**2 + 42*j - 145. Is 273 a factor of m(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -989, -2001, -3013, -4025?\n\"Answer: -1012*s + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3*4\/18)\/((-16)\/8)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 - 13. Is a(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - l - 90. Let z be 74\/9 - l\/(-81). Solve -20 = -0*a - 5*a + c, 4*c - z = -2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -531*l + 439*l = 0. Let d(k) = -5*k + 6. Calculate d(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 487356458 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(833) + 0)**2 + -5)*-5.\nAnswer: -4144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 2 + 3*t + 0*t**2 - 1\/3*t**3 - 1\/4*t**4. Calculate o(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2095.763 and 3.\nAnswer: 6287.289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*v = 1, -5*p - 4*v + 31 + 12 = 0. Suppose 2*b = -4*g + p*b + 1343, 652 = 2*g + 4*b. List the prime factors of g.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/16*(2 + 1). Is -2 greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 4. Let n = 19 - 25. Let f be a(n). Solve -5*l - 3 = -f*u + 5, -2*u + 8 = l for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68782 and 370498?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3435 at most as big as 3441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*c*q*u*x - 2*c*q*x + 34*c*q + 20*c*u*x + 2*c + 2*q + 3*u with respect to q.\nAnswer: -3*c*u*x - 2*c*x + 34*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -x + 1. What is the remainder when (4\/(-14))\/(2\/(-42)) is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -2*y + 41, -6*y - 2921*i + 2916*i + 33 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3375*m - 3224*m + 2416 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-34)\/12)\/(-17))\/((-4)\/(-48)*4). Let x(l) = l**3 + 8*l**2 - 9*l + 10. Let y be x(-9). Let b = -8 + y. Put q, b, 5, -2\/13 in increasing order.\nAnswer: -2\/13, q, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 6*c**2 + 5*c. What are the prime factors of u(3)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 619214117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.881423 nanoseconds to milliseconds.\nAnswer: 0.000000881423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o = -2*q + 19*o + 29259, -58568 = -4*q - 4*o. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 2*a - 18476 - 97*a**3 + 18476.\nAnswer: -97*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 45a9 + 0?\nAnswer: 45a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 + 13 - (29 - 36)) + (1 - 3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.34 + 117.75. What is j rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -2\/337, -4\/3, -3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 + 36. What is the units digit of -2*3\/(-18)*w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 76686 or 76685?\nAnswer: 76686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjtjjjjj. What is prob of picking 3 j?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -35, -33, -47, -83, -147?\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -5\/91?\nAnswer: -5\/91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 733, 1473, 2211, 2947, 3681, 4413?\nAnswer: 5143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12023 (base 4) in base 5?\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18427, -18401, -18385, -18385, -18407?\n\"Answer: -u**3 + u**2 + 30*u - 18457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + -1)*(-40)\/12. Factor -2*y + h - y**2 - 1 - 10.\nAnswer: -(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a microgram in nanograms?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a72 - 1818?\nAnswer: -966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 302\/10 + 1\/(-5). Let o = a - 53. Let i = -14 - o. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.065 and -367336.77.\nAnswer: -367337.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, s: 1, l: 1, o: 1, a: 2, t: 1}. Give prob of sequence aaul.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/35)\/((237\/3318)\/((-5)\/10)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 160287 greater than 160292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*f**4 + 97*f**3 - 7*f**2 - 9?\nAnswer: 192*f + 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**17\/a)\/(a*(a*((a**11*a)\/a)\/a)\/a) assuming a is positive.\nAnswer: a**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, j: 1, v: 2, e: 4, r: 4, s: 3}. Give prob of picking 2 s and 1 r.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + j - 130 = 0, -2*k - 3*k + 307 = -2*j. Does 14 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.058 - 181857.\nAnswer: -181856.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -214 smaller than -215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6968 is divided by 1566.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - i + 74 + 189, -3*v + 168 = 4*i. Let m be (-8)\/(-12)*12\/v. What is the second biggest value in -0.1, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, p: 3}. What is prob of picking 2 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/65 (b) 3 (c) -0.1 (d) -1399 (e) 0.4 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h**2 + h**2 + h**2)*(-2*h**2 + 257962*h + 56 - 257962*h) to the form f + s*h**2 + q*h + u*h**4 + x*h**3 and give s.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 3*i + 28 + 40.\nAnswer: -3*i + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21 and -482?\nAnswer: 10122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-6\/5)\/(m**(3\/4)*m)*m**(-1\/17)\/(((m*m\/m**(-10)*m)\/m*m)\/m) assuming m is positive.\nAnswer: m**(-5103\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*r - 4*k - 64, 5*r + 3*k = 94. Let v = -2 + r. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 5*g**2 - g + 1. Let q(n) = -5127*n**3 + 25*n**2 + 59*n + 24. Let k(y) = -5*l(y) + q(y). Find the second derivative of k(f) wrt f.\nAnswer: -30792*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3195300 and 600?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 474 from 0.4.\nAnswer: -473.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26.3 + 24.3. Sort -1\/5, 3\/5, j, 0.2.\nAnswer: j, -1\/5, 0.2, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(1377) + sqrt(1377) + -2 + ((sqrt(1377) - (sqrt(1377) + 0))*-6)**2)*-1 + 4 + 3 + 0.\nAnswer: -54*sqrt(17) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3*k**3 - 67*k**2 + 0 - 61*k**2 + 13*k + 128*k**2 to the form w*k**2 + a*k + y + z*k**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53414*o - 53387*o = 513 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14257925 is divided by 176.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/20008 and -71\/30012.\nAnswer: 60024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**3*t**3 + 210*j**3*t + 58*j*t**6 + 5*j*t**2 - 2*t**2 wrt t?\nAnswer: 12*j**3 + 6960*j*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279*k - 4048 = -89*k. Solve 5*i - k*i = -24 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 - 84*a. Let q(x) = -216 + 216 - 2*x. Calculate s(q(n)).\nAnswer: 8*n**2 + 168*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1218 + 2983. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 22214 = l - 70403, 0 = -5*l + r + 240987. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 4*(3 + (-161)\/56). Which is the closest to -1? (a) s (b) 4.2 (c) -1\/6 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 260\/761 + 68111\/136980. Find the common denominator of j and 23\/270.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**4\/7 - 18*x**3\/7 - 60*x**2\/7 - 88*x\/7 - 48\/7 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/((-637)\/70)*34293\/355?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3075*f**2 - 8539 wrt f.\nAnswer: 6150*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2562494397 to the power of 1\/2, to the nearest integer?\nAnswer: 50621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 - g**2 + 1 + 6 + (4 - 1 - 1)*(g + g**2 - g) + g**2 - g**2 + 3*g**2)*(-2 + 2 - 3) - 3*g**2 + g**2 - g**2.\nAnswer: -15*g**2 - 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {c: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.9 + 10. Which is the nearest to x? (a) -1 (b) 0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**3 + 11*u**3 + 2*u**3 - 2*u**3.\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 - -3.8. Let a = -3.6 - 0.4. Let v = -9493.1 + 9493. Sort -0.4, l, v, a.\nAnswer: a, -0.4, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzzkmzkzzq. Give prob of sequence kq.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1098 + -1098. Let t = -67\/3 + 65\/3. Let r = -11 - -7. Which is the closest to 8? (a) m (b) t (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -2\/3 (c) -20 (d) -112 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -9, 0.078, -2\/11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 + -31. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 - -36. Suppose 3*x - 12 = 3*p, 5*x = r*p - 4*p - 8. Factor 3\/2*y**3 + 0*y**2 + x - 2*y + 1\/2*y**4.\nAnswer: y*(y - 1)*(y + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 14. Which is smaller: q or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-3\/5))**(-44))**(-4\/23) assuming n is positive.\nAnswer: n**(-528\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.34 - 10.3397245. What is k rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**2 + 6*b + 5. Let l(r) = -9*r**2 + 17*r + 14. Determine 6*l(j) - 17*u(j).\nAnswer: -3*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1354*x = 2079*x + 1907*x + 18424 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4609, 4603, 4597, 4591, 4585, 4579?\n\"Answer: -6*u + 4615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3956 - 3961. What is the second biggest value in 0.2, 0.074, 53, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10136, -10133, -10130, -10127, -10124, -10121?\n\"Answer: 3*j - 10139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/280 and -63\/5108.\nAnswer: 357560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2 - 20859*l - 83425. Give y(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*s - 30, 6 = 148*s - 150*s - 2*v. Solve -162 + s = -20*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/33725 or 1?\nAnswer: -4\/33725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -2\/13, -9\/4, 1, -5615, 2\/23?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-13)\/(-6) - 1) + -1. Let o = -1.88 - 2.12. Put 0.2, l, o in ascending order.\nAnswer: o, l, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(1 + -3) + -8. Let w be (12\/n)\/((-4)\/(-20)). Is (-8 - w)\/(4\/(-154)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 10*m**2 + 11*m + 10. Let f be b(11). Solve 4*v - f = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/21)\/(3\/(-7))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 (base 14) in base 15?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 10*p + 0*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 5:25 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 2. Let s be k(-5). Suppose 4*z = s*y - 16, -2*y - 22 = 5*z - 71. Calculate the greatest common factor of y and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -373.710174 rounded to 0 dps?\nAnswer: -374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 9. Let m(y) be the first derivative of 0*y**3 + 2\/25*y**5 - 3\/10*y**4 + 4\/5*y**2 + i*y + 1. Factor m(d).\nAnswer: 2*d*(d - 2)**2*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**2 - 9441405*b - 18882790 = 0 for b.\nAnswer: -1888279, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**2 - 286*m - 2668. Determine k(-85).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -16, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*h - 651 + 651 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14838 + -14716. What is the remainder when 2047 is divided by h?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 88 = 22. What are the prime factors of s?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 47, -3\/8, -3, -2, -3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -u**3\/3 + 1345*u**2 - 1809025*u + 2426. Factor g(z).\nAnswer: -(z - 1345)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1053*m**2 + 531*m**2 + 522*m**2 - 12*m**3.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*j**2 - j**2 - 48*j**2 + (2*j**2 - 4*j**2 + j**2)*(-2 - 1 + 4) - 12*j**2 + 6*j**2 - 8*j**2.\nAnswer: -92*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -8\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 145, -3, 16, 1, -2.\nAnswer: -3, -2, 1, 16, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from dssu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 228 and 480?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 (base 9) in base 3?\nAnswer: 12002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 1618*g - 64648. Calculate j(-41).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -0*f. Let g = -2 + f. Let c be ((g + 0)*4)\/(-2). Solve -5*w = 5*q, w = c*w - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o + 3. Let w(h) = -57*h - 13. Give -4*s(z) - w(z).\nAnswer: 49*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*v**3 + 2*v**4 + 2 - 2*v**2 - 7*v**3 + 3*v**4 wrt v.\nAnswer: 120*v + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/(-805)*-63)\/((-204)\/850)?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84948.86 litres in millilitres?\nAnswer: 84948860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*i**3 - 2*i**3 + 0*i**2 + 9*i**2.\nAnswer: -15*i**3 + 9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -m - 2*s - s, -18 = -m - 4*s. Does 3 divide 14\/m + (-6)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45135312 + 70604312. What is p rounded to the nearest one hundred thousand?\nAnswer: 25500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 133 - 81. Suppose s - 1060 = -8*k. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1585813, -3, -0.04, -5, 1\/3, -4?\nAnswer: -1585813","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(7488) + (-1 + sqrt(7488))**2).\nAnswer: -14978 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 - 681\/11. Let r = 1\/39 - -73\/195. Let h = 3 + -3.1. Which is the nearest to -0.1? (a) r (b) h (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*1220\nAnswer: 7320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 112 + -109. Suppose -7*p + 2*p - k*t + 25 = 0, -9 = 3*p - 3*t. Suppose -p = 4*b - 14. Solve 0 = 4*g - b*g + 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6252831, -6252833, -6252835, -6252837, -6252839, -6252841?\n\"Answer: -2*f - 6252829","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tq when two letters picked without replacement from bqqhdbdtbtqdhdtqqdb?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8 + 0)\/(-2) + -4. Suppose l = -3*j - j + 28. Differentiate j + 2*d**3 + 7*d**3 + 1 with respect to d.\nAnswer: 27*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-2))\/(-3)*-10. Let x be 14\/g - (-1)\/5. Suppose -x*m = 2*m - 185. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -321685778784\nAnswer: 321685778784.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v. Let m(t) = 3*t**2 + 4*t + 2. Let g be m(-2). Let n(d) = -d + 1. Let z(p) = 4*p - 6. Let q(j) = g*n(j) + z(j). Calculate r(q(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(-24)\/(-12) + 18. Sort 5, h, 1\/14, 3\/2 in decreasing order.\nAnswer: h, 5, 3\/2, 1\/14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/91 in 3, 0, 230\/103, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 17 + 1 = -2*b, 0 = -5*s + 5*b. Let c = s - -5. Is 0.1 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*x**4 + 12*x**4 + 24*x**4 + (-2*x**2 - 3*x + 3*x)*(-1 + 2*x**2 + 1) + 2*x**4 + x**4 - 5*x**4 + 2*x**2 + 2*x**4 - 2*x**2 + 3*x - 3*x + x**4.\nAnswer: 42*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7566602 (base 11) in base 12?\nAnswer: -455641a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c4 (base 15) in base 16?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 - (0 - 4\/(-1)). Solve 5*y + v = 27 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*h - 31 = 4, 0 = -l - 5*h + 5. Let x = l - -17. What is the units digit of 2 + x\/(9\/(-129))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.05 and 733433266682?\nAnswer: 733433266681.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66, 28, -4, -30, -50, -64, -72?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t + 7. What is b(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -8*b**3 - 3*b**2 - 13*b - 21. Give t(-4).\nAnswer: 495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 11:20 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -2\/35, 3, 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 + 0*n**2 - 4*n**2)*(-6 + 3 + 5 + (0 - 1 + 3)*(1 - 2 + 3)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 9, n: 2}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15882?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/90 and 59\/135.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 3*i = h - 9, -2*h + 0 = -3*i - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 + 0.3. Let q = 17 + -12. What is the nearest to -1 in q, w, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -3*y**4\/8 + 11*y**3\/6 + y**2. Let x = 2351 - 2344. Let a(d) = 2514 - 5012 - 13*d + 2514. What is x*s(h) - 5*a(h)?\nAnswer: 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2464105 is divided by 51.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 + (-4 - 1 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1548932650 divided by 50?\nAnswer: -30978653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 171741750 divided by 15?\nAnswer: 11449450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1871\/9350 - (-9)\/(-45). Let p = -30853\/18700 - g. Find the common denominator of 41\/28 and p.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = t - 7. Is 12 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 113 = -80. Let t(v) = 4*v**2 + 32*v - 8. Let d be t(x). What is d rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(-10))\/((-1)\/3). Let r be (x + -4)\/((-1)\/(-3)). Let t(k) = k**3 + 3*k**2 - 4*k - 1. Let z be t(r). Solve 3*a - 5 + 28 = -5*w, 3*a + z = -2*w for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42 + (-4506)\/(-75) - 12\/150\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -0.6, 49?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*s + 0*s + 8*s)*(-2*s - 1 + 1)*(6 - 3 - 2) to r + l*s + o*s**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 305514 (base 9) in base 12?\nAnswer: 88a4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 304*s + 2688.\nAnswer: -4*(s - 84)*(s + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*n - 8 = 0. Suppose -5*k = -n*i - 65, 3*i - 20 = -i. Suppose -5*y + 465 + 300 = 0. Calculate the greatest common divisor of k and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -1\/3 (b) -0.025 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a gram in milligrams?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 5*l + 68. Let i = -20 - l. Factor 2*z**4 + 72*z**3 - 3*z**5 - 70*z**3 - 3*z**4 + i*z**4.\nAnswer: -z**3*(z + 1)*(3*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 + 56*z**2 - 20*z**2 - 30*z**2 to the form a*z**2 + q*z + s and give s.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -211094, -211049, -211004, -210959, -210914?\n\"Answer: 45*y - 211139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*s + 24*s + 19*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 82235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -31. Let k = m - 41. What is the units digit of (-1)\/(3\/k*1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/((-8)\/(-50)) + -1. Let u be (-6)\/y + 27\/(-4). Let d = 7 + u. Solve h + d = 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134 + 4*b - 51*b + 133.\nAnswer: -47*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-32)\/(-4) + (-20)\/4 - -416 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -152, -157, -172, -203, -256, -337?\n\"Answer: -a**3 + a**2 - a - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7590 a multiple of 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**3 - 8*j**2 - j - 40. Suppose f + 44 = 5*f - 4*n, 4*f - n - 41 = 0. Let t be v(f). What is t rounded to the nearest one hundred?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/3*(-389)\/2334\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 269*n - 259. What is the lowest common multiple of 310 and f(2)?\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/91 and -46\/1235?\nAnswer: 8645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 5670?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 368027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of -v**6\/30 + 7*v**3\/6 + 3*v**2. What is the derivative of h(a) wrt a?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 8*j**2. Let l(s) = -6*s - 9. What is y(l(d))?\nAnswer: 288*d**2 + 864*d + 648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22793 - 23288.95. What is j rounded to zero dps?\nAnswer: -496","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 20, -5, -17, 521, 3 in ascending order.\nAnswer: -17, -5, -4, 3, 20, 521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10320 (base 5) to base 8\nAnswer: 1306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 6*m - 2*m. Let w = m - -5. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - f**2 + f - 2. Let m be o(-2). Suppose m = -3*g + 20 + 4. What is the highest common divisor of g and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 26\/(-143) - (8157\/(-33) - -1). Suppose 5*i + 3*z = 1206, -2*i = -i + 3*z - a. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0056784543 rounded to five decimal places?\nAnswer: -0.00568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.021666 and 2.\nAnswer: 2.021666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3465259mg in grams?\nAnswer: 0.0003465259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-222*p + 222*p - 3*p**3)*(0 + 0 - 5*p)*(79 + 57 - 42 + 21) as c + u*p**2 + t*p + m*p**4 + h*p**3 and give m.\nAnswer: 1725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from zlzlzzz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 m, and 2 x when four letters picked without replacement from wxnnmmnwx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 9:56 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 13. Suppose 5*m - z = 3. Suppose -3*q + 59 = b, -3*b - 23 = -m*q + 2*q. What is the smallest common multiple of q and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 13087330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67499068.\nAnswer: 2, 7, 13, 59, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74573 is divided by 201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*x - 37*x - 1760*x**3 + 460*x**3 - 1230*x**3.\nAnswer: -2530*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(24\/(-6))*1*2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 116*j - 1400. What is p(12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/8789 and -47\/6075?\nAnswer: 53393175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*c**2*j**2 - 115329*c**2*j - 92*c*j**2 + 2*c*j + 40496*j**2 + 2*j - 15 wrt j.\nAnswer: -12*c**2 - 184*c + 80992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 1186*c - 35800. Let l be o(31). Factor 2559600\/11*t**2 + 128880\/11*t**3 + 18792000\/11*t + 24\/11*t**l + 2874\/11*t**4 - 4860000\/11.\nAnswer: 6*(t + 30)**4*(4*t - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -6*o**2 + 22*o - 67. Let q(w) = -11*w. Determine -c(g) - 2*q(g).\nAnswer: 6*g**2 + 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 15) in base 2?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135309, 135308, 135307, 135306?\nAnswer: 135305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189186*s - 21 = -189191*s + a, 2*s = 2*a + 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 106688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**3 - 2*c**2 - 36. Let i(r) = 3*r**3 - 2*r**2 - 37. Calculate -4*i(w) + 5*q(w).\nAnswer: -2*w**3 - 2*w**2 - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 11:37 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y - 3. Suppose -3*d + 4*a + 40 = -2*d, 4*a - 8 = 0. Let m be -12*-3*4\/d. Give w(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 58*z**5\/15 - 584*z**4\/15 + 8*z**3\/3.\nAnswer: 2*z**3*(z - 10)*(29*z - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-6 + 15) - -39\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -110011 (base 2) in base 16?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 9*u = -4*u + 3, f - 5*u + 1 = 0. Let h be 5\/1 + f + (-27 - -31). Put h, 0, 5 in decreasing order.\nAnswer: h, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -161, -647, -1457, -2591?\nAnswer: -4049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a - 7. Let b be s(0). Let n(t) = -t**3 - 7*t**2 + 2. Let c be n(b). Factor -x**c + 4*x**2 + 2*x - x**2.\nAnswer: 2*x*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(3 - 10) + (-52555)\/(-2737) + -19.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + 7 + -52 + 44\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50*(-20)\/(-9000) + (-20)\/45?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 785, 4, 3, 0, -6 in decreasing order.\nAnswer: 785, 8, 4, 3, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 12*h**2 + h + 14. Let c be g(3). What is a in c*a**3 + 16 - 111*a**3 - 46*a + 60*a**2 - 10*a**4 - 10*a - 24*a**2 = 0?\nAnswer: -2, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5431 + 0?\nAnswer: -5431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -136*z + 1016. Let q be d(7). What is the highest common divisor of 5184 and q?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -518*n - 3*c + 121 = -513*n, -4*c - 32 = 0. Solve -4*w + 2*z = 2, n*w + 5*z - 5 = 26*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s + 463. Let g(c) = -17*c. What is a(g(w))?\nAnswer: 34*w + 463","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**3 - 2*w - 2 + w - 2*w**3. Let q be h(0). Is q smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 + 362 = -30*o. Let y(i) = i**2 + 11*i + 17. What is y(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + (sqrt(252) - 2*sqrt(252)))**2*-1*2*5.\nAnswer: -15120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7124 (base 8) to base 3.\nAnswer: -12000212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 5. Let k be (1 - i) + 15 - 1. What is the greatest common factor of k and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 39, 15, -7, -27, -45?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 202783291 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*z + 3*r, 4*r - 9 = r. Calculate the least common multiple of 19 and z.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 407920, 815857, 1223794, 1631731, 2039668, 2447605?\n\"Answer: 407937*q - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -766731*i*l**3 - 129*i*l + 197*i + 3 wrt l?\nAnswer: -4600386*i*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 15a54 (base 13) to base 3\nAnswer: 2002122211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 75207393 divided by 11127?\nAnswer: 6759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*((n**(-2)\/n)\/n)\/n)**(-12\/13))**36\/((n**(-5)\/(n*n**2\/n))\/(n*n**(1\/4)*n)**(15\/8)) assuming n is positive.\nAnswer: n**(59963\/416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x. Let n(s) = 9*s + 6. Let k(i) = -n(i) + 4*w(i). Let l be k(-4). What is the highest common factor of l and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31865086 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3772.3 + -4299. What is z rounded to the nearest 10?\nAnswer: -530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 5*x - 1, -7970*h + 7974*h = x + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -330 divided by -377833\nAnswer: 330\/377833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.89 - 0.11. Which is the fourth biggest value? (a) 0 (b) t (c) -0.5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1, -769, -2855, -6919, -13621, -23621?\n\"Answer: -110*p**3 + p**2 - p + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 2*t - 20*t**4 - 3*t**2 + 2\/5*t**5 + 0*t**3 - 36. What is the second derivative of j(n) wrt n?\nAnswer: 24*n**2 - 480*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -523*p + 6822. Give r(13).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -46510, -46406, -46300, -46192, -46082?\n\"Answer: o**2 + 101*o - 46612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 5*h - 5*d - 28, 2*h + 3*d - 51 = 0. Suppose -3*t = 3*y + t - h, -4*y = -4*t. Suppose -k - o = -3 - 2, 4*o = k - 15. Solve -5*q + y = -k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/95 and -133\/375960.\nAnswer: 7143240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1)*z)\/(z*(((z\/(z*z**5\/z))\/z)\/z*z)\/z))\/(((z\/z**3)\/z)\/(z**(-2\/3)\/z*z)) assuming z is positive.\nAnswer: z**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 b, and 1 c when three letters picked without replacement from {b: 7, s: 3, j: 1, c: 4, m: 4}?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-10) - (-66)\/15. Let u(c) be the second derivative of 0 - 3\/2*c**2 - 1\/3*c**3 + 5\/12*c**4 - 1\/20*c**5 - 14*c. Determine u(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 0 - 15*x + 0*x**2 + 0*x**3 - 1\/2*x**4. Let v(b) = -5*b. Give v(d(i)).\nAnswer: 30*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*j - 21527 = 1079*j for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.412347 kilometers in centimeters?\nAnswer: 41234.7","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 + -15606)\/((-12)\/(-3)). Let b = -3879 - s. Calculate the common denominator of 22\/3 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/6 + 104*a\/3 + 16731\/2.\nAnswer: -(a - 351)*(a + 143)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -18. Let n = -8.183795 + 0.184095. Let o = z - n. What is o rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvyvyvvcvycvvvvvvv. What is prob of sequence cy?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 2*g**3\/3 - 34. Let h(w) = -15*w. Calculate h(x(c)).\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -33*o + 244. Let v be m(7). What is the highest common factor of 52 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 41*u**3 + 48*u - 3. Let l(f) = 124*f**3 + 144*f - 8. Let z(c) = -8*j(c) + 3*l(c). Find the second derivative of z(n) wrt n.\nAnswer: 264*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4455187 is divided by 3646.\nAnswer: 3421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(1*sqrt(605)))\/(1*2*sqrt(147)).\nAnswer: sqrt(2)\/154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4*2)\/(9\/(351\/(-3))). What is the highest common divisor of b and 1768?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 54 = 4*b, 4*p - 4*b - 100 = -0*b. Suppose -22*z + 18*z + 544 = 0. What is the remainder when z is divided by p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -37 - 27?\nAnswer: -5e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 9*c + 10 = 3*m, -m - 4*c - 6 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -668, -1623, -2964?\nAnswer: -4691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3635, 3607, 3563, 3497, 3403, 3275, 3107, 2893?\n\"Answer: -r**3 - 2*r**2 - 15*r + 3653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 19620 = -3*x, 4*c - 1830 + 21510 = 3*x. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35535 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 500\/(-12)*(-507)\/845.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45.6 + 42.63. Let h = 0.03 - r. Let b = -2\/661 + -1276\/15203. What is the closest to 1 in h, b, -2\/13?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64 - 64. Let k = -4929 + 83784\/17. Which is bigger: k or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -128 * 0.01\nAnswer: -1.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2067251, -2067247, -2067243, -2067239, -2067235?\n\"Answer: 4*u - 2067255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 651 = -195. Is z a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 453148?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -19 and -420\/23 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -25, -47, -69, -91?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddhehwew. What is prob of sequence ewh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 46 = -19*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -2\/5, -3, -0.0329, 1\/9 in descending order.\nAnswer: 2\/11, 1\/9, -0.0329, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 - (-2)\/((-4)\/6). Suppose -4*x - 2*r - 3*r = -93, -x + 42 = 5*r. Suppose y = 2*n - x. Solve 3*w = h - 4 + 6, -h + n = 3*w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/2 + 33*z**2\/2 + 36*z.\nAnswer: 3*z*(z + 3)*(z + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -373*p - 4 = -374*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*p + 18 = 0, p = 4*q - 0*p + 24. Let k be -1 - 32\/(-8)*q\/(-4). Calculate the greatest common divisor of 12 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 19*n**2 - 22*n + 1. What is the tens digit of u(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 35 = 4*o, -3*k = 4*o + k - 20. Let l(y) = 8*y - 33. Give l(o).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -82*a**2 - 169*a + 1. Calculate m(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(3\/8))\/a)\/(a*a**9\/a*a*a*a))**(-24)\/(a**(3\/2)*a*a**(-1)*a)**(4\/3) assuming a is positive.\nAnswer: a**(827\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22840 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -407 - -407.0000297. What is c rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s**3 + s**2 - s - 2. Let j = -16 - -15. What is the units digit of z(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4084651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 83480 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 3\/143, -1?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 843191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.54 + -0.53887. What is q rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*p**2 + 15*p**2 - p**4 + (1 + 0 + 0)*(-2*p**4 + 4 - 4) + 3 - 3 + 15*p**4 to the form x*p**3 + v*p**4 + r*p**2 + j + t*p and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*c + 7 + 1963*c**2 - 3939*c**2 + 1975*c**2 + 153*c.\nAnswer: -c**2 + 132*c + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1525.5706 rounded to the nearest integer?\nAnswer: -1526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 plus 4?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -4, -5, 3.\nAnswer: -5, -4, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(4\/7))\/s**(-5))\/(s\/((s*s*((s*s\/(s**(-2\/5)\/s))\/s*s)\/s)\/s)*s**(-4)) assuming s is positive.\nAnswer: s**(414\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 15 = -4*g. Let i be 6\/(-2) - (-20 + 15). Which is smaller: i or g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/15 - (-48)\/70. Which is the nearest to 1\/2? (a) p (b) 0.2 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 9*p**2 + 7*p + 2. Let s be i(-8). Suppose -2*x + s = 5*h, 10*x - 5*x + 10 = 5*h. List the prime factors of -8*(-1 + x)*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - -20. Let c be 6\/(-27) + d\/9. Find the third derivative of -r**c - 2*r**2 + 0 + 0 wrt r.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -523173, -523128, -523083, -523038, -522993, -522948?\nAnswer: -522903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -1\/4, 2\/3, -1.47?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -5. Let h(p) = p**3 + 11*p**2 - 13*p - 7. Let x be h(-12). Find the second derivative of x + 3*d**2 + f*d - 5 + d wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3, -40, -93, -156, -229, -312?\n\"Answer: -5*y**2 - 28*y + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 7*b = -8. Suppose -b*h + 10 = 3*h. Sort -3, 4, h in ascending order.\nAnswer: -3, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*v - 12*v = -v + 110 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**4\/5 + 22*q**3\/5 - 48*q**2\/5 = 0.\nAnswer: 0, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 157438\/11 + -14312. What is the nearest to -8\/3 in 28\/9, u, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 191243671 to the nearest integer?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -28886.39966 to zero decimal places.\nAnswer: -28886","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -446c (base 16) in base 14?\nAnswer: -6552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -6. Let y be (-1)\/((-15)\/(-18) + s). Suppose -2*l + 5 = -l - 2*n, l - 3*n - y = 0. Solve -3 = 3*b - l*w, 5*b - 3*w = b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8c85 + -1?\nAnswer: 8c84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - p + 19 = 4*p, 5*d - 64 = 4*p. What is the smallest common multiple of d and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -2, -0.082 in ascending order.\nAnswer: -2, -1, -0.082, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j\/(j\/((j\/j**(2\/7)*j*j*j*j)\/j))*j)**(-15\/8)\/(j**(-1\/2))**(7\/2))\/(j*j**(1\/4)*j**6*j**(-1\/5)\/j**(-4\/5)) assuming j is positive.\nAnswer: j**(-5233\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = r - 0*r. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 5*y**4\/4 + 7*y**3\/3 + 7*y**2\/2 - 897. Let s(j) = 2*j**3 + 3*j**2 + 3*j. Give 3*g(i) - 7*s(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1109 and -10.\nAnswer: -11090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*k**3*u**3 + 200*k**3*u**2 - 2*k**3 - k**2*u**2 - 8*k*u + 101*u**3 wrt u.\nAnswer: -66*k**3 + 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1734.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/12880 and -103\/47840.\nAnswer: 334880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -150.1 - -149. Let p = -9234\/7 - -1366. Let m = p - 47. Put m, -5, i, 0.3 in descending order.\nAnswer: 0.3, m, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -162*j + 79. List the prime factors of s(-11).\nAnswer: 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 102 + -99. Solve x*q + 3*y = 24, 3*q - 2*y = y for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -1\/7, -0.174 in descending order.\nAnswer: -1\/7, -0.174, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-6)\/36))\/(3\/(-2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (29 + (2 - 2))*3. Suppose n = -3*n + d + t, 2*n = 2*d + 48. Let w = n + -17. Which is smaller: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-10))\/((-10 - -12)\/(-10)). What is the nearest to k in 4, -4, 21?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 359*y + 810*y - 363*y + 732*y + 595*y.\nAnswer: 2133*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -7*s**3 + 81*s**2. Let p(c) = -4*c**3 + 41*c**2. Determine -11*p(i) + 6*w(i).\nAnswer: 2*i**3 + 35*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**2*d)**(10\/13)\/(d*d**(-3\/2)*d)**(-45))**(-21) assuming d is positive.\nAnswer: d**(-14385\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14 + 9 + 7 - 4) + 49\/21. What is the closest to -1\/2 in -0.3, -5, r, 0.253?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1142.90097 + 1287403.\nAnswer: 1286260.09903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1445521 + 32?\nAnswer: -1445445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 103129, 103127, 103125?\nAnswer: 103123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -100*k + 5. Let t be v(3). What is the hundreds digit of 4\/(t\/99 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2232 and 41788.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2306 - -20434?\nAnswer: 22742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -891, -896, -915, -954, -1019?\nAnswer: -1116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 162 = -3*p, -4*r + p - 27 = -185. Let g = 35 - r. Let b(f) = f**2 + 7*f + 6. What is b(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/8 - 3\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 12*q**2 + 14*q - 7. Let u be a(13). Let b(i) = i**2 - 6*i + 3. What is b(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 14 = 2*y, -2*s - 630 = y - 632 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + -1 + -5 - (-5*sqrt(76))**2 - (5*(0 + sqrt(19)) + -5*2*sqrt(19))**2.\nAnswer: -2381 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3830 is divided by 842.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10808 and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + 0.4. Let u = -1.028 + 0.028. Which is the nearest to -0.1? (a) j (b) -0.5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 736 - 736.3. What is the closest to -12 in -1\/3, -3\/4, -0.1, c?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -382 + 859. Suppose a = -4*a. Suppose a = -4*c + 727 + h. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddv when three letters picked without replacement from {j: 1, h: 8, d: 5, v: 4}?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 5 - 1 - 1 + 0 - 1 + 2 + 0 - 3 - 2 + 3 + (1 - 2 + 0)*(0 + 2 - 3))*(-439*n**2 + 1059*n**2 - 132*n**2) in the form q*n**2 + f + z*n and give q.\nAnswer: 1952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17\/28 - 233\/476. Which is the biggest value? (a) 3 (b) z (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*a**2*n**2 + 22*a**2 + a + 3976*n**2 wrt a.\nAnswer: -22*a*n**2 + 44*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/87? (a) -2\/7 (b) -6833 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**3 + 2*a - 15. Let o be u(3). What is the highest common divisor of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) -51 (c) 0.3 (d) 251\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/(c\/(c*(c\/(c\/(c*c*c**(-1\/2)))*c)\/c*c))*c*c*c*c**(-7)*c*(c**(2\/13)\/c)\/(c**(-5)*c*c) assuming c is positive.\nAnswer: c**(95\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 - -140. Let t = -49 + d. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by 103\nAnswer: -16\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68 and 241002455.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2081 * -3.3\nAnswer: 6867.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 165665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 33600\/(-840)*(-4)\/((-24)\/6)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11935308*a*t**2 - 261603*a*t + 2*a + 10 wrt t.\nAnswer: -23870616*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 3*n - 5*n. Let k(o) = o**3 + o**2 - 3*o. Let u be k(2). Suppose r = u - 3. Solve -r*l + 15 + 0 = n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(6\/13)*(((h*h**(-8))\/h)\/h)\/h)\/((h**9*h)\/h**(2\/5)) assuming h is positive.\nAnswer: h**(-1244\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + v - 8 = 0. What is the fourth smallest value in 2, -0.1, 0, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2204 - 5781 + 4575 = 62*v for v.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 381 = 1231. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -8307*r + 3948. Let p(i) = 29070*i - 13818. Let z(n) = 18*d(n) + 5*p(n). What is the first derivative of z(c) wrt c?\nAnswer: -4176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.6 in 2\/7, -2, -3\/10, -4, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 64?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 6*p**2 - p + 12. Determine a(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -147\/887?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 1720.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 98 = -2*t, 2*g = g + t + 17. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 10*x**2 - 4)*(-x + x + x) + 187*x - 5*x**3 + 74*x + 6*x**3 + 38*x.\nAnswer: -9*x**3 + 299*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1065, -4398, -10009, -17904, -28089, -40570?\nAnswer: -55353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 18\/238231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182127 is divided by 182078?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/7*(-7)\/(-3). What is the closest to -1 in t, 0.4, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y - 8*y = 12*y - 458 + 1098 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10560, 43434, 98224, 174930?\n\"Answer: 10958*w**2 - 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3\/8))**(1\/27))**(2\/77) assuming l is positive.\nAnswer: l**(-1\/2772)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404 is divided by -117 + 289 - (2 + -21).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*s**2 + 149*s**2 - 94*s**2.\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-995)\/(-5) + (-4 + 3 - -3) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/(g**(-16)*g)*g**(-5\/3) assuming g is positive.\nAnswer: g**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 - ((-942 - -932) + 14 + -1 + -2).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/7 (b) -0.2 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**6\/72 - 7*v**5\/4 + 50*v**4\/3 - 590*v**3\/9 - 2*v**2 - 2*v - 9. Let l(q) = 0. Calculate q.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2 + (-1 + 4 - 1)*(3 - 5 + 1) - 7 + 0 - 5 + (1 - 2 + 0)*(3 - 5 - 1))*(0 + 0 - 2*w).\nAnswer: 20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4485576, -4485580, -4485584, -4485588?\n\"Answer: -4*x - 4485572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-230))\/1*(-1675)\/670?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-15)\/(-6)*46\/5?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26 and -17.16.\nAnswer: 446.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 155630 times -5?\nAnswer: -778150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*p + 0 + 18*p**3 - 14\/3*p**4 - 12*p**2.\nAnswer: -2*p**2*(p - 3)*(7*p - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/4)\/((-1)\/(-24)). Suppose 3 = 3*d + j. Let x = 0 - d. Let f(a) = a**2 - 4*a - 4. Let v(z) = -z**2 + 3*z + 3. What is x*f(s) + 4*v(s)?\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 517148747 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from jjujssjwuzms.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-56) + -2*(-1)\/(-7).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13666 = 1390*j - 14347 - 1177 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 75667871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -39 + (0 + 2 - 6)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 8. Find the third derivative of -15*x**2 + j*x**5 + 14*x**2 + 0*x**5 wrt x.\nAnswer: 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125 - ((-13 - 1) + (-25 - (-70 - (-37 + -1))))?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2473852, -2473877, -2473926, -2474005, -2474120, -2474277?\nAnswer: -2474482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.865 in 0.3, -1\/7, 0.1, 1.3, 4\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 8*u - 7. Let x be j(-8). Let t be -8*((-21)\/(-6))\/x. Sort t, -1, -3 in decreasing order.\nAnswer: t, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170 and 49244870?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2037 + 4302. Suppose 999 = 12*m - t. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44686 divided by -5.\nAnswer: 44686\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/((d\/(d*(d\/((d*d*d\/(d*d**(-4\/5)))\/d))\/d))\/d)))**(-37) assuming d is positive.\nAnswer: d**(-333\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.712 (b) -4 (c) 2\/115 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17069 - -75421\/4. Let p = -1768 + o. Calculate the common denominator of -3\/2 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(-5*o + o + 3*o)*(-7*o - 13*o + 17*o)*(-3 + 2 + 3).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2\/5))\/(x*x**(-13))*x**(-4\/3)*x\/(x*x**(2\/37)) assuming x is positive.\nAnswer: x**(6667\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11944\/104 + 1560\/(-845)?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.40382ml in litres?\nAnswer: 0.02740382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -34\/45*v**6 - 2\/3*v**2 - 28\/15*v**5 - 16\/9*v**3 + 0 - 22\/9*v**4 - 2*v - 8\/63*v**7. Factor m(u).\nAnswer: -4*(u + 1)**4*(4*u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 3*w = -15, -3*j + 2 = w - 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1464 and 66978.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 2*d**2 + 4*d - 2. Let r be f(3). Let h = -0.205 - 4.795. Which is the third smallest value? (a) 0 (b) r (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3\/9 + 28*g**2\/3 - 140*g\/9 - 76\/3.\nAnswer: -4*(g - 19)*(g - 3)*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -210 - -209.9. Which is the second smallest value? (a) 17 (b) x (c) -2\/7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + q - 18, 379*q - 419*q + 153 + 87 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(3 - 8 - q + 2).\nAnswer: -2*q - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -316 - -321 - ((-5 - -1) + 9 + -25).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*r**3 - 8*r**2 + 8*r**2 + (-2*r**2 + 5*r**2 - 2*r**2)*(2*r + 0*r - r) + 0*r**2 - 3*r**3 + 0*r**2.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-11) + 460\/110. Suppose -c = n*c - 45. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 24 + (121 - 131) + 20.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1062 - -1062.000017484. Round o to 6 decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 32 - 27) + (36 + -1 - 4 - 3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) - sqrt(133)*-3)*-6)\/sqrt(7).\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k - 4. Let g be (-2 + 5)*8\/(-6). Give a(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v**2 + 4*v + 4. Let r(x) = -16*x**2 - 11*x - 11. Suppose -72*z - 1446 - 908 = -286*z. Calculate z*i(q) + 4*r(q).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 126 + 12 = 0. Suppose 0 = -3*p + 23 + x. Which is smaller: 15 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4858542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - -6 - 3) + (-34)\/8. Suppose -o*g + 3\/4*g**2 - 1\/4*g**3 + 1\/4 = 0. What is g?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*s - 3*r = -3, 0 = s - 2*r - 11. Let b be (-12)\/(-1 - s)*1. Solve b = -g - 0*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 7. Suppose c = 9*g + 6*g - 3210. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*p**3*q*y**3 + 16*p**3*q*y + 209*p**2*q*y**2 - p**2*q + 75*p*q*y + 974523*q*y**3 wrt y?\nAnswer: 126*p**3*q + 5847138*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6 = -10. Let m = -6 + f. What is the third derivative of q**m + q**4 + q**4 - 3*q**4 wrt q?\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -y**5\/20 + 2*y**4\/3 - 4*y**3\/3 - 3*y**2\/2 + 2*y - 11. Determine l(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/13 - 29306*r\/13 - 87936\/13.\nAnswer: 2*(r - 14656)*(r + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 - -148707?\nAnswer: 148707.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**3 + 0*y + 0*y)*(-1 + y - 11*y + 5*y).\nAnswer: -5*y**4 - y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000238685 rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -14.05. Let p = k + 5.05. Let w = -4 + p. Which is smaller: 0.01 or w?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2617570\/159 or 16464?\nAnswer: 16464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/132)\/(-2*2\/12).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28617 is divided by 106.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/7 + 487*z**2\/7 + 8505*z + 59049\/7.\nAnswer: (z + 1)*(z + 243)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 7*z + 12. Let k be n(-8). Let o = k - 64. Is (o\/(-6))\/((-2)\/(-3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z**19*z*z\/(z\/(z*z**(13\/5)*z)*z)*(z**(-1\/18))**(-6\/19) assuming z is positive.\nAnswer: z**(7301\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 622558 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2130*y**2 - 800*y**2 + 2*y + 2198*y**2 + 299*y**2 as n*y**2 + q*y + l and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4355\/(-13936) - (-635)\/(-16)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 2:42 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 15 = -3*k, 3*k = -3*k + 9*k + 7 + 17 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k**2. Let a(n) be the first derivative of 0*n**2 + 0*n + 9 - 31\/3*n**3. Give t(a(r)).\nAnswer: 5766*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/3)\/(6\/18). What are the prime factors of y\/(7\/2 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.42 - -17.58. Let c = a - 18.4. What is the third smallest value in 0.1, 0.5, c?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 19*w**4\/24 - w**3 + w**2. Suppose 2*s + 21 = 5*s + 3*h, -s - 2*h = -9. Is r(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2138770 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 76831 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w - 565 = -7*w. Let z = 232 + w. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 440*x + 13. Is q(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2280 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.86 or 705147?\nAnswer: -1.86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*l - 674118 = -671310 for l.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n*x**3 - 3*n*x**2 - 11*n*x*z - 636791*x**3*z**2 + 4*x**3 - 74*x*z**2 + z**2 wrt x.\nAnswer: 6*n - 3820746*z**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventeen quarters of a day?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 27*l**2 - 10*l - 274. What is w(-27)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-29 + 44 - (9 + -3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15991, 31982, 47973, 63964?\nAnswer: 79955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5484?\nAnswer: 2, 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/3 (b) 0.052 (c) -1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.96 + 0.12. Let o = y + -0.16. Which is the nearest to -1\/3? (a) -2 (b) o (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*j - 14*j + 244. Suppose 4*z - j = -756. Let o = 186 + z. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of 7*o**3 + 21*o**2\/2 - 10*o. Let i be g(4). Suppose 3*v - 105 = i. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 164*a**3 - a**2 + 123*a - 6. Let q(y) = -10*y**3 + y + 2. Let x(u) = c(u) + 3*q(u). Find the third derivative of x(h) wrt h.\nAnswer: 804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: c76 (base 16) to base 6\nAnswer: 22434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34618769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.06 (b) -3\/5 (c) 9.143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 9\/11 - 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1256594460 to the power of 1\/2, to the nearest integer?\nAnswer: 35448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31 and 329.\nAnswer: 10199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 15805064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -231*z - 63 wrt z?\nAnswer: -231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 6 = t - 10, 4*t + 2*r = -14 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18651 or 19711?\nAnswer: 18651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -6995.073 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -47603, -47627, -47663, -47711?\n\"Answer: -6*l**2 - 6*l - 47591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 6*a**2 - 4*a + 5. Let o be f(-4). Let y = 18 + o. Let w = -32 - -50. What is the remainder when w is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -509471, -1018952, -1528447, -2037962, -2547503?\nAnswer: -3057076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45.22569 or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-10)*z\/(z\/z**(2\/11)))**(3\/40))**(-22) assuming z is positive.\nAnswer: z**(81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 294232 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z + 12. Let t be x(-6). Does 4 divide (-38)\/(-3) + 10\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13100912437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u**3 - u**2 - u - 2. Does 4 divide x(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205788337 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 859*q. Let b(s) = -1672*s. Determine b(j(t)).\nAnswer: -1436248*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - 7*s**2 + 4*s - 12. Let d be t(6). Let c = d - -33. Let z(o) = o**3 - 8*o**2 - 2*o - 13. Does 12 divide z(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4160, -5, 9, 1.\nAnswer: -4160, -5, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -19248 at most as big as 1790?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7632 + -3689. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 9*m - 13 = 83. What is the remainder when 639 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -2*x**3 + 60. Let z(g) = -3*g**2 + 3*g**2 - 2*g**2. Determine z(q(n)).\nAnswer: -72*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 8*i + 67. Let r be t(-9). Put -52, r, -2, 0 in ascending order.\nAnswer: -52, r, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2053 + 5595. What is the highest common divisor of x and 1078?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 0*h = 3*t - h - 20, 124 = -76*t + 84*t + 76*h for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0030523594 to 5 decimal places.\nAnswer: -0.00305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 335239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.13, 2, -0.15, 1\/10, 3, 391, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + -3*1*(-4 + -5*2*sqrt(425)) + -2)**2.\nAnswer: 4800*sqrt(17) + 382756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 930\/45*(-9)\/(-6).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h**2*x**2 + 14*h**2*x - h**2 - 2*h*x**3 - 94*x**3 - x wrt x?\nAnswer: 6*h**2 - 12*h*x - 564*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 15 + h + 2 - 332*h**2 + 330*h**2 in the form d + g*h**2 + y*h and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4b49 + 0?\nAnswer: 4b49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -704 + 703.999998529. What is w rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 145 - -14044326?\nAnswer: 14044504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.638853 to 2 dps.\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/1432?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 2*b + 1, -23 = 3*c - 4*b - 0*b. Let j = 17 + c. What is the least common multiple of 4 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.05 + 0.05. Sort 4, t, 0.1, -0.2.\nAnswer: t, -0.2, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 2 - 6. Let d(q) = 6*q**2 - 4*q - 2. Let b be d(f). Suppose 17 = 2*m - 5*p, -1 = -p + 2*p. Calculate the highest common divisor of m and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 383?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 16*m + 51. Let l(n) = -15*n - 92. Let f(c) = -5*d(c) - 4*l(c). What is f(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*(-14)\/(-63).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -193 (b) -1\/5 (c) 59 (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(504) - sqrt(504)*3)*5)\/(4*-4*sqrt(392) + sqrt(392)).\nAnswer: -4*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.902 - -307.302. Let c = 305 - m. What is the second smallest value in 2\/13, c, -4\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 476369045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8421215*i - 10 + 8421215*i - 3*i**2 + 0.\nAnswer: -3*i**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 167*r - 152*r + 10 - 55. Calculate the greatest common factor of r and 13749.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20887 (base 13) in base 14?\nAnswer: -174c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 1032, 0, 238?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1158663*s**3 + 3595537*s**2 wrt s?\nAnswer: -6951978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/22 and 81\/9662422.\nAnswer: 9662422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tiltrlitli. What is prob of picking 1 r and 1 i?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28181.\nAnswer: 28181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*y + 43*y - 16*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 930 and 2162436.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.497975g?\nAnswer: 497975000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**3 - w**2 + 5*w - 2. Let z be n(2). Let c be ((-14)\/5)\/(2\/(-10)). Calculate the greatest common factor of c and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m + 7. Let k be r(6). Let s = 15 + k. Let t(j) = 5*j**2 - s*j**2 - 3*j - 2*j + 0*j**2. Determine t(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 83.\nAnswer: -3\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2\/2 - 720*t - 51840.\nAnswer: -5*(t + 144)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 365 and 93119165.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.845 rounded to 1 dp?\nAnswer: 34.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2663144145.\nAnswer: 3, 5, 59180981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -8 + -1 - (-1 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -405*d**2 + 48*d**2 - 18 - 43*d**2 - 586*d**2 + 19 in the form s*d + h*d**2 + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20129*u**2 + 20128*u**2 + 3 - 3.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -413752.201 to the nearest ten thousand.\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32*l + 1 + 2 - 3)*(291*l + 23 - 29 - 106*l) to the form j*l + o*l**2 + u and give j.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -1. Find the first derivative of 11 - 3*a + a + j*a wrt a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -206*q**2 - 617*q + 7. What is n(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -991*w - 362. Calculate y(-2).\nAnswer: 1620","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 4*d - 10, -24*d + 26*d = -w + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2672 - 1448. Suppose 3*z - 2331 - k = 0. Suppose z = 4*p + p + 5*s, p + 5*s = 245. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 34 + -21 - -2\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 781423404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 9*q + 8 = 0. Suppose i + 3*n = 394, 5*i + 7*n - 1930 = q*n. Suppose 2*w - 362 = 3*t, -2*w - 2*t + 0*t + i = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -u**8\/240 - 3*u**4\/8 - u**3\/6 - u**2. Let s(r) be the first derivative of o(r). Differentiate s(i) with respect to i.\nAnswer: -28*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -613348, 5 in descending order.\nAnswer: 17, 5, -613348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ziymz. What is prob of sequence mz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/4*-4*(-6)\/15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 113.7 - -9. Let f = l + -131. What is f rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.89648 millilitres in litres?\nAnswer: 0.01789648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 166942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9935 divided by -3?\nAnswer: -9935\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 21369?\nAnswer: -3\/7123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*l - 3*l - 27*l - 798 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3408842 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Let z = -9 + 13. Let t = -9 + 13. Suppose h + 19 - t = a, 5*a + z*h - 57 = 0. Calculate the greatest common factor of a and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -40*d**2. Let s(r) be the first derivative of -2*r**3\/3 + 5. Give v(s(h)).\nAnswer: -160*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39402021?\nAnswer: 3, 13134007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and (-1 + -2)\/((-3)\/18*1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (717\/9)\/1 - (-12)\/36. Suppose -3*x - 19 = r. Is -4*1\/22 - 21357\/x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 404*o**2 + 57163*o + 1044. Determine b(515).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.793 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -139.839 + 140. Round h to 2 dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 339?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 8. Let s = m - -2. Let l = s + 3. Solve -d - 5 = -l*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 - 0.2. Let y = -0.0033 - -0.0433. Which is the smallest value? (a) 4\/3 (b) g (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z. Let f(a) be the third derivative of 5*a**4\/12 + 16*a**2. Calculate f(n(q)).\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1057 + 1056.998702. What is n rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n*n**8*n*n*n**(4\/9)*n**(-3\/13)*n*n*n**(14\/9)*n*n assuming n is positive.\nAnswer: n**(244\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3551, 999.\nAnswer: -3, 999, 3551","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1481 = -7*u - 186. Let i = 192 - u. Solve -2*w = 3*s - i*w - 19, -w = -3*s - 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1290*o + 1368*o - 2789*o - 11*o**2 as k*o**2 + c + f*o and give k.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9b - -5?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4114143444 - 4?\nAnswer: 4114143440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = j - 2*s, 3*j + 3*s = 12. Suppose 2*x - 13 = -o - j*x, -4*o + 2*x + 52 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3484094121?\nAnswer: 3, 17, 151, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + (-22 + 35 + -15 - (0 - (2 + -1)))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16086, -16086, -16092, -16110, -16146?\nAnswer: -16206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2680*m**5 - 6*m**4 - m - 2098.\nAnswer: 53600*m**3 - 72*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 249 + 14. Is 14 a factor of 1\/(-1) + (q - -12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6701 is divided by 100.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3 - 2) + 8 + -4 - 2) + 13?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -5*s + 163, -2*s + a = 3*s - 159. Differentiate -s - 746*r + 0 + 802*r with respect to r.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 189 and 378?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = k - 10612, -42484 = -4*k - 2*l - 3*l. Is k a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11009750 to the power of 1\/3, to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 7*l**2 - 11*l - 27. Determine k(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -16. Let y = -8 + h. Suppose 28 = 2*c - y. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 158 - 31. Let h(l) = l**2 + l. Let c(r) = r**3 + r**2 + 4*r + 8. Let a(q) = c(q) - 6*h(q). Calculate the remainder when z is divided by a(6).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.012 + 0.023. Let i = m - -0.025. What is the third biggest value in -1, 0, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9514178 years in decades?\nAnswer: 0.09514178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1541 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6 - 9 = 2*l, 0 = 5*d - 4*l - 41. Solve 2*w = -d*w + 35 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 29 = 3*a, -59*a + 52*a + 4*k - 91 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/4)\/(t*(t\/t**0)\/t))\/(t*t**3\/t*t*(t\/(t*t*t\/(t*t\/(t\/(t*(t**(-4)*t)\/t)))*t*t))\/t))**2 assuming t is positive.\nAnswer: t**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.022 - 0.022. What is the nearest to 10 in 4\/5, f, -1\/3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129958*d + 129953*d = -2*f - 337, 5*d - 353 = -2*f for d.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 32 = -4*j, -2*j - 9 = 3*u - 10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -227417, -454875, -682333, -909791, -1137249?\n\"Answer: -227458*c + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 101, 85, 63, 35?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-428*x + 46530 - 46530)*(-5*x**4 + 3*x**4 - 5*x**4).\nAnswer: 2996*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 6*y**2 - y + 7. Suppose -3*r + 108 = -171. Suppose -14*s = r - 23. Give z(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 63 - 213. Let m be (x\/46)\/((-6)\/28). Suppose a + 5*z + m = 0, 2*a - 9 = 4*z + 5. What is the remainder when 7 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 7:39 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -34. Let c = 15 + i. What is the closest to 2 in c, 0.3, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -8*s**3 - s**2 + 6*s - 6. Calculate v(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 3*m + 240 + 355, 0 = -4*a + 2*m + 2422. Calculate the highest common divisor of 8607 and a.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 663\/77 + -44283\/770. Let l = -49 - q. What is the biggest value in l, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -575170*r**2 - 23052*r + 3842. Let l(i) = 449*i**2 + 18*i - 3. What is -7684*l(t) - 6*o(t)?\nAnswer: 904*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 309015.548 rounded to the nearest 1000?\nAnswer: 309000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + 476\/42 - 5\/(-6).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2707465900.02 plus 0?\nAnswer: -2707465900.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5\/6 - 16*o**4 + 1943*o**3\/6.\nAnswer: o**3*(o - 67)*(o - 29)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/2*-1*2. Suppose 0 = -m + 3*a + c, 1 = -m + a + 4. Let w - 2*w**2 - 14 - m - 13*w = 0. Calculate w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -23 - -53) + -30.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46.6 + -53. Let a = 6.9 + n. What is the closest to -4\/13 in 3, a, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2\/5*v**2 + 59858\/5 + 692\/5*v = 0.\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14040 in -4, 3, -41\/8, -2\/13, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = u - 24. What is the tens digit of 687\/5 - u\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = 6*k + 50. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 9. Let t be r(7). Let h = -169\/4 + 42. Which is the smallest value? (a) -0.1 (b) h (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -11.978 and 5.7?\nAnswer: 17.678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -29*k + 119. Let g be n(4). Let p(w) = -2*w**3 - 20*w**2 + 3*w + 3. Let i(a) = 2*a**3 + 20*a**2 - 4*a - 4. Determine g*i(u) + 4*p(u).\nAnswer: -2*u**3 - 20*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 159*s**2 - 6341*s + 97336. Let k(y) = 3*y**2 + y. Let v(q) = 5*g(q) - 35*k(q). Factor v(z).\nAnswer: -5*(z - 46)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 + 6*d - 4*d + 26)*(-5*d - 72*d - 32*d) to x + b*d + y*d**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2245 + -199807\/89. Is h > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (54 + 23 - 28)*(3*r - 3*r - 2*r) + 2*r - 5*r + r + (1 + 0 - 3)*(-r - r + 3*r) to the form j + m*r and give m.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4330603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 546 - 525. Suppose m + 4*s = 64, -2*m - 47 = -s - 220. Calculate the greatest common factor of c and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**2 - 4*f**2 + 6 - 629*f + 2908*f**3 + 8*f**2 - 2907*f**3 as n*f**2 + i*f + v + l*f**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 36320436.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20649246 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23253 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 96431231\/12 or 8035935?\nAnswer: 96431231\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -106 + 109. Suppose -2*k + 24 = 12*l - 10*l, -r*k - 2*l + 33 = 0. Solve y + 2*y = -k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3928.138 + 3928. Is g at most as big as 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/(-4))\/(10\/20). Let a = 8 - f. Solve -a*m = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 4*f - 29, 5*m = f + 14 + 35. Solve m = -n - 2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (104538\/(-19))\/((-6)\/26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 93*n - 287. What is q(11)?\nAnswer: 736","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 6*d + 7. Let y be a(-5). Let q(l) = 21*l**2 - 3*l + 3. Let z be q(y). What is the units digit of 2\/8 - z\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 54*5*2*4\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + 3*2\/3 + -1. Let h(f) = -f + 1. Let t(v) = v**2 + 2*v - 2. Let p(q) = u*h(q) + t(q). Let y(w) = -w**2. Let s = 11 + -7. Give s*y(j) + 3*p(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2003 divided by -3.\nAnswer: 2003\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xm when two letters picked without replacement from {o: 1, g: 2, p: 1, x: 1, d: 1, m: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhh when three letters picked without replacement from {h: 3, z: 4, g: 1, y: 3, s: 4, r: 2}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in 1\/2, 4, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 289.7*137.\nAnswer: 39688.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2098*r**3 - r**2 + 2 - 3*r**2 + 3*r - 2097*r**3. Let g = -3 - -5. Let d(s) = s**3 - s**2. Let l be d(g). Calculate c(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.14? (a) 0.5 (b) -1 (c) -0.5 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 1910*a - 7. Let c be i(-1). Let v = c - -4624. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**4 + 122210*d**3 + 15804080*d**2 + 31119360*d = 0.\nAnswer: -24312, -128, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 + -53. Let b = i - -30. What is the remainder when b is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*(k\/(k\/(k**(1\/2)\/k)))\/k)**(-18))**(-38)*(k**(-2\/11)*((k*k**(-7\/4))\/k)\/k)\/(k**(-1)\/((k\/k**(-4))\/k*k)) assuming k is positive.\nAnswer: k**(15183\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -601*z - 182*z = 47*z + 2490 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.2 - -3.1. Let m = 2.1 + h. Let i = -39 + 25. Put m, 3, i in increasing order.\nAnswer: i, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -1.02. Let x = -0.01 - l. Let j = x + 0.19. Sort j, -0.3, 5 in decreasing order.\nAnswer: 5, j, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**2 - 4*w + 5. Give l(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46272.14 micrometers in nanometers?\nAnswer: 46272140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -6 (b) 1.03 (c) -843\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*s - 28. Suppose 8*m = s*m + 2. Differentiate 6*t**4 + 216 - 225 + 5*t**m - 5*t**2 wrt t.\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1076 in -114, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 r when two letters picked without replacement from hhrayhayqylqyyrl.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 (base 16) in base 3?\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.6 + 0.28. Let t = 0.18 + -0.2. Let l = t - m. Sort 2\/11, -0.4, l in descending order.\nAnswer: l, 2\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 778.7 + -826.7. Which is the third biggest value? (a) 7 (b) j (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4966 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -14\/3, -62, 15, 0.052?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 227 divided by 6.\nAnswer: 227\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = y + 3*d - 138, -5*y = 5*d - 130. Solve 13*c - y - 35 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 536137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -191*d - 561. Give x(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -486 - -7288\/15. What is the closest to 2\/9 in -2\/3, k, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 30 = -n + 4*n, -30 = -3*n + h. What is the tens digit of (-984)\/(-20) + (-2)\/n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -359 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(21)\/(4*sqrt(3)).\nAnswer: sqrt(7)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2. Let t(k) be the first derivative of 0*k + 4 - 1\/2*k**2. What is a(t(o))?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7526.636 weeks in seconds?\nAnswer: 4552109452.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.167 - -0.077. Which is the third smallest value? (a) 31 (b) s (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 568 - 705. Let a = s + 172. Calculate the highest common factor of 40 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 490742 (base 14) to base 10.\nAnswer: 2498470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-14))\/(18\/(-24))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + m)*(m**3 + 0*m**2 + 0*m**2)*(6*m - 6*m - 4 - 4*m).\nAnswer: -4*m**5 - 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -493*y - 31079 = 99*y + 143*y + 10081 for y.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 426342 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (648\/198)\/6*(-100)\/(-20)\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 582 + -575.2. Round d to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/14040 and -47\/1040.\nAnswer: 28080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 160247?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -857\/8 - -107. Let z be ((-20)\/(-6) + -3)\/(3\/(-6)). What is the second biggest value in z, r, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142577, -142580, -142579, -142568, -142541, -142492, -142415?\nAnswer: -142304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11422?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 6*o**2 - o + 7. Let b be y(-6). Suppose -4*i - b = 3*v, 5*v + 0*v = 5*i + 25. What is the remainder when 29 is divided by (v + -2 - -8) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-3*sqrt(13)*1 - (-1*sqrt(637))**2) - (sqrt(65)\/sqrt(5) + -2 + sqrt(104)\/sqrt(200))**2)*4.\nAnswer: -66372\/25 + 36*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -9*o**3 + 2*o**2 + o - 2. Let x be r(-2). Let p = -106 + 111. Suppose -2*l + x = -p*m, -5*l = 5*m - 0*m + 90. Is -14 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -8 (b) -0.1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (36\/20)\/((585\/6)\/13*(-3)\/300)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1290019*w**3 + 2766217 wrt w?\nAnswer: -3870057*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-629)\/6 + (300\/90)\/(48 - 44)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 minus 148.009691?\nAnswer: -156.009691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvh when four letters picked without replacement from hvhvkkhhvkkh?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 18517.48ns?\nAnswer: 0.01851748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 110308 and 124?\nAnswer: 3419548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/((-217)\/31))\/(2\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 13. Suppose -14*m + k*m = 358. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140 and 73573640.\nAnswer: 73573640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5 + -143783990.\nAnswer: -143783988.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3. Let w(c) = -3*c**3 - 6*c**2 + 8*c + 6. Let k(q) = 7*q**3 + 13*q**2 - 17*q - 13. Let n(y) = 6*k(y) + 13*w(y). Calculate 4*h(b) + n(b).\nAnswer: -b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + d + 2. Let n be r(-2). Suppose 5*b + t = 12, n*b - 6*t = -2*t. Suppose 0 = -b*k + 19 + 13. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3527730.\nAnswer: 2, 3, 5, 19, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 281717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*k + 2*u, -2*k + 0*u = 3*u - 5. Let m be (-74)\/(-14) + 4\/(-14). Suppose -m*s - 4*d + 30 = 0, 4*d - 10 = 2*s - 50. Solve k*j - 6 = s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -5, 0.2, -159 in ascending order.\nAnswer: -159, -20, -5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/2)\/((-7)\/(-35 - -7)). Suppose c*x - 5*z = 63, -3*x + 47 = -z + 3*z. What is the remainder when 31 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, 1\/16, 2\/9 in decreasing order.\nAnswer: 2\/9, 1\/16, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5990292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 1\/2*f**2 + f + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 18*z - 320. What is i(26)?\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/16)*n)\/(n*n**(-1\/2)))**(-38)\/((n*n**(-2\/3)*n)**23*n*n**(-5\/6)*n*n**(-2\/3)) assuming n is positive.\nAnswer: n**(-1261\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 68917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88 - -90. Suppose 2 = -2*i + 4*b, 0 = -i + t*b - 4*b + 7. Let -8\/3 - 22*p**2 + 25\/3*p**4 - 5\/3*p**i - 44\/3*p = 0. What is p?\nAnswer: -1, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t + 16. Let p be (41\/(-7))\/(-10 + (-276)\/(-28)). Let f = p + -53. Determine o(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 + 62*f - 88*f - 130 + 74*f + 130.\nAnswer: f**2 + 48*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -19, -16, -11, -4?\n\"Answer: j**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002099 to 4 decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3338.497 - -3317.4. Let r = -1030.8 + 1052. Let v = r + c. What is v rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30134 (base 5) in base 2?\nAnswer: -11101111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5355 (base 7) to base 13\nAnswer: -b34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.8 + 296.8. Let o = a + -296.1. Is o at least as big as -0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c - 3*c + 4*c)*(-20 + 8 - 4)*(-9 - 5 + 7)*(3 + 14 - 1) in the form x*c + k and give x.\nAnswer: -5376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, n: 5, q: 2}. Give prob of sequence qn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4199267?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6300) + -1)**2 + sqrt(63).\nAnswer: -57*sqrt(7) + 6301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39732 by 516.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*o + 6*o = 4, -4*o - 8 = 0. What is the highest common factor of h and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (53 - -79) + (-2)\/(-2) and 114?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 102*j**2 + 2*j - 1. Let d be q(2). Suppose -1163 = -4*o - d. Suppose -2*w = 2*w - o. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-7) - (-16)\/7. Is 4 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*j**3\/4 + 2505*j**2\/4 - 18450*j - 13500.\nAnswer: -3*(j - 60)**2*(7*j + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -2\/5 (c) 5 (d) 2599 (e) 19 (f) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*z + 1116 = -52*z + 2*w, -3*z + 1678 = 4*w. Let j = z + -488. Calculate the greatest common divisor of 22 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2250 and 9750.\nAnswer: 29250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + sqrt(171))**2 - -6*(-1 + sqrt(171)).\nAnswer: 24*sqrt(19) + 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -19480\/17111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67 - 46. Let d = p + -32. Let y = 20 + d. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86899 is divided by 6723.\nAnswer: 6223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.315094 millilitres to litres.\nAnswer: 0.002315094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-96)\/(-840))\/(6\/(-21)))\/(-4)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000412305 to 7 dps.\nAnswer: 0.0000412","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -5, -8, 2, 41 in decreasing order.\nAnswer: 41, 8, 2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/21794 and 9\/2564?\nAnswer: 43588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-32)\/((-1)\/(-12)*-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 10*m**2 - 25*m + 13. Let h be p(12). Let i be -9 + (-3)\/h + 7. Suppose -9 = 2*z - 3. Is i at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001814515 to 7 dps.\nAnswer: -0.0001815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2852 + 0.2\nAnswer: 2852.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and -1.2015.\nAnswer: -0.7015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75669 is divided by 94?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -685*t**2\/4 + 665*t\/4 + 5 = 0.\nAnswer: -4\/137, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h - 39. Let r(i) = -i + 58. What is -7*n(k) - 5*r(k)?\nAnswer: -2*k - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = g - 27, -36*g - 96 = -3*a - 38*g - 54 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150) - (sqrt(150) - 2*sqrt(150)*-3) - sqrt(150))\/sqrt(5))\/(5*5*sqrt(294)).\nAnswer: -sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 477 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -298, -459, -530, -505, -378, -143, 206, 675?\n\"Answer: t**3 + 39*t**2 - 285*t - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c = -11*c + p + 4, -3*c = p + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 5:14 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8832.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 3, h: 7, m: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/(53165\/(-93)))\/(147\/(-11270))?\nAnswer: -46\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (88\/110)\/((24\/15)\/(-4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(((-2)\/(-7))\/((-20)\/(-35))). Suppose -d*u + 2*k = -30, -4*k + 60 = 5*u - 6*k. What is the least common multiple of u and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4 - 4066*p**3 - 32642*p**2 - 28574*p.\nAnswer: 2*p*(p - 2041)*(p + 1)*(p + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 723 divide 2142218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 - 5. Let z(b) = -1. Let c(d) = p(d) - 5*z(d). Let y(j) be the third derivative of j**5\/30 + 35*j**2. Determine y(c(q)).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 430386?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**4 - 20318*h**3 - 754504*h**2 = 0.\nAnswer: -37, 0, 10196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -9 + 39 + 15 + 13*k - 6*k. What are the prime factors of y(8)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3054, -3032, -2986, -2910, -2798?\nAnswer: -2644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 16176.\nAnswer: 16176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -2\/9*b**3 + 0*b + 68 + 2\/3*b**2 - 1\/6*b**4. Factor m(u).\nAnswer: -2*u*(u - 1)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 - u**2 + 13*u - 1 - 10*u. Determine b(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {l: 2, t: 2, h: 6, x: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -11 - 775*h**3 + 777*h**3 - 4443*h - 9*h**2 + 4428*h. Determine n(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 5:35 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 + -46. Solve 3*w - 8 - 2 = g*m, 0 = m + 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 217b - 9974?\nAnswer: -77d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -221 (b) -10 (c) 0.5 (d) -1\/3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 4*w + 52 = 0, -w - 9 = -33*r + 38*r + w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30646\/(-1815) + -1 + (-9)\/(-11). Let c = -67\/5 - n. Suppose 4*t - 9 - 7 = 0, -2*t + 33 = 5*z. Which is smaller: c or z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77818957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-13))**19*z*z**(-9)\/z*z*(z\/(z\/(z*z\/z**(-1\/35))*z))\/z assuming z is positive.\nAnswer: z**(-8924\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -17*u. Let z(k) = -1743*k**2. Give w(z(c)).\nAnswer: 29631*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 1. Let w(q) = 4*q**2 + q - 2. Let m(u) = -4*j(u) + w(u). Let i(a) = 5*a**2 - 4*a + 2. Determine 5*i(t) - 6*m(t).\nAnswer: t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156727 by -156727.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 43038813 - -61\nAnswer: 43038874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 44*t - 2. Let q be x(19). Suppose -6*n = 132 - q. Calculate the remainder when 3*n\/(-3)*(-4)\/12 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 9:01 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -11. Let l = -128.1 + 127.9. What is the closest to -1 in n, -0.4, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310480 is divided by 722.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 7:17 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -10*q**2. Let h(s) = 135*s + 2. What is n(h(m))?\nAnswer: -182250*m**2 - 5400*m - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 1588?\nAnswer: -1588.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - (-43)\/9)\/(4\/30). Let f = 0.1 + 0. What is the third smallest value in p, -4\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 8*k**2 - 8*k - 5. Let c be b(-7). Suppose 0*l - l = -c. Suppose 2*z - 12 = -l*z. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 2 = -2*v. Solve 7 = 5*b + 4*f, -5*f = -6 - v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m**5\/7 + 18*m**4\/7 - 48*m**3\/7 - 72*m**2\/7 + 96*m\/7 = 0. Calculate m.\nAnswer: -4, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3*-1*3984\/(-72)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 7*c**2 + c. Let d be v(-7). Let r = 0.03 + -0.43. Let j be 14\/(-98)*(0 - 0). Sort -2, r, j, d in ascending order.\nAnswer: d, -2, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.48 + 0.78. What is the nearest to -0.1 in 14, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1757492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3017 + -3015. Let t(v) be the second derivative of 0*v**3 + 1\/2*v**4 + 8*v**o + 0 + 8*v. What is the derivative of t(r) wrt r?\nAnswer: 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 - 22. Let u be -4 + 1*(v + 3). Suppose -5 - u = 5*q, 0 = 3*s - 2*q - 74. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**2 - k + 14. Let c = 5535 + -5530. Let r(h) = -2*h**2 - h + 13. Calculate c*r(j) - 4*g(j).\nAnswer: 2*j**2 - j + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 8:38 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6267 and 85773.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 + -35. Solve y = -5*u - 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.07 (b) -0.2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -1 + l**2 - 2*l**2 - 11*l + 3. Let b be d(-11). Suppose 2*c = 4*h - 12, -13 = c - 5*h + b. Solve c = u + u + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33*c*g**3*n**3 + c*g**2*n - 2*c*g*n**2 - c - 22*g**3 - 3*g*n + 2*n**2 wrt n.\nAnswer: -198*c*g**3*n - 4*c*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3, 1\/3, -38, 0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.598751 years to months.\nAnswer: 103.185012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1499525 and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 5, 1, -10\/3 in increasing order.\nAnswer: -10\/3, 0.5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (5685*m**3 - m**2 - 7491*m**3 + m**2 + 15769*m**3 + 30186*m**3)*(-3 + 0 + 4) as g*m**2 + u + a*m**3 + v*m and give a.\nAnswer: 44149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 2*j + 1. Let p be (-1)\/((-5)\/75*-3). Let q(f) = -f**3 - 5*f**2 + 115*f + 70. Let x(u) = p*n(u) - q(u). Differentiate x(z) with respect to z.\nAnswer: 3*z**2 - 105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4061*p + 7790. Determine z(2).\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -44878 in 1, -0.04, 2\/9, 3.8?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 489243 and 218943.\nAnswer: 2703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 - 5*p + 9. Let t(q) = -q**2 - 3*q + 5. Let v be 50\/18 - (-6)\/27. What is v*z(c) - 5*t(c)?\nAnswer: -c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3900894.\nAnswer: 2, 3, 359, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8917655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -3*t + 0*t**2 + 4 - 11\/3*t**3 - 11\/4*t**4. What is the second derivative of o(p) wrt p?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000368370456 to six decimal places.\nAnswer: -0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 9*j + 16. Let r(m) = -16*m - 5*m + 43*m + 32 - 13 + 21. Suppose -4*c - 10 = i - c, 5*i = 3*c + 40. Calculate i*r(n) - 12*l(n).\nAnswer: 2*n + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*l + 10 - 58 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*v + 7815 = 5*p, -3112 = -2*p + 2*v. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1302 by -22.\nAnswer: -651\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/13 + 18*l**2\/13 - 30*l\/13 - 50\/13.\nAnswer: -2*(l - 5)**2*(l + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 290?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1226368 by -9152.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l - 11. Let w(h) = 10*h - 22. Calculate 2*w(j) - 5*y(j).\nAnswer: -5*j + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -326 - 7063?\nAnswer: -7389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2 - 8 + 4 - b. Determine g(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*x - 45 = 17, 0 = r + 2*x + 6. Let z = r - -99. List the prime factors of z.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 10 - (3 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a kilometer in meters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 + (-600)\/(-50)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 675 by 1.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1078 - 1080. Suppose 0 = 3*s + 5*t, -2*t - 9 = -5*t. Which is the closest to -2? (a) s (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 53 + 278. Calculate the smallest common multiple of 1 and h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/6)\/(30\/10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 4*t + 37 = 0, 759 = 2*r + t + 758 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 1)*(4 + 2 - 4)*(2*u + 1 - 1)*(-2 + 4 - 4) to the form w*u + c and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6749, -13974, -21675, -29852?\n\"Answer: -238*m**2 - 6511*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 5*t + 45, -4*l = 3*t + 687890 - 687865 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-18\/7)*b)\/(b\/b**(6\/7)) assuming b is positive.\nAnswer: b**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 12:59 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 36384251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*q + 28*q - 37 = -2*x, 5*q = 69*x - 1572 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.8 and 277024557?\nAnswer: 277024558.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7815901 to the power of 1\/2, to the nearest integer?\nAnswer: 2796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*v + 5420, 5*v - 2939 = 3*a + 311. Let w = a + 709589\/654. Is w not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -366 = -3*i - 6*g + 2*g, 2*i + g = 249. Let z be 26\/6 - (-3)\/(-9). Suppose 9*w = z*w + 70. What is the highest common factor of w and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 6*l + 276. Let c(a) = -2*a + 24. Let r be c(12). Is 23 a factor of d(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by (-5 - (-462)\/6)*2\/4.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u - 11089683 + 11089683.\nAnswer: -13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58 + 7 + (-183 - -151) + -19.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/39? (a) 1.4 (b) 0.5 (c) 939\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c4 - 0?\nAnswer: -1c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(3) - (2*sqrt(147) + sqrt(147) - sqrt(147)) - sqrt(3)) + -2*sqrt(14)\/sqrt(2) + sqrt(28) + -1.\nAnswer: -1 - sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 + -12. Suppose -4*k + 8*k - v = 0. Factor -4*g - g**k - 2*g**2 + 5*g**2 + 2*g**3.\nAnswer: g*(g - 1)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -6*w + 13. Let h(m) = -m**2 + 15*m + 79. Calculate the smallest common multiple of w and h(19).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000008785 to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23261?\nAnswer: 7, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/60630 and -29\/8742.\nAnswer: 1879530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 6*x**2 - 73*x + 104. What is f(11)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2664 and 104562?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -5*o**5\/2 + 45*o**4 - 475*o**3\/2 + 315*o**2 = 0?\nAnswer: 0, 2, 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -39796 (base 13) to base 4\nAnswer: -122010022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - -5 - (28 - 3). Let t = 21 + l. Solve -2*p - p = t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10 + (-4)\/(-8)*-2. Let g(k) = k + 1. List the prime factors of g(u).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3 = -7. Suppose -5*g = v*b + 6, 28 - 8 = -5*b. Suppose -g*x + 12 = 2*x. Solve x*q + 20 = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = 11*h + 8. Let p(s) be the first derivative of 2*s**3 + 0*s**2 + 0*s + 3\/5*s**5 + 9\/4*s**h + 3. Factor p(b).\nAnswer: 3*b**2*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-0.47.\nAnswer: 2.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*v + 82 = -163 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90938902?\nAnswer: 2, 19, 41, 58369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1007.658 times 5\nAnswer: 5038.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11122 + -2?\nAnswer: 11120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 662 is divided by 85?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 82, -0.7, -241, -7.9, -0.5, -2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, e: 2, c: 9, q: 1, m: 4}. What is prob of sequence eq?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (35*b - 609 + 1214 + 5*b**2 - 609)*(-3*b - 3*b + 5*b) as i*b**2 + s*b**3 + p*b + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*-2*3 + -1 + 0 + (5*sqrt(224))\/(sqrt(14)\/(sqrt(8)\/sqrt(4))))**2.\nAnswer: 104*sqrt(2) + 5409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -4, -22?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, x: 2, z: 1}. Give prob of sequence rzz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43400*d + 34 = -43395*d + 4*h - 107, 14*h - 15 = -d for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x. Let u be (9\/(-6))\/(18\/(-24)). Let c(f) be the first derivative of 0*f**2 + 1\/3*f**3 + 0*f - u. What is c(j(g))?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -172 + 180 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-246*l - 237*l - 11*l)*(-20 - 1 + 8)*(0 + 1 + 1).\nAnswer: 12844*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3\/9 + 94*p**2\/9 + 256*p\/3 - 96 = 0. Calculate p.\nAnswer: -36, -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t. Let o(f) = -25*f**2 - 4. Give v(o(h)).\nAnswer: 50*h**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 1\/18*q**4 + 0 + 1\/120*q**5 - 27*q + 0*q**2 - 1\/180*q**6 - 1\/9*q**3. Determine v, given that u(v) = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**2 - 26*z + 5. Calculate n(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274 - 30*l - 274 + 31*l - 4*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5252676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(14)\/sqrt(2) - 6*(sqrt(7)*3)**2.\nAnswer: -378 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g = -0*g + 216. Let p be 0 - (-2 - 2\/1). Solve 2*s - 2 = 4*s + p*v, v - g = -3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 13 - 1. Let u(r) = -2*r**2 + 13*r - 6. Let l be u(b). Suppose q + 4*q = -l*q. Solve -31 = 5*o - 4*m, 4*o + 20 = -q*m + 2*m for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-5)*m*m**(-12))\/(m**(2\/27)*(m*m**(-6)*m)\/m*m*m) assuming m is positive.\nAnswer: m**(-326\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.8 - 32.8. Let g = -27.2 - x. Which is the second biggest value? (a) -9 (b) g (c) 1 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 16 = -3*j. Let p = j + 7. Find the second derivative of 0*u**3 + 4*u + 0*u**p - u**5 - u wrt u.\nAnswer: -20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2. Suppose n + 4*w = -2*n + 92, 0 = 5*n - 3*w - 134. Let i = 61 - n. Let y(p) = 67 + 16*p - i - 34. Determine v(y(c)).\nAnswer: -256*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -4185?\nAnswer: 1\/1395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 515 + -347. Is z a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21*((-154)\/294 + (-4)\/(-6)). Solve 5*i = 5*v, 3*i - 2*i = -o*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4602 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of o**5\/60 + 5*o**4\/24 + o**3 + 125*o**2\/2 + 2*o + 169. Let g(a) be the first derivative of z(a). Calculate g(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**2*u*u**(-2\/7))\/(u**8\/(u**(4\/7)\/u*u)))**(-22) assuming u is positive.\nAnswer: u**(726\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 388314 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 12*i - 15. Suppose 0*z = -z - 10. Let n be j(z). Suppose -1140010 = -5*s + n*p, -2*p = p + 6. Round s to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + 34. Is 14 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w - w + 0*w + 2)*(-24 - 4 - 8 + (-3 - 3 + 4)*(1 - 2 + 5))*(0 - 1 - 1 + (3 - 1 - 6)*(-2 - 1 + 1)) to f*w + y and give y.\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3095950921 to the nearest integer?\nAnswer: 1457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**4\/6 + 167684*g**3\/3 - 14058291176*g**2\/3 - 37491459456*g - 74984707584 = 0. What is g?\nAnswer: -4, 167688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -79*n + 1048. What is k(19)?\nAnswer: -453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 21*m - 11. Give d(-19).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 12 - 8) + -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -7*i + i + 5*i - 1. Let d(k) = 4*k + 7. Give d(l) + 5*y(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 8*y = -21 + 79, 15 = 3*k + 3*y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4*1*sqrt(432) + sqrt(432) - (sqrt(432) + (sqrt(432) - (sqrt(432) - (-1 + (sqrt(432) + 0)**2))))) + -3 + -2.\nAnswer: -441 - 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 280822?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/9 + 10*w\/9 - 28\/9.\nAnswer: 2*(w - 2)*(w + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 24 = -2*g, -15*g = -20*g - 5*i for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -34, 4, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - 20 - (2 + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/3*(6 + 90\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 4*d**5\/5 - d**4 - 4*d**3\/3 + 2*d**2 + 6. Factor u(j).\nAnswer: 4*j*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54825404 is divided by 1088.\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/1 + (-15325)\/(-2452))\/((-78)\/4).\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 - -49. Let l(q) = 2*q + 24. Let x be l(s). Solve -1 = 3*f - 5*z + 5, -3*z - x = 5*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 + 99. Suppose 5*t = -c + 24, -4*t = t - 5*c. Calculate the highest common divisor of t and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 115*j - 50*j = 64*j + 15, 4*d - j + 15 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -850 times 8.29273?\nAnswer: -7048.8205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or -10818\/103?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 2\/3 (c) -0.4 (d) 2 (e) -1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0, 538.94 in descending order.\nAnswer: 538.94, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -22, -38, -54, -70?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*((-25)\/(-4))\/25. What is the closest to 0.1 in s, -165, -3\/8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 2*c = 4*x - 28, -16 = 4*x - 5*c. Let o(q) = q**2 + 10*q + 2. Give o(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 2*g - 20, -4*g - 20 = -h - 0*h. Sort 1, h, -5.\nAnswer: -5, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-12))\/((-1)\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1387848 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.0907, 0.3, -2, 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1749725 is divided by 1729?\nAnswer: 1706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-42)\/(-4))*(-2121)\/(-606).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -7*i. Suppose i = 3*r + 2*a + 4 - 66, a = -r + 22. What is the smallest common multiple of r and 84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 611045588 a multiple of 3282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 - 42*f - 46. Give c(22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22710330*q**4 - 4810*q + 981?\nAnswer: -272523960*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1243681 (b) -2 (c) -3\/4 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -89441?\nAnswer: -17888.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z - 2898. Let n(w) = -10*w**2. Determine d(n(q)).\nAnswer: -50*q**2 - 2898","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 132 * 5766.\nAnswer: 761112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -8*i + 3090. Suppose 3*d - i + 30 = 0. Let g = d + -77. What is the greatest common divisor of g and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/5 (b) -1 (c) -4763 (d) 0.03 (e) -26 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 796 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2069 + 2863216.\nAnswer: 2865285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-4 + -2 + 2*sqrt(200) + ((sqrt(200) + 2*sqrt(200))*-6 - sqrt(200))))**2.\nAnswer: 73440*sqrt(2) + 2082096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1816.\nAnswer: -3\/1816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 771376611 divided by -3629\nAnswer: -212559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a468 (base 12) to base 4.\nAnswer: -103210100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4*j + 122, 4*h + h - 4*j = 182. Suppose -34*r = -h*r + 8. What are the prime factors of 3\/r*(-4 + (-588)\/(-9))?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**4\/7 + 40758*l**3\/7 + 29655810*l**2 - 623138886*l\/7 = 0?\nAnswer: -10191, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18076 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -1\/4, 0.3, -5, 0.162511, 0.4, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/6)\/(1782\/264).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009410895 rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 7, -21, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5 = -o, 2*o = 4*x - 4 - 22. Suppose -10*k = -x*k - 64. Calculate the remainder when -3 + (500\/k - 2\/8) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 18 - 16 - 36*w + 37 + 46*w.\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 67?\nAnswer: 3\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51290 and 109250?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b + 4*b = 75. What is the closest to -2 in -3\/215, 0.04, b?\nAnswer: -3\/215","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04 + -0.14. Let o = -0.1 + z. What is the third smallest value in -2\/9, o, -1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/367, 0.5, -3, 20, -0.7, -2\/9 in ascending order.\nAnswer: -3, -0.7, -2\/9, 2\/367, 0.5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -52081, -104156, -156229, -208300?\n\"Answer: b**2 - 52078*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 1 = -r, -3*m - 2*r + 101 = 0. Let b = m - 29. Suppose 148 = 4*s + 5*i, 3*s + s + b*i = 152. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -1 + sqrt(99) - sqrt(99)) + sqrt(99) + (sqrt(99) - (-4 + sqrt(99)*-1 + sqrt(99) - sqrt(99))))**2*5.\nAnswer: 270*sqrt(11) + 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 1, -67, 29, 23, 2 in decreasing order.\nAnswer: 29, 23, 6, 2, 1, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1214 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -489, -851, -1213?\n\"Answer: -362*z - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 175560, 175564, 175570, 175578, 175588, 175600, 175614?\nAnswer: 175630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**3 + 6*b**2 - 4*b + 29. Let x(a) = -2*a**3 + 2*a**2 - a + 15. Let l(f) = -3*g(f) + 5*x(f). Give l(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13607836 to the power of 1\/3, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 8*a - 8. Let i be t(10). Suppose s = f + 2, -3*f - 3 = 2*s - i. Suppose 3 = 3*g + s*q - 0, 4*g - 4*q = 20. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -905 + 2778?\nAnswer: 1973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 - s**5 + 3*s**5 + 0*s**5 + s**5 + 3*s**5 - 6*s**5 + (8*s**4 + 9*s**5 - 8*s**4)*(-54 + 29 + 32).\nAnswer: 63*s**5 - 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*t + 45. Suppose -10*s - t = -11*s. Solve 8*f - 3*f = s for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*g = 311 + 349 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 4*l - 14, -4*f - 13 = 5*l + 5. Which is smaller: f or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1020 and 318?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (-2)\/6 - 26\/(-6). Suppose r - 4*i - 98 = 0, -o*r = i - 919 + 387. Let k = r - 9. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -173943 + 257697. Round y to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2322155 divided by -9.\nAnswer: -2322155\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 99, -31, -157, -279, -397?\n\"Answer: 2*s**2 - 136*s + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 516, 635, 716, 741, 692, 551, 300, -79?\n\"Answer: -3*c**3 - c**2 + 143*c + 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*n + 3*l - 1593 = 0, 5*l = 2*n + 1071. Let x be (16\/n)\/(1\/6). Which is greater: -0.4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 121? (a) -1\/2 (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*l - 22 = 2*j + 40*l, -13*j - 5*l = 85 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13892944?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*g + 7*g, 4*b - 3*g = 11. Suppose -b*c - 3*c = -7*c. Suppose -j + 140 = z - 5*z, 2*z + 10 = c. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*i + 322 - 322)*(1 - 1 + 1)*(2 - 2 - 4*i)*(-2*i - 2 + 2).\nAnswer: 424*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5182352?\nAnswer: 2, 7, 46271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 26*z = -30*z - 473, 0 = 5*u + 5*z - 455. Suppose -27 = -2*p + 1. Calculate the remainder when u is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -138 + 152. Suppose 0 = -4*v + d*v - 50. Let 0*n**3 + 0*n + 0 + 16\/7*n**2 + 4\/7*n**v - 12\/7*n**4 = 0. What is n?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11750 minus -1519?\nAnswer: -10231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 233873 to the power of 1\/2, to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 622.48698 microseconds to hours.\nAnswer: 0.00000017291305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g*g*g\/((g\/((g*g**(-2)*g)\/g))\/g)*g*g)*(g*g*g**(-8))\/g*(g\/g**(1\/4))\/((((g\/g**(-2))\/g)\/g*g)\/g))**(1\/21))**(4\/41) assuming g is positive.\nAnswer: g**(-37\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*c*s**4 + c*s + 43908*s**3 - 3109*s**2 - 82663*s + 653 wrt s?\nAnswer: -24*c*s**2 + 263448*s - 6218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g + 1. Let j(w) = w + 1. Let h be j(3). Suppose 0 = -6*k + h*k. Suppose -4*y - 7 - 9 = k. What is q(y)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**5\/20 - 2*g**2. Let p(t) = 0*t**2 + 0*t**2 + 4*t**2 - 2*t**2. Give p(b(m)).\nAnswer: 18*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 25639 - 0?\nAnswer: 25639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000071757244 rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57120 and 38250?\nAnswer: 4284000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.049 (b) -891344 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 1 - 2 + 3*g.\nAnswer: 3*g - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**4 + 9*c**3 + 15*c**2 + 7*c = 0.\nAnswer: -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 19269298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 276\/(-46)*11\/297?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + y - 44, 4*k - 4*y = -19 - 13 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 5:53 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -2, 301925, 4.\nAnswer: -3, -2, 4, 5, 301925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 9. Let f be ((-46)\/8)\/((-26)\/104). Let a be 6\/8 + f\/(-4). Calculate o(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*m + 152 = 4*l, 2*m - l - 147 = 0. Calculate the remainder when m is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 215010.2571 + -215244.4. Let h = 234 + n. What is h rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/15)\/(47\/282).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 3. Let b(r) = r**2 - r - 4. Let p(v) = 3*b(v) + 4*k(v). Let y be (-14)\/(-3) - (-4)\/(-6). Suppose -y*l = 9 + 7. Calculate p(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.2 in 243218.8, -1\/7, 2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1215497 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-210)\/2100)\/((9\/48)\/(21\/4)).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + -1 + -2 + 5)**2 + -1 + -3.\nAnswer: 16*sqrt(7) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 754 and 426671635?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 9:47 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27468108 a multiple of 302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -231.29.\nAnswer: 69.387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0103437 to 4 dps.\nAnswer: -0.0103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13401969 is divided by 20714.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121306 is divided by 10108?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -10*r + 5*r + 48, -5*r = -3*b - 69. Solve 8*o - 2*o - r = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.3, -2\/9, 0.50054 in ascending order.\nAnswer: -3, -2\/9, 0.3, 0.50054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 4:11 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002093 to 7 decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1826 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 w, and 2 r when four letters picked without replacement from awrswwwswwrrs.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**7\/63 - 2*d**6\/45 - d**5\/15 + 4*d**4\/9 - 7*d**3\/9 + 2*d**2\/3 + 59*d. Find n, given that l(n) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 499 - 483. Suppose -q*c = -8422 - 7098. List the prime factors of c.\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -296869*p. Let r(d) = -2*d**2. What is u(r(g))?\nAnswer: 593738*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Convert -439702 (base 12) to base 4.\nAnswer: -10012032302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/13 (b) 2 (c) 0.105 (d) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 + 22*l + 8. Let o be v(-7). Let x be 2\/4*o\/(-84). Which is the nearest to x? (a) -1\/4 (b) 6 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7994 or 9?\nAnswer: -7994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3334 - 3336. Let s be 2 - (25\/9 - 1). Which is the nearest to s? (a) 6\/7 (b) o (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**3 - 4*u**2 + 10*u - 130. Let o(i) = -3*i**3 + 3*i**2 - 8*i + 130. Calculate -3*g(x) - 4*o(x).\nAnswer: 3*x**3 + 2*x - 130","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*x + 15, 3*x + 22 = 2*s - 8. Suppose r - s - 1 = 0. Does 4 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 226 = -3*i - 0*g, 0 = -3*i - 5*g + 191. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**3 - 810*k**2 - 4*k - 26384.\nAnswer: 3*k**2 - 1620*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8935 at most 8902?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 4, 1\/4, 297?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (35\/32 - 1)\/((-18)\/9996*-85) and -73\/160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/30 - (-9)\/(-6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(3) - -1*sqrt(3))*6 + (-1 + sqrt(27))**2.\nAnswer: 6*sqrt(3) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 8*i - 9. Let l be n(6). Let h = -124 - -118. Put l, h, -1 in ascending order.\nAnswer: h, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29650013.57 rounded to the nearest ten thousand?\nAnswer: 29650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 1 - 6 - ((-17 - -16) + -18) - 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -q**4\/12 - 11*q**3\/6 + 3*q. What is the remainder when f(-5) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - ((13 - 18) + 13) - (-2 + 1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -1.6, 10, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 19, 165, 407, 745?\n\"Answer: 48*b**2 + 2*b - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, x: 1, s: 4, t: 2}. What is prob of sequence txts?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 60538609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -2*f**2 + 2\/3*f**3 + 0*f - 4. Find the second derivative of m(i) wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a decade in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 - 4*l**3 + 0*l**3)*(2148 - 2148 - 2750*l).\nAnswer: 5500*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of s**2\/2 - 3*s - 409. Give i(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.0528, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34.94 and 0.2.\nAnswer: -6.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*p - 3*p. Let i(f) = -p*f**2 - 121*f + 121*f. Let j(r) = 186 + 3*r**2 - 186. What is i(j(s))?\nAnswer: -90*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2283 is divided by 36.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i - 3911 = 7513. Does 48 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f - 2940 = -f. What is the second derivative of -f - 44*g**3 + 16*g + 25*g + 147 wrt g?\nAnswer: -264*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (294\/(-5))\/((372\/(-310))\/(12\/9)). Determine q, given that -112\/3*q**4 - 16\/3*q + 0 - 60*q**3 + p*q**5 + 112\/3*q**2 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 7*v**2 - 7*v - 1. Let z be i(-6). Let d = 93 - 98. What is the biggest value in d, z, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0 = -3*a - 43, -3*b + 4*a + 34 = 0. Solve 4*j - b = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 16) to base 11.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 6473.\nAnswer: -12946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -13*c**3 + 20*c**2 - 28. Let o(b) = 3*b**3 - 5*b**2 + 6. Let j(u) = -2*i(u) - 9*o(u). Calculate j(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 32*u**2 - 33*u - 54. Let k be r(-31). Suppose -k*d + 3*d + 2*f = -122, -5*d + 3*f = -123. Calculate the remainder when 85 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*v = 54*v - 54. Let j = v + 63. Let u(f) = -f - 1. Let x be u(-8). Solve -x = -4*b + j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1992 a factor of 1156654800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 8 = -a. Suppose -a*z + 52 = 4*j, 4*j + 108 = 2*z + z. Suppose 0 = x - 4*x - 2*y + 34, 0 = 3*x + y - z. Solve -5*n + x = -10 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/4 + 11479*w + 137739\/4.\nAnswer: (w + 3)*(w + 45913)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**5 - 12*n**4 + 8*n**3 + 12*n**2 - 10*n.\nAnswer: 2*n*(n - 5)*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**3\/6 + 5*o**2\/2 - 37*o. Give w(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 371 and 1325?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -332903610 divided by 162630.\nAnswer: -2047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -93, -140, -187?\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 11*s**2 - 7*s - 6. Let v(j) = -j. Let l(h) = c(h) + v(h). Let p(b) = 4*b**2 - 3*b - 2. What is 3*l(q) - 8*p(q)?\nAnswer: q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8059 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 1. Let g(t) = 101*t + 4. Let l(w) = g(w) - 5*y(w). Is l(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*a = 2*p - 60, -3*a = p - 28. Suppose 31*i - p*i - 279 = 0. Calculate the highest common divisor of 31 and i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/(-120))\/((-4)\/(-10))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117941 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1320 + 114452?\nAnswer: 113132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 24*i - 13. Let q(x) = 18*x - 13. Let k(v) = -3*q(v) + 2*t(v). Calculate k(14).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -7*d**3 - 2*d - 1. Let s be v(-1). Let p = 1921 - 1919. Solve -g - p*t = -s, -t + 1 = g - 5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 35*h**2 + 90*h - 187. Let c be k(-32). Sort -19, -4, c, 8 in increasing order.\nAnswer: -19, -4, c, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -79 or -21?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpu when three letters picked without replacement from zzugpguuzuzuzzzgu.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 81*c. Let h(v) = 2*v**2 - 296. Give p(h(t)).\nAnswer: -4*t**4 + 1346*t**2 - 111592","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -13133196250 to the nearest 1000000.\nAnswer: -13133000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 904.8353s in microseconds?\nAnswer: 904835300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -74*r - 264. List the prime factors of t(-20).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -249 (base 10) to base 2\nAnswer: -11111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20404 - 35?\nAnswer: -20442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2451159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 4)*(-i + 0 + 0) - 3*i + 4*i - 2*i)*(-4*i**2 - 2*i**2 - 11*i**2) - 2*i**3 - 2*i**3 + 3*i**3.\nAnswer: 33*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 9 = -3*z, 4*z + 25 = 13. Find k such that 0*k**2 + n + 1\/4*k**3 + 0*k + 1\/4*k**5 + 1\/2*k**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b - 36 = 2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.1424 (b) -4 (c) -3 (d) -0.734 (e) -5 (f) -2 (g) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 3, 87, 1.11, -2 in increasing order.\nAnswer: -2, 0.3, 1.11, 3, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2357*t - 3905. What are the prime factors of m(6)?\nAnswer: 29, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 - 575*o - 28069. What is i(330)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + 0 + 0 + (4*t**2 - 2*t**2 - 3*t**2)*(4*t + 5*t - 3*t))*(20 - 4 + 66).\nAnswer: -656*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -136*u - 1070. Let d be y(-8). Suppose 7*i + 186 - 732 = 0. Calculate the greatest common divisor of i and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29402 is divided by 186?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -3, -2, 1 in ascending order.\nAnswer: -3, -2, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 410735869.\nAnswer: 773, 531353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10586\/25 - 29669\/100. Factor -39\/2*j**3 + w*j**2 + 0*j + 0 + 3\/4*j**4.\nAnswer: 3*j**2*(j - 13)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + 3*r**3 + 0*r**3)*(-3 + 8 + 0)*(12686 - 12686 + 95*r) + 0*r - 2*r**4 + 0*r.\nAnswer: 1898*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-1*sqrt(6))\/sqrt(3) + (sqrt(22)*3)\/sqrt(11)).\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -554944, -554985, -555028, -555073?\nAnswer: -555120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-9) - (-35)\/21. Suppose -l - a*l = -39. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -51*k - 11. Let t = -51 + 48. What is the units digit of o(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18.6551099, 0.4, -3 in increasing order.\nAnswer: -3, 0.4, 18.6551099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**4 + 310*k**3 - 3645*k**2 + 14040*k - 17280 = 0. What is k?\nAnswer: 3, 8, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 22.4. Let t = f - 0.6. Let r = 5.15 + t. Round r to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 4*l + 0*l + (0 - 3 + 1)*(-3*l + l - 2*l))*(5 - 3 - 1)*(-1 + 0 + 2 + (0 - 1 + 0)*(2 - 5 + 1) - 2 + 4 + 0 + 1 + 1 - 3 - 4 + 10 + 9).\nAnswer: 114*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 377*u**2 + 0*u**2 + 231*u**2 - u - 1 - 21*u**2. Is x(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54.54 - 54. Let j = g - 0.54000046. Round j to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -96, -142, -206, -294, -412?\nAnswer: -566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/17)\/(68\/578)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -466*s + 21893. Calculate f(47).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c + 13834 = 14716. Which is smaller: 2\/41 or c?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 693\/315*960\/(-220)?\nAnswer: -48\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19, 0.2, 23426?\nAnswer: 23426","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k + 21. Let g be 624\/(-72)*1*3. Let u = g + 17. Let d be c(u). Solve -o = d*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t + 186 = 8*t. List the prime factors of t.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*i + 8, -2*p + 3*i = -6*p - 52. Let r be ((-22)\/p - 4) + 2. Which is the biggest value? (a) 1 (b) -0.4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 13, g: 3}.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-11)\/33)\/(2\/(-366)). Suppose 0 = -5*o + 2*i + 120, 3*o + 0*o = -i + h. Suppose 0 = -k + o - 4. Calculate the lowest common multiple of k and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l**2 + l + 3. Let f(q) = -5*q - 8. Calculate the remainder when s(-4) is divided by f(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 799888836 + 0.1?\nAnswer: 799888836.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -265492*h**3 + 12033*h + 7.\nAnswer: -1592952*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*q**2 + 16*q + 32*q**2 - 85*q**2 + 27*q**2.\nAnswer: 4*q**2 + 16*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 5*b = 35, 7*b - 2*b - 115 = -5*s. Let y(q) = 13*q**3 - 1. Let o be y(1). Let n = s - o. Solve -n*a = -4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (436\/(-24))\/(3\/9)*-11. Which is smaller: 600 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3239660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39765 is divided by 133.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11111100010100010 (base 2) in base 3?\nAnswer: -20120012200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 4*i - 21, -5*a - 2*i + 156 = i. Let h = 18 - 9. Calculate the remainder when a is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 4, -7.5, 9, 5, 898?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 513 is divided by 508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-3)*(-6)\/5. Suppose -y*g - 8 = 2*d, d - 2*g + 7 = -5*g. What is the second derivative of -2*k - 4*k**d + 5*k**2 - 2*k**4 - k**2 wrt k?\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -251998, -251461, -250922, -250381?\nAnswer: -249838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -7. Solve -h + 2 = -3*h - 3*y, z*h = -5*y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -43*d + 302. Let y(g) = -9*g + 61. Determine -4*q(x) + 19*y(x).\nAnswer: x - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/150*-20*(-1485)\/18.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 4. Let t = d + -3. Is t smaller than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 1. Let d be v(2). Suppose -d*p + 6 = 5*a, -6*a = -10*a. Solve 0 = -p*h + 10*h - 24 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36314?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*m + 30372. Let u = m + 76027\/10. What is the common denominator of 19\/6 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6347353 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/2 - 341*h**2\/2 + 1494*h.\nAnswer: h*(h - 332)*(h - 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -240*h**2*u**3*z**2 - 13*h**2*u**3 - h**2*z**2 + 14*h*u**3*z wrt z.\nAnswer: -480*h**2*u**3 - 2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 1178755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 93*y**2 - 96997*y - 2086 = 0.\nAnswer: -2\/93, 1043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 4 - 21*j + 72*j**2 + 27*j.\nAnswer: 72*j**2 + 6*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9437294.\nAnswer: 2, 37, 73, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**23))**(-4\/23) assuming q is positive.\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**1)\/(j*j\/j**(-2)))\/(j**(1\/4))**(2\/107))\/((j*j*j*j\/(j\/j**(-2))*j)**(3\/10))**(3\/8) assuming j is positive.\nAnswer: j**(-9543\/4280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5075070 and 2310?\nAnswer: 5075070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 - 660925*k**2 - 1321835*k - 660915.\nAnswer: -5*(k + 1)**2*(k + 132183)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22911143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114122212?\nAnswer: 2, 643, 44371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-2)\/52*((-28084)\/119)\/(-59)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 221*l + 52. Let k(h) = -21*h - 5. Let i(j) = -5*c(j) - 52*k(j). Let b(n) = n**2. Give b(i(t)).\nAnswer: 169*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.7 - 0.92. Let j = -0.22 - t. Which is the third biggest value? (a) j (b) 4\/9 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4047 is divided by 90?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3573, -7\/5.\nAnswer: -3573, -7\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**2 - 351660*q + 30220572 = 0.\nAnswer: 86, 117134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -13. Suppose -q*v = v - 80. Calculate the greatest common factor of 112 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rrrrrlrrrrrr.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 * -2098190.\nAnswer: 46160180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-49) + 17907\/(-37338)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**3\/5 - 1034*a**2\/5 - 1029*a = 0?\nAnswer: -1029, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s + 23. Let w be g(-7). Find the first derivative of 3*r + 86*r**2 + 7 - 3*r - 94*r**w wrt r.\nAnswer: -16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - 0. Let d be 1\/(-1)*(18 - -2). Let j = s - d. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 66444299 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15200 is divided by 1295?\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4608*r - 66357245 + 19731*r + 3199*r + 18108*r - 5*r**2.\nAnswer: -5*(r - 3643)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.878202ng in kilograms?\nAnswer: 0.000000000008878202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 9*y**2 - 11*y + 5. Let k = 5 - -5. Determine r(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + j + 3*j)*(1 + 6*j - 2*j - j).\nAnswer: 3*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425)*5 - sqrt(17))*2)**2.\nAnswer: 39168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/3, -4, 3\/49, -2\/5, 2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qt when two letters picked without replacement from {t: 1, q: 5, b: 1, g: 4}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6305748*i**2 + 681257*i - 1 wrt i.\nAnswer: -12611496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a + -4d33?\nAnswer: -4d3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, -1, -15, -39, -73, -117?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 288*g**2 - 3*g - 2. Let u(v) = -v**2 + 15*v + 10. Let w be u(15). Suppose w = -15*z + 5*z. Is h(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -626, -1251, -1876, -2501, -3126?\n\"Answer: -625*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 61 (c) 2 (d) 2\/5 (e) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 94*c + 101*c - 223*c + 56 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 97565000 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05131295 rounded to 4 dps?\nAnswer: 0.0513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -0.7, -901?\nAnswer: -901","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 5*s - 1. Let d be r(-4). Let l be (-2)\/6 + (-11)\/d. Is (-30 + -1)*(l + 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -16. Let p(m) = -m - 5. Let h be p(j). Let i = -0.03 - 1.97. Which is the third smallest value? (a) i (b) 4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 2. Suppose -2*p = 2*p. Let l be u(p). Suppose 4*i + 294429 + 35551 = -y, -l*i = -3*y - 990010. Round y to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/636*(-1848)\/(-99). Let q = 13\/53 + n. Let w = -1.2 + 1. What is the nearest to q in 2, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**4\/10 - 4*a**3\/15 - a**2\/5 - 3. What is m in g(m) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*b = -19775, 7896 = 2*n - 60*b + 58*b. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/70*226135\/12922.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g. Let x be 14 + (-160)\/16 - (1 - -2). Let d(p) = p - 2. What is x*d(y) - 2*q(y)?\nAnswer: 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 123422834 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 x be (-5)\/(-20) - (-2)\/(-8). Solve 38*n + 2*n - 12 + 27*n**2 + x + 8*n = 0.\nAnswer: -2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96 - 12. Suppose 0 = 4*u - 6*z + 10*z - i, 0 = 4*u + z - 93. Solve -4*t + 4*j - u = 0, -2*j + j = 4*t + 19 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**3 - 53*k**2 + 63*k + 1015. Is 14 a factor of p(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1766\/9 + 3373\/18. Let z be -3 - 94*4\/(-74). Let r = z + 605\/296. Find the common denominator of s and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*l - w = -36, -2*l - 5*w = -36. Suppose -154*v + 129 = 88*v - 355. Let o = 9 - 4. Solve -l*z + 3*z = o, -2*n + 12 = -v*z for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 91\/168 - (-1)\/8. Let s(k) be the third derivative of 0*k + 0 + z*k**3 - 1\/12*k**4 - 2*k**2. Find the first derivative of s(g) wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2. Let w(c) = 38419806*c. Give w(m(f)).\nAnswer: -38419806*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-177.9053.\nAnswer: -35.58106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 + -444213?\nAnswer: -444132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 11 = -a - k, -3*k = -a - 17 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 150623 (b) -1.1 (c) 2 (d) 0.3 (e) -0.2 (f) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 at least 43.70595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 107031464.51.\nAnswer: -107031464.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 - a. Let s(x) = 1920*x**2 - 368*x. Let f(q) = -6*c(q) - s(q). Find the second derivative of f(m) wrt m.\nAnswer: -3876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11220 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/3*3 - -45. Let i(d) = d**2 - 17*d - 59. Let f be i(19). Let h = m + f. Is h a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*i - 5. Suppose 2*v - 19 = -3*m, -2*m - i*v + 16 = -10. Solve -3*q - m*n - 12 = 0, 0 = -5*q + 2*n - 1 + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1063*g = 1089*g - 127478. What is the thousands digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -u - 12. Calculate the remainder when (-1)\/(-2) + (-3306)\/(-76) is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 301, -2, -1 in decreasing order.\nAnswer: 301, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119375 and 105241.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**9*o*o**2*o*o)**45*(o*o\/(o\/o**1)*o)\/o**4*o**(7\/5)\/o**(-6) assuming o is positive.\nAnswer: o**(3182\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*t + 82 = 1534. Let k(g) = 4 - 4*g + 0 + 7*g. Give k(t).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10185)\/1155 - (-1 + (-26)\/(-22)). Let i(k) = 4*k**2 + 17*k + 3. Let u(l) = -l**2 - 4*l - 1. Determine j*u(o) - 2*i(o).\nAnswer: o**2 + 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u + 35. Give k(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -15*z + 2. Let j be n(-1). Let r = -338 - -491. What is the highest common divisor of j and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -200?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 9160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1068 + -65150\/61. Let g = t + 128\/183. Let p = -1.2 + 0.2. Which is the nearest to g? (a) p (b) -3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(153))**2 + (-6*-1*sqrt(153))**2 - (0 + (sqrt(153)*1)**2 + -4)*5.\nAnswer: 7211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((1 - 12\/9)\/47). Let a = -66 - h. Let w = a + -72. Solve w*r - 7*s - 19 = -3*s, 0 = -s - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 93172692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43569 is divided by 62.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 5*t**5 + 45*t**4 - 685*t**3 + 2115*t**2 - 2380*t + 900 = 0.\nAnswer: -18, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 3*m + 45 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*i + 22*i + 0*i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r - 61*r**2 - 1 + 0*r + 5 + 62*r**2 + 2*r**3. Let i(k) = -3*k**3 - 2*k**2 + 4*k - 7. Determine -4*i(j) - 7*t(j).\nAnswer: -2*j**3 + j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -13. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3828*c + 3*c**3 - 7657*c + 261 + 3829*c - 261.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 r when two letters picked without replacement from vwrw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8, -39 in increasing order.\nAnswer: -39, -8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -11121210200100?\nAnswer: 11121210200100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, -40745, 5, -43 in decreasing order.\nAnswer: 5, 3, 2, -43, -40745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + 8 + (-4 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22917?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31811*0.2.\nAnswer: -6362.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 130\/22507?\nAnswer: 130\/22507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 2401 = 483. Suppose 2*v = 4*z + 7*v - 810, 3*v = -z + p. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5793*t - 266*t + 2092*t - 2963*t + 8386*t to the form g*t + u and give g.\nAnswer: 13042","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*v - 1 + 9*v + 13*v - 5*v to y + l*v and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d = -61 + 130 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 200*n - 24 - 407*n + 241*n.\nAnswer: 34*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -667916 plus 47461870?\nAnswer: 46793954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-8))\/(63\/(-36) + 1). What is the third smallest value in -2\/15, j, -2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -297011176\nAnswer: 1\/297011176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -14026*p. Let k(z) = -2163*z**2. Give r(k(l)).\nAnswer: 30338238*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -18*i + 1484. Calculate the remainder when j(43) is divided by 105.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -4*w + w**2 - 3\/4*w**4 + 1\/20*w**5 + 0 + 0*w**3. Let g be v(9). What is the highest common factor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 262 - -318?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mo when two letters picked without replacement from {o: 7, m: 12}?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 106*h**3 - 58*h**3 - 4*h**2 - 14*h + 37 - 47*h**3. Is s(16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 114\/4*220\/30. Round c to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n - 33 = 71 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 5:56 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 173 + -755. Is 0 - x - (-6 + (5 - 4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**6\/120 + a**5\/10 - 5*a**4\/12 + 3*a**3\/2 + 80*a**2 + 2*a. Let y be m(4). Solve j = 3 - y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 j, and 1 g when four letters picked without replacement from {q: 4, m: 3, g: 1, j: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2599 and 1356?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 6*i. Suppose 5*h - 9*h + 72 = i. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n + 5*n - 4*n)*(-3 + 1 + 4) + 2*n + 0*n + 0*n - 2*n + n - n - 8*n + 43*n + 5*n - 4 + 4 + 3*n as r*n + s and give r.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-54)*-12*5\/(-40)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 429 + -3001\/7. Which is the smallest value? (a) 4 (b) y (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(612) + -1)**2 - ((sqrt(612)*-1)**2 + sqrt(612) + -3).\nAnswer: -18*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 6:29 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11304?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 9 - 14 - 8 - 2*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-21) + 177\/21. Let u(z) = z**3 - 5*z**2 - 4*z + 7. Let i be u(p). Suppose 10*n - i = 5*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78437\/18378 - 10\/1021. Let n = -14705\/2 - -5547. Let l = -1757 - n. Calculate the common denominator of l and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3006 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8281.111 + 8277. Let z = h - -0.111. What is the third smallest value in 3\/4, z, -2, -15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -7. Find the third derivative of -4*x**4 + 2*x**2 - 2*x**4 + l*x**4 wrt x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -z + 147, -2*z - v + 711 = 3*z. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -79095*w**2 + 158679*w - 978 = 0. Calculate w.\nAnswer: 163\/26365, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4050433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -192 + 191.923. Let d = 0.123 - m. Which is greater: -7 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 - -12360?\nAnswer: 12345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, c: 6, q: 5, p: 5}. What is prob of picking 2 p?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 7*v - 16. Let l(c) = -8*c + 15. Let i(a) = -6*g(a) - 5*l(a). Let p be i(5). Let h(o) = o + 1. Let b be h(0). Solve b = 5*t + p for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 4:42 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p - 19. Let s be n(6). Let t be (-7)\/(-1) + (2 + -7)\/s. Which is greater: t or 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + ((-62810296)\/(-127988))\/2. Let x = v - 5496\/653. Let t = x + -236. Is t at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -502*s - 326*s = -255*s - 2292. Let r = -11 + 23. Which is the closest to 1? (a) r (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 11. Suppose z*h = -5*n + 35, 3*n - 26 = -2*h - 7. Suppose -26 = 5*b - 111. Solve 26 = -4*k + n*u, 3*u - b = 3*k + 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8171291, -8171296, -8171301, -8171306, -8171311?\nAnswer: -8171316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s + 4. Let b(i) = 7*i + 9. Let l be (1 + -2)*10\/2. Suppose -8*u - 126 = -71*u. What is l*c(x) + u*b(x)?\nAnswer: -6*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 210*h - 3*h**2 - 410*h - 38 + 198*h in the form y + w*h**2 + c*h and give y.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1778.9 + -1779. Which is the closest to y? (a) -1\/7 (b) -3\/7 (c) 0 (d) -372\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5737560 divided by -478130.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 10) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, i: 3, f: 1}. Give prob of sequence fd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.5, -5, 3, -14?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j - 23*j - 1180 = -59*j. Calculate the remainder when 219 is divided by j.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 5 = 5*s - 11, -7*b - 4*s = -5*b - 0*b - 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 72, 4, -9222.\nAnswer: -9222, -2, 3, 4, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*y + 26 = 0, -i + 2*y - 42 = -5*i. Suppose 0 = -5*w + 6*w. Suppose -i = -w*b - 2*b. Solve 0 = u + b - 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3280858 divided by -46.\nAnswer: -71323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(77))\/((sqrt(21) - 2*sqrt(21))\/sqrt(3)).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p. Let m(w) = -w**3 - 2*w**2 + 3*w - 1. Let c be m(-3). Let q be f(c). Sort -1, q, 1 in increasing order.\nAnswer: -1, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-5 + 2*(sqrt(343) + 1 + sqrt(343)))**2*-1 + 0)*-3.\nAnswer: -504*sqrt(7) + 16503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/1300 and -5\/12.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 1005.\nAnswer: 1\/1005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 13 - 18 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o + 22. Let i be x(4). Factor -j**2 - 10 - j**2 + 5*j + i*j**2 + j**2.\nAnswer: 5*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 741 divided by -13?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63*20\/360)\/((588\/2832)\/7)?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6437081?\nAnswer: 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 19*r**2 - 259*r + 94. What is d(28)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -4*x + 4*a + 10, 5*x + 3*a = 13. Suppose 5*r + 4*o + 5 = -o, -2*r - 17 = x*o. Put r, 0.2, -4\/5 in decreasing order.\nAnswer: r, 0.2, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 n, and 1 o when three letters picked without replacement from {u: 1, q: 1, h: 4, o: 1, n: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10\/3 (b) 5 (c) 2786\/3 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -5*z**4\/8 - 1091*z**2. Let d(u) = 41*u**2. Calculate d(l(n)).\nAnswer: 9225*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 + 27*h - 4. Is j(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -406*h**3*o - 15*h**3 - h + 3*o + 1 with respect to o.\nAnswer: -406*h**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, g: 3}. Give prob of sequence ee.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14456930*s**3 - 15*s**2 + 10493*s - 5162 wrt s.\nAnswer: -86741580*s - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -29 (b) 0.3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/62590 and -27\/2830.\nAnswer: 17712970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 449035 and 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*u - 4*u = -28, -l = 3*u - 12. Let a(k) = -k - 1. Let m be a(-3). Let r = l - m. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1263979303?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/4 + 183*t\/4 - 1287\/2.\nAnswer: -3*(t - 39)*(t - 22)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128)\/sqrt(4)*1 + -3.\nAnswer: -3 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*o = -2*x + 605, -x + 121 = -3*o. Let r = x - -63. Suppose p = -4*k + 717, k + 0*k = -5*p + r. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*p**6 - 1184004*p**3 + 5*p**2 + 70773*p + 22?\nAnswer: -2520*p**3 - 7104024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5569224731 to the nearest integer?\nAnswer: 1773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/21 of a week?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**4 + 475*f**3 - 32710*f**2 + 93720*f = 0. What is f?\nAnswer: -142, 0, 3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express x**4 + 25*x**2 + 64*x**3 - 13*x**2 - 11*x**2 + 2*x in the form i*x**2 + w + a*x**4 + k*x + n*x**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 minus 1.6009477?\nAnswer: -0.3009477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, -2, -0.2, 2 in increasing order.\nAnswer: -2, -0.2, -2\/17, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2232*p**2 - 4462*p**2 + 2226*p**2.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**3\/11 + 3730*q**2\/11 + 125984*q - 344773504\/11 = 0?\nAnswer: -1016, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 50627 (base 11) to base 4\nAnswer: 102003220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2403 - 2403.02. What is the closest to 2 in -1, p, 6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -153 or 686?\nAnswer: 686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.2 - -3.8. Let b = -16.89 + p. What is the second smallest value in 3, b, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*g. Solve g = 6*k - k - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(143) + sqrt(143)*-2) + (1*sqrt(143) + sqrt(143))*6)*-1)\/((-1*sqrt(539)*-4 + sqrt(539) - sqrt(539))*6).\nAnswer: -5*sqrt(13)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2 + 2*k**2 + k - k**2 - 1. Let l = 132 - 131. Let p(j) = 2*j**3 + 2*j**2 + 3*j + 2. Give l*p(c) - 3*h(c).\nAnswer: 2*c**3 - c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((4*(sqrt(6655)*-2)\/sqrt(11))**2 + 5).\nAnswer: -193625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/((-2)\/1))\/((-10)\/10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c - 20. Let m(r) = -r - 10. Let q(z) = -2*j(z) + 5*m(z). Suppose 2*b = -3*b + 4*k + 65, 0 = 2*k. Suppose 0 = -4*h - b - 7. What is q(h)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71340\/(-6970)*85\/10?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 10:35 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 802.3909 grams in kilograms?\nAnswer: 0.8023909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-142 + 0)\/((-112)\/(-168)). Let j = 215 + r. Find z such that -2\/9*z + 0 - 1\/9*z**j = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.07, 24, 37?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5028 - -0.1028. Put -67, -2, j in ascending order.\nAnswer: -67, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 10*h**2 - 8*h + 49. Give c(10).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -111*r**2 - 24*r + 1 wrt r?\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + 0*g - g - 2 + 2*g + 2 + 3*g + 2*g - 3*g + (4 + 2*g - 4)*(-2 - 1 + 5) + 1 - 21*g + 2 - 2 - 4*g + 4*g - g.\nAnswer: -16*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-8) + (-100)\/(-96). Let l = 47.1 + -51. Let y = -4 - l. Are y and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43)\/(-129) + (-5)\/(1260\/66).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155, -156, -157, -158?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 592662?\nAnswer: 2, 3, 7, 103, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**2\/2 - 835*l - 697225\/2 = 0.\nAnswer: -835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 11 = -23. Let b(p) = -11*p**3 + 30*p**w + p**3 - 5*p**2. Let d(q) = -q**3 + q**2. Let r(l) = -b(l) - 15*d(l). Find f, given that r(f) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (75\/22)\/5. Let b = 1763\/682 + v. Is -1 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/6)\/((-4)\/(-234)). Suppose 82 + y = n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 185*p**4 - p**3 - 39*p + 2 wrt p?\nAnswer: 2220*p**2 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 160776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5\/4)\/p**6)\/(p\/(p**1*p))**(-48) assuming p is positive.\nAnswer: p**(-221\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -0.796\nAnswer: -5.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 m when three letters picked without replacement from ccpccmccmcpcccc?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-924)\/110)\/21*(-110)\/264.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -62, -63, -58, -47, -30, -7, 22?\n\"Answer: 3*h**2 - 10*h - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.099 + 5.099. Let t be 8\/(-4) + 1 + -5. Let b = 4 + t. Sort g, 0.5, b in decreasing order.\nAnswer: g, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by 393004.\nAnswer: -5\/98251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 10:12 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + -1*((sqrt(1573) - (-1 + sqrt(1573) + sqrt(1573) + sqrt(1573))) + sqrt(1573) + 0 + (sqrt(1573) + 2)*1))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/5 + 8449*i**3\/5 + 101484*i**2\/5 + 406064*i\/5 + 541504\/5.\nAnswer: -(i - 8461)*(i + 4)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 2*y + 1. Let k be d(2). Let w(r) = r**3 - 15*r**2 + 14. What is the smallest common multiple of -1 - (k - 0) - -16 and w(15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 5975.\nAnswer: 3\/5975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 175\/63 - (-2)\/9. Suppose k = s*k - 8. Put 5, k, -4 in decreasing order.\nAnswer: 5, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 628b?\nAnswer: -6293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 22*w - 16. Let b be a(21). Suppose 3 = -3*y + 3*r + 21, 5*y - 2 = -2*r. Which is smaller: b or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2624 (base 7) to base 15.\nAnswer: -468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*g = -49*g + 25. Suppose g*r + 0*r - 15 = 0. What is the greatest common factor of 21 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4432.8 - -4432. Which is the second biggest value? (a) -3 (b) 2 (c) 4 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.45*0.041\nAnswer: -0.46945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 11 + 3*o**2 - 2*o - 5*o. What is the remainder when w(9) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1849080, 3698148, 5547216?\nAnswer: 7396284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 7*a**2. Let j(m) be the first derivative of m**2\/2 + 22. Give j(s(g)).\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.43 - -2294483371.\nAnswer: 2294483362.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*x + 11*x + 8400 = 0. Let l be (12\/28)\/(80\/x). Let -9\/4*v**2 - 9\/2*v + l*v**3 + 6 = 0. What is v?\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2403*y - 7587 - 42526 = -8755 + 30732 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -21012120?\nAnswer: -21012120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 857984778 a multiple of 1743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.25 in 0.4, -64, -0.5, 0.5, 20\/13?\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/19285 and 28\/46835?\nAnswer: 327845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 446961 and 26841?\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -17. Suppose z*u - 7*u = 92. Calculate the remainder when u is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxrx when four letters picked without replacement from xrkx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1743, 6970, 15683, 27882, 43567, 62738, 85395?\nAnswer: 111538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -114*m**2 - 1 + 1 + (-2*m - 6*m - m)*(4*m - m - 2*m) + 5*m - 5*m - 3*m**2 to the form r*m**2 + g + x*m and give r.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*f = -114*f + 99540. What are the prime factors of f?\nAnswer: 2, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3479*y**4 + 41*y**2 + 11*y - 4413 wrt y?\nAnswer: 13916*y**3 + 82*y + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-26)\/4 + 4)*56\/(-10). Let m(o) = o**2 - 4*o - 137. Let g be m(p). Solve 0*l + l = -g*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 40, 56, 90, 148, 236, 360, 526?\nAnswer: 740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502613979 is divided by 606.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -141 - -163. Solve 0 = -k + 4*x - l, k + 18 = -3*k + 2*x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t + 4*t + 9 - 3*t)*(-1119 + 1119 - 56*t) to the form v + o*t**2 + n*t and give o.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 138\/(-33)*(35\/10 + -4) and 51\/410?\nAnswer: 4510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8, 129, 364, 703, 1152, 1717?\n\"Answer: m**3 + 43*m**2 + m - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of 10*s + 35\/2*s**4 - 185\/3*s**3 + 80\/3*s**6 + 80*s**5 - 67 - 5\/2*s**2. Solve q(u) = 0 for u.\nAnswer: -2, -1, -1\/4, 1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 163424687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1830797 and 518.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1731 + -2824. Let x = s - -1093.000001618. Round x to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 60, -4, -3, 3 in ascending order.\nAnswer: -4, -3, 0, 3, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(153)*-1 - sqrt(153)) + sqrt(153) + (sqrt(153) + sqrt(153)*2)*5)\/(sqrt(9) + (sqrt(54)\/sqrt(2))\/sqrt(3) + 2*2*sqrt(9)).\nAnswer: 14*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145633.\nAnswer: 145633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/2 (b) 0 (c) -102.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -395?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2010 and 10230.\nAnswer: 685410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/10 - (1188\/(-30))\/11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*i + 36*i - 183*i + 51*i.\nAnswer: -51*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**4 - 8*z**3 - 26*z**3 - 2 - z + 3*z - 4*z**4 to t + c*z**3 + y*z**4 + q*z + d*z**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 64865 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(560))\/(sqrt(175)*-1).\nAnswer: 4*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17332.\nAnswer: 2, 7, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i - 3*i + 2*i)*(3*i**3 + 2*i**3 + 0*i**3) - 5*i**2 - i**2 + i**4 + 4*i**2 as c*i**3 + t*i + j + n*i**4 + b*i**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3230?\nAnswer: 2, 5, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11166*q - 10902*q + 213 = 4965 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 22967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 7:26 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -8*u - 5. Let i be x(-2). Let n(q) = 117*q. Let d be n(i). Let a = d + -400. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + (-110)\/(-15))*(-1 + -39)*4\/48?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180748, 180753, 180756, 180757, 180756?\nAnswer: 180753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1\/8, -0.3, 10\/3, 2\/5?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2283, 5352, 10079, 17292, 27819, 42488?\n\"Answer: 138*h**3 + h**2 + 2100*h + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 2:43 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 q, and 1 x when three letters picked without replacement from {t: 1, q: 1, r: 1, m: 1, x: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 657 + 103. What are the prime factors of y?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 74*y - 73*y - y**2 - 10*y**4 + y**3 - 2*y**3 as n + b*y**2 + s*y**4 + a*y + i*y**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2237994 divided by 99\nAnswer: 22606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (263 + 102 + 77)*(-o + 2*o - 2 + o).\nAnswer: 884*o - 884","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.8054 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12887, 15128, 17369, 19610, 21851?\nAnswer: 24092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1124 = 5*n + g - 0*g, -4*n + 900 = g. Let d = -182 + n. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-570 + 569)\/((-75)\/2).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1\/8, 3, -4\/23 in ascending order.\nAnswer: -0.2, -4\/23, -1\/8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -4) + -537 + 522?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 152967371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s + 25. Let u be w(8). Let l be 1362\/1092 - 4\/14 - u. Let q = 50 - 49. Is q at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1083337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/3))**(-11))**(3\/5)*((d**(-3)*d)\/(d\/(d*d**(-1\/4))))\/(((d**(-5)*d)\/d)\/d*d**(3\/5)) assuming d is positive.\nAnswer: d**(151\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 - 12112101220020?\nAnswer: -12112101220200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 5. Let n be x(5). Suppose 0 + n = -2*h. Let d = -2.17 - -1.17. Which is the smallest value? (a) h (b) 2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*g + g, 4*m = -g + 5. Let f(a) = a**3 - 6*a**2 - 18*a + 16. Let l be f(8). Let o be l*4\/36 + (-2)\/150. Which is bigger: m or o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*w**3*z**4 + 8*w**3*z**2 + 2*w**2*z + 5*w*z**2 - 425*w*z + 38872*z**5 wrt z?\nAnswer: 72*w**3*z + 2332320*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 75*r**3 - 26460*r**2 - 6829713*r - 345991566 = 0. What is r?\nAnswer: -463\/5, 538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56 - -55. Are v and -1\/31 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - (-104)\/(-16)) + 0. Let t = 4 + q. Factor -t*p**2 - 1\/2*p + 0.\nAnswer: -p*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25780 and 1060.\nAnswer: 1366340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v + 44 = -5*b, 6 = -3*v. Let s be (-5 - -6)*-2*b\/4. Solve 8*m - 3*m + s*a = -20, 5*m = -a - 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(891)*3 - (-4 + sqrt(891) + sqrt(891) + (sqrt(891) + 0)**2)) + -2*sqrt(891) + -4 + sqrt(891) + 0 + 0 + 2.\nAnswer: -889 + 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 3:59 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*p + 51*p + 13671. What is the units digit of (p\/(-14))\/(4\/(48\/(-9)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*g + 5*g. Suppose 4*l = 3*x - 40794, 5*l - g*x + 82325 = 31335. What is l rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of 20*d**2 + 5\/4*d**4 - 17\/60*d**5 + 0*d**3 + 0*d + 0. What is the second derivative of r(k) wrt k?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 8) to base 14\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2290 and 8818332?\nAnswer: 44091660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - v**3 - 2*v**3 - 3*v**3)*(650*v + 278 - 278).\nAnswer: -3900*v**4 + 650*v","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5 = 7. Let d(i) = i**3 + 3*i**2 + 2*i. Let p be d(-2). Suppose n*z + 6*g - 3*g - 9 = p, -4*z - 5*g + 7 = 0. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 54832890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/323118 and 44\/5481?\nAnswer: 6785478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.29 and 1788.30916.\nAnswer: 1788.59916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32.99999935 + 33. What is t rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 0) + -8 - -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 r, and 1 k when four letters picked without replacement from {l: 1, r: 3, b: 4, s: 1, k: 5}?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 63*x**2 + 15*x - 18. Let g be y(3). What is the highest common divisor of 54 and g?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 2, k: 1, o: 3, w: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*p - 33 = 0. Let v = p + 14. Suppose s + 5*k = v*k, -5*s + 4*k = -56. Round s to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -63 (b) -3\/4 (c) -1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 96, 165, 364, 759, 1416, 2401, 3780?\n\"Answer: 11*a**3 - a**2 - 5*a + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4335)\/(-3) + 8\/(-24)*-12. Calculate the greatest common divisor of h and 126.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of x**5\/30 - 5*x**4\/6 + 25*x**3\/3 - 3*x**2\/2 + 10. Let w(g) be the second derivative of n(g). Find d such that w(d) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 6 - 4. Suppose -r + 2 = 3*u. Sort 2, 4, u in increasing order.\nAnswer: u, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 430894 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1645935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*t - 15 = w, 2*t = -w - 2. Let g be 6 + w + 2 + -2. Let b be 1 - 2\/(g\/(-131)). What is the greatest common factor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*t = -4. Suppose -t*l = -l. Solve -4*k - 3*y - 11 = l, -k - 5*y + 6 = -4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 9:31 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of m**3 - 112*m + 35 wrt m?\nAnswer: 3*m**2 - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-76)\/(-18) + (-12)\/54. Solve -2*h + 3 = 4*c - 19, 3*c - 11 = z*h for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 118*j**2 - 84*j.\nAnswer: 2*j*(59*j - 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 59809962401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371*b - 49*b - 10594 = 69*b + 16790 for b.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5993676 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -145 and -0.26.\nAnswer: 37.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33*i**4\/8 - 573*i**3\/8 + 1155*i**2\/4.\nAnswer: 3*i**2*(i - 11)*(11*i - 70)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3778394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28119 divided by -28119.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -13, -5, 3, 11?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 912*n**2 - 48*n - 8. Let d(z) = -304*z**2 + 18*z + 3. Let w(i) = 8*d(i) + 3*v(i). Let r(c) = c. What is w(r(y))?\nAnswer: 304*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = b - 0. Let y(k) be the third derivative of -3*k**6\/20 - k**5\/15 - k**4\/6 - k**3\/2 + 2*k**2. Is y(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 891\nAnswer: -1782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b + 4. Suppose -p = 2 - 5. Let l be (2\/(-6))\/(p\/(-36)). Let s be h(l). Solve s = -4*m + 27 - 11 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b*b*b**(-7)*b*b)\/b*b)*b**(-2\/5))\/((b\/b**(1\/11))\/b**(2\/17)))\/((b**(2\/3))**(1\/5)*b**(-3)*b*b**6*b) assuming b is positive.\nAnswer: b**(-6521\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*f - 3*r, -21 = 2*f - 5*r - 5. What is the lowest common multiple of 2*24*(-14)\/(-42) and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 15543 + 667 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7057928*d*j*s**2 - 2*d*j - 1486*d*s**2 + 4217*d*s - j*s**2 - 8*s with respect to j.\nAnswer: 7057928*d*s**2 - 2*d - s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 6*g + 1484 = 0. Suppose 4*d - 3*v - v - g = 0, -5*d + 289 = v. What is the remainder when d is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 14*b + 1 + 29 - 6*b + 22*b. Let q(y) = 5*y + 5. Suppose 147 = 4*k + 47. Let n(g) = k*q(g) - 4*l(g). Differentiate n(h) wrt h.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-5))\/((-4)\/(-14)*(-112)\/640)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -4*g - 2, 0 = 2*i - 2 - 4. Let n be g - 6\/9*-69. Suppose -7*m + n = -3*m. What is the remainder when 20 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -34. Is 26*(-5)\/m*-33 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 + 31595*n + 1857145. What is r(-59)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 2. Suppose -2*c - l = -c. Suppose 25*a = 13*a - 60. Sort a, 10, c in ascending order.\nAnswer: a, c, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 4*l**2 - 3*l + 5. Let u be 2\/(-5) - 72\/20. Let d be f(u). Suppose 127 = 19*o - 519. Calculate the highest common factor of o and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 3*w + 2 = -2*j, 0 = j - 3*w + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1905, 4559, 7961, 12105, 16985?\n\"Answer: -l**3 + 380*l**2 + 1521*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-400)\/(-22) - 20\/110 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.42587 millennia in centuries?\nAnswer: 694.2587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315 is divided by 64?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express j - 3 + 14 + 40 as w + u*j and give w.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 151968 and 224?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 3*y - 7. Let r be s(5). Suppose 4*g = -o - 4*o - 8, -3*g = -r*o + 6. Suppose o*p = -3*p + 27. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 27, 26, 23, 18, 11, 2, -9?\n\"Answer: -c**2 + 2*c + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 117 + 941. Does 46 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -7*b - 2. Let i(q) = 3*q + 1. Suppose 4*z - 4 = -24. Let f(r) = z*i(r) - 2*w(r). Let y be f(-3). Solve -7 = -y*s + 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1421996 is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 3:14 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41436 and 6906.\nAnswer: 41436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -17 + -129 + 2 - -38?\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 1 - 16)*(173*v**2 - 41*v**2 + 73*v**2).\nAnswer: -6355*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 8*s + 1. Let j be b(-9). Let p = 19 - j. Solve 2*i = 2*n - 0*n + 6, 3*i + 3*n + p = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/41370 and -47\/943236.\nAnswer: 4716180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 16 = 8*f. Is (12\/f)\/(4\/(-1632)*4) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1130213 is divided by 376734?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -14*i**2 + 6*i + 1. Let w(g) = 42*g**2 - 17*g - 3. Let q(z) = -17*d(z) - 6*w(z). Calculate q(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -7. Let q = 81 + -321\/4. Let c be (-14)\/4 - 4\/8. Put p, q, c in descending order.\nAnswer: p, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*v + 21, 0 = -v - 113 + 110. Which is the third smallest value? (a) f (b) -21.5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110022 (base 3) in base 5?\nAnswer: 2312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5807\/3 + 1937. Solve 1 + 1\/3*h**2 + l*h = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2656425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3747*z + 148 - 148 - 385*z.\nAnswer: 3362*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 6*k - 18. Let n(v) = 3*v**2 + 12*v + 37. Let d(h) = 5*m(h) + 2*n(h). What are the prime factors of d(13)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 5:13 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556 is divided by 82?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9812 + 9816. Suppose 3*k - 27 = 3. Solve 0 = -l*s - 2*n - 12, -2*n - k = 2*s - 0*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + x**2 + x + 9. Let b(t) = -t + 6. Let u be b(6). What is the remainder when o(u) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.676159 rounded to 0 decimal places?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10439, 20090, 29741, 39392, 49043?\nAnswer: 58694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.85 - -2.75. Let v = y + -15.6. Which is the smallest value? (a) v (b) 0.3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0*k + 5106 = -4*k, -2046 = -2*p - 2*k. Let t = p + -617. Calculate the greatest common divisor of 27 and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107233?\nAnswer: 7, 15319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 - -0.03. Let u = -37 + 34. Which is the third smallest value? (a) -0.1 (b) 0 (c) u (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (1 - -1) + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -3, 3\/8387 in descending order.\nAnswer: 3\/8387, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**4 + 272214*r**3 + 6180208383*r**2 + 234553193100*r + 2227322167500 = 0 for r.\nAnswer: -45350, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 4*q + 2. Let p be m(4). Suppose -8 = 2*y - 33*j + 29*j, 3*j - 12 = 0. Solve y*b = -p - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 0 + 1)*(0*z - z - 3*z)*(3 - 3 - 1)*(-3*z - 2*z + 2*z) in the form m*z**2 + g*z + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t - 11 - 18 - 9. Let s be l(-38). Sort s, 5, 23 in ascending order.\nAnswer: s, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -71283 - -31?\nAnswer: -71252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lm when two letters picked without replacement from mtslbmtltlc?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 108*i - 1830. Calculate d(17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 917184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**3 + 0*a**3 + a**3 + (2*a**2 + a**2 + 0*a**2)*(-3*a + a + 4*a) - 75*a**3 - 62*a**3 - 10*a**3 + 2*a**3 + 0*a**2 + 0*a**2.\nAnswer: -136*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -18915390 divided by -1755?\nAnswer: 10778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 94*j**2 + 253*j - 2164. Let d be r(9). Do d and 7727 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = t - 4*w, 0*w + 22 = -5*t + 4*w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -1614\/41 = -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 12:39 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -813\/885194 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*z - z**2 - 14*z + 0*z**2.\nAnswer: -z*(z - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.7 (b) 1796\/7 (c) -1\/4 (d) 2\/11 (e) -1\/1098\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + 0)\/((-1)\/(-4666)). Let w = o - 354585\/38. Find the common denominator of (-203)\/(-6) + ((-17)\/85)\/(5\/250) and w.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 3*g + 2352, -12*g + 20 = -7*g. Suppose 3*h - 1989 = 3*l, l - 2*h + 961 = 296. Let d = c + l. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 230 + 2310. Calculate the greatest common divisor of 40 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -668 - -669. Let w(g) = g + 1. Let x(d) = -5*d - 7. What is u*x(a) + 6*w(a)?\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4)\/((-87)\/(-1740)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -441 - -441. What is the nearest to u in -2, -51\/2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -21355.\nAnswer: -21355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 978.9029 millilitres in litres?\nAnswer: 0.9789029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 204 = -2*u, -3128*u - 251 = -3131*u + h. Let 8*m + u + 1\/5*m**2 = 0. What is m?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3469922 = 3*q - 2*k - 1251299, 0 = q - 4*k - 1573767. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 + 202. What is the greatest common divisor of 9 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -91\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 951*x - 145. Is f(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -776 + -29c4c?\nAnswer: -2a5c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -2 (c) 5955\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qk when two letters picked without replacement from {k: 8, e: 4, q: 2}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 336 = -3*k + 4*u, 0 = -2*u. Let w be 44\/6*(-7)\/(k\/(-24)). Let s(n) = -2*n - 11. Let i(d) = d + 6. Determine w*i(b) - 6*s(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12*-8*6\/(-9) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4765 by -5.\nAnswer: -953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.2 + -1.8. Let g = 23360.9995 + -23355. Let n = u + g. What is n rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) 4\/7 (b) 2\/21 (c) 14 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s**2 - 7*s + 1. Let f(j) = j - 5. Let b be f(8). Let m be y(b). Suppose -2*u + 9 + 1 = 0. Solve u*d - 10 = -m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 702\/(-364)*196\/(-882).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 8:49 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26610 - -26610. Is -3\/22295 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2, -117, 4, 2\/51, -1?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**5\/4 + t**3\/2 - 5*t**2\/2 - 20*t. Let q be n(2). Suppose p + 0 = q. Calculate the highest common factor of 451 and p.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.13 times 1.5\nAnswer: 1.695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 8:44 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 132 - 122. Let t be (-1 + 4)\/(q\/30). Suppose -1107 = -t*j - 126. Does 18 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/(q\/(q*q*q\/((q\/(q\/(q**(-1\/2)\/q)))\/q)*q)))**(-41))**(-8)\/(q**7*(q*q**(-5))\/q*q)**4 assuming q is positive.\nAnswer: q**2776","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2398.\nAnswer: 2, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7172, -1, -0.1, 2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 47*y - 958 + 535 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18338 + 5*j - 18367 - 3*j.\nAnswer: 2*j - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -368 by 21.\nAnswer: -368\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 + (-15 + (9 - 12 - -11) - -11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18675?\nAnswer: 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**3 + 333*s**2 + 324*s + 267. Calculate h(-110).\nAnswer: 927","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 12 = -i, -k + 4*k - 7 = -i. Let p = i - -22. List the prime factors of 3\/6*p - -3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -116, -5, -2, 0, -1 in descending order.\nAnswer: 2, 0, -1, -2, -5, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11636136*j**2*q**4 + 3*j**2*q - 133*j**2 - 89*j wrt q?\nAnswer: -139633632*j**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9482, -9319, -9038, -8633, -8098, -7427, -6614, -5653?\nAnswer: -4538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + (-9)\/((-27)\/(-6)). Suppose 148 = k*i - 3*z, 2*i = -5*z - 33 + 86. Calculate the remainder when 74 is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*(sqrt(2448)*-1*-5 + sqrt(2448) + 1 + (sqrt(2448) + 4)**2).\nAnswer: -19720 - 1344*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 0.3, -87, 18.2, 3\/4, -2?\nAnswer: 18.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1423 + 2127. Suppose y = 3*q - 1. What are the prime factors of q?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2173.99998315 - -2174. What is h rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*i - 10*i + 15*i + 13 + 182 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1275 and 8.\nAnswer: 10200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/(-150))\/(1\/5). Suppose -4*h + 0*h = 0. Which is greater: i or h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -221?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 4*o = -14 + 36, -21 = 2*s + 5*o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-2 - (2 - -2)). Let c be (4\/h)\/(2\/3). Let b be 74\/(44997\/45000 + c). Round b to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11489*j - 11473*j = 32. Solve -r = -3*t + 6, 7 = -j*t - r + 6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 4. Suppose -5*k + 47 - 7 = 0. Let x be r(k). Let g = 2.6 - 3. Put -3, g, x in ascending order.\nAnswer: -3, g, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17.76499*14.\nAnswer: 248.70986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, 5, 0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 123 - 1140?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 66452.04 rounded to the nearest one thousand?\nAnswer: 66000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 175\/3 - 59. Let o = -311.1 - -311. What is the closest to o in -0.1, s, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21976 + 21211. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/13? (a) -1.2 (b) -29 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 4 - 2 - 11*c + c**2. Let f be i(10). Let j be ((-2)\/(-3))\/(8\/36). Sort j, f, -2.\nAnswer: -2, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 3*p, -4*p + 0 = 3*c - 1. Put 3, 6, 5, c in increasing order.\nAnswer: c, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401*b - 25 = -408*b + 36 + 254 for b.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3087 + -1768. Is a a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 822517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, -2, -5\/6, -3, 4\/7, -1\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llh when three letters picked without replacement from hhlhhhlhhh.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152911?\nAnswer: 11, 13901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 2*w**3\/3 + 7*w**2\/2 + 11*w - 15. Is 12 a factor of c(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -367 + 349. What is the hundreds digit of ((-776)\/a)\/(13\/117)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -322136 + 133?\nAnswer: -322003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 12 = 2. Suppose -w + 3 = 2*f, w + 13 = h*f - 0*w. Solve -36 = 4*b - f*n, -3*b + 4*n - 26 = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + -110032?\nAnswer: -110013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j. Let p(d) be the first derivative of -d**2 - 10. Determine p(b(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3484 - -108849.7?\nAnswer: 105365.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 55 + -44. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -543*h - 14. Let d(c) = -197*c - 5. Let q(b) = 8*d(b) - 3*u(b). Suppose 5*r - 10 = 3*l, l = 3*r - 11 + 1. List the prime factors of q(r).\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4102 - 16*d - 4102.\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2003652040 a multiple of 520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 138*g**4 - 24*g**3 + g**2 - 12*g + 34.\nAnswer: 3312*g - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2047310?\nAnswer: 2, 5, 17, 12043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 0*n**2 + 1\/3*n**6 + 0*n**4 - 24\/5*n**5 + 0*n - 65\/3*n**3 - 35. What is the third derivative of o(q) wrt q?\nAnswer: 120*q**2 - 576*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13\/3? (a) -5 (b) 0 (c) 1\/3 (d) -6.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -33, 6862, 7, 2\/9, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -41311674575830 plus -1?\nAnswer: -41311674575831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -18. Let m = -9 + 8.4. Let q = -0.1 + 5.1. Sort q, m, j in decreasing order.\nAnswer: q, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + s = 9, 2*s + 18 = h + 6. Let j = h + 0. Calculate the highest common divisor of 39 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 2\/23, 1\/8, -4\/3, -0.2, 1\/5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 79 and 2456742?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -245 - -346. Suppose v + k = 104. Solve 0 = 3*x - 2*c, 5*c - v*c = 5*x - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 46*h + 2. Calculate y(-1).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 11 - 5 = 0. Let z(n) = 6 + n**2 - 5 + 4. Let l(p) = 1. Let v(x) = q*z(x) - 5*l(x). Factor v(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**16)**(2\/81)*z**(-27)\/z*z\/z**(-27) assuming z is positive.\nAnswer: z**(32\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/4)*y*y)\/((y**(2\/3)*y)\/y)*(y**(-2\/27)\/y)\/y**(2\/11)*((y\/(y\/(y\/(y**(-2)*y*y))))**(6\/7))**31 assuming y is positive.\nAnswer: y**(219533\/8316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3169, -6310, -9449, -12586, -15721, -18854?\nAnswer: -21985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(-165) - (-21)\/(-198)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 3*y - 1 + 17, 0 = y - 4*h - 23 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/(-3) + (-2)\/(-6). Suppose a - 24 = 4*o + 1, 0 = 5*a - o - 30. Suppose -5*z + 43 = -r*m - 73, -a*m - 67 = -3*z. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 860597.7 litres to millilitres.\nAnswer: 860597700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6*z = 4*p, 0 = 4*p + 16. Let d(r) be the third derivative of 0*r**3 - 1\/12*r**z - 2*r**2 + 0 + 0*r. Let l(k) = 2*k**2. Give l(d(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -4*w**5 + 228*w**4 + 472*w**3 + 8*w**2 - 468*w - 236 = 0.\nAnswer: -1, 1, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1160 is divided by 167.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31418 divided by -230.\nAnswer: 683\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245*y - 240*y = 3*r + 16, 4*r - 12 = 0. Let z(p) = p**2 - p - 4. Let x be z(3). Put -5, -7, x, y in decreasing order.\nAnswer: y, x, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6827202 and 2275734?\nAnswer: 6827202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-150)*(-1105)\/(-26)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1701 - 1701 - 664361*w**2.\nAnswer: -664361*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 4, -47, 1\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 84, 96, 124, 174, 252, 364, 516?\nAnswer: 714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*f + 113*f = 49*f + 4046 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1970*j - 888*j - 45*j as s*j + v and give s.\nAnswer: -2903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 220*b - 653*b + 215*b + 3 + 220*b + 16*b**3 + 10*b**2 to x*b**2 + g + c*b**3 + v*b and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -5*y + 15, -3 = -3*i + 3. Suppose 5*k + 2*u + 2 = 20, -4*u = y*k - 16. Let c(p) = 29*p - 12. What is the hundreds digit of c(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wexwi. What is prob of picking 2 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/37023 or 0?\nAnswer: -13\/37023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 24652557 (base 8) to base 12\nAnswer: 19b4613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270451986?\nAnswer: 2, 3, 7, 23, 149, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2)**(-43\/3)*q*q*(q*q**(3\/4)*q)\/q*q*q*q**(-35)*q)**(-2\/79) assuming q is positive.\nAnswer: q**(683\/474)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -0.5 (c) 18 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + d + 1, 3*z + 4*d = 7*z + 20. Suppose 0 = a + 2*a - 27. Let w = z + a. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -1 - m - 4*m - m**2 - 1 - 4. Let o be x(-3). Suppose 4*n + 2*y - 200 = o, 2*n - 7*y + 2*y = 88. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 243 + -39. Calculate the greatest common divisor of 68 and m.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 9*6\/59. Let y = h + -44\/177. Which is the nearest to 2\/7? (a) y (b) 0 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(-36) + 78\/(-8). Let l be (-759)\/396 + 10\/8. Which is the closest to l? (a) -4 (b) 1\/7 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -10. Suppose -v = -5*a + 339. Suppose 1 + a = 3*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**4\/4 + 4*l**3\/3 - l**2\/2 + 4*l + 1. Let u be ((-50)\/15)\/(15\/18). Determine b(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3367211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7500\/9*1476\/10. What is w rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 times -12?\nAnswer: -2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h**2. Let l(b) = b + 8. Let x be l(-5). Let r(m) = 2*m**2 - x*m**2 + 0*m**2. Determine r(w(u)).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3030.5882888 - -0.0433\nAnswer: -3030.5449888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011000111101000 + 1011?\nAnswer: -1011000111011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s + 152. Let t be h(25). Find the first derivative of -11453*k + 11453*k - 220*k**t - 313 wrt k.\nAnswer: -440*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - w + 2 = 0, -w + 0 = -2. Suppose z = -2*m + 6*m - 28. Let k(q) = 8*q + 4 + 0 - m*q - 6. Give k(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (13 - ((10 - -2) + -14))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(288)*3 + sqrt(288) + -1)*-1)**2.\nAnswer: -192*sqrt(2) + 4612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 7 = 25. Suppose -3*i - 9 = -q*i. Suppose 2*y + 3*u - 7 = 2*u, 0 = -u + i. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1416, 2834, 4252?\nAnswer: 5670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 6587 = -5*h - i, h - 3*i = 1323. Let c = h + -883. Calculate the greatest common divisor of c and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**3 + 23*t**2 + 10*t - 12. Let d be c(-11). Let o = 8 + -13. What is the second smallest value in o, 4, d, 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3*m**2 + 561*m + 1656 = 0.\nAnswer: -184, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201*s**3 + 2021*s - 137*s**3 - 2019*s.\nAnswer: 64*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*4\/(-4)*12\/(-168)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-210)\/(-455)*(-975)\/(-45)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 5*y + 15, -27*k + 5 = -28*k + y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-194)\/1261*5\/(-15)*3\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 751944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (30 + -14 - 16) - (-1 + -6).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-41)\/h**36 assuming h is positive.\nAnswer: h**(-77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(936) - sqrt(936)*2)\/(sqrt(4)\/(-2*sqrt(2))).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -21?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.6122 - -2.2294. Let h = -0.2122 + z. Let n = h - 0.005. What is n rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 28\/(-70) - 54\/(-10). Let w(z) = 60*z**3 - z**2 - z. Let t be w(-1). Let d be t\/(-10) - (0 + 1). Does d = l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -529*t**2 + 9*t + 789. Let s(o) = -529*o**2 + 8*o + 787. Let j(r) = -6*i(r) + 7*s(r). Find the second derivative of j(c) wrt c.\nAnswer: -1058","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 89242 and -1706?\nAnswer: -152246852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-10))\/((1848\/30)\/(-22))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 279\/54 + -5 - (-1009)\/(-6). Let b = 427 + j. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9805.071 + 9800. Let g = m - -0.071. Put g, 2, 3, 1 in ascending order.\nAnswer: g, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 149*d + 14849 - 14849 + 74*d - 30*d in the form w*d + y and give w.\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 12:42 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14115 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 70 = 5*y + 68, 9*y = 21*y - 8*y + p - 4 + 9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 464 = -196*k - 4*n - 128, 3*k + n = -10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20322 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*m**4 - 64*m**3 + 2848*m**2?\nAnswer: -96*m - 384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 49 = 169. Let i(w) = w**2 + 3*w - 6. Let k be i(-6). What is the highest common factor of k and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8232*v**3 - 3 - 8240*v**3 + 3.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 9*v**2 + 1. Let z(t) = 886*t**2 + 3. Let y(m) = 3*p(m) - z(m). Let x(o) = 4*o**2. What is x(y(l))?\nAnswer: 2951524*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49250912 to the nearest integer?\nAnswer: 7018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183030?\nAnswer: 2, 3, 5, 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 412*p**4 + 341*p**4 - 17 + 17*p**3 - 754*p**4 + (29*p - 29*p + 5*p**3)*(-3*p + 2*p - p).\nAnswer: -11*p**4 + 17*p**3 - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10.17 + -10.37. Let v = -16 + 23. Which is the nearest to 0.1? (a) i (b) v (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 201619392?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 - 26*z - 102. Let g be o(21). What is the greatest common divisor of g and 598?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 3:37 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 444389.\nAnswer: -222194.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -516130 plus -6.4635?\nAnswer: -516136.4635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by (2 - (-131)\/2) + 105\/(-42).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -o + 2*m - 78, 0 = 4*o - 3*m + 244. Let c = o + 63. Solve c*v + 36 = 4*a, v + v + 3*a = 4 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59*r + 92660 - 95964 for r.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (6*2\/(-8))\/(1*3)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1830699671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14789585 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-428)\/140 - 90\/(-1575))*15\/1.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53956 a multiple of 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/(84\/16)*3. Sort w, -4, 2 in decreasing order.\nAnswer: w, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - v**2 - 3*v)*(-40*v + 27*v + 26*v).\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10563.0014282 - -10563. Round p to four dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61706 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from kkkykyykyyyyyykkyyy?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 1)\/(5 + -1). Is s bigger than 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*g - 13*g + 322 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and 17.\nAnswer: 1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28*h**2 + 11*h**2 + 5*h**2)*(-3*h**2 - 2*h**2 - 4*h**2) + 3*h**2 - 3*h**2 - h**4 in the form y + v*h + c*h**4 + t*h**3 + f*h**2 and give c.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 10*d - 47. Let a(k) be the first derivative of 0*k**2 + 0*k**d + 0*k + k**5 - 2\/3*k**3 + 1. Find the third derivative of a(f) wrt f.\nAnswer: 120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 1 + 3. Let t be 0\/(0 + c + 1). Let m(v) be the second derivative of -v**3\/6 + v**2 + v + 15. Calculate m(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -56. Suppose -3*y - 14 = -l - 0*y, 53 = 5*l + 2*y. What is the remainder when n is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {q: 2, d: 17}?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 91*r - 98*r + 57295. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 437 + -334. Which is smaller: 105 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -109 - -1 - 2 - (139 + -96 + -63)\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 6*t = -479*p + 476*p + 8, 4*p = -8 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.964 and 0.0023.\nAnswer: -0.0045172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (-6 - 2\/(-2)). Suppose -4*u = 3*g - 2*g - 6, -u + 87 = 5*g. Let j be 4\/(-6)*o\/g. Which is the biggest value? (a) -1 (b) j (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1898072 is divided by 25646?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 6*o + 2717 = 0. Suppose -2*i + 3*i - o = 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 25*a**2 + 24*a + 39. Let f be y(-24). Let m = 46 - f. Calculate the remainder when m is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 5\/20 - 350\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*v + 8*v + 4. Let s be v\/(-11) + (-180)\/(-22). Suppose 0 = s*d - 6*d. Solve d = -3*z + 7 + 8 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 1:38 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 13*g**2 - 46*g - 31. Let l be k(16). Which is bigger: 2\/17 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-321932)\/(-123) - 2 - (-2)\/3. Solve 2612 = 2*q + s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 273*y + 549. Let z be b(-2). Suppose 4*m = 2*m + 10. Let a(q) = -q - 5 - q + 3 + m + 2*q**2 - q**3. What is a(z)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 559*h + 29 - 4 - 25 - 111*h.\nAnswer: 448*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -112\/54281?\nAnswer: -112\/54281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 - 0. Suppose 3*h = -0*h - 270. Let z be (-1)\/h*-3*-9. Sort z, k, -3 in ascending order.\nAnswer: -3, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (110432\/1008 + -112)\/(21\/9 - 3)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7179332906357 - 3?\nAnswer: -7179332906360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/33?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**3 - 148692*i**2 - 443187*i + 3 wrt i?\nAnswer: 6*i - 297384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 17, 59, 123, 203, 293, 387?\n\"Answer: -g**3 + 17*g**2 - 2*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 14) to base 4\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -193, -180, -159, -130, -93, -48, 5?\n\"Answer: 4*s**2 + s - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 4*g**2 - 3*g + 1. Suppose -5 = d + 3*l + 2, 15 = -5*l. Let b be o(d). Let z(f) = 11*f**2 - 2*f - 4. Is z(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/(((-17360)\/900)\/(-124))?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z - z + 0*z + (2 + 2 - 2)*(4 - 4 + z) + 2*z + 0 + 0 - z + 0 + 0 + (-4*z + 2 - 2)*(-3 + 2 - 2) + (0 - 2 + 0)*(-2 + 2 - 2*z).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -9*o - 6. Let f be v(-1). Let d(q) = -36*q - 34*q - f + 1 - 3*q**2 + 68*q. Let x(w) = 5*w**2 + 5*w + 5. What is -5*d(r) - 2*x(r)?\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-4) + 1*5\/(-20). Let l be 6\/3 - (r - 21\/(-15)). Let o = 5 + -8. What is the closest to -2 in l, o, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 8 - 1 = 0. Let s = -1 + 4. Calculate the lowest common multiple of s + (2 + 0)\/2 and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -424\/5*t + 0 + 1\/5*t**2 = 0.\nAnswer: 0, 424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -457?\nAnswer: -458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -9149 and -9108 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4622330 (base 7) in base 16?\nAnswer: 8ce46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-1)*((8 - 0) + -3). What is the units digit of m\/(20\/(-48)*2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12226477?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*(3 + sqrt(432))**2 + -4.\nAnswer: 216*sqrt(3) + 1322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123455?\nAnswer: 5, 24691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 36990.73532 to the nearest 10.\nAnswer: 36990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26745 + -22753. Calculate the highest common divisor of x and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 5*s - 1. Let d(g) = -5*g - 2. Let j(u) = -3*u - 1. Let f(t) = d(t) - 2*j(t). Let p = -51 + 50. Give p*z(v) + 4*f(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7458 divided by 6.\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8b (base 15) in base 3?\nAnswer: 11212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nanhbcbpa. What is prob of picking 1 h and 1 p?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((0 + sqrt(72))*1 - -4*(sqrt(72) - (-1 + sqrt(72)))).\nAnswer: 1 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and -5952.\nAnswer: -65472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*i - 3550 + 822*i**2 - i + 166*i**2 - 417*i**2 wrt i?\nAnswer: 1142*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -135 + 154. Suppose 8*n - b - 21 = 0. Sort n, 1, 36 in increasing order.\nAnswer: 1, n, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 1131, -2\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(j**(-2\/7)\/j*j)\/j*j**(-4)\/j*((((j*j\/(j**9*j)*j*j)\/j*j)\/j)\/j)\/(j\/j**0)*(((j\/((j**(-1)\/j)\/j))\/j)\/(j*j*j**(-8)*j))**(-44) assuming j is positive.\nAnswer: j**(-2564\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**4 + 363380*f**3 - 6602251220*f**2.\nAnswer: -5*f**2*(f - 36338)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((3*(3*(2*sqrt(76) - sqrt(76)) + sqrt(76)))\/(sqrt(4) + sqrt(16)*1 + -1*sqrt(16)\/sqrt(4))*-1)**2.\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-523*p**2 + 2614*p - 2614*p)*(-2*p + p + 3*p)*(-3*p**2 - 3*p**2 + p**2).\nAnswer: 5230*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000025696 rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(-1 - 0)*(-22)\/1485*15. Solve 2*t - 4 = 2*w, 0 = -3*t + f*w + 2*w + 3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1 (b) 5 (c) -2 (d) 88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 69? (a) 5 (b) 6 (c) -2.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -7*l**3 - 7*l**2. Let f(o) = o**4 + 6*o**3 + 7*o**2. Let q = -40 - -46. Let p(z) = q*x(z) + 7*f(z). Find the third derivative of p(w) wrt w.\nAnswer: 168*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + s. Let g(d) = 14*d**3 + 2*d**2 - 2*d. Give g(q) + 2*r(q).\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 117740171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 45 - 5 = 0. What is the lowest common multiple of q and -1 - (-1 - 0)*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r\/r**(2\/5))\/r))\/r)**(-7\/2)*(r\/r**0)**(1\/6)*(r**(1\/3))**(-5\/3)*(r\/(r*r*r**(-1\/3)))**(4\/15) assuming r is positive.\nAnswer: r**(-59\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(304)*-3)**2 + 4*(sqrt(684) - sqrt(19))) + -2*(0 + 1 + sqrt(76) - (sqrt(76) - (-1 + (sqrt(76) - (sqrt(76) + 1 + sqrt(76))))))**2.\nAnswer: -11098 - 88*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a minute in seconds?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22579 is divided by 11282.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1006393?\nAnswer: 1006393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 t when two letters picked without replacement from {q: 2, l: 3, p: 4, s: 1, t: 6, k: 3}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 10\/9, 2\/7, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1792 + -1561. What is the highest common divisor of o and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + sqrt(120)\/(sqrt(12)\/sqrt(2)) - sqrt(180)*5)\/(6*sqrt(250)*2).\nAnswer: -13*sqrt(2)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/68)\/((-12)\/(-16)). Suppose 3*v - 5 = -r, -4*r - 10 = -14*v + 11*v. Let y = 38 - 113\/3. Which is the nearest to y? (a) 0 (b) r (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 2:06 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 72 - 48. Suppose -x + 5*a + 6 = 0, -5*x + 2*a = 4 + 12. Let r = n - x. Calculate the remainder when r is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 + 317*f**3 - f**2 - 315*f**3 - f**2.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0258489 to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.545 times -5.3?\nAnswer: 2.8885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + 6*k = 24 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100111100001110 (base 2) in base 16?\nAnswer: -cf0e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/2400 and 39\/40.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w. Let c(v) = 8167*v**2 - 17*v. Give c(k(h)).\nAnswer: 73503*h**2 + 51*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + n + 62 + 70 = 0, 3*n - 420 = -3*q. Let v be q\/36 - (-6)\/27. Suppose v*f - 260 = 4*j, -2*j + 2 = 6. Calculate the remainder when f is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 9 - 3*a + 2*a - 4. Let f = -1813 + 1822. Calculate the lowest common multiple of t(0) and f.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -602170*d**5 - 58*d**3*q + 100634*d*q - 135 wrt d?\nAnswer: -12043400*d**3 - 348*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - a + 2. Let w be c(4). Let m = w + 5. Is 19 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113824*l + 116999*l - 2 + 2.\nAnswer: 3175*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17164 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2998, -5561, -8124, -10687, -13250?\n\"Answer: -2563*p - 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 269*n + 11233. Determine h(-42).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1305 + 254222?\nAnswer: 255531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 4*a - 19. Calculate the smallest common multiple of 18 and m(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*u + 22 = 0, 2*u + 4 = u. Let j be (-3066)\/44 - r\/11. Let q = -68 - j. Which is the second biggest value? (a) 1\/6 (b) 0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2536?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -651*w**6 + 59*w**4 - 634*w**2 - w - 34?\nAnswer: -78120*w**3 + 1416*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*i - 10 = -5*j, 0 = 4*i - 8. Sort j, 2, -2 in decreasing order.\nAnswer: j, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*i - 6 = 0, 3*x + i + 16 = 3*i. Let k(q) = q + 1. Let t(c) = -2*c - 1. Calculate x*t(g) - 2*k(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-4 - 1 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 8*b**2 + 8*b + 10. Let w be i(9). Let p(n) = 23*n - 1. Is p(w) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*m**3 - 619*m**2 + 113*m**3 - 228*m**3 - 5837 + 5837.\nAnswer: m**3 - 619*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-265*k + 4046 - 4046)*(4 + 0 - 2*k + k).\nAnswer: 265*k**2 - 1060*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 263, 1, -10023.\nAnswer: -10023, 1, 263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7\/(-56) - 178714\/(-80). Let y = v - 2242. Calculate the common denominator of y and 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hkhn when four letters picked without replacement from {h: 5, n: 4, k: 5}?\nAnswer: 50\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by -2*(3\/10)\/((-816)\/270 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 4*b = -56, -3*b - 14 + 28 = a for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14351230 (base 6) in base 4?\nAnswer: 1321100202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 0.1, 6\/77?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14363.679 - -14364.27900015. Let a = v - 0.6. Round a to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/474 and -39\/158.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*p + 1105 = -48*p. Suppose 0 = 33*o - 38*o + p. Let x(k) = -85*k**3 - k**2 - k. Let j be x(-1). What is the greatest common factor of j and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 + 33. Let i be 1 + ((-17)\/m - -1). Which is bigger: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of -13*j**3\/3 + 155*j + 42. Let r(l) be the first derivative of q(l). Give r(1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-3) + (-670)\/(-15). Suppose 4*w - 53 = -5*t + 2*w, 0 = 4*t - w - r. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 0. Let n(k) = -k**3 + 2*k**2 - k + 1. Let j be n(1). Which is the nearest to j? (a) s (b) -1\/8 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + ((sqrt(88) - sqrt(88)*-1)*-5 - sqrt(88))\/(sqrt(8) + (sqrt(392) - sqrt(392)*2))).\nAnswer: -11*sqrt(11)\/2 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2551.75 + 2182. Let r = 370 + s. What is the nearest to -1\/3 in -2\/11, -0.5, r?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 4:16 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y**2 - 21. Let n(h) = 0*h**2 + 4 - h**2 - h**2 + 3*h**2. What is -2*k(t) - 11*n(t)?\nAnswer: -t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(3\/2))\/(a*a**10\/a*a))**(-10))**5 assuming a is positive.\nAnswer: a**575","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/11164 and -24\/157.\nAnswer: 1752748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**6\/120 + 2*k**5\/15 - 11*k**4\/24 - 5*k**3\/6 - 1338*k**2. Calculate p(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6185161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10231 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 8*p**2 - 2*p + 3. Let t be x(2). Suppose 0 = -2*m - 2*i + 6, -3*m + 2*i - 10 = -m. Let f = m + 3. Solve -5*y = 5*s - 40, f*y + 3*s - t = -2*s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16, -35, -72, -133, -224, -351?\n\"Answer: -n**3 - 3*n**2 - 3*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5936, -5966, -6014, -6074, -6140, -6206?\n\"Answer: p**3 - 15*p**2 + 8*p - 5930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2\/125 of a millimeter?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1356089, 2712168, 4068247, 5424326?\n\"Answer: 1356079*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r - 33*r**2 - 18*r**2 - 5*r + 50*r**2. Let x(n) = -n - 566. What is g(x(l))?\nAnswer: -l**2 - 1132*l - 320356","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -284.676 and -257.\nAnswer: -541.676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 0*z**2 + 0*z**2. Let l be u(0). Let g(v) = -v**3 + 19*v**2 + 21*v - 17. Let s be g(20). Solve l*i - s*i = -12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 3*f = -18, 65*f = -v + 69*f - 18 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 26 = -11. Let j = g + 12. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cuwwtwccuugucttacctc. What is prob of sequence tu?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71099.62 millilitres to litres.\nAnswer: 71.09962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of -1\/2*n**2 + 0*n**3 + 27*n + 0 + 23\/12*n**4. What is the tens digit of b(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-40)\/(-20))\/(4\/(-10)). Let v(i) = -i**2 + i + 4. Give v(k).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280)\/sqrt(8) - sqrt(35))*-3)\/(sqrt(20)*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = -5*k + 20 - 70, 3*k - 5 = 2*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 7:47 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -10 - 1) + (119 + -92 - 41)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 68. Let j = -119 - w. Let d = j + 49.9897. What is d rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38619 divided by 3?\nAnswer: 12873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -8\/7 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g + 41. Let f be b(-3). Calculate the highest common factor of f and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 983338 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -19.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 1 + -8 + 6 + -10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t*t\/(t*t*t**7\/t))**25)**7)**(-4\/7) assuming t is positive.\nAnswer: t**400","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 6. Suppose -3*y + 4*v = -28, s*y = -0*y - 3*v + 30. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 + 40*v - 112. Let a be m(3). Let o(w) = w**3 + 6*w**2 + 5. Let l be o(-5). Let n = l + a. What is the highest common divisor of 8 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/6)\/((-3)\/18). Suppose 4*h + 8 = -v + 80, -4*h = -x*v - 72. Suppose -2*p = -4*n + h, -n + p + 2 = -3. Solve n*q + 14 = g, 3*g - g - 1 = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -957.3665465 take away -480?\nAnswer: -477.3665465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 404901067 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-8 + -2)) + -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 780*q**2*u + 201*q**2 - 2*q*u - 824403*u wrt q?\nAnswer: 1560*q*u + 402*q - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 231779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 10 + -3)*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/100*(-1660)\/(-664)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23*s - 197 + 22*s - 273)*(21*s - 5*s - 3*s) to the form x*s**2 + v*s + k and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6730*k + 2 = -n + 6724*k, n + k = 8 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 2*b**2 + b - 1. Let j be a(1). Is -6 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 16 = 6*x - 2*x, 20*x + 5*a - 110 = 0. Solve -4*t + x = 3*r, -5*r = 4*t - 3*r - 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -135ab4 (base 16) to base 6\nAnswer: -43104124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/9)\/(10\/45). Let i be (1 + -2 - -4) + -1. Let d(z) = 4*z**i - z**2 - z**j. Let u(b) = 3*b. Calculate u(d(w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27042.9999959378 + -27043. What is z rounded to 7 dps?\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {t: 13, u: 5}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 1985.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1399134, 1399691, 1400248?\nAnswer: 1400805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31 and 40393.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**3\/4 - 389607*d**2\/2 - 779226*d = 0. What is d?\nAnswer: -4, 0, 259742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72.502 + -0.502. Let r = i + -77. What is the third smallest value in 3, -2\/7, -0.01, r?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -54 + 9 + 3*c**2 - 8 - 40 - 5*c**2 in the form t + d*c + s*c**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 140765051?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 9. Let j = 0 + 3. Let v = 2 - j. What is the closest to 1 in a, v, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 42\/9 - 5\/(-15). Let y(z) be the second derivative of 1\/20*z**o + 0 + z**2 + 0*z**3 + 0*z**4 + 2*z. Find the first derivative of y(u) wrt u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 34*f - 102. Does 8 divide p(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 115 - 104. Let q = 7 + -5. Suppose r - 2 + 0 = -n, q*r = -3*n + 7. Calculate the remainder when j is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 6*t. Let b(m) be the first derivative of 4*m**3\/3 - 2*m**2 - 1993. What is b(h(p))?\nAnswer: 144*p**2 - 24*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**3 + 65*f**2 + 115*f + 55.\nAnswer: 5*(f + 1)**2*(f + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 5 (c) 392 (d) -0.4 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/6 + 5\/(-15). Suppose i - 5*q - 46 = -14, -2*q - 48 = -z*i. Let u = i - -30. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*sqrt(70) + sqrt(70) + sqrt(70))*-6)\/(sqrt(360)*-1))**2*4.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*n + 0*n = 0, g = 3*n. Suppose g = 2*k + 3*b - 0*b + 164, 0 = 5*b + 20. Let h = k - -267. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 108 = 2*v. Let a(w) = 6*w - 3. Calculate the remainder when (-6)\/v - 446\/(-18) is divided by a(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/9, 0.3, 5, -76, 2?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 879 a factor of 52594086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 5*m**6\/6 - 7*m**5 + 45*m**4\/2 - 100*m**3\/3 + 20*m**2 - 9. Factor a(y).\nAnswer: 5*y*(y - 2)**3*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b\/(b*b**(2\/9)\/b*b)*b))\/(b**(-1\/12)\/b))\/(b**(-1\/3))**(2\/3) assuming b is positive.\nAnswer: b**(19\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -23.9.\nAnswer: 4.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/13, -1\/4, 5, 0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/9)\/(-1*8\/12)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -389*x + 279 = -759 - 129. Let s be (-50)\/(-8) - (-1)\/(-4). Let b be ((-4)\/6)\/((-2)\/s). Solve -3*c + b*c = x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 56 = 9*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-33)\/22*32\/(-6). Solve -s*z = -4 - 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/73 - 369\/146. Let d = -70 + 69.9. Let j = 7.3 - 7.1. What is the nearest to 1 in j, z, d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 124, 569, 1338, 2431?\n\"Answer: 162*k**2 - 41*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1134) + (-2*sqrt(1134) - sqrt(1134)))*-1)\/((-2*sqrt(84)*-2)\/(sqrt(72)\/(sqrt(6)*-1))).\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -5*k**4\/8 + 239*k**3\/6 + 53*k**2 + 1. List the prime factors of o(0).\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(2736) + sqrt(2736) + 1 + -5 + 5 + sqrt(2736)*-1 + sqrt(2736))**2.\nAnswer: 288*sqrt(19) + 65670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2301*z - 2313*z + 672. Let l(q) = q**3 - 3*q**2 - 4*q - 6. Let y be l(5). What is the greatest common factor of z and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3469576448 to the nearest integer?\nAnswer: 58903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 13*v - 19. Let m(f) = 4*f**3 + 40*f + 58. Let u(p) = -7*b(p) - 2*m(p). Let x be u(-2). Solve -k = -x*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**3 + 73*z**2 - 38*z + 75. What is the lowest common multiple of t(-37) and 384?\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, k: 3, w: 2, a: 1, y: 5}. What is prob of sequence wyy?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 5*k + 5 = 0, -3*k - 34 = 4*a - 44 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6 - 5 - w**2 + 2 + 25. What is s(-5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 7*d + 13. Let m be x(2). Let t(p) = 5*p**3 + 4*p + 8. Let w(z) = -4*z**3 - 3*z - 7. Calculate m*t(n) - 6*w(n).\nAnswer: -n**3 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 341978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3175\/28448 - (-1)\/32)*(-4 - 0). Let j = 3 + -4. Which is the nearest to p? (a) j (b) -3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1643472453 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 54\/(-30)*(-30)\/9. Let p(l) = -l**2 + 13*l - 3. Calculate the least common multiple of 12 and p(o).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 31 = 116. Let c = 87 - r. What are the prime factors of c?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 519 is divided by 144.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6357829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, r: 4, j: 10, p: 1, g: 2}. What is prob of sequence gc?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -9*p**5\/2 + 25*p**4\/2 + 87*p**3\/2 + 63*p**2\/2 + 5*p = 0.\nAnswer: -1, -2\/9, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -17*(3809\/(-13) + 10). What is i rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 11:58 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -8*m**2 - 13*m + 69. Let d(q) = 9*q**2 + 11*q - 69. What is -7*c(x) - 6*d(x)?\nAnswer: 2*x**2 + 25*x - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**5\/60 + k**4\/6 - k**3\/6 + 25*k**2. Determine m(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/199 or -2?\nAnswer: -2\/199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 33.04 and 0.3?\nAnswer: 9.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 40050.426 to the nearest one hundred.\nAnswer: 40100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 15 = -5*w, y - 3*w + 19 = -12. Let m(x) = x**3 + 26*x**2 + 20*x - 53. Let r be m(y). Calculate the greatest common divisor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 57?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 368572?\nAnswer: 368567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/3 (b) -0.4 (c) -5 (d) 0.4 (e) -2213\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.84 - 1.04. Let q = 8 - r. Let i = 0.3 + q. Which is the second biggest value? (a) i (b) 5 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 9:58 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a - 816 = -10*a - 7*a. Let t be (-1 + 1)\/(2 + -1). Put 5, a, t in decreasing order.\nAnswer: a, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -860*v**5 - 1260*v**4 + 475*v**3 + 1275*v**2 + 385*v - 15 = 0.\nAnswer: -1, -1\/2, 3\/86, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -88*r. Let h(b) = 6*b. What is f(h(p))?\nAnswer: -528*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1581, 7, 3, 5, -1 in descending order.\nAnswer: 1581, 7, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.7 - 2.2. Let z = -1.4 + 1. Which is the second smallest value? (a) z (b) u (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 3023722988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*i - 3*t = 27*i + 23, -17*t + 0 = -4*i + 33 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**4\/12 + 11*i + 6. Let p(a) be the first derivative of t(a). Let r(q) = -q**2 + 3*q**2 + 0*q**2. What is p(r(w))?\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2 + (-1)\/3)\/((-70)\/3 - -22)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + p - 112, -3*p - 33 - 22 = -2*k. Solve -5*y = -4*v - k + 27, 4*v = 4*y + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 g when two letters picked without replacement from ngrnnnrnnnntrndnnnd?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/43 or 1?\nAnswer: 12\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/2 - 2515*f\/2 + 6275.\nAnswer: (f - 2510)*(f - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 649*u - 423*u - 219*u + 50.\nAnswer: 7*u + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -89525223*y**2 - 123485107*y.\nAnswer: -179050446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3102 and 73038.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {e: 5, a: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -770*w**3 + 9946*w**2?\nAnswer: -4620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 709.952418ms?\nAnswer: 0.000001173863125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/1)\/(2\/(-44)). Let r be (-1023)\/g*(0 + 2). Let a = -76 + r. What is the remainder when a is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -224513 - -224513.4. Suppose j + 2 = 0, -3*v = -v - 4*j - 20. Let g = 0.5 - 0. Which is the closest to v? (a) i (b) g (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1542, -1\/3, 3, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -655963*g**3 - 4*g**2 - 3275*g + 3 wrt g?\nAnswer: -3935778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of 5*n**8\/192 - 47*n**7\/280 + 39*n**6\/160 - 9*n**5\/80 - 2*n**2 + 174*n + 1. Suppose k(a) = 0. What is a?\nAnswer: 0, 3\/7, 3\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*q = 57*q - 749 + 4029 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 18*s**3 + 132*s**2 - 27*s - 63. Let y(f) = f**3 + 8*f**2 - f - 1. Let h(g) = x(g) - 15*y(g). Determine d so that h(d) = 0.\nAnswer: -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*c = -29*c - 150. Let x = c + 251\/5. Factor 0 - 3\/5*t**2 - 2\/5*t + 0*t**3 + x*t**4.\nAnswer: t*(t - 2)*(t + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 192\/400*9\/54\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*h + 61*h - 35 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/759 + -29599\/1518. Let a = -2220 + 48757\/22. Calculate the common denominator of a and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 75, 2, 3.\nAnswer: -6, 2, 3, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 7*l**2 - 45*l + 16. Let r be g(11). Sort 0, -5, r, 1 in descending order.\nAnswer: r, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 35?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a decade in months?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 6. Let g be a(3). Let i be 170\/6 - 2\/g. Let s = i - -7. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 + 65. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2. Let o(b) = 34660*b**2 + 2. Calculate o(x(t)).\nAnswer: 34660*t**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2 = -4*x, 3*u - 1972 = 2*x. Let n = u + -663. Let q(z) = -z**2 - 4*z + 1. Determine q(n).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 148 = -372. Suppose -18 = z*i - 107*i. Is (-10855)\/(-7) + i\/21 - -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57*w**2 - 14*w**5 + 122*w**5 + 23*w**2 wrt w?\nAnswer: 6480*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m - 7. Let x = -52 + 66. Does 4 divide o(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - (2 + 1)*-1. Let z = 14 + -10. Let a = z - 2. Solve 0 = -4*c + i*n + 4, 19 = a*c + 5*n - 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x - 17. Let b(i) = i**2. Calculate o(b(a)).\nAnswer: -4*a**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6452 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16 + -7?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 403 and 377611.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 - 0.34. Let y be -5*192\/4536 + 4\/14. What is the fourth biggest value in -0.5, n, 0.5, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 18*b**2 - 116*b + 290. Give k(-8).\nAnswer: -446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 4*r - 8. Let l be y(-6). Suppose -11*b = -7*b - l. Let z be 1\/6 + (-195)\/(-18). Calculate the greatest common divisor of b and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 7:46 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/9*(-9)\/27.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 11:57 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25913458*z + 17586556.\nAnswer: 25913458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 940789926 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 - -63. Suppose u - g = 3*g + v, 4*u = 2*g + 386. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.23808 - 0.00762. Let h = l + 0.261. Round h to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*1 + 45\/(10 - 7). Solve 0 = -8*c - 41 + p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 320 (base 7) to base 8.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 210 and 4185650.\nAnswer: 12556950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/94831 and -48\/525881.\nAnswer: 5784691","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**2 + 5*m**2 + 3 + 0*m**2 - 2*m**2 to y*m + o*m**2 + k and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 44620?\nAnswer: 89240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4933.\nAnswer: 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 49, 83, 131, 199?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -81.3 - -124. Let r = 7.7 - z. Let v = r - -38. Sort v, -4, 2 in increasing order.\nAnswer: -4, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.54240177 rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 150 + 687. Is 31 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 9 = -6*c. Let g be (-1 - 0) + (-66)\/(-11). Suppose 3400009 = -g*b + b + c*o, o + 849997 = -b. What is b rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 166*x + 397. Let q be k(-67). What is q rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23352 divided by 5838?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 2*m + 210 - 124, -355*j - m = 7809 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -346 + 908. Let x = t + -562.1. What is the second smallest value in 30, 2\/5, x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 3.92. Let b = -15.439984 - -15.36. Let y = b + s. What is y rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 19*a**2 - 2*a + 2. Suppose 0 = -33*t + 62*t - 87. Let r(u) = -20*u**2 + 3*u - 3. Give t*v(q) + 2*r(q).\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 511 a factor of 5112334412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/46*205\/((-29725)\/174)\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1032 and 5161\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-5) - 189\/(-15). Suppose -4*h - l = 67. Let u = -13 - h. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*i - 288915 = -290365 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 516.\nAnswer: 4128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22220002 - 0?\nAnswer: -22220002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 517 and 649.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -12.6. Let i = 14 + -12. Let q(l) = l**2 + 2*l + 1. Let f be q(-1). Put i, f, d in ascending order.\nAnswer: d, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 16 - 8 = 2*p, 3*p - 8 = -5*b. Suppose 0 = b*t - 21 + 5. Suppose -t = -2*s - 2*s. Solve 0*x + x + s = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/63?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 11*z**2 - 17*z + 11. Let f be u(-9). Solve -f*o + 10 = -3*b, 0 = -3*o - 6*b + 11*b + 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 p when two letters picked without replacement from ehophe.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25036, -50254, -75682, -101326, -127192, -153286, -179614?\n\"Answer: -m**3 - 99*m**2 - 24914*m - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 12*n + 11. Let w(d) = -4*d**3 - d**2 + 37*d - 32. Let m(p) = -7*f(p) - 2*w(p). List the prime factors of m(6).\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 11*t. Let y(i) = 272*i. Calculate y(u(h)).\nAnswer: 2992*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 10, p: 3}. Give prob of sequence pp.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 273752 and 23542672?\nAnswer: 23542672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**3*x - 5250*q**3 + 3*q**2*x - 5646*q - 50*x wrt q.\nAnswer: -12*q*x - 31500*q + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -647*g**2 + 353*g**2 + 339*g**2.\nAnswer: 45*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*n - 100*n**2 + 7*n**3 - 2*n - 8*n**3 - 7*n + 4*n in the form j*n + u + r*n**3 + x*n**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 9*r**2 - r + 6. Let y be k(-9). Suppose -11 = j - y. Let c(w) = -3*w**2 - 159*w**3 + 2 + 160*w**3 - 3*w + 1. Determine c(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.004 and 2.055.\nAnswer: 0.00822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -58300, -116595, -174890, -233185?\n\"Answer: -58295*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 5*d + 7. Determine q(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f - 11. Let m be w(16). Suppose 265 = 5*v - m*s, -s - 7 + 2 = 0. What is the highest common divisor of v and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -7. Suppose 2*q = b*q + 20. Let a(j) = -4*j**3 - 2*j**2 - 3*j. Let w(s) = 7*s**3 + 3*s**2 + 5*s. Calculate q*a(n) - 6*w(n).\nAnswer: -2*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -2) + (8 - 7) - (90 + 21 + -21).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.97 + 0.03. Let w = 64 - 63.8. What is the biggest value in w, m, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 22*m + 5. Let w be c(21). Let z be 0 + w\/4 + -1. Let y(v) = v + 1. Let l(k) = k**2 - 6*k - 6. What is z*l(f) - 30*y(f)?\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 180989875 to the nearest integer?\nAnswer: 13453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2521013, 2521015, 2521017, 2521019, 2521021, 2521023?\n\"Answer: 2*x + 2521011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 16. Let y(o) = -o**3 + 10*o**2 - o + 12. Let j be y(z). Suppose -3*q = 2*q - x - 2, -j*x = -4*q - 2. Which is greater: q or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 32, 8.25, 61?\nAnswer: 8.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**2 + 2*f**2 - 2*f**2 + (3*f - 7*f - 3*f)*(2*f - 16*f + 0*f).\nAnswer: 100*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 b when three letters picked without replacement from {b: 2, l: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 667 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u**(-2)\/u*u)*u*u**6*u*(u*u**(5\/2))\/u**10 assuming u is positive.\nAnswer: u**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7796 is divided by 268.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.3, 5, -4, 2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of (-83580)\/(-36)*(2 + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, o: 6, r: 10}. What is prob of picking 1 n and 3 o?\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*d + 112*d - 126 = 0. What are the prime factors of 12\/d - 11376\/(-14)?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = h - 48. Let l = 93 + h. Suppose -6*n = -l*n + 36. Solve -x = 3*x - n for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - -219003) + (-2 - -3). Round i to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7*w**2 - 3. What is n(-2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(-o + o - o**4) - 10*o**4 + 3*o**4 - 14*o**4.\nAnswer: -22*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/19548 and 59\/35838.\nAnswer: 215028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5488 - -5488.00065075. Round g to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 - 7*x + 2. Let s be d(5). Suppose 2*b = -0*b + 28. Let y = s - b. 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 b = 6 - 7. Sort 3, 4, b in increasing order.\nAnswer: b, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1306*p + 30967 - 219*p - 30967.\nAnswer: -1525*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -2\/9 (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -9*u - 5. Let w be v(-4). Suppose 3*q + c = -3*c + w, -5*c = 5*q - 45. Suppose q*i - 4 = 6. Solve 0 = -i*m - 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 10*s - 4*s. Solve 0 = -s*p + p + 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000048804 rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -3772289?\nAnswer: 3772293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 243 + -236. Suppose -4*s = -s - 4*i + 1, 5*s = -i + 6. Calculate the highest common divisor of j and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from dddddddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4656520 to the nearest integer?\nAnswer: 2158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*v - 22*v = -615660000. Round v to the nearest 100000.\nAnswer: -9900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29178287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14228203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/34308 and -40\/18107.\nAnswer: 651852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*l = 286, -4*r - 3*l - 153 + 533 = 0. Let h be 5*5\/(75\/6). Suppose -4*y = -h*y - 28. What is the highest common divisor of y and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 324 and 3?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -9. Let m(s) be the third derivative of 0*s**3 + 1\/12*s**4 + 0 + 0*s - 1\/30*s**5 + 2*s**z. Find r such that m(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*w + 76*w + 3*w - 335. What is the second smallest value in 1922, -5, -3\/2, w?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7887.898 - 7975. Let f = -87 - o. Let q = f + -5.202. What is q rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -378*r**2 + 7*r + 18. Let c(x) = -1891*x**2 + 34*x + 85. Determine 3*c(y) - 14*p(y).\nAnswer: -381*y**2 + 4*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552790747.\nAnswer: 552790747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 60*j - 3*j**2 + 6*j**2 - 237 + 15*j + 159*j.\nAnswer: 3*(j - 1)*(j + 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + 7. Let j(t) = 91*t - 2633. Calculate the lowest common multiple of j(29) and v.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30900 - 12600. What are the prime factors of h?\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, t: 5, s: 1, c: 4}. Give prob of picking 2 c and 2 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/21, 5, 0.1, -0.06, -0.09, 11, 486?\nAnswer: 486","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 85*d**3 - 244 - 49*d**2 + 23*d**2 + 246 + 17*d**2 + 3*d to f + c*d**3 + m*d + g*d**2 and give c.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 127424 and 905?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 97823800 to the nearest one million.\nAnswer: 98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 19.222.\nAnswer: -24.222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 1390596?\nAnswer: 1390592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-1) - 0\/1. Suppose 8*s - 5*w = 3*s - 10, b = 2*s - w - 1. Suppose 5*z + z = -z. Solve 0*q - q + s*o + 7 = z, 4*q + o = -24 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/(-20))\/((-4)\/(-10)). Which is the second smallest value? (a) 5 (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/975394 and -17\/5782.\nAnswer: 57548246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 12543*c - 8. Let j(g) = -514087415*g + 327886. What is -4*j(k) - 163943*w(k)?\nAnswer: 12611*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 200 - 3e?\nAnswer: 1b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13687 + -246257\/18. Find the common denominator of g and 41\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1. Let a be (2 - 1)*(-1 - u). What is the smallest common multiple of (-7 + -1 + 2)\/a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9547 + 16634. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -3*f**5\/5 - 141*f**4\/4 + 378*f**3 + 628. What is the third derivative of d(o) wrt o?\nAnswer: -72*o - 846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -311*b**3 + 180*b**3 - 15 + 2 + 12 - 1346*b**3.\nAnswer: -1477*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2131 (base 7) to base 14.\nAnswer: 3c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54195\/11 - 4927. Which is the fourth biggest value? (a) 0.3 (b) 0 (c) -2.08 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95122?\nAnswer: 2, 199, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9*3\/3*1. Let u = r - -1. Suppose 4*q + 29 + 119 = 4*f, -f - 3*q + 49 = 0. Calculate the greatest common divisor of u and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 149968*f**5*z + 16*f**2*h + 54*f*h*z + 2*f*z - 4*f + 14*h*z - 3*h - 20*z wrt f.\nAnswer: 2999360*f**3*z + 32*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-3) - 310*(-4)\/24. Let b be -3 + (7\/21 - t\/(-9)). Sort 5, b, 2, 6 in increasing order.\nAnswer: 2, b, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + 21. Let f = 32 - x. Let b(s) = -s**2 - 7*s + 4. Let w be b(-6). Solve -w = 5*t - 2*y, 6 = -3*t + y - f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5366?\nAnswer: 2, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 17\/3*u**3 - 3*u**6 - 16 + 0*u**4 + 0*u + 0*u**2 + 0*u**5. Find the third derivative of v(b) wrt b.\nAnswer: -1080*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5\/67267394?\nAnswer: -5\/67267394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4 (b) 0.02 (c) 3 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 9*x - 0*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -359*s + 165 = -326*s. Solve 2*u + 5*t + 28 = 0, s*u - 5 = -t - 29 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 934 divide 849402090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 357543.1 millilitres?\nAnswer: 357.5431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-429)\/66 + 32 + -25. Find w such that -x*w**3 + 4\/5 + 2\/5*w - 3\/5*w**2 - 1\/10*w**4 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of q**4\/12 + 7*q**3\/6 + 3*q**2\/2 + 230*q. What is a(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.3, -2489559, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2101*k**3 - k**2 - 1. Is r(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v**2 - 13*v - 9. Let q = -3 - -2. Let p be ((-1)\/3)\/(q\/33). Suppose 5*m - p = -1. Let f(t) = t**2 + 3*t + 2. What is m*b(j) + 9*f(j)?\nAnswer: j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3344 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 14. Let r(z) = -23*z - 155. Let u be r(-7). Let p(x) = -1. Calculate u*p(o) - i(o).\nAnswer: o + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = h + 5*i - 15, 21 = 4*h + 3*i. Solve -h*y = 2*y + 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, a: 2, d: 1, f: 1}. Give prob of picking 2 o and 1 d.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 55440.\nAnswer: 55440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11*1 - 6860\/560. What is the biggest value in -1, y, 3\/7, 0.2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3517 - -3524. Which is the closest to d? (a) 12\/11 (b) 0.2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 9. Let t be z(6). Let u be (4\/(2 + 0))\/(-1). List the prime factors of (9 - 1)*(t + u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**5\/40 - 5*s**4\/24 - 2*s**3\/3 + 5*s**2. Let t(l) be the first derivative of f(l). Differentiate t(r) with respect to r.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - k + k**2 - 5*k**2 + 2)*(196 - 79 + 43).\nAnswer: -320*k**2 - 160*k + 320","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**3 - 49*g**3 - 6*g**3)*(3*g + 4*g - 5*g).\nAnswer: -116*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 818 = 2*t, -5*h + 2*t + 544 = -477. Suppose -w - 2*x + 53 = 0, -3*w - 3*x - 38 + h = 0. Does 19 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11990, 11936, 11856, 11756, 11642, 11520, 11396, 11276?\nAnswer: 11166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -41700936.\nAnswer: 1\/20850468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 408111.3l in millilitres?\nAnswer: 408111300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1012.089 - 1008. Let o = 0.089 - a. What is the nearest to -1\/3 in 4, o, 2\/43?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**8\/i*(i**4*i)\/i)**(9\/5) assuming i is positive.\nAnswer: i**(99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*h = 23*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -304.81173 and -1.5.\nAnswer: -306.31173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y - 4 - 6*y**3 + 5*y**3 + y**2 + 0*y**3. Let o be w(3). Let u(n) = -2*n - 5. What is the remainder when 26 is divided by u(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10 (b) 2\/1121 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**4 + 0*t**4 - 5*t**4 + 3 - 2*t**4 - 3 + (-2 + 0 + 1)*(-t**4 - t**4 + t**4) - 2*t**4 + 2*t**4 + 2*t**4 - t**4 - 5*t**4 + t**4.\nAnswer: -9*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5000) + 2*sqrt(5000)*-6 - (sqrt(5000) + sqrt(5000)*-2*4 - sqrt(5000)))\/((-1*sqrt(640))\/(sqrt(484) - (sqrt(484) + 1*sqrt(484))))*1)**2.\nAnswer: 136125\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 522*w**4 - 189674*w**3 - 738520*w**2 - 661288*w + 105760 = 0. What is w?\nAnswer: -2, 4\/29, 3305\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) -5 (c) 3\/4 (d) 136 (e) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*l*n**3 + 110*l*n**2 - l*n - l + 2*n**3 + 4*n**2 + 1042 wrt n.\nAnswer: -24*l*n + 220*l + 12*n + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yrry when four letters picked without replacement from {r: 2, y: 18}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**2 - 86*h + 369. Let k be z(6). Sort 109, 6, k in decreasing order.\nAnswer: 109, 6, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14\/5 in 3, -1.4, 0.4, 0.5, -11\/6?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -18233 to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*k - 20*k - 55*k - 19*k + 109*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 + 6*z + 1. Let l(o) = -3*o**2 - 5*o - 1. Let b(g) = 7*l(g) + 6*y(g). Suppose 12*f - 4 = 8*f. Give b(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*3*1\/3. Suppose l = 2*a + a + 51. Let g be (-15)\/5 - 1*a. Calculate the greatest common factor of 70 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1 + sqrt(45) + sqrt(5) + (2*sqrt(25))\/sqrt(5)) + -3)**2.\nAnswer: 120*sqrt(5) + 745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 5:24 AM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 21. Suppose -a + 11 = -r, 5*a + s = -3*r + 2. Let c = 27 + r. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -3)\/(7\/(-2)). Let d = 94 - 95. Let n be 10\/(-14) - (-10)\/35. Which is the closest to d? (a) -3\/4 (b) n (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 406*f**3*z**3 - 496*f**3 - 34*f**2 + f*z**3 - 24999*f*z wrt f.\nAnswer: 2436*z**3 - 2976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67066972.\nAnswer: 2, 7, 17, 140897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*m + 4*v, -m - 9*v + 26 = -4*v for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 10:08 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28 + 35. Suppose -4*o + 1 = -g. Solve 4*z - 2 = o*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306404?\nAnswer: 2, 7, 31, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8326?\nAnswer: 2, 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 14 = 16*j - 19*j, -2*j + 5 = -5*r. Solve 0 = -j*i - 4*o + 25, -2*i + 35 - 28 = o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 + 109*l - 1230. Let t be g(13). Let i = 2.6 - 3. Which is the closest to 2? (a) t (b) i (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i + 1. Suppose 3*k + 0*k = -3. Suppose -3*p = 595*w - 600*w + 72, 7*p = -w + 60. What is the remainder when w is divided by s(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -44809?\nAnswer: -44812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 622.4413us to milliseconds.\nAnswer: 0.6224413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*o**4 + 1 - o**2 - 745*o**3 + 745*o**3 + (-o**3 + o**3 + o**3)*(4 - 4 - 2*o) - o**4 - o**3 + o**3 as p*o + y*o**3 + f*o**2 + j*o**4 + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (-482991*1)\/(-3). Round q to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**5 + v**2 - 9*v**2 - 2*v**5 + 4*v**5 - 3*v**5 - 2*v**5 + (4 + 2*v**4 - 4)*(-3 + 3 - 2*v) - v**4 + v**4 - v**5 - v**5 - 2*v**5 + 4*v**5.\nAnswer: -7*v**5 - 8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - 1237621.\nAnswer: -1237615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4 - 50. Suppose -4*b = -3*v - n, -4*v = 4*b - 0*b - 4. Calculate the remainder when b is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*y + y - 2*y)*(1 - 1 - 2*y) - 6*y**2 - y**2 + y**2)*(5 - 1 + 0*y - 2*y) + (-3*y + 0*y - 2*y)*(3*y**2 + y**2 - 2*y**2).\nAnswer: 6*y**3 - 32*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-40)\/(-32)*50\/395. Let z = d + 2\/237. Determine l so that z + 1\/3*l + 1\/6*l**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s + 14. Let o(q) = -6*q - 15. Let t = -101 - -107. Let y(x) = t*o(x) + 7*r(x). Let c(u) = -17 - 14 + 16 + 2*u. Determine 6*c(g) + 11*y(g).\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -13*c + 44. Let s be l(3). Let f(r) be the third derivative of r**5\/60 - r**4\/3 + 7*r**3\/6 + 10*r**2. What is f(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 139 + f - 69 - 69. Let i(n) = 10*n + 6. What is -5*g(v) + i(v)?\nAnswer: 5*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -295\/57 + -212\/19. Let y be 2\/6 + (-1908)\/(-108). Let o be (-274)\/y + 94\/423. Which is greater: j or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 65*j - 1265 = 64*j, 5*j = -4*b - 983. Is -248 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*k - 5*k - 9*k + 3*k**2.\nAnswer: 3*k**2 + 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 8:58 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/12 and -61\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.91 - -0.09. What is the nearest to -2 in b, -4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p - 4. Let o(d) = 14*d - 340. Let s be o(26). Let z be 72\/10 - s\/(-30). Give r(z).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*x - 4*u = -11, 0 = 5*x + 5*u + 5. Sort -14, 1, x in ascending order.\nAnswer: -14, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/890 and 105\/8993272?\nAnswer: 44966360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8707 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5248*k**2 - 5241*k**2 + 4 + 10485*k**2.\nAnswer: -4*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1638 - 1628. Solve -4*g = 3*q - q - p, 5*q - g = -19 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 587915*x - 595. Let c be u(-7). Round c to the nearest 100000.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r**3 - 2*r**2 + 3*r**2 + 14194*r**4 - 14193*r**4 - r in the form x*r + f*r**3 + j*r**4 + u*r**2 + c and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14840 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, f: 2}. Give prob of picking 3 s.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**2 - 21*w + 24 + 3\/4*w**3 = 0 for w.\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8496)\/354)\/((-2)\/(-1))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**5\/60 + o**4\/4 + 11*o**3\/6 + o**2. Let k = 128707 - 128711. Calculate f(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -4.403, -4\/9, -0.35, 0.03, -0.4, -4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20*g + 528 wrt g.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 - 161*f + 428. Give h(76).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -44, 4, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -21a7925 (base 11) in base 16?\nAnswer: -3aea18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3385 - -3384.999999446. Round u to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o + 70. Let f(q) = 22*q - 534. Let j be f(25). Determine d(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 + -8. Let d be (-47299998)\/(-11) + f\/66. What is d rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3590.\nAnswer: 2, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 (base 14) in base 13?\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83378859726 + 19844408304803\/238. Let u = 1007103 - b. Let y = u + -31\/14. What is the closest to 0.08 in -0.1, y, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - ((0 - -5) + 0 - (326 - 275))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.226, -0.05, -1786?\nAnswer: -1786","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45284406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -158, -288, -470, -704?\nAnswer: -990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 3:42 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2708, -22, 4, 1 in decreasing order.\nAnswer: 2708, 4, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2460 and 6232?\nAnswer: 93480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(11*(-24)\/396)\/(588\/(-54))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/11)*z)**(-36)\/(z**1)**(-2\/23) assuming z is positive.\nAnswer: z**(-7430\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 15*o**2 - 16*o + 32. Let y(h) = 2*h**2 - 8*h - 28. Let q be y(7). Let f be r(q). Put 9, -0.11, f in descending order.\nAnswer: 9, f, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s**3 - 1859*s + 928*s - 17*s**4 - s**3 - 1 - 2*s**3 + 930*s - 3*s**2 in the form d*s**2 + w*s + x + q*s**3 + b*s**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 144?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 8128*a**4 - 22*a**3 + 8999. Let k(f) = -2709*f**4 + 8*f**3 - 3000. Let v(n) = 11*k(n) + 4*l(n). Differentiate v(o) wrt o.\nAnswer: 10852*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 2:20 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 13*m + 9. Calculate x(14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**6\/240 - t**5\/180 - t**4\/144 + 9*t**2\/2 - 9*t. Let v(i) be the first derivative of r(i). Suppose v(h) = 0. Calculate h.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbp when three letters picked without replacement from {b: 3, c: 5, p: 1}.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/3 - 100*o**2\/3 + 818*o\/3 - 240.\nAnswer: 2*(o - 40)*(o - 9)*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 239*g**3 - 740*g**3 - 337*g**3 + (3 + 2 - 4)*(0*g**3 - g**3 + 2*g**3) + 0 + g**3 + 0.\nAnswer: -836*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-5)*-8 - 30\/50.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-35)\/((2\/(-2))\/(1 + -2)). Let v = -32 - k. Suppose p - v*q - 204 = 0, 0 = -3*q + 5*q + 6. List the prime factors of p.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000011000100111 (base 2) to base 15\nAnswer: -a298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48208, -192851, -433926, -771433?\nAnswer: -1205372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 21*d - 13. Let r(l) = 7*l - 3. Let w(m) = -8*m + 3. Let x(q) = 3*r(q) + 2*w(q). Let v = 163 + -157. Determine v*z(t) - 26*x(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -7*u**2 - 2*u - 2. Let t(l) = 69*l**2 + 21*l + 21. Determine -21*r(o) - 2*t(o).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**3 - 8*x**2 + 8*x + 4. Let f be r(-7). Let s = -39 + f. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 129932 = -4*r, 4*p - 15*r = -12*r + 129931. Is p a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 11\/60 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 72 (b) 0.1 (c) 22 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 12 - 4)*(-3*f**5 + 2*f**5 + 0*f**5).\nAnswer: -2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(8)*2 + (sqrt(18)\/sqrt(9) + -3 - sqrt(2) - sqrt(2)))**2.\nAnswer: -18*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45382.71l?\nAnswer: 45382710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2339, -4721, -7085, -9359, -11471?\nAnswer: -13349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and ((-160)\/24)\/(0 + (-1)\/9)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9431, 17374, 25317?\n\"Answer: 7943*i + 1488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 7:52 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 146, 214, 282, 350, 418, 486?\n\"Answer: 68*s + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23184 a multiple of 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 13.4. Let o = y - 10.4. Let c = 0.06 + -0.16. Put o, c, -1 in ascending order.\nAnswer: o, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v, -4*m + 7*m = -5*v. Solve m = 4*f + z - 9, -9 = z + 2*z for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 6 = -4*j + w, 0 = 3*j - 2*w - 2. Put j, 10, -5 in ascending order.\nAnswer: -5, j, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 56 + 2*n**2 + 54779*n - 3 - 54777*n in the form c*n**2 + m*n + l and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*y + 20. Let o be y - (-21)\/(0 + -3). Put -2, -4, o in decreasing order.\nAnswer: -2, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5*s + l = 7, -3*s + 5*l - 17 = 0. Let j(w) = 3*w + 68*w**2 + 0 - 6 - 9*w**2 + 3. What are the prime factors of j(s)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 2\/3 (b) -1445 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -22642762 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 -1 - (5 + (5 - 4 - 6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-6))\/(1\/3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 202853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -4. Let f(y) = 4 + y + 12 - 6. Is 2 a factor of f(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -1 + sqrt(98) + 2 - ((sqrt(2) - 3*(sqrt(72) + sqrt(2))) + (sqrt(288)*-1 - sqrt(2))))*-6)**2*-6.\nAnswer: -693144 + 51840*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140730553?\nAnswer: 787, 178819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a factor of 94165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - 29424330059019\nAnswer: -29424330059019.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1637*z**3 - 1182?\nAnswer: -4911*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -16590, 1\/2, 3\/5, 103\/3, 5, 4 in decreasing order.\nAnswer: 103\/3, 5, 4, 3\/5, 1\/2, -16590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9*(-3)\/(-18)*34. Suppose -16 = h + 5*b, -7*h + 3*h = -b + 22. Let i be 1\/h - 205\/(-6). Calculate the highest common divisor of i and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 - ((-12)\/(-27) - (-12482)\/711)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 247 (base 8) in base 7?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - -2 - (0 - 1). Let p be (-65)\/(-7) + (-12)\/42. Suppose p*u = 5*u + 20. Solve -u*l - 2 + 17 = q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**3 - 10*f**2 - 24*f = 0.\nAnswer: -6, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4682 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10030 and 810424.\nAnswer: 2006","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8b (base 15) in base 4?\nAnswer: -2003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8174279 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**3 - 32*w**2 - 42*w + 217. Give i(11).\nAnswer: 1207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 0)*(-14 + 5 - 9)*(-p - 7*p - 5*p).\nAnswer: -1404*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 548*t = 15401 + 24895 + 2118 - 10082 for t.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - (28 + -9)) + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3043 - 3116. What is the second smallest value in 4\/9, x, 1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 83.3 - 103. Let z = t - -19.008. Let k = z - -0.7. Round k to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 23, 0.2, -0.3, -38 in ascending order.\nAnswer: -38, -0.3, 0.2, 2\/5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-10 - 41 + 18)*(-1 + 3 + 0) + 1 - 3 + 0)*(3*w - 3*w - 4*w).\nAnswer: 272*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67257704 and 184?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4857.547ug?\nAnswer: 0.000004857547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6 = 5*y + 35, -2*o = 4*y + 24. Let v be 4 + o + 1 - 3. Let z(r) = r**3 + r**2 + r + 23. List the prime factors of z(v).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g. Let f(p) = 2*p - p + p. Calculate z(f(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = y - 6. Let c be y\/28*8\/1. Let a = 827 + -831. Put c, a, 3\/7 in decreasing order.\nAnswer: 3\/7, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -3*u. Suppose -2*c + u*c + 34 = 0. Calculate the remainder when 65 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2375.154g in micrograms?\nAnswer: 2375154000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 0.2, -2, -2\/13, -4 in decreasing order.\nAnswer: 2\/7, 0.2, -2\/13, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -247, -495, -743?\nAnswer: -991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b = -19*b - 99. What are the prime factors of b?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*y - 6. Let k(g) = g**3 - 6*g**2 + g - 2. Let l be k(y). Let u be (-1)\/l - 25\/(-20). Which is the biggest value? (a) 0.3 (b) u (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 1. Let b(z) = -18*z - 5. Let q(k) = b(k) + 4*x(k). Suppose 5*c = -1171*g + 1174*g + 25, 4*g + 14 = -3*c. Calculate q(c).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(7\/((-154)\/4)). Let s be (6\/5)\/(d\/(-1375)). Let z be (s\/9)\/((-3)\/(-18)). Round z to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 24 + 76 = -2*s, 2*s - 62 = -4*r. Let q = -25728 + 25749. Solve q = -i + r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 10\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 3*l - 25 = -5*c, -5*l - 7 = c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*a = -88, 5*q - 4*a + 194 = -27. Find the common denominator of ((-6)\/q)\/((-192)\/(-3320)) and 5\/((-100)\/(-6)) - 4671\/(-3780).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 983*u**8\/56 - 449*u**4\/6 + 780*u. Find the third derivative of i(t) wrt t.\nAnswer: 117960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-2\/7)\/o))**47 assuming o is positive.\nAnswer: o**(752\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = f - 104. Which is smaller: f or -1\/255?\nAnswer: -1\/255","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12936*i - 10*i**3 - 2*i**3 - 13088*i as c*i + t*i**2 + x*i**3 + b and give c.\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -89.8 - -147.6. Let n = -9 - d. What is n rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1764.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of s**6\/60 + s**5\/8 - s**4\/24 - 17*s**3\/12 + 3*s**2 - 185*s - 1. Factor z(h).\nAnswer: (h - 1)**2*(h + 3)*(h + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 9. Let p be z(-5). Suppose p*u - 140 = 7*u. Let q = -46 + u. Sort -1, q, 0 in decreasing order.\nAnswer: 0, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(1\/7))**16*k\/(k*k**(1\/5))*(k\/(k**(-4\/3)\/k*k))\/k assuming k is positive.\nAnswer: k**(2039\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 0.3, -224\/9, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 7:32 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*h + 422 = 1990 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5}. Give prob of sequence tt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.53232 years to millennia.\nAnswer: 0.07253232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -757164*r - 1021358?\nAnswer: -757164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*n**2 - 324024*n - 323857*n + 647881*n.\nAnswer: 76*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-5453)\/(-49) - 4\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 + 7*i - 8. Let o(z) = z**2 + 3*z - 4. Let t(a) = -9*o(a) + 4*p(a). Let c(l) = 3. Suppose 12 = -7*k + 3*k. Give k*c(w) + 2*t(w).\nAnswer: -2*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 12. Let n be -6*((-10)\/t - 2). Find the third derivative of -5*o**3 + 3*o**3 - 4*o**n + 3*o**2 wrt o.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + ((-175)\/84 - 0))*3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 500 is divided by 56?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -16*t + 10 - 3 - 3 - 13*t. Is b(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/27)\/(42448\/(-45480)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1702 or 1703?\nAnswer: 1703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3869, 3874, 3881, 3890, 3901, 3914?\nAnswer: 3929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -3019*h**4\/2 + 7616*h - 586. What is the first derivative of u(r) wrt r?\nAnswer: -18114*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -628, -3 in decreasing order.\nAnswer: 5, 0, -3, -628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2243.31 rounded to the nearest integer?\nAnswer: 2243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/18)\/((-64)\/(-48)). What is the closest to f in -2.9, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -914 + 633. Let x = -281 - n. Find a, given that -2\/3*a**3 + 1\/3*a**2 + 1\/3*a**4 + 0 + x*a = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 299 minutes after 1:47 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Round -12950941000 to the nearest 1000000.\nAnswer: -12951000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 - 3*t + 2. Let c be u(3). Let s = -6 + c. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -17*g**2 + 2. Let d be m(2). Suppose -14*h + 9*h + 5*a = -285, 0 = 2*h - 3*a - 109. Let j = h + d. Sort j, -3, 0 in decreasing order.\nAnswer: 0, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*l = -29369, 3*q - 78*l - 29389 = -79*l. What is the thousands digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -836558665 greater than -836558664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26972*v + 29892*v + 29200 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 38*i - 7*i + 4*i**2 + 2 - 2 + 188*i in the form p*i + r*i**2 + w and give p.\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 4*l + i + 87, -4*i - 48 = -2*l. Let r be (-18)\/l - 43\/(-5). Which is bigger: 9 or r?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 23*a**2 - 52*a - 45. Let t be w(-25). Solve 15 = -4*r - 5*y, -r + t*y = -20 + 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.01, -4, 7, 2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*j + 196*j - 499*j + 130*j + 137*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37417\/(-1209) - -4 - (-6)\/(-117).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + 5\/(3 + 2). Suppose -u = -g - 7, -5*u - 8*g + c*g = 10. Solve -i + 4*k - u = -3, 2*i - 4*k = 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**2 - 29*f - 2. Suppose 0 = 14*g - 93 - 103. Let s be k(g). Let p = 479 - s. Is p 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 313252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1767, -1, 2952, -4 in descending order.\nAnswer: 2952, 1767, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*r**3 - 26*r**3 + 17*r**3.\nAnswer: 7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9697968 divided by 81.\nAnswer: 119728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1468138, 2935889, 4403640?\n\"Answer: 1467751*g + 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4452 - 3953. Solve 0 = 9*q - 499 + g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-77)\/165*2\/28*(6 + -2). Let r = 4 - 11. Sort r, i, 3 in decreasing order.\nAnswer: 3, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 3*s + 65, 5*s - 54 = t - 11. Let f = 40 + t. What is the highest common divisor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 190 + -186. Suppose 0 = -2*r - 8, 5 + 5 = 2*v + k*r. Let b(c) = 2*c**2 + 13*c + 13. Let n(a) = 2 + 57*a**2 + 4 + 6*a - 56*a**2. Give v*n(m) - 6*b(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-253 + 233 - (0 - 43)) + 15.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 0.448.\nAnswer: -4.552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 327, 1196, 2913, 5760, 10019, 15972?\nAnswer: 23901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2534?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131104811?\nAnswer: 131104811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1885669080 to the nearest one hundred thousand.\nAnswer: -1885700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1805 - -3684. Suppose -14*m + 3*m + h = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + l + 15. Let r be j(0). Suppose -4*m = -3 - 13. Suppose 0 = -z + h + 8, -1 = 2*z - m*h - 23. Solve -2*q + 7*q - r = z*s, 4*q = 2*s + 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -876 and 16.02.\nAnswer: -14033.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*c - 25, 4*c + 0 = -12. Solve 2*n - i = -0*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 - 5*b**3 - 3*b**2 + 13*b + 10.\nAnswer: (b - 5)*(b - 2)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 divided by -22?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -d + 2*v + 9, 5*v = 3*d + 13. Let a be d\/(-8)*(3 + 71). Let u = a + 126. What is the remainder when u is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166697443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -318 + 324. Calculate the lowest common multiple of 1 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2698833.\nAnswer: 3, 899611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c**(-7)\/c)\/c*c**(-1\/5))**30 assuming c is positive.\nAnswer: c**(-246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55 - 3*k**2 + 6*k**3 + 53 + 3*k**2 to j*k + g*k**2 + r + x*k**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -50 * 134\nAnswer: -6700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 202333?\nAnswer: 202323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, 3, -24?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25736397 a multiple of 2351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*15\/140*(-14)\/21.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2470 is divided by 1183.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39336 and 2173314?\nAnswer: 8693256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -9*l**4 - 7927*l**3 + 247732*l**2 - 54660*l = 0.\nAnswer: -911, 0, 2\/9, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1901323 is divided by 633762?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r*r**(-33))))\/r**9 assuming r is positive.\nAnswer: r**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 20*y - 9*y - 2*y + y)*(167 - 167 + 117*y**3).\nAnswer: -3393*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + 1. Let f = 27 - z. Suppose 8*x = o + 3*x - 50, -x = -f*o + 124. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - a + 1 + 3 = 0, 0 = 2*z + 2*a. Let t(w) = -w**2 - 13*w - 38. Let k be t(-5). Factor 0*o - 4\/5*o**k - z*o**3 + 0.\nAnswer: -2*o**2*(5*o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -24.7584024 and 18463.\nAnswer: 18438.2415976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32035176.7 + -0.3?\nAnswer: 32035176.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -3, 4, -6, -1350, -12 in descending order.\nAnswer: 4, 3, -3, -5, -6, -12, -1350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1025405 (base 8) to base 10.\nAnswer: 273157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -379315763*a**4 - 2097814*a**2 - a + 10.\nAnswer: -9103578312*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 855175+32.806\nAnswer: 855207.806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: -257 (base 8) to base 3\nAnswer: -20111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2722 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3316 + 6639 - 4*l - 3323 + 2*l + 0*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 48984168 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20\/3*j**2 - 8*j + 0 + 4\/3*j**3 = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 9*t**2 + 8*t + 2. Let y be q(8). Suppose 0 = -2*p - y - 2. What is the smallest common multiple of 2 and 5 - (-1 + -1)\/p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -246697 (base 12) to base 14\nAnswer: -115a27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 8:14 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = -80*w + 107 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (21*a**3 + 6676 + 27*a**3 + 3*a - 6684)*(0*a + a - 2*a) in the form b*a**3 + r*a**4 + p + m*a**2 + g*a and give r.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (1 - (1 + 0)). Let c = -301.8 + 302. What is the closest to -2 in x, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -387 rounded to the nearest 10?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 27. Let p be (-6)\/(-21)*(l - -3). Suppose -4*h = q + p - 21, 3*h = 0. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83\/5 + -82\/5. Which is the third smallest value? (a) -694\/3 (b) 3\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 425277034?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -856*a + 570 = -799*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgggmygggymuygmgygg. What is prob of picking 1 y and 1 m?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0949528 rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 49, 37, 9, -41, -119, -231?\n\"Answer: -h**3 - 2*h**2 + h + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 4, 8, -4, -2, -6, 0 in decreasing order.\nAnswer: 8, 4, 0, -2, -4, -6, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -355329, -355336, -355343, -355350, -355357, -355364?\n\"Answer: -7*r - 355322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 7*w + 46. Let d be u(-8). Is 5\/d*(4 - (470 + 4)) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5701 divided by 1.\nAnswer: 5701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -17*k + 5. Calculate d(-3).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 5*t + 34 = 0, 4*w - t = 328 - 321 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/3 or -26142584?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 10815343442502\nAnswer: -10815343442501.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12*2*294\/784\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 - (-4 - (-8 - -5) - 50).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 425 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}