diff --git "a/data/dm_maths/full_data_2/10436_11255.jsonl" "b/data/dm_maths/full_data_2/10436_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10436_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let n(f) = -f**2 - 8*f - 8. Let o be n(-6). Let w(m) = -m + 5 + 4 - 4 + o. Let i be w(5). Which is smaller: i or 21\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.08 (b) 5 (c) 5.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23*v**2 + 23*v**2 - 29*v**3)*(1 + 3 - 2 + 0 + 1 + 0 + (2 + 4 - 5)*(1 - 5 + 2)) to b*v**2 + t*v + a + c*v**3 and give c.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1190 - -15?\nAnswer: 1205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 5*s - 4 - 20, 5*s = 0. Let t be (4\/(-6))\/(y\/(-60)). Suppose -4*l = -t*h + 41, -5*l = 5*h - 2*l - 48. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2386 + 2401. Calculate the remainder when 71 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 241626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 7*s**2 - 11*s + 2. Does 16 divide l(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 16) in base 2?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 3, 1.1, 2, 0.17, -27 in descending order.\nAnswer: 3, 2, 1.1, 0.17, -0.5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15165)\/(-674))\/((-18)\/20)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -0*r - 20. Let b = 127 + -73. Suppose -4*n = -u - b, 47 = -n + r*n - 4*u. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 653408 (base 11) to base 2.\nAnswer: 11111110111000011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 788\/4833 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**5 + 60654*f**4 - 1017*f**3 - 341836890*f**2 wrt f.\nAnswer: -60*f**2 + 1455696*f - 6102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 + 40 = 2*m. Suppose -c + i + m = 0, -17 = -c - i + 30. Let k = -24 + c. What is the least common multiple of 27 and k?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 25. Let h = 4.9258 + 0.0742. Which is the biggest value? (a) 4\/15 (b) h (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 10859704?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 + -501)*-2*1?\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 61 - 4*x - 42 + 2*x.\nAnswer: -x + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*l - 0. Suppose 8*g - l*g = 2648. Is g\/(-2)*(-3 - 20\/(-8)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 226*h*k*r**3 - h*r - 83*k*r**3 - 7*k - r**3 wrt h?\nAnswer: 226*k*r**3 - r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3}. What is prob of sequence kkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 12*w**2 - 16*w + 10. Suppose 2*m - 23 = m. Let j = m + -13. Is r(j) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -19*o**2 - 2*o. Let y be w(8). Let d = y + 2532. Round d to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.527 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 80*i. Let b(v) = -11*v - 16*v - 16*v + 44*v. Give x(b(s)).\nAnswer: 80*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29\/3031 less than 240?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + x - 2. Let o be m(-3). Suppose -4*l - 56 = -3*v - v, o*l + 34 = 2*v. Find the first derivative of 6 + 6*k + 8*k - v*k wrt k.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*r**2 - 8*r**2 - 6*r**2 + (-r + 5*r - 2*r)*(2*r + 4*r - 4*r + (0 + 3 - 2)*(2*r + 2*r - 2*r) + r + 3 - 3).\nAnswer: 17*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*a**2 - 26*a + 55*a - 27*a - 37*a**2 to the form w*a**2 + t + z*a and give w.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 55*p**2 + 173*p - 64. What is m(-58)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -w**2 - 3 - 2*w**2 - w**2 - w. Let v be a(-2). What is the greatest common factor of v and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*q - 20 = u + 43*q, -50 = -4*u + 2*q for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**3 + 194*c**2 + 608*c - 800 = 0. Calculate c.\nAnswer: -4, 1, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4 + -0.6. Let r = -90.53 + 90.72996. Let t = q + r. What is t rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ybqy when four letters picked without replacement from {q: 4, y: 5, b: 3}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*r**4\/7 - 4702*r**3\/7 - 51248*r**2\/7 - 135368*r\/7 - 32160\/7 = 0. What is r?\nAnswer: -6, -4, -5\/19, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2, 2\/5, -3\/8, -0.96?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 20*t**2 + 102*t + 25. Let j be h(-11). Sort j, -16, -5 in increasing order.\nAnswer: -16, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 4 + (2 - (0 - 5)) - 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -103*p + 3286. Determine q(23).\nAnswer: 917","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 104467\/54492 - 2\/4541. What is the common denominator of (-2)\/36*(-3336)\/(-16) and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/1321 + 6599\/3963. Let f be (-2)\/4 + (-21)\/6. Which is the nearest to -0.2? (a) -2 (b) j (c) f (d) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26608 (base 13) in base 11?\nAnswer: 49652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-2))\/(14\/15). Let o(v) = v**3 + 2*v**2 - 3*v - 410. Let d be o(0). Let k = d - -407. Which is smaller: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*d - 417 = 99 + 54 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-2*((sqrt(684) - (sqrt(684) + (sqrt(684)*2 - sqrt(684)) + 4) - sqrt(684)) + (sqrt(684) - 2*sqrt(684))**2 + 4)*-2.\nAnswer: -288*sqrt(19) + 16416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 95421461 rounded to the nearest 10000?\nAnswer: 95420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -35*v - 1. Let p(c) = c. Let y(n) = 2*g(n) + 14*p(n). Let w be y(-2). Suppose 6*s = 5*d + s - w, -25 = 5*s. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119 and 105?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 + 316 + 271 - 2*q**3 + 286 - 873.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3 + -5*sqrt(10)\/sqrt(5)) - (2 + sqrt(128) + 1 - sqrt(128)*-1*2))**2.\nAnswer: 216*sqrt(2) + 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -313 - -311. Sort h, -13, 1\/2 in descending order.\nAnswer: 1\/2, h, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**2 - h - 2. Let f be a(-2). Suppose 6*p - 8*p = -f. Differentiate -p*z**3 + 2 - 3 + z**2 - z**2 with respect to z.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -59.6233 - -0.1233. What is v rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 5, 1\/2, -7, -3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 7*d + 12. Let z be b(-5). Let n be -39 + 35 + (z - -2). Solve n = 7*x + 9 + 19 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m*m**4)\/m)\/(m*m**7*m*m)*((m*m*(m\/m**(2\/3))\/m*m)\/m)**32 assuming m is positive.\nAnswer: m**(113\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-20)*0 - (-3 - 19). Suppose 4*h - 4*s - 32 = 0, -3*h = 14*s - 15*s - n. Calculate the highest common divisor of h and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 6*y**2 - 24*y + 29. Calculate c(10).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1843 is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*f = 16, -4*m + 22 = 3*f - 8*f. Suppose -3*o - m = -3*t + 12, 4*t - 11 = -5*o. Solve 2*i + 7 = n, -t*i + 2*n - 23 = 3*n for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-9\/4))**(1\/20))**(-4\/7) assuming d is positive.\nAnswer: d**(-13\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18 - -735?\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(4\/5)\/((q**(-2\/19)*q)\/q*q))\/(q**(5\/6)*q**3))**(-36) assuming q is positive.\nAnswer: q**(13434\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(6\/11)*y\/(y*y**5))\/(y\/(y\/(y**0\/y)*y))**(-32)*((y\/(y*y**(-1)))\/y**(-3))\/(y\/y**(-1\/7)*y*y**(1\/7)*y*y) assuming y is positive.\nAnswer: y**(-5293\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45498816 by 459584.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -4*g + 63. Calculate a(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69673 and 579.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/16 - (-3)\/2. What is the derivative of -l + 1 + h - 4 - 2 wrt h?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = u - 85, -5*u = -11 - 14. Let z be (-2)\/(6\/4*i\/(-36)). Suppose z*g - 6 = 18. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.03 + -2.5. Let n = m + -0.49. Is 3 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1173 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 564 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 7) to base 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -644?\nAnswer: -647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*r - 28*r = -132030. What is r rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1456\/140)\/((-4)\/(-1090)).\nAnswer: 2, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*b**3 - 6*b**2 - 87*b?\nAnswer: 114*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*r + 33*r**3 + 31*r**3 - 63*r**3 - 87*r + 4 in the form a*r**3 + p*r + v + c*r**2 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.046 - 4.046. Is p >= 6\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -1\/60*b**5 + 0*b - 53\/30*b**6 - 5*b**2 - 1\/6*b**3 - 1\/24*b**4 + 0. Is u(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 977670, 977671, 977672, 977673?\nAnswer: 977674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38713478623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 2*y = -43, -y + 0 = 2*w - 18 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*o - 10 - 319*o - 6*o**2 + 108*o + 102*o.\nAnswer: -6*o**2 + 2*o - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25159592 rounded to 4 decimal places?\nAnswer: -0.2516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -33. Calculate the least common multiple of 6 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.95 - 0.95. Which is the nearest to v? (a) 1\/3 (b) -0.3 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1232)\/(-210) - 2\/(-15). Solve 3*d + 2*u + q = -2, 10 = -d + 3*u for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -60*i - 11. Let j(n) = -64*n**2. What is j(o(d))?\nAnswer: -230400*d**2 - 84480*d - 7744","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = m + 9. Suppose 0 = y + 18 + 27. Let o = -35 - y. What is the lowest common multiple of m and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10102 + 10?\nAnswer: 10112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*o**4 + 4130*o**3 - 3626*o**2 = 0. What is o?\nAnswer: -259, 0, 7\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 5*i + 20 = 0, -3*f = -2178*i + 2171*i - 28 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - (-2 + -8)) + 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65536497?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -279923182 by -3635366.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - a + 8. Let f(g) = -g + 5. Let j be f(-5). Suppose -4*k + 2*k - j = 0. Let u = 5 + k. Calculate i(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**4 + 15*c**3 + 35*c**2 - 75*c - 90.\nAnswer: -5*(c - 3)**2*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b**(-4)*b)\/b*b*b)\/(b**(-2\/3)*b))**(1\/8)*(b\/(b*b\/(b*b**(-1))*b)*b**3)\/((b**1\/b)\/b**(-2\/7)) assuming b is positive.\nAnswer: b**(23\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 189 and 912357?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*t - 372 = -111*t + 182*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19816 is divided by 763?\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - -1 - (9 - -1). Let s be 39\/(-52) - (-602)\/h. Is s\/(-6) + 4\/(-6) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5}. What is prob of sequence kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 4 = -4*q, 8 = 4*q + 4*u - 2*u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**3 + 10*a**2 - a - 2. Let g be o(-5). Suppose j = 5*j. Solve 3*h + g - 12 = j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(51\/(-697)) + -31.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(1 - 5) - -1. Let w(d) = d**2 - 4*d + 8*d + 1 - n*d. Let z(a) = 22*a**2 + 2*a - 2. Let r(s) = 2*w(s) - z(s). Factor r(p).\nAnswer: -2*(2*p + 1)*(5*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) 2\/3 (b) -1.3 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 - -1.46. Let v = 1 - t. Let j be ((-4)\/(-10))\/((-147)\/35). What is the smallest value in v, 2\/3, j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -105*p**3 - 316*p**2 + 57*p + 181. Give n(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 25709*o - 411361. Determine r(16).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) + (-2*sqrt(432)*5 + sqrt(432) - sqrt(432)))\/(sqrt(432) - 1*sqrt(432) - sqrt(432)))\/(sqrt(768)*2*1 - (-2*sqrt(768) - sqrt(768))*1).\nAnswer: 3*sqrt(3)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3496101 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 139142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1 + (-72 - 7 - 4)*(3 + 1 - 1))*(-w + 0*w + 6*w).\nAnswer: -1230*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1915, 1\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2424.28 rounded to the nearest ten?\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -15. Suppose 4*t + h = 14, v*t - 2*h = 2*h + 24. Solve 2*o + t*n = -10, -n = 5*o + 2*n + 18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312348 is divided by 312275.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11967134657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 6. Let h be l(-6). Let u be 141\/15 + (-2)\/5. Suppose h = -4*q + 7 + u. Solve -3*x - q*j = -6*x + 29, 5*j + 10 = -5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-1))\/l)**(-8)*(l\/(l*l**(-2\/7)*l))\/l*l*l\/l**7 assuming l is positive.\nAnswer: l**(-103\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46332 by -234.\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*k + 15. Suppose -14*t - 705 = -29*t. Suppose k*b - 1 = t. Solve z + 2*z = -b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/140*-6 - 4\/28. Let h = a + -9\/70. Let c = 13\/21 + -1\/3. Put -2, h, c in decreasing order.\nAnswer: c, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n**2 - n**3 - 3*n**2 + 54*n - 56*n. Give l(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11974, -15304, -18634, -21964, -25294?\n\"Answer: -3330*m - 8644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 - -57. Let l be 14\/(-2)*10\/(-35). Suppose 5*b - 175 = -5*u, 3*b + 6*u - 108 = l*u. Calculate the remainder when b is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 - (0 - (-4 + 0))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 22*s = -475. Let c(k) = -k**3 - 19*k**2 - 5*k - 51. Calculate the remainder when c(s) is divided by 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 75, 134, 209, 306?\nAnswer: 431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 j when two letters picked without replacement from olonllfjxjo.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 4. Let w be (v + 0)\/(0 - 1). Is -0.1 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2104030, 2104141, 2104242, 2104327, 2104390, 2104425, 2104426, 2104387?\nAnswer: 2104302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*w**5 + 2*w**4 - 855*w**3 - 2014*w**2.\nAnswer: -180*w**2 + 48*w - 5130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -488 (base 12) in base 13?\nAnswer: -404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15400 plus -3976?\nAnswer: -19376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6*y - 66. Calculate the remainder when 39 is divided by b(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/17, 5, -2, 71\/2, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 4. Let r be j(-7). Suppose -k + a = -0*k + r, -a + 23 = -5*k. Let f = k + 7. Which is bigger: 3 or f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 20, 138, 326, 578, 888?\n\"Answer: -k**3 + 41*k**2 + 2*k - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 - 2*a**3 - 2*a**3)*(4 + 2*a - 4)*(1 + 0 + 0).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2616 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*n = 10, 0 = -4*n + n - 12. Calculate the remainder when 2 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by 247891\nAnswer: 30\/247891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnknkeeeknlnnl. Give prob of picking 2 e.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41618, -83335, -125048, -166757, -208462, -250163?\nAnswer: -291860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*o - 2. What is the units digit of 46\/11 + o\/(-44)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 252 and 27?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 10. Let y = r + -0.9. Which is the third biggest value? (a) -1.3 (b) y (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3 + 0 - 2*w**2 - 5*w - 5*w**3 + 3. Let b(h) = h**3 - 4*h**2 - 4*h - 3. Let r be b(5). Let a(n) = 4*n**3 + 2*n**2 + 4*n. Calculate r*y(v) + 3*a(v).\nAnswer: 2*v**3 + 2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5104427 to the power of 1\/2, to the nearest integer?\nAnswer: 2259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17)*-2*5*4.\nAnswer: -40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**2\/3 + 373*o\/3 - 6090 = 0. Calculate o.\nAnswer: 58, 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -376288044\nAnswer: -376288045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 381608 + -2?\nAnswer: 381606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 381, -41 in increasing order.\nAnswer: -41, -5, 381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -189, -992, -1809, -2646, -3509?\n\"Answer: -w**3 - w**2 - 793*w + 606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -162*j - 666. Calculate l(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - 6 - -20 - (4 + 2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q**3 - 13*q**2 + 6*q - 67. Is y(29) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 817.71 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(119)*-2*-2 + (sqrt(119) - (sqrt(119) - sqrt(119)*-2*-2))))\/(-6*-2*sqrt(7) - sqrt(77)\/(-2*sqrt(11))).\nAnswer: 16*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108429719 and 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -110010110110011?\nAnswer: -110010110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 9*m**2 + 7*m + 19. List the prime factors of u(-6).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*b - 91151 = -359704. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.8038 - 0.0238. Let p = w + 0.22. Let q = -4.2 - 0.8. What is the smallest value in 1, q, p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/15)\/(t\/(((t*t**(-1\/4))\/t)\/t))*(t\/(((t\/(t\/(t\/((t**(-4\/3)*t)\/t))))\/t*t)\/t))\/(t*t**(-5\/4)) assuming t is positive.\nAnswer: t**(-37\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -153 (b) 0.3 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4878 is divided by 574?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/8 or -0.35?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16255 and 100.\nAnswer: 325100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**2 + 2*o**2 + 4*o**2 + (243 - 243 + 21*o)*(-o - o + 0*o + (3*o - 3*o + 3*o)*(-1 + 1 - 1)).\nAnswer: -102*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m - 18 = -5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 350245 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 5*f + 5. Let u be i(2). Is (-1)\/(-4) - u*2177\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -457\/3784 - 2\/473. Put 4\/7, a, 0.2 in decreasing order.\nAnswer: 4\/7, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -18. Put x, 5, -1 in ascending order.\nAnswer: x, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57526 is divided by 62?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -4*m - 0*m - 5*y, -2*m - 5*y = 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12178*h**3 - 10385 wrt h.\nAnswer: 36534*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r - 19. Let j(p) = 16*p - 93. Let t(u) = -2*j(u) + 11*z(u). What is the least common multiple of 17 and t(26)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*z - 12. Let r(i) = 4*i + z*i - 5*i. Let a(u) = -2*u + 5. Let t(g) = 3*g - 6. Let s(d) = -6*a(d) - 5*t(d). What is r(s(v))?\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3239 is divided by 324.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 158 (b) -2230 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -326*f**2 + 2*f + 1056?\nAnswer: -652*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 10 = -6*a. Let p(s) = -2*s**2 + 11*s - 3. Let b be p(a). Solve -2*o = 2*v + 11 + 9, 2*o = b*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -167*p**7\/7 - p**4\/2 + p**3 - 55*p**2\/2 - 65. Find the third derivative of h(o) wrt o.\nAnswer: -20040*o**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27135.07851 rounded to the nearest 1000?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13)\/(-4) + 2\/(-8). Suppose -4 = g - k*a - 2, -3 = -2*g - a. Let p(z) = -z - 1. Determine p(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -16d37 + 1b?\nAnswer: -16d1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/8 and (-470)\/(-24) - 320\/40?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j**2 - j + 4. Suppose 1614 = 4*q + 18. Let u = q - 401. What is t(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -1. Suppose -g - 8 = -4*a, -12 = -21*a + 17*a + 2*g. Let v(p) = 2*p + 20. What is a*v(k) - 3*c(k)?\nAnswer: 2*k + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 584270?\nAnswer: 2, 5, 58427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (220 - (93 - -47))?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194121 is divided by 194085?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*p - 41*p - 35*p - 36*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 44 (b) -1 (c) -3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 389829163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i - 14. Let q be s(6). Let t = -1 - -1.1. Which is the closest to -1? (a) q (b) 0.4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**3 - 12*y**3 - 3*y**3 + (-y**2 - 11*y**2 - 2*y**2)*(2*y - y + 0*y) + (-12*y**2 + 17*y**2 - 61 + 56)*(2*y + 0*y + 0*y).\nAnswer: -18*y**3 - 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710361321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -8. Suppose 0 = -5*n - 2*p + 2, -l*p = 4*n - 0*n - 2. Solve 4*r + 6 = h, h + 5*r + 12 + n = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155941669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9741649 to the nearest integer?\nAnswer: 3121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 - 82 = 5*j, 0 = -4*c + 3*j + 2188. What is the remainder when c is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21424047*r**5 - 2*r**2*t**2 - 80*r*t - 209021*t**2 wrt r?\nAnswer: -428480940*r**3 - 4*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 461, -9, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - 9?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 11:15 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231398 - 57846 + 7*u - 57849 - 57849 - 57854.\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/28 and -41\/56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 = 4*w + 2*m, 6*m - 63 = -w + 3*m. Suppose 5*x = 4*a + 201, -103 = 2*a - 0*a - 5*x. Let n = w + a. Solve -3*c = q - 12, n*q = -0*c - 5*c + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5487 - 5457 + 10941 - 2529*x**2 to g*x**2 + z*x + l and give g.\nAnswer: -2529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*j**2 - 5*j**3 - j + j**3 + j = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/6 (b) -2\/9 (c) -5 (d) 1.0801\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18 or 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 60466896 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: What comes next: 0, 20, 40, 60, 80, 100?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 336728\/11 + -30590. Which is greater: c or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 198 - 138. What is the remainder when q is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 9) + 7 - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 128790841 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86351638 divided by 277658.\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8d - -155?\nAnswer: 1e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 7*j**2 - j - 6. Let r be o(6). Suppose -4*m + r = -48. Calculate the lowest common multiple of m and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, z: 2, i: 1, e: 1, y: 2, p: 3}. Give prob of sequence epz.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33413598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 10*n**2 - 2*n - 6. Let d be j(2). Find the third derivative of -23*o**2 - 55*o**6 + d*o + 27*o - 54*o wrt o.\nAnswer: -6600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**2 + k. Let w be g(1). Let q be 3\/(-1 + 10\/w). Suppose 3*z - 185 = -q*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 653\/5 - (-6)\/(-10). Suppose 4*v - q = -v. Suppose 0*r + v = 2*r. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367828461 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 49*u - 727. Let v be c(15). Solve 19 = v*p - 13 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120183 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/35)\/((27\/(-21))\/(560\/392)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y**2 - 1923*y - 142257. Determine g(-62).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1473 - 1474. What is the closest to s in -2\/5, -1\/3, 2528, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-234 + 465 - 240 + (-1 + 4 - 1)*(1 + 0 - 3))*(3*k**5 + 2*k**5 + 0*k**5).\nAnswer: -65*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19462*q**5 + 104821*q wrt q?\nAnswer: 389240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -33*m + 2. What is the remainder when x(-1) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (24 - 28) + 539\/(0 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 423589663?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 3, 959, 4, -5, -2 in increasing order.\nAnswer: -15, -5, -2, 3, 4, 959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3410 (base 8) in base 13?\nAnswer: a86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18998 or -19826?\nAnswer: -19826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -305*u + 91. Determine b(2).\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/3)\/(-3 + -2))\/(162\/2430)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 112062, 224112, 336162, 448212, 560262?\n\"Answer: 112050*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/14)\/((-16)\/(-7))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u + 26. Let f be g(-20). Suppose -2*v + 3*d + 26 = 0, 2*v + 3*v + d - 31 = 0. Solve -4*q - f = -v*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4251, 5, 4, -2, -5 in descending order.\nAnswer: 4251, 5, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9328?\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 433321 (base 5) to base 4.\nAnswer: 3213310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4214*k - 4599*k = 8855 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -22. Let n(b) = -10 + 9 + b**2 + 4*b - 3 + t*b**2. Let l be n(-5). Which is greater: 50 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -4*q + 55, 5*l - 1357 = -260*q - 92 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2)*(-4)\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 6*r**2 + 5*r - 13. Let h be j(-7). Let y be h*5*77\/(-55). Let n(a) = -a**2 - 24*a - 43. Let o be n(-22). Sort o, y, -5, 2.\nAnswer: y, -5, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 2*a = -8, 0*g + 4*a = 5*g - 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*-38*2\/(-4). Suppose -4*q - 64 = -4*r, -2*r = q - 19 - j. Suppose r = 2*x + 3*w, 0*x + x = w - 1. Solve o - 9 = -4*n, 27 = -5*o + n + x*n for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 11. Give w(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*x + 2 - 4*x)*(-4 + 1 - 1)*(149 + 213 - 76).\nAnswer: 1144*x + 1144","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37219573.900143 - 37219540. Let b = -33.9 + m. Round b to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/5 (b) 0.13 (c) 0.005 (d) 3.2 (e) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 889752357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(3\/2))**(-46) assuming o is positive.\nAnswer: o**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -7\/97?\nAnswer: -7\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1442312586 and -0.3.\nAnswer: 1442312585.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12 or -104\/9?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -44*z + 10. What are the prime factors of x(-4)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.079241 - -5378326575?\nAnswer: 5378326574.920759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 2\/7*y**4 + 0*y + 0*y**2 + 0*y**3 - 2\/7*y**5 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/2 of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6a9 + 3?\nAnswer: 6ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -7) + -30 + 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -561137 - 121.018.\nAnswer: -561258.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 1802402.3523 and 305.6.\nAnswer: 1802707.9523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 8. Let r = 116 - 111. Let a be n(r). What is the second derivative of 9*l**3 - 21*l - 6*l**3 + 11*l**3 + 14*l**a wrt l?\nAnswer: 168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v + 35. What is the remainder when 190 is divided by p(4)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 52*m - 96.\nAnswer: -2*(m - 24)*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376331796.\nAnswer: 2, 3, 23, 454507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -436.8 + 432. Let c = j + 4.799946. What is c rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -91 - -3219. What are the prime factors of y?\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {s: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15553498 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/4)\/((-75)\/5))\/(13\/(-26))*5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 4 + (-3 + 4 - 3)*(0 + 2 + 0))*(-9*o + 2*o - 5*o) as j + d*o and give d.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) 1413 (c) -2\/7 (d) -1 (e) -4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/14)\/((-5)\/(120\/54))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 782090 divided by -782090.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l**2 - 149 + 623 - 161 - l - 313.\nAnswer: 12*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (40\/(-25))\/(4\/(-10)). Calculate the greatest common factor of k and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/26))**(13\/5)\/(y**1*y*y*y\/(((y*y**(-2\/9))\/y*y)\/y)*y) assuming y is positive.\nAnswer: y**(-461\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 3, -111, -5.\nAnswer: -111, -36, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - x**2 + x + 1. Let f(q) = 8*q**3 + 16*q**2 - 10*q - 10. Calculate -f(a) - 10*u(a).\nAnswer: 2*a**3 - 6*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/((p*p**3*p)\/p))**(-1\/3))**48 assuming p is positive.\nAnswer: p**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 170375 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-11481)\/(-9) - (8\/20)\/(12\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/33 in 1\/3, -1\/7, -2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 391581308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (-3)\/(-7) + (-501)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 384598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(-14)\/(-42)*1*-15. Put 10, -3, 40, o in increasing order.\nAnswer: o, -3, 10, 40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -6 = -4475\/986?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from zurruuzzzun.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.4, 3, 72, 12.\nAnswer: -5, -0.4, 3, 12, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(187) - (sqrt(187)*-1 - sqrt(187))) - -6*(sqrt(187) + 2*sqrt(187)))\/((sqrt(110) + (sqrt(110) - -2*sqrt(110)*3))\/sqrt(10)*-1).\nAnswer: -27*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8478 divided by -42\nAnswer: 1413\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 minus 26360?\nAnswer: -26472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7277943?\nAnswer: 3, 2425981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8817.86*-0.02\nAnswer: 176.3572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 23, 36, 49?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + -110000011111010?\nAnswer: -110000100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.033 and -0.0498.\nAnswer: -0.0828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (87\/(-406))\/((-27)\/(-12)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -7*i**2 - 63*i + 739. Give k(-16).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.3183335 days?\nAnswer: 27504014400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3 = 0, 3*i - 24*x = -22*x + 1194. Calculate the remainder when i is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -8*l**3 - 9*l**2 - 15*l - 4. Let q = -93 + 90. What is the tens digit of t(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1180.998 + -1181. Sort z, 2, 0.5.\nAnswer: z, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2747.03337 to zero decimal places.\nAnswer: 2747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*p - 97 + 79 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - 1 - -6)\/3. Solve a = -2*m - 2*m - 20, n + 4*m = -16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*(b*b**7*b)\/b*b)**0\/((b\/b**(1\/8))\/(b*b*b**(-1\/2))) assuming b is positive.\nAnswer: b**(5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - p**2 - 2*p + 3. Let f be 1\/(-5) + (-26)\/(-5). Suppose f = 4*n + 2*s + 1, 4*n = -4*s. Let o be x(n). Is o > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 4*i**5 + 304*i**4 + 4836*i**3 + 11864*i**2 - 1168*i - 15840 = 0?\nAnswer: -55, -18, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 6. Let t be u(4). Is (t - 345)*(-1)\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -2, -5, 74, 3, 630 in decreasing order.\nAnswer: 630, 74, 46, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g, -2 = -l + 12*g - 13*g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*s + 5*q, 4*s - 3*q + q - 16 = 0. Suppose -k + 7*d - 12 = s*d, 4*k = -4*d + 12. Let w be 0 + 0 - (k - -2). Solve w = o + 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.049, -4\/5 in decreasing order.\nAnswer: 0.2, -0.049, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*b**3 - 36*b**3 - 31*b**3.\nAnswer: 26*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3593 - 0?\nAnswer: 3593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2ca (base 14) in base 9?\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*-3 + 4 - (0 + sqrt(28) + sqrt(7))**2.\nAnswer: -59 - 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 1)*(4 + i + 2 - 2).\nAnswer: -5*i - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.513 + 0.013. Let y = -1.25 + 0.25. Let z be (-6)\/24 + 18\/8. What is the nearest to y in 0.05, z, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 5. Let l = m - -9. Let x(u) = u**2 - 9*u - 36. Let q be x(-3). Which is the nearest to q? (a) l (b) 4\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1089*1 + -3 + -2 + 3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1058\/3399 + 40\/309. Which is the smallest value? (a) n (b) 5\/2 (c) 3\/2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 at least 1433196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -g**2 + 9*g*t**2 + 2*g + 193*t**2 wrt g.\nAnswer: -2*g + 9*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*s + 64 = 0. What is the remainder when -12 - 435\/(-6) - 2\/(-4) is divided by s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.019254365 to four dps.\nAnswer: 0.0193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5472*b**3 - 104279*b wrt b.\nAnswer: 32832*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 23 = -4*s, 3*s + 2*d = d + 11. Suppose 3*w + s = -f, -2*w - 3*w - f - 6 = 0. Sort -2\/7, w, -10.\nAnswer: -10, w, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/37 or 11?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -446*y**2 - 881*y + 2. Give s(-2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t. Let i(r) = -365904 - 2*r + 367705 + 3*r + r. Determine b(i(s)).\nAnswer: 6*s + 5403","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avvv when four letters picked without replacement from {v: 18, a: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -457\/2154 or 1?\nAnswer: -457\/2154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (0 + sqrt(363) + (sqrt(3) - (sqrt(48) + -2 - sqrt(3))) + 1 + sqrt(243) + 1)*-2)**2.\nAnswer: 504*sqrt(3) + 3937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 102426083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/5)\/((-2)\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2867448?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1\/(l*l**1)*l**3\/((l\/(l\/l**(-2)))\/l))\/((l*(l*l\/((l*l*l*l**(-2\/9)*l*l)\/l))\/l*l)\/(l*l**(-1\/2)))**2 assuming l is positive.\nAnswer: l**(68\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19081955*y**3 - 746*y + 51052 wrt y?\nAnswer: 114491730*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w. Let j be s(-2). Let t(d) = j*d**2 + d + d**2 + 10 - 2*d**2 + 0*d**2. Determine t(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -985, -1969, -2953, -3937, -4921?\n\"Answer: -984*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 0)*(2 - (-5)\/(-2)). Let t be (-1 + b\/(-3))*(3 + -6). Solve -t*n + 5 = 3*q, 2*q - 10 = 4*q + 4*n for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/9 and -1*((-1272)\/(-279))\/8.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 12*g**2 + 4*g - 27. Let s be i(-11). Suppose 0 = -6*z + 4*z + s. Solve -5 = -5*x - z for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 2*l**7\/3 + 4*l**3\/3 + 3*l**2\/2 - 11*l. Find the second derivative of r(i) wrt i.\nAnswer: 560*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 11*o + 1. Let s be i(1). Suppose 5*u = u + s. Suppose 4*t + 2 = u*t, -r + 3*t = -11. Which is the smallest value? (a) 2 (b) r (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6476 + 6480. Factor 0*n + 0 + 0*n**3 - 1\/4*n**2 + 1\/4*n**i.\nAnswer: n**2*(n - 1)*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 0, -2*z - 2*x = -40053 - 7947. Suppose q + q = z. What is q rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x + 3. Let d be f(-5). Suppose -l = 2*j - d, 0 = -4*j + 5*l + 23 + 5. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20089.3 to the nearest one hundred.\nAnswer: 20100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -671.4, -178, -0.1, 0.1 in ascending order.\nAnswer: -671.4, -178, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6071 (base 8) to base 15.\nAnswer: -dd9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/(-3))\/(2\/6). Let r be (3 - (1 + 1))*v. Solve 2 + 3 = -r*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 531 is divided by 2*10\/5*13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -i + 6*i - 5*u, -u = 0. Suppose 2*q - 4*y = i, 10 = -q - 0*q - 5*y. Solve q = -2*k + 5*p - 4, 2*p - 4*p = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j. Let p(k) be the second derivative of k**6\/720 - 7*k**5\/24 - 35*k**4\/12 - k. Let s(z) be the third derivative of p(z). Determine y(s(h)).\nAnswer: 2*h - 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w**3 - 3*w**2 + 2. Let y(c) = c**3 + 23*c**2 + 40*c - 43. Let d be -21*(3\/(-8) - 176\/(-128)). Let u be y(d). Determine b(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48789 and 216567.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*k - 21 = -3*g - 110*k, 3 = -3*g + 4*k for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 6*k**2 - 2. Let m(l) = -1 + 0 - l - 2*l + 4*l. Let c(z) = 3*z - 2. Let d(v) = -2*c(v) + 4*m(v). What is d(q(b))?\nAnswer: -12*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 4*u + 24, -94*v + 97*v = -19*u - 39 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -451, -414, -353, -268, -159?\n\"Answer: 12*w**2 + w - 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30259 + -19296. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 53 - 425*o**3 + 33 - o**2 to w*o**2 + k*o + l*o**3 + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -g + 4. Let c be ((-5)\/2)\/(1\/g). Suppose c*h = -2*d + 165, 8*d - 25 = 3*d. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -75*j - 586. List the prime factors of k(-51).\nAnswer: 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-4 - -35) - (-25 + 56 - 37)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -13 + 17. Let i(b) = -b**2 + 2*b + 3. Let n(u) = u**2 - u - 1. Calculate g*i(r) + 3*n(r).\nAnswer: 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 1\/549774?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 3, -2\/3, 5, -5 in descending order.\nAnswer: 5, 3, -2\/3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61718.\nAnswer: 2, 30859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 101*d - 18. Let g be q(-2). Calculate the common denominator of 73\/24 and (48\/(-8460))\/(8\/g).\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -408242*m**2 - 2*m - 1214033 wrt m.\nAnswer: -816484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**3 - l**3 - 54*l - 2*l**3 - 4*l**3.\nAnswer: -4*l**3 - 54*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -737\/5 (b) -5.7 (c) 7 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -4. Let b = 24 - d. Suppose 4*u = -o - 8, b = -4*o + 23. What is the nearest to -1 in 3, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 355772766 to the nearest integer?\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a minute in milliseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184269620, 184269619, 184269618?\nAnswer: 184269617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + 95*y**2 + 15*y - 1432. Determine r(95).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, 0.5, 39831 in decreasing order.\nAnswer: 39831, 0.5, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 49*i**3\/6 + 45*i**2 - i - 47. Find the first derivative of h(c) wrt c.\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4340374 is divided by 276?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 10 = 0, -5*j = 79204*k - 79237*k + 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**2 - 41*s + 24*s + 20*s + (3 - 3 - s)*(-2*s - s + 4*s) - s**2 + 0 + 0 + (-2 + 1 - 1)*(7*s**2 - s**2 - 4*s**2) to r + x*s + i*s**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, 67, -14, -3, 7, -1 in ascending order.\nAnswer: -14, -6, -3, -1, 2, 7, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -177, -261, -341, -417, -489?\nAnswer: -557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(-55))\/((-88)\/20)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/(-3) - (-15)\/(-3)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 18 = 5*v - 12, 0 = 3*n + 3*v - 30. Let z = 8 + -6. What is the smallest common multiple of n and 2 - (-4 - (-2)\/z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0345 + 9.0345. Sort -10, n, -1\/2, -4 in ascending order.\nAnswer: -10, -4, -1\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -516 - -1015. List the prime factors of g.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105456345 divided by 15.\nAnswer: -7030423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.5 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102120002 (base 3) to base 4.\nAnswer: 2003222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 266, 263, 260, 257?\n\"Answer: -3*a + 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-28)\/224)\/((-1)\/(-8)). Let n(l) = -18*l**2. Determine n(d).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 871.5786 - 599632.\nAnswer: -598760.4214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3786)\/(-3))\/(0 - 6\/(-3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -3*d - 5, -1481 = 3*q + 5*d - 1449 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1273, 2543, 4509, 7183, 10577?\nAnswer: 14703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-3)*(-10 + -2). Sort v, 8, -5.\nAnswer: -5, v, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 6*q**2 - 8*q - 5. Let y be s(-7). Suppose 12 = y*b - 4*b. Let a(w) = 2*w + 4. Give a(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/9*(15\/(-6))\/(2835\/243)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -313.32 - -299. Let f = -14 - z. Let g = -0.02 + f. Which is the smallest value? (a) g (b) -2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, x: 4, p: 10}. What is prob of sequence xzz?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 42534 less than 4?\nAnswer: -42530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8018.52 millennia?\nAnswer: 801852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2 + 3*p + 7. Let j(f) = -f**2 + 2*f + 4. Give -4*a(x) + 7*j(x).\nAnswer: x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -133350316 (base 7) to base 3\nAnswer: -121021111220001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2681*j**3 - 805 - 488 + 2683*j**3 + 1293.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*u**4 + 116*u**3 - 52*u**2 - 228*u - 36 = 0 for u.\nAnswer: -1, -1\/6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 + -33. Suppose m = 12*j - 13*j. Solve 0*d = 3*d - 5*s + 1, -2*s - 2 = j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -182668932 divided by -45667233?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -3 (b) 1\/3 (c) -62 (d) 111 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: -312163*34\nAnswer: -10613542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 8926.677 times -64\nAnswer: -571307.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 9*a - 1 - 4 + (-5 + 1 + 5)*(a - 2*a + 0*a) - 10*a + 7*a + 10*a to b + n*a and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80 + 3289\/44)*(-32)\/12?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/9)\/(63\/54)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -37*r - 318. Let u(s) = -68*s - 639. What is 11*m(p) - 6*u(p)?\nAnswer: p + 336","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433132.\nAnswer: 2, 7, 31, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 980884 to the power of 1\/2, to the nearest integer?\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -n. Suppose -n*j + j + 5 = 0. Calculate the remainder when 14 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1150888640.\nAnswer: 2, 5, 11, 31, 53, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 723 - 716. What is the remainder when 31 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139840.\nAnswer: 2, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11526497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 + -3)\/(2\/(-3)). Let n = m + 5. What is the first derivative of n*u**3 + 0*u**3 - 1 + 0 wrt u?\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5491143 (base 10) to base 11.\nAnswer: -3110639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of b**2 - 1 + 2*b + 1\/6*b**3 - 1\/4*b**4. Let m(f) be the first derivative of i(f). Suppose m(p) = 0. Calculate p.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*k - 5*v, 0*k - v = -2*k. Let y(p) = 3*p - 13. Let d(i) = i - 6. Let m(f) = 9*d(f) - 4*y(f). Give m(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*m + 153 = 0. Let a = 45 + m. Let k = -1.9 - -2. What is the third biggest value in a, k, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h**(-1\/2)\/h)\/h*h)\/h)\/h)**(2\/13))**(1\/5)\/(((h**(-2\/9)\/h)\/h)\/(h\/((h\/(h*h**(2\/7)*h*h))\/h)))**(10\/7) assuming h is positive.\nAnswer: h**(263413\/28665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 135.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - t = -x + 1, -5*t = -x - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(132))\/sqrt(12)*3*1 + -4.\nAnswer: -4 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1438, 1443, 1442, 1435, 1422?\nAnswer: 1403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 5*l**2 + 5*l**2. Let s(q) = 24*q - 83. Let z be s(7). Let j(b) = -z*b**2 - 82*b**2 + 163*b**2. What is j(r(u))?\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 140705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 14404347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kf when two letters picked without replacement from efffefkkeeeeekeeee.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175 + 109 - 60 - 53 - 171 - 5*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 + 1032?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -14\/46465?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 549588?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -87.5 + -8.5. Let c = w - -91.5. Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4695 - 4698. Sort 63, 0, 5, y.\nAnswer: y, 0, 5, 63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from wwdwwdwwwd.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n + 27 - 7 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of g**5\/20 + 5*g**4\/4 + 2*g**3 - 5*g**2 + 44*g. What is the remainder when 68 is divided by o(-14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46 by -1.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 1 + (-8 - -15) - 11\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0707 + -9.2253. Round a to 1 dp.\nAnswer: -9.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3170596*7\nAnswer: -22194172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(912) + sqrt(57))\/sqrt(3).\nAnswer: 1 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6 times 1.04\nAnswer: 6.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 63*v - 48. Let a be d(-14). Let c = a + -623. Calculate the remainder when 41 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*5*1*31\/(-31)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**3 - 800*b**2 + 21076*b - 20280 = 0.\nAnswer: 1, 30, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*a**2*p**2 + 5366*a**2*p + 57*a*p**2 - 4*a*p - 4*p**2 wrt p.\nAnswer: 8*a**2 + 114*a - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19 - 16815?\nAnswer: -167b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228\/(-2 + 5)*26\/8.\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -300 and -7052191.\nAnswer: -7052491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 32\/(-60) - 1\/(-5). Which is the nearest to h? (a) 1\/5 (b) 0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f*u**3 - 6*f*u**2*y - 5*f*u*y + 40*f*u + 46*u**3 - 9*u**2*y + 8*u*y wrt u.\nAnswer: -6*f*u - 12*f*y + 276*u - 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 4*w**2. Let t(v) = 464*v**3 - 461*v**3 - 2*v + 2*v - 25*v**2 + 8*v**2. Let k = 0 + 2. Suppose -r - 27 = -4*r. Determine k*t(p) + r*l(p).\nAnswer: -3*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49921 + -49922. Let x = -84.57 + 1.57. Which is the second smallest value? (a) x (b) 1\/2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -81 - -86. Suppose 0 = -t*j + 2*d + 32610, -2*j - 3*j = -d - 32610. Suppose -3*c = -15, 4*c = -3*w + w + j. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 348892 divided by 5\nAnswer: 348892\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1469 + 4534 = 5*d. Let r be -1 + d - 0*8\/72. Let q = r - 345. Does 34 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -893 - -1021. Is v a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*p + 3)*(-p - 3*p + 5*p)*(9 + 3 + 25).\nAnswer: -74*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 475 + -481. Let s(g) = -4112*g + 61. Is s(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 * -651.3\nAnswer: -6513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149 + 312 = 17*x - 168 for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 66, -438, -1742, -4248, -8358, -14474?\n\"Answer: -67*c**3 + 2*c**2 - 41*c + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uq when two letters picked without replacement from qqqquqquyqqyqqy.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/2*(-51)\/255.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 2291 + 1054. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/2*(-14)\/(-7). Let s be ((-4)\/n)\/(5\/150). What is the remainder when 31 is divided by (-7)\/(-3) + (-8)\/s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 36*i + 54. Calculate x(37).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -231, -233, -237, -243, -251?\n\"Answer: -q**2 + q - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.94278 - 22.66343.\nAnswer: -23.60621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 850 and 3725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 9*m**2 + 2*m - 3. Let v(z) = 27*z**2 + 5*z - 8. Let f(h) = 3*h**2 + 69*h + 8. Let x be f(-23). Give x*n(d) - 3*v(d).\nAnswer: -9*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(175) + 1)**2 - ((0 + sqrt(175))*6)**2) + (sqrt(175) - (sqrt(175) + (2 + sqrt(175))*-6 + sqrt(175)))*-5.\nAnswer: -6181 - 145*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**3 - 29*p**2 - 240*p + 6. Give t(-6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 5:02 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 111*r - 458. What is the hundreds digit of m(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37\/15 - -9\/5. Let r = 10 - 7. Let z be 2\/((r - -2) + 0). What is the nearest to z in c, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k + 2. Let b(q) = -7*q + 4. Suppose -x + 4*x + 5*p = 0, 0 = -x - 2*p - 1. Determine x*a(y) - 2*b(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -34445*v**3 - 3*v**2 - 5*v - 3. Let l(d) = -9*d - d**2 + 1 - 5*d + 7*d - 4. Let c be l(-7). Let p be t(c). What is p rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -390*h - 105. Is 63 a factor of g(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-448)\/(-10) + 16\/80. Suppose 0 = -w*c + 37*c + 416. Is 19 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -396*a + 89109. Calculate j(218).\nAnswer: 2781","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 2*l - 1. Let w be c(3). Let a = 9 + -7. Solve 0 = -2*q - 4, -a*f + 5*q + 0 + w = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25922.19 and -6?\nAnswer: 155533.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13091040 divided by -90.\nAnswer: 145456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 5906\/5, 285?\nAnswer: 5906\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -346998*b - 2775929. Determine r(-8).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 467748283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**3 - 9*j**2 + 5*j + 15. Let w(l) = -3*l**3 + 17*l**2 - 10*l - 29. Let i(u) = 5*c(u) + 3*w(u). What is i(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 7*d + d)*(-6 + 1 + 1 + 0 - 1 + 0 + (0 - 1 + 0)*(-1 + 3 - 3)).\nAnswer: -20*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4425 + 7318. Suppose 0 = -3*u + 3*d + 8649, -u + 4*d = d - z. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(1\/6)\/j))\/j**(1\/2)*j\/(j\/(j\/j**9)*j)*j**(-5) assuming j is positive.\nAnswer: j**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*u + 204 - 204 as r*u + h and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 187 + -139. Let c be (0 - q\/8)*(-29 - -2). Round c to the nearest 10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4237? (a) 3\/7 (b) -1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10634 - -217.38?\nAnswer: -10416.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1399 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 - 403420*i**2 - 38762880*i - 930585600.\nAnswer: 5*(i - 80780)*(i + 48)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zczzzczzzxzzkzxzzzxc. What is prob of sequence xk?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 14 (b) 7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5774188, 5774189, 5774190, 5774191, 5774192?\nAnswer: 5774193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of 0 - 1\/18*u**4 - 3*u**2 + 0*u - 1\/90*u**5 - 1\/9*u**3. Suppose r(y) = 0. What is y?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 190 and 476930?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -23*d**3 - 2*d**2 - 3*d - 2. Suppose 5*m + 21 = 16. Let w be p(m). Suppose 5*g - 72 = 33. Are w and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 100*b - 1019 + 819 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 1\/28, -3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2177)\/1244*(-10)\/(-15)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 174*k = 176*k + 8, -20 = 5*k for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -551503 or 10?\nAnswer: -551503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -3\/5, -1.3.\nAnswer: -1.3, -3\/5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-432)\/(-15) - (-1)\/5 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (-4 - (10 - 7)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(171) + -1)*-3 + (sqrt(171) - (0 + sqrt(171))) + 1))**2.\nAnswer: -648*sqrt(19) + 13995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 8*q**3 + 2*q**2 - 3*q. Let o = -11 - -13. Calculate the remainder when n(o) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4706 = 249*g - 14666 for g.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*x - 2*x + 4, -18 = -5*m - 4*x. Let o(j) = 2*j + 1. Determine o(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -c**5\/690 + 8*c**2. Find b such that v(b) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 162 + -161. Which is smaller: c or 2\/1533?\nAnswer: 2\/1533","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -72 + 84. List the prime factors of -3 + t*(195\/(-6))\/(-5).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-28) - 696\/(-336). Suppose 3425 = 3*b - p*r, -26*r = 2*b - 24*r - 2300. List the prime factors of b.\nAnswer: 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3*-2*sqrt(1900))**2.\nAnswer: 240*sqrt(19) + 68404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + ((-594)\/12)\/(-11)*-2 - -2?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42174\/13 - 3244. Which is the second smallest value? (a) 37\/4 (b) 3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54480 and 35.\nAnswer: 381360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2327.9 - -2328. What is the nearest to a in -0.2, 47, -1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/19 - -249\/38. What is the common denominator of -40\/3 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-90) + 7\/60)*(-24)\/(-18)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jqyzzuyzuyzzquuyydu. Give prob of picking 1 u and 2 z.\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 4574?\nAnswer: 9148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**3\/6 + 5*m**2\/2 - 9*m. List the prime factors of z(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -1764*o + 1764*o + o**2. Let y(p) = 5*p - 9. Let t(z) = z - 2. Let i = 9 - 18. Let b(w) = i*t(w) + 2*y(w). Give b(j(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 6*m**2 - 2*m + 16. Let u be r(3). Suppose 10*y = 14*y - u. Let t(n) = -5 - 5*n - 5*n - 5*n + y*n. Let d(w) = 2. Determine -5*d(x) - 2*t(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 229\/916*(-8)\/(-7).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 11*t**3 + t + t + 14 - 15. Calculate l(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*a + (-1 + 0 + 3)*(0*a + 3*a - 5*a) - 406670*a + 406669*a + 2375 - 17999.\nAnswer: -7*a - 15624","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 34*b - 4. Let t(k) = -18*k + 2. Calculate -6*a(s) - 11*t(s).\nAnswer: -6*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1831*z - 5*z**3 - 470*z**2 - 566*z - 319 - 316 - 155*z**2.\nAnswer: -5*(z - 1)**2*(z + 127)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16446*o + 1643*o + 12360 - 12360 in the form u + y*o and give y.\nAnswer: -14803","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-185)\/(-740))\/((-22)\/(-1312)) - 16.\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 25.4?\nAnswer: -24.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(6*(sqrt(2736)*-1 + 0))**2.\nAnswer: 196992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1262.2 - -1262. Put 97\/2, -2\/3, w in increasing order.\nAnswer: -2\/3, w, 97\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.78 + 0.48. Let i = 0.6 - 3.6. Let l = u - i. Which is the nearest to 1\/5? (a) -3\/2 (b) l (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*c - 2)*(7*c**2 + 8*c + 4*c - 6*c**2).\nAnswer: -3*c**3 - 36*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*c**3 - 37*c**3 - 25*c**3.\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-33*d**2 - 77*d**2 - 38*d**2)*(-2 + 1 + 2 + (4 - 2 - 3)*(-1 - 2 + 1) + 1 - 4 + 2)*(0*d - 2*d - d) to the form i + g*d**3 + j*d + l*d**2 and give g.\nAnswer: 888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/6)\/n**(-8)*n**(2\/9)*n*n*n**5\/n*n assuming n is positive.\nAnswer: n**(271\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -523 - -2?\nAnswer: -521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 5*q**2 + q + 2. Let n be (5\/(-2))\/(5\/10). Let o be v(n). Let g = o + 12. What is the least common multiple of g and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f - f + 0*f + 1184*f**2 + 259*f**2 in the form c*f + y*f**2 + t and give y.\nAnswer: 1443","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.396 - 433.396. Let j = -408.7 - f. Round j to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-6) - 2\/4. Suppose 4*q = 6 + 10. Determine p so that s + 3*p**2 - 13 + 16*p - 6*p**2 - q*p = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(-17)\/c)\/c)\/c)\/c**14*c**16*c**(-6))**(-20) assuming c is positive.\nAnswer: c**480","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*q + 15, 14 = w - 4*q. Factor -b**3 + b**3 + b**3 + 0*b - 3*b - w.\nAnswer: (b - 2)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*6*(sqrt(363) - (-1 + sqrt(363)))*-5)**2.\nAnswer: 14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39732 and 9030.\nAnswer: 198660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**2 + 232*x = 0. What is x?\nAnswer: -58, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f - 6. Let b be u(4). Let n(g) = 5*g**2 + 7*g. Let j = 16 - 61. Let h be (-3)\/(16 - 1) - (-621)\/j. Let l(c) = -c**2 - c. What is b*n(t) + h*l(t)?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k = 3*k + 635. Let f = -732079\/5760 + -9\/640. Let r = k + f. What is the common denominator of r and 14\/29?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64\/9, -25, -3, -4\/5 in ascending order.\nAnswer: -25, -3, -4\/5, 64\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t**3 + t**2 - 5*t + 6. Suppose -z + 18 = 3*y, 6*z + 3*y = 3*z + 24. What is the lowest common multiple of 4 and c(z)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508620 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -201232 or -201233?\nAnswer: -201233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -7*u**2. Let n(p) be the second derivative of p**4\/3 - 493*p. Let k(q) = 2*q - 3. Let z be k(3). Calculate z*o(g) + 5*n(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69 + -64. Suppose 2*j + 2*p = 574, -1435 = -5*j + p - w*p. Does 41 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 780086?\nAnswer: 2, 390043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -50, -101, -152, -203?\n\"Answer: -51*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25756225.\nAnswer: 5, 11, 73, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from belwzbblb. What is prob of sequence leb?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79477*a**2*q**2 + 26*a**2*t**2 + 7*a*q*t**2 - 42*q**2*t**2 + 1551*q*t wrt q.\nAnswer: 158954*a**2 - 84*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from ueueeeueeee.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-15)*561\/(-748).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 85*d*p**3 + 218665*d*p*t**3 + 2*p**3*t**3 + 340*p**3*t**2 + 10037*p**2*t**3 - 2*p*t**2 wrt d.\nAnswer: 85*p**3 + 218665*p*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 8. Let c = 2 - 7. Let m(j) = -j - 15. Let d(h) = c*r(h) - 3*m(h). Find the first derivative of d(z) wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -6) + (16 + -4 - 13)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 4*d - 90. Calculate the remainder when d is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 - -54. Let m be (366\/21 - -4)\/(l\/(-14000)). Round m to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(89\/(-178) + (-14)\/(-20))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) 0.2 (b) -343 (c) 2\/67 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198, -719, -1588, -2805, -4370, -6283?\nAnswer: -8544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1824*k + 39168 = -914*k - 902*k. Is k a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14838 + -29673\/2. Determine n so that f*n + 3\/4*n**2 + 3\/4 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 8 = 13*b - 26. Solve 62*r - 61*r = -2*z + 6, -18 = -2*z - b*r for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence adao when four letters picked without replacement from daaoada.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-468)*-27*2\/(-6)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o - 60 = -82. Let h(d) = d**3 - 5*d**2 + 3*d - 5. Let x be h(6). Solve o*b = -x + 45 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 r when four letters picked without replacement from {n: 1, h: 2, p: 2, k: 1, r: 2, m: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 5, -1, 6 in ascending order.\nAnswer: -8, -1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-15) - 385\/(-75). Suppose 0*f + m*o = f + 70, 20 = 4*o. Let h be (1\/(-3))\/(140\/f + 3). Solve -h*v = 5*p + 23, -5*v - p = -2*p + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -8*y + 77. Let b be c(10). Does 19 divide -1644*b*(-2)\/(-12) + -5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -201*w + 923 wrt w?\nAnswer: -201","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3780 - 8940 = 0. Suppose -v + 3*x = -3144, 4*x - o = -3*v + 6187. Is v\/14*4\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 27 - 163124*h.\nAnswer: -163124*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 10:01 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3577*h + 2*h**2 - 3577*h.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 16*a - 32*a + a**2 + 15*a + a**3. Let v(d) = d**3 - 2*d**2 + 2*d + 1. Give -v(m) - 2*w(m).\nAnswer: -3*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3562 or -245714\/69?\nAnswer: -245714\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**3 - 6*g**2 - 8*g + 2. Let u(k) = 5*k**3 + 17*k**2 + 23*k - 5. Let d(o) = -8*l(o) - 3*u(o). Give d(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7220, 7237, 7274, 7337, 7432, 7565, 7742, 7969?\nAnswer: 8252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 - ((-26 - -6) + 6)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/2)\/((-3)\/(39\/26)) - 8\/184?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*k + 48 = 0. Let q(j) = 129*j + 1. Let a be q(-1). Let u = k - a. What is the greatest common divisor of 16 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 265 and 6.\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a + 31 + 3*a**4 - 31 + (a**4 - 2*a**4 + 0*a**4)*(-1 + 2 - 2) - 2*a**4 + 0*a**3 + 0*a**3.\nAnswer: 2*a**4 - 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -645863\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48010 and 380.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-14)*(-280)\/80?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 0*q**5 + 0*q + 0*q**4 - 29\/6*q**3 - 34*q**2 + 13\/120*q**6 + 0. Differentiate d(i) with respect to i.\nAnswer: 39*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 18 - 3*k - 16 + 5*k + 0*k.\nAnswer: 6*k - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**2 + 11748496*p - 11748496*p.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhqh when four letters picked without replacement from {q: 2, h: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 2:28 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(4000))\/(sqrt(40)\/sqrt(5)*6).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p - 6 - 4*p + 3*p + p. Let s be f(5). Solve -3*o + 2 = -s for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -x**4\/4 - 2*x**2. Let z(b) = -16 + b - 9*b + 16 + 0. Determine o(z(a)).\nAnswer: 48*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9777726, 19555449, 29333172?\n\"Answer: 9777723*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3843.449 millennia in decades?\nAnswer: 384344.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 + 21455*t + 42890.\nAnswer: 5*(t + 2)*(t + 4289)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = 4*u - 5*d, 2*d = -d - 3. Let f = u - -33. Suppose 3*z = 2*z - 2*c + 691, 2*z - f*c = 1427. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5976 = 33*b + 5910. Solve -489 = b*l - 485 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3\/113 + -259\/1243. What is the nearest to p in -0.5, 7, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**2 - 4*z + 5. What is the tens digit of u(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -853754*l**5 - 56*l**4 + l**2 - 105524*l + 43 wrt l?\nAnswer: -51225240*l**2 - 1344*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v - 10. Let m(g) = -9. Let b(i) = 7. Let k(s) = -4*b(s) - 3*m(s). What is -10*k(z) + r(z)?\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**3 + 468*s**2 + 20898*s - 798768 = 0.\nAnswer: -129, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/4)*q*q**1*(q*(q*q**(2\/7))\/q)\/q*q**(-2\/3)*q)**(29\/2) assuming q is positive.\nAnswer: q**(6989\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 420 and 24.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**3 + 90*m**2 - 383*m + 59. Determine f(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -5*a**5\/6 - 485*a**4\/6 - 3595*a**3\/3 - 15680*a**2\/3 - 6080*a\/3 + 25600\/3 = 0.\nAnswer: -80, -8, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/7*(10 + -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4284*l**2 - 63*l - 10 wrt l.\nAnswer: 8568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*w + 311 = 949 + 797 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92080714?\nAnswer: 2, 11, 137, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**2. Let i = -5 - -8. Suppose 4*x = 29 - 5. Let d(z) = -i*z + x*z + 0*z. Give j(d(l)).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -477, -380, -269, -138, 19, 208, 435, 706?\n\"Answer: b**3 + b**2 + 87*b - 566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (42\/(-4) + 0)*(-130)\/15. Let h = -85 + c. Suppose -175 = -h*i + 47. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/11 + 53\/11. Suppose -24 = b*n - n. What are the prime factors of 1\/((-42)\/(-5484)) + n\/(-14)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/8*1*144\/(-216)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111111 + 1002?\nAnswer: 112113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9.6 (b) 0 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 11*r**2 + 12*r - 6. Let a be q(10). Is -28*(-6 + 64\/a) a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 9:42 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 5, 12, 0 in decreasing order.\nAnswer: 12, 5, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1442789 is divided by 33552?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.05 - -0.05. Let s(j) = 26*j + 25. Let r be s(-3). Let v = r - -53. What is the nearest to v in 0, 4, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77321386.\nAnswer: 2, 2861, 13513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9809 >= 9814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*j - 1980 = -6*n, 0 = 3*n + 4*j - 1223. Calculate the remainder when 432 is divided by n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 498881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-200)\/(-15))\/(-8) - 0) + 41516\/24909. Which is bigger: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -290113423\/648 + 447706. Calculate the common denominator of -35\/64 and k.\nAnswer: 5184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -295.484?\nAnswer: -88.6452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93, 141, 235, 375, 561, 793?\nAnswer: 1071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76 - 112. Let f = 21.4 - 795.4. Let t = f + 772. Is y greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(6)\/(6*sqrt(50)) + 4*(sqrt(3) - ((sqrt(9)*1)\/sqrt(3))**2).\nAnswer: -9 + 121*sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/2 of a micrometer in nanometers?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.5 - 1.6. Let l = 0.3 - r. Sort l, -3, 3\/2 in decreasing order.\nAnswer: 3\/2, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -67, -137, -207, -277?\n\"Answer: -70*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 348080 and 120?\nAnswer: 1044240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3041 bigger than 33444\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 - 197120*i + 91934925.\nAnswer: -5*(i - 461)*(i + 39885)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 10:28 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000 + -10101101101?\nAnswer: -10101111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 41\/6 of a hour?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -532 and 0.22.\nAnswer: -531.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 + 68. Suppose -4*n - 3*v = -1, 5*n - i = v + 2. Solve q + n = 1 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4400*m - 12001 - 86005 = 42794 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.27, -7588 in ascending order.\nAnswer: -7588, -0.3, 0.27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3410699?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0201111 and -43.\nAnswer: -0.8647773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 + -24. Let u = a + -14. Suppose 5*z - 6 - u = 0. Calculate the smallest common multiple of z and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 811 in increasing order.\nAnswer: -1, 4, 811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 902*m**4 - 2*m**3 + m**2 + 3*m - 640579 wrt m?\nAnswer: 3608*m**3 - 6*m**2 + 2*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15945414.5 + 0.8.\nAnswer: -15945413.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 341734 = 2*p, 4*p - 573519 = -2*j + 109953. Let t = -105658 + p. Suppose -t - 154789 = 4*q. What is q rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 + 6 + (-1632 - -1448)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-7)\/(-3)*3 + 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6039 + 9198. Is 18 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-6) + (84\/105)\/(3\/(-5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1680 and 30120.\nAnswer: 421680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 - 796*c**2 - 8404*c + 9196.\nAnswer: 4*(c - 209)*(c - 1)*(c + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 17*n + 140. Let w be g(23). Solve 4*h = z - 0*z - 8, 0 = w*z + 8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - f = -35, -l + f - 7 = -4*f. Calculate the lowest common multiple of 10 and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2854, 5717, 8580, 11443, 14306, 17169?\nAnswer: 20032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -5*c. Let l(u) = u + 4. Give x(l(g)).\nAnswer: -5*g - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -668*t - 12. Let x be s(-9). Let a be ((-1)\/(2\/(-47)))\/((-6)\/x). What is a rounded to the nearest one thousand?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 94? (a) -2 (b) 1402 (c) 128\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/20*-4)\/((-35)\/(-175)))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 2:23 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 175998467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14685*i = -14689*i + 3*l + 13, 2*i = 4*l + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 315.\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*y + 14 = 0, -2*d + 7*y + 3 = 2*y. Solve -g = d*s + 4, -s = -5*g + 2*s + 26 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 51 + 25 = 0. Let n = -6 - -8. Solve -3*l = 5*r - 0*l + p, -n*r - l = 7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**2\/17 + 132424*z\/17 - 132426\/17 = 0 for z.\nAnswer: -66213, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3267 + -6469\/2. Calculate the common denominator of q and 45\/373.\nAnswer: 746","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2693830369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in -2, 4\/9, -0.8, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (432 - 11*r**4 - 432)*((-r + 3 - 3)*(0 - 4 + 3) - 5*r - r + 4*r).\nAnswer: 11*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (126*80\/(-25480))\/((-51)\/119).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 13*l**2 + 7 - 8.\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*r + 6 + 101*r - 2 - 4.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -0*f - 45. Suppose p - 5*y - f = 0, 4*p = 4*y - 0*y + 44. What is the remainder when 29 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -147, -7, 13, 3, -1 in decreasing order.\nAnswer: 13, 3, -1, -7, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 7*n**3\/3 - n**2 + 2*n - 678. Let m(b) = -6*b**2 + 2*b - 2. What is 4*m(a) + 3*t(a)?\nAnswer: -3*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 552942*b**4*t - b**3 + 406*b*t + 5124*b wrt b.\nAnswer: 6635304*b**2*t - 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -213592078 + -17?\nAnswer: -213592095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 882111105 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 8 = 4. Suppose a + s = j*a - 28, -5*a - 3*s + 42 = 0. Factor a*t + 1 - 3 - 2*t - 5*t**2.\nAnswer: -(t - 1)*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -57 + 106 + 872*w**2 - 592 + 780*w**2 - 315 wrt w.\nAnswer: 3304*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2. Let u(o) = -510 + 787 + 4*o - 9*o + 4*o + 1120. What is u(r(j))?\nAnswer: -2*j**2 + 1397","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 450\/(-27)*12\/(-10). Let m = x + -3. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/7 (b) 0.1 (c) -0.52 (d) -3\/2 (e) -11.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74747 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 5 = j. Let v be ((-4)\/(-6))\/(14\/9). Which is the nearest to 0.1? (a) j (b) -2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28108, -56211, -84314, -112417, -140520?\nAnswer: -168623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - 230\/(-18) - (-6)\/27. Solve 2*n = -0*n - 8, 5*n + v = -c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 91545134*f**2*v**2*y**3 - f**2*v*y**3 - 14*f**2*y**3 + 3*f*v*y**3 - 3*f*y**3 - 647*v + 2*y**2 wrt v?\nAnswer: 183090268*f**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 4*f**2 + 6*f + 28. Let c be o(-4). Solve c*i = 4*j + 8, 4*j = -5*i + 3 - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -18. Let l be 13 + (-2 - -2) - 51\/17. Let j be k + (-16)\/(-20) + 2\/l. Solve 4 = b - j*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170)*-1*-5)\/((-2*sqrt(70))\/sqrt(7)).\nAnswer: -5*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 1390*r**2 - 9*r + 14. Let q be j(6). What is q rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 16) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -4, -5 in descending order.\nAnswer: -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a8d7 + -7?\nAnswer: a8d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 11\/18, 15, -2\/13 in decreasing order.\nAnswer: 15, 11\/18, -2\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 2004.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -26 + 7 - 1743. Is j at most -1762?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74 - -193. What is the greatest common factor of 34 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -5 + -2 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*l - 40*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -48*a + 702. Let y be f(12). Calculate the greatest common factor of 2016 and y.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-6)\/1*(0 + (-21)\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from joa. What is prob of picking 1 j and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 1:35 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 5 = 4*r + 8*f, -5*r - 152*f - 5 = -147*f for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1782899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 10 = -4*n. Let m(o) be the first derivative of o**4\/24 + o**2\/2 - 1. Let q(h) be the second derivative of m(h). Determine q(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 5*c - 54959 - 14247, -152 = 19*c. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2*p - 0*p + 7, 0 = -2*w + 4*p - 22. What are the prime factors of (-93)\/w + 2\/3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 9, 3, -2 in ascending order.\nAnswer: -2, 3, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15951 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -15 - 51. Suppose 0 = -u + 5*t + 51, 2*u = 3*t + h + 105. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53128510 by 5.\nAnswer: 10625702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-276)\/(-60))\/((-24)\/10). Let v = -5\/4 - s. What is r in 2\/9*r**2 + v*r + 4\/9 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 6*n**2 + 4*n - 5. Suppose -3*z - 30 = -2*g - 3*g, 0 = -5*z - 3*g - 16. Let j be v(z). Solve 5*d - 20 = -q, -d + j*d + 4 = -3*q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -22 + 25 + -15.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - 20) + (1 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -29980*y**2 + 1020*y + 170. Let q(m) = 526*m**2 - 18*m - 3. Determine 340*q(u) + 6*w(u).\nAnswer: -1040*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 102 = -17. Suppose f = 12 + m. Suppose 0 = 5*k + f - 74. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 583\/3 - 194. What is the third smallest value in 5, v, 0.05, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k**4 - 3*k**3 + 9*k**2 - 3. Let r(g) = -g**4 + g**3 + 1. Let c(m) = 3*r(m) + w(m). What is the third derivative of c(l) wrt l?\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*v - 42*v = 26768. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -38*q**2 - 34053*q - 202987. What is x(-6)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 12 = -w + 4*q, 3*q - 11 = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*n = 2, -3*n = 4*g - 139. What are the prime factors of g?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.624 + -0.034. Let y = 0.11 + h. Let i = y - 0.3. What is i rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-8)\/10)\/(3 - 13\/5). What is the tens digit of f\/((-428)\/213 + 0 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5162836 divided by -3\nAnswer: 5162836\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -168 - -171. Let c(o) be the third derivative of -207\/70*o**7 + o**2 + 3\/4*o**5 + 81\/112*o**8 - 3*o**4 - 2*o**x + 0 + 139\/40*o**6 + 0*o. Solve c(a) = 0.\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22438 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 6*f - 91. Calculate the remainder when 57 is divided by o(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64\/(-112) - (-8)\/(-84)*-6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*v + 85*v - 60*v**2 + 7 - 71 + 13*v**3 - v**4.\nAnswer: -(v - 4)**3*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**3*v + i**3 - 37*i**2*v**2 + 18*i**2 + 2308*v**2 - 2523 wrt v.\nAnswer: 2*i**3 - 74*i**2*v + 4616*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**3 + 1511*d - 1511*d.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 2055?\nAnswer: 2055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 4*z + 15. Suppose 239 = -3*a + 227. Which is greater: a or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 39125792 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 4*p = 36, 12*p - 7*p = -2*h - 33 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 8 = 5*n, 2*m = -7*m - m + 6*m + 16 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.0109 rounded to zero decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -734044.\nAnswer: 2936176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, v: 3, p: 9, r: 2}. Give prob of picking 1 r, 1 w, and 1 p.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.3 - -0.5. Let m = -0.8 - t. Suppose -z - r + 3 = 6, -2*z = -5*r - 22. Which is the closest to z? (a) -1 (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rwaaararvvrrrvwrarv. Give prob of picking 2 v, 1 w, and 1 r.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 24445.95 to the nearest 1000.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -45*y**4 + 39*y - 39*y + (3*y - 4*y + 4*y)*(-5*y**3 + 2*y**3 + 2*y**3) + 11*y - 2*y**4 + 10*y - 8*y**4 + 9*y**4.\nAnswer: -49*y**4 + 21*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of -181*x**8\/28 - 1681*x**4\/24 + 22*x**2 + 40*x. What is the second derivative of c(a) wrt a?\nAnswer: -43440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-116)\/(-5))\/(28\/20). Let j be -1 + -967*2\/126. Let u = k + j. Which is the third biggest value? (a) 0 (b) -3\/5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from clwlccllclllcwlllww. Give prob of sequence cccc.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.261 - -0.161. What is the third smallest value in a, -3, -15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -18, -9\/1202, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4114 (base 14) to base 13.\nAnswer: 512a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1874 + 6535 = 25*j + 3*j + 31*j for j.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 444240 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19185397123 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 34*c - 32*c - 267, 129 = c + 4*h. Are 935\/7 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1141755899 to the power of 1\/2, to the nearest integer?\nAnswer: 33790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2284 smaller than 16714?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 + -9.2804?\nAnswer: -8.4804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6018)\/(-7227) + (-30)\/36. Is i at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 4:26 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 99, 2, 0 in increasing order.\nAnswer: 0, 2, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 13 = n, 2*n = -5*a - 7 - 22. Let d(p) = p + 5. Let j be d(a). Suppose 5*q + 3*q - 256 = j. Calculate the highest common factor of 224 and q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 2)*(-6 + 8). What are the prime factors of (-3 + 17)*4\/l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.666 + 0.034. Let u = g - -0.3. What is the second smallest value in u, 1\/7, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 20*m - 176. Give p(27).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3913155274 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(14\/(-51)) + (-114)\/76.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -0.5. Let x = 3.5 - 8.5. What is the second biggest value in 2\/7, x, w?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 21. Let l(y) = y**2 + 15*y + 21. Let c be -2 + -1*48\/3. Let n be l(c). Calculate the highest common factor of f and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 1. Let d(q) = -7*q - 118. Calculate d(j) + 2*s(j).\nAnswer: -5*j - 116","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 5*t**2 + 5*t - 4. Let q be f(-6). Solve -15 = -5*m - 2*k, -2*m + 5*m - 9 = q*k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27.8205103 + -27.82. Round h to 5 decimal places.\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478052353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 180 - 174. Suppose -x*d - 64 = -1192. List the prime factors of d.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 80*g**2. Let d(k) = -41*k**2 + 2*k - 3. Let j(z) = -572*z**2 + 29*z - 43. Let a(x) = -29*d(x) + 2*j(x). Give a(m(h)).\nAnswer: 288000*h**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -344*p + 1383. Let q be z(-18). Calculate the greatest common factor of q and 150.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 13. Suppose t + 12 = p*t. Factor 1 - 1\/2*k**3 - k**t + 1\/2*k.\nAnswer: -(k - 1)*(k + 1)*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*f - 12, -5 = -24*i + 19*i + 3*f. Solve -13*g + 15*g = i*r - 14, 5*g + r = 20 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1610.1 - -1610. Let r = 0.84 + -0.54. Which is the closest to h? (a) 0.2 (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - 1. Let k(o) = o**2 - 5*o - 4. Let d be k(6). What is the biggest value in q, 3, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c*r**3*v + 147*c*r**2*v - 2*c - 16328*r**3 + 39*v wrt v?\nAnswer: 2*c*r**3 + 147*c*r**2 + 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213 = 11560002*n - 11560073*n. Factor 3\/4*c**n + 33\/4*c**2 + 18*c - 27.\nAnswer: 3*(c - 1)*(c + 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 6497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15\/4 of a centimeter?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*b**3 - 534*b**2 - 401778*b - 6666074 = 0. Calculate b.\nAnswer: -323, -17, 607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 8*w + 3. Let u be o(8). Suppose g = 4*s + 13, 0 = -u*s - 2*g - 5 - 2. Is s\/(-9)*(-2 - -395) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (611\/(-2) + 77\/(-11))*12752. What is t rounded to the nearest 100000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -1\/4 (b) 1\/4 (c) 3\/5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 53 = 2*g + 10*d, 4*g = 3*d + 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31630058059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152275, -609138, -1370581, -2436610, -3807231, -5482450, -7462273, -9746706?\nAnswer: -12335755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - 2*c**2 + c**2)*(243 + 22*c - 243).\nAnswer: -22*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 25, -2*r + 2*b = r - 4. Suppose 22*j - 90 = 7*j. What is the biggest value in 1, 2, j, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 2*k + 8 = 3*q, -4*q = 3*k - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 32, 26, -8, -82, -208, -398, -664?\n\"Answer: -2*p**3 - 2*p**2 + 14*p + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((-4*-1*sqrt(130) - sqrt(130)) + sqrt(130) - sqrt(130)) + sqrt(130) + sqrt(130))\/(-3*sqrt(360))*-4.\nAnswer: -10*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -66364 (base 7) to base 11\nAnswer: -11573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 228999 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113645?\nAnswer: 5, 7, 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, u: 1, j: 2, d: 1, r: 1, o: 1}. Give prob of picking 1 u and 1 r.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -114.\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 + -66 + 95 + -106?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 1052868.\nAnswer: 11581548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) -3 (c) -0.11 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence geg when three letters picked without replacement from ggddlqedeedddg?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/9*15\/20*-3.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 23 = -z, 5 = -4*j + 25. Suppose 3*k - 3 = z*k. Suppose -i = -0*i - k. Solve -5 = -2*h - 5*d, i*h = h + d - 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 15*p**2 + p + 1. Let z be r(-2). Suppose 3*l = 2*l. Suppose z = -l*i + i. Round i to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**3 + 15 - 4 - 4*o**3.\nAnswer: -3*o**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 168918*w + 844589. Give z(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*j + 7, -2*m - 3*j - 15 = -6. Find the third derivative of c**3 + 0*c**2 - m*c**2 + 2*c**3 wrt c.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 9, j: 3}. Give prob of picking 1 d and 1 j.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5880 and 96600?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91766 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 + 90 + -96 + (1 - 57).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -16. Which is smaller: -2 or j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 1. Suppose 0 = -5*u - 0*u. Let p be u - (m\/(-1) - 0). Solve 3*h - 19 = -5*t, 4*h - 21 = -5*t + p*h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 473*u**2 - 5*u + 80. Let x(g) = 662*g**2 - 7*g + 118. Let n(k) = 7*m(k) - 5*x(k). Suppose 4*v - 2*v = 0. Calculate n(v).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 - 48. Let b = j - -4. Let a = b + 12. What is the nearest to -1\/3 in -4\/7, 5, a?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(153)*3*-2)\/(6*sqrt(225))*4.\nAnswer: 4*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -o**5\/420 + o**4\/84 + o**3\/14 + 12*o**2 + 21. Let i(q) be the second derivative of c(q). Determine n so that i(n) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + 1442132 - 1442132.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 18*d**2 + 19*d + 10. Let j be m(19). Let k be 11 + 1 + 4 + -1. What is the greatest common factor of k and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 11*y + 2. Let c be v(-9). Let w = c - 15. Let a(p) = 3*p**2 - 6*p - 4. What is the units digit of a(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7413.613 millilitres to litres.\nAnswer: 7.413613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 2*c**2 + 3*c - 4. Let g be r(2). Let p = -1 - -1. Let h(w) = p*w**2 - w**2 - 4*w**g. Let b(z) = z**2. Calculate h(b(a)).\nAnswer: -5*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**3 - 2*h**2 + 4*h - 2. Let c(x) = 8*x**2 + 167*x - 3. What is the remainder when b(3) is divided by c(-21)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 10:03 PM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 9:56 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emeeeem. Give prob of picking 2 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12081 is divided by 11946.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*y - 540. Calculate the highest common divisor of 27 and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 9*u = 10. Suppose -4*i - 3*f + 0*f + 29 = 0, -i = 5*f - 20. What is the second derivative of -6*r**2 + 7*r**3 + 3*r + 11*r**u - i*r**2 wrt r?\nAnswer: 42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1120\/400)\/((-5)\/((-75)\/6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a day in hours?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6122 divided by 1?\nAnswer: -6122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -150 + 148. Sort -1, 4, d, 3 in ascending order.\nAnswer: d, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a day in seconds?\nAnswer: 20736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhuhuuhyy. What is prob of picking 1 y and 1 u?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m + 2 + 0 + 11 + 44 - 39 + 4*m.\nAnswer: 2*m + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, p: 6, e: 3, j: 1, m: 1}. What is prob of sequence ej?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 3 - 1)*(-3 - 1 + 0)*(-38*q + 48*q + 14*q)*(4 - 5 + 0)*(-1 - 1 + 4) to u + a*q and give a.\nAnswer: -768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/10 - 12\/(-30). What is the closest to 1 in m, 4\/5, 2\/3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k + 0*k + 46*k**4 - k**2 - 4*k - 103*k**4 + 48*k**4 - 167 in the form q + f*k**2 + n*k**3 + w*k**4 + c*k and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*t + 5. Let f be (-6)\/(-8) + 5\/20 + -3. Let m be f + (4 - 4\/2). Solve -t + m = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 2:53 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -17058 and -7480 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 37982 minus -567441506?\nAnswer: 567479488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -2. Suppose b*l + 10 = 9*l. Suppose -l*r = -14 + 4, 4*u - 4*r + 20 = 0. Round u to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, j: 1, x: 2, u: 1, e: 1, c: 1}. Give prob of sequence ue.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-30))\/((-24)\/(-20)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13624.423861 to the nearest 10.\nAnswer: -13620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -1)\/(1 + 0). Let u be 12\/1 + (o - 3). Let p = 22 + u. Calculate the remainder when p is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/39613 and 11\/20264879.\nAnswer: 141854153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 z when four letters picked without replacement from {u: 7, z: 6}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15956425.\nAnswer: 5, 787, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*p**3 - 55*p**3 + 114*p**3.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5800.7 and -42.\nAnswer: 243629.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -17484 less than 5?\nAnswer: 17489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 171932 by 811.\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 0. Suppose 407 = w*r - l, 6*r - 3*l - 201 = 4*r. Suppose 0 = 3*y - r + 3. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5 = -2*t, 2*t = 4*t - a - 5. Suppose t*w + 160 = 4*w - 2*r, -146 = -3*w - 5*r. Does 21 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -5, -3, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.4168 to 1 dp.\nAnswer: -37.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -55, 14 in descending order.\nAnswer: 14, 2, -3, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4241404112 - -3?\nAnswer: -4241404104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/6 and -65\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -23571281?\nAnswer: 5\/23571281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.1? (a) 10 (b) 6 (c) -0.7 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2911927, 5823851, 8735771, 11647687, 14559599?\n\"Answer: -2*h**2 + 2911930*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/6*3*-10. Let q be (-9)\/((-20)\/n - -3). Solve -3*t + 0 + q = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-4*((sqrt(36) - sqrt(216)\/(1*sqrt(6))) + sqrt(36)))\/(3*-1*-1*sqrt(768)))**2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 181 + -195. Let j be (((-15)\/(-2))\/(-3))\/(p\/(-140)). Do -25 and j have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2385446 a multiple of 1228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 35*r**4 + 3*r**3 - 48*r**2 - 8*r. Let m(v) = -v**4 + v**3 + v**2 - v. Let s(u) = a(u) - 3*m(u). Find the third derivative of s(i) wrt i.\nAnswer: 912*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + c - 12 = 0. Suppose -2*q - q + c = 0. What is the greatest common divisor of q and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -1)\/(8 + -6). Suppose -c = -9*c. Solve c = 2*a - d - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, 331, 6, -4, 4, -15 in increasing order.\nAnswer: -15, -6, -4, 2, 4, 6, 331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 852*d**3*m**2 + d**3*m + 2*d**3 + 61*d*m - m**2 + 6 wrt d.\nAnswer: 5112*d*m**2 + 6*d*m + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -17*s**5\/20 - 14*s**2 - 26. Let a(q) = -4*q + 4*q - 4*q. Give d(a(y)).\nAnswer: -816*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249222.\nAnswer: 2, 3, 73, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-75))\/((-6 + 2)\/12)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1041132278 to the nearest integer?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 7:58 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 2)*(-3*o + 3*o - 6*o) + 30*o + 31*o - 20*o + (-3 - 2 + 4)*(-1 + 1 + 2*o) + 18 - 18 - 8*o.\nAnswer: 25*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nxvxvvxxnx. What is prob of picking 1 v and 1 n?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/((-264)\/16)*(-6)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7*x**2. Let q(c) = 5*c - 24 + 24. What is l(q(j))?\nAnswer: 175*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 162 - 368. Let f = c + 209. Solve 3*h = 2*z + 10, -2 = 2*h - 6*h - f*z for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-807 - -821) + (11 + 1 - (-5 - -7))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*d**3 + (-5*d - 6*d + 7*d + 1)*(-10*d**2 + 317*d - 317*d)*(-11 - 1 + 0).\nAnswer: -482*d**3 + 120*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -8 + 6 + 6 + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p - 93. Let y(z) = z - 1. Calculate i(u) + 3*y(u).\nAnswer: -2*u - 96","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2833\/741 + -145\/39. Which is the fourth biggest value? (a) -6 (b) -5 (c) 5 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 + 1 - 1) + 9561 + -9575.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g - 10. Let z(x) = 3*x + 19. Let t(f) = 5*s(f) + 3*z(f). Let u be t(6). Let l = -1 + u. Solve -16 = -4*j - l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/1683 and -2\/45441.\nAnswer: 45441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t - 50*t = -474640. What is the thousands digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -451353 - 10?\nAnswer: -451403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 7:09 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 161 (b) 1 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 p when two letters picked without replacement from {r: 1, p: 7, a: 1, s: 5}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 423470, 423406, 423342, 423278, 423214, 423150?\nAnswer: 423086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 2*g**2 - 1555*g + 7726. Calculate j(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900)*-2 - sqrt(1900) - 3*sqrt(1216))**2 - ((3*sqrt(19))**2 + -3 + 1*(sqrt(190)\/sqrt(10))**2).\nAnswer: 55217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 184, 366, 548, 730, 912?\nAnswer: 1094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**3 - 69*k**2 + 31*k + 104. Let i be x(34). Let y = 0.01 + -0.41. Which is the second biggest value? (a) -5 (b) i (c) 3 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -826668 - 12?\nAnswer: -826680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - (-89 + -79 - -186).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22.5 + 0.5. Which is greater: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17 and 249032.\nAnswer: 4233544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/7*(-148)\/(-111)*(-6)\/(-24).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 346649*q**4 + q**3 + 12*q**2 - q - 10068.\nAnswer: 8319576*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -408, -1752, -3016, -4200, -5304?\n\"Answer: 40*w**2 - 1464*w + 1016","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003 less than -0.098?\nAnswer: -0.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 879138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -118656, 1, -5, 2, 8 in ascending order.\nAnswer: -118656, -5, 1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 201, 297, 393, 489?\nAnswer: 585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 2*v - 125. Let o(y) = y**2 - 14*y - 13. Let d be o(14). Let z = 18 + d. Calculate the greatest common divisor of z and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - sqrt(170)*-1)*6)\/((sqrt(120)*-2)\/sqrt(12)) + ((6*sqrt(187)*3 - sqrt(187))\/(-1*sqrt(1100)))**2.\nAnswer: -6*sqrt(17) + 4913\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-1178))\/((-100)\/(-1900))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 5 = -13. Suppose 5*w - k - 3*k - 8 = 0, -x*w + 8 = -4*k. Solve w = -3*v - 3*m + 21, m + 12 = -4*v + 5*m for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 809867 and 12017.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c + 17*c - 4*o = -27, 2*o - 6 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 5*p**3 - p**2 + 7*p + 151. Let a(u) = -4*u**3 - 3*u - 76. Let g(h) = -7*a(h) - 3*q(h). Find the first derivative of g(f) wrt f.\nAnswer: 39*f**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-4)*(1 + -5). Let b = -281.1 + 281. What is the closest to l in 2\/5, b, 10?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 89*r**2 + 1 - 2*r**4 - 3*r**3 - 44*r**2 - 43*r**2 to q*r**4 + v*r + o*r**3 + c*r**2 + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -50, -72, -96, -122, -150, -180?\n\"Answer: -w**2 - 19*w - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -90 - 300. Suppose -q + d - 3 = 0. What are the prime factors of q?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t + 0 + 11*t + 30*t + 3.\nAnswer: 29*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3076446930.\nAnswer: 2, 3, 5, 102548231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 6. Suppose -2*v + 2 = 0, i*w - 3*v + 418 = 5*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18909 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 663 = -5*f, 3*x + x + 858 = 2*f. Let r = 34 - -19\/2. Calculate the common denominator of r and 2*3\/x*22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (0 + 1)*1087 - (-1920)\/240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*c + 20 = 95 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11663 and 763.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 7*d + 234. Calculate x(-34).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 155.4?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -185*b**2 - 270. Let r(t) = 31*t**2 + 45. Let u(v) = 34*r(v) + 6*z(v). Let x(n) be the first derivative of u(n). Let o(p) = p**2. Give o(x(j)).\nAnswer: 12544*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 279595 and 2628193?\nAnswer: 13140965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmmkmmkfmmkpmmmf. Give prob of picking 2 k and 1 p.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**4\/2 + z**3 + z**2\/2 - 11*z. Let r be n(-4). Let j = -64 + r. Which is smaller: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 17*v**2 - 26*v - 4. Does 28 divide o(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 5*w - 5. Let j be i(5). Calculate the common denominator of j\/6*(-16)\/(-2) and (-1222)\/312 + 2\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9301*a**2 + 3*a - 2*a + 33840*a**2 - 2*a + 2*a.\nAnswer: 43141*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -12*h**2 - 2*h**2 + 29 - 60 + 32 + 3*h**2. Let z(r) = -2*r. Determine b(z(c)).\nAnswer: -44*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -337911 - -337907. Let p be (2\/4)\/(2\/(-68)). Which is the second biggest value? (a) 1\/4 (b) p (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-76)\/(-20) - 2\/(-10). Suppose -2*q + m = 4*k - 18, 3*k - 27 = -5*q. Suppose -k*p = 5 - 25. Solve 0 = -o + 4*n + 7, 2*o - p*n = 5 + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4 - 127724*v + 255443*v - 127718*v. Determine n(8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20\/7*q - 9\/7*q**3 + 6\/7*q**2 + 8\/7 = 0.\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -21*y**2\/2 - 2. Suppose 6*q - q + 20 = -5*b, -2*q - 12 = 4*b. Let f be j(b). What is the greatest common factor of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + p**2 + p. Let v(z) = 4*z**3 - 16*z**2 - 6*z - 9. Let r(i) = 5*s(i) + v(i). Let t be r(-11). Solve t*y = -2*y + 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1574950 rounded to the nearest 100000?\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 3*k**3 - 2*k**3 + k**3)*(-13*k**2 - 3*k**2 + 5*k**2).\nAnswer: -22*k**5 + 88*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 - 25. What is the highest common factor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66) - (2*-2*sqrt(66) + sqrt(66)) - sqrt(66))*-2)\/((1*sqrt(108)\/sqrt(2))\/sqrt(9))*5)**2.\nAnswer: 9900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -309*h**2 + 22*h - 1. Let g(p) = -63*p**2 + 4*p. Let m(i) = 11*g(i) - 2*o(i). Let q(t) = 6*t**2. What is m(q(v))?\nAnswer: -2700*v**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((3\/(-9))\/(7\/42*-44)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 - 3)*(11 - 5 + 1) + (2 + 2 - 3)*(3 - 4 + 3))*(-32 + 32 + 13*i)*(-3*i - i**2 + 3*i).\nAnswer: 429*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fq when two letters picked without replacement from xooffqxfxxafffagg?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 14*c**3 + 21*c**2 + 12*c - 7. Let v(q) = 5*q**3 + 7*q**2 + 4*q - 2. Let t(i) = 4*k(i) - 11*v(i). Determine t(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.25 times 0.023026\nAnswer: 0.0057565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 32440327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 195208978 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i - 5*i + 7 = 0. Let d be (0 - 3) + 1421\/29. Which is the second biggest value? (a) i (b) d (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(245) + 0)**2*4 + 3 + (-5*(sqrt(245) - 6*1*sqrt(245))*-2)**2)*2.\nAnswer: 1226958","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24203552 + -3523?\nAnswer: -24211515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, w: 2, a: 7, x: 7}. What is prob of picking 1 z and 1 x?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 5*y**2 - 70*y - 475 = 0.\nAnswer: -5, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -13. Let s = -3.9 + 4. Let z = s + -0.2. Sort z, r, 3 in decreasing order.\nAnswer: r, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7707 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: Suppose 0 = 5*r + 4*l - 12, 0 = -5*r + 5*l + 26 + 4. Let a = 1 + r. Solve a - 1 = 4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 5*p**2 + p + 9. Determine z(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 9 - 6. Suppose 0 = -a - a + 6. What is the third derivative of c**a - c**3 + c**2 + c**j wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -13*k**2 - 110*k + 13. Calculate y(-8).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -287746, -575643, -863544, -1151449, -1439358?\nAnswer: -1727271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2145, 4267, 6389, 8511?\n\"Answer: 2122*u + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 11*c + c + 5*c + 6 - 2*c**2 to the form a + i*c**2 + j*c and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19f (base 16) to base 11.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -217 - 588?\nAnswer: -816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from jrjjjjjrjj?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4*i**2 + 120*i + 38. List the prime factors of j(29).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k*k\/k**1))**(-10\/13))**(-2\/85))**(-9))**(1\/19) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 454 divide 54893594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8407.\nAnswer: 7, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 1:20 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - t + 5*t - 2916, 4*q - 5796 = 4*t. Factor 966*b + 186*b + 129*b**2 + 3*b**3 - q - 380*b + 548*b.\nAnswer: 3*(b - 1)*(b + 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxiciunuininuiiiiuc. What is prob of sequence ci?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4*h + 4, 3*h = 4*r - 33 + 11. Suppose x = 15 + r. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i - 18. Suppose 4*m + 8 = 3*p, 0*m + 3*m + 6 = 0. Let h be a(p). Let s = -73\/4 - h. What is the nearest to s in 4, -2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5\/61 (b) -1 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20066 - -2247407\/112. Let n = 3451\/304 - 186\/19. Let h = y - n. Is -1 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 7*u**2 - u + 17. Let o be p(7). Let d be 4\/o - 165\/(-25). Suppose -t - 18 = -d*t. What is the greatest common divisor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -5, 5, 33, 85, 167, 285, 445?\nAnswer: 653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -10999+-0.4\nAnswer: -10999.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 414251 + -414257. Let c(z) = -11*z**3. Let u(q) = 12*q**3. Let k = -7 - -2. Give f*c(a) + k*u(a).\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -900.08 + 900. What is the second smallest value in 4\/7, 2\/13, d?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/5*-1 + (-36)\/24. Is -2 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + (-78903)\/(-12) - (-24)\/(288\/(-15)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 = 44*y - 157 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -4*t - 52 - 13, z - 31 = 2*t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*j - 78*j = -4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 5*x**2 - 17*x - 3 + 14*x - 2. Suppose -16 - 9 = 5*j. Is g(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -v + 30, 4*i + 0*v - v + 24 = 0. Let b be i\/27 + (-332)\/(-36). What is the highest common factor of 45 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 10*o = 14*o - 61497. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + v - 6. Let q be s(0). Let d(i) = i**3 + 5*i**2 - 7*i - 7. What is d(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 11:25 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.210323448 and 9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08008667 to 4 dps.\nAnswer: 0.0801","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 + 12921*r**2 - 193634*r + 567864.\nAnswer: -(r - 12906)*(r - 11)*(r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -0.1 (b) 260\/9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -59 and -369.\nAnswer: 21771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 4:54 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67737, 0.4, -2446.\nAnswer: -67737, -2446, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**5\/120 - n**3\/2 + 3*n. Let v(f) be the second derivative of q(f). Let s = 5 - 5. Determine v(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 6 = 5*n. Let f(w) = -w**3 + 7*w**2 + 8*w + 9. Let m be f(n). Solve 25 = -4*t + m for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -246*b + 606*b + 33 - 33 + 734*b in the form h + i*b and give i.\nAnswer: 1094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**3 - 2*t**2 + 11*t + 20. Give h(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/((b*b**(2\/3))\/b)))\/b**26)\/(b*b*b**(5\/2)*b*b*b\/(b\/(b*b\/(b\/((b*(b\/b**(-4\/13))\/b)\/b))*b*b*b))*b) assuming b is positive.\nAnswer: b**(-2897\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**4\/8 + 2*y**3\/3 + y**2. Determine s(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -94521*n. Let c(i) = 6*i**2. Determine t(c(u)).\nAnswer: -567126*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 982 + -979. Which is the nearest to -0.1? (a) z (b) 4 (c) 341 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-45)*5\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -5*z + 7, -z - 7 = -0*u - 4*u. Differentiate 0 + 0*t**4 + 7*t**4 + z + 2 with respect to t.\nAnswer: 28*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 8:16 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 s when three letters picked without replacement from {i: 2, u: 8, e: 1, c: 2, s: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 + 63. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + (21 - 22) + 25.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2.060256 months?\nAnswer: 0.000171688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5885771?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -344?\nAnswer: -1\/344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -322, -666, -1034, -1438, -1890, -2402?\nAnswer: -2986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m - 2. Let o be w(-4). Let x be (0\/3)\/(4\/2). Let q be (0 + -2 + 1)*-1. Solve -h - o - q = x for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*i + 463 = 0, -3*f = 5*i - 1569 + 178. What are the prime factors of f?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 8*n**2 + 8*n + 10. Let t be o(-4). Let w = t + 91. Suppose -4862 = -2*d + 4*r, w*d - 9150 - 3050 = -5*r. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -666471, -1333134, -1999797, -2666460, -3333123, -3999786?\nAnswer: -4666449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 5*b**5\/6 - 1060*b**4\/3 + 44275*b**3\/2 - 1089605*b**2\/3 + 5324000*b\/3 = 0.\nAnswer: 0, 11, 50, 352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 476 = 10*y - 5*a + 5*a, 0*y + 244 = -5*y + 3*a for y.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/14*630\/180. Suppose -7*a + 4*a - 6 = 0. Let p = 1 - a. Solve -h - t = -n + 1, -3*n + p = 3*h for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1364)\/77 + 2\/(-7). Let z be 1\/((-2)\/b) - (-85)\/(-17). Solve 0 = i - z*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 34 = 7*b. Suppose -q + b*q - 5*d = 48, -d - 81 = -5*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2827014 to the nearest integer?\nAnswer: 1681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (296\/12876)\/(((-50)\/(-15))\/(-10))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (15 - (15 - 8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 1:34 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 36, -0.2, 0.5, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 9*k - 2. Let m be z(-9). Is m\/7 - (-1166)\/14 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0 - 3. Let f = 5 + i. Calculate the greatest common divisor of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13)\/51 - 1\/3. Suppose 2*m = -5*z - 2, -57*z + 3*m + 3 = -61*z. Is z bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/6)\/((-3)\/4). Let w(j) = j**3 - j**2 + 2*j + 4. Let u be w(0). Let a(k) = 2*k + u - 4 + 3 - 1. What is a(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/7)\/y**(2\/13)*y**5*y**(-3\/2) assuming y is positive.\nAnswer: y**(531\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*i = 641*i + 252*i - 79 + 8350 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 4*a + 4. Let u be y(-3). Let v be 3\/6 + 286\/12. Let c = 24 - v. What is the closest to c in -1, u, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(567) + -4 + sqrt(28)\/(sqrt(28)\/(2*sqrt(7))).\nAnswer: -5 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -27756, -49160, -107258, -220398, -406928, -685196, -1073550, -1590338?\n\"Answer: -3058*r**3 + r**2 - r - 24698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 16*m + 14. Let z be r(-17). Which is the third smallest value? (a) 83 (b) z (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 - -0.02. Suppose -142 = 4*o - 3*o. Let s = 430\/3 + o. What is the closest to -1 in 5\/2, s, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/30 + 1 - (-49)\/(-9) and -11\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*c = -22, -2*c = -3*i - 7*c + 37. Let k be (-21)\/15 - i\/(-10). Let n(z) = -8*z**3 - 2*z**2 - 2*z - 1. Is 3 a factor of n(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 113670.\nAnswer: 227340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2789 take away 151237732?\nAnswer: -151234943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 2 = 7*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - i**2 - i + 1. Let n = -8 - -7. Let d(u) = -3*u**3 - 5*u**2 - 5*u + 7. Let w(j) = n*d(j) + 5*r(j). What is the derivative of w(t) wrt t?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of -24*m**2 + 288\/7*m - 1\/14*m**4 + 50\/21*m**3 + 184. Determine g so that u(g) = 0.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 - 125*j + 23690. Calculate m(82).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.525737 to 1 dp.\nAnswer: 45.5","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 7297921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -64*h**3 + 7*h**2 + 32*h + 7. Let o(n) = -64*n**3 + 6*n**2 + 31*n + 6. Let u(f) = 7*o(f) - 6*r(f). Find the second derivative of u(t) wrt t.\nAnswer: -384*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 - -32. Which is the closest to -1? (a) 2\/17 (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -3. Sort -14, s, -4 in descending order.\nAnswer: s, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6044554 (base 10) to base 14.\nAnswer: b34b7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -541, -4381, -14805, -35107, -68581, -118521, -188221, -280975?\n\"Answer: -549*l**3 + 2*l**2 - 3*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24486, -24484, -24482, -24480, -24478?\n\"Answer: 2*g - 24488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-2))\/(((-3)\/(-3))\/(19\/19))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**2 - 3*o - 7. Let h(u) = 3*u**2 + 14*u + 9. Let p(z) = -z**2 - 5*z - 3. Let s = 49 + -53. Let m(v) = s*h(v) - 11*p(v). Give -10*m(a) + 4*w(a).\nAnswer: -2*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -19. Let u(b) = -4*b**3 + 4*b + 4 + 0 + 1 + 5*b**i + 3*b**3. What is the units digit of u(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**3\/3 + d**2\/2 + 3*d. Let t be a(-1). Suppose 50 + 15 = -13*b. Sort 1, b, t in decreasing order.\nAnswer: t, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -15602 (b) 8 (c) -3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 3, 0, 24, 11, 2 in ascending order.\nAnswer: -12, 0, 2, 3, 11, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5121.212797 + -5121. Let y = -3156.787 + 3157. Let l = y - j. What is l rounded to five decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*i*m**6 + 18*i*m**3*r**3 - 2*i*m**2*r - i*m*r**3 + m**2*r**3 - 4*r**3 wrt m?\nAnswer: 360*i*m**3 + 108*i*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 6 = -4*b + 5, -4*b - 5 = -h. Let t(v) = 12*v**3 - 4*v**2 - 7*v**3 + 3*v + 7 - 6*v**3 + h. Does 11 divide t(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**5\/4 - 3*x**4\/4 - 157*x**3\/4 + 147*x**2\/4 + 182*x + 108 = 0.\nAnswer: -27\/5, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26\/7 or -0.01?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33113100 + -33022?\nAnswer: 33020012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4*z = 3*s - 182, 2*z + 44 = s. Calculate the greatest common factor of 36 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -318834 + 213994. What is x rounded to the nearest one thousand?\nAnswer: -105000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 26212672.505?\nAnswer: 26212672.205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n - 5*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3096 divided by -3869.\nAnswer: -3096\/3869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a - 314 - 306 = -4*u + 2*a, -2*u - 158 = 3*a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + -10. List the prime factors of o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20031230 - 1?\nAnswer: -20031231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 - 1690*l - 6680.\nAnswer: -5*(l + 4)*(l + 334)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/82 and -115\/56.\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - (18 - 46 - -26 - -6)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1738*n + 1743*n + 64 = -9*v, 0 = -5*n - 4*v - 34 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-8)\/3*498\/(-4) is divided by -3 + -10*(-6)\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 712165 + -233265. What is l rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 15 = -4*p. Suppose 3*n = -i - n + p, -i = n - 3. Solve -i*r + 5 = 3*v, 0*v = 2*r + 4*v - 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 49 - 5 + (5 - 3 + 0)*(-3 + 0 + 1) - 3 + 12 - 1)*(f**2 - f**2 + f**2).\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 596?\nAnswer: -1\/298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and 2.9?\nAnswer: -2.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-182*y - 168 + 168)*(67*y - 188*y - 295*y + 39*y) as l*y**2 + k*y + u and give l.\nAnswer: 68614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 102 + 29. Let t = 253 - x. Suppose 39 = 3*m - 2*h - 56, -2*h = 2*m - 60. Calculate the remainder when t is divided by m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/13 in 0.2, 1, 2, 62?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51 + -50. Let y be d + (-3)\/(-9)*9. What is the third derivative of -22*f + 38*f - 20*f - 3*f**2 + 15*f**5 - f**y wrt f?\nAnswer: 900*f**2 - 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-5)\/15)\/((81\/(-9))\/1161))\/((-21)\/42)\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -454.000934 - -454. Let k = r - 2.6991. Let x = k - -2.7. Round x to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/21)\/((-9)\/(-21))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -3*m**2 + 9. Let o be q(3). Let p be (9\/o)\/((-18)\/8 + 2). Solve 1\/2 - 2\/3*y + 1\/6*y**p = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -37, -2\/1667045 in descending order.\nAnswer: 0.4, -2\/1667045, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*i*n**2 + 292267*i*n + 16880243*n**2 wrt i.\nAnswer: -8*n**2 + 292267*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**5 - 3798132*l**4 + 11333506*l**2?\nAnswer: -60*l**2 - 91155168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*q + 1417 + 1415 - 2835 in the form y + h*q and give h.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 12\/11, 3\/5, 5, -1 in descending order.\nAnswer: 9, 5, 12\/11, 3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 1. Let w be 1 + -3 + 1\/1. Let p be n(w). Which is the nearest to 1? (a) p (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 3*i + 12 = i, -3*i + 6 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23275, 93657, 211139, 375721, 587403?\nAnswer: 846185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 14*g + 2. Calculate w(12).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008281322 to 6 decimal places.\nAnswer: -0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120030 + -1?\nAnswer: -120031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91405 is divided by 22797.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 4:29 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313914350.\nAnswer: 2, 5, 17, 23, 16057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -7*a + 2. Which is greater: a or 3\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104\/6)\/(((-1539)\/2052)\/(27\/(-24))).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 2\/41 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 7*x**2 + 17*x + 11. Let w be q(-9). Suppose -36 = -w*z + 2*z. Solve 2*v - 8 + 26 = z*p, 5*v + 20 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -421.4 - -1444.3. What is g rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1371*q - 1378*q + 2732*q. Solve 5 = 5*g + 2*j, q = 46*j - 44*j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 140758?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0*i + 62 = -i, -4*w + 74 = 5*i. Solve z = -4*k + 5*z - 8, 3*k + 2*z = -w for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 44*x - 263. Give g(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - (sqrt(121) + (sqrt(121) - sqrt(121)*2*-3)))\/(sqrt(33)\/(-1*sqrt(3))).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26033 to the power of 1\/2, to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.119 and 604249?\nAnswer: -71905.631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.9 in -5, 7\/335, 5?\nAnswer: 7\/335","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.2 + 15. Which is the second smallest value? (a) m (b) -2\/9 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-25\/4)\/(v*v*v**(14\/5)))\/(v**(-3)*v**(-2\/11)\/v) assuming v is positive.\nAnswer: v**(-1511\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(-60)*37650\/13554?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*a - 3743*a - 223*a = -336399 for a.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 1, 5, -1 in ascending order.\nAnswer: -37, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 0. Suppose -7*m - 9*m + 448 = 0. Suppose 3*z - m = 17. Solve u = -6*p + p - z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -7, -13, -29, -61, -115?\n\"Answer: -g**3 + g**2 - 2*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 26468, 25705, 24942, 24179, 23416, 22653?\n\"Answer: -763*f + 27231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - 36 - 4*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**4\/9 - 1213700*q**3\/3 - 736536272384*q**2\/3 - 446974402171568128*q\/9 - 893922289299488768\/3 = 0. Calculate q.\nAnswer: -606848, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 79991059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 21220*k**2 - 10*k. Let p(v) = 31*v. Determine l(p(x)).\nAnswer: 20392420*x**2 - 310*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-27521)\/(-812) - 34).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 96?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 5*b - 3*b + (-5*b + b + 2*b)*(-5 + 4 - 1) - 11 + 11 - 6*b)*(-1 + 3 - 4).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.318 - -1.318. What is the nearest to 5 in w, 4, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75791630?\nAnswer: 2, 5, 7579163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 2:57 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a gram in milligrams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -1 + 6. Suppose -2*j - 8 = -4*b, -5 + 0 = -5*j + 5*b. Suppose 17 = j*i - c*i. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 28 + a + 21 + 18.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, -0.4, 4\/5, 2, 0.2, 1066?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1223109 divided by -311\nAnswer: 1223109\/311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 467.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 22*a - 10. Let n = 14 + 4. What are the prime factors of h(n)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1029.8 times 4\nAnswer: -4119.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 13*c + 90. Let d be c\/(-14) + -1 - 119\/49. Let o be 1*(-1)\/d - 56\/(-21). Solve -2 - 10 = -o*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*o + 533 + 292. Solve -4*x + 9*x = -5*d - o, 3*d = -15 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12.6, 5, -3, 23\/2, -0.6, 2\/7?\nAnswer: -12.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29820 is divided by 973.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 3 = p + 3*u, -u = 0. Suppose 3*t = -5*y + 9, -2*y + 4*t + 23 = 3*y. Suppose 0 = -y*l + 5*l - 8. Solve 2*w = 2*x + l, -2*w + 5 = p*w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -163809 + 394701. Suppose -35*j + 119353 = -n. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p - p**2 - 1 + 4*p + 3*p**2 - p**3. Let o be h(1). Let y = 3 + o. Solve y*w + 13 + 3 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 452100.6 millilitres?\nAnswer: 452.1006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1096)\/959)\/(2\/(-49)). What is the highest common divisor of 4018 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 848604?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 3479 to the nearest one hundred.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1418*i + 851 = -1435*i + 2830*i for i.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 37?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 2. Let n = -0.08 + 3.08. What is the smallest value in n, z, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2769588 and 3424.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2126)\/(-12756)*(0 - (1 - 466)). Solve -25 - t*r + 34*r**2 - 7\/2*r**3 = 0 for r.\nAnswer: -2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 838564?\nAnswer: -838559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1165671)\/(-28782)*(-7)\/((-63)\/(-12)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 375 and 18908325.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 88489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13935 and 269923737.\nAnswer: 2787","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.05 and 334909035?\nAnswer: 334909035.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -11*j**2\/2 + 339. Let d(c) be the first derivative of 0*c**2 - 4 + 0*c + 2\/3*c**3. Calculate b(d(i)).\nAnswer: -22*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + s + 7*s)*(s**3 - s**2 + 0*s**2 + 0*s**3).\nAnswer: 4*s**4 - 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 165992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2323032.6535 plus 57.5?\nAnswer: -2322975.1535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 h when three letters picked without replacement from {e: 2, v: 3, a: 4, h: 4, d: 3}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 5*v - 210. Calculate the remainder when 149 is divided by v.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 650138552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -197*u + 6905. Determine t(35).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(1872)*2)\/((sqrt(12) + sqrt(192) + sqrt(12))\/sqrt(3)) + ((-1 + sqrt(832) - sqrt(832)) + 4 - (-4 + (sqrt(832) + 0)**2)).\nAnswer: -830 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 105846 + 0?\nAnswer: 105846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d + 20 - 3*d - 53*d**2 + 47*d**2 with respect to d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*((-3)\/6 - -1). What is the second derivative of -k*c**4 + 4*c + c**4 - c**4 wrt c?\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*1\/4*4. Let y(r) = 2*r**3 - 37*r**2 + 11*r - 574. Let u be y(19). Which is the biggest value? (a) -1 (b) u (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3521*v - 13. Let d(o) = 5283*o - 21. Calculate -5*d(f) + 8*m(f).\nAnswer: 1753*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*n + 3 = g, 15 = -2*n + 5*g. What is the closest to n in -4, -3, -8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3195*h**4 + 5*h**3 - 4*h - 2*h**3 - 3194*h**4.\nAnswer: h*(h - 1)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 17 (b) 0.5 (c) 0.4 (d) 4\/9 (e) -93\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 4491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**3 - 12*v**2 - 108*v - 116. Calculate k(-6).\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*u - 40*u**4 + 6*u**5 + 4*u - 5461*u**2 + 5428*u**2 - 8*u - 6*u wrt u.\nAnswer: 360*u**2 - 960*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.56 and -173?\nAnswer: -961.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.755033238 take away 1?\nAnswer: -0.244966762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 810 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2*p = 3*t + 2, 3*t - 5 = -5*p. Let s be (-1)\/(-3)*(-1 + 16). Solve 3*v + 1 + s = t for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -5*w + 4. Let d(u) = 4*u - 27. Let t be d(8). Let c(b) = 6*b - 3. Let x(k) = t*y(k) + 4*c(k). What is x(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -6*o**2 + 3*o. Let k(m) = -24*m**2 + 59279 + 13*m - 59279. What is 6*k(z) - 26*v(z)?\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46221.\nAnswer: 3, 7, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 244\/(-4) + 3 + 0. What is the common denominator of s\/(-36) + -1 + 1 and 31\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-2) - -1)\/(-1). Suppose -12 = d*f - 97. Solve -p = -5*t - 9, -p = -t + 3*p - f for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 w when three letters picked without replacement from {i: 11, w: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*g - 6*g - 20088 = -103*g - 4584 for g.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -157 - -505. Suppose 42 = o - i. List the prime factors of o.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, e: 1, s: 1, o: 3}. What is prob of picking 2 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hf when two letters picked without replacement from {h: 1, z: 1, n: 2, y: 3, f: 3, a: 3}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 5*i - 18, -14*i = -3*f - 10*i + 10. Put 2, f, 1, -15 in decreasing order.\nAnswer: 2, 1, f, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -39981 less than or equal to -39895?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, p: 3, f: 2}. Give prob of picking 1 f and 3 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*a - 3*f - 30, 8 = -2*f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -259*d*i + 20*d - 3 wrt i.\nAnswer: -259*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9257816 weeks in days?\nAnswer: 6.4804712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 162*b**2 + 132*b - 4679. What is s(-161)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*d - 2*d + 3*d + (1 - 2 + 3)*(-4*d + 4*d - d) to the form b*d + x and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + p - 1 = 0, r - 4*p + 4 = 4*r. Which is the nearest to r? (a) -5\/2 (b) -2\/11 (c) 2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -10*b**3\/9 - 1184*b**2\/3 - 222650*b\/9 - 4932 = 0.\nAnswer: -274, -81, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxememmx. Give prob of sequence mxe.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 = -226204*j + 226206*j - 15*q, 8 = -2*q for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -226, -218, -210?\nAnswer: -202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51674 is divided by 2146?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.008, 0, 0.3, 1.39, 2, 8, -11?\nAnswer: 1.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30)\/(-50)*80\/24. Put -4, i, -1, 8 in ascending order.\nAnswer: -4, -1, i, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 25 (b) -6 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 491 = -3*d, 0 = 2*d - 3*t - 0*t - 331. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 3)*(3 + 9*k**3 + 14*k**3 - 6*k**3) to the form w*k + n*k**2 + j*k**3 + r and give j.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3202 is divided by 704?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -64 - -67. Suppose -73 = m*f + 5. Let v = f - -32. What is the least common multiple of v and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**4 + 245*c**3 - 3345*c**2 + 8395*c - 5290.\nAnswer: -5*(c - 23)**2*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -59 + bb6?\nAnswer: b5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 14 = 4*a - 30, 0 = 2*k + 5*a - 34. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 41 + 38*d + 16 - 11*d - 4*d**2 - 61*d.\nAnswer: -4*d**2 - 34*d + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -19*c**2 + 2*c + 18. Let d(x) = -41*x - 36. What is d(k(m))?\nAnswer: 779*m**2 - 82*m - 774","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2801 - -2800.97586. Round r to 3 dps.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307 is divided by 184?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1628080*s**2 + 268048168.\nAnswer: -3256160*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.3 and -23451.\nAnswer: 100839.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 121*b**2*d**2 - 14*b**2 + 22*b*d + 4*d**2 - 1139*d - 3 wrt b.\nAnswer: 242*b*d**2 - 28*b + 22*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4969*i**2 + 4969*i**2 + 4970*i**2 - 14919*i**2.\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*v**2 + 309264 - 77321 - 77311 - 77319 - 77315.\nAnswer: 27*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/13 < 286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0027364 to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.09 and -238184.063079.\nAnswer: -238184.153079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.432 + 2.42173. What is a rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 12, q: 2, j: 1, o: 1, h: 3}. Give prob of sequence hghj.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 7:10 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2060\/1057 or -1?\nAnswer: -2060\/1057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -11.589283, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*g - 7*g + 138*g)*(6*g + 3*g + 0*g) + 30 + 10*g**2 - 30 in the form r + p*g**2 + q*g and give p.\nAnswer: 1243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 21*n - 70. Let q be f(-24). Solve -37 = -q*z - 33 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 322592 or 7.5?\nAnswer: 7.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y**3 + 3*y**2 + y - 2. Let k be n(-3). Let s = 912\/7 - k. Let h = -7429 - -7429. Which is the biggest value? (a) 2 (b) s (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*((-12)\/8 + 0). Let v(d) = -3*d - q - 5*d**2 - 8*d**2 + 2 + 14*d**2. Determine v(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 2, 177, -11\/222?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 - 77*s**3 + 54*s**3 + s**4 + 29 - s**2 - 19*s**3 as f*s**3 + a*s + z*s**2 + n + m*s**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/3)\/(-32 + 33)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -291819.57 rounded to the nearest ten thousand?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u + 15 = 13*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*n**3 - 205*n + 205*n + (-4*n + 6*n + 5*n)*(-n**2 + 0*n**2 + 2*n**2) to the form z*n**3 + o*n**2 + v + c*n and give z.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - 44. Let j = -54 - h. Which is the nearest to j? (a) 3 (b) 1\/6 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 990*w - 1058*w + 8*w**2 + 2*w**3 - 6*w**2 + 0*w**2 to the form l*w**2 + g + j*w + r*w**3 and give j.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - -2 - 8*(-30)\/5. Suppose 40 + z = -3*s. Which is smaller: s or -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -53.9865 to 1 dp.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-3) + -150*(-4)\/576. Which is the smallest value? (a) -0.01 (b) -0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -212*h**2 + h - 1. Let z(i) = -1061*i**2 - 9*i + 5. Let x(q) = -5*k(q) + z(q). Suppose 0 = s - 2*l + 13, l + 4*l = -4*s - 65. What is x(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 244 - 13.7\nAnswer: 230.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144*30\/405)\/((-10)\/(-45)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 38 = -66. Let w = -4 - s. What is the remainder when w is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 10, -764, -6, -4, 5 in decreasing order.\nAnswer: 10, 5, 2, -4, -6, -764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 9273690.\nAnswer: -2\/4636845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -2*k - 4, 3*w + 7*k - 12*k = 10 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 2 (c) -9 (d) -7 (e) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*p**4 - 100*p**3 + 39*p**2 + 3*p - 1706174 wrt p.\nAnswer: -12*p**3 - 300*p**2 + 78*p + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 - 28 = -100*v - 99 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/3)\/(v\/(v**(-35)*v)*v))\/(v*v*v**(1\/18)*v*v**(-14)*v) assuming v is positive.\nAnswer: v**(-457\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29477977 or -29477979?\nAnswer: -29477979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 10*k**2 - 7*k - 12. Let i be n(9). Suppose -4*b = 5*m + 19, -4*b + i = 2*m + 16. Let w = -17 - -17. Sort -5, w, b in descending order.\nAnswer: w, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 12 = -2*w. Suppose 12*m - 11*m - w = 0. Suppose -m + 64 = n. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - g = -5*g + 140, 4*a - 5*g = 153. What is the remainder when 276 is divided by a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -23523, -47255, -71183, -95313, -119651?\n\"Answer: -b**3 - 92*b**2 - 23449*b + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (84492\/(-31959099))\/(((-2)\/(-17))\/(-1))?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*t - 8477, t = 2*h + 3741 + 498. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/2)\/y**6*(y**(-1\/4))**(-7\/8) assuming y is positive.\nAnswer: y**(-169\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07 - 0.45. Let d = 5 - 4.92. Let z = d + t. Which is the closest to 1\/5? (a) -0.5 (b) -4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -3. Let h = b - -12. Put h, 2\/3, 3 in decreasing order.\nAnswer: h, 3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-442)\/4 - 5\/(-10). What is the units digit of 66\/j*(1 + -91)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-2\/17))**26*b**(3\/8)*b*(b**(-38\/5)\/b)\/b assuming b is positive.\nAnswer: b**(27687\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - 6. Let o be (6\/l - -2)*-12. Is (-18)\/3*o\/3 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**3 - 39*m**2 + m - 161. Let q be r(26). Do -3\/8 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 14 + 12*l**2 + 19*l**2 to b + f*l**2 + q*l and give f.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 88207987313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**4 - 5*k**3 - k**2 - 5*k + 5. Let p(c) = c**4 - 4*c**3 - 2*c**2 - 4*c + 4. Let g(o) = 4*i(o) - 5*p(o). What is the third derivative of g(z) wrt z?\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 + 2. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 11 = -6*k, -20*l - 5 = -25*l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 1. Suppose -2*c + 11 = 9. Differentiate i + 3*a**2 - 3 - c + 2 with respect to a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/843 + 21082\/5901. Find the common denominator of m and 27\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o**2 + 32*o - 46. Let i(j) = -12*j**2 - 64*j + 91. Let t(c) = -5*f(c) - 2*i(c). Let n be t(-33). Calculate the highest common factor of n and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 21*u**3 + 27*u**2 + 27*u - 27. Let t = -8709 + 8713. Let d(z) = 3*z**3 + 4*z**2 + 4*z - 4. Let r(x) = 12*x - 3. Let j be r(-2). Give j*d(k) + t*a(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -32*h - 51. Let t(n) = -3*n. Give f(t(x)).\nAnswer: 96*x - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 16*a + 58. Give b(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 30 = -4*t - 10, 3*i + 4*t = 44. Suppose 5*d - 2*y - 540 = 0, -4*d + y = -431 - 1. What is the greatest common divisor of d and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -30 + (-6 - -5) - 49.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 20 (b) -0.1 (c) -0.033 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + -7. Suppose -10*i + 6*i - 40 = 0. Calculate the common denominator of 22\/3 and ((-19)\/4)\/(i\/j).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + 3. Let i be 11\/77 + 1\/(-7). Let z be v(i). Solve -p = -2*p - z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -24. Calculate the smallest common multiple of 3\/(15\/(-20)) - u and 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -338 in 2\/7, 1\/136, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and 183216078.\nAnswer: 183216075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 3:06 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and -18.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 31. Calculate the remainder when 17 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + z + 1)*(-1 - 2 + 2) - z - 2*z + 7*z)*(0*z + 0*z - 2*z) as o + s*z + f*z**2 and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -480622\/3 - -160208. Factor i*y**2 - 12*y - 38\/3.\nAnswer: 2*(y - 19)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 5*a - 1. Let m be v(5). Let r = 7 + -18. Let c = -7 - r. What is the closest to m in c, -1\/4, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3087?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 2*q - 408. What are the prime factors of q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - -933?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 6:23 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*q - 21*q = 455 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -d91 (base 14) to base 2\nAnswer: -101001110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 3 - -5 - (0 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 442 (base 8) in base 11?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (198\/132)\/(6*2\/416). What is the highest common factor of m and 3848?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*a**6 + 237*a**3 + 315*a**2 + 2*a wrt a.\nAnswer: -480*a**3 + 1422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u + 8. Let t = 29 + -31. Let v be b(t). Solve 4*l + v - 4 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 5*x - 20. Suppose -4*l + l - x = 4*s, -l - s = 2. Suppose -3*r = -4*o + 20, -2*o - 2*o = l*r - 40. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**11)**50 assuming z is positive.\nAnswer: z**650","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/60 and -28\/9?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 + 2*b - 2. Let d be l(-2). Suppose m + d*m - 45 = 0. Let y = m - 193\/13. What is the second biggest value in y, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 2 + 6 = 2*n, 2*n - 6 = -21*m + 4*m - n for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 5*v**2 + 6*v - 5. Let l = 8 + -13. Let t = l - -9. Let p be c(t). Which is greater: p or 3\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5059217, -5059298, -5059379, -5059460?\nAnswer: -5059541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*n - 419 - 81. What is the least common multiple of n and 16?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 7*u - 8. Let c(s) = 2*s**2 - 15*s - 17. Suppose h = 3*p - 16, 4*h + 24 = -5*p - 23. What is h*n(w) + 6*c(w)?\nAnswer: -w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211 = 6*o + 193. Solve -12 = -o*h - 0*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzxrrxrzrzzrrzzxz. Give prob of sequence zrzz.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.4587 days to microseconds.\nAnswer: 6174031680000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -818*c - 7556. Determine y(-10).\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 482*w - 478*w - 524 = -67*j, 46 = 5*j - 2*w for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 2*t. Let u(d) = -7*d**2 + 227*d + 1. Determine -u(i) - 6*x(i).\nAnswer: i**2 - 215*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 - 2 + 0)*(4*b - b + 3*b) + 6*b + 0*b - 10*b)*(0 + 8 - 2)*(0 - 2 + 1)*(-2*b**3 + 4*b**3 - b**3) as y + j*b**2 + x*b**3 + i*b**4 + f*b and give i.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 t when two letters picked without replacement from {s: 4, z: 1, j: 2, t: 4}?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1115 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.40673238 rounded to 1 dp?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -2 = 1704366\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 252, 314, 418, 564?\n\"Answer: 21*l**2 - l + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*n + 29 = 0, -25 = 5*m - 3*n - 66. What is the lowest common multiple of m and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k + 33. Determine j(4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 440?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9557.108l?\nAnswer: 9557108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/5 (b) -3\/4 (c) 2.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 4*o**2 - 308444*o - 8330904 = 0.\nAnswer: -27, 77138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**6\/120 - j**5\/15 - 7*j**4\/24 - 3*j**2\/2 + 21*j. Let c(z) be the first derivative of o(z). Is c(-5) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99905, -101077, -102249, -103421?\nAnswer: -104593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -126985*n + 1269855. Determine x(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1414556?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -592535, -1184744, -1776943, -2369126, -2961287?\n\"Answer: v**3 - v**2 - 592213*v - 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*f + 10, -4 = -3*f - 2*v + 2. Suppose f*w - 2*w - 26 = 0. Find the third derivative of -r**3 + r**3 - w*r**2 + 16*r**2 - 4*r**6 wrt r.\nAnswer: -480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + -101. Let q = u - -172. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 143 + -1004\/7. Let s be ((-40)\/28)\/(4\/(-28)). Let k = 7 - s. Which is the smallest value? (a) k (b) 1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 247*t**2 + 2695*t + 1065. What is z(-11)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/5*(8 - 7). Let w = -4803.5 - -4802.7. Put 0.1, -5, w, x in decreasing order.\nAnswer: 0.1, x, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 417088 - 0.31?\nAnswer: 417087.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4\/9 + 352*b**3\/9 - 1844*b**2\/9 + 496*b\/3.\nAnswer: 4*b*(b - 4)*(b - 1)*(b + 93)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 38028*w**2 - 12 - 38060*w**2)*(-3*w**2 + 3*w**2 + 2*w**3).\nAnswer: -64*w**5 - 38*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29856 = -15342*f + 15964*f for f.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -a11c (base 15) in base 7?\nAnswer: -201063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -182.3.\nAnswer: 182.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2730?\nAnswer: 2, 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2280257 times 0.07\nAnswer: 159617.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13389398, -13389401, -13389404, -13389407, -13389410?\n\"Answer: -3*w - 13389395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, g: 5, i: 4}. Give prob of sequence ge.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 12*p - 30 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1255 take away 491?\nAnswer: -1746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 1 - 1. Let a be j\/((-3)\/9) + -1. Suppose 4*c - 30020 = 3*x, -2*x + 4*x = a*c - 20010. What is x rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p + 5*p + p)*(-3*p + p + p) - 171*p + 329*p - 2 - 22*p**2 - 161*p.\nAnswer: -35*p**2 - 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1716?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-39)*7*10\/(-245).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 4:17 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -177, -1\/2, 2097\/2.\nAnswer: -177, -1\/2, 2097\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(19)*2 - (-1 + sqrt(1900)).\nAnswer: -4*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -553.582 + 97.692. Let y = -456 - h. What is the third biggest value in 2, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.13 (b) 0.03 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -165, 1\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -2, 185 in increasing order.\nAnswer: -2, -0.8, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1645122, -3290237, -4935352, -6580467, -8225582, -9870697?\nAnswer: -11515812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7\/5*t**2 + 1\/5*t**3 + 12\/5 + 4\/5*t = 0. Calculate t.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.045807281 - -2.324190773. Let c = 2.37 - l. Round c to seven dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + 0 + 3 + -5*(sqrt(128) + sqrt(128) + -1 + sqrt(128)) + -3)**2.\nAnswer: -1120*sqrt(2) + 25113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z - 1\/3*z**3 - 5*z**2 + 3\/8*z**4 + 0 - 1\/60*z**5. What is l(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3392 and 908579?\nAnswer: 58149056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -18, -17, -14, -9, -2?\n\"Answer: y**2 - 2*y - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -72.4 + 66.61. Let d = n + 5.78443. Round d to 4 decimal places.\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 5*z + 30 = 0, -6*g - 5*z = -11*g - 20 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2381 + 2377.1. Let r = -236 + 232.94. Let h = p - r. What is h rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 192 and 22?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 4*a - 4, -114*n + 111*n - a - 16 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 10*r - 94. What is the remainder when 474*4\/(96\/20) is divided by m(7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 19. Calculate the remainder when 56 is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**3 - 26*t**2 + 246*t - 7. Give n(7).\nAnswer: 1127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5528*i + 15 + i**3 - 15 - 5588*i to the form l*i**2 + k*i**3 + x + z*i and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -10 - (6 - (15 - 5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 90978971 to the power of 1\/3, to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Convert 1405.251s to milliseconds.\nAnswer: 1405251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -127\/3948 + -1\/282. Sort -1, 0, j.\nAnswer: -1, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16083 divided by 3.\nAnswer: 5361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1097 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujgummmmnuqq. Give prob of sequence uun.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4167578634?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i*i\/(((i**(-5)*i*i)\/i)\/i)*i)\/(i\/(i*(i**(-2\/13)\/i)\/i*i))*(i\/i**(-1)*i)**40*(i**(-1))**(-3\/20)\/(i**(-2\/3)*i*i**0) assuming i is positive.\nAnswer: i**(100357\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 - 1023031?\nAnswer: -1023003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101010 - -1001100101001?\nAnswer: 1001001111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(-15)*-1*11\/(-11).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -143, -149, -159, -173?\n\"Answer: -2*t**2 - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 11*t**2 - 17*t - 5. Let i = -39 + 48. Let m be p(i). Suppose 4*w + 360 = 5*a, -m*w = a + 6 - 78. Is a a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**2 - 4 + 35006*d - 35006*d.\nAnswer: 4*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2032333 (base 4) to base 5\nAnswer: -243101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0.3 (c) -0.18 (d) -1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6*x + 2. Let o(r) = 7*r - 3. Let v(u) = 3*o(u) + 4*t(u). Let y(i) be the first derivative of -i**2\/2 - 2*i + 1. Let p be y(0). What is v(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o**2 - 5*o - 2. Let c(n) = -4*n**2 + 9*n + 5. Give 3*c(j) + 5*u(j).\nAnswer: -2*j**2 + 2*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -15 + 6. Let g(h) = -h**2 - 4*h + 13. Let f(i) = i**2 + 5*i - 14. Let d(w) = 4*f(w) + 3*g(w). What is the smallest common multiple of d(-12) and o?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689592.\nAnswer: 2, 3, 59, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -39*g - 19. Let k = 6005 + -5998. Let v(y) = -13*y - 6. What is k*v(i) - 2*p(i)?\nAnswer: -13*i - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5526, -46012, -155906, -369912, -722734, -1249076, -1983642, -2961136?\n\"Answer: -5784*g**3 + 2*g + 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35102553 and 1719?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + ((sqrt(132)*-2)\/sqrt(12) + 5)**2).\nAnswer: -68 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 6*n - a - 2866, 2*n + 3*a - 1907 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 6*n**2 + 3*n + 2. Let i = -471 - -465. What is v(i)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*z, 0*x - z = -x + 3. Suppose x*f - 30 = -5. Suppose -1 = -y - i + 10, -f = -i. What is the least common multiple of y and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 11001?\nAnswer: 11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181*u + 94*u - 221977*u**2 + 87*u + 221980*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 28*g**2 + 26*g - 31. Let u be c(-29). Calculate the greatest common factor of u and 1708.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 0*h**5 + 0*h**4 - h - 53\/2*h**2 + 0 + 0*h**3 - 61\/30*h**6. Differentiate r(s) with respect to s.\nAnswer: -244*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.5364 - 1.5. Let n = o - 2.0364. Which is smaller: 4\/59 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210132200101 (base 4) to base 14.\nAnswer: -13aca53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/5*(-1 + 11). Suppose 4*v = v + l*w + 86, 4*w = -3*v + 94. What is the highest common divisor of v and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y = -40, 4*h + 3*y = 22 - 42 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 32 = -4*v, 5*v + 3*r = -5 - 27 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 232007919 by -129.\nAnswer: -1798511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1090 = 5*k + o, 0*k + k = 3*o - 234. Suppose 5*w = v - 378, 4*w = 4*v - 139 - 157. Let p = w - k. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44481769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/2480640 and -67\/152.\nAnswer: 2480640","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2.3 (b) -0.07 (c) -14 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 - 6*r + 8. Let c be h(3). Suppose -2*m + c = 0, -5*m = -0*g + 3*g - 263. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**7\/420 + y**6\/24 - 103*y**5\/120 - 7*y**4\/3 - 10394*y**2. Suppose v(q) = 0. Calculate q.\nAnswer: -16, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/2*4\/7 - 13. Let v = 2 - s. What is the tens digit of 2380\/91 + (-2)\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -1100*u - 6*u**2 + 3 + 1100*u. Suppose -4*b + 16 = -2*b. Let g(d) = 4*d**2 - 2. Give b*g(n) + 5*r(n).\nAnswer: 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.3086181um?\nAnswer: 0.00003086181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 164931816*i**4 - 2*i**2 + 1268160*i wrt i?\nAnswer: 3958363584*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (64\/(-60) - -1)\/((-18)\/90). Factor -1\/3*w**2 - s*w**4 + 0 + 0*w - 2\/3*w**3.\nAnswer: -w**2*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -0.5, -0.06, 26?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65826 is divided by 4387.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbuya. What is prob of picking 1 b and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -393 + 231. Let m = 179.4 + p. Let c = m - 17.40000091. Round c to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 6*w**2 + 5. Let k be p(6). Suppose 19 = -3*l - k. Put l, -1, 0 in ascending order.\nAnswer: l, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/6 and -119\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 4*i**5 + 56*i**4 - 124*i**3 + 64*i**2 = 0?\nAnswer: -16, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13184 - -13514. List the prime factors of x.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*(-3 + sqrt(1053)) + -1) + -4.\nAnswer: -135*sqrt(13) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**9*n**(-12))**(-43) assuming n is positive.\nAnswer: n**129","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71 - 59 - 15*p + 49.\nAnswer: -15*p - 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.2551 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 229285 and 11060?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 10*n**5 - 12 - 685*n - 92*n**4 + 685*n)*(-1 + 1 - 1).\nAnswer: 10*n**5 + 92*n**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15376 + 15376.4. Let o = 0.2 + -2.2. Let s = 3 + o. What is the closest to s in -4, x, -4\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43709 divided by 6?\nAnswer: 43709\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 91.2 + -87.2. Which is greater: m or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -49aa - -2633?\nAnswer: -2377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - 0 - 2 - 4 - 1414\/462.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 + 14. Let d = -3.4 + 3. Which is the third biggest value? (a) 0.3 (b) o (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2729707 rounded to the nearest 100000?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 25)*(-13750)\/33. Round y to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 22*q**3 + 495*q**2 + 938*q + 584. Let a(d) = -15*d**3 - 330*d**2 - 625*d - 395. Let b(j) = 7*a(j) + 5*x(j). Factor b(m).\nAnswer: 5*(m + 1)**2*(m + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0.4 (c) -15 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-415 - 2 + 906)*(-3*d**2 + d**2 - 4*d**2) + 9*d**2 - 2*d**2 - 3*d**2 + (-3 + d**2 + 3)*(-2 + 0 + 3).\nAnswer: -2929*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 8 = -2*z, -299 = 5*z + 107*f + 182*f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from aqaqnaaqaaamamaaq.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94197.19us to nanoseconds.\nAnswer: 94197190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n + 1. Let o(g) = 5*g - 6. Let r(t) = -t**2 - t + 2. Let u be r(-2). Suppose u = f - 0*f + 4*l - 6, 0 = -3*f + 3*l + 18. Give f*a(d) + o(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5500 and 237832375?\nAnswer: 1375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -174, 1, -1, -4310, -8 in descending order.\nAnswer: 1, -1, -8, -174, -4310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4470363 to the nearest integer?\nAnswer: 2114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0. Let o(t) = t + 10. Let k be o(-9). Let u be 0\/5 + k\/(-7). Which is the biggest value? (a) n (b) -0.2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**3 + 9*p**2 - 9. Let y(m) = m**3 + 4*m**2 - 4. Suppose 47 = -6*n + 23. Determine n*w(v) + 9*y(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 68\/51 + (-880)\/(-6).\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 13955 = -4*h - 3*g, -5*g = -3*h - 10426. Is h less than or equal to -3488?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 0*z - 20. Suppose -z*v + 2932 = -0*v. Suppose 4967 = h - v. Round h to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 8:45 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1319? (a) 5 (b) -0.5 (c) 3 (d) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 5*d. Let c be -5*(1 + -2)*6\/(-5). Give n(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2, 0.5, -3\/2834, -5, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**3\/4 - 194*u**2 + 773*u\/4 + 775\/2 = 0.\nAnswer: -1, 2, 775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y - 2 - 4*y + y)*(-8 - 1 + 2) to j*y + i and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 27*t - 140. Let r be m(-20). Suppose r*z - 458 = -z - 5*c, 2*c = 2*z - 856. List the prime factors of z.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/121 and -53\/88?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 11*u - 54 = -7*u, -2*l = 3*u - 26. Suppose -2*g = -29 + l. Suppose -5*z - 20 = -g. What is z rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, w: 2, e: 2, y: 1, t: 1, d: 1}. What is prob of sequence de?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 45*j**2 - 589*j - 1723. Determine f(-3).\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 - -3)*5*(-2 + 3). Let p(x) = -54*x - 268. Let w be p(t). Solve q - w*q = -2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c**3 - 29*c + 29*c)*(0 - 1 - 1) + 3*c**3 + 2*c**3 - c**3 + 29*c**3 + 2 + 17*c - 6*c - c.\nAnswer: 19*c**3 + 10*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 333695068 to the power of 1\/3, to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 9*b + 10. Let z be s(-9). Suppose -z*g + 34 = -56. What is the least common multiple of 3 - (-2 - 6*(-5)\/10) and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, i: 7, q: 1, g: 1}. Give prob of sequence iiii.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -180.8 - -181. Let i be 1 - ((-82)\/3)\/1. Let n = i + -28. What is the closest to 1 in n, t, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + sqrt(152)\/sqrt(8) + sqrt(19)) + (-2 + -1 + sqrt(19) + sqrt(19) + sqrt(19) - 2*sqrt(2299)) + 2.\nAnswer: -13*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -297 (b) 3 (c) 139.8 (d) -3 (e) 1 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 103*x + 1655. Calculate k(-20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ur when two letters picked without replacement from rrrruururururruu.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -0.3 (c) -0.5 (d) 0.1 (e) 436 (f) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5 - 5799*a - 3 + 5794*a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 5. Let d be u(-3). Let y = 25848.2 - 25848. What is the closest to y in d, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17969, -73719, -166625, -296681, -463881, -668219, -909689?\nAnswer: -1188285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 1 = -5*o - 2*m, 4 = 3*o - m. Let k be (o\/(-2))\/(11\/(-66)). Solve -k = b + 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*i**2*k**4 + 248*i**2*k - 3*k**4 - 2*k**3 + 2*k**2 wrt k?\nAnswer: -960*i**2*k - 72*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 510 + -506. Let y = -3.5 + 3. Which is the smallest value? (a) x (b) y (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 465557464 to the power of 1\/4, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x + 0*x + 3*x - 2 + 2 + 2*x + (-x - 5*x + 4*x)*(5 - 1 - 2) - 2*x + x - x + 0*x + x + 0*x + x - 4*x + x + 16 - 10 - 82*x - 8.\nAnswer: -85*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 2*p - 2*j - 10, 0 = -4*p - j - 5. What is the closest to p in 0.02, -2\/13, -0.5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) -0.0445 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**4 - 4382*r**3 - 720*r**2 + 1386025388*r wrt r.\nAnswer: 12*r**2 - 26292*r - 1440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) - (1 + sqrt(363)) - sqrt(363))*-4 - (sqrt(363) + (sqrt(363) - (1 + sqrt(363) + 4))))**2*6.\nAnswer: 3564*sqrt(3) + 20088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-4816)\/(-48))\/(6\/360)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/267672 and -143\/48.\nAnswer: 535344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28976 divided by -1811.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216275 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -j**2 + 3*j - 8. What is h(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 7571*m. Let u(o) = -754*o**2. Determine u(c(v)).\nAnswer: -43219310914*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 46*m**2 - 5513982 + 5513982.\nAnswer: -46*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**2 - j - 2. Let o(p) = -4*p + 0*p + 1 + p**2 + 0*p + 3*p. Give c(i) + o(i).\nAnswer: -2*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8446 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 371160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(12\/(-16)*1) - 1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**(1\/14))\/b*b**(4\/11)\/b)\/((b**9\/b)\/b*b\/(b*b\/(b\/b**(-4\/11)))))**(4\/13))**(2\/3) assuming b is positive.\nAnswer: b**(-148\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 4793\nAnswer: 4798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -451\/3 or -149?\nAnswer: -451\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 12. Let s be l(0). Let u(v) be the first derivative of -v**2\/2 - 11*v + 99. What is the units digit of u(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1365 and 14910?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from aioishps.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vks when three letters picked without replacement from {s: 1, v: 1, k: 4, o: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-14769)\/(-12))\/((-36)\/(-672)). Suppose 0 = 8*n - l - 43034. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(3\/(-3))*-90*(-2898)\/2835.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24\/11 in -2, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 - m**3 + 4*m**3)*(19 - 27 - 148*m + 7) + 3*m**4 + 7*m**4 - 9*m**4 - 4*m - m**4 + 4*m + (-3 + 3 + 2*m**3)*(-m - 3*m + 3*m).\nAnswer: -298*m**4 - 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*t + 6*k - 690, 0 = 4*k. Suppose -345 = -5*a + t. Suppose a = 3*m + 10. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 96*q + 17*q**2 + 75*q + 10*q**2 - 171*q. Let i(u) = 4*u. Let k(w) = -w. Let g(l) = i(l) + 6*k(l). Give g(r(x)).\nAnswer: -54*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -223*j**6 - 7*j**4 + 953*j**3 - 77*j**2 + j - 105895 wrt j?\nAnswer: -26760*j**3 - 168*j + 5718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**4\/2 - 1462342*i**3 + 11698714*i**2 - 29246768*i + 23397408 = 0. What is i?\nAnswer: 2, 4, 2924676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hbuh. What is prob of picking 1 h and 1 b?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2227088694 to the nearest integer?\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384*b = 751*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*r - 1798 + 290, -s + 54 = r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40387.\nAnswer: 40387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -99 - -103. Let t = -114 + s. Let d = t - -109.9792. Round d to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -684038?\nAnswer: -1\/684038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + -2 + 18\/(-1). Let d = v - -25. Suppose -t - 6 = d*k - 20, 5*t - 4*k + 2 = 0. What is the third biggest value in 0.5, t, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a - 2*a + 5*a - 4*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/47 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 14*s**2 + 2*s - 27. Determine t(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-1 + 10\/2). Let z = -17\/12 - h. Let b be -1 - (-2)\/4 - -1. Which is smaller: z or b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.776 + 0.776001815. What is b rounded to seven decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 48388, 48387, 48386, 48385, 48384, 48383?\n\"Answer: -d + 48389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4 - 19 = 0. Let p be -1*(0 + -3 - m). Solve -z - 3 + 0 = p for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 546850123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 5. Suppose 0 = -y*u + 1 + 11. Let q be (-10)\/55 - ((-228)\/44 + 1). Which is smaller: q or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 9 - 14)*(-3*h + 4 + 0 + 2*h).\nAnswer: 21*h - 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 25845, 25858, 25869, 25878, 25885, 25890, 25893?\n\"Answer: -g**2 + 16*g + 25830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3*1*sqrt(91) + sqrt(91))*-4)\/((sqrt(154)\/sqrt(99))\/sqrt(200)).\nAnswer: -960*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (126\/(-189))\/(-3*1\/6)*-9?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2372881861 + -79.31.\nAnswer: 2372881781.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25270376 to the nearest integer?\nAnswer: 5027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.1, 2\/5, 17\/5 in descending order.\nAnswer: 17\/5, 2\/5, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -144*j**2 - 2044*j - 6114. What is a(-3)?\nAnswer: -1278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1627941*m + 1728 = -1627977*m for m.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20\/7 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7703 - -7728) + 0 + 70?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgkdgggkgggdkkkd. Give prob of picking 1 k and 1 d.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 + 1 - 1 + (-3 + 3 + 5*r)*(-3*r - r + 2*r) - 2*r**2 - 2 + 2 to the form o*r + v + l*r**2 and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or 495861?\nAnswer: 495861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l**5 + 206*l + 2*l**5 - 110*l**3 + 8*l + 164*l**3 wrt l?\nAnswer: 100*l**3 + 324*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 8. Let f(r) = r**3 - 8*r**2 - 7*r - 6. Let n(u) = -u**3 + u**2. Let y(b) = -f(b) - 2*n(b). Give y(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 3*l - 47. Let m be j(-7). Let y(o) = -o**3 - 18*o**2 + 25*o + 118. Let c = 17 - -2. Calculate the remainder when c is divided by y(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b + 9. Let n be f(-1). Suppose 1605 = o + n*o. Suppose -a + 99 = z, z + 3*a = -0*a + o. What are the prime factors of z?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*w - 4*x, -4*x - 11 = w - 14. What is the units digit of w*(-12)\/18*-29?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000554916 to six decimal places.\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (80\/(-6))\/(1 - (-152)\/(-144)). Calculate the highest common factor of m and 615.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5 = 4*a - 3*a, 4*a - f = 20. Let o(x) = 5*x + 1 + a - 3*x. What are the prime factors of o(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*i - 6 = 0. Suppose i*a - 10 = 68. What is the remainder when 76 is divided by a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260085 is divided by 25?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 749957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/10)\/((-18)\/(-30)). Let v be (-2)\/(-3) + 8\/15. Let s = -0.16 + 0.06. Which is the nearest to r? (a) s (b) v (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 776075529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6948)\/(-15))\/(-4)*5. Let v = 1887 + x. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 720 and 15440.\nAnswer: 138960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 4:24 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qvq when three letters picked without replacement from {q: 9, g: 1, v: 2, y: 4}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71 - -35. Calculate the remainder when (-134)\/(-4) + (-3)\/(-6) is divided by o\/(9\/((-27)\/6)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 - 441 - (25 + (-6 - -4))?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 761830?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 299114, 299286, 299454, 299618?\nAnswer: 299778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.89 + -0.13. Let k = -0.02 - g. Let n = k + -0.7. Which is greater: 0.1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 380\/40*((0 - -1) + -3). Let h = l - -18. Let g(v) = 6*v - 5. Let x(q) = -q + 1. Calculate h*g(i) - 4*x(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 103 (base 8) to base 6\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 2 + (49 - 38)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -66 - -58?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 875 = 12*z. What is the smallest common multiple of z and 3?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 648*u - 648*u + 8*u**3.\nAnswer: 8*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6502*h**4*z**2 + 15*h*z**2 - 3*h*z - h wrt h.\nAnswer: -78024*h**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, n: 4}. What is prob of sequence nnj?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-21)\/4)\/(2\/(-8)). Calculate the highest common divisor of 63 and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 21428568 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 + 2*k - 2. Let s be q(2). Let c(y) = y**3 + 8*y**2 + 10*y + 6. List the prime factors of c(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31.6 - -28. Let v = -0.4 + m. What is the second biggest value in -3, v, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -0.782.\nAnswer: 0.3128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 388 divide 97388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 8) to base 16\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -474 - -477. Find the second derivative of 34*b**2 - 27*b + k*b + 2*b**2 - 42*b wrt b.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 58*l - 32. Calculate n(0).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 18*q + 2. Let v be u(-18). Let p be -1 - ((-6)\/v)\/((-6)\/(-6)). Let l be (2 - 4 - -9)\/1. What is the highest common divisor of p and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5436, -10863, -16290?\nAnswer: -21717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28663151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3653684?\nAnswer: 2, 913421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2 + 4*m - 47*m**2 - 3 + 6 + 2*m. Let b be o(3). Let q = b - -735. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.82434 litres to millilitres.\nAnswer: 21824.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-24)\/20)\/6)\/((-295)\/(-2950))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1492499*q - 4469622 wrt q.\nAnswer: -1492499","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1898*b + 1896*b - 54. Which is smaller: b or -26?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -5\/3 (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2046463, 4092973, 6139485, 8185999, 10232515, 12279033, 14325553?\nAnswer: 16372075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -262 times -0.2?\nAnswer: 52.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, y: 4, t: 1}. Give prob of picking 1 t and 1 e.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 3*f**4\/16 - 3*f**3\/4 + 86. Let h(n) = 0. What is n?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4928849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46365 and 52266?\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(4 + 0) + -4. Let o(y) = -y**2 - 18*y - 26. Let k be o(-13). Let u = -34 + k. Solve r*t + 5 = u*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3 = -9. Suppose m*v = -2*v + 12. Suppose 4*h + v - 11 = 0. Solve -y - 15 = h*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-36)*x*x*x*x)\/(x\/(x\/x**(-39)))*x\/x**(7\/6)*x*x**(-6\/5)\/x)**30 assuming x is positive.\nAnswer: x**199","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of 1\/3*w**2 + 2\/27*w**3 + 4\/9*w - 1. Factor n(d).\nAnswer: 2*(d + 1)*(d + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (104\/(-4))\/(-1)*(-6)\/12\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2315304282.\nAnswer: 2, 3, 385884047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1650263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2.2+-350453060\nAnswer: -350453062.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1002111122 (base 3) to base 14\nAnswer: 7ba5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 33?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1010231 - -1101230?\nAnswer: 30333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4 = 0, 4*l = -3*z + 5*z + 22. Let v(c) = -c + 6. Let n(m) be the first derivative of -2*m + 20. Determine z*n(s) - 2*v(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*y - 626, -297 = -4*y + t + 321. What are the prime factors of y?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 4*z - 2. Let x be l(-7). Suppose 3*h - 49 = -x. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**5\/60 + 17*o**4\/24 + 4*o**3\/3 - 422*o**2. Suppose -4*k = 29 - 101. Give h(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-28)\/(-5) + 6\/15. Suppose -2*t + 24 - b = 0. Suppose -102 = -4*v + 5*f + 37, -4*v = 4*f - 148. Calculate the greatest common factor of v and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 5766.\nAnswer: 23064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from xsxxxssx?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 224 and 28?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.068 - -53.068. Let a = x - 52. What is the nearest to a in -3, -4, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 504 - 456. Calculate the remainder when 379 is divided by m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -5*n - 0*n. Calculate the common denominator of (-10)\/(-4) + n\/(-24) and 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.2 - -0.2. What is the smallest value in 0, 0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - -32?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 9 = 1. Let d(g) = 3*g**3 - 2*g**2 + g - 1. What is the tens digit of d(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 + -30. Suppose 8 = -f*i + 40. Suppose -4*s + i*s + 264 = -3*j, 0 = -2*s - j + 280. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -1\/9, -0.1, -2\/17 in descending order.\nAnswer: 1\/3, -0.1, -1\/9, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(425) + sqrt(17))*1 + sqrt(17) + (sqrt(17) - sqrt(85)\/sqrt(405)) + sqrt(17))*2)**2.\nAnswer: 435200\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - ((11 - -2) + -27) - 37.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 951386 is divided by 125?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88968.67 millennia to centuries.\nAnswer: 889686.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0*g + i = 190, 0 = 4*i - 16. Let u = -58 + g. Suppose 2*b - 15 = 3*p, -3*p - 29 = -u*b + 10. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + v + 12. Let m be (v + 5)\/(-3) - -3. Suppose -28 = 6*f + m. Put -3, 4, -10, f in decreasing order.\nAnswer: 4, -3, f, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-225)\/12)\/(4*(-15)\/160). Solve -8*t - c = -18 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3059.31 times -0.551\nAnswer: -1685.67981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 7:08 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/7, 544\/63, -4?\nAnswer: 544\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -445632, -445612, -445576, -445518, -445432, -445312, -445152?\nAnswer: -444946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = l, -2*l - 2 = 2*l - 3*r. Let m be (3 + l)*2\/1. Suppose 4*a + 13 = -i, -m*a = 5*i + a - 3. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6804 and 13608?\nAnswer: 13608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 180cb99 + 3?\nAnswer: 180cb9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1*17\/((-306)\/18)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42 or 242343?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) 2\/9 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/5)\/((-2)\/(-6)). Suppose -2*y + 10 + j = 0. Let n(w) = -w**3 + 7*w**2 + 9*w - 1. Let t be n(y). Calculate the highest common factor of 42 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 540\/48*1\/(-3) - -4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3952 + 4432. Calculate the highest common factor of w and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 21 + -24 + 12 + -3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of 1409*a**3\/3 + 7*a**2\/2 + 245*a - 598. What is the second derivative of b(r) wrt r?\nAnswer: 2818","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -186, -735, -1646, -2919, -4554, -6551?\n\"Answer: -181*d**2 - 6*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1549 - 4649\/3. Sort h, -4\/7, -1\/297 in decreasing order.\nAnswer: -1\/297, -4\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4711 + 739. What is j rounded to the nearest one hundred?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1326 divide 2588050646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*r + 36. Let n = 24 + r. Let m be 1 + (75 - 3) - -2. Calculate the greatest common divisor of n and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 12, 33, 62, 105, 168, 257?\n\"Answer: k**3 - 2*k**2 + 20*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:51 AM and 9:48 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 120927353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4285213643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6.6 times -0.01\nAnswer: 0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one quarters of a week?\nAnswer: 52920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/2552318 and -52\/1251.\nAnswer: 22970862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 102\/(-85)*(-12)\/18.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -5, -10826.\nAnswer: -10826, -5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298*x**2 + 5*x - 127*x**2 - 2 - 60*x**2.\nAnswer: 111*x**2 + 5*x - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10325015 divided by 11485\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 20.13. Let f = y - -0.26. Round f to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27022021 to the power of 1\/2, to the nearest integer?\nAnswer: 5198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h**2 - 5*h - 20. Let y be k(5). Let v(o) = o + 1. Let p = 11 + -7. Let q be v(p). What is the highest common divisor of y and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -701*n**2 + 12*n + 163. Let q(t) = -3*t + 1. Let p(k) = a(k) + 4*q(k). Differentiate p(x) wrt x.\nAnswer: -1402*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 877605885 to the power of 1\/2, to the nearest integer?\nAnswer: 29624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -253 + 258. Solve -8 + 0 = -2*k + z, 4*z + 26 = q*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -10, 49209.\nAnswer: -10, 32, 49209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*k = 10. Let x be -2 + (-2 - (-10)\/k). Let z(d) = -4163*d - 45791. Let q be z(-11). Sort q, x, 1.\nAnswer: x, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 3*k - 432, -436 = -4*a - 0*k + 2*k. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253470 is divided by 250049?\nAnswer: 3421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/3 + 260*y**2 + 26112*y + 147456.\nAnswer: 2*(y + 6)*(y + 192)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -12*u + 7*u**2 - 7*u + 30*u - u**3 - 12 - 2*u. Give o(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quc when three letters picked without replacement from {q: 1, f: 3, n: 1, y: 1, u: 5, c: 1}.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2 - 12*z + 4. Suppose 7*u = 96 + 30. Suppose -u*y + 14*y = -32. What is f(y)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0096 - 0.33984. Round l to two decimal places.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1908d (base 16) to base 14.\nAnswer: 29525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11.12 in -2, 1.6, -321?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.9 + -15.8. Let g = 4 + -3.8. What is the nearest to g in t, -2\/11, -4\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 175093 or 1575832\/9?\nAnswer: 1575832\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-147)\/(-6)*4772\/2386?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6777 - -13403. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-2 - 2) + -201 + 213 + -64\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1\/7, -2\/401 in decreasing order.\nAnswer: 0.4, -2\/401, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + b - 1. Let s = 22 - 24. Let w(x) = -7*x. Let c(o) = s*f(o) - w(o). What is the units digit of c(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/2 and -67\/38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 4*i, i + i = -4*x + 4. Suppose x*o = 259 + 37. Let q = 211 - o. What is the greatest common factor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1324744.\nAnswer: 2, 43, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 134 = -66. Calculate the remainder when 38 is divided by l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*s - 3616 + 417 = -283 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 87 and 61741?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 22*f**2 - 7. Let l(k) = -11*k**2 + 4. Calculate -4*i(p) - 7*l(p).\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 5:25 AM?\nAnswer: 362","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: -8465 divided by -3263\nAnswer: 8465\/3263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z + 1. Let q be 3 + 0\/4 + 0. Let t be a(q). Solve 5*k - k + t = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 321780 and 44727420?\nAnswer: 44727420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 49634885*h*n*r**2 + 17*h*r**2 - 21*h - 417*r**2 - 2 wrt n?\nAnswer: 49634885*h*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 3*d + 31, -4*m - 4*d + 3 = -49. Calculate the remainder when 21 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3514027 and 5?\nAnswer: 17570135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 317223068009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 22*y**2 - 22*y - 24. Suppose -7*o + 8*o = 5*h - 25, -2*h + 3*o + 23 = 0. Suppose -19*v - 315 = -h*v. Determine d(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39116 and 83748.\nAnswer: 116995956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2627, -7, 2\/7, -4.9 in decreasing order.\nAnswer: 2\/7, -4.9, -7, -2627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/(-60))\/9*5*-12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 28*l - 163. Let o(c) = c + 2. Let p be o(3). Suppose -p*w = -3 - 12. Put w, l, -4 in ascending order.\nAnswer: -4, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 6:25 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.525129ml to litres.\nAnswer: 0.003525129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2586, 5184, 7792, 10410?\nAnswer: 13038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4221 divide 62272413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 10, -2\/5, 5, -2\/263, -5\/2, -1\/13?\nAnswer: -2\/263","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**3 - h**3 - 14*h**3.\nAnswer: -18*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/384204 and -1\/56.\nAnswer: 5378856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert a2b10 (base 12) to base 8.\nAnswer: 636674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 5:21 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 434 + -433.587. What is y rounded to two dps?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 11 = 4*d - 5, -d = -3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9a (base 11) to base 14\nAnswer: 7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + -1)*1 + (12326 - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -35519?\nAnswer: 35519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -308\/6961 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.5, 4, 1, -68?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 464492 and 38186.\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -17 (c) -5 (d) -23 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -691 + 687. Put l, 2, -11\/5 in increasing order.\nAnswer: l, -11\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (17 + (-19 - -23)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 140 (b) -129 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -0*z - 6. Let p(n) = 4*n**z + 0*n - n**3 - 2*n + 3*n**2. Let v be p(2). What is the greatest common factor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**4 - 5*h**3 + 30285*h**2 + 13*h - 285990.\nAnswer: 12*h**2 - 30*h + 60570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2483 - 55?\nAnswer: 242a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 5, 3*a + 24657*i - 24653*i + 107 = 0 for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 43631, 86886, 130143, 173402?\n\"Answer: g**2 + 43252*g + 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1450)\/115275)\/((7 + 31\/(-3))*(-3)\/15)\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 647 + 217 = -3*l - 10*l + 253 for l.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 - -5.56\nAnswer: 4.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10821 - 7493. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -748 + 355. Let d = x + 395. Solve 4 = k - 3*u, 4 + 9 = -d*k - u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5140 = 2*a - 171*g, 54 = 3*a + 2*g - 31 + 40 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k + 114*k + 100*k + 21*k to the form h + q*k and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 5*m**2 - 6*m - 11. Calculate s(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8722 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*c = 5*t - 33, 5*t + c = 69. Suppose 0 = 3*g + t - 37. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1964 = -10*f - 364. Does 33 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-23 + 27 - (-4 - -8))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 0. Suppose -o - 13 = -3*v + v, o - v = -8. Let c = o - j. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -603*w**6 - 4367*w**5 + 12728591*w**2 + w wrt w.\nAnswer: -72360*w**3 - 262020*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 95451.200008 + -95455.2. Let d = c - -4. Round d to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(-1*sqrt(10)\/sqrt(2)) + -3.\nAnswer: -3 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in 0.13, -0.1, 0, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = 6*n - 199. Calculate the highest common divisor of n and 225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.33 - -0.03. Let n = -55 + 25. Let d = -29.5 - n. Which is the second smallest value? (a) -0.4 (b) d (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, -2, -509, 2119?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**2\/6 - 2320*o\/3 - 538240\/3 = 0. What is o?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -15*z**3 + z**2. Let d be b(1). Let k = d - -14. Suppose k = -6*m + 436 + 1106. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 11*d**2 - 23. Suppose 4*b = b + 5*l + 18, 3*b + 5*l = 48. Let f be m(b). Is -0.2 greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 627 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -347 + 357 - (2 + 128) - -4?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1031273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 75236*m**2*t + 13*m**2 - 11*m*t - 35992*t - 403 wrt m.\nAnswer: 150472*m*t + 26*m - 11*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -166285835 take away 385?\nAnswer: -166286220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*l + 116*l + 1786 = 0. Let d be 9\/(-3)*(-722)\/6. What is the greatest common divisor of l and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 i when two letters picked without replacement from {k: 1, s: 9, i: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -9*d**2. Let h(o) = 2*o**2 - 3*o + 3*o. Give h(k(i)).\nAnswer: 162*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 61, 7, 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -778*b**2 + 32*b**3 - 778*b**2 - 779*b**2 + 2335*b**2.\nAnswer: 32*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 574*r - 517*r - 2565 = 0. Let u be -2 + (-5 - -2)\/3. Let l be (-3)\/(-12) - u\/(-12). Put r, -1, l in ascending order.\nAnswer: -1, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2498, -2468, -2398, -2270, -2066, -1768, -1358, -818?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 = -8*i + 5*i. Let x be ((-2)\/(-4))\/((-2)\/i). Let k = x + 91. Calculate the greatest common divisor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 5. Let b be w(-5). Let i be (-3 + -3 + 5)*b. Suppose i = 3*c - c - 186. What is the remainder when c is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 1467 = -1522. Sort m, 0.5, -0.2, -2\/87 in decreasing order.\nAnswer: 0.5, -2\/87, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - c - 3*c = 20, 5 = -3*g - 2*c. Sort g, -1, 45 in decreasing order.\nAnswer: 45, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 956 is divided by 320.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrrsrwrrrr. What is prob of sequence wsr?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69988517?\nAnswer: 23, 41, 74219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/42097 in 4, 2, 9, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145469 is divided by 785.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 1. Let s(t) = -t**3 - 30*t**2 - 38*t - 266. Let f be s(-29). Which is the second smallest value? (a) -4 (b) x (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 18*q**2 + 18*q + 13. Let b be y(-17). What is the nearest to -0.3 in b, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*h - 59 = 74*h - 931 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 94250893\/420 + -224407. Find the common denominator of g and 73\/1080.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 332828690?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -660*g**2 - g - 2. Let x be m(-2). Let u be 4\/(-22) - 1536\/x. Which is the closest to u? (a) 5 (b) 2\/17 (c) 0 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yc when two letters picked without replacement from {y: 1, c: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -999\/91 - -139\/13. Let j be 2\/(-16) - (-1)\/4. What is the third smallest value in 0.1, f, j, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 412187108 to the power of 1\/5, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - (2 - 0)) + -6. Let d be 4\/(-7)*4\/r. Let n = -4.94 + -0.06. What is the closest to d in 0.3, 5, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 551619\/10 bigger than 55163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a microgram in nanograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -269*j**7 - 3637*j**3\/3 - 2072. What is the third derivative of v(p) wrt p?\nAnswer: -225960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 - 2*p + 2. Let i be z(2). Suppose -i*r = l + 6, 18 = 2*l - 2*r - 0*r. Solve -5*a + l*x + 6 = -7, 2*x = -4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32192654 is divided by 1815?\nAnswer: 1814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4495 + -3179. Does 14 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 - 8*b**3 + 2*b**3 + 14*b**3 + b**2 to the form c + h*b**2 + a*b**3 + r*b and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 510082\/13 at most 39237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36288 is divided by 2562?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c399d - 5?\nAnswer: -c39a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15760?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s - 3. Let q be l(-7). Let y be (3 - 7) + 3 + q. Solve 0 = -3*b - y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102963 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 109298 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 1 - (18 - 24).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3 + (sqrt(567) - ((sqrt(567) + -3 - sqrt(567)) + 3) - -4*(-4 + sqrt(567))) + 4)**2 + 4.\nAnswer: -810*sqrt(7) + 14260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*sqrt(189)*-3 - sqrt(189))\/(sqrt(3) + (sqrt(72)\/sqrt(2))\/sqrt(12)).\nAnswer: -21*sqrt(7)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 divided by 14?\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 68*n**2 + 5*n - 43. Let j(k) = k**2 - k + 1. Let b(m) = d(m) + 5*j(m). What is the first derivative of b(p) wrt p?\nAnswer: 146*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-1)*(-2 + 6). Is 10 a factor of (-8)\/n*(-35)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**(-3)))\/(t\/t**1*t))\/((t**(-2\/7)\/t)\/t)**(-43) assuming t is positive.\nAnswer: t**(-716\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15\/2 + 25\/4*a - 5\/4*a**2 = 0 for a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oblolollbbbb. Give prob of sequence bl.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -825*i**4 - 1151030*i**2 wrt i.\nAnswer: -19800*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 6*l - 181. Let s = l + -15. What are the prime factors of s?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 576*u**2 + 73*u**2 + 207*u**2.\nAnswer: 856*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 8:03 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.095402189 to three decimal places.\nAnswer: 0.095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -2\/3, 1991, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -713 - -1209. Suppose 4*t + x + x = 506, -4*t = 4*x - j. What are the prime factors of t?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -7 - 2*v**2 + 16 - 3*v**2 - 2*v + v**3 - 3*v. Let f be m(6). Does 6 divide (-2)\/5 + 276\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21454 = 1558*h - 296*h for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1259 is divided by 113.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5470 + 3254 = -540*p + 4264 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11734.\nAnswer: 2, 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4\/3 (b) -0.2 (c) -2\/537\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6344 + -1?\nAnswer: 6343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 435 and 21150?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(51) + sqrt(255)\/sqrt(5)) + sqrt(51)*1*4)\/(-3*sqrt(75)*1*-5).\nAnswer: 2*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 41*b + 241. What is x(-7)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = n - 18, 5*r = -n - 2*n - 16. Suppose -550 = -n*v + 5*m, -3*m = 24 - 9. Does 25 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -9. Let y(b) = -5*b**3 - 8*b**2 - b. Let x(u) = -4*u**3 - 7*u**2 - u. Let k(f) = j*y(f) + 4*x(f). Determine k(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*h - 38. Let i = h + -61. Calculate the smallest common multiple of 1\/3 - i\/3 and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1566.797 to the nearest integer.\nAnswer: -1567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 501493 (base 13) to base 16\nAnswer: 1c5f82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 30*v = -35*v - 1191, v = -7*r + 2133. Calculate the remainder when r is divided by 53.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w - 4*w + 5*w - 15*w**2 in the form b + i*w + k*w**2 and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, e: 4, h: 1, z: 3, s: 3, i: 2}. What is prob of picking 1 m, 1 z, and 1 s?\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*k**5*m + 2*k**3*m*n + 4*k**3*m + 4*k**2 + 5*k*m + 2*m*n wrt k.\nAnswer: -360*k**2*m + 12*m*n + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 - 0 - -1*35.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21290 + -13713. What are the prime factors of v?\nAnswer: 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (2 + -1 - (-33 - -31))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y - 18. Let n(s) = s - 5. Let z(j) = -22*n(j) + 6*v(j). Determine z(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w - 12*w = -401 + 22 - 281 for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 1\/9, 5, 1\/7 in decreasing order.\nAnswer: 5, 1\/4, 1\/7, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-134930)\/(-3090) - (-1 + 48).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-414)\/92)\/(2\/(-84)). Let h = a - 187. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1069 + 88 = -183*r + 1215 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-3))\/(3\/54). Let z = -25 - m. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-27)\/72)\/(-9).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.047 and -32.\nAnswer: 1.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 q when three letters picked without replacement from {x: 3, p: 4, q: 6}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 15. What is the remainder when l is divided by ((-2)\/3)\/(4\/(-42))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 2*i**2 - 10. Give y(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1035009, -1 in ascending order.\nAnswer: -8, -1, 1035009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 840096040.\nAnswer: 2, 5, 7, 3000343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15305261664 and 391.\nAnswer: 15305262055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 117.31753 to 2 decimal places.\nAnswer: 117.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3\/2)\/(n\/(n**(-2\/23)*n)) assuming n is positive.\nAnswer: n**(-73\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**10*b*b\/(b\/((b\/(b\/(b\/b**(-1\/8)*b*b)))\/b)))**(8\/15) assuming b is positive.\nAnswer: b**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 487.4921m in micrometers?\nAnswer: 487492100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 - 1. Let d = -1218\/593 + -1081873\/6523. Let g = 168 + d. What is the biggest value in 0.5, g, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b = 37*b + b + 240 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*4\/(-12))\/((-392)\/(-336)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 999721 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 {c: 1, u: 2, s: 5, k: 1, e: 3}. Give prob of sequence eu.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 501455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 121*q**2 - 196*q**2 + 1432*q**2 in the form g*q + o + k*q**2 and give k.\nAnswer: 1357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -470, -480, -504, -548, -618?\n\"Answer: -s**3 - s**2 - 468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6169 and 922763?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258322 is divided by 1231?\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 107*j**5\/30 + 97*j**4\/24 - 8*j**2 - 10. Find the second derivative of m(h) wrt h.\nAnswer: 428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83860468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svssvvs. What is prob of sequence sv?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -7*t + 11*t + 45, 45 = 4*v - 5*t for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13565*i - 40682*i + 13567*i + 13549*i.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 2 = -l + 2*u, 16 = 4*l - 2*u. Solve 3*b - l*b = 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -152533123 (base 6) to base 10\nAnswer: -3216075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 3*o. What is x(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1248.507 rounded to the nearest ten?\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*n**3 + 7*n**3 - 2*n - n**5 + (-5*n**2 + 6*n**2 + 0*n**2)*(-85*n**3 + 46*n**3 + 41*n**3).\nAnswer: n**5 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6 - -6) + 4\/14. Which is the nearest to 0? (a) 1 (b) 0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 20 - 8. What is the remainder when 1\/(-3) - (-106)\/3 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*a = -121*a - 6628. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1\/3))**2*(z*z*z*z*z\/((z\/(z*z*(z**0\/z)\/z*z))\/z)*z)**(-11))**1 assuming z is positive.\nAnswer: z**(-227\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in 5.5, -0.02, 0.1101, 0.4, 3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -674.84096 and 0.19601.\nAnswer: -674.64495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(12)*3)\/sqrt(4) + 3 - (sqrt(3267) + (sqrt(3267) - ((sqrt(3267)*-1)**2 + sqrt(3267))) + sqrt(3267) - sqrt(2700)*-2).\nAnswer: -141*sqrt(3) + 3270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 6 - 2 - 59*i.\nAnswer: -59*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/2 (b) 9\/629 (c) -8 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 345959*n**2 + 183386*n wrt n?\nAnswer: 691918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -17198955, -34397947, -51596937, -68795925, -85994911?\n\"Answer: q**2 - 17198995*q + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 194701 to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 8*a + 9. Let p(n) = 2*n**2 + 2*n - 6. Let d be p(-3). Suppose -2*i - 2*g - 2 - d = 0, 0 = -i - 5*g + 16. What are the prime factors of h(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13624.0421*-0.3\nAnswer: -4087.21263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 86875 and 4170?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-16))\/((-20)\/(-40))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 247001681 by -2.\nAnswer: -247001681\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 67728 bigger than 4808652\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2993 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: b\"What is the sth term of 338, 1433, 3292, 5921, 9326, 13513, 18488?\n\"Answer: s**3 + 376*s**2 - 40*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**2)*i*i*i**(4\/5))**(8\/5))**29 assuming i is positive.\nAnswer: i**(928\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -54 - -a724?\nAnswer: a6a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -26*i + 1\/2*i**3 + 0 + 3*i**2. What is u(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -y + 15, -3*d + 3 = -4*y + 29. Calculate the least common multiple of 4 and ((-1)\/(-3))\/(y\/150).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 10:54 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, l: 3}. Give prob of picking 2 l and 1 y.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 322, 644, 966, 1288, 1610, 1932?\n\"Answer: 322*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 2.2242?\nAnswer: 0.66726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*f - 7*f - 3*f)*(-9 - 2 - 1) - 7*f + 2*f + 11*f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7758344 and 12114.\nAnswer: 1346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19923 - -20184. Is p a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -149*q**2 + 6*q - 2. Let c be v(2). Let l = c + 590. Sort -5, 0, l, 6 in increasing order.\nAnswer: -5, 0, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -56*r**2 - 3258*r - 587. Give c(-58).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**5\/60 - 5*c**4\/72 + c**3\/9 - c**2\/2 - 2*c. Let g(w) be the first derivative of p(w). Factor g(n).\nAnswer: (n - 1)*(3*n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76126327 a multiple of 929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.6 + 10.4. Let r = -0.8 + w. Which is the nearest to -1\/2? (a) -2 (b) r (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -984203 or -984158?\nAnswer: -984203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 3:27 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 t when two letters picked without replacement from iwtwtfmtftkwt?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 1 + 36. Let r be 4\/7 + (-15)\/(-35) - -5. Which is bigger: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257083815 to the power of 1\/3, to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of ((-40)\/6)\/(20\/(-90))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22453 and 0.2?\nAnswer: -4490.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 439 - 232. What are the prime factors of s?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 21877.55km?\nAnswer: 21877550000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 47*p + 1. Let d(r) = 2*r**2. Calculate d(n(m)).\nAnswer: 4418*m**2 + 188*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -137\/105 - -54\/35. Let v = g - 41\/84. Which is the third smallest value? (a) v (b) 0 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -3 + 55 + -53.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from syyssysyyy. Give prob of picking 3 s.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - 6*(-14)\/21. Suppose 3*t + 0*w = -2*w + 24, -29 = -2*t + i*w. Solve -6*h = -t*h - 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.085891 to zero dps.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 10) in base 5?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -54\/113 - 5\/226. What is the closest to 5\/7 in -0.2, j, -3, -3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/8 + (63\/(-2) - -4) - -11\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.855 - -6.245. Let t = -56.41 - n. What is t rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 + 66. Suppose 0*u = 5*t - 4*u - w, -3*u + 9 = 2*t. Solve -3*q + t = 0, 0*q = -j - 3*q + 8 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 times -471.7?\nAnswer: -8490.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m = 6*m + 18664. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 396*s**2 + 1995*s - 71. Calculate h(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15650389 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 - 5. Let o(y) = -y**2 - 1. Let q be o(-2). Let h = 294 - 292. Let g(s) = s**2 - 13*s**2 + 4 - 9*s**h + 19*s**2. Calculate q*g(t) - 4*k(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + 0 + 7)*(d - 21*d - 10*d) + (-2 + 3 - 3)*(-7*d + 4*d + 0*d) + 0*d + 0*d - d to s + j*d and give j.\nAnswer: -445","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1094\/2833185?\nAnswer: -1094\/2833185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 100. Let q(m) = 3*m + 2. Let k(r) = p(r) + 4*q(r). Does 23 divide k(32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 74603 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55879529?\nAnswer: 73, 139, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 929224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10221.5568 and -1548.\nAnswer: 8673.5568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 15428 (b) 0.11 (c) -8 (d) 0.5 (e) 0.1 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*v = 69, 6 - 3 = v. Let c be 57\/((-171)\/(-246)) - 16. Calculate the highest common divisor of y and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 - (-13 - (-4 + -1 + (13 - 9)))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150 is divided by 55.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j**2 - 2. Suppose 0 = -4*m - 34 + 122. Let z(n) = 24 + m - 7*n**2 - 50. Give 11*g(i) - 6*z(i).\nAnswer: -2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v + 27. Let g be a(11). Let y = 43 + -39. Solve 0*u - 14 = -y*s + 2*u, 4*u = g*s - 25 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 397495\/2769 or 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - -43) + -41 + -11?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + 0 + ((-78)\/12 - -9). Let s = -14\/9 - -8\/9. Which is the biggest value? (a) 4\/9 (b) -10 (c) o (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 195.78 + 120.26. Let d = y - 310. Let w = d + 0.86. What is w rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10 + 64)*262\/4.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/2)\/w)**32)**(1\/4) assuming w is positive.\nAnswer: w**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -67 - -83. Which is smaller: v or 20?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 278*y + 31306. Give o(-86).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43423 - -43423.029481. What is h rounded to 3 decimal places?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40813 - 8*f**4 + 11*f**4 + 40814 - 300*f**3 + 3*f to the form k*f**3 + s*f**2 + q*f**4 + n*f + j and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15580.4 or -3392?\nAnswer: -3392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -130, -200, -272, -346?\nAnswer: -422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x + 5. Suppose -5*w + d + 1 = 0, -3*w + 6*w - d = 1. Calculate i(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1400 and 2310?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 949604210 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w + 8 - 5 - 3*w + 4*w + 8*w**3. Let j(a) = 7*a**3 + 4*a + 2. Give 5*j(g) - 4*n(g).\nAnswer: 3*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 738.5433 to the nearest integer.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 239, 218, 201, 188?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -5*v**2 + 2*v - 1. Let w be l(1). Let n be w\/((-21)\/9 - -3). Let x(a) = a**3 + 5*a**2 - 5*a - 1. What is x(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -5\/6*x**3 + 3\/2*x**2 - 1\/6*x**4 + 27*x - 3. Let d(q) be the first derivative of w(q). Determine d(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 446 = 5*d, -d = -4*m - 0*d + 458. Is m a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-24) + 10\/8 + -12. Let k(s) = -17*s + 10. Let n be k(l). Let q(d) = -6*d - n + 394 - 192. Calculate q(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1245112 - -104?\nAnswer: 1245216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*y - 109*y = -6*y + 43*y - 7568 for y.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-65891)\/2)\/((-19)\/(-38)). Let g = -44544 - w. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 22*g**2 + 23*g - 16. Suppose -2*b - 75 = -4*b - 5*j, 4*j + 204 = 5*b. Let k = -19 + b. Is 11 a factor of m(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*x**3 - 3200 + 1596 + 1604.\nAnswer: 31*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 46?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 0*q + 7 - 5949*q**2 - 75847*q**2 - q. Let u be j(5). Let l = -8844898 - u. Round l to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -242*g**4 + 400 - 272*g**4 + 70 + 111*g**4 wrt g?\nAnswer: -1612*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2823, 5651, 8479, 11307?\n\"Answer: 2828*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*w**2 + 22*w**2 - 1 - 51*w**2 - 1 to the form p + l*w**2 + j*w and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.36 (b) 5 (c) -3 (d) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 - (0 - 22 - (-52 + 49)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 10*p + 12*p - 25*p + 7*p. Let u(r) = 2*r**2 + 27. What is u(w(x))?\nAnswer: 32*x**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31357 greater than -261\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a - 18. Let p(u) = 7*u + 1. Let b(f) = 14*f + 1. Let q(k) = -12*k - 1. Let r(i) = -2*b(i) - 3*q(i). Let j(w) = p(w) - r(w). Determine g(j(t)).\nAnswer: -3*t - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 6*s + 8. Let k be u(-6). Let a(r) = r - 4. Let b be a(k). Suppose b*j - 47 = 81. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4428973 + 3023199\nAnswer: -1405774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -31, -0.044, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**5 - 2*t**5 + 2*t**5 + (1916*t - 2377*t**2 - 1916*t)*(-t + t - 2*t**3))*(0 - 1 - 1)*(-1 + 1 + 2).\nAnswer: -19020*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -112*l - 1963. What is z(-25)?\nAnswer: 837","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b - 4. Let t(p) = 2 - 12 + 0*p - 9*p - 11. Suppose 103 = -18*z - 95. Determine z*y(k) + 2*t(k).\nAnswer: 4*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.6 + 6.4. Let k = -15 + x. Which is the third biggest value? (a) k (b) 1 (c) -0.3 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - r - 10. Let g be f(-9). Suppose 0 = 8*p - g. Solve -p*d - 1 = -9*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -185\/2 and 0.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -o + 3*a + 60, -o - 8 = 5*a. Solve 2*d + 14 = 4*q - 2, -o = -4*q + d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3\/2, -253, -1\/47, 4 in descending order.\nAnswer: 5, 4, -1\/47, -3\/2, -253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33236*b = -l - 33234*b + 44, -2*l + 3*b + 64 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*q - 814370*q**2 + 22*q - 24*q**3.\nAnswer: -24*q**3 - 814370*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 402\/18 + 2\/(-6). Does 32 divide 1412\/x - (-4)\/(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15595839400 rounded to the nearest 1000000?\nAnswer: -15596000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s**2 + 2*s + 2. Let g(c) = 4*c**2 + 3*c + 3. Let h(k) = 6*a(k) - 5*g(k). Let n(u) = 2*u**2 - u - 1. What is -3*h(q) + 7*n(q)?\nAnswer: 2*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 937 is divided by 236.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 8662043?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnlnlnnndlnll. What is prob of sequence dn?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/7)\/((-12)\/(6\/(-2))).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32417 and -23?\nAnswer: -745591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56\/15 - -68\/15. Suppose 0 = 3*x + 3*s + 3, x - 4*x - 2*s = -2. Sort 3, n, x, 0.3.\nAnswer: 0.3, n, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b - 1\/3*b**3 - 1\/20*b**5 - 1\/4*b**4 + 0 + 1\/2*b**2. Is d(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffftytyft. Give prob of sequence ftf.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1600289.\nAnswer: 769, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 919*k + 9987. Determine g(-10).\nAnswer: 797","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2*-49922\nAnswer: 99844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -0.1 (c) 6 (d) 4 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 9*z - 14*z = -3*z + 17, -22*x = -19*x + 11*z - 84 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w**2 - 33*w - 121. Is t(-21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 divided by -3?\nAnswer: -116\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 10\/3*r**2 - 1\/3*r**4 + 0*r - 11\/3*r**3 = 0. Calculate r.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 0.1852, 8, 0.3, -20\/3.\nAnswer: -20\/3, 0.1852, 0.3, 8, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 6:33 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 8 + 3*f + 15 - 4*f**2 + 3*f. Let n be b(5). Suppose 0 = n*p - 61*p - 5. Is p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/420 and -109\/9212?\nAnswer: 138180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 - 1) + 33 + 19 is divided by 39.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*-244*(-5)\/10. Suppose -2*l - 4*u - b = 0, 4*l - 5*u - 293 = 5*l. Let s = -102 - l. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37)\/(-12) - 6\/(-36)*-14?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 + 126 = d. Let s = d + -232. Is s a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 - c - 1. Let k(v) = 6*v**3 + 2*v + 3. Give -k(y) - 2*z(y).\nAnswer: -6*y**3 - 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 17566.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 471011390?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.077, 0.3, 57\/4, -3?\nAnswer: 1.077","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-12))\/((-2)\/(-6)). Let q = 0.9 + -2.9. Which is the nearest to q? (a) 5 (b) d (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 6 - 6*w + 8*w)*(13*w - 4*w + 4*w).\nAnswer: 26*w**2 - 260*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 7:37 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -788b4b - 3?\nAnswer: -788b4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 25883 = 4167028\/161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8047505957.\nAnswer: 37, 47, 4627663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14331411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*w + 104 = 7*b, -5*b + w + 112 = 0. Solve 0 = 269*q - 258*q + b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w**5 + 1580*w**4 + 117535*w**3 + 114720*w**2 - 86940*w = 0.\nAnswer: -46, -3\/2, 0, 1\/2, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, l: 1}. What is prob of sequence yyy?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 5:22 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7876?\nAnswer: 2, 11, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 275291, 1 in descending order.\nAnswer: 275291, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkiata. What is prob of picking 1 t and 1 i?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-15)\/(-10) + -1)*0. Sort a, -0.2, -3, -5 in descending order.\nAnswer: a, -0.2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -281 + 284. Solve 4*j - 14 = o, -v*o - 3*j = -20 + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 0*u**2 - 1\/12*u**4 + 0 - 44*u - 4\/3*u**3. Determine q(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1160234.\nAnswer: -2\/580117","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1 + 2*sqrt(17)*-2 + -2.\nAnswer: -4*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.254813 to three decimal places.\nAnswer: 0.255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5\/3501 - -150413\/91026. What is the common denominator of -39\/16 and m?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -65 + 1 + (3 - (-40 - -21))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6375)\/300 - -22 - (-354)\/8.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3)*f)**(-26) assuming f is positive.\nAnswer: f**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + (-78)\/(-9))\/(5\/1035). Suppose 2*k = -u + k - 300, 5*k - m = 4*u. Which is smaller: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 227224380 to the nearest one million.\nAnswer: 227000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 92*h**2 + 940*h + 2934. Give a(-101).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 15*c + 52. Let n be x(-4). Let h be (-1)\/(-4) - (118\/n - -1). Calculate the highest common factor of 266 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is ((-276)\/24 + 11)*-50782 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1765?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 4*w - 1. Let u be c(5). Suppose -u*y - 3*m + m = -24, -m = -y. Suppose 0 = -y*q + 372 - 56. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.22 + 0.12. Let d be ((-4)\/10)\/(2\/10). Let z be (d - -1)\/((-1)\/2). What is the nearest to 0 in p, 5, z?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ici when three letters picked without replacement from {g: 9, i: 6, w: 3, c: 1}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11413234 - 103?\nAnswer: -11413342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5329 - 4079. What is the highest common divisor of 150 and r?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, -0.04, -1\/13, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(1100) - (1 + sqrt(1100))) + -5 - sqrt(1100))*5 - (1*sqrt(1100)*6 + -3 + sqrt(1100) + -1 + sqrt(1100)))**2.\nAnswer: 13160*sqrt(11) + 62736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.4, -0.0615 in decreasing order.\nAnswer: 5, -0.0615, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -101 and -3.833?\nAnswer: 97.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y + 1370448 = 35*y + 30*y. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = -4*i + 2*i. Suppose -x + i = -41. Is x a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 29961*b - 3 - 30012*b + (0 - 1 + 2)*(-3*b + 3*b - 2*b) - 3*b - 3 + 3)*(0 + 0 - 2*b).\nAnswer: 112*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 107740.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 7*s**3 - 6*s**2 - 6*s - 7. Let m(j) = j**2 + j + 1. Let c(f) = 6*m(f) + o(f). Let h be c(1). Is h\/21 - 468\/(-28) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*k - 3*l - 215 = 0, 2*k - 8*l + 3*l - 15 = -0*l for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.775869ug in nanograms?\nAnswer: 8775.869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05022 * -0.1.\nAnswer: 0.005022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*k**4 + 9*k**3 - 96*k**2 - 144*k.\nAnswer: 3*k*(k - 4)*(k + 4)*(2*k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93987249 is divided by 246.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 16 = -4*p - 4*t, p + 22 = -5*t. What are the prime factors of p - -19 - (1 - -2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 257 - 1796\/7. Let a be ((-21)\/(-14))\/(21\/6)*6. Factor v*r**2 + 24\/7 - a*r.\nAnswer: 3*(r - 4)*(r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**11\/p)\/(p*p**(-7)))**(8\/7))**(-28) assuming p is positive.\nAnswer: p**(-512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 12168*c**4 + 12294789*c**3 + 29674136*c**2 - 6475056*c + 338688 = 0. Calculate c.\nAnswer: -1008, -21\/8, 4\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 + 79. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508375757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 72 = 4*x, 3*x + 3*m = 52 + 2. Suppose 19*z - x*z = 4. Solve -3*g - 16 + 3 = 2*c, 19 = -c - z*g for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yfvh when four letters picked without replacement from vjjfhjjfjjffjjjjjyv?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 0 = 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*a = 14, -5*w = -3*w + 3*a - 10. Let x be (w + -40)*(-2)\/(-1). Let r = -42 - x. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1812 is divided by 581.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d - 2*d - d)*((-4 + 2 + 3)*(5*d - 3 + 3) + 0 + 0 + 2*d) to g + t*d**2 + r*d and give t.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 122 + -123. Suppose 0 = 2*i - 4*i. Let s = u + i. Let w(l) = -4*l**2. Calculate w(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/(-24)*((-9)\/4)\/(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3144009 to the nearest integer?\nAnswer: 1773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32026 is divided by 32020?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 15 = -2*z, -9*z - 3*u = -7*z + 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (54\/567)\/((-4)\/7). Which is the closest to y? (a) 0.5 (b) 10 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**4\/2 - 21999*i**3 + 16077375*i**2\/2 = 0. Calculate i.\nAnswer: 0, 375, 14291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 45981 less than 46115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 120, 230, 326, 402, 452, 470, 450?\n\"Answer: -m**3 - m**2 + 120*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144 and 1025280.\nAnswer: 1025280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 + 0)\/(-3 + 2). Suppose 0 = x*j - 143 - 302. Suppose -4*w + j = -483. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/14)\/((-3)\/((-224)\/(-7040)*-20))\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*b**4 + 83*b**4 + 8*b**4 + (b**2 - b**2 - 2*b**2)*(0*b + 0*b + 2*b**2) to t + m*b**4 + q*b**2 + p*b + x*b**3 and give m.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 9, y: 5}. What is prob of sequence ym?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7589*n = 7592*n - h - 7, -2*n - 5*h = -16 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 1)*(24*i + 22*i - 15*i + 11*i).\nAnswer: 210*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, l: 2, c: 3, x: 8}. What is prob of sequence xccf?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 218 + -24. Is 18 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003503 rounded to six dps?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 262 - 263. Sort 2, 12, 1, l in increasing order.\nAnswer: l, 1, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31966 + 31938. What is the nearest to -0.1 in -0.32, s, 0.5, 5?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.34722ns to milliseconds.\nAnswer: 0.00004134722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126992.\nAnswer: 2, 7937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 17. Suppose -4*t = z, -7*i + 35 = -3*i + 3*t. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259\/5 > 53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267165 is divided by 53341.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 2*i + 2. Let x = -33 + 38. Suppose 5*l - 7 = -4*j - 2, x*j + 2 = 2*l. What is the least common multiple of q(j) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 3:06 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 0 + -2*-1*sqrt(180)*-2.\nAnswer: -24*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 552*r + 14057. Give g(-25).\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5867716 - 2*z**2 + 5867716.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.46037 and -0.5107.\nAnswer: -0.05033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 44*r**3 - 12 + 36 - 16 - 11*r**2 + 30*r**3 - r as u + p*r**2 + c*r + f*r**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.244 - 87.756. Let w = -87.5 - v. Let q = 3.94 + 0.06. Which is the closest to q? (a) -0.2 (b) 1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 601 - 575. Suppose -r*f + 74 + 56 = 0. Which is the fourth biggest value? (a) f (b) -14\/5 (c) 6 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -646 = -63*w + 610 - 248 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*l = -q - 3631, 4*l + 3624 = 4*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4477 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.32798 decades to years.\nAnswer: 733.2798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16263 or 16261?\nAnswer: 16261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((20 + -7 - 0) + -6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 36*u**2 - 23*u - 12. Is f(-36) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -4) + -481 + -1 + 5. Let f = -267 - o. Is 45 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 359, 344, 327, 308, 287, 264, 239?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (108\/(-42))\/((-6)\/28). Let c(v) = u*v + 7 - v - 1 - v**2. Let s be c(9). Solve -4*d = 2*z + s, -z - 4*d = -9*d - 23 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 866 and 2?\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 + 39*o**2 + 62*o**2.\nAnswer: 101*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36137?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/5688 and -61\/90?\nAnswer: 28440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 407.75 - 147.75. What is the nearest to -0.1 in 0.4, 0.8, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70422.\nAnswer: 2, 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47 - 43. What is the third derivative of -o*p**5 + 18*p**2 + 4725 - 4725 wrt p?\nAnswer: -240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 + 83 + 71*s**3 - 83 to z + r*s**3 + g*s + y*s**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 3*u**5 + u**2 - 6. What is the second derivative of x(p) wrt p?\nAnswer: 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -126 - -140. Let l(p) = -p**3 + 5*p**2 + p + 1. Let n be l(5). Suppose -n = -5*m + f. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, l: 3, n: 1, k: 1, f: 2, t: 2}. What is prob of picking 1 k, 2 t, and 1 l?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*(s\/(s\/(s\/s**(-4\/43))))\/s)**10 assuming s is positive.\nAnswer: s**(470\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 4*z - 6, -3*v - 3*z + 65 = 23. Solve -2*p = 4*r + v, p + r = 6*p + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h - 3. Let d(b) = -1. Let m(u) = 3*d(u) - w(u). Let l(s) = -49*s - 2. Determine m(l(p)).\nAnswer: 49*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*s + 43 = -14*s + 4. Find g such that -3\/4*g**s + 3\/4*g - 1\/4*g**4 + 1\/2 - 1\/4*g**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o + 7. Let k(r) = r**3 + 24*r**2 + 46*r + 49. Let f be k(-22). Determine a(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252129811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*i**2 + 66082 + 11*i + 42*i**3 - 66082 wrt i.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 q when four letters picked without replacement from {d: 3, j: 3, x: 4, q: 10}.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*u, -5 = -4*u + 5*l + 8. Suppose u*r - 15 = -2*h + 11, 3*h = r + 7. Calculate the least common multiple of 11 and r.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 6\/5, -4, -55\/3, 26, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131, -260, -389, -518, -647?\nAnswer: -776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 380*z**2 - 380*z**2 + 6*z**3.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -1\/9, -1465, -3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 969605069 to the power of 1\/3, to the nearest integer?\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 6*c**2 + 11*c - 17. Let x be y(6). Let w = -44 + x. Calculate the highest common factor of 1 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = -6*s - a + 1, 5*s + a = 1. Solve -2*q - 3*g - 7 = s, -q - 9*g - 3 = -8*g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 48402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, k: 2, m: 1, i: 1, q: 1, s: 1}. What is prob of picking 1 i and 1 k?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2563 (base 8) in base 7?\nAnswer: -4032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -680 + 680.0005444. What is k rounded to 5 decimal places?\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 2 - (12 - 19)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 8:23 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -0.0486.\nAnswer: 4.9514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -8*v**3 - 17*v**2 - 11*v - 9. Let k be g(-5). What is the highest common factor of 46 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t. Let u(p) be the third derivative of 0*p**4 - 1\/12*p**5 + 0 + 0*p - 10*p**2 + 0*p**3. Calculate a(u(o)).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 48*q**2 + 3*q - 4. Let y be t(2). Let l(x) = -95*x**2 + y*x**2 + 2 - 81*x**2 - 2. Let m(z) = -9*z. Give m(l(a)).\nAnswer: -162*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 5:12 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*y + 49*y + 47*y + 41*y + 51*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*g + 26 = 36. Do -48 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16146227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5102411 (base 6) in base 10?\nAnswer: 241639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 2:36 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 51544243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence by when two letters picked without replacement from kkkykykkbykkkkkkkkbk.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q - 10. Let z be (5\/20 + (-18)\/(-8))*6. Is 5 a factor of r(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1)*z*z)\/((z*z*(z\/z**1)\/z)\/z) assuming z is positive.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 2764112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of t**4\/12 - 3*t**2\/2 + 7*t + 6. Let j(w) be the first derivative of i(w). Determine j(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 9*z + 5. Let b be q(10). Let k be (14\/21)\/1*6. Put 3, b, 0.4, k in decreasing order.\nAnswer: k, 3, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4 - 7 = 0, -2*w = 3*r - 102. Suppose 5*g + b = -31, -5*g - 2*b - r = -0*g. Let k(y) = y + 3. Let s be k(g). Which is greater: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -313 times 0.2?\nAnswer: -62.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(325)*2.\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 12 = -2*w. Suppose -2*a = -w*a. Solve -2*l + 5*m - 18 = a, 4*m - 11 = -2*l + 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 364 - 896. Let h = 532.25 + x. Let j = 1 + -0.8. Which is smaller: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 987 + -987.5. What is the closest to -17 in -13, -5, s?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 10:32 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 360 = -6*z - 2*a, 2*a = -3*z - 212. Let q = -23 - z. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -366 (base 9) in base 4?\nAnswer: -10233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 234, 7, -5, -56 in ascending order.\nAnswer: -56, -5, 3, 7, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/552 and 58\/21?\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - s + 3 + (29 - 26 + 39)*(1 - 4 + 1 + (14 - 3 + 33)*(1 + 0 + 1))*(2*s - s - 2*s) to b + j*s and give j.\nAnswer: -3613","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 617 + -418. List the prime factors of p.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 11. What is the derivative of -3*n + b + 3*n + 0*n - 2*n wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(7623)*-1)*2)**2*6.\nAnswer: 4752*sqrt(7) + 183168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*v = 6*v - 224*v + 4512 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-78)\/63 - (10 + -3 + -8). Which is the third smallest value? (a) 2\/19 (b) -1\/2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/83?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 3*g + a, 0*g - 2*g = a + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/5? (a) -20\/9 (b) 2\/3 (c) -4 (d) 0 (e) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-2*sqrt(272) + (((sqrt(272) - 2*sqrt(272))*-1)**2 - sqrt(272)).\nAnswer: 4*sqrt(17) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*s - 192 + 1016, 7*s - 1136 = 3*r. What is the greatest common factor of s and 697?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.4 + -1.6. Let p be (47\/(-94))\/(4\/136). What is the nearest to -0.2 in p, -2\/5, o, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*l + 4*r, -l - 18 = -0*l + 4*r. Let w(m) = 0*m**2 + 2*m**3 + 1 + 2*m**2 + l*m - 8*m**3. Let n(d) = -d - 4. Let t be n(-3). Give w(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of -1\/3*v**3 - 2*v + 2 + 1\/10*v**5 - v**2 + 1\/6*v**4. Let o(g) be the first derivative of u(g). Find r such that o(r) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1451, 1532, 1591, 1616, 1595?\n\"Answer: -2*j**3 + j**2 + 92*j + 1360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -12*w**2 + 42*w + 88. Give t(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*p - 20. Let j(w) = w**3 - 9*w**2 - 11*w + 12. List the prime factors of j(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 344 divide 990911264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q**2 + 4*q**2 + 3*q**2 + (-2*q + 0*q - q)*(q - 2*q + 3*q) + 7*q**2 - 9 + 9 to o*q + p + t*q**2 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2769414?\nAnswer: 2, 3, 461569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5005641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f + 29*f = 105. What is the remainder when f is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 5*j - 13, 2*j - j = 3*z - 13. Suppose z*i - 28 = -3*v - v, 0 = 3*i - 5*v - 13. Solve i = 3*t - 9 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15201 - -5.\nAnswer: 15206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -5*g**4\/12 - 3*g**2. Let y be t(-1). Suppose 801 + 9 = y*p. Calculate the highest common factor of p and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 7*k + 2. Determine y(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118409.\nAnswer: 118409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(75 + 12\/(-4) - -60*(-57)\/684).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12637093 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1390712106 a multiple of 903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -420, 4, -1, -4\/5, -1\/3, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -155039\nAnswer: -7\/155039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22220*z**2 - 11118*z**2 - 11104*z**2 - 1339*z to the form d*z + f + s*z**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**3\/5 + 131796*d**2\/5 - 1447779024*d\/5 + 5789007552\/5 = 0.\nAnswer: 4, 21964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = -1886*y + 1895*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**4 + 2*l**4 + l**4 + (-3*l**2 - 2*l**2 + 2*l**2)*(0*l - l - l + (-1 + 0 + 3)*(-l + l + 2*l) + 15*l - 10 + 10)*(206 - 15*l - 206).\nAnswer: 767*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -493 - -529.7. Let y = l + -37. Which is the second smallest value? (a) y (b) 4 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -231 - 3444?\nAnswer: -4005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/10771530 and 157\/68219690.\nAnswer: 204659070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -235 - -235.2. Which is the closest to -0.01? (a) 2\/11 (b) p (c) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-16)\/(-2))\/24)\/((-6)\/(-1404)))\/(28\/(-2))?\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 5, 4, 1, -3, 3, 7 in ascending order.\nAnswer: -7, -3, 1, 3, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1421 - 1391 = -6*s. What is the third smallest value in -7.7, s, -2.8?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 4197600?\nAnswer: 12592800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 6*k**3 + 6*k**2 - k - 459. Let h(r) = -3*r**3 - 3*r**2 + 197. Calculate -7*h(u) - 3*q(u).\nAnswer: 3*u**3 + 3*u**2 + 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3189, 12767, 28729, 51075?\n\"Answer: 3192*k**2 + 2*k - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 8*r**2 + 12*r - 5. Let z(l) = -l**3 + 8*l**2 - 13*l + 6. Let a(h) = 5*y(h) + 4*z(h). Let i be a(7). Is 10 a factor of 10*(-5)\/((-15)\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 41 = 831. Calculate the remainder when x is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44138 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1146503275 + 14.1146501075. Let p = 14 - c. Round p to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5 - 41*r**2 + r + 4*r**2 + 3*r**2. Let w be l(-3). Let c = w - -723. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4*m**2 + 0 + 6*m**2 + (-4*m**2 + 11*m**2 + 4*m**2)*(5 - 3 + 0) - 4*m**2 + 3*m**2 + 6*m**2 to the form h*m + l*m**2 + q and give l.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 6. Let k = -4 + 6. Suppose -k*y + 0 = -14. What is the lowest common multiple of y and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98 + -18. Suppose 0 = c - b + 56. Calculate the remainder when 189 is divided by c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.91323746 rounded to 1 decimal place?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - (-2322)\/(-4 - -2). Let c = 568 + b. Round c to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1832106 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4438\/(-2219) - ((-10)\/12 + -1)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9.8 in -1\/12, -1, 1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 148.7934 millimeters in micrometers?\nAnswer: 148793.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 248*z**2 + 261*z + 3329. Calculate b(-247).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 - -13. Let y be (9\/b)\/(2\/(-8)). Suppose y*p + 228 = -2*s + 883, -3*p - 685 = -2*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20.101 * 4\nAnswer: -80.404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1572\/14 + (-2)\/7. Suppose 5*a + 4*i - 57 - 11 = 0, 61 = 4*a + i. What is the greatest common divisor of t and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 280 and 1400?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8173.52 meters to millimeters.\nAnswer: 8173520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 368757209 a multiple of 3028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14957566 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 4*j - 25 = 3*b, -b - 20 = -4*j. Let q(h) = 3*h + 2. Let t be q(j). Suppose t = 2*y + 5. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -138*p + 7173. Give k(52).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -550 and -83325.\nAnswer: 45828750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -c - 3*i + 204, 4*c = -i + 849. What is the remainder when c is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*m + 2*m - 4*m)*(10*m**3 - m**3 - 8*m**3) - m**4 + 0*m**4 - 3*m**4)*(m - m + m).\nAnswer: -8*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 134.0000121 - 134. Round z to 6 decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 48 - 144. Does 24 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7549 rounded to one dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 18455, 74721, 168505, 299813, 468651, 675025, 918941, 1200405?\n\"Answer: a**3 + 18753*a**2 - 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**3 - 4252*i**2*n**3 - 133*i**2 - 10*n**3 + 2*n**2 + 1176*n - 2 with respect to i.\nAnswer: -3*i**2 - 8504*i*n**3 - 266*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -277 in -0.1, 6, 38?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25\/8824627 or 0?\nAnswer: 25\/8824627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.3 - -0.9. Let y = 112890 + -338672\/3. What is the fourth biggest value in y, k, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -76697*u + 6. Let h be t(-1). Suppose 0 = -13*a + 2*a + h. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299460 is divided by 59.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 - 2*i + 17 + 22 - 5*i + 6*i. Calculate the remainder when p(0) is divided by 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.20115124 times -0.07\nAnswer: 0.0140805868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(20)\/sqrt(2) - 5*-2*sqrt(10))\/(sqrt(98) + (sqrt(98) - (sqrt(98) + sqrt(98)*2 - sqrt(98))*5)).\nAnswer: -sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6966 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 135 and 1215?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-40))**(7\/13) assuming n is positive.\nAnswer: n**(-280\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + -2 - (-218 - -166).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/139 - 329\/2363. Is -1 != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.4, 16, 0.1, 1\/8, 0.01 in decreasing order.\nAnswer: 16, 0.4, 1\/3, 1\/8, 0.1, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 2676?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9010 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yaaaaaaa. Give prob of picking 2 a.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -651*a**3*h**2*p + a**2*h - a*p - 13*a - 2*h**2*p wrt a.\nAnswer: -3906*h**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*v + 8 = 0, -v = 2*v - 3. Let h = -7 - b. Which is smaller: h or 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-18))\/(-8 - -9)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus 793.5232852?\nAnswer: 790.5232852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 11\/10 of a day?\nAnswer: 95040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 + 146. What is the highest common divisor of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -9*s**2 - 5493*s\/5 + 135198\/5 = 0.\nAnswer: -2146\/15, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*p**4 + 8\/9*p**3 - 8\/9 - 8\/9*p + 2\/3*p**2.\nAnswer: 2*(p - 1)*(p + 1)*(p + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238880.\nAnswer: 2, 5, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 5:00 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 64\/6*(14 - 20). Let f = -44 - m. Suppose 3*z - 2*z + 2 = 5*d, -5*d = 5*z - f. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 1 + 9*j + 11 + 2034*j**3 - 12*j**2 - 2033*j**3. Give u(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000067680563 to seven dps.\nAnswer: -0.0000677","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**3 + q. Let o be h(-1). Which is the fourth biggest value? (a) 5\/2 (b) o (c) -0.3 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 u, and 2 t when four letters picked without replacement from {u: 2, q: 1, n: 1, t: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65237496?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, h: 8, b: 2}. Give prob of sequence shhs.\nAnswer: 14\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9 and 104243293.619778?\nAnswer: 104243284.619778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -5\/6*y**3 - 2*y**2 - 1\/12*y**4 - 6*y + 0. Let h be r(-2). Solve 0 = h*g - g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**5 + 288*b**4 - 532*b**3 - 2040*b**2 + 5648*b - 3360 = 0. Calculate b.\nAnswer: -3, 1, 2, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 20 - 53 = -4*k, k - 5*a = 3. Let o be (-4)\/16 - (-170)\/k. Is (-4)\/(-6) + 1477\/o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/1*(-10)\/(50\/15).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m**4 - 2*m**3 + 2*m + 11. Let c(z) = -21*z**4 - 11*z**3 + 11*z + 55. Let o(j) = -2*c(j) + 11*w(j). What is the derivative of o(x) wrt x?\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82110572?\nAnswer: 2, 83, 109, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 2)*(-2*c + 3*c - 4*c) - 718470 + 718470 - 192*c.\nAnswer: -180*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 601300, 602543, 603786, 605029, 606272?\n\"Answer: 1243*l + 600057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 54a01 + 0?\nAnswer: 54a01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*x + 684 = -17*x. Which is the fourth biggest value? (a) 2\/15 (b) 29 (c) -3\/2 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-2*(-4)\/(-4)). Suppose m = -p + 7*p - 342. Suppose -4*t + 39 = -p. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/2120 and -89\/93460?\nAnswer: 9906760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8594 is divided by 109.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/19080 and 121\/72.\nAnswer: 19080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-22373)\/(-5) - (-69)\/(-115) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 5*f + 4. Suppose 8*j = 5*j - 15. Determine z(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 1. Let k(s) = -7*s**2 - 10*s + 18. Let v(b) = k(b) - 5*y(b). Let m be v(-6). Is -4*1 + (-4 - (-1678 - m)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/13*z**5 - 4\/13*z**4 + 0*z + 0*z**2 + 2\/13*z**3 + 0 = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 49422 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-4*(sqrt(102) - (sqrt(102) + 2*sqrt(102))))\/((sqrt(42) - (sqrt(42) + (sqrt(168)\/sqrt(4)*-4 - sqrt(42))))\/sqrt(7)) + 3.\nAnswer: -8*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 2\/5, -1, 1\/131?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 419*m + 20219 = -2826 for m.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 186.950039?\nAnswer: 74.7800156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 51 = 4*v, -85523*r + 2*v + 201 = -85518*r for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 308805 and 361.\nAnswer: 111478605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + f + 3*f)*(-383*f - 1258*f + 376*f).\nAnswer: -6325*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7988 - -7975. Suppose -2*p + 4 = -4*a - 18, -4*p - 4*a = 4. What is the biggest value in j, p, -1\/4, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95064652 divided by -7\nAnswer: 95064652\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -174. List the prime factors of s + -6 + -2 + -1 + -1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 54.\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 3402 + 6684. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.11 - 0.89. Let g be (3\/(-6))\/((-4)\/16). Suppose g*x = 4 - 0. Which is the nearest to z? (a) 5 (b) x (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**4 - 17364*l**3 - 17358*l**2 + 17364*l + 17361 = 0. Calculate l.\nAnswer: -5787, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 58\/(-160) + (-2)\/(-32) + (-132)\/(-40). Solve 5 = 4*t + 5*a, 4*a + x = -9 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/5)\/z**(-1\/44))\/(z*z*z**(7\/4)*z*z**(-3\/2)\/z) assuming z is positive.\nAnswer: z**(-289\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + r = 6*r + 36, -4*h - 3*r - 518 + 522 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**3\/4 + 455*b**2 - 63425*b\/4 + 242055\/2 = 0.\nAnswer: 11, 27, 326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 63988499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d6c - -41?\nAnswer: dad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 3. Let 0 - 3 + 5*o**w + 9*o**3 - 12*o**4 - 2*o**2 + 3 = 0. Calculate o.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1743 = -26*r + 701. What is the highest common factor of 235 and r?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = 3*z - l, -44 = -5*z + 2*l + 35 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -263 - -265. Solve -5*r - w*j = -2*r - 2, -3*r - 4*j + 4 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77829293 to the power of 1\/3, to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 244502 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 + 43 + (-69 - -4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**1)**(-17\/4))**48)**(-18) assuming g is positive.\nAnswer: g**3672","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-25))\/((-126720)\/(-9900))?\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 82*a**2 + 165*a - 160. Determine p(-84).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**5\/4 + 47*g**4 - 454*g**3 + 3231*g**2\/2 - 9639*g\/4 + 2403\/2 = 0.\nAnswer: 1, 3, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-93)\/155 - (-599)\/(-90)) + 8 - -1 and -49\/7740?\nAnswer: 7740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*o + 12 = -191*o, 5*i + 3*o + 59 = 0 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5*l**3 - 2*l**3 - l**3)*(6 - 1 - 3) - 2*l**3 + l**3 + 3*l**3)*(6*l + 9*l - 7*l) as v*l**3 + d*l**2 + k*l**4 + x + c*l and give k.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 3*s**2\/2 + 2. Let y(r) = r**2. Give y(b(v)).\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g - 25*g**2 - 65 + 3*g + 61 - 8*g in the form p*g**2 + c*g + j and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.12300116 - 0.123. Round a to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85322*z**2 + 71699*z**2 - 59312*z**2 + 37889*z**2.\nAnswer: 135598*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4880 and 296460.\nAnswer: 1185840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19.784 - 20. What is v rounded to two decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36834993 is divided by 217.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*((-2)\/(-4) + 1). Let b(q) = 10*q. Let z(m) = 2*m. Let r = -192 - -94. Let i = -114 - r. Calculate i*z(k) + y*b(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2489496916 to four dps.\nAnswer: 0.2489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 264 and 1915639?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15, 15, 25, 51, 99, 175, 285?\n\"Answer: c**3 - c**2 - 4*c + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-61*j - 44*j + 106*j - 39*j)*(2 - 2 + 1) to q + n*j and give n.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1899*g = -25373 + 6383 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5698907*u + 5698907*u - 6*u**3.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7105668+318524\nAnswer: -6787144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k - 15. Let w be m(6). Suppose -2 = w*s - 8. Let c be s\/(-6 + 2 + 2). Put -5, 4, c in descending order.\nAnswer: 4, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4)\/h*h**5)**(3\/35)\/((h*h**(-2\/9)\/h*h)\/(h*h*h\/(h\/(h\/(h**1\/h*h)))))**19 assuming h is positive.\nAnswer: h**(209\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1837\/4 in 0.194, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13964 + 13420 = 978*p for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.939 less than -286846.8?\nAnswer: -286847.739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 204355511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.14721 or 7\/45?\nAnswer: 0.14721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 0*r + 0*r - 2*r. Let q = -453 - -722. Let v(y) = -13*y + q - 539 + 270. Calculate g(v(t)).\nAnswer: 26*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**3 - 15*v**3 - 7788*v**2 + 7788*v**2.\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 495 times 7?\nAnswer: 3465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-8) - 30\/(-4). Let r(o) = o**3 - 8*o**2 + 9*o + 5. Does 19 divide r(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2 + 61*l\/3 - 60.\nAnswer: (l + 9)*(9*l - 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 242278 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 19*g**2 + 6*g + 29. Let z be s(7). Suppose z - 1056 = -2*i. Calculate the remainder when 71 is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.265468206201 minus -0.4?\nAnswer: 0.665468206201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -16 - -18 - (-6 - -1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 613 is divided by (336\/(-112) - (-22)\/7) + 2784\/14.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(9\/2))**(2\/31) assuming d is positive.\nAnswer: d**(9\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*y = -339, 7*y - 2*y + 337 = 3*o. Does 19 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 245\/(-7)*(-5 + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 26819\nAnswer: 10727.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 5*t = -7, 9*t = -4*y + 7*t for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = 22*v - 19*v. Let g = 113 + v. Suppose -3 - 11 = -l. What is the remainder when g is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**2 - 10*g - 21. What is the remainder when d(-4) is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (104\/16)\/13*-8. Put -3, d, 2 in decreasing order.\nAnswer: 2, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001098 to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/120 and -29\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*1 + (-10 - -14). Let z = x + -5. Solve 0 = 5*n + 3*f + 22, -2*n + z*f - 1 = 14 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33839 minus -0.3?\nAnswer: -33838.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 31 = 4*h - 2*m, 3*m + 27 = -3*h. Let f(b) = 4*b + 72. Let y be f(h). Calculate the greatest common factor of y and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 580 by 29.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 29420625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1572 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 - 0.7. Let z = 0.4 - m. Let d(j) = j**2 + 6*j - 4. Let n be d(-7). Which is the second biggest value? (a) -0.2 (b) n (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7272, -7252, -7232, -7212, -7192?\n\"Answer: 20*o - 7292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 170\/16 + 0 + -2 and -3*1\/(11\/(-7)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g, 40*a + 5*g = 39*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -8*o + 6*o - 93 + 90 + 6*o**2. Let i(p) = 5*p**2 - p - 2. Give 4*i(k) - 3*t(k).\nAnswer: 2*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 591121.\nAnswer: 43, 59, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + 3 + sqrt(1008) + 4 + ((1*sqrt(1008) + 0 - sqrt(1008)) + sqrt(1008) - sqrt(1008)))**2.\nAnswer: 336*sqrt(7) + 4081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 15*f**2 - 31*f + 3. Let k be l(2). Let n(z) = 2*z**2 + 1. Give n(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-88)\/(-20) - 2\/5. Suppose -2*p = -239 + 297. Let s = -32 - p. Put s, -4, -1, y in ascending order.\nAnswer: -4, s, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -74*r + 864 - 50. Let y(x) be the first derivative of 1\/6*x**3 + 1\/2*x**2 + r + 0*x. Factor y(t).\nAnswer: t*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q. Let d(k) be the third derivative of 0*k + 0 - 23*k**2 + 1\/4*k**5 + 0*k**4 + 0*k**3. Determine z(d(x)).\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 17. Let j(b) = -3*b**p + b**2 - 35*b + 35*b. Let x(d) = -3*d + 5*d - 4*d. What is j(x(f))?\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5684\/1972 - 2\/(-17)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23503004 and 28700?\nAnswer: 1148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/6*-1)\/(18\/(-54))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, q: 5, m: 2, i: 1, g: 1}. What is prob of picking 3 q?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81100864*p**3 - 141622*p**2 - 1028*p?\nAnswer: 486605184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -923*p. Let k(s) = 1952*s. Calculate k(w(j)).\nAnswer: -1801696*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 25*m - 121. Calculate x(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 110*i**4 + 6*i**3 + 464 wrt i?\nAnswer: 440*i**3 + 18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5*v - v + 7 = 0, 4*p + 10 = -2*v. Let u(h) = 3*h**2 - h. Let w be u(p). Let b(i) = 2*i - 3*i - w + 6. Calculate b(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 10*s - 22. Calculate u(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 781?\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 26*f = -47*f + 810960. Is f a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06 - -0.17. Let y = 0.05 + f. Let d = 0.08 - y. Which is the closest to d? (a) -4 (b) 1\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5 + (-6*(sqrt(891) + sqrt(891)*-4 + -3) - (0 + 2 + sqrt(891)*4))))**2.\nAnswer: 132300*sqrt(11) + 4376925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1152 - 14?\nAnswer: -1166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10 * 1.7\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2\/2 - 265*p + 1572 = 0 for p.\nAnswer: 6, 524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 103241?\nAnswer: -11\/103241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 1715.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6*n - 15. Let i be d(6). Let r be 1\/(-5) - 4\/(-20). Suppose 3*o + 6 = 0, r = -a + 4*o - 2 + 13. What is the highest common factor of a and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t**1\/t*t)\/t)*t*t)**(-37))**(7\/10)\/((t*t**(-2\/9)*t*t*t*t)**(-8\/5))**31 assuming t is positive.\nAnswer: t**(8333\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64273.\nAnswer: 11, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 5*h**2 - 11*h + 11. Let p be j(-13). Let l = p - 19587\/13. Let k = l - -19\/65. Which is the smallest value? (a) -4 (b) k (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1030 or -1031?\nAnswer: -1030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + -352?\nAnswer: -349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11263\/3 + 45055\/12. Factor 7\/4*g**3 - 2 + 9\/4*g**2 - l*g**4 - 7\/4*g.\nAnswer: -(g - 8)*(g - 1)*(g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 653*n**3 + 5*n**2 - 5*n + 1. Let r(c) = -326*c**3 - 3*c**2 + 3*c - 1. What is 5*r(u) + 3*v(u)?\nAnswer: 329*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6598 + 19475. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 2\/13 (c) -2\/7 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -5, 1\/3, -75 in increasing order.\nAnswer: -75, -5, 1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 58.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 306 + 354. Suppose -x*b + 4 = -222*b. Sort -3, b, -1.\nAnswer: -3, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*76964.\nAnswer: -23089.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -11*l - 21. Let h(s) = 16*s + 18. Let r(f) = -2*h(f) - 3*z(f). Calculate r(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 2*t + 4*t - 174, 2*a - 169 = 3*t. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -78, -163, -270, -399, -550, -723, -918?\n\"Answer: -11*j**2 - 52*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-3)*(-243)\/2916.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8)*u*u**(2\/75))\/(u\/(u*u**(-17))*u*u*(u\/(u\/(u**(-16\/3)\/u)))\/u) assuming u is positive.\nAnswer: u**(-466\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxcxccoxxxpf. What is prob of sequence fo?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221202 - -20112?\nAnswer: -201020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)\/(1*sqrt(11)) - (sqrt(13) + sqrt(26)\/(sqrt(4)\/sqrt(2)))**2) + ((sqrt(208) - -1*sqrt(208)) + -1)**2)*1.\nAnswer: -15*sqrt(13) + 781","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 266*x + 3. Let v be s(2). Let f = v - -113. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-608)\/48 + 12 - 6\/(18\/85)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1350224 and 1072?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 963223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133464 (base 7) to base 9.\nAnswer: 37610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of 2033*i**8\/168 + 2161*i**5\/60 - 48*i**2 + i - 66. Find the third derivative of g(s) wrt s.\nAnswer: 243960*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xqovx. Give prob of sequence qo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -6*p**2 + 20*p + 20. Let u be w(15). What is the common denominator of 19\/7 and (u\/45)\/(4\/3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.7. Let g = 1728.5995 - 1728. Let d = h + g. What is d rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5093 is divided by 283.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**14)**13*p**(3\/14)\/p**(1\/2) assuming p is positive.\nAnswer: p**(1272\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**22)**(-8\/15))**(6\/17) assuming p is positive.\nAnswer: p**(-352\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*k**3 + 3*k**2 + 1090502*k - 493269135 with respect to k.\nAnswer: 27*k**2 + 6*k + 1090502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n - 1. Suppose h + h = 8. Let t(i) = i**2 - 6*i + 6. Let y be t(h). List the prime factors of c(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 28279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1096931983\/4 or -274232996?\nAnswer: -1096931983\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/1*((-61008)\/(-72))\/41*(-18)\/8.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-9 + (-3 - -1)) - (-114 - 82 - -221)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-242)\/(-2))\/(-1 + 2). Suppose 0 = 4*m - 363*r + 368*r - 451, 0 = r + 5. Let y = k - m. Solve 3*n - s = -6*s - 28, -5*n - 15 = y*s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6276399 times -10\nAnswer: -62763990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jje when three letters picked without replacement from {j: 9, e: 9}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 853716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 3*z**4\/8 - z**3\/3 + 7*z**2 + 211*z. Determine g(4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18550049 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from epeeepueuppeeeppe. What is prob of picking 1 u and 2 p?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -52.036681+0.0924\nAnswer: -51.944281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 1)\/(0 + 3). Is 17 a factor of (2 + d)\/((-6)\/(-153))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 12 = 3*x, x + 2*x = 4*q + 12. Suppose x*k - 23 = 85. What is the remainder when 107 is divided by k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 + 16 + 3*w**3 + 44*w**2 + 48*w + 6*w**3.\nAnswer: 4*(w + 1)*(w + 2)*(3*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4597652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 - 4*t**2 - 3*t**2)*(4*t**3 - 3*t**3 - 4*t**3 + (-t**2 + 0*t**2 + 3*t**2)*(6*t - 5*t + t)).\nAnswer: -3*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -1199*a - 20384. Give r(-17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6137616.\nAnswer: 2, 3, 127867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -8*z + 12. Is q(-16) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 352*o**2 + 367*o**2 + 156*o - 637*o**2 - 1 + 1 as y + d*o + k*o**2 and give d.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 164017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 164219072?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u - 17. Let n be h(-12). Let v(k) = -k**2 + 9*k - 1. Is v(n) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4343032 (base 7) in base 14?\nAnswer: -dba89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 - -60. Let y(d) = d**3 + 7*d**2 + 6*d - 2. Let w be y(-5). Let k be ((-8)\/(-24))\/(2\/w). Solve 0 = -k*l - 0*l - r for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54287323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + 11*i + 7*i to the form f + w*i and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*-6*6*(sqrt(448)*-1 + 4).\nAnswer: -2592 + 5184*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 11:02 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70448 (base 9) to base 14.\nAnswer: 12c2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from ienneninniini.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-7)\/98*-2*-1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 7*o + 1. Let n(m) = 10*m - 2 - m - 4*m + 3 + 5*m. Calculate 5*n(j) - 7*v(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/14 + (2 - 2155\/140). Let m = i - -4607\/348. What is the biggest value in m, 0.3, -1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*v**3 - 2*v**2 - 39*v wrt v?\nAnswer: 72*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/10*3\/((-12)\/50)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 + 332 = 7*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48790729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 16*c - 22. Calculate w(-17).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**9*v*v\/(v\/(v**(-4\/9)*v)))\/(v**1)**(4\/23) assuming v is positive.\nAnswer: v**(-1370\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 - 31. Suppose 5*z - o = 7. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 198 and 1487448?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 130\/(-52) + 22\/8. Sort a, 1, -0.2, -5\/19, 1\/2 in decreasing order.\nAnswer: 1, 1\/2, a, -0.2, -5\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 368842.\nAnswer: 2, 223, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 10}. What is prob of sequence qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9955764.0000164 + 9955724. Let b = -40 - t. Round b to six decimal places.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 10, 1, -32, -101, -218, -395, -644?\nAnswer: -977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, d: 9}. Give prob of sequence ndnd.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 1 (b) 2\/137 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 2, 164874 in decreasing order.\nAnswer: 164874, 28, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 c when three letters picked without replacement from ffffcffcfffccf.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.53 - -1.33. Let w = -9 + 12. Put -15, w, k in ascending order.\nAnswer: -15, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/7 (b) 2\/5 (c) 10 (d) 277\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -158\/10161 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-4))\/(3525\/32430).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350949987?\nAnswer: 3, 47, 401, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4 + 21*r**3 + 54*r**2 + 60*r + 24.\nAnswer: 3*(r + 1)*(r + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 397562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -504451*d**2 - 791674?\nAnswer: -1008902*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 69*x. Let k(m) = 6*m**2 + 12. Determine c(k(j)).\nAnswer: 414*j**2 + 828","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 5 + 13 = 2*r, 3*m = 5*r + 4. Sort m, 0, -2, 1 in descending order.\nAnswer: 1, 0, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (58 - 84 - 92 + (-2 + 4 - 3)*(3 - 2 - 2))*(3*l + 3*l - 4*l) + (0 + 2 + 0)*(-3*l + l + 3*l) - 2*l + 2*l + l + 4 - l - 4 to the form u + x*l and give x.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -793 and -1550.\nAnswer: -2343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = s - 15. Let d be 1 + 0 + -1 + s. Suppose l + 1945 = d*q, l + 2*l - 1575 = -4*q. Round q to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12243 and 1864.\nAnswer: -22820952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z - 42 = 30 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(190)\/(sqrt(10)*1) + -3*sqrt(171)*-4.\nAnswer: 41*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 164325?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22288104, -44576185, -66864266, -89152347?\nAnswer: -111440428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-3)*(12825\/(-20))\/95.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 530?\nAnswer: 2\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - v - 160 = 0. Let q be (-1*3)\/((-15)\/v*4). Let t(y) = y + 4. Let p(k) = 11*k - 6 - 27*k - 2 + 14*k. Calculate q*p(z) + 5*t(z).\nAnswer: z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 129355 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6*w**2. Let l(a) = -2464783*a. Determine l(y(z)).\nAnswer: -14788698*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30360 + 31.8.\nAnswer: -30328.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (0 + (-4 - -1 - -4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 59909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -11. Suppose a*b = 4*b + 9. Factor l**3 + 5*l + l**4 + 3*l**b - 2 - 5*l**3 - 3*l**2.\nAnswer: (l - 1)**3*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3*(-3)\/36). Let r = 37 - t. Let z = r - 44. Calculate the common denominator of 119\/6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 3*a + 2. Let s be w(2). Let g = s + -1. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5+-0.2462\nAnswer: -5.2462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 857, 1228, 1597, 1964?\nAnswer: 2329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259*v = 523*v - 257*v - 952. Solve v - 94 = 7*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -47*w**3 + 52*w**2 + 9*w. Let l(a) = -44*a**3 + 49*a**2 + 8*a. Determine 9*l(r) - 8*t(r).\nAnswer: -20*r**3 + 25*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 18*p**2. Let z(l) = -12*l**2 - 6*l - 45. Let q(y) = -25*y**2 - 10*y - 75. Let d(b) = -3*q(b) + 5*z(b). Give d(m(j)).\nAnswer: 4860*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 49b312 - -3?\nAnswer: 49b315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-52))\/(129\/(-3913))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 9 = 5. What is the third smallest value in y, 0.08, -2, 1?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-138)\/348 - (-3 + (-1 - -2)) and 13\/2.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2537 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/((-36)\/27)*151\/3. Let y = 9092 + u. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1569476 divided by -193?\nAnswer: 8132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 21*z + 20. Let o be q(-16). Calculate the greatest common divisor of o and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17546484?\nAnswer: 2, 3, 359, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (16\/(-9))\/4 - 1900\/(-225) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.105088 months to decades.\nAnswer: 0.1925424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25155 by -387.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -2. Let z = w + 0. Let v be (-4 - -2)\/z*0. Solve -u - u - 10 = v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 766.0443 centimeters to meters.\nAnswer: 7.660443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 1)\/((-16)\/32). Solve t = -5*x + 4*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4149\/2 - -2029. Calculate the common denominator of 79\/40 and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1927 - 145055211.7.\nAnswer: -145057138.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7888 and 8831167?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26238536 by -26134.\nAnswer: -1004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/7 - 228\/(-14). Solve -m - i = 3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -20 + (-5 - -10) + -6. Is s at most as big as -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36921157425.5 less than 50?\nAnswer: 36921157475.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 158153 or 158151?\nAnswer: 158153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 5, 1\/2, 127 in decreasing order.\nAnswer: 127, 5, 1\/2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 340 = -104. Let m = 199 - t. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 27, 71, 137, 219, 311, 407?\n\"Answer: -h**3 + 17*h**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -97\/83 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 0.28654?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -220 + 210 - (2 + (-972)\/78).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*g + 87 = -2*g, -3*g = -n + 34. Let v(b) = -b**3 - 13*b**2 + 28*b - 49. Let j be v(-15). Let t = n + j. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*v + 0*v + 16 - 21 wrt v?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13755 + -13753.9389. Round w to 1 dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -59299, -76742, -94185, -111628, -129071, -146514?\n\"Answer: -17443*j - 41856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**4\/10 + 1024*x**3\/5 + 88849*x**2\/10 - 60714*x\/5 + 15264\/5 = 0. What is x?\nAnswer: -636, -48, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 4*n**2 + 3*n. Let r be f(4). Suppose 4*t - 4*d = -0*d - 8, 5*d = 25. Calculate the greatest common factor of t and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(-23\/5)))\/i)\/i**(-26)*(i*i*i**17\/i)**(-17) assuming i is positive.\nAnswer: i**(-1382\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 147 - -12?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -514 + 518. Solve 49 = z*g + 37 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n*y**5 - 2*n*y**2 - n*y - 197*n + 10*y**4 + 1 wrt y.\nAnswer: -40*n*y**3 - 4*n + 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (15 + -2 + 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 13*a**4\/4 + 7*a**3\/3 - 9*a + 3. Let o = 231 + -229. Let h(n) = -4*n**3 - 2*n**2 + 3. Calculate o*c(b) + 7*h(b).\nAnswer: -2*b**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*g + 123, -x = -2*x + 5*g - 29. Let a be x\/(-64) - (2\/8 + 0). Which is smaller: 2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/20 and -69\/430.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.3 and 10.151?\nAnswer: 43.6493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 0*l - 2*l + 0*l. Let j(k) = 5*k**2 + 4*k + 4. Let v = 7 - 3. Let b(u) = 14*u**2 + 11*u + 11. Let a(c) = v*b(c) - 11*j(c). Determine i(a(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*1\/2*(-109480)\/(-38080)?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 14. Which is the third biggest value? (a) 0.5 (b) p (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -465*i*o - 28170*i + 46477990*o wrt i.\nAnswer: -465*o - 28170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k - 26410 - 63190 = -0*k. What is k rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -811b7 - -23?\nAnswer: -81194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 8 + 7*d - 47 + 3 - 53. Let h be g(12). Let c(i) = -i**3 - 4*i**2 + 6*i - 5. Determine c(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6907 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 12:21 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156\/16*112\/210*5.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2)\/q)**(-14\/5)\/(q*q*q**(-1\/8)*q)**(-1\/3) assuming q is positive.\nAnswer: q**(787\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -2\/7, 901\/4, -57\/8, -0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 a factor of 685774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4511971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -45825 - 2?\nAnswer: -45827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzl when three letters picked without replacement from {p: 1, z: 1, f: 1, l: 1, g: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -98733677 divided by 2\nAnswer: -98733677\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -150299.\nAnswer: 2\/150299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1817*f**2 + 6 + 18*f**3 - 1817*f**2.\nAnswer: 18*f**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -302 + 303. Let p(s) = 29*s**2 - 17*s + 18. Let c be p(v). Solve 27*a = c*a + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 256554.\nAnswer: 256554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 147 + 27 = 2*u, l = -1. Suppose -2*f + 34 = -5*v, 9*v - 4*v + u = 4*f. What is the remainder when f is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*j*n**2*s**2 - 42*j*n**2*s - 8*j*n*s**2 - 6886*j*q*s + n**2*q + 85*n*q*s**2 - 9*n*s**2 + s**2 with respect to q.\nAnswer: -6886*j*s + n**2 + 85*n*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/4 + 527*y**2\/4 + 17554*y + 51483.\nAnswer: (y + 3)*(y + 262)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 1:55 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1579*w - 983 + 180 - 553 + 261 wrt w.\nAnswer: 1579","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.9817339 rounded to 3 decimal places?\nAnswer: -12.982","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.9 - -1.9. Let j = -80 - -1198\/15. Suppose -u = -5*t - 30, -5 = 4*u + t + 4*t. What is the third biggest value in v, j, u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*r = 12, 3*r + 6 = -g + 18. Let d(x) = -x**3 + x**2 + 6. Suppose -v - 3*v = -3*w - 6, -2 = w. Let p be d(v). Solve -g*s + 5*s = -p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35541 to the power of 1\/2, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-15))\/((-36)\/10)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 - 31. Suppose 0 = -4*g + g - h. Let f(i) = 2*i**2 + 5*i + 5. Let o(a) = 5508*a**2 - 4 - 3*a - 5510*a**2 - a. What is g*f(q) - 5*o(q)?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of 0*y**3 + 0*y**5 + 0*y - 1\/24*y**4 + 0 + 10*y**2 - 1\/30*y**6. Find the second derivative of o(s) wrt s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b - 7 + 0*b - 7*b + b wrt b.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 4*t**2 + 4*t + 1. Let y be i(3). Suppose -y*w + 7 = -3*j + 6*j, -3*w + 3 = 2*j. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 522049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 - 26. Let d(p) = -71*p**3 - p**2 + p + 1. Let a(s) = -s**3 - 4*s**2 - 1. Let h be a(-4). Let q be d(h). What is the highest common factor of c and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 6\/(-2))\/2. Let q be 4\/6*(g - -2). Suppose -33 = -2*h - 5*y, -4*h + 68 = h - q*y. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*g + 80 = 0, 218977*g - 218980*g = n - 38. Suppose -2*u = -3*m - m + 208, -4*m = 5*u - 208. Calculate the remainder when m is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 86, -2, -2\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4031 - 406425?\nAnswer: -413456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 103.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 80. Let m = g + -26. Solve -m = 5*t - 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11118 + 2463.201.\nAnswer: 2463.31218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 344*m**3 + 4 - 4 - m - 1945*m**3.\nAnswer: -2289*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3745.51421251 and -734?\nAnswer: 3011.51421251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 20 = -0*t. Suppose -s = -5*d - 10 - 17, 4*d = t. Let g = 83 - s. What are the prime factors of g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 99 - 68. Let z = -77 + m. Let t = z + 48. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4403*h + 1980*h + 3482*h + 3952*h - 4428*h in the form o*h + m and give o.\nAnswer: 9389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24689757 to the nearest integer?\nAnswer: 4969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 170*v. Let h(p) = -4*p**2. What is r(h(a))?\nAnswer: -680*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78.974 - 0.026. Let u = 78 + m. Let x = -8 + 5. Which is bigger: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(-3*q**2 + 2*q**2 + 0*q**2 + (2*q + q - 4*q)*(0*q + q + q) + (0*q - 6*q + 3*q)*(-q + 2*q - 4*q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 398985 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 8868.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**2 + 2*f**2 + 2*f**2 + (-2*f - 8*f + 3*f)*((2 - 5 - 2)*(-f - 2*f + 2*f) - 3*f - 4 + 4) - 2*f**2 + f**2 - f**2.\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -64522257?\nAnswer: 64522256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/56*(-12)\/(-1)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6\/6419 - 686713\/128380. Let b be 177\/588 - 1\/3. Let q = b - 12977\/1764. What is the common denominator of t and q?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dgf when three letters picked without replacement from dgqfs?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -8*5\/50*250\/(-3100)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14310000402 + 1?\nAnswer: 14310000403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/((-2)\/4*-2). Suppose -17 + 2 = 5*t, 0 = -y - 5*t - 8. Let x = -4 + y. Solve h = -x*d - d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*p**3*y - 6107789*p**3 + 966*p*y**4 + 7*y wrt y.\nAnswer: -17*p**3 + 3864*p*y**3 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) + 0 - (sqrt(720)*1 + sqrt(720))) + sqrt(405)\/sqrt(225))**2.\nAnswer: 4489\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o**2 - 2. Let w(s) = 9*s**2 - 5. Let h be (-76)\/(-16) + (-2)\/(-8). What is h*r(n) - 2*w(n)?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11976 - -24286. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - (sqrt(143) - (sqrt(143) + ((-1*sqrt(143) - sqrt(143)) + sqrt(143))*3)))\/sqrt(11).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of -x**4\/6 - x**3\/6 + x**2\/2 - 27*x - 4. Let u(t) = -t**2 + t - 1. Calculate -r(a) - u(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9983814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 778153280 to the nearest 100000.\nAnswer: 778200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90915 and 1740?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from zssspppsspssspsspss?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s - 2. Let h(q) = -q + 3. Let v(k) = 3*h(k) + 3*i(k). Let b(x) = -3*x + 1. Let w(p) = 3*b(p) - v(p). Let r(f) = -51*f - 1. Calculate w(r(l)).\nAnswer: 153*l + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - y = 0, -5*k - y - 14 = -0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(145\/(-58))*5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196*c = -207*c + 2563. Suppose 9*u - c = -44. Solve 2*v - 11 = -u for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30.9 + -30.9. What is the nearest to -1 in -1\/4, -7\/15, q?\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5915*t**4 - 5*t**2 - 19*t + 18 wrt t.\nAnswer: 70980*t**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-22) + (-190)\/209. List the prime factors of 1 + v - 3\/((-9)\/330).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 3) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, c: 1, b: 1, f: 1, d: 1, r: 1}. What is prob of picking 2 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -3*h**5\/20 + 3*h**4\/4 - 3*h**3\/2 + 3*h**2\/2 + 14*h. Factor c(f).\nAnswer: -3*(f - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29448.32l?\nAnswer: 29448320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3915, -7752, -11459, -14970, -18219?\n\"Answer: 11*f**3 - f**2 - 3911*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1\/8)*h*h)\/h)\/(h\/((h**8*h*h)\/h))*((h\/(h*h*h**(-3\/4)*h))\/h)\/(h*h**4*h))**23 assuming h is positive.\nAnswer: h**(115\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*o + 103401 = 5*n, 0 = -o + 2. List the prime factors of n.\nAnswer: 20681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 5*d + 5, -5*b - 24 = 2*d - d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 14*g - 5*g. Suppose 5*m - 3*o + g*o + 2674996 = 0, -1605010 = 3*m - 5*o. Round m to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**13)**29\/((z\/(z*z\/((z*(z\/z**(2\/5))\/z*z)\/z)))\/z**(-3\/5)) assuming z is positive.\nAnswer: z**(1884\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6636 - 2123 = 85*b + 21756. Which is smaller: -321 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.553997 to 1 dp.\nAnswer: 11.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 5*z**2 - 4*z - 2. Let s be (-2 - -5)*((-35)\/(-15))\/(-7). Let f be (-434)\/(-28)*(s + (-3 - -2)). Let b = 28 + f. Give t(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.17 - 1.1. Let g = 0.07 - h. Let q = -421 - -420. Which is greater: g or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91 + -88. Suppose 5*m - 9*m = -8. Suppose 6*x - h*x - 337 = m*y, 4*x + 3*y = 472. Is 23 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3)*(-10*m + 4*m - 8*m)*(-3*m + 2*m + 2*m)*(3 - 1 - 4).\nAnswer: -28*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (36 - -1) + -4 + 2. Let h = 13 + c. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1965537?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 p when three letters picked without replacement from pccpcp?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 3:30 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 3:07 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110 + -2?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 434 (base 8) in base 9?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 7:14 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - -0.307.\nAnswer: -13.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -1758 in descending order.\nAnswer: 3, 2, -1758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-32))**(-17)\/(f**(-4\/5)*(f*f**(-3\/14))\/f) assuming f is positive.\nAnswer: f**(38151\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3808)\/(-40))\/((-4)\/40). What is the remainder when (-3)\/6 - j\/16 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-12) + 50\/6. Suppose f = 38 - r. Suppose 0 = -4*k - 12, -4*v + 2*k = 3*k - 61. What is the remainder when f is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/6)\/q*q*q**(-1\/3)*q\/(q*q**(-12))*(q\/(q\/(q*q**(-2))*q))\/q*q assuming q is positive.\nAnswer: q**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3131 > 3502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 4. Suppose -4*u - q = -9, -5*u - 7*q + i*q = 0. Solve z + c = -4*z - 18, u*z - 3*c = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -525 - -924. What are the prime factors of c?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 3*q, -3*q - 2*y - 1 = -6*q. Solve -q = a - 0*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(-3\/8)*j\/((j**(-11)*j*j)\/j) assuming j is positive.\nAnswer: j**(99\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.123256 and 78.\nAnswer: -9.613968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 12:43 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1937363 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/(-36))\/((-4)\/114). Let u = 24 + x. Solve -15 + u = 2*y, 3*a + 31 = -5*y for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 7*g - 25*g. Which is the nearest to 0? (a) g (b) 0.12 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 515491 is divided by 171794?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.655 take away -123515945681?\nAnswer: 123515945680.345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -4 and -192\/37 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 9*y + 17. Let d be m(7). Suppose 4*k + 0*k - 234 = -2*v, d*v - 5*k = 406. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 u when two letters picked without replacement from {b: 4, v: 4, q: 2, u: 1, e: 3, m: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 223 - 163170?\nAnswer: -162846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4289 = -b, 8*b - 2*n = 3*b + 21466. Does 116 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74*j - 26*j + 14*j)*(j**4 + 0*j**3 - 2*j + 0*j**3).\nAnswer: 62*j**5 - 124*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -19*s + 5*s**3 + 11*s - 9*s - 2*s**2 + 15*s + 31*s**3. Let g(w) = 37*w**3 - 3*w**2 - 3*w. Give -2*g(b) + 3*z(b).\nAnswer: 34*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, h: 1, f: 1, o: 2}. What is prob of sequence hu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 11*h**2 - h + 7. Let f be n(11). Put -3, 1\/6, f, 0 in decreasing order.\nAnswer: 1\/6, 0, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 8, p: 3}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 562052\/3 and 187350 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b + 34 = 3*p, -2*p + 31 = -5*b. Suppose -3*t - 2 = p. Let g = -0.05 - 0.15. Sort t, g, -4 in ascending order.\nAnswer: t, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(363))**2 + 1.\nAnswer: -44*sqrt(3) + 368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27726, 27663, 27600, 27537, 27474?\nAnswer: 27411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -l**3\/3 - 4*l**2 + 20*l - 18. Suppose r + 6 = -4. Let b be y(r). Solve b*p = -4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695 is divided by 38.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6750 + 6757. Solve 4*q - 15 = -3*h, 2*q - u*q - 2*h + 17 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*z - 4, -9*z = -14*z - 4*k - 4. Solve 0*q + 4*q = z for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58.935 - 0.065. Let k = b + 58.882. Let r = -0.175 - k. Round r to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -9. Suppose -25 = -p - 0*p. Solve -4*w - w + p = h for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 947.5884 millennia in decades?\nAnswer: 94758.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4038, 4151, 4350, 4641, 5030, 5523, 6126?\nAnswer: 6845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 3*j**2 + 2*j. Let w be v(1). Which is bigger: -1\/14 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/((-11 + 9)*(-1)\/(-4)). Solve -a = -0*a - i for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - f + 2*f**4)*(2*f + 2 - 2) + (-228*f + 228*f - 19*f**5)*(3 - 1 - 3) + 7*f**3 - 7*f**3 - 2*f**5.\nAnswer: 21*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*d - 188 = 0, -4*d - 25 = -j + 17. Suppose k - 42 = -j. Solve -3*u + 3*f + 9 = 4*f, -5*u = -k*f - 32 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.88 (b) 5 (c) 1083\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.00772 * -0.16\nAnswer: 0.0012352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l**4 - 2*l**3 - 3*l**2 + 4*l + 2. Let u = 14 + -24. Let x = 6 + u. Let v(h) = h**4 + h + 1. Let s(n) = x*v(n) + 2*w(n). Factor s(k).\nAnswer: 2*k*(k - 1)*(k + 1)*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 8*g**2 + 9*g - 2. Is j(8) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 2*b**2 + 3*b - 3. Let f be r(2). Suppose k = -2*l - 5, 2 = -2*k - f*l - 4. Solve 5*i - k = 22 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 2*q - 3. Let v be (0\/58)\/((2 - 1) + -2). Calculate l(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 14 = -z - 0*z, -4*q = z - 30. Let b = 60 + -57. Solve -b*s - 8 = 5*u, -3*s - 7 = -4*u + q*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2052674, 4105308, 6157942, 8210576?\n\"Answer: 2052634*i + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -59*a**4 - 524*a**3 - 2*a**2 + 569423?\nAnswer: -236*a**3 - 1572*a**2 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/8 - (-1)\/(-4). Let i(u) = u**2 + 1. Let x be i(1). Let t = x + q. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/6, -1\/6, 90?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 12:33 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/30578460 and -37\/114312?\nAnswer: 61156920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*h + 6 = 0, 15*h - 13 = -3*i + 10*h. Sort -1, i, 77, -19 in decreasing order.\nAnswer: 77, i, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 28 = -2*a - k, -20 = -5*k. Let g(f) = -6*f + 52. Let b be g(a). Suppose -b*q + 16 = -18*q. Let s(v) = -2*v - 7. What is s(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l**4 - 6*l**4 + 5*l**4)*((-3 - 1 + 3)*(-2 + 1 + 2) + (2 - 4 - 3)*(1 - 5 + 3)) in the form v*l**3 + z*l**2 + j*l**4 + p + t*l and give j.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -78469?\nAnswer: -78464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**3 - 7*c**2 + 3*c + 17. Is o(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00119393833 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -89 - -353\/4. Which is the nearest to -0.1? (a) 0.3 (b) 2\/7 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 0*i + 0 + 1\/60*i**5 + 1\/120*i**6 + 3*i**2 + 1\/6*i**3 + 0*i**4. What is the units digit of t(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5\/4 + 13*g**4\/4 + 177*g**3\/2 + 433*g**2 + 794*g + 504.\nAnswer: -(g - 28)*(g + 2)**3*(g + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1161 - 4621\/4. What is the common denominator of -61\/82 and p?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 461156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -199\/4 - -50. Suppose 8 = -3*y + 503. Let f = 1157\/7 - y. What is the closest to j in 2, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -475, -989, -1489, -1969, -2423?\nAnswer: -2845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -5, 1\/5, 2\/15, 1\/3, -2\/27?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 + 6*z**2 - 11*z**2 + 7*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 9*g**2 - 16*g - 9. Let x be s(10). Which is bigger: -68 or x?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*y - 4085, -4*y - 4*n + 1669 = -3787. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-5) + 0)*(4 + 1). Let o be 3\/(-5) - -3*x\/15. Solve -2*j = z - 2*z + 11, o = -4*j + 5*z - 31 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) -0.2 (b) 30 (c) 192\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148, -150, -154, -160, -168, -178, -190?\nAnswer: -204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -156\nAnswer: -5\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -561 - -3335\/6. Find the common denominator of z and 39\/(-84) - 1 - (-3)\/(-12).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (216\/(-63))\/((-4)\/(-14)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 428.95386us to hours.\nAnswer: 0.00000011915385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/((-14)\/(-154)*-11) + -52?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17374*n = 1289*n - 1343736 for n.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1428)\/(-17))\/14*52\/(-351).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + 1 + (509 - 516) + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/8)\/((-4)\/68).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 44.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4012 (base 7) in base 10?\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vt when two letters picked without replacement from {a: 1, t: 2, k: 1, u: 1, q: 1, v: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -12*m**3 - 7*m**2 - 4*m + 2. Determine d(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 311*f*r*v + 18*f*r - f*v**2 - f*v - 4*f + r*v**2 - 1311*r*v - 119*v**2 wrt f.\nAnswer: 311*r*v + 18*r - v**2 - v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = -b. Suppose -3*c + 6 = -4*n, b = c - n - 0 - 3. Sort -2, c, 2, 4 in decreasing order.\nAnswer: c, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2189683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, r: 3, k: 2, o: 1, x: 9}. Give prob of picking 1 h, 1 o, and 1 r.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51 + 201\/4. Which is the third smallest value? (a) d (b) 9 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**5\/3 - 1798*a**4\/7 + 10606*a**3\/3 - 15382*a**2\/21 - 3536*a + 2968\/3 = 0.\nAnswer: -1, 2\/7, 1, 14, 371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -5*f + 3*z, -34*f = -19*f + 5*z - 70 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 224 and 74158.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-15))\/2 + (-261)\/435.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/2)\/((-489)\/(-326))*(-2)\/(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (4 - (5 + (3 - 6)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2 - 41*b**2 - 2*b**2 to the form d + v*b + g*b**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 230 = -3*t, -2*f + 0*f - 202 = -3*t. Let g be (12\/(-15))\/((-4)\/t). What is the greatest common factor of g and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85095, 0, 80.\nAnswer: -85095, 0, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**4\/9 - 3940*a**3\/9 + 2*a**2\/3 + 11816*a\/9 - 7880\/9 = 0.\nAnswer: -1970, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 241, -1, -156\/5?\nAnswer: 241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 + 2*m**2 + 3*m**2)*(-89 + 530*m**3 + 89) + 3*m**5 - 2*m**5 - 2*m**5.\nAnswer: 1059*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/12 + (49959\/(-54))\/(-7). Suppose 0*a + s = 7*a. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*x - 5*x + 12, -3*x + 3 = 0. Factor 3\/2 - d*v + 1\/2*v**2.\nAnswer: (v - 3)*(v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 1 (c) -0.2 (d) 5\/2 (e) -47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -10*(4\/8)\/(-1). Suppose 2*y = a + y - 4, f*y = -4*a + 25. Calculate the lowest common multiple of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 6343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3614831023 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-7))\/((-64)\/(-112)) - 147\/(-14). Is -1.56 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*w + 16 = 0. Suppose -388 = -w*r + 464. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 198*q - 12626. What is the units digit of h(77)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7345 (base 14) in base 12?\nAnswer: b5a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3472542?\nAnswer: 2, 3, 103, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -755435\/9 - -513521\/6. Let m = z - 1647. Let w = 911 + -1763\/2. What is the common denominator of w and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 4*j + 13 = 0. What are the prime factors of ((-1144)\/40)\/(((-2)\/(-10))\/j)?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 7*z - 6. Let k be s(5). Suppose -k*x + 45 = 5*i, -4*x + 3*x = -5*i + 45. What is the greatest common factor of 45 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 4:06 PM?\nAnswer: 12:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43*d**3 - 2*d**2*v**3 - 2*d*v**2 - 96*v**3 + 3*v with respect to d.\nAnswer: 129*d**2 - 4*d*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -14. Suppose -18 = -n*k + 39. Let s = 2 + 0. Solve 5*l - s*j = -1 - 0, -5*j + k = 4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1.31, -2, -5\/13, 2, -0.3, -1\/4?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1904\/357)\/(2\/(-3))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a - 6. Let y be 66\/2*(-11 - 1). Let o be 2\/(-7) - y\/(-84). Let l(i) = 2*i + 5. Let g be ((-1)\/(-2))\/(1\/(-12)). Calculate g*l(x) + o*t(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -3*w - 3. What is the smallest common multiple of (3\/(-27))\/((-1)\/(-3))*-63 and j(-6)?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(3\/(-9) + (-2)\/12). Let q be 18\/4 - 1\/2. Suppose 3*f - 91 = -q*a, -j*f - 51 = -3*a + 11. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 21*t**2 - 7*t + 107. What are the prime factors of g(-20)?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 2*d**2 - d**2 + 2*d + 5 - 3. Let g be m(-2). Let t = -32 - -35. Solve -r - t*f = -19, r = -0*f - g*f + 24 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1060 - 2153 + 2*d**2 + 1093.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*x - 3*n - 113, x - 23 = -2*n. Which is smaller: x or 34?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 9:43 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*d**3)*(-11 + 9 - 1) + (-2*d**2 + 2*d**2 - d**2)*(4*d - 7*d + 2*d) to s*d + b*d**2 + z + k*d**3 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5840\/(-5256)*1\/((-2)\/(-45)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**2 - 3. Let a(u) = 314*u**2 + 359 - 312*u**2 + 33*u - 359. What is b(a(q))?\nAnswer: -4*q**2 - 66*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 185445864 a multiple of 474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w - 237 = -327 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**3\/3 - v**2\/2 - 8. Find the second derivative of u(r) wrt r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 5 = 15 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*w - n, -2*n = -2*w - 7*n + 3. Suppose -5*f = -4*f. Suppose f*h = -h. Sort 0.5, h, w in descending order.\nAnswer: 0.5, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*c - 120 = 5*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4517 = -82*v - 3553 + 5924. What is the remainder when 355 is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9894 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + 6. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85282 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 30 = 3*r - 0, -40 = -3*r + 5*o. Suppose 10 = r*d - 5. Suppose -d*i = -2*s - 1, -s - s = 3*i - 17. Solve 1 + s = -p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t\/((t*t**(-2))\/t))*t)\/t**(-7))\/(t**4\/(t*t**(5\/4)*t*t)))**(1\/25) assuming t is positive.\nAnswer: t**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 5, -4, -5 in ascending order.\nAnswer: -5, -4, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.354, -9, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (156 - 133) + 84 + (-25 - -12) + 9.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 c when two letters picked without replacement from mtcttttstvk.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 744, 1289, 2060, 3051, 4256, 5669, 7284?\nAnswer: 9095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 345 - 264 = 5*r, 10*r + 18*u - 142 = 0 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czz when three letters picked without replacement from {z: 2, c: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/24312 and -95\/12?\nAnswer: 24312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 23092086400 to the nearest 1000000.\nAnswer: 23092000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 153, -18, -514?\nAnswer: -514","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -10*f**3 - 8*f**2 - 8*f. Let t(h) = -5*h**2 + 3*h**2 + h**3 + h + 3*h**2. Let b = -9 + 17. Suppose -5*x + 5 = -0. What is b*t(q) + x*l(q)?\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 787*h - 793*h + 12. What is the highest common factor of 142 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/20*194\/1455*5\/(-4).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**3\/18 + 193*n**2\/12 - 32*n - 184. Solve m(g) = 0 for g.\nAnswer: 1, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 9 + 0 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(60\/75 + 14\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 + 125826*l + 8551544.\nAnswer: (l + 68)*(l + 125758)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2840*f - 2733*f + 3002 = -5652*f for f.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -5)*-1 - -4. Let j be n*(-3)\/(-6) + -11 + 10. Let d(v) = -12*v**2 + 1. What is d(j)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -8*h + 3. Give r(4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/9)\/t)**(11\/5) assuming t is positive.\nAnswer: t**(-121\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 125962 and 8691378?\nAnswer: 8691378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 + 86*j**2 + 320*j + 312.\nAnswer: 2*(j + 2)**2*(j + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q - q - q**2)*(0 - 1 - 1 + (4 - 4 - 3)*(-31 - 38 + 14)) to the form l*q**2 + v*q + c and give l.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -485746*y**3 + 382*y + 831?\nAnswer: -2914476*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/(-45) - (12\/9)\/4. Let c(f) = f - 1. Let w be c(4). What is the nearest to t in -5, 3\/7, w?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110700659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 47*j**3\/3 - 485*j**2 - 522*j - 64\/3 = 0.\nAnswer: -1, -2\/47, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/11, 0.4, 54\/91.\nAnswer: 2\/11, 0.4, 54\/91, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 6:17 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 6*u**2 - 2*u + 5. Let t be r(3). Let o = -58 - -61. Suppose t = 3*h - 5*y, -6*y + 90 = 4*h - o*y. Calculate the least common multiple of 12 and h.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-295 - 28*z + 295)*(2*z - 7 + 5 - 3) to the form s + q*z**2 + t*z and give q.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 64584?\nAnswer: 64584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 + -34 - -7 - (0 + (-9 - (7 - 5)))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 5 + (-30)\/8. Let h = -131\/1825 - 3\/365. Let t = 114 + -114. What is the nearest to t in 2\/7, h, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170, 326, 470, 596, 698, 770, 806?\nAnswer: 800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53215?\nAnswer: 5, 29, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -0.4, -3, 6\/7, -2?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 360396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*j - 15, 5*j + 2*o + 8 = -28. Let l(t) = t**2 + 7*t - 5. Determine l(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21325261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-20)\/(-22) + (7190\/25)\/(814242\/(-2535))?\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -32 (b) -0.26 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-7)\/12 - 6\/(-8)). Suppose -38*c = -q*c - 96. What is the lowest common multiple of 2 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 + -31. Solve k*m + u = -5, 2 = -m + 3*u - 4*u for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41355.817834555 + 6?\nAnswer: -41349.817834555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4804869?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 4*q - 2. Let u be m(4). Let o be 1\/(u*3\/42). Let y = o - -12. Solve 5*a + y = -0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-2 + 0 + 16 + -13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1018 - 701. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121914469 to the power of 1\/2, to the nearest integer?\nAnswer: 11041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -10, 0.05, -1\/10, 3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**5\/7 + 4*o**4\/7 - 4*o**3\/7 - 16*o**2\/7 - 2*o - 4\/7.\nAnswer: 2*(o - 2)*(o + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 5*k - 2. Suppose 5*j - 2*f + 3 - 22 = 0, -7 = -5*j - 4*f. Let d be h(j). Suppose g + d*g = 0. Solve g = 3*a - 6 - 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4076 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**5\/2 - 23*y**4\/2 + 78*y**3 - 110*y**2 - 200*y = 0.\nAnswer: -1, 0, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11826, -23644, -35458, -47268, -59074?\nAnswer: -70876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h + 2. Let p(o) = 22*o + 4. Give 5*n(c) - p(c).\nAnswer: -12*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*w + 55 - 13, 2*q + 2*w - 84 = 0. Suppose q = 4*b - 70. Let i = b - 142\/5. Put i, -0.3, 5, -1\/2 in increasing order.\nAnswer: -1\/2, i, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77616 and 8624?\nAnswer: 77616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 319 and 1133.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -21 (b) -3 (c) -0.1 (d) -2 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -8404294 <= -8404267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g**4 - 8*g**4 - 6*g**4)*(2 + 1 - 1) - 4933*g**4 + 2474*g**4 + 2460*g**4 - 161*g to f + l*g + t*g**4 + z*g**2 + i*g**3 and give t.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 10}. What is prob of picking 2 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1213829.\nAnswer: 1213829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -14ac60 (base 14) to base 8\nAnswer: -2600724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*f**3*g*p**3 - 11*f**3*p**2 + 8*f**2*g*p**3 - f**2*g*p**2 + 5*f**2*g*p + 2*f**2*p**2 - 2*p**3 wrt p.\nAnswer: -36*f**3*g + 48*f**2*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (187\/(-77))\/((-4)\/84).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*l = -4. Suppose l*p - 2*s = 3*s + 41, 44 = 2*p - 4*s. Is 14 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79352 = 3*t + 5*m, -t = -2*m - 1933 - 24514. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 10:47 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6842?\nAnswer: 2, 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4363 = 4*j - 3*y, -j + 2*y = 4*j + 5445. Let v = j - -1084. Let i = -7 - -12. Which is the nearest to -3\/7? (a) i (b) -1\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4337960188 a multiple of 442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17397 is divided by 791.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-48)\/(-5))\/8*30. What is the second derivative of -56*x + 120*x - v*x**2 - 53*x - 3 wrt x?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -4565.9 times -1701\nAnswer: 7766595.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 0 - 1\/50*b**5 - 1\/75*b**6 + 1\/15*b**3 + 0*b**2 + 1\/30*b**4 + 13*b. Determine h so that n(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144)\/(-21) + (-8 - 1 - -2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 11 = -3. Suppose 2*k - 14 + d = 0. Solve -k*a + 0*m = 2*m, 0 = -3*a - 5*m - 19 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 5*k**2 - 2*k + 4. Let q be f(-5). Let l = q - 4. Let a = l + 12. What is the remainder when a is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8625)\/60)\/(-25) + 13 + -22)*4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**5 + 55290*q**4 - 152461685*q**3 - 2142598080*q**2 - 7508587520*q.\nAnswer: -5*q*(q - 5536)**2*(q + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12.9 - -13. Which is the closest to -1? (a) v (b) 1\/3 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/45 and 71\/27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 18*d. Let t(c) be the third derivative of 0*c + 1\/24*c**4 + 0*c**3 - 45*c**2 + 0. Calculate t(p(l)).\nAnswer: 18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 199047135 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4982\/7, 5, 3, -8, -1\/36 in increasing order.\nAnswer: -8, -1\/36, 3, 5, 4982\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 11*b**5\/30 - b**4\/2 + 3*b**2. Find the second derivative of f(u) wrt u.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (370\/(-333) + (-86)\/(-72))*(-16)\/(-2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/3*0 - -2. Suppose 2*j + 2 = 0, 3*f - f = -3*j + 1. Find the third derivative of -o*g + g**5 + f*g + 0*g**2 - 3*g**2 wrt g.\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4*z = -22928, -3*z = -6*p + 9*p - 17202. List the prime factors of p.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 182723, 365445, 548169, 730895, 913623?\nAnswer: 1096353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (4*(sqrt(147) + -3) - sqrt(147))**2)*4.\nAnswer: -2016*sqrt(3) + 5848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**16*p)\/(p**27\/p))\/(p\/(p\/p**3))**(1\/9) assuming p is positive.\nAnswer: p**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x**2 - 121*x. Let k(q) = -q**2 - 24*q. Give -11*k(f) + 2*p(f).\nAnswer: f**2 + 22*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 103*m**3*r**3 + 148*m**3 - 106*r**3 - 5*r**2 + 78*r - 32 wrt r.\nAnswer: 618*m**3*r - 636*r - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3309 is divided by 16*(-24)\/(-320)*15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qzqzqzzqkzzqzq. Give prob of picking 1 z and 1 k.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -9*t + 2. Let y(v) = 248*v - 5. Calculate w(x) + y(x).\nAnswer: 239*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 10*h**3 + h**2 - 17*h + 17. Let r be x(1). Solve -4*i = -s - 14, -9*s = -r*s + 3*i - 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*b - 29*b + 69*b + 432*b**3 - 19*b.\nAnswer: 432*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3512720 (base 9) in base 2?\nAnswer: 111001111011010111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*sqrt(242) + sqrt(2) + 4 + 2).\nAnswer: -60*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -121? (a) 102 (b) -5 (c) 0.028 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g. Let s(x) = -5*x - 2. Let v be s(-2). Let r be (-6)\/(6\/(-7)) + -5. Let u(l) = -8*l + v*l - r*l**2. Calculate h(u(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74891 + 112551. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 15*s**2 + 6*s - 25. What is the least common multiple of 11 and l(-12)?\nAnswer: 3685","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14, -29, -58, -107, -182?\n\"Answer: -r**3 - r**2 - 5*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -3, 0.8 in decreasing order.\nAnswer: 0.8, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*(-6048)\/(-648)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/15)\/(-13 + 1995\/150). Which is the nearest to m? (a) 1 (b) 5 (c) 0.6 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1421 = -258*y + 44*y + 4571. What is the remainder when 554 is divided by y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2310651168 and 97.93.\nAnswer: 2310651265.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57342620 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 14976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-16)*f**(-1\/10)*f*(f\/(f**(-2)\/f))\/((f*f**15)\/f) assuming f is positive.\nAnswer: f**(69\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 4*r - 11. Let z(m) = -m**3 - 6*m**2 - 3*m + 10. Let q be z(r). Solve -o + 3*d + 8 = 0, -o + q = 2*d - 3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 3:25 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9144904 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2314 - 705. What is the remainder when f is divided by 108?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzaz. What is prob of picking 1 a and 2 z?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -218 + 0*o**2 + 155*o + 11\/3*o**3. What is the first derivative of w(s) wrt s?\nAnswer: 22*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*i = i - 149, -139 = -2*d - 3*i. Find the first derivative of 21 - 6*k + 13*k + d*k wrt k.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 - g**3 + 3*g**3)*(-2 - 3*g + 5*g - g - g**2) + (-29*g + 35 - 35)*(-6*g**4 + 2*g**4 - 2*g**4).\nAnswer: 171*g**5 + 3*g**4 - 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 157 - 165.1. Let k = o - -8. Let d = 0.1 - k. Put d, 3, -2\/19 in decreasing order.\nAnswer: 3, d, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 301*a**6\/15 - 1263*a**2 - 3*a - 829. Find the first derivative of k(u) wrt u.\nAnswer: 2408*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4565761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -88, -177, -184, -67, 216?\nAnswer: 707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*(4*sqrt(9)\/sqrt(3) - -3*sqrt(18)\/sqrt(6)))**2.\nAnswer: 21168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -21. Find the third derivative of w**2 - 10*w**m + 6*w**4 + 0*w**2 wrt w.\nAnswer: -96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -123906778 bigger than -123906777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*n**5 + 7780*n**4 - 105058*n**3 - 193444*n**2 + 4566280*n + 1539600 = 0. Calculate n.\nAnswer: -6, -1\/3, 10, 1283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190584, 381226, 571868, 762510, 953152, 1143794?\nAnswer: 1334436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6 (b) -8 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15*-22700)\/((-15)\/100). Round q to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289 - (-5 - (4 - 7)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(11))*3 + (sqrt(176)*2 - sqrt(176)).\nAnswer: -3 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/11, 4, 1\/17, -1 in increasing order.\nAnswer: -1, 1\/17, 3\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57.6 - 40.7. Let l = j - 17. Let s = 0.4 - 0.2. Which is the nearest to -2\/9? (a) l (b) -0.4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**3 + 21*u**2 - 12*u - 8. Let o be i(-11). Solve -5*z = -o*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - r**2 + r. Suppose b - 7*f = -4*f - 10, -3*f + 25 = 2*b. Let g(s) = 6*s**3 + 5*s**2 - 5*s - 2. Let v = -166 + 167. Give b*h(c) + v*g(c).\nAnswer: c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5822 and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 3. Let b = -28 - -31. Let x = s + b. What is the closest to -1 in -0.3, -2\/9, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 1064?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01652425 rounded to three decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 90 - 26. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**3 + 5 + 0 - 16 + 0 - x**4 to a*x**2 + f + p*x + o*x**3 + l*x**4 and give f.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 187, 356, 535, 730, 947, 1192, 1471?\n\"Answer: i**3 - i**2 + 165*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 2*x + 3. Let g = 4 - 7. Let i be z(g). Suppose -4*w + 7*w - 42 = i. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 y when two letters picked without replacement from {y: 1, b: 1, j: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 23\/6*l**3 + 4 + 4*l**2 + 2*l + 3\/10*l**5 + 7\/4*l**4. Factor b(g).\nAnswer: (g + 1)**2*(g + 2)*(3*g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfddgfdgggffgg. Give prob of sequence ff.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -332 * 693.\nAnswer: -230076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6499.431ml to litres.\nAnswer: 6.499431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 17*t**2 + 29*t + 21. Suppose -5*k = -9*k + 60. Determine o(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2753, 2750, 2745, 2738, 2729, 2718, 2705?\n\"Answer: -a**2 + 2754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(486) - sqrt(486)*-2 - sqrt(486))\/(sqrt(9)\/sqrt(3)*5 + sqrt(3)) + 2*(sqrt(32)*-1 + -2).\nAnswer: -5*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 1.82 (c) -2\/3 (d) 2\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 72\/(-180) - (-11594)\/10. Suppose 21*r - f = -67. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-9 - (14 + -12)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/(m\/(m*(m\/((m\/m**(-1\/55))\/m))\/m))*m*m**(-15\/8))\/(m**(4\/11)\/(m*m**19)) assuming m is positive.\nAnswer: m**(9567\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/10 in -0.133, -1\/6, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 257427 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (33 - 46) - (2 - -11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48703?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 - 22 - -36) + -28?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/52 and 69\/37544?\nAnswer: 37544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k - 119*k + 112*k - 40. What is c(-10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 (base 7) to base 6\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 21 = b, 13 + 12 = -3*r + b - 0*b + 11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-24))\/((-48)\/216)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1*10139984\nAnswer: -10139984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3*d = -27, -z + 5*z - 4*d + 8 = 0. Solve -2*l = 4*k - 16, l - z*l - 2*k + 12 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**6\/40 - 21*l**5\/20 + 71*l**4\/8 - 51*l**3\/2 + 660*l**2. Determine n, given that h(n) = 0.\nAnswer: 1, 3, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -b + 25, 2*f = b - 24 - 1. Calculate the remainder when 49 is divided by b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.47429034 * -19\nAnswer: 9.01151646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + m = 104. Suppose 5*q + 4*a - 72 = 0, 4*q - m = 5*a + 7. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 17938, 17939, 17940, 17941, 17942, 17943?\n\"Answer: n + 17937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*q**3 + 1333787 - 1333787.\nAnswer: -215*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1740411 (base 8) to base 14\nAnswer: -d329b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7833 - -7821 - (-32 - 2).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1541772242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*v + 42*v + 8702 = 1904. Calculate the remainder when v is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 24853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*3\/(-6))\/(20\/(-20)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + w**2 + 2*w**2)*((-1 + 4 - 1)*(2*w - 2*w - 2*w) - 5*w + 29*w - 6*w)*(3*w**2 - w**2 + 0*w**2).\nAnswer: 56*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/12)\/(-3*55\/660)*-21\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36201*c = -36149*c + 208 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 432 and 5157.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 0 - 2) + 6. Suppose -x + 36 = d, 0*x - x = -y*d + 144. Let v be 4\/10 + d\/10. Sort 0, 2, v in decreasing order.\nAnswer: v, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h + 16. Let t be s(-4). Let q(k) be the second derivative of t - 2*k - 1\/12*k**4 - 1\/3*k**3 - 1\/2*k**2. Factor q(w).\nAnswer: -(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 8:26 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*k = 596. Let u = 158 - k. Calculate the lowest common multiple of u and 11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a. Let x(i) = 20*i. Let y(z) = 44*b(z) - 2*x(z). Let r(t) = 2*t**2. What is r(y(k))?\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p + 7 - 4434*p**2 - 3 - 6.\nAnswer: -4434*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 = 4*q - 5*o, -4199*o = 4*q - 4203*o + 96 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.029 - -3.029. Put -4\/5, x, 2\/153, 2 in descending order.\nAnswer: 2, 2\/153, -4\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**3*t**2 + 3*n**3*v**2 + 68*n*t**2*v**2 + 2*t**2 - 2*v + 15 wrt v.\nAnswer: 6*n**3 + 136*n*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -1026 and -22876 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 10*b**2 + 161*b - 161*b + 23*b**2 - 1.\nAnswer: 13*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 + 17*k + 80. Determine p(0).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*h + 5 = 6*h, -4*v + 5*h = -20. Suppose -3*m + 432 = v*m. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 5*y + 7. Suppose d - 4*z = -5*z + 4, 0 = 3*z. Let h be t(d). Let q = 35 - h. What is the smallest common multiple of q and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 + 0*h**3 + 2*h**3)*(h - 2*h - 2*h) + (-1 + 4 - 1)*(5*h - 3*h + h)*(-h**3 + 3*h - 3*h + (0*h**3 + 0*h**3 + h**3)*(-4 + 2 + 0)).\nAnswer: -21*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 4*z = 228. Suppose -2*l - z = -2*u + 3*l, -2*l = 5*u - 70. Let w be u\/4*(-3)\/(-30). Which is the nearest to w? (a) 0.5 (b) -0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.9811451761 + 8.5.\nAnswer: 14.4811451761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -2. Suppose 0*b - 630 = -5*b. Find the common denominator of 65\/16 and (2\/s)\/((-8)\/b).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 216 = -0*d. What is the remainder when d is divided by 10 + (5 + 7 - 8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 + -40. Suppose -15 = -8*k + 3*k. What is the remainder when g is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*x + 7*x + 500. Suppose -4*g - 5*i = -1534, 3*g + x = -i + 1645. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 2\/(-14))\/1. Let y = -117 + 115. Put s, -7, y in decreasing order.\nAnswer: s, y, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -298882 + -77?\nAnswer: -298959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1056568073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 7*o**2 + 10*o + 6. Let j be y(-8). Is (-27009)\/(-15) + j\/(-25) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-136*v + 812*v + 103*v)*(2*v + 1 - 3 + 0) as h*v + b + z*v**2 and give h.\nAnswer: -1558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 124772134 or 124772136?\nAnswer: 124772136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 166e59 (base 15) to base 11.\nAnswer: 682427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9776273 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -40 (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + -5*-2*sqrt(76) + sqrt(76) + sqrt(76))*3)\/(3*((sqrt(16) - sqrt(4))*-6 + sqrt(4))).\nAnswer: -13*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60448, -120892, -181362, -241870, -302428, -363048?\nAnswer: -423742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1744 + 3354. What are the prime factors of o?\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**6\/120 + u**4\/3 - u**3\/3 + 6*u**2. Is 20 a factor of r(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 8*k**2 - 4*k - 56. Determine q(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10091*8.\nAnswer: 80728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28 + (-6)\/12*-6. Suppose -13*y + n = -21. Solve 3*t = 3*h - 3, -t - t = -y*h + 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 8*y**3 + 3*y**2 + 12*y - 3. Let m be r(6). Let i = -3623\/2 + m. Which is bigger: i or 93?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 381 + 74?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 405 = 2*l - 4399, 5*d + 5953 = 3*l. 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 21\/5 of a micrometer in nanometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 285*k - 281*k. What is the derivative of 12*r**3 - 3*r - 11 + 18 + 0 + k*r wrt r?\nAnswer: 36*r**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 136050336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 675234, 675425, 675614, 675801, 675986?\nAnswer: 676169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4) + 4\/(-16). Let m = 5.9 + -6.23. Let j = 0.07 - m. Put t, -0.1, j in decreasing order.\nAnswer: j, t, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*3*7\/(-4). Suppose 5*f + y = 6. Let j(r) = 65*r - 453. Let g be j(7). Sort -2\/5, f, g in ascending order.\nAnswer: f, -2\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 128*u - 6. Calculate g(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2306 to two decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8648206)\/(-91290) + (-4)\/(-15)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3823\/15 - 255. Let a = f + -41\/30. Sort -4, 5, a, 1.7.\nAnswer: -4, a, 1.7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of i**4\/4 - i**3\/3 - i**2\/2 - 4*i + 1. Let b be m(3). Let r = 170 - 115. What is the highest common divisor of b and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34337 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m**2. Let j(s) = -6*s**2. What is y(j(q))?\nAnswer: -144*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 - 12*i + 1. Let s be j(9). Let x = 25 + s. Put -3, -4, x, -5 in descending order.\nAnswer: x, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(15\/40 - (-69)\/(-120)). What is the units digit of 6\/150*10 + (-23)\/u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*x**4 - 666658*x**3 - 37986663*x**2.\nAnswer: -240*x - 3999948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25\/2 in 1, 3, 53, 2, 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9584191397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 739764 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 2*s - 14 = 0, 591*l - 196*l + 1 = 202*l + 212*l + 5*s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1032 (base 5) to base 13\nAnswer: -ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 4261724 and 4261721 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 12:58 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53576 and 2972744.\nAnswer: 1448","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4359397366?\nAnswer: 2, 467, 4667449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5828 and 496?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**6\/105 - 3*t**5\/70 - 17*t**4\/42 + 13*t**3\/7 - 20*t**2\/7 - 1647*t. Factor r(x).\nAnswer: 2*(x - 5)*(x - 1)**2*(x + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -62114, -249526, -561880, -999176, -1561414?\n\"Answer: -62471*j**2 + j + 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.7 - -35.8. Let g = 24 - n. What is the nearest to g in 0, -5, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 + 2066*o - 2086*o - 2*o**2. Let y be s(-5). Solve -g + 30 = -6*g - 5*n, g + 3*n + 10 = y for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-2 + 4 + sqrt(5))**2 - (sqrt(60)*1)\/sqrt(12)).\nAnswer: 9*sqrt(5) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3448056*x - 19434 - 6571 + 3448057*x)*(2*x**4 + x**3 - x**3).\nAnswer: 2*x**5 - 52010*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2182071 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6544485 millilitres to litres.\nAnswer: 0.0006544485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -5*n + 30. Let u be (n + -5)\/(-3) + 10. Solve 8 = 2*o + r - 2*r, 0 = -u*o + 5*r + 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -337 + 637. Suppose 0 = -3*x - f + 291, 15*x - 4*f = 18*x - l. Calculate the highest common divisor of x and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 2\/3, 6\/65, 0.2 in increasing order.\nAnswer: 0.02, 6\/65, 0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1813911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4249, -4245, -4241, -4237, -4233?\nAnswer: -4229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-2))\/((-2)\/4). Suppose 20 = -d*z + 85. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96890.\nAnswer: 2, 5, 9689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6940134960 to the power of 1\/2, to the nearest integer?\nAnswer: 83307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 0*i + 0*i + 2598*i**2 - 4289 + 2953 wrt i?\nAnswer: 5196*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/((l*(l**(-2)*l)\/l)\/l)*l**6)\/(((l**6\/l*l)\/l)\/l*(l*l**(1\/2)*l)\/l) assuming l is positive.\nAnswer: l**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, 2\/3, 12203, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6*p**2 + 28*p - 17. Let j be o(7). Calculate the greatest common divisor of 43 and j.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = -323*f + 342*f. Solve 0 = 3*x + 3*m + f, m = -2*x + 4*m - 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 7*x - 454. Let l be v(66). Let m(i) = i**3 - 9*i**2 + i + 33. What is m(l)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/216 and -95\/63162?\nAnswer: 757944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, k: 4, n: 3, f: 3, p: 4, m: 5}. Give prob of picking 1 n and 1 p.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 0.3, -0.009, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 1, 4, -23 in ascending order.\nAnswer: -23, -3, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 91, 121, 171, 247, 355, 501, 691?\nAnswer: 931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 154, 209, 264?\n\"Answer: 55*d + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -184*k**3 - 6*k + 3486*k**5 + 9*k - 3484*k**5 + (-1 + 1 - 1)*(0*k**2 + 0*k**2 - k**5) - 2*k**5 + 0*k**5 + 0*k**5.\nAnswer: k**5 - 184*k**3 + 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1446 - 1446.5035. Let m = q - -0.42. Round m to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 161700297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 428336 and 10.\nAnswer: 2141680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(121)*-2*-2*4)\/(sqrt(132)\/(sqrt(12)*-1) - sqrt(11) - sqrt(825)\/sqrt(3)))**2.\nAnswer: 45056\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -61221440 (base 7) in base 11?\nAnswer: -2972136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32845*c + 33041*c = 784 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 6)*(-11)\/(-36 - -80).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2463 - -2464. Let k = -9 + 19. Let h(f) = f**3 - 11*f**2 + 11*f - 13. Let d be h(k). What is the biggest value in 1\/4, o, 0.3, d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of 2*v**7\/105 - v**6\/15 - v**5\/5 + 4*v**4\/3 - 8*v**3\/3 + 21*v**2 - 1. Suppose b(h) = 0. What is h?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 680*x**3 + 4*x + 7. What is a(-1)?\nAnswer: -677","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -240?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388*g**2 + 620*g**2 + 28*g**2 - 136*g**2.\nAnswer: 900*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -1\/2*r**3 + 0*r + 1\/4*r**2 + 0 + 1\/4*r**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -12*l**3 + l**2 + l - 1. Is a(-3) 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 226, 240, 274, 328, 402, 496?\n\"Answer: 10*p**2 - 16*p + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 2. Let b(a) = -182*a + 2939. Let z be b(16). What is the greatest common divisor of z and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9642 - 9642.8006. Let a = 0.8 + z. Round a to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i = 17*i - 82 + 269 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 - 42*n**2 - 380*n - 336.\nAnswer: 2*(n - 28)*(n + 1)*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 4)\/(-4) + 4. Let w(n) = 83*n - 1 - x + 2. Is w(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651 a factor of 430306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*q**2 + 3 - 2 - 11*q**2 in the form v*q + i + r*q**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64333, 69383, 74433, 79483, 84533?\nAnswer: 89583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -180 - -180. Suppose -8*o + 20*o - 1512 = f. What is the greatest common divisor of o and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(2\/5)\/x)\/x*x)\/x)**(-23)*x**(-5)\/(x\/(x**1*x)) assuming x is positive.\nAnswer: x**(164\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/4 and ((-26)\/7 - -3)\/((-4)\/11).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 324 (base 6) to base 14\nAnswer: 8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 32, 1, -52, -133, -248?\nAnswer: -403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + t**2 + 5*t)*(t**2 + 3*t**2 - 2*t**2) - t**4 + t**4 + 2*t**4 + (-1 - 1 + 1)*(t**4 + 2*t**2 - 2*t**2) + 63*t**4 - 125*t**4 + 28*t**4.\nAnswer: -31*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1843 + -1843. Solve 0 = 2*l - n*x - 5*x + 4, 8 = 4*x for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.15 and 0.837?\nAnswer: 0.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*v**2 - 1 - 7*v**2 + 2 - 3*v - 8 in the form d*v + s + k*v**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 378 divided by -3.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 - -87. Suppose -63*m + 50 = -w*m. Solve n - m = -n, 3*c + 29 = 4*n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -3*p**4 + 183*p**3 + 399*p**2 - 1335*p + 756 = 0.\nAnswer: -4, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 + -51. What is the remainder when ((-1524)\/420 + (-3)\/k)*-10 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + j = 5*j + 10, -5*j - 9 = 3*t. Which is the nearest to -0.1? (a) t (b) 2\/3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -0 + 16. Let p be (i\/10)\/((-1)\/10). Suppose 5*o - 19 = p*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(756) + sqrt(21))\/(sqrt(7)*-2*1) + 3.\nAnswer: 3 + 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + -37. Let u = v + 48. What is the second smallest value in -0.05, 0.1, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*a**4 - 3*a**4 - 42*a**4)*(-3 + 0 + 1) to u + x*a + y*a**2 + l*a**4 + k*a**3 and give l.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*o + 2*o + o)*(2 - 2 - 13) + (2 - 1 - 3)*(-3*o + 2*o + 3*o) + (0 - 4 + 6)*(41*o - 6*o + o))*(-2*o**2 + 2*o**2 - 2*o**3).\nAnswer: -188*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12498134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4205)\/(-7) + 2\/7. Suppose 5*h - a = -156. Suppose -15 + h = 2*q. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 7:45 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 16. Suppose k + 7 = 5*d - 62, -y*k = 20. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 115 = -415. Let n(y) = 8*y**3 - 10*y. Let p(s) be the second derivative of -s**5\/20 + s**3\/6 - 1269*s. Determine v*p(j) - 6*n(j).\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 3*x**2 + 2*x + 1. Let l be b(3). Let h = l + -5. Suppose j = -h*j + 6. Solve -2*q = 4, -3*q = 4*o - 0*q - j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(((a*a**(1\/3))\/a)\/a)\/a)**(-49))**(2\/23) assuming a is positive.\nAnswer: a**(196\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(432) - (1 + sqrt(432)))*-6 + sqrt(432) + 2 + sqrt(432)*-1)**2 - (6*((sqrt(432) - -2*sqrt(432)) + 0)*1)**2.\nAnswer: -139868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, -0.3, 3, 0.1, 1\/8, 257188?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 152866 times -4\nAnswer: -611464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1715 * -0.5\nAnswer: 857.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1184537 seconds in nanoseconds?\nAnswer: 118453700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -160562*c**6*i + 213*c**3*i + 33*c**2 + 72858*i wrt c.\nAnswer: -19267440*c**3*i + 1278*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-9\/2)\/s*s**(-1\/3)*(s\/(s*(s**1\/s)\/s))**(-16))**(-5\/7) assuming s is positive.\nAnswer: s**(655\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8378, -16033, -23684, -31331, -38974, -46613?\nAnswer: -54248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 30 + 9 - 17 - 16)*(-27*i - 7*i + 8*i).\nAnswer: 1196*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-242)\/(-6))\/((-3)\/9). Let y = g - -218. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - 104\/(-78)*(-84)\/16. Let a(l) = 4*l**2 + l + 1. Let f(r) = 13*r**2 + 4*r + 3. Calculate b*a(s) + 2*f(s).\nAnswer: -2*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 at least as big as 856?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 - 3000*h + 2998.\nAnswer: 2*(h - 1499)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-6))\/((-2)\/(-12)). Let u = 57 - 43.1. Let g = 14 - u. What is the nearest to g in i, -3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/(-9)*(-33)\/(-22) + 5. Put -1, 3, r, -10 in decreasing order.\nAnswer: 3, r, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 64887, 64816, 64677, 64464, 64171, 63792, 63321?\n\"Answer: -s**3 - 28*s**2 + 20*s + 64896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52046 + 1.568.\nAnswer: 52047.568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 147 - 96. Let g = h + -50.999743. Round g to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -36\/5*u + 0 - 6\/5*u**3 + 42\/5*u**2 = 0. Calculate u.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 16*t**2 - 125*t + 61. Give w(7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1*h*h*h**(1\/3))\/(h**5*(h*h**(-2\/5))\/h)*(h**(-3\/4)\/(h*h*h**(-4\/7)))\/(h**6\/(h**(4\/9)*h)) assuming h is positive.\nAnswer: h**(-10081\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*d = 35*d + 684 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2\/7)\/o)\/o)\/o*o)**(-9)*o**(1\/8)\/((o\/(o*o**(-3)*o))\/o) assuming o is positive.\nAnswer: o**(1103\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2*z - 3)*(-3*z + 2*z - z) + 3*z**2 - 2*z**2 - 2*z**2 - 19 + z**2 - 2*z - 16 + 37 to s*z + v*z**2 + c and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 488 - 321. Suppose -z = -7*f + 246. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(4\/3)\/m)\/m**6*m**(2\/13)\/(m*m**(-8)) assuming m is positive.\nAnswer: m**(58\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 102581*f + 205171. Give p(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**3 + 29*j**2 - 15*j + 13. Determine h(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 d when two letters picked without replacement from {x: 1, i: 1, o: 1, t: 1, m: 1, d: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 - -48. Suppose 0 = -p*n + 1022 + 328. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 156 and 12?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32010?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 16, 17, 6, -17?\n\"Answer: -6*j**2 + 19*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 15. Suppose j = 2*r + 14 - 38. Suppose 4*z + z - r = -c, -6 = -3*z. Solve c = -p + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 166 and 145801950.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-4)*2 - -4 - 3. Let c(k) = 443 + k**3 - 4*k - 899 + 454 - 3*k**2. Give c(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1729382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -3, -2, -3, -6, -11, -18?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 1\/18, 2\/13 in decreasing order.\nAnswer: 2\/11, 2\/13, 1\/18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*b**3 - 5*b + 70*b**3 - 37*b**3 + 5*b.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*j**2 + 2*j**3 - 10*j**4 + 14*j**4 - 2*j**3 wrt j.\nAnswer: 96*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110582.\nAnswer: 2, 55291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -95\/594 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1022 + 53?\nAnswer: 1075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) 5 (b) -4 (c) -158 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of 5*u**4\/6 - 3*u**3\/2 - u**2 - 8*u. Let t(y) = y**2. Calculate h(t(n)).\nAnswer: 20*n**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.0122 * -2623\nAnswer: -32.0006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -874965\/32 + 27345. Calculate the common denominator of -21\/184 and b.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1, 0.05, 162 in decreasing order.\nAnswer: 162, 0.05, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100111010 - -1101101?\nAnswer: 1110100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -181*y**2 + 41*y - 36. Let v(c) = -35*c**2 + 8*c - 7. Let l(u) = 6*f(u) - 31*v(u). Let h(a) = a**3 - 3*a. Determine 2*h(n) - 3*l(n).\nAnswer: 2*n**3 + 3*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08383 minus 23754?\nAnswer: -23754.08383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 13. What is m(0)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*sqrt(396))**2 + (-1*sqrt(396))**2*3 - (-4*(2*sqrt(275))**2 + -2).\nAnswer: 24*sqrt(11) + 5990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 58*w - 57*w - 9 = 0, 4*w + 8 = -3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**9\/n**(-7))**(-34) assuming n is positive.\nAnswer: n**(-544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24038285?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 383583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1423*b**3 - 2*b*y - 2*y + 2089 with respect to b.\nAnswer: -4269*b**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/93328 and 37\/152.\nAnswer: 93328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3047\/8 - 380. Let t = m - 89\/120. Which is the third smallest value? (a) -0.4 (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 6 + 0*t - 1\/2*t**2. Let g(z) = 5*z. Give g(s(l)).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2292 (base 16) in base 2?\nAnswer: -10001010010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1337517.\nAnswer: 3, 353, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/4 (b) 8 (c) 0.08 (d) 9\/5 (e) -0.023\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 6*u - 4. Let d be v(8). Let h(p) = -p**3 - 19*p**2 + 9*p + 40. Let t be h(d). Calculate the highest common divisor of 104 and t.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-1*2)\/2). Let j = 53 - 27. Let x = j + -22. Which is the nearest to x? (a) -0.4 (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 5 (b) -1 (c) -0.2 (d) -2 (e) 4 (f) 11\/57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 30 - 35 - c - 30.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 + -405415875.\nAnswer: -405415884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60 + -56. What is the second biggest value in 0.8, v, 2\/7?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11394?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -259580a (base 11) in base 8?\nAnswer: -21075143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -673 + -6?\nAnswer: -679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 4*s + 3*z, 4*s - 23 = 11*z - 36 - 62 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 672*z = 2070*z + 47532 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 6. What is the units digit of (a + 0)\/((-6)\/(-12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79 + -42. Let k = 104 - b. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 6*sqrt(99)*-4.\nAnswer: -72*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129430 is divided by 2489?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 482017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 23*m - 26. Let g be s(24). Put -5, 32, 1, g in decreasing order.\nAnswer: 32, 1, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4995 and 999.\nAnswer: 4995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 67893 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3 - 2455*f**2 - 414742*f - 2400288 = 0 for f.\nAnswer: -2273, -176, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5d7416 (base 15) to base 4\nAnswer: -101011220322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30230717 + -3?\nAnswer: -30230722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvv when three letters picked without replacement from vaaaavaaaaaaavaa?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 171\nAnswer: 68.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 9) to base 13.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -4. Suppose -d*i = -4*i - 2. Solve 3 + 2*v**3 - 3 - i*v**2 = 0 for v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -140 + l**2 + 134 - 2*l**2 to x*l + o + n*l**2 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1387927.9 to the nearest ten thousand.\nAnswer: -1390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccg when three letters picked without replacement from cgggggc?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2 + 17*d. Let y be 7\/3 + (-4)\/(-6). Let z(q) be the first derivative of q**3\/3 + 3*q**2 - 166. Determine y*m(x) - 8*z(x).\nAnswer: x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.02 (b) -0.3 (c) 1009 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 28771074362 and -1?\nAnswer: 28771074363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(13200\/45)*(-10)\/12\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2078888 to the power of 1\/4, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 82*b*j*p**2 - 730305*b + 3*j*p**2 + 38*j + 3967*p**2 wrt p.\nAnswer: 164*b*j*p + 6*j*p + 7934*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16729, -67077, -151043, -268627?\nAnswer: -419829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18 - 21)*13\/(-3). Suppose 2*n + 4*u = -10, -2*u + g + 2 = -3*n. Let f(k) = -k + 5. Give f(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*q + 1, z + q - 26 = 5*z. Let i be z\/14 + (-22)\/(-4). Suppose 0 = i*p - 5*g + 25, -g = -p + 5*p + 40. Which is smaller: p or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s**3 - 22*s**2 - 16*s - 26. List the prime factors of r(-6).\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -1, -3 in decreasing order.\nAnswer: -1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 + u - 3. Determine h(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 2*q - 29. Let s(k) = k**2 + 3*k + 28. Suppose 0 = 5*h - 3*h + 4. Let t(x) = h*s(x) - 3*o(x). Let c(z) = -z. What is t(c(i))?\nAnswer: i**2 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 109483983\/17 + -6438090. Let h = 2143 - l. Do -1 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10329?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.062 * -0.4\nAnswer: -0.0248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.038953332 rounded to three decimal places?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 351095071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(((d**(1\/25)\/d)\/d*d)\/d))\/d)\/d**4*d**(-9)\/(d*d**12) assuming d is positive.\nAnswer: d**(-601\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -74748*k**4 + 57849*k wrt k.\nAnswer: -896976*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3641642 (base 7) to base 12.\nAnswer: -1a4678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 16. Let t(c) = c**2 + 2 - 1 - 4 + 4*c. Let x be t(-5). Solve 0*h = x*h - s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10762308 a multiple of 322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6534480 by 3.\nAnswer: 2178160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -7*p**2 - 1. Give c(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 201970454*t + 57138209?\nAnswer: 201970454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-64)\/(-10))\/((-2)\/(-5)). Suppose 8 = 4*n - 0. Calculate the highest common divisor of d and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 7*o + 16 = -2*o. Which is the closest to o? (a) 5\/2 (b) -0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/35 - 39\/(-15). Let s(c) = 9*c + 22 - z - 4*c. Let y be s(-3). Solve 4*k - 4 = 5*n + 9, -y*n = 4*k - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/h**(-11)*h*h**11*(h*h\/h**(2\/7)*h)**46 assuming h is positive.\nAnswer: h**(1049\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, f: 4, z: 1, t: 2, i: 1}. Give prob of sequence viv.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1441*p + 598 = 1443*p. What are the prime factors of p?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1196106 and 2861424.\nAnswer: 3846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 11:33 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 24\/4 + (-17 + -9)\/(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.87 - -0.13. Which is the nearest to s? (a) 2\/5 (b) 0.2 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 880 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 4:36 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(8 - -2)*4\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1191 and -4.\nAnswer: -4764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1417514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*a - 659 = 164, 0 = 2*w + a - 1661. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-1*(sqrt(250)*-2 - sqrt(250)) + sqrt(250))\/sqrt(5))**2 + -2.\nAnswer: 12798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -389, -32 in increasing order.\nAnswer: -389, -32, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12433 (base 5) in base 15?\nAnswer: -463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, s: 3, p: 6, h: 4}. Give prob of sequence sh.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 93\/(-31)*(-1 + (-50)\/(-54)). Let a = 5 - 9. Let s = 2 + a. What is the second smallest value in 2\/7, 0.1, p, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 24. Let k = g + 17. Let a = -0.04 - -0.05. Sort a, -1\/2, k in descending order.\nAnswer: k, a, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -673*g - 37010 = 316*g - 1327 + 11789 for g.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2348 - -2349. Solve 2*y = -f - 0*y + t, -5 = -5*f - 4*y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18535 + 18833. What is the remainder when t is divided by 93?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -121*a**3 - 957*a**2 - 10. Let f(y) = -y**3 + 2*y**2 + 2. Let l(p) = -b(p) - 5*f(p). Find the third derivative of l(w) wrt w.\nAnswer: 756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1519 is divided by 503?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 + q**2 - q + 1. Let p be 5*(-5)\/(-50)*2. Determine i(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**10\/136080 + t**9\/34020 - t**7\/5670 + t**6\/3240 - t**4\/3 - t. Let r(b) be the third derivative of g(b). Factor r(j).\nAnswer: -2*j*(j - 1)**3*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -5, -25, -952 in decreasing order.\nAnswer: 10, -5, -25, -952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4324320432?\nAnswer: 2, 3, 67, 49801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*k - 488 - 30 + 42 for k.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cqqqqqqqqcqqqqqqqq.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4846 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: What is the product of -0.1 and -1.57?\nAnswer: 0.157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -8*s + 20. Determine h(6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3472 and 0.3?\nAnswer: 3472.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2*c - 10 = 0. Let r = c - 2. Let h(j) = j**3 + 9*j**2 + 7*j + 9. What is the tens digit of h(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1, 20, 55, 112, 197, 316?\n\"Answer: d**3 + 2*d**2 + 6*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 22733 (b) -3 (c) -2 (d) 3\/5 (e) 1 (f) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-32)\/(-7) - (-36)\/(-63). Suppose -15 = -b - 3*o, 4 = -v*b + 3*o - 11. Solve -2*c + b + 3 = -s, -2*c - 6 = -4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55471156 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, -3, 1836, 5 in descending order.\nAnswer: 1836, 5, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, r: 1, i: 4, b: 1, a: 1}. Give prob of sequence ram.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - r - 10 + 1, -2*g = 4*r. Let t be ((-9)\/(-6))\/(g\/(-16)). Let h = t - -3. Which is bigger: h or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 9*f = -30. Suppose 6*k = k + f. Let p be (-2)\/(3*1\/k). Which is bigger: p or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10409665961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*((-10)\/(-6))\/(-1). Let b(v) = -v + 1. What is b(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 2 + 27. Suppose -23 = -l*o - 3, -8 = -p - o. Suppose 3*z - 4*z = 0. Solve -k + z = a - 5, 0 = 4*a - 2*k + p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-4) + ((-521145)\/(-50) - -1). Let z = 10422 - y. What is the common denominator of -47\/88 and z?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 1209*d**3 + 7*d**2 + 14*d - 11. Is x(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-1\/2))**(1\/2)\/(z*z*z*z*z**1*z*z*z**(-3)))\/((z\/z**(-2\/3))**(-7)\/(z**(1\/3)*z**(-2\/7))) assuming z is positive.\nAnswer: z**(237\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 11*j**2. Let y(r) = r**2 - 343. What is y(c(g))?\nAnswer: 121*g**4 - 343","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 19*u - 23. Suppose -y - 2*m + 20 = 0, -6*y + 3*y - 3*m + 48 = 0. What is the remainder when v(y) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/8*1*-2. Let b(w) = -3*w - 1. Let k be b(a). Suppose -4*m + 23 = 3*p, -k*m = 4*p - 2*p - 18. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0.01, -3 in decreasing order.\nAnswer: 0.01, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 3*d + 33, -2*d + 4 = -0*s - s. Let m(w) = 93 + 119 - 5*w - 209. Let q(l) = -l. What is s*q(p) + m(p)?\nAnswer: p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 3*k**2 - 17*k + 4. Let r be h(6). Let x(l) = -11*l**2 + 109*l + 8. Let o be x(r). Put -4, 1, 117, o in increasing order.\nAnswer: -4, o, 1, 117","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10, 15, 20, 25?\n\"Answer: 5*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 7*n + 3587. Calculate the remainder when 364 is divided by x(-56).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3595104 divided by 49248?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1310 divide 13465096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23*r*z**4 - 22*r*z - 109020*r + 3*z**3 wrt z?\nAnswer: 92*r*z**3 - 22*r + 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 + -17. Calculate the remainder when 77 is divided by l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -80930 and -80930 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 166030 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392766992 is divided by 50.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/35905 and -77\/205110.\nAnswer: 34253370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 + 719*f - 12618.\nAnswer: -(f - 701)*(f - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 3*q - 28 - 28 = -35, 5*b + 1 = -2*q for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**5\/20 + 3*m**2\/2 - 6*m. Let y be w(0). Suppose -10 = -y*z + 2. Solve -g = z*g - 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from ggfgfffggfgfg.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -183*i**3*l + 3116*i**3 - 16*i*l - l - 6 wrt l.\nAnswer: -183*i**3 - 16*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 866487?\nAnswer: 3, 367, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 10*x**2 + 9. Let y be l(-10). Let a = y + -6. What is the lowest common multiple of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 4*z. What is j(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 14 = 4*b - 14, -3*b = -4*n + 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -28, 0.5, 479?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 51*s**2 + 2*s - 3. Let n be r(1). Suppose -y - 4*m + 11 = -6, 0 = -5*m + 15. Suppose n + 50 = y*u. Solve 5*d + 0*d = -u for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -6*y**2 + 10. Let n(z) = 7*z**2 - z - 11. Let u(w) = -5*n(w) - 6*p(w). What is u(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3792195 to the nearest integer?\nAnswer: 1947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b (base 13) in base 11?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2906 is divided by 83.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(66)*-5 - (sqrt(66) - (sqrt(66)*-3*2 - sqrt(66))))\/(2*(-2*sqrt(2646) - sqrt(54))).\nAnswer: 23*sqrt(11)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17694 is divided by 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, j: 1, t: 4, s: 2, m: 2}. What is prob of picking 1 t and 1 b?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 45207*u + 1808350. Calculate k(-40).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/9 + 2\/6. Suppose -19 = -3*s - d. Let l = s + 0. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -9. Let y(a) = 19*a**2 + 2*a - 2. Let f(h) = -37*h**2 - 5*h + 5. Let z(w) = 2*f(w) + 5*y(w). What are the prime factors of z(c)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.403608 rounded to one dp?\nAnswer: -12.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2 take away 0.3418437?\nAnswer: 3.8581563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5392353835 and 194.5.\nAnswer: 5392354029.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1529 (base 11) to base 8\nAnswer: 3657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3\/2, -3\/5, 3, 33, 34 in decreasing order.\nAnswer: 34, 33, 4, 3, 3\/2, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 12) in base 7?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 96 + 7*g**2 + 7*g**2 - 17*g**2 - g**2 + 5*g**2 in the form c + b*g + z*g**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00693113648 rounded to 5 decimal places?\nAnswer: 0.00693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(187))\/(sqrt(11) + 6*(sqrt(11) + sqrt(11)*-1)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1177830?\nAnswer: 2, 3, 5, 23, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + f - 22346 = 0, -2*r - 1663 = 5*f - 16569. Let s = r - -146034. Suppose 0 = 2*b - 6518 - s. Round b to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 456\/5 + -92. Let h = -0.516211 + 0.116211. Which is the nearest to -0.1? (a) -35 (b) h (c) -5 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*n + 1428 = -77*n. Does 4 divide 5236\/n - 4\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -42314?\nAnswer: -42322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 20 - 19 = -3*a - a, -157*k - 5*a - 755 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 10. Let k be t(10). Suppose 0 = -5*d - 2*a + 7, k*a + 2*a = 4*d - 20. Differentiate 17*j - 14 + 0*j + 2*j - d*j with respect to j.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - ((-2 - -1) + -3 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*v**4 + 21589*v**3 - 7330*v**2.\nAnswer: 48*v + 129534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z. Let d(x) = -7472*x + 2. Determine c(d(y)).\nAnswer: -14944*y + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*i - 23*i - 45*i**3 - 3*i**4 - 2*i**4 + 23*i**3 + 21*i**3 + 2*i**2 to the form p + g*i**4 + f*i**2 + y*i + c*i**3 and give y.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2560264 and 349.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.38 * -3.\nAnswer: 1.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 less than 102981213183?\nAnswer: 102981213147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/6)\/(4\/204). Let j = -7 - i. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 168 - 133. Suppose 2*x + 40 = 2*c, -5*c - d + 125 = 5*x. Suppose c*g - 18*g - 152 = 0. Is 38 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0095539147 to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -538573\/899 + 18570\/31. Let p = 7\/29 + c. Which is smaller: -2 or p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) 2 (b) 13\/2 (c) -12\/11 (d) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 69394?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 3:16 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 61865 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.8280209 to 1 dp.\nAnswer: 18.8","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (2 - 1)) + (1 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 205494198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 510, 1020, 1530, 2040, 2550, 3060?\n\"Answer: 510*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 197, 292, 387, 482, 577?\nAnswer: 672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1093266.\nAnswer: 2, 3, 60737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**3\/3 + 3*i**2\/2 - 2*i - 29. Let p(k) = 9*k**2 + 26*k - 17. Let f(c) = -6*p(c) + 51*t(c). Factor f(g).\nAnswer: -3*g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millennium in years?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27215 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, i: 1, m: 4, s: 2}. What is prob of picking 1 p, 1 s, and 2 m?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34.3476675581 - -8.\nAnswer: -26.3476675581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 4*s + 4, -3*s + 462 - 461 = 2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 962430.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 249574 to the nearest ten thousand.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 113, 166, 215, 260, 301?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17 + 0 + -3 - -4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 32a68b?\nAnswer: 32a689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 13.371ml?\nAnswer: 0.013371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 + (-414 + 390 - (-2 - 18)) + 2 + -14.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7964.\nAnswer: 2, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - l + 4. Let x = -3 + 7. Suppose x - 19 = -5*o. Is 9 a factor of p(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -7*j**5\/20 + 55*j**4\/24 + 5*j**3\/3 - 965*j**2 - 2. Let d(x) = -4*x**2 + 11*x + 2. Calculate -11*d(g) + 2*i(g).\nAnswer: 2*g**2 - 11*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -3 - 105. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -213433433 (base 5) in base 8?\nAnswer: -3407036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 495556757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -4*u + 16, 101*u - 100*u - 5*w + 8 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -884.0378 - -884. Which is the second biggest value? (a) -5 (b) f (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1*-10)\/1*(-120)\/75. What is the first derivative of 43*x**4 + m - 4 - 40 wrt x?\nAnswer: 172*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -7, -2, 4, 2, -3, -438.\nAnswer: -438, -7, -3, -2, 2, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 + 103 = -19*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 243 = -223. Solve -1\/2*l**3 + 0 + 1\/4*l**v + 0*l + 1\/4*l**2 = 0 for l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(-5\/4)*z*z**(-12\/11)*z**(-24)*z**(-6) assuming z is positive.\nAnswer: z**(-1225\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5729 is divided by 63.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 26041880 rounded to the nearest 1000000?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.22 at least as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2923 - 84735\/29. Let p = 1537880400\/13 - 4456776538873\/37674. Let o = p + -4\/1449. Calculate the common denominator of r and o.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 117*r + 2547. Calculate the lowest common multiple of 18 and v(-21).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 201*l**2 + 134*l + 12. Let t(b) = -200*b**2 - 133*b - 9. Let r(k) = -3*d(k) - 4*t(k). What is the second derivative of r(m) wrt m?\nAnswer: 394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.8845955 years?\nAnswer: 0.0008845955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -9*z - 12. Give x(6).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3425940?\nAnswer: 2, 3, 5, 7, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 1 - 10. Let a(b) = b**2 - 4*b - 1. Determine a(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 - 2)*(0*d**2 + 0*d**2 + d**2)*(-151 + 7*d**2 + 151) as h*d**3 + f + v*d**4 + l*d**2 + i*d and give v.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 5*u + 0*u)*(0*u**2 - 5*u**2 + 3*u**2)*(4*u**2 + 4*u**2 + 0*u**2) + 3*u**5 - 32*u**5 - 28*u**5.\nAnswer: -41*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrxvvmrrsv. Give prob of picking 1 x and 1 s.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 6*t**2\/11 + 33047785*t\/11 - 27539825\/11 = 0.\nAnswer: -5507965, 5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5*r + 14. Let c(w) = w - 1. Let k(h) = b(h) - 4*c(h). Determine k(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 169 + 123 = 0. Let d = p - 67. What is the least common multiple of d and 33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/15 of a millennium?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21*(-10)\/1750)\/(4\/(-40))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12.86653 times -0.3\nAnswer: 3.859959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**2 - 5*u - 2. Let h be w(2). Suppose 0 = -r + 2, h*s - 366 = -2*s + 2*r. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6)*((-90)\/24)\/(-5).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19453306 rounded to five decimal places?\nAnswer: 0.19453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1673 (base 12) in base 2?\nAnswer: -101001110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + t = 20. Suppose -4*d + 3*d = -5. Suppose 5*f - 165 = -d*g, -g - 5*f + 68 - 23 = 0. Calculate the greatest common factor of g and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1111592133\/20 + 55559117. Let v = -20484 - r. Find the common denominator of v and 79\/148.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**2 + 27*c - 66 = 0.\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-44)*15587\/872*(-48)\/(-9)?\nAnswer: 52\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17520 and 185420?\nAnswer: 2225040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovqoxvex. What is prob of sequence evq?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 22768005 and -15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 + 65*c + 169. Calculate g(35).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41588 and 204249065?\nAnswer: 10397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 156.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 9*n - 2. What is s(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 0) + -12 + 1. Let y be (0 - 3)*(-6)\/z. Suppose 0 = 4*t + 7 - 23. What is the third biggest value in 2, t, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 11*a - 98. Suppose -2*l - 4 = 3*o, l - 8 = 3*l + 2*o. Let v(q) = 3*q - 33. Let y(c) = l*v(c) + 3*r(c). Suppose y(h) = 0. What is h?\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*g**3 - 13*g**2 + 13*g**2.\nAnswer: -151*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**4\/7 - 711128*l**3\/7 - 4266720*l**2\/7 - 8533408*l\/7 - 812704 = 0.\nAnswer: -355558, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4349832?\nAnswer: 2, 3, 181243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 15 = -p. Let k be 1 + 1*52\/p. Suppose -183 = -151*y - 32. Which is bigger: y or k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -674 (base 10) to base 14.\nAnswer: -362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*o**2 - 132*o - 36 = 0. What is o?\nAnswer: -3, -3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 9:44 AM?\nAnswer: 10:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 8. Let s = -4 - -6. Suppose -s*f + 1 = w, 2*w + 4 = 3*f + 6*w. Solve -d + 4 = 0, f*d = 2*t - d + r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -18.6. Let f = 0.44 + 4.16. Let o = x + f. Put -2, o, 1 in decreasing order.\nAnswer: o, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-135)\/25 - -6)*(4 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 9) to base 13\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 2*h**3 + 17 + (4*h + 4 - 4)*(5*h - 5*h + 7*h**2) to the form w*h**3 + k*h + a*h**2 + j and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6\/11*r**2 - 74\/11*r + 48\/11 + 2\/11*r**4 + 18\/11*r**3 = 0.\nAnswer: -8, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3 = 7. Let s(n) = n - 12. Let z be s(4). Let i(c) = -c**3 - 8*c**2 - c - 4. Let j be i(z). Solve -j*u + k = -5*x, -x - x + u - 5 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) 0.5 (b) -2 (c) -397\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/9330 and -93\/1318.\nAnswer: 6148470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 511957 - 233928. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 786\/7 - 112. Let v = 1983\/1351 + 20\/193. What is the smallest value in k, -0.1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2675, 10637, 23957, 42641, 66695?\nAnswer: 96125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -1991708?\nAnswer: 1991706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 234\/(-65)*(-62 + 8). Find i such that -n + 108\/5*i - 3\/5*i**2 = 0.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - 3*v + 15, -25*a - 17 = -29*a - v for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*z - 247445 = -100277. Does 73 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 5*v**2 - 6*v - 6. Let n be s(-4). Let j = 4 + n. Find the third derivative of 11*c**j - 3*c**6 - 12*c**2 + 2*c**6 wrt c.\nAnswer: 1200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + 18*x - 88. Let v be j(19). What is the highest common divisor of v and 232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -w**6\/40 - w**5\/60 + w**4\/24 + w**3\/6 + w**2. What are the prime factors of v(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -502*m - 1778 = -2201 - 1594 - 3003 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7783\/3 - 124759\/48. Find the common denominator of 73\/628 and i.\nAnswer: 2512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 + 7*b + 8. Let z be s(-6). Let q be (2 - 1)*2\/(-2). Is 94 + q\/(z\/(-2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2*-1)\/(4\/330). Let h = 233 + r. List the prime factors of h.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 139\/(-2) + (-6)\/(-4). Let x be -4*-3*z\/(-12). Let f be 2*1*(-4)\/x. Put 2, -0.1, f in ascending order.\nAnswer: f, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2001100 - -11?\nAnswer: 2001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 1\/2, 12.\nAnswer: -20, 1\/2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 9) in base 4?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13532 and -36?\nAnswer: 487152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 6*y**2 + 6*y - 4. Let n be u(4). Let s = 6 + n. Let c(i) = -2*i + 8 - i**2 - 2 - 2*i. Determine c(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -3, -2488, 77 in ascending order.\nAnswer: -2488, -3, -1, 3, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (776\/20)\/((-8)\/(-20)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 791 = -90*n + 18 - 757 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -8 - (-37 - -31).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51480615 to the nearest integer?\nAnswer: 7175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-516)\/3870 - 5\/25.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 - 13*c**2 + c + 5. Let g = -138 - -151. Calculate u(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122, -863, -2878, -6803, -13274, -22927?\nAnswer: -36398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p - 5. Let m be (-24)\/(-7)*-7*12\/4. Let u = m + 99. Suppose 0 = -5*t + 2*v + 2*v, 3*v + u = -3*t. What is d(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 82 + -570\/7. Let r(c) be the first derivative of 1\/7*c**2 - s*c + 2\/21*c**3 + 3. Factor r(w).\nAnswer: 2*(w - 1)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z - 691. Let d(a) = -56. Calculate 3*d(o) - n(o).\nAnswer: -3*o + 523","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10830 = -3*b + 2*n + 10811, -2*n - 17 = b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 1 = -k - 2*h, k - 5*h + 2 = 0. Let c(m) = -m**3 - m**2 - 4*m. Let j be c(-5). Suppose -k*n = 2*r - 2*n - j, 5*r - 293 = n. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 1839*r - 4202*r - 14 + 2351*r. Calculate k(-5).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.2060622481 - -19.91?\nAnswer: -27.2960622481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -395\nAnswer: -4\/395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 3*u + 197, -6*u + u - 165 = -4*r. Calculate the remainder when r is divided by 24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + 23 + -19 - (148 - 164)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 51\/85 - 197\/(-5). Let a = 15 - u. Sort a, 0, -4 in decreasing order.\nAnswer: 0, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 926 - 925.9999999711. Round b to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 4*p + 5. Let i be r(4). Suppose -2*a = -5*j + j - 16, i*j - 2*a = -20. Which is bigger: -2 or j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*d + 363 - 13323 = 0. What is the lowest common multiple of 240 and d?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162.55259 less than -241504?\nAnswer: -241666.55259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1373, 1371, 1367, 1361, 1353?\n\"Answer: -z**2 + z + 1373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + 40. Suppose -c*a = 4*a - 2596. What is the derivative of -263*x + a*x + 4 + 11 wrt x?\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1039.99231 to the nearest ten.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 1. Let a(k) be the second derivative of 7*k**3\/3 + k**2 + 4*k. Suppose p + h - 3 = 0, 25 = -92*p + 87*p + 5*h. Give p*a(c) + 2*q(c).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24567, 24573, 24581, 24591, 24603?\nAnswer: 24617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**2\/10 - 1719*d\/10 = 0.\nAnswer: -1719, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + -0.3. Let x = 5 - 5.3. Which is the nearest to -1? (a) u (b) 2\/7 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0.5 (b) 24\/5 (c) -5 (d) 12 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -0*v + 5*x + 11, -47 = 3*v - 4*x. Let r be (v + (-1)\/(-1))*1. Let h = -5 - r. Solve 3*d - 3*g = 0, h*d + 8 = -4*g + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 63.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (32 - 38) - (26 + -31).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 113*v**2 - 15431*v + 1736. What is g(-193)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 9398 = 3*s, -149*s = -150*s + 5*a + 3120. What is s rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6437, 6424, 6397, 6350, 6277, 6172, 6029?\n\"Answer: -o**3 - o**2 - 3*o + 6442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -21*s**5 + 69*s**4 - 18*s**3 - 84*s**2 + 24*s = 0.\nAnswer: -1, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + s - 1. Let o be h(2). Let k(q) = q + 5. Let r be k(o). Find b such that 0*b + r*b + 0*b**2 + 1 + b**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42.8 - 39. Let h = f + -6.8. Which is the third biggest value? (a) h (b) -1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (-20 + -66 - -33)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 208.308471 hours in weeks?\nAnswer: 1.239931375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 13917019 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n**3 - 18*n**2 - 32*n + 92. Calculate s(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55481 is divided by 62.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 20 + 115*z**2 - 13 + 28 - 33*z**2.\nAnswer: 82*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 7*z + 5. Let k(b) = -b**2 + 4*b + 2. Let q be k(4). Suppose -4*l - 2*d - 14 = 0, -q*l + d = -l + 2. Let m be ((-21)\/l - 2)\/(-1). What is t(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/5 - (-26)\/5. Let z(a) = a**3 - 15*a**2 - 18*a + 2. Let x be z(16). Let q be 12\/x - (-23)\/(-5). Sort 0, q, d.\nAnswer: q, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -5 - -17) + -2. Suppose -2*y + g - 10 = 5*g, -3*g = z. Solve q = -4*n + 1, 5*n = -3*q + 6 - y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 4.3?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - 4*v**2 - 2*v**2 + (v + 4*v - 3*v)*(3*v - v - 4*v) - 2*v**2 + 2*v**2 + 2*v**2 - 2*v**2 - 2*v + 2*v)*(-3*v**2 + 5*v**2 - 5*v**2).\nAnswer: 24*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16887 is divided by 2808?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (-32)\/(-6) - -2. Let a be 24\/32 - 482\/(-8). Suppose 2 = -62*n + a*n. Is n > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*i + 16*i - 3*i**2 - 37*i.\nAnswer: -3*i**2 - 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19602 - -31528. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - h = 5*w - 14, -10 = w - 3*h. Let j be w*(2 + (-5)\/2). Which is the nearest to 2\/5? (a) -4\/9 (b) j (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -7. Let c(s) = 4*s**2 - 10*s + 5. Let v be c(a). Solve 2*i + 3 = v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20431 (base 5) to base 8.\nAnswer: -2526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4736 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000348600211 rounded to 6 dps?\nAnswer: 0.000349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -720207, -720196, -720179, -720156, -720127, -720092, -720051?\n\"Answer: 3*y**2 + 2*y - 720212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u - 2*u**2 + 12*u - 7*u.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 less than or equal to -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 871455214 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3348 and 12412710.\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/33 or 0.02?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6920611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) + (sqrt(175) + 2 - sqrt(175))**2 + -5 + -2*(sqrt(175) + 1) + 3 + 1.\nAnswer: -5*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -9.444932 * 23\nAnswer: -217.233436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 3 - 18 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 2 (b) 0.3 (c) 0 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 23, 13, -19, -85, -197, -367, -607, -929?\n\"Answer: -2*z**3 + z**2 + z + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 289 - 289.0000384. Round v to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/7 in 2, 4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**5\/60 + y**4\/12 - 13*y**3\/6 + 708*y**2. Give j(5).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55168 to the power of 1\/2, to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -23104430 * -0.02\nAnswer: 462088.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25205224 divided by 293084.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 5*n + 74, n + 8 = -n. Let u be 1\/(-3) - (-438)\/m. Suppose p - 2*p = -u. Calculate the least common multiple of 2 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21\/116 - 741\/232. Find the common denominator of ((-2)\/4)\/(2\/(-136)) and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 + 230?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + 5*s**2 + 0*s**2)*(-3 + 6 + 1)*(6*s**2 - 3*s**2 + 8*s**2 + (2*s**2 - 3*s**2 + 0*s**2)*(0 - 1 - 6)).\nAnswer: 144*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 208?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1020*m + 1025*m + 5, -62060 = -3*i - 4*m. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -133832*p**3 - 16*p + 30938?\nAnswer: -802992*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 f when two letters picked without replacement from {c: 1, a: 3, n: 3, h: 3, e: 1, f: 3}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, 53, 67, 79, 89, 97, 103?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 218451 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5564548?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 138 + -138.2. Let o be (-8)\/(-1) - (-2 + 0). Let j be (1\/o)\/((-3)\/(-18)). Which is the nearest to 0? (a) j (b) z (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 5*n**2 + 6*n. Let g be l(-6). Suppose 38 = 4*t - a + 30, 3*a = 12. Solve -3*c + 6 + t = g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fym when three letters picked without replacement from wfyfffymofy?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 9 + 24 + -32?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 1\/60*b**6 + 5\/336*b**8 + 0*b**5 + 0 - 1\/30*b**7 + 0*b**4 + 0*b**3 + 2*b**2 + 0*b. Factor v(a).\nAnswer: a**3*(a - 1)*(5*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**4\/12 - q. Let d = 12 - 10. Suppose -6 = -2*x + 3*p, -4*p = d*x - 0*p - 6. Determine k(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/20 (b) -5 (c) 5 (d) 49 (e) 2218 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-3)\/(-21))\/(191\/(-10696))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 + 6894*q + 6895.\nAnswer: -(q - 6895)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212*z**4 + 25656*z**3 - 217148*z**2 + 336504*z - 6272 = 0. Calculate z.\nAnswer: 1\/53, 2, 7, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 0)*(3 - 3 - 2*b**3) + 2 - b**3 - 2 + 0*b**3 + b**3 + b**3 - 2 + 16*b - 16*b + 4*b**3 + (104 - 18*b**2 - 104)*(-1 + 1 + 2*b).\nAnswer: -29*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 756177677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 + (-29 - -95) + -21?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.18 + 4.08. Let w = n + 0.1. What is the second biggest value in -2\/43, w, -1\/12?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 804 and 10167786.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jso when three letters picked without replacement from ossojooojs.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 14a89 (base 13) to base 3\nAnswer: 1222201002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.10619um to millimeters.\nAnswer: 0.01510619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/(-130)*3\/2*(-18)\/27.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000468360475 rounded to seven decimal places?\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 147919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 - (7 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 92? (a) -3 (b) 3.9 (c) 4 (d) -1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 87*s**2 + 1738*s + 8704. Give o(-5).\nAnswer: 2189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -5*a + 17, -2*a - 2*r + 6 = -0*r. Suppose -2*z + a = -5. Let m = -1 + z. Put 1, 5, m in descending order.\nAnswer: 5, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -55*(-28)\/(-70)*1162\/2739.\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/34*2\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a gram in milligrams?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 4*v + 15. Suppose -v*s - 5*u = -585, 3*s + 5*u = 226 + 129. What are the prime factors of s?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1280945, -1280660, -1280375, -1280090, -1279805, -1279520?\n\"Answer: 285*g - 1281230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -56, -1 in decreasing order.\nAnswer: 3, -1, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40354891 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3711 + 672. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.5, -3, 1677?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 59910 by -4.\nAnswer: -29955\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28303 - 10239. What are the prime factors of w?\nAnswer: 2, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 0.7 (c) 128\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4*o + 50. Suppose o*w = 16*w - 1254. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**3 - 2*v**3 - 4 + 4*v**3 - 2*v**2 + v**3. Does 10 divide y(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 2)*(-5 - 8 - 18*c + 14) to the form t + o*c and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(4752) + (1*sqrt(4752) - sqrt(4752))*5))\/(sqrt(11) - sqrt(88)\/sqrt(2) - (sqrt(99) - sqrt(11))*-1).\nAnswer: 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 22023 (base 6) to base 7\nAnswer: 11601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7168 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (1\/(-5) - 2116\/20). Suppose w - 39 = -2*w. Calculate the highest common factor of o and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -1061*k + 44568. Determine z(42).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-3))\/((u*u*u\/u**(1\/2))\/u*u))\/(((u*u**(-2\/7)*u)\/u)\/(u*u**(-2\/19)))*((u**(-5\/2)\/u)\/u*u*u**(-5\/2)\/u)**(4\/11) assuming u is positive.\nAnswer: u**(-20087\/2926)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2328 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + sqrt(700) + 1 + -4)**2.\nAnswer: -120*sqrt(7) + 2809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 22496 - 44988 + 22492 + 1530*s. Let a(n) = n**2. Calculate h(a(d)).\nAnswer: 1530*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12534402*a**2 - 9*a - 417321 wrt a.\nAnswer: -25068804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*v = 6*v + 2*j - 4, 5*v = -2*j - 23 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*-57*34\/(-20349).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*s**(-1\/9)\/s*s))*s**(-2\/9))**(7\/13) assuming s is positive.\nAnswer: s**(14\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-2)*24\/1. Let r(p) = -p**3 - 13*p**2 - 10*p + 9. Let t be r(o). Does 19 divide (-291)\/(-15) + 6\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20\/(-3)*(-86572)\/460*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58645 is divided by 742.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21847676, -43695341, -65543004, -87390665?\n\"Answer: d**2 - 21847668*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u. Let n = -3 - -8. Let p(j) = -4*j - 3. Let w(s) = n*y(s) + p(s). Suppose -2*o - 16 = -4*l, 56*o = 52*o + 4*l - 16. Give w(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710175352 to the power of 1\/2, to the nearest integer?\nAnswer: 26649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 615, 2530, 8131, 19260, 37759, 65470, 104235?\n\"Answer: 307*s**3 + s**2 - 237*s + 544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9406 + 15283. Does 49 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -245*w + 240*w + 10, -z = -5*w - 32 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p. Let z(t) = t + 2. Let u be z(0). Suppose 2*y - 5*y = 0. Let n(o) = 7*o**u + 0 + 0 + y. Determine r(n(b)).\nAnswer: 14*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + 2\/(-6)*3. Let q be 1\/z - 7\/(-2). Solve -2*l = 4*j - 3 - 9, 0 = -q*l + 16 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 6. Solve 2 - u = 3*a - 2*t, -23 = a + 4*t for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence am when two letters picked without replacement from zaazzazzazmzz.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/(-4) - (-1)\/1. Let o(l) = -12*l - 36. Let c be o(-14). Let r = c + -108. Calculate the highest common divisor of r and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 62, 110, 178, 272, 398?\nAnswer: 562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyrcrnryyrc. What is prob of picking 1 y and 2 r?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 3333000 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1077?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000055034 to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/(-30) - (-220)\/(-24) - 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -s - 5, s = -90*r + 95*r - 11 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**4 - 3*i**4 + 3*i**4)*(-29 + 96 - 251)*(i + i - 3*i).\nAnswer: -368*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13125 divided by -25.\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -31*t - 5. What is the remainder when p(-6) is divided by 22 + 19 + 340\/17?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -1 + 7 + 13*s - 2. Let x be g(4). Calculate the greatest common divisor of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -48*n + 3. Let w be o(1). Let j = 62 + w. What is the highest common factor of 51 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2165 - -2165.1. Which is the nearest to m? (a) 0 (b) -0.1 (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11933*c**3 + 2*c**2 + 2281*c wrt c?\nAnswer: 71598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + s = 3*o - 24, -3*s = -3*o + 48. Let f be 3\/((-3)\/(-4)*12\/15). Suppose f = 4*q - 11. Solve q*y = -0*y + o for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -72320 to the nearest 1000.\nAnswer: -72000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 30591.9436 times 2\nAnswer: 61183.8872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 40*n**2 - 5. Let a(h) = -720*h - 3. Determine o(a(x)).\nAnswer: 20736000*x**2 + 172800*x + 355","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i**2 + 3*i + 3. Let l be z(-4). Calculate the highest common factor of l and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -199*d - 787. Suppose 0 = r - 2. Calculate the remainder when t(-4) is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {c: 1, j: 4, x: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k**3 - 10*k**2 + 2*k - 8. Let a be j(5). Let l(y) = 9*y - 7. Let r be l(a). Calculate the greatest common factor of r and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x + 1. Let p be l(-3). What is the highest common factor of p and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 22961*q**2 + 12. Let l(h) = -4*h. Calculate l(z(s)).\nAnswer: -91844*s**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 1\/3*w - 2\/3*w**2 + w**3.\nAnswer: w*(w - 1)*(3*w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 9*j - 111. Let d(q) = -3*q + 37. Let l(i) = -4*c(i) - 11*d(i). Let k(n) = -2*n + 19. Calculate 5*k(s) - 3*l(s).\nAnswer: -s - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18146 and 23977407.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 14*m**2 - m - 11. Let s be 28*(2\/(-8))\/((-6)\/(-12)). Let j be a(s). Solve 3*l + 2*l - 4 = -n, 12 = j*n + 2*l for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34818101 is divided by 665.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 115*v**3 - 7*v**2 - 126*v - 373. Give c(-3).\nAnswer: -3163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6253.\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7922 and 1007026?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -737, -2917, -6549, -11633, -18169, -26157?\n\"Answer: -726*l**2 - 2*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 28. What is the second biggest value in f, -1\/6, -8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 4, -4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 342484189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 16) in base 8?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 98*x + 671 + 113 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -109411 times 3.45?\nAnswer: -377467.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*p**2 + 2*p**2 - p**2 - 2*p + 2*p - 2*p**2 + (-p + 2*p + 0*p)*(1 - 2*p - 1) + 401 - 76*p**2 - 401 as w*p**2 + q*p + b and give w.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22553 and 414263?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1542894 times -4\nAnswer: 6171576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 39, 1, -1\/4, -0.13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 10*q**2 + 2*q - 15. Let l be k(10). Suppose 4*o + o - l = 0. Is o smaller than -2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 224 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 129934951 a multiple of 320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -cc1?\nAnswer: -cc5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -918 in 0.63, -7\/9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3157 and 100573?\nAnswer: 704011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -5 + (-1 - 8 - (-24 - -67))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.192353879 to four decimal places.\nAnswer: -0.1924","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15660 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 PM and 10:52 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 0.04 (c) 0.565\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**3\/6 + 5*o**2\/2 - 3*o. Let u be n(-7). Let z be (-8 - -9)*(-10)\/u. Put 3, 1, z in increasing order.\nAnswer: 1, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v. Let y(p) = -13*p - 43. Suppose -7 + 0 = -7*o. Let r(a) = o*y(a) + 5*w(a). Differentiate r(c) with respect to c.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*((-1)\/(-20))\/(1\/(-2))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l - 3*l + 0*l + (4 - 3 + 0)*(l - l + l) + 2*l + 0*l - 4*l + 13*l + 158*l + 244*l.\nAnswer: 416*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 5*t**2 - 3*t + 2. Suppose 4*z - 7*v + 17 = -2*v, -2*z + 14 = 2*v. Suppose 0 = c - 1 - 1. Let x be (-7 - -10)\/(z\/c). Calculate d(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cdccdcududc. Give prob of sequence ddd.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 271453 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 + -3 - (-3 - -2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 13 - (-2 + 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 814 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-411 - -349) + (-1 - -18)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12762\/15785 + -60\/77. Calculate the common denominator of -117\/10 and v.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 * -1.2039.\nAnswer: -21.6702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 891.4 + -891. What is the smallest value in s, 2\/9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0031732 rounded to five decimal places?\nAnswer: -0.00317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 350.3257ml?\nAnswer: 0.3503257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000021579 rounded to 7 decimal places?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 3 - 3 + (-1 + 3 + 0)*(w - 2*w - w) + (4*w + w - 3*w)*(3 - 1 - 3) + 3 - 3 - 3*w.\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -110010000 (base 2) to base 11\nAnswer: -334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.61950005 - -9.979491. Let i = 0.36 - x. What is i rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38 and 4?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.9493 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 580766 is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2\/10*180\/48\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6a894c (base 14) to base 8\nAnswer: -15673310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhqaa. Give prob of sequence qqqq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rbrskrgsrk. Give prob of sequence rs.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11365 (base 10) to base 14.\nAnswer: -41db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 - 354*k**2 - 1035*k.\nAnswer: -3*k*(k + 3)*(k + 115)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -y**4\/6 + 23*y. Let b(f) = 21*f. Give b(a(z)).\nAnswer: -42*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3205681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 57644*h*n - 33031*n wrt h?\nAnswer: 57644*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**4\/7 + 7296*f**3\/7 - 9182160*f**2\/7 + 4336675200*f\/7 - 442045188000\/7 = 0. Calculate f.\nAnswer: 138, 1170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -768*w - 77. Let u(v) = 3838*v + 386. Let q(n) = -11*h(n) - 2*u(n). Is q(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -l - 2*l + 5*j, 0 = -l + 3*j + 11. Suppose l*c - 7*c + 10 = 0. Suppose -4*i + 7*i - 12 = -3*g, -3*i - c*g = -12. Solve -p + i*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23.1 + -22.1. Let c = 733\/6 + -122. Put f, -0.2, c in descending order.\nAnswer: f, c, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 divided by -1?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1990, 4811, 7632, 10453, 13274, 16095?\n\"Answer: 2821*k - 831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18717?\nAnswer: 3, 17, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2 + 67\/34). Let c be 304\/(-9) + y\/(-153). Which is greater: -35 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 19*o = 33*o + 102 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(220))\/sqrt(10))\/sqrt(2))**2 + 5*sqrt(11)*-2*-2.\nAnswer: 11 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06 + 0.34. Let k = -4 - -4.03. Let i = k - 0.53. Which is the closest to 1? (a) -1\/3 (b) i (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*t**3\/11 + 104*t**2\/11 + 130*t\/11 + 36\/11 = 0. Calculate t.\nAnswer: -9, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 26 = 32 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from ttthtfshse?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274044*z = -273589*z - 14560 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 211, 373, 531, 685, 835, 981?\n\"Answer: -2*n**2 + 168*n + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 945 by -5.\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 342570 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 - -43. Suppose d = 3*r - 5 - 19. Let k be 2\/r*-2*0. Solve k = f + 3 - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -13*p**3 + 52*p**2 + 362*p + 37. Let u be i(-8). What is the highest common factor of 150 and u?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 5*l**2 - 8*l - 6. Let b be m(-6). Suppose -5*y = 14 + b. Let g = 10 + y. Solve 9 = -k - 4*p, 5*k - g*k = -4*p - 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (21\/14 + -1)*(1588 + (-4 - -2)). Solve -27*b - 604 + a = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697.3554 weeks in milliseconds?\nAnswer: 421760545920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 1. Let z = 4.4 - 5. Let h = 0.6 + z. Which is the closest to 1? (a) h (b) -0.5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 times -1966\nAnswer: -23592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/(-588))\/(10\/(-525)*9))\/(34\/238).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 4*z**2 - 2. Let c be x(-1). Find the second derivative of -17*d**c + 7*d**3 + 6*d**3 + 4*d**3 - 34*d**5 - 91*d wrt d.\nAnswer: -680*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -24.945, 4, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26418 and 9889138?\nAnswer: 8806","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1440*t + 1443*t - 4*c + 7 = 0, 4*t = 3*c - 14 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1232 = -52*w + 68*w. Calculate the remainder when 216 is divided by w.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*d - 5*d + 6*d**2 + d**4 - 4*d + 1 + 18*d in the form u + i*d**2 + h*d**4 + k*d + f*d**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -5648 + 1398. List the prime factors of v.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 520 + (-7 - 63)\/(-7) is divided by 67?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 10:44 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21660 + -11186. Does 33 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 523605125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1940*g**3 - 56*g**2 = 0. What is g?\nAnswer: -14\/485, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*a - 28*a - 56 = 0. Calculate the greatest common factor of 238 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 3*j - 21, 5*q = 4*j - 5 - 5. What is the remainder when 23 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*o + 5*i - 35, -o = 5*i. Let n be (18\/(-5))\/((-8)\/o). Find the second derivative of k - 4*k - 2*k - n*k + 9*k**3 wrt k.\nAnswer: 54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6527.8 - -6527. What is the smallest value in -2, -2\/9, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3108*b**2 + 299*b - 898. What is the ten thousands digit of c(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 7\/6, 1.\nAnswer: 2\/13, 1, 7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)\/((sqrt(7) - sqrt(343)) + sqrt(7)) + 2 - ((sqrt(5) + -1)*-5 + sqrt(5) + -4))*-1)**2.\nAnswer: 38*sqrt(5)\/5 + 366\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by 6.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -45*r**2. Let o(g) = 1131506*g. Determine o(f(w)).\nAnswer: -50917770*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) -3 (c) 1\/3 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 196, -12, 4, -1 in descending order.\nAnswer: 196, 4, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y**3 + 5*y + 4. Let q(s) = 12*s**3 + 16*s + 11. Calculate 11*i(z) - 4*q(z).\nAnswer: -4*z**3 - 9*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29925055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*-6 - 1188\/(-189). Which is the third biggest value? (a) 0.06 (b) -5 (c) y (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6738.632s?\nAnswer: 6738632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19447 + -5?\nAnswer: -19451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 33 = 2*w + 39, -3*w + 3*a - 27 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 1. Let d(o) = o + 4. Let z be d(-6). Let g be p(z). Is 39*(1 + g\/9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + -24 + -17 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*j - 61*j = 27324. Solve 9*u + j = 837 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3590 and 4?\nAnswer: 7180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 22*l**2 - 49*l - 21. Let h be v(-24). Determine p so that 4\/13*p**2 + 0 + 2\/13*p**h + 2\/13*p = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 + 52. Let u be (-6)\/f - (-34)\/(-56). Which is greater: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*k - 10*k - 9 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3646083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n**5 - 12*n**4 - 39*n**3 - 18*n**2 = 0. Calculate n.\nAnswer: -1, -2\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4852317 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -441*i*x**2 - 2326*i*x - 2*x**2 wrt x?\nAnswer: -882*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s - 2*s + 5*s + (3*s - 2 + 2)*(0 + 0 + 1))*(4 - 1 + 0) to the form p + l*s and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192)\/sqrt(4) + (0 + sqrt(48))**2 + 1 + 3.\nAnswer: 4*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 16) in base 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 268002 and 804006?\nAnswer: 804006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100011000100 + -1000110101110?\nAnswer: 1011100010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 63529919?\nAnswer: 63529917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 7:21 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3932026 smaller than 240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-1\/4))**(-17\/5))**24)**49 assuming w is positive.\nAnswer: w**(4998\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 1:49 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 - 1 - (11 - 9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 6183 + 18171 = 0. Is h a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 u when two letters picked without replacement from yfyffzyyfuffyffz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a microgram in nanograms?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 88516012.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n + 1. Let u(d) = -6*d + 2. Let k = -244 + 257. Calculate k*j(s) - 6*u(s).\nAnswer: -3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 12 = -3*y. Suppose -c - 5 = b, -c + b - 1 = -0*b. Let d = y + c. Solve r - d*w - 13 = 0, 0*r + w = -r - 7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 152, 605, 1362, 2423, 3788?\n\"Answer: 152*y**2 - 3*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 616244613 to the power of 1\/2, to the nearest integer?\nAnswer: 24824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.49 + 0.5. Let z = m - 0.11. Suppose 3 - 6 = 3*u, -3*c = 3*u. What is the biggest value in c, z, 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkafkfaaa. What is prob of sequence kfa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 24232997.\nAnswer: -3\/24232997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24535 - -1864609\/76. Let k = 11059 + -66449\/6. Calculate the common denominator of v and k.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3283741?\nAnswer: 97, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 471*p - 440*p - 4*d - 256 = 0, -3*d - 46 = -9*p + 4*p for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3412?\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.07 + -0.09. Let q = u + -0.78. Let x = -2.2 + q. Which is the third smallest value? (a) -0.1 (b) 1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 5713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 331*s**2 - 2097*s - 462. Give p(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(67\/(-33) - -2). Let o be q + (3 - 6) + 2. Calculate the highest common divisor of 4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -4. Let n(b) = b**3 - 5*b**2 + 2*b - 2. Let t(s) = s - 1. Let w(j) = -n(j) + 3*t(j). Let o be w(g). Solve -16 - o = 4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -5 (b) -1.3 (c) 0.2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -8*t - 11. Suppose 74*a + 66 = -8. Let p(n) be the second derivative of -n**2\/2 - 2*n. Let v(r) = a*d(r) - 2*p(r). Differentiate v(i) wrt i.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 + h**3 + 2*h**5 - 19 + 19 - 3*h**5 + (3*h**3 - 6*h**3 + 5*h**3)*(-6*h**2 + 5*h**2 + 0*h**2) + 12195*h**4 + 333*h**5 - 12195*h**4.\nAnswer: 330*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 1326, -10 in ascending order.\nAnswer: -10, 40, 1326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 equal to -7\/5139773?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 31, 56, 77, 94, 107?\n\"Answer: -2*q**2 + 31*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 169864 and 15691187.\nAnswer: 125529496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -20211 (base 3) to base 4\nAnswer: -2320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + 19 + (-10 - 54).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v + 13*v - 35 = -3*q, 4*q = -4*v for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of -h**7\/315 - h**6\/36 - 7*h**5\/90 - h**4\/12 - 58*h**2. Suppose x(r) = 0. What is r?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5363\/210 - -4\/105. Calculate the common denominator of -25\/6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12227, 12385, 12807, 13625, 14971, 16977, 19775?\nAnswer: 23497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**11\/q)\/q**2*(q**2)**(1\/61))**(-1\/6) assuming q is positive.\nAnswer: q**(-245\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 7*j + 8. Let t be o(5). Solve -q + c = q + 6, 4*q + c = -t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000341775 to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1912 divided by 8\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/25)\/p)\/(p*p**(-2)\/p))**41 assuming p is positive.\nAnswer: p**(943\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-2\/5))\/(p\/(p*p**(-14)))*(p**10\/p)**(-6\/5) assuming p is positive.\nAnswer: p**(-117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + 0.3. Let g = 24.98 + -29. Let r = 0.02 + g. Which is the nearest to -0.2? (a) r (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/2 - (0 - 2). Let j = -150 - -181. Suppose -3*q + j = -x. Calculate the highest common divisor of q and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 w when three letters picked without replacement from {q: 1, a: 1, j: 1, w: 1, v: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.12 + -2.12. Which is the nearest to j? (a) -3 (b) 0.5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k + k + 0*k + 0*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 53953731 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q + 4. Let a(f) = -f + 5. Let r(i) = -6*a(i) + 5*o(i). Let k be (2 - (-7)\/4)*4. Let s be r(k). Let d(p) = p + 6. What is d(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 4*j - 37, -25*t - 5*j = -23*t - 25. Solve -52 = -8*c - t*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12143 + 24101?\nAnswer: 41244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -10. Let s(f) = -f + 9. Let v be s(0). What is the highest common factor of w and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3244 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 8 = -32. Calculate the remainder when 2\/(-5) - 314\/z is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.89 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 9 = -0*t - n, -4*t - 2*n - 2 = 0. What is the second derivative of 2*c**3 - 5*c - c**3 + 4*c + t*c wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 118 - 123. Let t = -0.03 + -0.97. Let g = 79 - 235\/3. What is the closest to t in g, 1\/8, a?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -i - 4*o - 9, o = 2*i + 43. Let p = i + 43. What is the units digit of ((-18)\/p)\/((-1)\/48)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2226114412 to the nearest integer?\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*o**6 - 6*o**5 + o**2 + 11*o wrt o.\nAnswer: 1320*o**3 - 360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 12:02 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2486\/420)\/11 - 27\/54. Which is greater: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 3 + (-2)\/(-1). Let y be (-12 - q)*(-1)\/(-2). Let r be 27 - ((-2)\/y - 6\/(-8)). Calculate the greatest common divisor of r and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -289489*h**4 - 167*h + 547 wrt h?\nAnswer: -3473868*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 5, 0.2, 180, -217 in descending order.\nAnswer: 180, 5, 0.2, -0.03, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 13.24, 1.1, 3?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.771797 millilitres to litres.\nAnswer: 0.008771797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ix when two letters picked without replacement from iiixxixiiiiiiii.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - k = -7, -3*k + 76 = -4*a + 70 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*r**2 + 4*r**2 + 3*r**2)*(31810 - 31810 - 41682*r**2) as a*r**4 + t*r + d*r**3 + y*r**2 + z and give a.\nAnswer: -41682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.53554 rounded to 3 dps?\nAnswer: 0.536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518138 is divided by 6396.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -14091 > -14093?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2835) + -6*sqrt(2835) - sqrt(2835))\/(sqrt(495)\/sqrt(11)).\nAnswer: -18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 173*t**2 + 1450*t + 15. Determine q(-7).\nAnswer: -1658","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of i**6\/120 - 13*i**5\/60 + 7*i**4\/12 - 11*i**3\/3 - 13*i**2. Let m be c(12). Solve b + 8 = -4*k + 3*b, m*k - 2*b + 4 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from {o: 5, i: 5, j: 2, r: 5}.\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5006*b = -4793*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**3 + 27*l**2 - 28*l + 550. What is n(15)?\nAnswer: -545","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8023107 to the nearest integer?\nAnswer: 2833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36176 and 8806.\nAnswer: 1338512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2282.60592us in weeks?\nAnswer: 0.00000000377415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*q**2 - 19*q**4 - 98 + 98 wrt q?\nAnswer: -456*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1295\/2072)\/(50\/(-8))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -16*p**2 + 10. Let r be o(0). What is the third biggest value in -2, r, -7, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x - 12. What is the lowest common multiple of 6 and h(7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1255.6665*-0.3\nAnswer: 376.69995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*l - 95*l - 1235 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 4:25 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**20\/g)\/g**(-30)*g**(-3\/10)*g**22 assuming g is positive.\nAnswer: g**(707\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3000552*r**3 - 11176901*r**2.\nAnswer: 18003312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 706 divide 131572984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 25560010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of k**4\/4 + k**3\/3 - k - 3. Let a be q(2). Is 273\/11 + 2\/a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2316 divided by 3.\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/2)\/(-1 - -3). Suppose 3*v - v - 50 = p. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 244\/16 - (27\/12 + -3). Let k = b + 32. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 889911 is divided by 1188?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**2 - v + 2. Let y be p(1). Let w be (y\/10)\/((-40)\/(-25)). Factor 0*t + 1\/4 - w*t**2.\nAnswer: -(t - 1)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21170*s**3*u**3 - 15*s**3*u - 14*s**3 - 6*s**2*u**2 wrt u?\nAnswer: 127020*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*j + 69*j**4 - 48*j)*(-2 + 0 - 1).\nAnswer: -207*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 290 - 75. What are the prime factors of d?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 4 - -4) + (3 - (5 - -7))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -105066 + 1557?\nAnswer: -103307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160653232.\nAnswer: 2, 10040827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24208, -24207, -24198, -24175, -24132, -24063, -23962?\nAnswer: -23823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1245*r**2 - 110082*r + 110082*r.\nAnswer: -1245*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**5\/80 + j**4\/4 + 176*j**2. Suppose i(p) = 0. What is p?\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d = -4*z - 2*d + 7, 4*z - 9 = 3*d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -5*o. Let f = o - -24. Suppose -f = -5*a + p, p + 2 = 3*p. Solve 0 = 4*g - y + 19, -y - a = 3*g - g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.04, -2, -0.17, 0.4, 0.02.\nAnswer: -2, -0.17, -0.04, 0.02, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 4 (c) -6 (d) -1\/4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -4 - 720\/48.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2028, -7, -9 in descending order.\nAnswer: 5\/2028, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from loozlldovldloll. What is prob of sequence ldvd?\nAnswer: 1\/2340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/5 - 64\/10. Suppose 0 = -2*t + 5*x - 14, -7*x = -6*x + 2. Let u = k - t. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -17*o**5\/10 - 5*o**4\/6 + 5*o**3\/6 + o. Find the third derivative of v(r) wrt r.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 2 = 3*b, -v = -2*b - 6 - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 8:44 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30271 - -30271.000014779. Round t to seven dps.\nAnswer: 0.0000148","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 688014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4\/a**0)**(-22) assuming a is positive.\nAnswer: a**(-88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*t = 111, 146 + 7 = -5*o - t. Is ((-3683)\/6 - (-5)\/o)\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51514.\nAnswer: 2, 43, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -l**5\/20 - l**4\/12 + l**3\/6 + 77*l**2 + 6*l. What is the units digit of c(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 4*h + 13 = 0, 2 = 2*h + 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 101*b**2 - 1716*b - 10. Give g(17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-4) + (0 - -1). Let a(f) = -c + 2*f**2 + 2 + 1 - 1 + 4*f. Is 14 a factor of a(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84962610 divided by -9?\nAnswer: 9440290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*3\/((-1)\/1). Let w be 3\/1 + 2 + (n - -2). Suppose f + w*b - 300 = -49, 3*b = -6. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450*q + 10074 = 24474. Suppose -i = 2*i - 183. What is the remainder when i is divided by q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -145169250 rounded to the nearest 10000?\nAnswer: -145170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-0.35.\nAnswer: 0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -1. Let q be 8\/36*3 + 3\/9. Let r(h) = -h - 1. Let l(g) = q*r(g) - 2*x(g). Let o(p) = 4*p - 5. What is 26*l(w) + 6*o(w)?\nAnswer: -2*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*l**3 - l**3 + 9*l**3 + 15*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 6*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -4342?\nAnswer: -5\/2171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1327250316 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 14994?\nAnswer: -14992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3264?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12533051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -531*i + 2655. Let t be y(5). Suppose 3*m = 2*m + 3. Suppose -m*v + p = -3, 2*v + 2*p + 6 = -v. Solve t = -3*g + a + 1, 4*g - 2*a = v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 129883 = -3*t, -150*s + 5*t = -152*s + 64959. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 1170*q**2. Let d(y) = 1926*y**2. What is h(d(g))?\nAnswer: 4340086920*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*v**5 - 2*v**4 + 837*v**3 + 94881*v**2.\nAnswer: 180*v**2 - 48*v + 5022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120 + 20?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 53.88679662 to two decimal places.\nAnswer: 53.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvu when four letters picked without replacement from vvvuuvvvvu.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.03 + 5. Let t = d - -0.43. Let y = -5 - -1. What is the closest to 1 in 3, t, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c**2 + 2*c - 2*c)*(-4*c + 2*c + 3*c) - 188*c**3 + 571*c**3 + 378*c**3 to the form d*c + b + v*c**3 + i*c**2 and give v.\nAnswer: 762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 32517 to the power of 1\/2, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.21 + 0.498. Round h to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4116073403?\nAnswer: 13, 4903, 64577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6278259945?\nAnswer: 3, 5, 418550663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -5 + (1 + -9 - -5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + 0)*(0 + 1). Differentiate x + 1 + 5*f - 5*f - 2*f**4 wrt f.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - 68\/18) + (-827992)\/(-36). Round h to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67396912 + 3*t**2 - 5*t**2 - 67396981 + 15*t**2.\nAnswer: 13*t**2 - 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/3)*o*o)**(1\/5)\/(o**(2\/7)*(o*o*o*(o*(o*o*o*o**7*o)\/o)\/o)\/o))**(3\/17) assuming o is positive.\nAnswer: o**(-73\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*a**2 - 129*a**2 - 110 + 110 - 87*a**2.\nAnswer: -254*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in 58, -0.2, -0.1, 1\/2?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(3\/12*10) - 0. Which is the biggest value? (a) 5 (b) j (c) 1.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - k - 23, -k + 5*k = -20 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.5, 3.8, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 996.6 + 0.1.\nAnswer: 996.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millennium in decades?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 39629, 79257, 118885?\n\"Answer: 39628*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*p**3*z**3 - 86*p**3*z**2 + 2*p**3*z + p**2*z**2 - p*z**3 wrt z?\nAnswer: 126*p**3 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, j: 1, a: 1}. Give prob of picking 1 k and 1 a.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 28*z + 15. Let c be j(-19). Suppose -5*t + c = 26*t. What is the greatest common divisor of 12 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3036 is divided by 45?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u - 1. Let b(y) = -18*y - 37. Let c(g) = b(g) - 3*z(g). Let t be c(-11). Suppose -4*x + t = -39. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 33*x**2 + 238*x - 62. Give u(-18).\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5\/7 - 6*q**4\/7 - 12*q**3\/7 - 10*q**2\/7 - 3*q\/7.\nAnswer: -q*(q + 1)**3*(q + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-15) + 1808\/60. Let y = h - 17. Let t = y + -10. Solve 3*v + t*l = 5 + 7, -5*v - 12 = -3*l for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000000101000100 (base 2) to base 14\nAnswer: c0ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 444\/(-60) + (-4)\/(-10). Let b(h) = -10*h**6 - 2*h**2. Let x(j) = 21*j**6 + 4*j**2. Let v(n) = w*b(n) - 3*x(n). Find the third derivative of v(m) wrt m.\nAnswer: 840*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -7*u + 7. Let r(b) = 5*b - 53. Let k be r(11). Suppose 0 = -5*w + 4*v + 18, 2*w - k*v = 5*w - 24. Give s(w).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 316, -1389 in decreasing order.\nAnswer: 316, 4, -1389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 349 - 238. Let b = -117 + k. Let h = 0.2 - 0.1. Which is smaller: h or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*k - 13 = -3*w, -2*w + 2*k + 8 = 0. Suppose 2*t + 3*x = 5*t - 21, x = -w*t + 5. Suppose -l - 2 = l, t*l = -4*a + 7130. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, w: 1, n: 2, f: 4, o: 1}. Give prob of picking 1 o, 1 f, and 2 n.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6934, -13858, -20780, -27700?\nAnswer: -34618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -360943*o**2 + 2*o + 471336.\nAnswer: -721886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lee when three letters picked without replacement from eeala.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 610187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 55 = -30*g - 0*i - 160, 0 = -17*g + 22*g + 3*i + 52 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**3 - a**2 + 230*a - 11. What is x(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 22\/45, 25\/4, -3, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/12*3)\/((26\/8)\/13)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -75, -143, -213, -285, -359?\n\"Answer: -l**2 - 65*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -9*q**2 - 6. Let c(x) = 10*x**2 + 7. Suppose r = -8 + 2. Let m(a) = r*c(a) - 7*b(a). What is the lowest common multiple of m(-1) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120786035 and 40.\nAnswer: 966288280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1522030 (base 6) in base 13?\nAnswer: -31419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41 and 24613079.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9450 - 9426. Solve -d = -10*c - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.050678 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 0 - 3\/2*h**3 - 1\/2*h**4 - 3\/2*h**2 - 1\/2*h = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6567*j**2 - 3227 + 3227.\nAnswer: -6567*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -168.\nAnswer: -5\/168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 11\/14 (b) -2 (c) 4 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*b + 50*b - 84*b - 1174200. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 152. What is f(0)?\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1879 is divided by 327?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 192520 rounded to the nearest one thousand?\nAnswer: 193000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8885\/72 - -975\/8. Calculate the common denominator of -59\/63 and f.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of 0*p**2 + p + 0*p**3 + 9\/20*p**5 + 0 - 1\/3*p**4. Find the third derivative of n(y) wrt y.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -545662.46 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*a**2 - 6*a**2 - 21*a**3 + 7 + 46*a**3 - 27*a**3 as o + s*a**2 + i*a + f*a**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 16 = -2*x, -2*r + 5*x = 2*x - 16 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(297)\/(sqrt(11) + -2*-2*sqrt(11)))\/((sqrt(324)*-1 - sqrt(324))*-6).\nAnswer: sqrt(3)\/360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/35*(-14)\/8*126\/(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4 - 78364*r**3 + 2430888*r**2 - 12469284*r + 17645850 = 0.\nAnswer: -39213, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**2*s**3 - l**2*s**2 + 3*l*s**4 + 4*l*s**2 - 41*s**4 - 73*s wrt s.\nAnswer: 6*l**2 + 72*l*s - 984*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.7 - -4.2. Which is the closest to -0.1? (a) n (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) -3 (b) -0.7 (c) 38\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12, -7, 12, 51, 116, 213, 348, 527?\n\"Answer: c**3 + c**2 - 5*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -37. Let p be 1\/(-2) + u\/4. Suppose -b = m - 22, m + p*m = b + 98. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -3*q**3 + 15*q**2 + 11*q + 3. Let b(v) = -2*v**3 + 8*v**2 + 6*v + 1. Let c(m) = 5*b(m) - 3*d(m). What is c(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -b**2\/2 - 7*b - 99. Let i(f) = -f**3 - 2*f**2 + f + 2. Let d be i(-2). Determine a(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t - 25. Give p(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 2102 = 652. Let l = 509 + g. Calculate the highest common divisor of 125 and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i + 14. Let o(z) = -7*z - 15. Let h(x) = -5*o(x) - 6*w(x). Let m be h(-15). Let p(a) = m*a - 8*a + 0*a. Let j(b) = b**2. What is p(j(d))?\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -655656?\nAnswer: 655657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 6*n + 5*n = 24, 0 = u + n + 9. Let l be 17\/u + 4\/10. Let q be (l - -2) + 5\/7. Which is the second biggest value? (a) q (b) 3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44 + 31 - 37)*(-2*y + y + 4*y).\nAnswer: -150*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -20*y**5 + 29*y**4. Let k(h) = 4*h**5 - 6*h**4. Suppose r = 3 - 1. Let l(s) = r*d(s) + 11*k(s). Suppose l(m) = 0. Calculate m.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96644133?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 38886*s - 583054. Calculate o(15).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2872384 a multiple of 683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -12\/5*h + 18\/5*h**2 + 2\/5 - 8\/5*h**3 = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (0 + -4 - -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 484\/(-88)*(-216)\/(-66).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010111 (base 2) in base 3?\nAnswer: 10020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 2*t**2 + t**3 + t**3 + 5 - 6 + 2*t**4 to p*t**2 + s*t + l*t**3 + x*t**4 + n and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 = 94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 9:20 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = a + 4*f, 3*a + 5*f - 47 = -10. Suppose a = v + 2*v. Let q(t) = -2*t - v*t + 2*t + t. Let g(j) = 2*j**2. What is g(q(c))?\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 75*f + 12 + f**3 + 2 - 7*f**2 - 81*f. What are the prime factors of a(8)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-9\/4))\/p*p)**(13\/5))**(-5\/4) assuming p is positive.\nAnswer: p**(65\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*l**3 + 50*l**3 - 17*l**3.\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168*z - 60*z + 69*z + 2386908 = 0. Does 108 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a1a - -5?\nAnswer: -a15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-55)\/(-10) - (-2)\/4. Calculate the common denominator of (-2)\/44 + 125000\/(-8800) and (-74)\/d*2\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + x + 0*x - 227 = 0, -3*n = 3*x - 141. Let r = 62 - n. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -405 - -405. What are the prime factors of -3*(-38 + r)*(-189)\/(-42)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -60.16523 and 0.4.\nAnswer: -24.066092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001000 + 1001100011110100000?\nAnswer: 1001100100000101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*p + 541 = 361 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 137 or 483128?\nAnswer: 137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2727 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-112)\/14)\/(-1 + -1). What is the derivative of k + 6*s**4 - 9 + 1 wrt s?\nAnswer: 24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25705302 by 14.\nAnswer: -1836093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4140243*q**4 + 4885688*q?\nAnswer: 49682916*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -22, -54, -114, -208, -342, -522?\n\"Answer: -b**3 - 8*b**2 - b - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.5288134 to two dps.\nAnswer: 1.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i**2 - 63*i - 71. Let l be u(-14). Solve 141*c + l = 132*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -684988.2 rounded to the nearest ten thousand?\nAnswer: -680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1087885*c*g*s**3 - 3*g*s**3 + 206*g*s + 3*s wrt c?\nAnswer: -1087885*g*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**5 + i**5 + 0*i**5 + (-3*i**3 + 15 - 15)*(0*i**2 - i**2 + 7*i**2).\nAnswer: -16*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 - 3)\/((-20)\/510) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 4, 1\/19, 0, -11, 1.6, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -12 + 3*r**3 + 0*r + 12\/5*r**5 + 0*r**4 + 0*r**2. What is the third derivative of z(g) wrt g?\nAnswer: 288*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4658 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 4 - 7 + 7*p)*(-2 + 0*p + 0 + p)*(-4 + 4 - 2) to the form q*p + d + j*p**2 and give q.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**2 - p**2 + p**2 + (8*p - 6*p + 0*p)*(-2 - 3*p + 2) + 0*p + 0*p + p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 214258 in -5, 5, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h*k**4 + 187*h*k**2 - h + 105*k + 1 wrt k?\nAnswer: -24*h*k**2 + 374*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 61 + (5 - (-6 - -5)) - (0 - (-11 + -1))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 3*y - 23. Let p be g(-6). Calculate the greatest common divisor of 62 and p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/12 and 73\/1710.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**3\/9 + 729721*d**2\/9 + 3697876370*d + 924464025 = 0. Calculate d.\nAnswer: -91215, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2076*y = 2078*y + 4*m + 14, 3*m = 9 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 4, -188, 122 in descending order.\nAnswer: 122, 4, 3, -2, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2945.99999349 + -2946. What is d rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 13*n - 65. Suppose 4*p = -248 + 36. Let a = 76 + p. Calculate the remainder when a is divided by m(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -9877*j. Let r(y) = 4*y. Determine r(n(d)).\nAnswer: -39508*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/7, 1\/2, -2\/5, -1\/971?\nAnswer: -1\/971","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2426952236 to the nearest integer?\nAnswer: 1344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1123 + -0.0123. Which is the closest to w? (a) -4 (b) -1\/6 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 3*z**4\/32 + 7*z**3\/8 - 3*z**2\/2 - 3. Factor k(h).\nAnswer: 3*h*(h - 1)*(h + 8)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 986 and 232.\nAnswer: 3944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-8 + 5 + (5 - -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4240449\/4 != -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 9) + -31 + (3 - -14).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + 3 + -9 + 2. What is the remainder when 33\/2 + z\/6 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -2\/15*m**3 + 0*m**2 + 4\/25*m**5 + 0*m + 7\/20*m**4 - 3. Factor s(a).\nAnswer: a**2*(a + 2)*(4*a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 11*k**2 - 12*k + 3. Let a be (8\/16)\/((-2)\/(-48)). Let m be v(a). Suppose 2*l = m*l + 38. Round l to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 4*z + 11, -2*z - 13 = -5*t + 14. Let j(h) = 5*h - 20. Let f be j(t). Determine m so that -4*m - f + 16 - 3 - 5*m + m**2 = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 50\/3377 or 0?\nAnswer: 50\/3377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 378035\/98 + 1\/2. What is the greatest common factor of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 11:29 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -231 or 58805?\nAnswer: -231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/19, 1, 0.4 in increasing order.\nAnswer: -4, 2\/19, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -i**5\/30 + i**3\/2 + i**2 - 4. Let j(l) be the second derivative of q(l). What is the first derivative of j(t) wrt t?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.371 + 3.971. Is -3 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**3 + 42*g**2 + 294*g + 686 = 0. Calculate g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -663 + 1066. Let q = 478 + p. What is the remainder when 224 is divided by q?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 11*w**3\/3 - 5*w**2\/2 + 5*w - 268. Let p(n) = 16*n**2 - 8*n + 8. Give -8*o(f) + 5*p(f).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 186*y + 1552. Let w be n(-8). Solve w = 4*j - 24, -27 = q + 2*q - 4*j for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 + 11 + 62 - j**2 - 126*j - 94 to the form l + u*j**2 + t*j and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3)*u**(-6)*u*u*u*u**(3\/4)*u*u**4)\/(((u*u\/(u\/(u**0*u)*u))\/u*u)**(-7\/5)*(u**(-4)*u)\/u**(-4\/3)) assuming u is positive.\nAnswer: u**(169\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -24, 7, 52, 111?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186 + 2 = -94*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**2 + 3*t**2 - 3 + 3*t**2 - 2*t**2 in the form v*t + q*t**2 + i and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**11*v*v*v*v**23*((v\/((v\/(v\/(v\/((v\/(v*v*v**(1\/3)))\/v)))*v*v)\/v))\/v)**(-16))**12 assuming v is positive.\nAnswer: v**1276","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13430 and 198900.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 271.93 to the nearest integer.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 - 4*z**2 + 486 - 486 + 4*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 619 minutes after 6:10 PM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 787 + -281. Factor -7*n + 952*n**3 + f*n**3 + 2 - 46*n - 53*n + 1359*n**2 - 9*n**2.\nAnswer: 2*(n + 1)*(27*n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 + 4 - -214 - -3.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -c**5\/270 - 2*c**4\/27 - 16*c**3\/27 - 6*c**2 + 3*c. Let x(k) be the first derivative of v(k). Factor x(j).\nAnswer: -2*(j + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 12*f**2 - f + 2. What is the remainder when a(3) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*v = -198*v - 20. Differentiate -5*j - 8*j**v - 8*j - 87 + 17*j - 6*j wrt j.\nAnswer: -32*j**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 67*n + 571. What is the remainder when j(-7) is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -i - 1, i - 15 = -2*i - 3*l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 10*s**2 + 9*s. Let i be x(7). Suppose -i = -2*h - 4*h. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149828?\nAnswer: 2, 7, 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.9 - 2. Let o be (9*(-24)\/(-756))\/((-4)\/(-7)). Which is the nearest to o? (a) -4 (b) -2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*g**2 + 0 + 12\/5*g.\nAnswer: 2*g*(g + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 - -1390\nAnswer: 1399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 5, -6, 345, 3 in descending order.\nAnswer: 345, 9, 5, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 3*x + 1. Let w(s) = s**2 + 40*s + 15. Let v(z) = 3*g(z) + w(z). What is the tens digit of v(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, -327, -481, -631, -777, -919, -1057?\nAnswer: -1191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*l + 0*l - l + (0*l + l + 0*l)*(-4 + 2 + 5) - 3*l + 21 - 21.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1727282 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 14*f**2 + 19*f + 63. Let c be p(-15). What is the third derivative of 39*q**3 + 12*q**3 + 48*q**c - 81*q - q**2 wrt q?\nAnswer: 594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 = 5*n + 212. Let l be (2 - 11\/4)*-4. Differentiate -14*h**3 + 4 + 4 + n*h**l wrt h.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(3) - sqrt(243)\/sqrt(9)) + sqrt(3) - (3 + (sqrt(3) - sqrt(12)\/sqrt(4))**2)) + 3)*-6.\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.15, 3, -4, -0.2 in decreasing order.\nAnswer: 3, 2.15, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28450 and 313075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -488 in 0, 4, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4300 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = -7*f - 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 4) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -411011 + -50000?\nAnswer: -501011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43170*p**2*r**2 - 11*p*r**2 - 414*p*r + r**2 - 1 wrt p.\nAnswer: -86340*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 252\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 302561052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3626 + -1.01692?\nAnswer: -3627.01692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 32 = -11*l + 6*l, j = -2*l - 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 2*j**2 + 0*j**5 + 0*j - 1\/112*j**8 + 0*j**3 - 1\/8*j**4 + 0*j**6 + 0*j**7 + 0. Find the second derivative of p(t) wrt t.\nAnswer: -60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22, -17, 28, 131, 310, 583, 968, 1483?\n\"Answer: 3*p**3 + 2*p**2 - 22*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1050, 1024, 976, 894, 766, 580, 324, -14?\n\"Answer: -2*o**3 + o**2 - 15*o + 1066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-4)*(-300)\/(-206 - -131)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 41 + o**2 - 11*o - 17 - 20. Determine h(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 d when four letters picked without replacement from dddhddhddddd?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 4:21 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 - (1 + (-10)\/16)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10012 - -200?\nAnswer: -2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*h + 397835 + 102654 + 487411 = 0. Does 50 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - -31. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(2146*z + 39*z**4 - 2146*z).\nAnswer: 78*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/9 + 14*l**3\/9 + 20*l**2\/9 - 32*l\/9.\nAnswer: -2*l*(l - 8)*(l - 1)*(l + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(3200)*2 - sqrt(3200)) + sqrt(3200))\/((sqrt(1960)*2)\/sqrt(4)).\nAnswer: -20*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/10*(-150)\/(-20)*-8. Let l = 31 + r. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qs when two letters picked without replacement from {c: 1, s: 1, q: 2, t: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5855719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*q - 7 + 9 + 0)*(-2*q**3 + 3*q**3 - 2*q**3).\nAnswer: -44*q**4 - 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 - v - 2. Let u be q(2). Suppose 2*g - 15 = -3*g, u*g - 14 = -2*p. Solve 0 = 3*t - p - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -11 - (23 + -2 - (-92 + 111)) - -84.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14199?\nAnswer: 3, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -1, 2.1, 0.42, 3\/4, 188?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2636907 divided by 21?\nAnswer: 125567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3553675 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 8:27 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or -0.276?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -559, -15, 52?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 38 - 19 - 2150*c - 10 to p + b*c and give b.\nAnswer: -2150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5176962)\/(-5292))\/(-181) - 40\/28.\nAnswer: -41\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*1*244\/4. Suppose 0 = 5*h - 2*g - 578, -h + 2*g = -30 - 84. Let u = x + h. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/6*(-441)\/(-147)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 4*c - 160, -5*c + 147 = -4*o + 28. Let b be (o\/30)\/(2\/(-5)) - 3000003. What is b rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 204 - 128. Let c be 4 + (1 - (-265)\/5). Let v = s - c. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - 13*s + 4. Let i(p) = p**2 - p + 1. Give 3*i(w) - n(w).\nAnswer: 2*w**2 + 10*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26799247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/4)\/c*c**(-3\/11))**(-26)*(((c**(-3\/4)*c*c)\/c)\/(c**(6\/11)*c))**(4\/15) assuming c is positive.\nAnswer: c**(2887\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3242 - -104?\nAnswer: 3401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 279 + -191. Let i = j - 90. Let u be (i\/3)\/((-178)\/9). Which is bigger: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -2. Suppose -8 = -x*i - 2*i. Factor -2*h**2 - 3*h**2 + 6*h**2 - 2*h**3 + h**i.\nAnswer: h**2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 a factor of 1218860720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - j + 161 = -v, -140 = -4*v + 2*j. Is 21 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2473097664?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.1 - -1. Let r be (-2)\/8 - (-100)\/272. Suppose 2*n - 2*w + 6 = 0, -42 = -2*n - 5*w - 13. Which is the nearest to h? (a) n (b) r (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9117692 days to hours.\nAnswer: 21.8824608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 139*u - 2. Let h(n) = -8*n**2 - 519*n. Determine o(h(d)).\nAnswer: -1112*d**2 - 72141*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -204 - -685. What is the highest common divisor of o and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58891.56cm to meters.\nAnswer: 588.9156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 67, -0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -3102?\nAnswer: 3033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.09 - 0.08. Let i = m + 0.09. Let a = -157\/88 + 21\/11. What is the closest to i in -0.3, a, 3\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 206 - 5?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -4.15 (b) 1\/2 (c) 0.4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -0*v - 4*v + 31, -v + 1 = -m. Let z(t) = -2*t - 4. Let q be z(-7). Let h(o) = o + 7. Let i be h(-5). Solve i + q = -m*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 3678856.\nAnswer: 5\/3678856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -9 + 1 + (9 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6736 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 823103247?\nAnswer: 3, 274367749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**2 - w**2 + 13*w**2)*((-4 + 1 + 1)*(1 - 4 + 5) - 1 + 2 + 1 + (-5 + 3 + 0)*(0 + 1 + 0) + (-16 + 66 - 6)*(3 + 0 - 1)).\nAnswer: 588*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(((u\/u**(30\/11))\/u)\/u))\/u**(28\/3) assuming u is positive.\nAnswer: u**(-152\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 201 + -103. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - -28 - 103 - 25?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17963 is divided by 5569.\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2464 is divided by 1226?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 44, -28 in increasing order.\nAnswer: -28, -1, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2160846 + 4?\nAnswer: 2160851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 403 and 6100211?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 0*c + v + 70, 3*v - 24 = -c. Let s be 40\/24*(c + 0 + 0). Solve -22*y = -12*y - s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 699, 639, 579, 519, 459?\n\"Answer: -60*z + 759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 - j**2 - 1 - j**2 + j**2)*(0 - 4 + 1)*(8 - 3 - 8).\nAnswer: -9*j**3 - 9*j**2 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280\/660*(-36)\/14.\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/5 - 11008*d**2\/5 + 33509376*d\/5 - 3439853568.\nAnswer: (d - 5184)**2*(d - 640)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -178610676.25503917 + 178610677. Let c = t + -0.745. Round c to six dps.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130021 (base 5) to base 4\nAnswer: 1032103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -5\/23786, 2\/5 in decreasing order.\nAnswer: 4, 2, 2\/5, -5\/23786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 2*l + 671 + 1128, 2*b - 4*l = 1210. What is the smallest value in 4, 5, b, 2\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 387431533 + -0.13266\nAnswer: 387431532.86734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 17*v**2 + 2*v + 285. List the prime factors of d(0).\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.81365 + -1.6837. What is g rounded to 3 decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -295.94 - -296. Is z greater than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 5*x - 2*v, -3394 = x - 3*v - 3392 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5717662?\nAnswer: 2, 23, 124297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/3)*m)**14 assuming m is positive.\nAnswer: m**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 779 a factor of 685149368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34881719065 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -66.7 + 64. Let t = -2.70035 - z. Round t to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1014414 (base 8) to base 10.\nAnswer: 268556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3*d + 574, 0*v + 5*d = -4*v + 2268. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-2))\/((-2)\/4). Suppose 5*f - 10 = 0, 0 = -5*y + 2*f + f + 14. Let d = y - v. Solve -d + 2 = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*r - 98 - 43*r + 14*r + 10*r + 17*r to the form p*r + a and give p.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -85981 at most -687841\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*z + 50 = 0, -3*f - 722*z + 718*z + 9 = 0. Let o(a) be the third derivative of -5*a**4\/24 - 7*a**3\/6 - a**2. Determine o(f).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**3 + 3*o**2 + 4*o + 1. Let g(m) = 17*m**3 + 14*m**2 + 19*m + 6. Let h(c) = 2*g(c) - 11*i(c). Calculate h(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**6\/4320 - f**5\/72 - 19*f**4\/288 - f**3 + 9*f**2\/2 + 14*f + 5. Let s(c) be the second derivative of p(c). Factor s(u).\nAnswer: -(u + 1)*(u + 19)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + t - 53 + 6 = 0, 4*t = 5*u - 43. Let z = u + -2. Solve 20 = 5*h + 5*m, -h + 4*m = 2 + z for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 37 = 3*n, 16*o + 3*n + 32 = 12*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6684816 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4429, -8862, -13295, -17728?\n\"Answer: -4433*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -689 - -463. Let a = p + 502. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1 + 1 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (123 - (-37088)\/(-305))\/((-21)\/(-30)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26 and 413.\nAnswer: 10738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s - 17. Determine j(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2961 in -3, -2, 2\/19, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*b + 208 = y, 3*y = -b + 629. Let n = y + -296. Find the common denominator of (1\/2)\/((-3)\/n) and 25\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 4*o - 1, -5*o = -i - 0*i + 46. Let j(y) = y**3 - 15*y**2 - 77*y - 51. What is the tens digit of j(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o = -4*o + 1260. Calculate the highest common factor of o and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 7*v**2 + 13*v + 174. Give c(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*x - 16, 48*f - 53*f = -25. Let m(g) be the second derivative of -1\/6*g**3 - g**x - 4*g + 0. What is the derivative of m(a) wrt a?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27346 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, n: 1, j: 1, l: 1, v: 1, x: 2}. Give prob of picking 1 n, 1 v, and 1 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -1) + (-10 - (2 + -11))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b + 4. Let f be h(2). Let l = -1 - f. Solve l*q + 10 = 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -387.4*4\nAnswer: -1549.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y - 7. Let k be u(-9). Suppose 4*g + 0*g = -o - 19, -k*g - o = 9. Let h(a) = 2*a**2 + 6*a. Calculate the remainder when h(g) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5058.\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10413*p - 2435*p - 90515*p - 37790*p.\nAnswer: -120327*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from bzl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001164 to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*j + 760 = 0, 5*q - j = 2*j + 3851. Suppose -3*k + 305 = -q. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 39*g - 263. What is w(-27)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 m when three letters picked without replacement from {p: 1, r: 7, m: 6}?\nAnswer: 9\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7389*n + 7490*n = 3838 for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19 - 253*u - 57 - 2151*u + 430*u - 464*u wrt u.\nAnswer: -2438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/9 (b) 175 (c) 263.9 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**4 - 33 - 611*f**2 + 606*f**2 - 29 + 0*f**4 in the form w*f**2 + h*f**4 + p*f**3 + y + z*f and give y.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 228146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 7178.1706 to 0 dps.\nAnswer: 7178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 15 = 6*s - 5*s, 33*s - 5*u = -38*s + 67*s - 67 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74142 and 34.\nAnswer: 1260414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + 27. Suppose -2*k - 3*k = -q. What is the least common multiple of 5 and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - z - 10 = 5*q, -4*q = 2*z + 8. Let h = 0.7 - 0.4. Let v be (16\/(-72))\/(0 - -2). What is the third biggest value in z, v, h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 251 or -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 628*f + 438986 = 428310 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 738 and 13500603?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 2 - 3. Let x(b) = 11*b**3 + b**2 - 1. Calculate x(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -85 + -7?\nAnswer: -8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*n**3 + 2*n**2 + 0 + 0*n.\nAnswer: -2*n**2*(n - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8.640621 years?\nAnswer: 0.08640621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 279112 and 53376.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fp when two letters picked without replacement from pffaz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23 + 1314?\nAnswer: 1337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.3, -0.5, -3, -0.4, -123, -93, -0.1?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.22, 4, 3\/2, -0.4, 33, 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 2*d - 2*w, -3*d = -w - w + 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 17\/2 of a millennium?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.09 (b) -1\/20263 (c) -8 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*n**4 - n**3 + n**3 + 2 - 11 wrt n?\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -611*p**2 - 19*p + 22. Suppose -2*l + 2*t + 28 = t, 4*l = -4*t + 56. Let v be a(l). What is v rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - 1. Let c(z) = z**2 + 3*z - 6. Determine c(b) - 4*o(b).\nAnswer: b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1275 + 43067?\nAnswer: 41572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1319?\nAnswer: 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 3*g - 40 = 2*n, 4*g = 3*n + 5. Find the common denominator of -3 - (-522)\/(-60) - 0\/1 and (n\/21)\/(4\/(-3)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 189, 216, 247, 282?\n\"Answer: 2*r**2 + 21*r + 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -181, -623, -1479, -2887?\nAnswer: -4985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 8)*46\/(-2668)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2160*n**2 - 92 + 897*n**2 + 1265*n**2.\nAnswer: 2*n**2 - 92","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s - 2*z = -7*s - 2175, -1284 = -3*s + 3*z. Calculate the remainder when s is divided by 98.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) -1\/4 (c) -3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (-1 - -7)) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4881926 divided by -4881926\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*m - 130 = 0. Let p be ((-5)\/5)\/((-2)\/m). Let a = -118 - -222. What is the greatest common divisor of a and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -90*a**4 - 3255*a**3 + 2795*a**2 + 720*a - 740 = 0.\nAnswer: -37, -1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w**3 - 2*w**2 - 2*w + 130. Let k(a) = 20*a**3 - 9*a**2 - 9*a + 519. Calculate -2*k(z) + 9*l(z).\nAnswer: 5*z**3 + 132","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is 9397 rounded to the nearest one hundred?\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.27 + -151.73. Let n = 152.2 + x. What is the closest to -0.2 in 4, 11, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1619, -4005, -6391, -8777, -11163, -13549?\nAnswer: -15935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 3596.\nAnswer: -1\/899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b + 26*q - 28*q - 20 = 0, -1775*b + 4*q + 14 = -1770*b - 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/7, 1, 0.05, -1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 3*b + 8. Let u = b - 3. Let z(n) = 3 - 2*n - 4 - 2*n + 3. Let d(h) = h. What is u*z(w) + 5*d(w)?\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 148, 578, 1294, 2296, 3584, 5158?\n\"Answer: 143*d**2 + d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255 - 76112*w + 255 + 397501*w + 215285*w.\nAnswer: 536674*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u - 4*u + 4*u + 2*u + 1 - 1 - 2*u + u + 3*u + (-3*u + u + u)*(-5 + 1 + 2) - u + 2*u - 2*u + 2*u + 2*u - 3*u + u + u - u - 615*u + 312*u + 307*u - 128.\nAnswer: 10*u - 128","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -7. Calculate the least common multiple of (-6 - 153\/(-18))*(-8)\/(-10) and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.18, -1.\nAnswer: -1, -0.18, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 77 + 226?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 0*u - 2*u)*(-1 + 4 - 2 + (7 - 1 + 1)*(3 - 3 + 2) - 1 - 6 + 4) + 4*u - 456 + 456.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, b: 7, x: 1, l: 2}. What is prob of sequence lxc?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 87 and 1753920.\nAnswer: 1753920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + -2 + 1 - (147 + -149).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -18, -4 in descending order.\nAnswer: 4, -1, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 87 (c) -2\/7 (d) -3230 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 2 + 2)*(1 + z - 1) - 83*z + 1201*z + 329*z to c + t*z and give t.\nAnswer: 1446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184683 is divided by 97.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -22407451, -22407456, -22407473, -22407508, -22407567, -22407656, -22407781, -22407948?\n\"Answer: -l**3 + 2*l - 22407452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -241501249 + 241501249 + d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.09 (b) 4 (c) 3 (d) 0.5 (e) -4 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/11 or 357\/5?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 354*h = 338*h + 80. Factor 0*r - 1\/6*r**2 + 1\/6*r**4 + 0 + 1\/6*r**3 - 1\/6*r**h.\nAnswer: -r**2*(r - 1)**2*(r + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87734?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-5) + 154\/10. Let p(g) = g**3 - 10*g**2 + 3*g - 10. Let s be p(10). Calculate the highest common factor of w and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 3*k**2 - 3. Let g be o(4). Let x(s) = -3*s**2 + 18*s - 5. Let b be x(5). Let j be (b\/(-6) + 1)*g\/(-95). Which is smaller: -0.1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000310341351 to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(8) + 4)**2 + ((sqrt(2) + 0)*-3)**2 + (sqrt(16)\/(sqrt(80)\/sqrt(490)))**2.\nAnswer: 24*sqrt(2) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p - 12. Let m = 94 + -78. What is the remainder when w(18) is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.5799 - 8.345. Round g to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000021314 to 7 dps.\nAnswer: -0.0000213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.18381 times -3\nAnswer: -3.55143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 639990503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 24. Let n(x) = -x**2 + 7*x - 4. Let i be n(q). What is the tens digit of 975\/26 - 2\/i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40)\/12*(-33)\/2. Let u = -31 - -20. Is (-10)\/q - 464\/u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/41921 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67888 - 67873. Let q(k) = 8*k**3 - 5*k**2 + 2*k. Let n be q(5). What is the highest common factor of n and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/(-189)*7\/6*(-3)\/(30\/95).\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**3\/6 + 3*j**2\/2 - 9*j\/2 - 11. Factor b(x).\nAnswer: -(x - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -174 divided by -6\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiipioiieii. What is prob of sequence ioe?\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 65\/20 - 1\/4. Suppose -3*d + 3 + u = 0. Let l(k) = 2 + 9*k**2 - 10*k**2 + 5*k + d. Give l(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -0.3 (c) -6.099 (d) 0.2 (e) -78 (f) -15\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f + 5. Suppose 4*l - 4*b - 8 = 6*l, -l + 5*b + 24 = 0. Calculate the remainder when (-5)\/(10\/(-192)) - -1 is divided by v(l).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.271015 to 0 dps.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4, 104, 430, 1082, 2168?\n\"Answer: 18*c**3 + c**2 - 21*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3188 divided by -5\nAnswer: 3188\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6449, -677, -4, -12 in descending order.\nAnswer: -4, -12, -677, -6449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -166.33899858557 - -166.339. What is p rounded to seven dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**3 - 9*c**2 - 4*c - 34. Let o = 227 + -235. What is the remainder when z(o) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**3 - 3*t**2 + t + 3. Let d be f(-1). Let w be 1*(-8)\/48 - d\/(-6). Which is the nearest to w? (a) 0.1 (b) 25 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2684, 5514, 8344, 11174, 14004?\n\"Answer: 2830*b - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.96 - -0.04. Let y = n - 5.999976. What is y rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -570, 0, 23.35, 4 in descending order.\nAnswer: 23.35, 4, 0, -570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 + 8*t. Let d(h) = -h. Let a(s) = 3*d(s) + f(s). Is 6 a factor of a(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 1. Let m = j + 0. Suppose -4*n + 8 = -l - 0*n, l - m*n = 0. What is the highest common divisor of l and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -3, -2, 1\/11, 0?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.53 + 7.6. Let y = n - 1.93. What is y rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -25*o**2 - 8*o + 3. Let q(u) = 224*u**2 + 72*u - 28. Let l be (0 + 1)\/(2 - (-228)\/(-112)). Let b(h) = l*g(h) - 3*q(h). Suppose b(p) = 0. Calculate p.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3093*u**2 - 3093*u**2 + 9527 - 9527 + 33*u**3.\nAnswer: 33*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 0*b + b**2 - 5 - 3 + 4*b + 0*b**2. Let d be s(-6). Solve 2*v - 4*i = 16, -2*i = d*v - 5*i - 22 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(1\/(-1))*-5. Suppose 2*y - b = -3*y. What is the remainder when 15 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 2:30 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 9. Suppose j - k*j = -12. Let y(u) = -u + 1. Let c(z) = 3*z - 3. Let o(h) = 6*c(h) + 21*y(h). What is o(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1492.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-123 + 97971\/791)*7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/786 and -95\/22?\nAnswer: 8646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1609, -3212, -4813, -6412?\n\"Answer: t**2 - 1606*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -10*g**3\/3 + 13*g**2\/2 + 9. Find the second derivative of h(a) wrt a.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 303\/8 (b) 0.2 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**3 + f**3 - 6*f**2 + 2 + f**2 + 3*f**2 + 2*f. Give r(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 5*w + 22 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/2 - 70\/(-4). Let o(y) = 4*y + 15. Let i be o(9). Let s = i - b. What is the remainder when s is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.153 - 3.153. What is the third biggest value in 2\/9, d, 5, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/98115 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -21000786606 rounded to the nearest one hundred thousand?\nAnswer: -21000800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 53? (a) -3 (b) 0.2 (c) 1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(15)\/sqrt(3) + (sqrt(30)*4)\/sqrt(6).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 137*m + 17. Let u be s(9). What is u rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 6 + 33 = 3*m, 3*q + 5*m + 13 = 0. Is 346\/18 + q\/27 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 9 + -5 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2503*q**2 + 1 + 29*q**3 - 2505*q**2 + q**4 as r*q**3 + m*q**4 + b + g*q + j*q**2 and give r.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 14 + 2 = -4*v, -2*v = n - 14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -2)*0*1. Suppose 22 = 3*l + 2*t, -4*l + t + f*t = -33. Is 2642\/l - (-15)\/20 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j + j**2 - 7 + 8 + 3*j - 16 + 3.\nAnswer: j**2 + 9*j - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 6*((-1*sqrt(171))**2 + 4) + -4.\nAnswer: 1045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10293970*u**5 - 85865*u**2 - 26*u - 1 wrt u.\nAnswer: -617638200*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) - (sqrt(441) - sqrt(441)*-1 - sqrt(441))\/sqrt(7))*-2*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 1. Suppose -3*n - 6 = -4*n. Let k be v(n). Let u(r) = 5*r**3 + r**2 - 3*r + 4. Let b(d) = 9*d**3 + 2*d**2 - 5*d + 7. Calculate k*u(c) + 3*b(c).\nAnswer: 2*c**3 + c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 2. Let u = -0.048 + -109.952. Let k = u - -109. Sort j, 1\/4, k, 1 in increasing order.\nAnswer: k, 1\/4, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((108\/(-224))\/9*4)\/(330\/77)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/24 and 37\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -10*x**4 + 128*x**3 - 74*x**2 - 260*x - 48 = 0.\nAnswer: -1, -1\/5, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 51, 72, 113, 180, 279, 416, 597?\n\"Answer: t**3 + 4*t**2 + 2*t + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26098 - 104395\/4. Let v = 10 - 5. Which is the closest to -9? (a) 0.1 (b) v (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -10*r - 25. Let q(l) = l**2 - 2*l - 8. Let h be q(r). Suppose -h = -2*d + 3*j, -3*d - j = 4*j - 98. What is the remainder when 74 is divided by d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/31? (a) 1\/8 (b) -2 (c) 3 (d) 0.1 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 15 = 0, -155 + 164 = -2*h - 5*w. Solve 3*y - n = -10, 0 = 4*y - 7*y - h*n + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -227399.\nAnswer: -3\/227399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 252884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-28))\/(6\/21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 74.7.\nAnswer: -7.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 4. Let q be n(-4). Let r be (-1 - -2)\/((-3)\/(-15)). Suppose -3 = d - 4*d. Put d, r, q in decreasing order.\nAnswer: r, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2772\/(-27)*1881\/1254?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.041887 take away -121618?\nAnswer: 121617.958113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2349110 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1264*q + 1269*q - 6 + 4 to g*q + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -21*((-12)\/(-14))\/(-1). Let w = 18 - r. Let j = 9 + w. What is the remainder when 34 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2310 and 16.\nAnswer: 18480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 0*a - a**3 - 15 + 173\/4*a**4 + 1\/2*a**2. What are the prime factors of p(1)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a factor of 165560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2229\/2? (a) -0.3 (b) -4\/5 (c) 5 (d) -5 (e) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 157548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**(2\/35) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143 and 24349?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -4 and 939 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30100? (a) -0.1 (b) 4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 17\/10*k**5 - 7\/2*k**2 + 0*k**3 - 35*k + 0 + 0*k**4. What is the first derivative of z(u) wrt u?\nAnswer: 102*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*s*t**4 + 39572*s - 1154*t**4 wrt t?\nAnswer: 20*s*t**3 - 4616*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 686787971 to the nearest integer?\nAnswer: 26207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 0 - (102 - 103)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express q + 3*q - 2*q + (3 - 1 - 1)*(-21*q - 36 + 36) + (4 + 1 - 2)*(-51*q + 563 - 563) in the form x*q + w and give x.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 1.96. Let u = 9 - 9.02. Let o = d - u. What is o rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 11*n - 10 - 4*n + 2*n + 0*n + (4 + 2 - 5)*(1 - 1 + 2*n) + 1 - 1 + n - n + 2*n + n)*(2*n - n + 0*n).\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*f + 1805 - 2385 = -45*f for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 3. Suppose b = -4*t - 0*t. Let a(s) be the third derivative of s**6\/120 + s**5\/60 + s**4\/24 - s**3 + 2*s**2. Give a(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1027 and 1030 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21277530311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32 * -0.08.\nAnswer: 2.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2828*x**2 + 4616*x**2 - 8454*x**2.\nAnswer: -1010*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 2:07 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70869025?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*t = -24*t - 26*t + 6576804. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4389566308 + -2\nAnswer: -4389566310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 225 and 593575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 30.8. Let z = -4 + 4.2. Which is the closest to 4? (a) s (b) z (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/14 - (-540)\/(-84). Let w be ((-102)\/8)\/(2\/(32\/g)). Let j = w - -56. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170834, -341700, -512566, -683432?\nAnswer: -854298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 33?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 61631 (base 7) in base 15?\nAnswer: 46e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 5703534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**2 + 33*l + 86. Let w be d(-5). Sort 1, -39, 4, w in decreasing order.\nAnswer: 4, 1, w, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2438591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxdx when four letters picked without replacement from {c: 2, d: 5, x: 6}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 38. Let l = u + -17. Solve j + l*a + 9 = 0, 2*j = j - 4*a - 11 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - -225231622\nAnswer: 225231636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-44 + 4*g + 44 + 0 + 0 + 2*g + 0 + 0 + 2*g + (1 - g - 1)*(0 + 1 - 2) + 0*g - 3*g + 2*g - g + 3 - 3)*(-4 + 3 + 5) as s*g + f and give s.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 270\/11, -2, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -5, -2, -3, -29109?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35663?\nAnswer: 19, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1.734 times 254707\nAnswer: 441661.938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 131968618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**4 - 52 + 4*n**3 + 52 + n**2 - 3*n**3 in the form j*n**3 + t*n**4 + z*n + f*n**2 + o and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -108*w**3 - 6*w**2 - 6*w + 1. Give q(-1).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 8, m: 2}. What is prob of sequence aam?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 2*c - 4*c)*(73 + 2*c**2 - 34 - 41 - 10*c)*(-2*c + 5*c - 4*c)*(-6*c - 6*c + 6*c).\nAnswer: -24*c**5 + 120*c**4 + 24*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 244521.6 greater than or equal to -44\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -300123322?\nAnswer: 300123323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-1)\/(-3)*108\/14.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 81416, -9, 1, 28 in descending order.\nAnswer: 81416, 28, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 230488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 104 - -44414331?\nAnswer: 44414435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w + 3*w + 0*w)*(-2*w - w**4 + 2*w) + (2*w**4 - 5*w**4 + w**4)*(-4*w + 2*w + 4*w) + 0*w**4 + w**5 + 0*w**4 - 75*w**5 + 32*w**5 + 109*w**5.\nAnswer: 64*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154*x + 18*x = -2856. What is the highest common divisor of x and 8337?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -286\/35 + 4861\/385. Let t = -8 + 11. Calculate the common denominator of s and (-1)\/t + (-130)\/(-12).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.44626 micrometers to millimeters.\nAnswer: 0.06744626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-624)\/260)\/(6\/(-15)). Calculate the greatest common divisor of 3408 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126126 and 37044?\nAnswer: 5297292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 820033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 26*x)*(-5*x - 1 - 1 + 6*x)*(0*x + 0*x + 2*x).\nAnswer: -52*x**3 + 104*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k**4*u + 24*k**2*u**2 - 2*k*u**2 + u**2 + 20*u wrt k?\nAnswer: 4*k**3*u + 48*k*u**2 - 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 1 = 0, -6*g + 3*g + 16 = -4*q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 6*n - n**2 + 4*n - 6*n + 0*n - 4. Let s be f(3). Let y be s\/6*-2 - -1. Which is the second biggest value? (a) -1 (b) -2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91b0 (base 16) in base 9?\nAnswer: -56140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (4 + 2 - (2 + -8))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 50\/(-24) + 2\/6. Let m = 10 + -11. Which is smaller: m or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -1306*k + 1303*k + 175791, 0 = 4*k + 3*b - 234346. List the prime factors of k.\nAnswer: 13, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8064 and 8648388.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17047 is divided by 2089?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -d29 (base 15) in base 9?\nAnswer: -4053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*u**2 - 16262210*u + 4065552.\nAnswer: 2*(u - 2032776)*(4*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*v - 22 - 348 - 81 = 0. Let f(l) = 16*l + 60. Let r(m) = 3*m + 12. Give v*r(n) - 2*f(n).\nAnswer: n + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4270 and 33443494?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -7*x**3 - x**2 - 2*x. Suppose -d + 2*h = 7, -5*d - h + 4*h = 14. Let q be m(d). Solve 0*p + 2*p - q = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4*l + 0*l = 26, -2*k - l = 0. Let s = k + 6. Suppose b - 6*b + 3*q + 101 = 0, 4*b + s*q = 100. Is 22 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78508 and 529929?\nAnswer: 2119716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3350281*-9.\nAnswer: 30152529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - -4 - (18 - -2). Let n be 36\/(-24) - i\/4. What is the closest to 1\/5 in -3\/2, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**2 - 4 + 34*n**3 - 5*n**2 - 2*n**4 - 37*n**3 + 2*n to v*n**3 + d*n**2 + c + f*n**4 + h*n and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 115291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 34 + (16 + -57 - -37)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/32)\/(20\/(-200)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(245) + -6*-1*sqrt(245))**2 - (sqrt(245)*-2 + 1) - (5 + 3*sqrt(245) + sqrt(245) - sqrt(245))*-5)*5*-5.\nAnswer: -300725 - 2975*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2336\/(-730))\/(8\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*y**6 - 1148*y**4 - y**3 + 134164*y**2?\nAnswer: -480*y**3 - 27552*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -87 + 56. Let g = t + 22. Let k = 4 - g. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**3 - 24*w**2 - 13*w - 169. Let m be g(13). Let b(k) = 2*k**2 + 1. Let y be b(-1). Suppose 0*q - y*q = 0. Solve h + q - 1 = m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2024089, -2024031, -2023973, -2023915, -2023857?\n\"Answer: 58*y - 2024147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 1)*(q + q - q) + ((3 - 2 + 0)*(-1 + 0 - 1) + 42 - 28 - 25)*(4*q + 2*q - 4*q).\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, o: 2, v: 3, f: 1, d: 3, n: 2}. What is prob of sequence fmd?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a century in years?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(8\/3)*s*(s*(s*(s\/(s\/s**(6\/13))*s)\/s)\/s*s)\/s*s*s\/(((s*s\/(s**(-8\/7)\/s*s)*s)\/s)\/s)*s*s*s**(1\/3) assuming s is positive.\nAnswer: s**(666\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = -4*t. Sort 11, 2, t in decreasing order.\nAnswer: 11, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 8, 20, 38, 62, 92?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -11*l. Let k(z) = -21*z + 81. Calculate k(n) + 5*w(n).\nAnswer: -76*n + 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -4, 3, -26, 5, -3 in descending order.\nAnswer: 22, 5, 3, -3, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 - -31. Suppose -5*d - 2*a + 44 = -269, 0 = 5*d - k*a - 285. What are the prime factors of d?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3541 (base 6) to base 13.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 839923063?\nAnswer: 7, 17, 19, 53069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8937243.\nAnswer: 3, 7, 47287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 171.692 and -0.3?\nAnswer: -51.5076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1)*(-2*h - h**2 + 2*h**3 + 2*h).\nAnswer: 6*h**3 - 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 v when four letters picked without replacement from wwlvrwvvsrwwws?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -6*h + 250. Suppose -h*r + 53*r - 14736 = 0. Suppose r = -5*q - 10088. Round q to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 7*d**2 - 5*d - 2. Let j be i(-3). Let h(l) = 12*l + 50. Let y be h(3). Let p = 143 - y. Calculate the greatest common factor of p and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*r + 23*r + 67*r - 340*r = -11820 for r.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - 12. Let j = 1 + t. Let f = j - -32. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 21*s**2 + 10*s - 26. What is the hundreds digit of m(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.252739 rounded to 2 dps?\nAnswer: 6.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-5) - 4\/(-10). Suppose 0 = 4*y - 12, -2*t + 10*y + 366 = 8*y. Suppose -94 - t = -b*h. Is 35 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 9:12 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, g: 2, f: 1, s: 1, q: 1, w: 1}. What is prob of picking 1 g and 1 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -11*n**9\/504 - 7*n**5\/30 - 16*n**2. Find the third derivative of i(d) wrt d.\nAnswer: -1320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13\/7 - -10\/7. Put l, -1\/6, -1\/5 in descending order.\nAnswer: -1\/6, -1\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 2)\/((-5)\/(30\/(-14)))\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -7*u**3\/3 - 991. Let q(f) = -29*f - 3. Give q(w(r)).\nAnswer: 203*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00067429 to 5 dps.\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -306.\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, t: 1, z: 6, i: 1, w: 1, v: 1}. What is prob of picking 1 l, 1 t, and 1 w?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 39373868 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22853.\nAnswer: 22853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 5 + 4 + 14*v to o*v + y and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*677.\nAnswer: -135.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -181028, -360152, -539274, -718394, -897512?\nAnswer: -1076628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(11)*-2 + 3 - sqrt(99)\/((sqrt(99)*-2)\/sqrt(11)).\nAnswer: -3*sqrt(11)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 34*o**2 + 54*o + 4499. Give i(-31).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 23837 + -8.956723\nAnswer: 23828.043277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.01503 - -182\nAnswer: 181.98497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1532 and -2?\nAnswer: 1534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfbfbb. Give prob of picking 2 f and 1 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 53808 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 161994 = -119261. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 19*i**2 - 3*i + 4*i - 20*i**2. Let l(c) = -6*c**2 + 7*c. Let r(t) = 2*l(t) - 14*y(t). Let u(w) = 4*w. Give r(u(m)).\nAnswer: 32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103 + 103 + 21*v)*(0*v + 2*v - 1 + 0*v).\nAnswer: 42*v**2 - 21*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1174 divided by 55.\nAnswer: 1174\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -1\/120*h**6 + 1\/4*h**4 + 0*h + h**3 + 1\/12*h**5 + 0 - h**2. Suppose 0 = 2*s - 3*s + i + 10, 4*s = 2*i + 32. Calculate p(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 0*w + 3*w)*(-66 + 59 - 126 - 27 - 124).\nAnswer: -568*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 164*w + 612. Let s be c(-1). Are s and 453 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h + 9*h - 7*h)*(25*h - 25*h + 10*h**4).\nAnswer: 70*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-3)*(-15)\/(-35). Let q = 8\/17 - 90\/119. What is the nearest to 2\/3 in t, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -216044\/15 + 14397. Let q = -1753\/30 - -407\/6. What is the common denominator of b and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2592417, -5184838, -7777257, -10369674, -12962089, -15554502?\nAnswer: -18146913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 4 = -6*n - 3*v, 0 = 4*n - 4*v for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j**(-2))*j))**(-19)\/(((j\/(j*(j*j*j\/((j\/((((j*j\/(((j*j*(j\/(j*j**0\/j*j*j))\/j)\/j)\/j))\/j)\/j)\/j))\/j))\/j*j))\/j)\/j**2) assuming j is positive.\nAnswer: j**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 3*j**2 + 3*j**2. Let i(l) = -12*l**2 + 9. Let h(w) = 3*w**2 - 2. Let c(x) = -18*h(x) - 4*i(x). Give c(t(y)).\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -0.2 (c) 0.4 (d) -37 (e) -2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43134*a + 43159*a - 225 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 5*h + 7. Let x be u(-6). Suppose -z = -5*z + 8. Let f(m) = -2 + 2 - m + 6*m**z. What is f(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c. Let o be u(-1). Let z = 255 - 153. Suppose -o*y + z = 3*y. What is the highest common factor of y and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 154 + -60. What are the prime factors of b?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 4*i**2 - 2*i + 7. Suppose -10*a - 44 - 6 = 0. Give s(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sptchmhhtthth. What is prob of sequence st?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(8) - ((-1*sqrt(72))**2 + sqrt(2)))*2.\nAnswer: -148 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-1\/2)*f*f*f)\/f**(-3\/17))\/(f**(-7\/4)\/f)**(15\/8) assuming f is positive.\nAnswer: f**(5349\/544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 117 - 6\/4*-2. Suppose 0*o + j = o. Suppose -2*t + 5*s + 39 = 0, o = 4*t - s - 3. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 74\/14 + (-14)\/49. Suppose -76656 = -l*h + 21364. Suppose -3*w + 2*z - h = -w, 2*z = w + 9804. What is w rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + sqrt(468) - (sqrt(208)\/sqrt(4) + -3 - sqrt(52))**2) + 2.\nAnswer: -10 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 4:37 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-165))\/(-36*(-9)\/270).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -6. Suppose 2*i + z = 7, -2*z = -o*i - 0*i + 2. Suppose -3*v + 370000 = -i*v. Round v to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46 and 3046994?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2. Let h(o) = -o**2 - 4*o + 4. Let a(q) = -q**2 + q - 1. Let u(k) = -4*a(k) - h(k). What is u(b(g))?\nAnswer: 5*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*g = 0. Suppose g*f = -5*f + 20. Solve 35 = f*t + 5*o, -4*t - o + 0*o + 23 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2432 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33\/25 + 893\/100. Let o be (-220)\/(-18) + 6\/(-27). What is the common denominator of (-178)\/o - 1 - -1 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-110)\/(-77))\/((-3)\/(-42)). Calculate the greatest common factor of 160 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5554*g**2 - 15449*g**2 - 3827*g**2 + 5220*g**2 as i*g + p*g**2 + y and give p.\nAnswer: -19610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -14, -32, -52?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/2)\/(-2) + 29. Suppose 0 = 3*w - 87 + j. Calculate the least common multiple of 20 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6020 and 30444860?\nAnswer: 213114020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -112401.10045958 and 5.\nAnswer: -112396.10045958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140 and 22660.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o - 3*o - 3*o)*(-4*o**4 + 0*o**4 + 3*o**4) - 2*o**5 - 487 + 487.\nAnswer: -3*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of s**5\/60 - 11*s**3\/6 - 4*s**2. Let g be l(4). Let j = 64 - 44. Solve -g*f = -10*f - j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7822 divided by 103787\nAnswer: 7822\/103787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2438\/347415 - (-919)\/(-9120).\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1 + -14 + -43 + (13 - 1)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9639, 19463, 29493, 39729, 50171?\n\"Answer: 103*r**2 + 9515*r + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 237 = 3*g, -67*t - 26 - 161 = -71*t - 5*g for t.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -26361487364 rounded to the nearest one hundred thousand?\nAnswer: -26361500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 148595 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 168 divided by -12?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 (base 4) in base 2?\nAnswer: -11100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2051 + -0.4.\nAnswer: 2050.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188108?\nAnswer: 2, 31, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 13 - 3) + 19 + -12 + -6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-9 + 3) - 45 - (-3 + -2) - -5.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -56850 to the nearest one thousand.\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4482426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3804037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41709?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 263, -2, -669.\nAnswer: -669, -2, 263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-8) - (-50)\/(-8). Let v be -3 - 5\/(5\/p). Solve 11 = 2*q - v*l, 6 + 3 = 3*q - 2*l for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 822 - 824. Put o, 2, 14 in increasing order.\nAnswer: o, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-15)\/2)*12\/(-2).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-5)\/85 - 39*(936\/6800)\/(-39)\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 973*h**3*l + h**3 - 2*h**2*l - h*l - 410 wrt h?\nAnswer: 5838*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158, 36, 230?\nAnswer: 424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -506 + 2019\/4. What is the second smallest value in 0.4, -23, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 0, 84, 108, 5 in decreasing order.\nAnswer: 108, 84, 5, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**2 + 17*x + 6. Let v be q(9). Let t be ((-11)\/(-3))\/((-1)\/v). Suppose -6*s - t = -371. Is 30 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-8)*(-12)\/(-18). Let f = 5.4 + -1.4. Sort c, 8, 0.1, f in increasing order.\nAnswer: c, 0.1, f, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 644?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1595 is divided by 122.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 36*z - 76. Calculate u(3).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 41*b - 121. Calculate the remainder when 17 is divided by x(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 193*y + 1831. Give j(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.15, -4, -5, -2 in increasing order.\nAnswer: -5, -4, -2, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -3*i**4 - 51*i**3 + 2394*i**2 = 0.\nAnswer: -38, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1649 and -4.4?\nAnswer: 7255.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -777248, -777234, -777220?\nAnswer: -777206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23 and -2903?\nAnswer: 66769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(19)*-2 - sqrt(19) - (-2 + sqrt(19))**2*1.\nAnswer: -23 - 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -r + 116, -2*r - 7 = 1. Solve 0 = 3*h + 17*h + j for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(5\/9)*s**(-12\/5))\/(s**24\/s**(3\/4)) assuming s is positive.\nAnswer: s**(-4537\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 16, 30, 46, 64, 84, 106?\n\"Answer: d**2 + 11*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*i - 24*i**3 + 151*i + 22*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgnnvuua. Give prob of picking 1 a and 2 u.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 71 in 0.2, -3, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.2, 0.3, 3\/5, 0.07, -2\/723?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f. Let w(v) = -6*v**2 + 86*v - 19. Calculate y(w(q)).\nAnswer: -12*q**2 + 172*q - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15\/4221257 or 0?\nAnswer: 15\/4221257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 2*v + 16, 3128*q - 28 = 3125*q - 10*v for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g**2 - 8*g - 2*g**2 - 221 + 185. Let b be r(12). Suppose 0 = d - b*d + 61633. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3973 by 7129.\nAnswer: -3973\/7129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226325 is divided by 164?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/7)\/(118\/413). Let i(l) = -l. Let u(f) = 2*f**3 + f**2 - 2. Calculate x*i(v) - u(v).\nAnswer: -2*v**3 - v**2 + 6*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -160189 bigger than -160194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 6*m. Let a(h) = h + 2. Let c be a(2). Suppose m*v = -v + c. Solve 0 = -5*y + b + v*b + 30, 25 = 5*y - 4*b for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/1*(0 + 0). Suppose 6 + g = 3*c. Is 1 + (c - 1)*9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) 0.3 (b) -0.1 (c) -4\/5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**3 + 6*x**2 - 4. Let o be b(2). Let j be (1\/4)\/((-2 - -1)\/o). Solve 0 = -r - j - 4 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -303*h + 944 = -301*h. Suppose -j - k + 60 = -35, h = 5*j + 4*k. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*m + 2*m = -54, -q - 3*m = -18. Suppose 0 = -4*z + z + q. Let j = 817 + -816.8. What is the third smallest value in 0, z, j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a micrometer in nanometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y - 6. Let m be f(4). What is the highest common factor of 28 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21.945 + 0.055. Put 4, 5, t in descending order.\nAnswer: t, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -139 - (-122 + 144 + -80).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54774.\nAnswer: 2, 3, 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 416244487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k**2 + 85. Let i(b) = -9*b**2 + 169. Determine -6*i(l) + 11*q(l).\nAnswer: -l**2 - 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6428 divided by -4?\nAnswer: -1607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8\/25 of a millimeter?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -466 = -m + l, 23*m = 18*m + 2*l + 2345. Suppose 0*u + 3*u - m = 0. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19174 or -19290?\nAnswer: -19174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 62737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 198*z + 7*z**2 + 1 - z**3 - 30*z**2 + 210*z to the form a + g*z + k*z**3 + t*z**2 and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**2 + 3*k**2 - 4*k**2 + 0*k - 2*k**2 + 0*k + (3 - 5 + 4)*(k**2 - k**2 + 2*k**2) - 28*k**2 + 144 + 17*k**2 + 123*k**2 - 165*k**2.\nAnswer: -49*k**2 + 144","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2080 and 4.\nAnswer: -8320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*(sqrt(17) + 2) + -3*(sqrt(34)\/sqrt(2) + -3))**2.\nAnswer: 594*sqrt(17) + 2466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -43715 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 197*i + 2 + 1 + 6 to h*i + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 953402175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 363*c**4 + 14*c**3 - 34048*c wrt c.\nAnswer: 4356*c**2 + 84*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 15*y - 16. Let i be o(14). Which is bigger: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (116\/(-1015))\/((-2)\/(-5)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -422 divided by -422.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1647 + -90582\/55. What is the biggest value in 3\/8, -1\/3, b?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14232, -14154, -14074, -13992, -13908?\n\"Answer: z**2 + 75*z - 14308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 11*p**2 + 2*p. Let y be g(-11). Let n = 20 + y. Let r(u) = u**2 + 2*u + 1. Give r(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05721 less than 0.03?\nAnswer: 0.08721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-15)*6\/2. Let q be (16\/32)\/(h\/8). Suppose 49 = 2*v - q*a - 77, 0 = 4*v - 2*a - 246. What is the remainder when v is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 15 = -4*m. Let s be 4\/(-10) + 44\/m. Solve s*l + 4 = -4*t + 24, 5*l = 3*t + 17 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 4*s + 20 = 0, 3*v - 3*s + 7 = 2*s for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1405754 and 17178.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -26, -24, 6, -8, 14\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*g + 8 = -v, 1 = -g. Let f(a) = a**3 + 4*a**2 + 4*a + 4. Let u be f(v). Is (3\/u)\/((-3)\/(-3101)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98512.\nAnswer: 2, 47, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and 501111.31997.\nAnswer: 501110.31997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*w + 244 = 0, -a + 4*w + 115 = -12. Suppose 0 = -2*i - 11 + 45. Calculate the greatest common divisor of i and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 9) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5)\/((-5)\/7) - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-7))\/(3\/(-18)*2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-140)\/(-6 - ((-10)\/(-315))\/((-3)\/564)) a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -2\/29 (b) -5 (c) -3\/419\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 16*j**3\/3 + 7*j**2 - j - 277. Let o(z) = -11*z - 5. Give 8*o(v) + 3*w(v).\nAnswer: 8*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 614114, 2, -1, 4 in increasing order.\nAnswer: -1, 2, 4, 614114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 221063 and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -3. Suppose x + 3*g = -3*x - 23, 22 = -4*x - 2*g. Let a(w) = w + 7. Let q(z) = x*v(z) - 2*a(z). Calculate q(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of 2*i**4 + i**2 - 14. What is the second derivative of s(w) wrt w?\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 698423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 919*t**2 + 7317*t**2 + 27.\nAnswer: 6398*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3*u**2 + 5*u - 4. Give f(4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 10 = -h. Suppose -m + 6*m = -2*t + 52, 0 = h*m - 5*t - 45. Let g(l) = l**2 - 9*l - 9. Let c be g(m). Solve -c = -f - 0*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -135368, -135302, -135236, -135170?\n\"Answer: 66*a - 135434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(52)\/sqrt(4) + sqrt(26)\/sqrt(32) + sqrt(91)\/sqrt(28)*6.\nAnswer: 4 + 17*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 162\/33 + -2 + (-78)\/(-858). Let k(v) = v + 5. Let g = -6 + 0. Let j be k(g). Sort a, 5, j in descending order.\nAnswer: 5, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10002002 (base 3) in base 6?\nAnswer: 14215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 7 + 2)*(-2*m**2 - 5 + 5).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 - (4 + -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4065 a factor of 431984261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 - 17 = 4*v. Suppose -10 = -5*k + v. Suppose -k*p + 372 = -2*p - 5*g, -p = -2*g - 125. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -6*b**2 + b + 1. Let n be o(-1). Let h = n - -6. What is h rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 5*k**2. Let p(w) = -137795*w. Determine i(p(l)).\nAnswer: 94937310125*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3789, 8832, 13875?\n\"Answer: 5043*z - 1254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -1\/60*o**5 + 0 + 0*o - 7\/24*o**4 + 2\/3*o**3 + o**2. Calculate the smallest common multiple of 10 and u(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 26*l**2 + 107*l - 136. Is s(29) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.1 - 1.3. Let a = -4.8 + r. Put 3, 2\/21, a in decreasing order.\nAnswer: 3, 2\/21, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3640 and 1155700.\nAnswer: 2311400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 891127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 998, 1996, 2994, 3992, 4990?\nAnswer: 5988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2955524?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/44 and -47\/110.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 7*d**2. Let f(k) = -2*k - 2*k + 2*k. Determine o(f(i)).\nAnswer: 28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(10)*-2*2)\/(6*((sqrt(180)*3 - sqrt(180)) + sqrt(5))).\nAnswer: 2*sqrt(2)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3670 = -58*t + 53*t. Round t to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = z - 72. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -37*q**2 - 507*q. Let g(r) = 6*r. What is g(k(z))?\nAnswer: -222*z**2 - 3042*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = h + 823, -2*h + 160 = 2*t - 264. Suppose 4*r - 1467 = -t. Suppose -12*y + r = -7*y. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaf when three letters picked without replacement from baffae?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 82781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 2324.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 191 and 13561.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 4:56 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9852 - -9934. Calculate the remainder when 246 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 16*i**3 - 8*i**2 + 149. Let c(m) = -15*m**3 + 10*m**2 - 149. Let l(u) = -4*c(u) - 5*q(u). Differentiate l(s) wrt s.\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -387 or 2304?\nAnswer: -387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6 - -8 - (-9 + -1). Suppose n + 0 = 3*p. Suppose -39*t + 54 = -102. Calculate the greatest common divisor of p and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 26*c. Let r(m) be the first derivative of m**5\/60 - 25*m**3\/3 - 6. Let o(a) be the third derivative of r(a). Determine o(w(l)).\nAnswer: 52*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 13*q**2 - 53*q + 20. Determine w(16).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -279.10571 and 20?\nAnswer: 299.10571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.3 + -1.2. Which is the nearest to 1? (a) 1 (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1886, -3, 2, 4, -7, -1, 0 in ascending order.\nAnswer: -1886, -7, -3, -1, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a**3 + a**2 + 3*a - 2. What is h(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 e when two letters picked without replacement from erperpprye?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 151 - 52. Solve -3*z - 1 = u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*a + 54*a = 90*a + 271464. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -51, -112, -197, -306?\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -361054, -361052, -361050, -361048, -361046, -361044?\n\"Answer: 2*q - 361056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -1 + 8*y + 8*y - 24*y + 9*y. Suppose -3*w - 5*p = -16, w + p - 2 = 2. Suppose 0*x - 16 = w*x. Calculate m(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*2\/(-4) + -2. Let o = -3569\/2 - -1824. Find the common denominator of t\/(-15) + (-2)\/10 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -0.1 (c) 3\/4 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(sqrt(30)\/sqrt(6)) - 5*2*sqrt(17))**2.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d + 3 = 3. Suppose d = 2*p + 2*i - 11348, -2*p + 7643 = 5*i - 3720. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c. Let b(v) = -66*v. Give n(b(u)).\nAnswer: -132*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 470.9 - 470.4. Let g be ((2 + 0)\/6)\/(-2). What is the nearest to 5\/6 in g, -0.5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2740)\/(-180) + 0 + 4\/(-18). Let f = 11 + -7. What is the first derivative of -5 + b - f + 8*p**4 wrt p?\nAnswer: 32*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 2*o - 30 = 0, v - 518885 + 518891 = -2*o for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 3*t**2 - 3*t - 22. What is g(-5)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -4*i - 8, 0*y = 2*y - 2*i + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00559819648 to seven dps.\nAnswer: -0.0055982","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -5*t**3 - 8510*t**2 - 3629500*t - 7225000 = 0.\nAnswer: -850, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1\/3))\/(n*(n*n\/(n\/((n*(n**(2\/3)\/n)\/n)\/n*n))*n*n)\/n))\/(n**(-1\/4))**(-3\/2) assuming n is positive.\nAnswer: n**(-41\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 19, 28, 37, 46?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1171096 and 158.\nAnswer: 1171096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2371 - -9008. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**6\/60 + k**4\/12 - k**2\/4 + 6*k. Factor j(o).\nAnswer: -(o - 1)**2*(o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 873 divided by 5047.\nAnswer: 873\/5047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*p + 2373 = 4*p + 497 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.493559 rounded to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 541, 1978, 4377, 7738?\n\"Answer: 481*f**2 - 6*f + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53.51 + 5.52. Let y = -1.01 + w. Let g = y - -52. Which is the biggest value? (a) g (b) -2 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4738842 a multiple of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l - 3. Let t be r(-7). Solve -t*w + 20 = -h - 5, 2*w = -2*h for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*k + 3*d - 44 = 26*k, -d = 2*k - 20 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 2018*1\/(-9). Let g(k) = -k**3 + 22*k**2 - 10*k - 9. Let d be g(21). Let l = v + d. Which is the nearest to l? (a) -1\/9 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19365776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 times -61\nAnswer: -9.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 53c1 - 3?\nAnswer: 53bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51)\/24 - -2 - 847\/968?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 1:45 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1279684.\nAnswer: 2, 7, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -84625522, -84625520, -84625518, -84625516, -84625514, -84625512?\n\"Answer: 2*h - 84625524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 5 = -3*k - 2*k, w + 3*k - 1 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 7*f**4\/6 + 25*f. Let l(a) = 3*a. What is o(l(c))?\nAnswer: 126*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/209 - 6\/(-57). Solve 5*b = -t - 14, f = 5*b - 8*b + 2*t - 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -312*j + 3003. What is t(10)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + (-45)\/6)\/((-6)\/(-8)). Let z be ((-2)\/(-12))\/(w\/(-105)). Let q be (-2 - -4) + (1 - 0). Sort -4, z, q in ascending order.\nAnswer: -4, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33165 + (-10 - -2 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 9*y - 13 = -4*w, 47 = -y - 48*w + 98*w for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -7 - 4 - z + 11. Let j(q) = 21*q**2 + 49. Let t(h) = 4*h**2 - 3*h**2 - 3*h**2 - 5. Let r(w) = 5*j(w) + 49*t(w). What is a(r(c))?\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 0 + 14*x + 0. Let q(y) = 2*y. Determine q(b(l)).\nAnswer: 28*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 72886, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/80 and -75\/176?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 2*k + 2*k - 23, 0 = -5*v - 15. Let z(c) = 949*c**3 - 2*c**2 + c - 2*c**2 + 2*c**k - 958*c**3. Calculate z(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 9:31 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 102\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8245179?\nAnswer: 3, 305377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.04745 - -0.05255. Let t be (-2 - (-11)\/6) + -4. Sort 5, f, 0.3, t in decreasing order.\nAnswer: 5, 0.3, f, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5859083*r**6 + 2564755*r**2 + r.\nAnswer: -703089960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-392)\/(-336) + 3\/(-6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1881 + -1765. Calculate the highest common factor of t and 493.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u + 0*u + u**2 + 0*u. Let g(l) = 9*l**2 - 22*l + 2*l**3 - l**2 - 21*l**2 - 9*l**2. Let i = 1053 + -1009. Determine i*y(h) + 2*g(h).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 11 + 14*k**3 - 18*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1872487*u - 294190 wrt u?\nAnswer: -1872487","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6) + -20*(-3)\/72?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -297 - -350 - (-2 + -1 + 0 + 1 + -2)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/8)\/(((-9)\/12)\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-686)*-7)\/((-24)\/14)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4650 + -1387. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lbldabflaalllaafbl. What is prob of sequence llab?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2\/3 - 32113*n\/3 + 1502684 = 0. What is n?\nAnswer: 141, 31972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -14*a + 1. Let x(m) = -m + 1. Let o(l) = 2*p(l) - 2*x(l). Let r be o(8). Is 2\/(-3 + r\/(-68)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 18482, 18432, 18380, 18326, 18270, 18212?\n\"Answer: -k**2 - 47*k + 18530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/22 and 149\/594978.\nAnswer: 6544758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/14 - 435\/126. Suppose 20*i + 20*i + 80 = 0. Is i at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -76 - -138. Suppose 5*h = l + s, -2*l + 6 = h - 13. Suppose -a = -8 - h. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**2\/11 - 98928458*c\/11 + 197856908\/11 = 0. Calculate c.\nAnswer: 2, 49464227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*g - 22, 0 - 9 = -3*g + 2*a. Suppose 2*k = -4*s + 70, g*s - 2*k + 29 = 121. Calculate the greatest common divisor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 31448955?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-57)\/24*8\/(-12)*6. Sort -4, q, -0.2.\nAnswer: -4, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -166 - -151. Let f be ((-276)\/m)\/4 - 4\/(-10). Solve -9 = 3*l, -2*o + l = f*l + 10 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvv when three letters picked without replacement from vvvvvvvvvvvhvv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 23433. Let o(x) = 200*x. What is l(o(h))?\nAnswer: -200*h - 23433","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021022221 + -1010110?\nAnswer: -1022110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*q**4 + 7*q - 2*q**4 - 3*q**2 - 28*q - 26 + 27 - 2*q**3 to the form z + a*q**2 + k*q**4 + l*q**3 + r*q and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36086221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 58743, 117490, 176237, 234984, 293731, 352478?\n\"Answer: 58747*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -29979.11 and 0.2.\nAnswer: -29978.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.87487 to 3 dps.\nAnswer: 0.875","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2623*c + 63733 = -690*c + 1655*c - 15203 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 10*f - 7. Let k(t) = -t - 4. Let d be k(3). Let l(n) be the first derivative of 2*n + 7 - 3\/2*n**2. Give d*l(u) - 2*h(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/((-15)\/18))\/((-8)\/1).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 218914*u**5*x + u**3*x**3 + 2*u*x**2 - 2*x**3 - 58007 wrt u.\nAnswer: 4378280*u**3*x + 6*u*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 3:22 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13228 - 13048. What is the fourth smallest value in -4, -2\/9, y, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b + b**2 - 7*b + 0*b**2 - 2. Suppose 0 = -2*n + 5*n - 60. Suppose -5*d + 2*s + 16 = 0, 3*d + 5*s - n = s. Determine j(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -1\/3 (c) 3 (d) 0.1 (e) 11077 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/2280 and -10\/39.\nAnswer: 29640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = x + 6. Let a = x + 29. Calculate the highest common factor of 16 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -4 (b) -2 (c) -3\/14 (d) -0.31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 2. Let t(n) = 2*n**3 + 4*n**2 + 2*n - 1. Let w be t(-2). What is the units digit of c(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1, 49, 183, 443, 871, 1509, 2399, 3583?\n\"Answer: 7*i**3 + i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(k + 2 - 3*k - 1) + (-2 + 2 - 1)*(k - 2 + 2) + 1 - 1 - 2*k - 2*k + 0*k + 3*k + 1609580 - 1609580 - 914*k.\nAnswer: -914*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -16 + 30 + 5 + -19. Solve 28 = -7*o - a for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - v + 2. Let o be p(-3). Let i = -3 - o. Suppose 3*n + 2 + i = 4*b, -2*b = -5*n + 9. Let l(h) = -3*h + 2. Give l(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 48 - 20?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 1 + 17 + 595*z as n + p*z and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10159110 and 3990?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0*i - j + 20, 5*j - 20 = 0. Solve -2*p + n = 4*n + 2, 4*n = -i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16026\/(16\/40*15)?\nAnswer: 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (160\/(-55) - (-2 + -1))*156\/39?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34854450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 102379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 8963318181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 1. Let u be (7\/(-14))\/((-2)\/4). Let m = u - 0. Let d(p) = -p. Let r(b) = -6*b - 1. Let w(v) = 3*d(v) - r(v). Determine m*w(l) + 2*f(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 349860 divided by -4998.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 10 = 2*r, -16 = -4*r + 2*r + 4*u. Let n(l) = l - r*l - 3 + 2. Let q = 15 - 11. Calculate n(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -344, -503, -768, -1139, -1616, -2199, -2888?\n\"Answer: -53*q**2 - 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 23 = -c, 0 = 4*l + 3*c - 28 - 1. Let k(r) = -5*r + 3 + l + 0. Let z(j) = 146 - 11*j - 70 - 59. Give -13*k(q) + 6*z(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 12*t + 504. Calculate w(-42).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2571\/99 - 11\/(-363).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 3*l + 40, -4*l = -0*w + w - 25. Let q be (4 + -6)\/(2\/w). What are the prime factors of (3 + -4)\/(1\/q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5190112.\nAnswer: 2, 59, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 143 and 344916.\nAnswer: 344916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*n + 18*n + 88 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuu when three letters picked without replacement from uuuuuuuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(2\/39)*n))**(10\/7) assuming n is positive.\nAnswer: n**(-20\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 7*u + 2. Let i(o) = -13*o - 3. Let j be (-2)\/12 - 134\/(-12). Let b(z) = j*r(z) + 6*i(z). Give b(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9690 - 5e?\nAnswer: -96ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 251 + -246. Let c(p) be the third derivative of 0*p**6 + 2*p**2 + 1\/210*p**7 + 0*p**4 + 0*p + 0*p**3 - 1\/60*p**j + 0. Factor c(f).\nAnswer: f**2*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23235298 or -23235318?\nAnswer: -23235318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 3\/4, 621?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 9593927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6357*c + 82641. Determine i(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a158 + 4?\nAnswer: a15c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001010 (base 2) to base 12.\nAnswer: b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*l + 65*l - 558*l + 70*l + 347*l.\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 174.85 - 53.81. Round w to the nearest integer.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 205 * 4.1.\nAnswer: 840.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17126906 by 30.\nAnswer: -8563453\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 4, 1 in decreasing order.\nAnswer: 16, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -173\/14 - -69\/7. What is the second smallest value in m, 36, -0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76 + -39. Let r be 3 - (-1)\/(1\/b). What is the highest common factor of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = s, d = 10*s - 7045 + 22354. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 865.9 - 866. Which is the biggest value? (a) t (b) -6 (c) -1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p - 1. Let s(z) = z. Let w(j) = -4*h(j) - 5*s(j). Let t(f) = -f**2 - 16*f - 21. Let a be t(-15). Calculate the remainder when 29 is divided by w(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208641 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3*k. Suppose r - 10 = -3*x, -5*x - 2 = -r - k*r. What is the highest common factor of 63 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 2*b**2 - b + 1. Let a be t(-2). Let q be 6\/12 - (-150)\/4. Suppose a*z + 5*r - 15 = 37, -4*r + q = 2*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qw when two letters picked without replacement from {r: 2, l: 1, w: 1, q: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5161665, 10323306, 15484933, 20646540, 25808121?\nAnswer: 30969670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8795, 8788, 8783, 8780, 8779?\nAnswer: 8780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21.6 + 17.7. Which is the biggest value? (a) -0.3 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38.99029763 + 38.99. Round u to 5 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8871 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) 5 (b) 6\/11 (c) 1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from rgrrgr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 13 = 5*q, b + 11 = 3*q - 1. Let v(z) = b - 25 + 18 + 31 - 2*z. Let u(i) = -7*i**2. What is v(u(y))?\nAnswer: 14*y**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1086?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q**2 - 2*q - 11. Let m(k) = -k**2 + k. Let g(b) = l(b) + 2*m(b). What is the first derivative of g(h) wrt h?\nAnswer: -14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/11 - 512\/(-88)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - n - 31*n**3.\nAnswer: -31*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - 3*r + 0*r)*(4193 - 1941 - 2056 - 1772).\nAnswer: 4728*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 5*u + 3. Let q be j(5). Suppose q*m = -4*w + 16, -3*m - 3*w = -w - 8. Solve m = -o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 PM and 3:31 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -354, -1777, -4138, -7431, -11650, -16789, -22842, -29803?\n\"Answer: m**3 - 475*m**2 - 5*m + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19321*z**5\/2 - 2530495*z**4\/2 + 1311602*z**3 - 36958*z**2 + 264*z = 0. Calculate z.\nAnswer: -132, 0, 2\/139, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 45*r - 185. Determine v(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 8:54 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 167000 to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ouooutoutott. Give prob of picking 2 u.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v - 6. Let i be t(-6). What is the greatest common factor of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 x, and 1 e when four letters picked without replacement from uduuuxdxez?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 5:12 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 3, 1, -2\/37?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-26) - (1653576\/39)\/(-8)*2.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172428635 to the power of 1\/2, to the nearest integer?\nAnswer: 13131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*p + 85*p = -2162. Calculate the greatest common divisor of p and 598.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -222 - -334. Let q = -107 + t. Solve q*p - 2 = 18 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11836236?\nAnswer: 2, 3, 239, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + -27. Let q be (2\/(-4))\/((1419\/(-44))\/43). Which is the second biggest value? (a) x (b) -0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 7:58 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2607785 to the power of 1\/2, to the nearest integer?\nAnswer: 1615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - -34. Let v = w - 44. Find the common denominator of -21\/10 and 2\/v - (0 - 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 5*f**2 - f - 1. Let c be l(3). Suppose -p = -c - 0. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43360 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n + 39*n - 31 - 29 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*90\/9*(-3)\/(-18). Let j(s) = -s**3 - 4*s**2 + s + 12. Let k(o) = -2*o**3 - 3*o**2 + o + 12. Let l(c) = 3*j(c) - 2*k(c). Give l(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4185*x**2 + 4205*x - 1. Give i(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -4*s + 12, 5*s + x - 36 = 5*x. Suppose 0*v - 8 = -s*v. Suppose -5*u - 497000 = v*u. Round u to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 20 = -g, -67*x = 3*g - 63*x + 16 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/6 - 2432*x\/3 + 2957312\/3.\nAnswer: (x - 2432)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -4, 59 in descending order.\nAnswer: 59, 38, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -566867173, -566867172, -566867171, -566867170?\n\"Answer: r - 566867174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 59*t**2 - 7*t + 11. Is o(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 22 - 14 + 16490*l**2 - 8 - 16492*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (281 + -257) - (-22 + 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - p + 5, 6 = x + 3*p - 9. Let h be 2 + 0\/(-3) + x. Solve -1 + g**3 + 0*g - g - 8*g**2 + 9*g**h = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 238696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000085375 to seven dps.\nAnswer: 0.0000854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.6, 1, -3\/10, -1174 in increasing order.\nAnswer: -1174, -5, -3\/10, 0.6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 - 13?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -1. Suppose 24 = u*b + 2*b. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7854*g - 825. What is f(1)?\nAnswer: 7029","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -366 - -354. Which is the smallest value? (a) 2 (b) -13 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1 + (2 - 1 + 1)*(4 + 1 - 3) - 1 - 4 + 4 + 2 + 3 - 6 + (5 - 2 - 1)*(1 - 2 + 0))*(5 + b**5 - 5).\nAnswer: 2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*3\/105*8225\/1175.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -638*g**2 + 321*g**2 - g + 315 + 98 + 321*g**2.\nAnswer: 4*g**2 - g + 413","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 87*c + 8. Let b(t) = 86*t + 7. Let w(a) = -6*b(a) + 5*h(a). Let s be w(-3). Let r = s + -133. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -85537, -85492, -85447?\n\"Answer: 45*g - 85582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11085797, -22171595, -33257393?\nAnswer: -44343191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -377, -964, -1661, -2468?\n\"Answer: -55*u**2 - 422*u + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -13. Let i(d) = d - 2. Calculate the lowest common multiple of 12 and i(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, o: 2, q: 2, j: 4}. Give prob of sequence xj.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 - 54.00067. Round i to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24044548505 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + i - 701 = 0, 2*a - 2*i = 60 + 394. What is the greatest common divisor of 1102 and a?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) 25501 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 98669, 98672, 98675, 98678, 98681?\n\"Answer: 3*z + 98666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 30 = -14. Solve 0 = f*p - 3 + 23 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k. Let q(u) = 39*u**2 - 4*u. Let m(c) = 1519*c**2 - 155*c. Let b(d) = -4*m(d) + 155*q(d). Calculate b(h(r)).\nAnswer: -124*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-48)\/(-2)*(-6)\/(-12) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9*(-6 - -7) - -14. Suppose -3*l - w = -0*l - 2, 4*l - 5*w - 9 = 0. Sort l, -1, q in ascending order.\nAnswer: -1, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g. Let x(a) = a + 1. Let r(f) = -3*f - 4. Let j(o) = -r(o) - 4*x(o). Let w(t) = -5*j(t) - z(t). Let u(c) = -13*c**2. Determine u(w(l)).\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13622 - 599317\/44. What is the common denominator of -119\/20 and j?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -26*n**2. Let j(u) = -1. Let z(i) = -i + i + 3*i + 3 - 3*i + 5*i. Let l(q) = 6*j(q) + 2*z(q). What is c(l(v))?\nAnswer: -2600*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/68 and 113\/714?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 42722017 a multiple of 295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(2*sqrt(308) - sqrt(308)))\/((sqrt(70)*-2)\/sqrt(10)))\/((sqrt(384)\/sqrt(72) + sqrt(48))\/(-3*sqrt(12)*-1))*-6.\nAnswer: 27*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 3*g + g)*((2 - 5 + 4)*(2*g - 4*g + 0*g) + (0 - 6 + 4)*(-3*g + 2*g + 3*g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j + 4. Let p be y(3). Calculate the remainder when 55 is divided by (-38)\/(p*(0 - -1)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(468) - (1 + sqrt(468) + 1)))*5 + 3*sqrt(208)*-2 + sqrt(91)\/((sqrt(105)\/sqrt(3))\/sqrt(5)))**2.\nAnswer: 920*sqrt(13) + 7277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 13*m - 39. Let o be s(5). Sort 116, 2, 5, o in ascending order.\nAnswer: o, 2, 5, 116","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -344 in -3\/2, 0.3, 1\/9?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o + 14. Let k be j(7). Let s be ((-30)\/(-9))\/(k\/(-21)). Let r(q) = -q**3 - 12*q**2 - 22*q - 9. What is the lowest common multiple of 10 and r(s)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 827929 * -0.41.\nAnswer: -339450.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 5*y**2 - 4*y + 3. Let s be z(-4). Suppose -4 = -s*q + 2*x - 4*x, 3*q + 3*x = 0. Factor q*j**2 + 7*j**3 + j**2 - 3*j**2.\nAnswer: j**2*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - i. Let o(z) = -4*z**3 - 7*z - 3. Let h be (1\/1)\/(-3 + (-2 - -4)). Suppose 4*q = -5*k + 46, -5*k + 20 = q - 14. Determine h*o(n) + k*b(n).\nAnswer: -2*n**3 + n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((275\/15)\/11).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73283 - -73277. Let c be (-4)\/(-6)*(-12)\/2. Sort c, 5, h in ascending order.\nAnswer: h, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -70 and -1.564747.\nAnswer: 109.53229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 9489855?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*b + 31*b - 5*k = 3225, 4*b + 4*k - 4332 = 0. 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 q(g) be the second derivative of 0 + 4*g + 2\/3*g**3 + 0*g**2. Let z(w) = 3*w**2. What is q(z(y))?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 3*h - 4. Let s be m(-4). Suppose 4 = -s*v + 4*v. Let d(g) = -2*g. Let j(c) = -3*c. Let x(y) = 5*d(y) - 3*j(y). Determine x(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = q + 56. Let n be (-256)\/q - (-4)\/(-14). Let f = 1 + 26. Calculate the highest common factor of f and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -1218, 24.7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/1570 and 39\/6785?\nAnswer: 2130490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 28446?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30240 and 11559888?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/12 - 5567*x\/6 - 30991489\/12.\nAnswer: -(x + 5567)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, i: 1, k: 2, a: 1, x: 2, c: 1}. Give prob of sequence kx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 274194*l**4 - 814*l + 20?\nAnswer: 3290328*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(98) - 1*sqrt(98) - sqrt(98))**2.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 320264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + 4.2. Let k = 13 - 17. Let q = 4 + k. What is the closest to -0.4 in q, n, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96770111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 26*o**2 - 264*o - 88. What is c(11)?\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460976?\nAnswer: 2, 47, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (10 - 225\/54)*(-90)\/(-112) and 41\/3696.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 10. Is 25 a factor of r\/2 + (-645)\/(-6) + -6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 1\/15*s**6 + 5\/2*s**2 + 24*s + 0*s**4 + 23\/20*s**5 + 1\/2*s**3 + 0. What is the second derivative of o(i) wrt i?\nAnswer: 24*i**2 + 138*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/11 (b) 1.3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/2)\/((-2)\/(-60)). Suppose 2*m + 188 = 6*m. Let a = m - 32. Calculate the greatest common divisor of t and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54577565 smaller than -54577564?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -23\/3 (b) -629 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.75 + -5.45. What is the smallest value in v, -4\/5, 0.5, 15?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*h**2\/3 - 313*h\/3 - 30.\nAnswer: (h - 45)*(7*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14049*v + l - 12 = -14048*v, 0 = v - 0*v - 5*l + 48 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/2)\/(((-36)\/(-12))\/3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeezzeeeee. Give prob of picking 2 z.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, t: 10, u: 5}. Give prob of sequence tu.\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*g - 3395*g = -235179 for g.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 92, -1, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 33?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 643 - 297. Let u be x\/(-238) - (-10)\/(-85). Let t = 29\/14 + u. Which is greater: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*f - 27, -f - 63 = -5*f + 5*w. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + 111010?\nAnswer: 1000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/3 of a century in months?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 + -15 + 10 - 126) + (-52 - -43).\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -18 + 1*6\/2. Let i = f + 15. Suppose i = 3*n - n - 4. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-1)*q))**24\/(q**(-2\/11)\/(q*q**(2\/23)\/q*q*q)) assuming q is positive.\nAnswer: q**(6646\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 608.\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20034 and 14310?\nAnswer: 100170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -18 + (48 - (-137 - -136))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11505 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 i when two letters picked without replacement from iciffqfqyhyq?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -10*o**2 + 51*o - 4. Calculate w(3).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 1:54 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23\/3 - -8. Suppose 583*f - 633*f = -100. Suppose -b = -0*b + 4. What is the smallest value in b, 4, y, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/2457 and -31\/5265?\nAnswer: 36855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 10:00 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**2 - 14*z - 25. Calculate the remainder when 214 is divided by b(-3).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*k - 20*k + 372. List the prime factors of k.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9214, -32947, -72510, -127909, -199150?\n\"Answer: -z**3 - 7909*z**2 + z - 1305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4447530 divided by 49?\nAnswer: -4447530\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**2 + k**2 + 4*k**2 - k**2 + k + k**2 - k**3. Give r(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 12.443\nAnswer: 49.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + 576. What are the prime factors of r?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 72, 187, 390, 711?\nAnswer: 1180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 0 - 6 = 0. Let i(o) = -o**2 + 5*o + 5. Let p be i(5). Suppose q - w - p = 0, q - 4*w = -2*w + 8. Is z less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 224, 4, 0, 1324 in ascending order.\nAnswer: 0, 4, 5, 224, 1324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**4\/2 - 4*n**3 - 133*n**2\/2 + 220*n - 150 = 0. Calculate n.\nAnswer: -10, 1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 5*c**2 - 2*c - 6. Let d be q(-5). Suppose m = -d*m + 1705. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69942121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -18. Which is the closest to 1\/2? (a) 4\/7 (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.024 in -2\/19, -0.7, 0.5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 133 divided by 24\nAnswer: 133\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 77228, 77241, 77254, 77267, 77280?\n\"Answer: 13*x + 77215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-10)\/7 - (-4712)\/3906) + 292\/18 and 22896.\nAnswer: 22896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 - 6*y**2 + 4*y**2 + 3*y**2 + 0*y**2 - y**2 + (-y + 3*y - y)*(2 + 2*y - 2) - y**2 - y**2 + 3*y**2 - 5*y as q + l*y + z*y**2 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-6)*147*16\/448*-8\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebynebnnnq. Give prob of sequence eyne.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1111 + -770. Let j be -3 - (-3 + 6 + -26). Suppose 4*x - j = 0, -5*q + 3*q - 3*x + 77 = 0. What is the highest common divisor of q and n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -209640915 divided by 5.\nAnswer: -41928183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*g + 3*g - 12, 0 = 5*l - 3*g - 19. Let r be (-8)\/l + 6\/(-15). Sort r, -3, -5 in ascending order.\nAnswer: -5, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 3*(4*1*sqrt(204))\/sqrt(12) + -1.\nAnswer: -1 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 10*s**2 + 8*s + 19. Calculate u(-11).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -5, -4\/5, -293, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1129 + 1128.894. Which is the second biggest value? (a) -0.2 (b) g (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/3 of a day in minutes?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 4*i - 220. Let a = -12 + i. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143 and 130?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020 divided by -204?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 793310.1 months in decades?\nAnswer: 6610.9175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 29 (b) -1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 9. Let k = 6 + t. Solve k*q = 3*q - 1, 4*p + 4*q = -8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 24*m + 1. Let s be z(7). Let t = s - 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(60)\/sqrt(3) - sqrt(20))*-3)**2 + 4)*-1.\nAnswer: -724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1188 - -1187. Which is the nearest to s? (a) -0.4 (b) 0.2 (c) 2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 17.6. Let o = 0.8 + -2.8. Let m = 5.26 - 1.26. What is the closest to m in 3, o, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 161, 110, -153, -622, -1291, -2154, -3205, -4438?\n\"Answer: n**3 - 112*n**2 + 278*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21.3 - -20. Let d = 149.8 - 151. Let x = l - d. What is the second smallest value in x, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 46*t**2 - 116*t - 713. Is r(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 1, 5, -1, -3489, -5 in descending order.\nAnswer: 5, 3, 1, -1, -3, -5, -3489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1917, 2847, 3777, 4707?\n\"Answer: 930*o + 987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 n when two letters picked without replacement from {u: 2, n: 11, f: 1}.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhe when three letters picked without replacement from hehme.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/3 + 17\/3. Let h(k) = -2*k - i + k - 2*k. What are the prime factors of h(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((4 + sqrt(1700)*2*2)*-5 + 0)**2.\nAnswer: 8000*sqrt(17) + 680397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 712\/88 - (-3)\/(-33).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 10:37 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.83024 rounded to 1 decimal place?\nAnswer: -17.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15500 by -500.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/15)\/(6*(-1)\/(-12))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 2*q - 9, 3*q + 2*p + 7 = 17 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -1110000111111110010101000?\nAnswer: 1110000111111110010101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (211 - 152 + 170)*(-3*n + 2*n + 2*n) to v + c*n and give c.\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5440 is divided by 1858.\nAnswer: 1724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*m - 3*n, 76*m - n + 5 = 75*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 7531*p + 195809. Give t(-26).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -79*g + 64*g. Let l = -0.97 + 0.9. Let d = l - -0.08. Sort -4\/5, g, d in ascending order.\nAnswer: g, -4\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -329003 less than or equal to -329003?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.35 + -0.05. Let n(u) = -u**3 + 3*u**2 + 2*u + 3. Let w be n(4). What is the biggest value in 2\/11, w, y?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -388 and -0.10672193.\nAnswer: -388.10672193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3203 + -3184. Sort t, 6, 5 in decreasing order.\nAnswer: t, 6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 - 10 + 31*l**4 - 9 - 29*l**4 - 2*l**2 to j*l**3 + a*l + k + p*l**4 + d*l**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 10:35 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -105258*c*r**2 + 307*c*r + 115*c - 290*r**5 - 119*r - 2 wrt r.\nAnswer: -210516*c - 5800*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.106824 - 104.10673. Let q = -10.2 + 102.2. Let f = t + q. What is f rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q - 7. Let r = 222 - 189. Let c(o) = 28 + 6 - r. What is -6*c(l) - k(l)?\nAnswer: -4*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -22926*7\/(-77) - 4\/22.\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**19\/g**(-6\/11))**(2\/17) assuming g is positive.\nAnswer: g**(430\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -12*w + 10. Let j(u) = -1. Let d(o) = -o**3 - 4*o**2 + 6*o + 4. Let g be d(-5). Let y(n) = g*j(n) + c(n). Differentiate y(f) with respect to f.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -4*x - 10, x - 5*m = -7 - 7. Let k be x\/8 - (-1400970)\/4. Let z = 50242 - k. What is z rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/10)\/2)\/((-3)\/6)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6.03, 2, -2.2, -16\/25, -2\/3 in ascending order.\nAnswer: -2.2, -2\/3, -16\/25, 2, 4, 6.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 41*i = 20*i - 2400. Solve -i*s - 26 = -35*s + 4*c, -18 = s + 4*c for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d - 952 + 144. List the prime factors of d.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 8 - 4) + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 6. Let g(y) = -9*y + 5. Let b(o) = 2*o - 1. Let d(s) = 5*b(s) + g(s). Give d(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w + 5 = -13*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 48 = 24. Suppose 0 = 9*m - 7*m - z. Let w = -15 + m. Solve -w*s + 2*s = -5 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12091 greater than -12094?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 + -18. Suppose -5*i + 169 + 426 = 0. Let t = a + i. What are the prime factors of t?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68096\/3584 - -6*2612\/(-824).\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 243*r + 195*r - 145 + 4*r**2 - 78 + 3 = 0.\nAnswer: -110, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - y = -6. Let i = -1 - y. Suppose i*r = 5*t + 5, 3*r + 3 = -4*t - 1. Solve 0 = -n - r - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23639 and 385.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 462371000 times -0.5?\nAnswer: -231185500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 22 + 32. Suppose -40 = -4*t + r*t. Which is the third smallest value? (a) -0.3 (b) 1\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2121431 (base 7) in base 16?\nAnswer: 3edbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6 + 151)*(-135)\/(-25). What is the greatest common divisor of 27 and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 210 - 186. Let i = 15 + d. Is -0.4 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1033307620 divided by 4\nAnswer: 258326905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n - 10. Let w(z) = -z**2 + 3*z + 10. Let b be w(7). Let v = 10 + b. Let i be g(v). Which is smaller: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 300*(-21)\/(-504)*2?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + m + 117. Suppose 5*b + 1 = 4*s, -2*s + 141*b = 143*b + 40. What is z(s)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3222.03 times -0.5?\nAnswer: 1611.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -284 divided by 1.\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -8, 0.4, -0.1 in ascending order.\nAnswer: -17, -8, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3086 = 12*v - 2978 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 154 and 6751591?\nAnswer: 13503182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 553 and 75392149?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (139 - 153) + (25 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29480*x**3 + 3626*x**3 - 26632*x**3 + 2*x.\nAnswer: -52486*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*q + 4 - 49*q - 2)*(-q + 2*q + 2*q - 1).\nAnswer: 24*q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-9))\/((-236)\/2537*2\/(-8)).\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 5*q**2 + 7*q + 8. Let t be h(-6). Is (-1)\/(1*t\/(-18)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -11*g - 15, 0 = 77*i - 80*i - 3*g + 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2245 - -14253515?\nAnswer: 14251230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 - 3 + 3 + (b - 5*b - 4*b)*(b - 7*b - 8*b) as z*b**2 + x + v*b and give z.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 - x + 1)*(561 + 145 - 28 - 6 + 3 + 1 + (-5 + 5 - 2)*(4 - 1 - 1) + 0 - 3 + 5) in the form j*x + k and give k.\nAnswer: -674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 944299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 6. Let b be z(-9). Suppose 4*u = -5*x - 7 + 2, 4*x - b*u = -35. Let m = -1 - x. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j = 3*j + 44. Suppose 5*w = -j*x - 3128, 5*w + 2*x + 36 + 3088 = 0. Let d = w + 1105. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201877 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 21. Find the common denominator of (388\/(-440))\/(i\/25) and 18\/2 + 3515\/(-532).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 371153423 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -262 and -4.58.\nAnswer: 1199.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 13. Suppose -z*k = -k - 20. Suppose 3*s - 2*x - 6 = 0, 4*s + 5*x - 4 = k. Solve s*l - 1 = -5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 n when three letters picked without replacement from npnnqppnnnnnp?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(133) + sqrt(133))\/sqrt(7) + 5.\nAnswer: 5 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 359.5675s to nanoseconds.\nAnswer: 359567500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -870 in 2\/123, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-491)\/315 + 6\/15 and 10\/140 - (-22)\/(-21)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005093 to six dps.\nAnswer: -0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1290, 136, -17, -1, -5 in descending order.\nAnswer: 1290, 136, -1, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (-4 - 0)\/2. Suppose 0 = w*u + 4, -4*i + 0*u + 116 = -4*u. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21267110*r**6 - 2*r**2 - 2*r + 274731 wrt r.\nAnswer: 2552053200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 - -101. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -130 - -130. Solve z = -3*k - k - 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21034416 > -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -66 - 12*g - 6\/11*g**2 = 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -13, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.390273m to centimeters.\nAnswer: 939.0273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -14. What is the biggest value in n, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 104*j**4 + 10688*j**3 + 294*j**2 + 2*j + 3657?\nAnswer: 2496*j + 64128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22191)\/(-143) - 4\/22. What is the highest common factor of 62 and q?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**3 + 1054*n**2 - 233*n.\nAnswer: 12*n + 2108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a tonne in kilograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-92)\/3024 - 93\/(-124)) + 4\/(-7).\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 plus 563935?\nAnswer: 563901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 43611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1477575 is divided by 77.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 6*v**2 - 12*v - 9. Is j(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25205160.\nAnswer: 2, 3, 5, 41, 47, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00095022209 rounded to five dps?\nAnswer: -0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1138 divided by -17286\nAnswer: -569\/8643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 7803336240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.431 + 1.731. Let x = -3.05 - 0.05. Let u = x + 0.1. What is the nearest to -0.1 in u, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 616275*l**2 + 6*l**3 - 616275*l**2.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17857309?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 4. Let z be v(-3). Suppose -3 = -2*s + 13. Let g(p) = -7*p + 3*p**2 - p - 10*p**2 + 1 + s*p**2. Give g(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 138 in descending order.\nAnswer: 138, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**2 - 42942*t - 644805 = 0.\nAnswer: -15, 14329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 105 + -98. Suppose -453 = c*w - 145. Are w and -43 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, l: 7, p: 5, x: 1, g: 2}. What is prob of picking 1 w and 1 g?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*((-32)\/(-3840))\/(30\/24)?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 359*c + 360*c - 11.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -532\/634041?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92603490, -185206981, -277810472?\nAnswer: -370413963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -13 + 1. Suppose 3*q + 8 = c*r + r, 0 = q + r. Which is greater: -1\/17 or q?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 10*i - 17. Let k be l(13). What is the greatest common divisor of 11 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/1715615 and 43\/467895.\nAnswer: 5146845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7693947 to the nearest integer?\nAnswer: 2774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 10:33 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100862?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 15*k + 43. What is p(-11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, y: 5}. What is prob of sequence hyyy?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from {l: 4, m: 15}?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 622864582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 9) to base 13.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 526001 is divided by 88?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1288, 6, 0.307 in increasing order.\nAnswer: -1288, 0.307, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmt when three letters picked without replacement from mmtmllmlllltmlmllll?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -156 - -186. Suppose 0 = -20*v + o*v - 40. Calculate the lowest common multiple of v and 49.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0)**(-2\/35)\/(r\/(r\/(r**1\/r)))**(15\/8) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4079 or -3?\nAnswer: 4079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24956 by -367.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 974714644 to the nearest integer?\nAnswer: 991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**3 + 4*i**3 + 2*i**3)*(2 + 1 - 1) + (-i**2 + 2*i**2 + i**2)*(214*i - 206*i + 107*i) + i - i**3 - i.\nAnswer: 235*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1724)\/3448*4\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1412*j**3*y**2 - j**3*y - 4*j*y - 1 wrt y.\nAnswer: 2824*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 4*b - 2. Suppose -2*n + 5*g = 3*g + 4, 9 = -2*n - 3*g. Let x be f(n). Suppose 19 = 5*c - x. Calculate the remainder when 5 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -299*d = -161*d - 182*d + 2024 for d.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 198 - 193. Let p(k) = 60120*k**2 - k + 5. Let n be p(x). Round n to the nearest 10000.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j - 32. Let b be f(6). Let l be (-16)\/(-8) - 22\/6. Which is greater: l or b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 0.4, 27, -1 in increasing order.\nAnswer: -2, -1, 0.4, 4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8879 a factor of 64038021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 299, -7, 2, -5 in decreasing order.\nAnswer: 299, 2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/18*(-414)\/(-46). Solve -2*u + b*f = 14, -2*f = -4*u - f for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = u - 12. Let h = -1 + 0. Let q = u - h. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 1)*(4*y + 2 - 2)*(1 + 2 + 9 + (-3 + 1 + 1)*(0 - 5 + 3)) to l*y + f and give l.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(33)\/sqrt(3)*-5*5)**2.\nAnswer: -50*sqrt(11) + 6876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6400 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -777410 and 2.\nAnswer: -1554820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-54)\/(-7) - 0 - (-4)\/14. Solve -i*u - 5 = 27 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244330*a + 241*a**3 - 244330*a - 33*a**3 + 708*a**3 + 138*a**3.\nAnswer: 1054*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50136938 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45 or -179\/4?\nAnswer: -179\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5666 take away 359708.228?\nAnswer: -365374.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319*v + 6 = 316*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, x: 1, j: 2, y: 1, s: 1, b: 1}. What is prob of picking 1 x, 1 p, and 1 y?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + sqrt(114) + (sqrt(114)*2 + sqrt(114))*-1 - sqrt(114))\/(sqrt(6) - (1*sqrt(24) + sqrt(24))))**2.\nAnswer: 76\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -97383.\nAnswer: -97385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34 - 17. Let n = t - 10. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.027088 to three decimal places.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -6*t**3 - 478*t**2 + 161*t + 46. Calculate l(-80).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 0*i - 3 - 3\/2*i**2 + 0*i**3 + 1\/2*i**4. Find the second derivative of p(w) wrt w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bzwks. What is prob of sequence zkw?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + 1.3. Let k = m + -1.5. What is the nearest to -0.1 in k, -5, 9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 637, 645, 661, 685, 717, 757, 805?\n\"Answer: 4*r**2 - 4*r + 637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 98 + -36. Let v = 62.000003 - c. Round v to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 3*m - 132. Calculate the highest common factor of m and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(13)*-3)**2 + (1*sqrt(13))**2 + 3.\nAnswer: 1069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/1976 and -83\/8816?\nAnswer: 114608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -3720438400 to the nearest one million.\nAnswer: -3720000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**3 + 7*q - 13. Let u be y(2). Suppose -1104 = -u*n + 4880. Does 44 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(36\/(-15))*(-6)\/30. Which is smaller: i or 51?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -96*c - 31*c + 32*c + 17 - 17 - c + (3*c + 0*c - 4*c)*(-1 - 2 + 1) + c - 2 + 2.\nAnswer: -93*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -232 + 13\/(26\/(-8)). Let g = j - -260. What is the least common multiple of g and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*s**2 - s**3 - 3*s**4 - 2*s + 7*s**2 + 5*s**2 in the form h*s**3 + k*s + y + i*s**4 + z*s**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53 + 57 - 31)*(-32*o + 382 - 382).\nAnswer: 864*o","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -175*w**3 - 13*w**2 - 86*w + 17. Let l(j) = 88*j**3 + 6*j**2 + 42*j - 8. Let s(c) = -6*h(c) - 13*l(c). What is the second derivative of s(y) wrt y?\nAnswer: -564*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4\/3 - 4*a**3\/3 + 82*a**2\/3 + 28*a.\nAnswer: -2*a*(a - 6)*(a + 1)*(a + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 385120 a multiple of 415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -3.5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30027 + 30069. Let c(k) be the first derivative of 0*k**2 + 0*k + 1\/5*k**4 + t - 2\/5*k**3 + 2\/25*k**5. Suppose c(n) = 0. What is n?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -198 divided by -9\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -10*g**3 + 62*g**2 - 40*g + 72. Let w(f) = -4*f**3 + 25*f**2 - 16*f + 29. Let m(s) = 5*t(s) - 12*w(s). What are the prime factors of m(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102 + -122?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/320 in -0.289, 3, -9, 4?\nAnswer: -0.289","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(130) + 2*(sqrt(130) - (2*sqrt(130) - sqrt(130)) - sqrt(130)))\/sqrt(10).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14, -20, -26, -32, -38, -44?\n\"Answer: -6*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -a, 4*a - 38 = -3*q - 17 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0022194 to 4 decimal places.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n. Let g(u) = -655*u**2 - u - 20. Give g(r(c)).\nAnswer: -655*c**2 - c - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.319 + 0.029. Let t = 0.35 - v. What is t rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 333 - 1?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (12 - 3 - 3)) + -9 + -2\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -325 - -1a?\nAnswer: -309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 4 = -0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 1044*a + 63. Let k(c) = -17*c - 1. Let p(n) = -189*k(n) - 3*s(n). Let g(x) = -x + 7 - 5 - 2. What is p(g(o))?\nAnswer: -81*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 359586 (b) -4\/11 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 11:44 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*o**2 - 2013 - 15*o**4 + o - 1723 - 835 + 9*o**2 wrt o?\nAnswer: -60*o**3 - 2*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-10)\/(-60)*-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8158453.61991 - 0.\nAnswer: 8158453.61991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/1 + -7)\/1. Solve r + 5*c - 22 = l, -3*r - c = -11 + 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.093 + -193.\nAnswer: -193.093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.772, 1, -2\/13, -5 in descending order.\nAnswer: 1, -2\/13, -0.772, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -879, -3225, -7021, -12261, -18939, -27049, -36585, -47541?\n\"Answer: m**3 - 731*m**2 - 160*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 6*b + 3. Suppose -5 = -2*z + b. Factor 3*u**2 + 4*u**3 - 4*u**2 - 5*u**z.\nAnswer: -u**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - z = -70300. Let t = z - -9940. What is t rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u - 11 - 2*u - 4. Suppose -2*c - 3*x = -3*c + 21, 5*x + 55 = 3*c. What is the smallest common multiple of a(-6) and c?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-110)\/(-40))\/(4\/(-16)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 7*i**2 - 4*i - 12. Suppose -14*p + 15*p = -5. Let t be x(p). Suppose 5*q = 10, f - q = q + t. What are the prime factors of f?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -65 or -126?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -314 + -302870295?\nAnswer: -302870609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -928552*p**3*t + 2*p**2*t + 479*p*t + 2*p + 7*t + 13 wrt p?\nAnswer: -5571312*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -1. Let q = 7 + -3. Let r be (-2 - -3) + q - 3. Is r equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 27*r**2 + r + 1. Let m = 5752 - 5738. Calculate the remainder when g(-1) is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144671.79 seconds in minutes?\nAnswer: 2411.1965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/3 - (-6)\/(-22)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2776763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h**2. Let m(j) = -8*j. What is n(m(x))?\nAnswer: 384*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 6:39 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -6. Let y(q) = -12*q**2 + 3*q + 3. Let a be y(o). Let r = a - -876. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2799 + -155210.\nAnswer: -155209.7201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d - 63 = -19 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s + 3*s - 1 + 2*s. Let p(u) = 2*u - 2. Let l(m) = -11*i(m) + 6*p(m). Let g = 1 - -3. What is l(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2. Let o be j(0). Let p = 9 - o. What is the units digit of (132\/p)\/(4\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 790627.\nAnswer: 29, 137, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 34511400 to the nearest 100000.\nAnswer: 34500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007722 rounded to seven dps?\nAnswer: -0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, i: 2, o: 4}. Give prob of picking 1 o and 2 z.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -y + 5*c, y - 3*c = 2*y + 20. Suppose 3*r - 3*p + 0*p + 3 = 0, p + 7 = 3*r. Let q(m) = m + 5. Let s(n) = n + 4. What is r*q(o) + y*s(o)?\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - n + 10. Let i be y(0). Suppose 0*f + 5*f = i. Let a = -292\/5 - -59. Do f and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(sqrt(8) - sqrt(40)\/sqrt(5)*4))\/(sqrt(45)\/sqrt(81)*-3).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, -79, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2956608 + -0.07?\nAnswer: 2956607.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u\/(u*u\/u**(1\/4)))\/u))\/u**(-11))**7 assuming u is positive.\nAnswer: u**(385\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14657.\nAnswer: 14657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 18 = 2*h. Suppose -3*q = -5*a + 92, 0 = 3*a - 5*a - 4*q + 16. Let r = a - h. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*r**3 - 5*r**3 - 5*r**3 - 11*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 531601 to the nearest integer?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/5 - (-6)\/10. Calculate the common denominator of 125\/18 and -1 + t\/((-204)\/254).\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2726952702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205330.\nAnswer: 2, 5, 20533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 19. Suppose -10 = -2*t - c. Let x be 2 - t\/(-8)*0. What is the second biggest value in -3, -5, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -121 + 183. Suppose -51*c - 4653 = -h*c. What are the prime factors of c?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2882*d - 10238. Is 14 a factor of b(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 45.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21077 + 89309 = -4655*z - 24609 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 7. Suppose -20 = -l*o - 0*o. Factor 0*s**3 + 2\/3*s**2 - 1\/3*s - 2\/3*s**4 + 0 + 1\/3*s**o.\nAnswer: s*(s - 1)**3*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -343621\/22 + 15622. Calculate the common denominator of f and (680\/176 - 2)*(-1)\/2.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3 + 28*w**2 + 1360*w = 0 for w.\nAnswer: -20, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222222302 - 1?\nAnswer: 222222301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 13 + 9)*(-47 - 19*u + 24 + 25) to the form d + n*u and give d.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/4 in -2\/3, 0.2, -2, -3\/73?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -30 + 34 + -2 + 9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, s: 3, x: 3, c: 6, b: 1}. Give prob of picking 2 x, 1 s, and 1 b.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 24862070 rounded to the nearest 100000?\nAnswer: 24900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 11 + 17)*(-5*u + 0*u + 4*u)*(-2 + 3 + 1) as m*u + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42495 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 2, v: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-12\/7)\/c*c*c**(-14)*c*c*c)\/((((c*c**(-3\/7)*c)\/c)\/c*c)\/(c**(-4)\/c)) assuming c is positive.\nAnswer: c**(-128\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 455 - 440. Suppose -r*m + 5624 = -3511. List the prime factors of m.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/2 in 14, -24, -2, 2\/5, -22, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*a, -10*a + 8*a = -f + 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -182038, -179575, -177112, -174649?\n\"Answer: 2463*n - 184501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/12? (a) 4\/7 (b) 2\/7 (c) 149\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59819004?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 8 = 3*g. Suppose 11 = 3*x + 5. Let q be 0 + g\/x - -38. Calculate the greatest common factor of 24 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13\/18 + 845\/126. Find the common denominator of ((-4)\/(-24))\/(7\/166) and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2250988.943812 and 0.5.\nAnswer: -2250988.443812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 1 + 14\/(-98)*21. Let m = -4 - -7. Let j(o) = -12 + m + 13*o - 1. Let a(b) = -4*b + 3. What is l*j(i) - 7*a(i)?\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 bigger than 24533\/13880?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -574, -1149, -1724, -2299, -2874, -3449?\n\"Answer: -575*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 75*p**3 - 118*p**2 + 15*p - 5861. Let j(i) = -38*i**3 + 58*i**2 - 9*i + 2928. Let y(l) = 3*f(l) + 5*j(l). Differentiate y(w) wrt w.\nAnswer: 105*w**2 - 128*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1010 and 4086280?\nAnswer: 412714280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) - ((4 + -2*sqrt(847) - sqrt(847)) + sqrt(847)))**2 - sqrt(847))*-2.\nAnswer: -15278 + 550*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zr when two letters picked without replacement from {r: 2, m: 3, u: 4, z: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5045269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 3*g + 7 = 0, 5*x + g - 4*g = -11 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -42. Suppose -z = -q - 3*q. Suppose 0 = 4*n - q*h - 60, 2*n + h - 4*h - 36 = 0. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**3 - 107*u**2 + 53*u + 13. Determine q(53).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -17*q**2 - q. What is d(1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/4 - 105\/(-12))*44\/8118.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 - 1\/2 + 3\/2*y.\nAnswer: -(y - 1)*(2*y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 7*c**2 + 6*c + 4. Give t(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 11*z**4\/8 - 47*z**3\/3 - 3*z**2 + 14*z. Let s be v(4). Is s > 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106554779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7931, -7940, -7949?\nAnswer: -7958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220222 (base 3) to base 6.\nAnswer: 3042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 56 = -0*m. Let o = -14 - m. Suppose 5*q + 5*k = -11 - o, -3*q + k - 7 = 0. Is q > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84 + 50. Let s = m - -57. Let x = 8 + s. Does 21 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 175*p**3 + 3 + 172*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 6*q. Let k be s(-7). Let p(g) = k - 14 - 2*g + 3. Let a = -36 + 33. What is p(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34031352 (base 6) to base 3\nAnswer: 1221100211012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4*j**3 - 54516*j**2 + 185940300*j - 1298912188 = 0.\nAnswer: 7, 6811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/1 - 9 - 2. Put z, 4, 0, 1 in decreasing order.\nAnswer: 4, 1, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2439991 = -2*u, 6099991 = -5*u - 3*l - 0*l. What is u rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.056 (b) -1\/36 (c) 85\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 16*c**2 - 3*c + 39. Determine a(16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-4)*(-400)\/90*84\/70?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 206 - 146. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2 + -3 - -5)*961605\/612?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 3408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30328, -31636, -32944, -34252, -35560?\n\"Answer: -1308*i - 29020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15 (b) 0.4 (c) -1\/5 (d) -2 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 148.704207541 - -0.295853459. Let y = 149 - p. What is y rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 123859534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40767*l**3*z**2 - l**3 - 5287 with respect to z.\nAnswer: 81534*l**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8543 a factor of 1738355269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((sqrt(99) + (sqrt(99) - (sqrt(99) + (sqrt(99)*1 - sqrt(99)))) + sqrt(99))\/sqrt(9))**2 + -1)*2.\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14734210*k*x - 3*k + 98448415*x wrt k.\nAnswer: -14734210*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13845976, 55383919, 124613824, 221535691, 346149520, 498455311, 678453064?\n\"Answer: 13845981*p**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 237886643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 2*b - b + 58, -3*s - b = -38. Let d be 91\/2 + (-6)\/s. Suppose -5*h - q + d = 0, -q + 5 = 3*h + 4*q. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 15 = -5*c - 1, 2*c + r = 11 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -h + 11, 0 = 5*h - 2*c - 3*c + 5. Suppose -o = h*d + 5 - 16, o + 5*d = 15. Solve -o*n + 5 = 0, 6*g - 3*g + 4*n = -11 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 40 + (80 - 8)\/(-9). What is the highest common factor of 432 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73735 (base 8) to base 10.\nAnswer: 30685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 460 + 466 = 0. Let b(j) be the second derivative of j**4\/12 + j**3\/3 - 3*j**2\/2 + 4*j. Calculate b(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-36)\/(-10) + 752477\/55?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13942*b**3 - 4899*b + 4899*b.\nAnswer: 13942*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 11*p - 7. Let z be b(6). Let m = z - 26. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 - 2a090?\nAnswer: -2a0a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -214 + 217. What is the first derivative of 183 + 43*v**h + 23*v**3 - 95 wrt v?\nAnswer: 198*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3137, 3102, 3067, 3032?\n\"Answer: -35*d + 3172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37819*s**3*z**3 - 348*s**3*z**2 - 6*s**3 - 233262*s**2*z + 26*s**2 wrt z?\nAnswer: 226914*s**3*z - 696*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42*q**4 - 24*q**4 - 34*q**4 + (-23*q**2 + 10*q**2 + 29*q**2)*(q**2 - q**2 - q**2).\nAnswer: -32*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 42286 and 0.08?\nAnswer: 3382.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 + 6)*(-568*y**2 + 2606*y**2 + 476*y**2) to o*y**2 + k + l*y and give o.\nAnswer: 5028","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 5.1. Let u = -346.47 - -1.47. Let l = u - -338. Which is the third biggest value? (a) l (b) w (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h + 1. Let r be a(1). Suppose -4 + 0 = -r*t. Suppose -938*p + 562 = -76*p - 2886. Solve -i = -2*j - p, i + 3*j - 2*j = t for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**23)**(2\/59)*(l**32*l)\/l*l\/(l*l**(1\/31)))**(-33) assuming l is positive.\nAnswer: l**(-1884465\/1829)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 767 - 778.06. Let d = 8.5 + 2.5. Let h = g + d. Which is the second smallest value? (a) -1 (b) -1\/3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 - 87*z + 1649. Let q be w(-103). Which is bigger: q or -39\/233?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*u**5 + u**3 - 8340*u**2 - 1560101*u wrt u.\nAnswer: 60*u**3 + 6*u - 16680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 478461, 956887, 1435315, 1913745, 2392177, 2870611?\n\"Answer: g**2 + 478423*g + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 5 = q, 45*j + 43 = -5*q + 137 + 11 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -b - 2. Let f be (-30)\/b*24\/9. Let u be (-30)\/(-9)*102\/85. Solve y = -u*y - f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 39 = o, -14 = -5*w + 5*o + 1. Let z = 7 - 5. Let t be 1\/(-2)*(-56)\/z. Calculate the greatest common divisor of w and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 + 8*p - 5. Let q(t) = -t**2 - 9*t + 6. Let o(r) = -179*r**2 - 184*r + 2. Let u be o(-1). Give u*v(j) + 6*q(j).\nAnswer: 8*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2112 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -31295, -31274, -31229, -31154, -31043, -30890?\n\"Answer: u**3 + 6*u**2 - 4*u - 31298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -57 + 5001?\nAnswer: 4944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 159 and 17384?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m. Let p be b(-1). Suppose -2 = p*w + 2*w + 2*t, -w + 5 = -5*t. Let g(k) = -k**3 + k + 6. Calculate g(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (11\/2)\/(2\/(-10)). Let f = -27 - k. Which is the closest to -1? (a) f (b) -8\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b**5 - 538*b**4 - 2652*b**3 - 3746*b**2 - 1948*b - 336 = 0. What is b?\nAnswer: -21, -4, -1, -1\/2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -1 + (-15 - (-113 + 21)) + 6 + -2\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmb when three letters picked without replacement from {a: 4, b: 1, m: 8, c: 5}?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 9:44 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 30988.2625 to the nearest one thousand.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 36. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -144 (b) 24\/11 (c) 5 (d) -1 (e) -177\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*i*v**3 - 5*i*v**2 - i - 25096*v**3 - 16*v**2 - 1176 wrt v.\nAnswer: -72*i - 150576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + e2c42b6?\nAnswer: e2c42b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/8 and -79\/94.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*u - 28*u + 9*u**2)*(-5*u**3 + 0*u**2 + 0*u**2).\nAnswer: -45*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1079, 1078, 1077, 1076, 1075, 1074?\n\"Answer: -z + 1080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.093204 to 3 decimal places.\nAnswer: 0.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 3*k**2 + 29.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 148.04 - 148. Let n = j - 3.04. Let i = 3 - 3.3. Which is the nearest to 1? (a) n (b) 10 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r. Suppose 76 = -3*v + 361. Let z(g) = -7*g - 95 + v. Give x(z(q)).\nAnswer: -21*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9783*g**3 + 4 - 9785*g**3 - 10 - 47.\nAnswer: -2*g**3 - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27683404?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 213136 and -2.\nAnswer: -426272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 45764*r + 5918. Let s(p) = 9151*p + 1185. Let g(o) = -6*b(o) + 29*s(o). What is the first derivative of g(n) wrt n?\nAnswer: -9205","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**2\/2 - 11*l + 2. Suppose -194*g + 208 = 192*g - 360*g. Determine y(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 45. Let n be r(5). Let u be ((-27)\/(-18))\/((-6)\/n). Solve -5 - u = -3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/2*(-23 + 25). Solve -4*k - s = -11, -3*k - 2*s + m + 0 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 745, 2945, 6625, 11797, 18473, 26665, 36385?\n\"Answer: 2*a**3 + 728*a**2 + 2*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 divided by -18692?\nAnswer: 93\/18692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*f + 2*t - 4, 0 = -2*f + 3778*t - 3777*t + 22 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 2*p**2 + p + 1. Let x(f) = 42*f**4 + 24 + 64*f**3 - 14*f + 52*f**2 - 46*f**4 - 2*f. Let v(z) = -24*u(z) + x(z). Suppose v(q) = 0. Calculate q.\nAnswer: -1, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -10?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s - 2. Let y be a(2). Suppose 0*x**2 - 2\/7*x + 0*x**4 + 4\/7*x**3 + y - 2\/7*x**5 = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**5\/20 - 5*q**4\/12 + 2*q**3\/3 - 5*q**2 - 14*q. Let a be y(-6). Solve 6*g - 3*g = -5*u - 3, 2*u + g = -a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7*w**3 - 6*w**2 + 6*w - 7. Let q(g) = 101*g - g**2 - g**3 - 50*g - 50*g + 0*g**3. What is 6*q(x) - r(x)?\nAnswer: x**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.010687 - -675.699313. Let l = b + -671. Round l to 1 decimal place.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3752360156 to the power of 1\/2, to the nearest integer?\nAnswer: 61257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 6*r**2 - 6*r + 0 + 0 - 1 - 5. Let a be (-1 - 0)*7\/1. Is d(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5195576\/339 + -138192070\/5763. Let f = k + 39304. Find the common denominator of -139\/6 and f.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/35 and ((-57567)\/8680 - (-12)\/2)*(-2)\/(-42).\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 14*s + 4 - 15 as k*s + n and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 7*r**2 - 23*r - 329. Suppose 4*t + 4*q - 32 = 0, -q + 20 + 14 = 3*t. Is j(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72 + -72.025. Let c = y - 38.975. Let r = c - -39.1. Which is bigger: -18 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -291 + 293. Factor -2057*d**4 - 15*d**3 + 2*d**5 + 2055*d**4 - 30*d**h - 19*d**3.\nAnswer: 2*d**2*(d - 5)*(d + 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + -1. Let i be x\/7 - 92\/(-28). Suppose 5*y - 5 = 0, 3*y - 60 = -i*s - 0*y. List the prime factors of s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1318975 and 525?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226193*k**2 - 452286*k**2 + 226064*k**2.\nAnswer: -29*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -12. Let a(v) = 4*v. Let k be a(5). Suppose 3*b - x = k. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136, -273, -412, -553, -696?\nAnswer: -841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 954.644455 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-21) + 24\/84. What is the third derivative of -73*k**2 + a*k + 0*k - 55 + 56 + 129*k**6 wrt k?\nAnswer: 15480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 11)*(-1 + 6*c - c - 4*c) + (-2*c + c + 2*c)*(-1 - 4 + 3) + 0*c + 2*c - c - 2*c + 2*c - c - 3*c + 2*c - c.\nAnswer: 10*c - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14457 and 2?\nAnswer: -28914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248 divided by -125501.\nAnswer: -248\/125501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*b - 18 - 22 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 53*c**2 + 2*c + 2. Let t(a) = 267*a**2 + 10*a + 11. Let x(g) = -4*t(g) + 22*w(g). Find the second derivative of x(q) wrt q.\nAnswer: 196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -622, -1246, -1870, -2494, -3118, -3742?\n\"Answer: -624*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26\/10 - 12\/20. Suppose 0 - 10 = -n*y. Suppose -4*p = -y*v + 58800005, -3*p - p = -4*v + 58800004. What is p rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 2*c - 5. Let l = 203 + -207. What is t(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161198487?\nAnswer: 3, 233, 76871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 277315 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*h**2 + 404*h**2 + 146*h - 128*h**2 + 8 - 100*h**2 = 0. Calculate h.\nAnswer: -4, -1\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 15 = 7*q - w, 4*q + 2*w = 6. Let v(l) = -10*l + 38. Give v(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3020 - -110211?\nAnswer: 113231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + p + p)*(-23 + 12 - 25)*(-2*p + p - p).\nAnswer: 144*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 274 + -270. Suppose -x - 10438 = -4*m, 9*m - 4*x = w*m + 13053. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -1569?\nAnswer: -1569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xv when two letters picked without replacement from afvfravxraaxrraax.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of o**3 + o**2 + o + 1. Let s = 7 + -2. Suppose -4*d - s + 1 = 0. What is v(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence piee when four letters picked without replacement from ispeefpq.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59419 = -53*a + 59154 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/(l\/(l*((l\/(l\/(l**(2\/11)*l)))\/l)\/l*l)))*(l**(-27)\/l)\/l assuming l is positive.\nAnswer: l**(-321\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 18*m**3 + 219*m + 4. Let j(s) = 23*s**3 + 218*s + 5. Determine 5*c(d) - 4*j(d).\nAnswer: -2*d**3 + 223*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -242.84922 take away 101.51391?\nAnswer: -344.36313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 11 + 7 + (-8 - 2) + -71\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.46 + -2.9. Let z = -3805163.560127 - -3805161. Let g = k + z. Round g to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -987*-45\nAnswer: 44415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q + 4. Let r(i) = 5. Let f = 78 - 76. Suppose 0*k = -3*b + k + 13, -4*b + 14 = f*k. Let y be (b + 9\/(-2))\/(3\/30). What is y*n(x) + 4*r(x)?\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16524\/13 < 1270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (274\/60 - 15\/3)*3. Is -2 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -aa7288 (base 13) to base 10\nAnswer: -4014369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5255*r + 4 = 5251*r + 16 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1565*x + 4 + 1566*x + 1558*x - 4680*x.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-6))\/(2\/(-6)). Suppose a*m - 140 = -3*z, m + 2*z - 18 - 53 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 0.303906.\nAnswer: -2.127342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7101, -15035, -22969?\n\"Answer: -7934*v + 833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/1)\/(-17 - -12). Suppose 0 = -0*z + 3*z. Which is the closest to z? (a) -5 (b) p (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 77*l - 11683 + 2091*l + 8117*l**2 + 782*l + 11683 wrt l?\nAnswer: 16234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 3*k + 7, -10 = -13*i + 7*i + 2*k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 5*k = 5*a + 10, 0 = -5*k - 4*a + 21. Suppose 46 = u - k. What are the prime factors of u?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*i**2*k + i**2 + 339*i*k + 2*i + 8400*k wrt i.\nAnswer: 4*i*k + 2*i + 339*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -395 - -535. Is 18 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11167?\nAnswer: 13, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 10. Let l be u(8). Suppose -h + w - 3*w = -20, 4*h + l*w = 56. Let o = h - -2. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/(-9) + -3)\/(-4)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 + 0 + (1 + 2 - 5)*(0 + 2 + 0) + 0 + 1 + 1 + 1 + 4 - 3 + 0 + 3 - 1 + 2 + 0 + 0)*(2*y - 13 + 0*y + 0*y + y) to h*y + w and give w.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/18 + 0 - 1. Let k be 4\/14 - (-11)\/(-63). Let p = -13531\/5 - -94697\/35. Which is the closest to q? (a) p (b) -0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 3*o**2 - 640*o - 4809. Calculate c(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*f - f - 4*u - 19, 9 = 3*f - 4*u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33541*h**3 - 31 + 31.\nAnswer: 33541*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-3))\/((-6)\/45). Let l(z) = z + 9. Let f(n) = 7*n - 4*n - 5*n - 17. Let g(u) = -2*f(u) - 5*l(u). Calculate g(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8452.\nAnswer: 2, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*g**4 - g - 38*g**4 - g + (3*g - 3*g - 2*g)*(2*g**3 + 0*g**3 - g**3))*(-479 + 479 - 113*g).\nAnswer: 2034*g**5 + 226*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21*(-4)\/12 - (6 - 3)*-2. Is l < -6\/161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*x + 5*k, -2*x + 2*k = k - 5. Suppose -i - 17 + 2 = 4*p, -x*p = 15. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 + 1. Let o be ((-54)\/(-10) + -5)*(-5)\/(-7). Is z != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 297986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + 32. Let s = -26 - -53. Calculate the greatest common divisor of s and g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3*h + 2. Let x(l) = 24*l + 17. Let y be -1*2\/6 - (-437)\/69. Let c(k) = y*x(k) - 51*f(k). Let q(j) = 6*j. What is c(q(d))?\nAnswer: -54*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rzrrzrrrr. Give prob of sequence zrz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-1 + -5) - 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -21701 - 8768401\nAnswer: -8790102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t + 15. Let q(c) = 2*c - 7. Calculate -6*p(b) - 13*q(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4 = -0. Let c(s) = s**p + s + 0*s - s. Let g(l) = -l - l + l + 0. What is g(c(y))?\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -8758*f + 2013. Let p(h) = 2189*h - 504. Let d(r) = 6*g(r) + 26*p(r). What is the derivative of d(m) wrt m?\nAnswer: 4366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -716, -1771, -3140, -4829, -6844, -9191, -11876, -14905?\n\"Answer: -k**3 - 151*k**2 - 595*k + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 318 + -320.96. Let h = z + 1.86. Which is the nearest to h? (a) 2\/5 (b) 1\/2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1905 and 26295?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-11) + (-245)\/(-77). Let u = -1 - p. Sort u, 3, -2.\nAnswer: u, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 672375 is divided by 41?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/2 - 4\/40. Which is the closest to j? (a) -5 (b) -2\/11 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - 5 - 77\/7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 7:28 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*u - 46*u - 31*u)*(-3*u - 2*u**4 + 3*u) + (-3*u**4 + 6 - 6)*((4*u - 3*u + u)*(1 - 2 - 1) - u + u - 2*u).\nAnswer: 218*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q. Suppose -189*o - 572 + 3407 = 0. Let y(w) be the second derivative of 5\/6*w**4 + 0*w**2 - o*w + 0*w**3 + 0. Calculate y(s(c)).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3217 (base 9) in base 16?\nAnswer: 93d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**9\/60480 + v**8\/26880 - v**4\/8 - v**2. Let s(a) be the second derivative of x(a). Factor s(h).\nAnswer: -h**3*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14062210 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fifty-two fifths of a millennium?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -6. Let h be 8\/(-28) + 32\/14. Suppose 4*r = -d, -4*d + h*r + 42 = -3*r. Solve y*b + 2 = -4*q, -d*b = -5*q - 4*b - 18 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 942*a**3 - 4*a**2 + 4*a - 8. Let t(m) = 23551*m**3 - 99*m**2 + 99*m - 198. Determine 4*t(g) - 99*x(g).\nAnswer: 946*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 * 0.5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 4*b + 2 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 0. Let a(z) = -5*z**3 - 13*z**2 - 8*z - 5. Let f(u) = u**3 + u**2 + 1. Let s(i) = -a(i) - 4*f(i). Let p be s(-8). Is p <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1cd8 (base 16) to base 14.\nAnswer: -2996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35567118.\nAnswer: 2, 3, 137, 14423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 8:38 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 8451019590 to the nearest one hundred thousand.\nAnswer: 8451000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o - 1. Let f(c) be the first derivative of -4*c**2 + 14*c + 32. Calculate f(w) + 10*z(w).\nAnswer: 2*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 1\/35*f**5 + 1\/840*f**6 + 0*f**2 + 0*f - 28 + 28\/3*f**3 + 2\/7*f**4. Let l(y) be the third derivative of b(y). Factor l(n).\nAnswer: 3*(n + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f*h*r**2 - 9*f*h*r + f*h*u + 2*f*r*u + 2*h*u - 2*r**2*u - 72*r**2 + 2*r*u wrt h.\nAnswer: -f*r**2 - 9*f*r + f*u + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 235, 142, 49?\n\"Answer: -93*o + 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5047279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -724 and -5622.11.\nAnswer: 4070407.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1290 + 14166\/11. Find the common denominator of h and -1 - 18 - 0\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 - 3*p**2 - 4*p**2 + 2*p - 19*p + 6*p**2.\nAnswer: -p**2 - 17*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 3*j - 3. Let i be w(2). Let s(y) = 3*y + 3*y + 4 + y**2 - 4*y + 0*y. List the prime factors of s(i).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bi when two letters picked without replacement from {v: 4, i: 3, b: 6}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 2:30 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -104.53 + 105. Let x = 0.465 - a. Round x to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 0. Suppose -3*v + 4*k = g*v + 360, 4*k = 20. Let t = v + 183. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 84, 75, 60, 39, 12, -21?\n\"Answer: -3*v**2 + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 8*v - 297. List the prime factors of 2\/18 - (-4840)\/v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 204.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/3 - 1457*p**2 + 21886*p\/3 + 8752.\nAnswer: -(p - 6)*(p + 1)*(p + 4376)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 107\/(-4) - 9\/(-12). Find the common denominator of 10\/7 and (-1*(-3)\/(-20))\/(q\/(-325)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*u = -53*u - 603. Let a = u + -171. Calculate the remainder when a is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 12*f**2. Let w(i) = -4*i**2 + 12. Determine s(w(g)).\nAnswer: 192*g**4 - 1152*g**2 + 1728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -67*a + 65*a. Suppose -4*u = -2*p - 1266, -4*u + 3*p + 846 + 419 = a. List the prime factors of u.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18707834, -18707818, -18707792, -18707756, -18707710?\nAnswer: -18707654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1484\/29 or 50?\nAnswer: 1484\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 24808 divided by -24808?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(76) - (sqrt(19) + -2*sqrt(19) + -3))**2.\nAnswer: 24*sqrt(19) + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*m**3 + 26 - 11*m**3 - 9*m**3 + 167 - 6*m**3 as x + l*m**3 + h*m**2 + f*m and give x.\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29693?\nAnswer: 23, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 4*l + 24 = 0, -3*n - l - 4*l = -2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**3 + 106*b**2 - 1192*b + 119. Calculate j(16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 11*g**2 - 10*g + 6. Let x be v(10). Let i be x\/16*4\/6. Is -1 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.59 + 4.01. Let i = j + -5. Put -0.5, i, 0.2 in descending order.\nAnswer: 0.2, i, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**3 - 133*q**2\/4 - 2359*q\/4 + 299\/2 = 0. What is q?\nAnswer: -13, 1\/4, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 16*u**2 + u - 11. Let j be p(16). Let h = 98 - 90. Suppose h*v = j*v + 171. Does v = 58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000474 rounded to seven decimal places?\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y**2 - 2*y - y**2 - 2*y**2 + 1 + 0*y. Let c be p(1). Solve 5 = c*u + 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -3*b**2 - 8*b + 2. Let g be s(0). Solve -4*v - 3*x - 3 = 0, 2 = -2*v - g*v - 2*x for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 235848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 515177.13*0.7\nAnswer: 360623.991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v**2 + 1163*v + 33271. What is w(317)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*l - 15*l - 9*l)*(l**3 - l**3 - 3*l**3).\nAnswer: -3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, -3, -14\/3 in increasing order.\nAnswer: -76, -14\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**4\/6 + 67*z. Let d(h) = 0*h - h - 8*h. Calculate d(q(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4093457 - 2?\nAnswer: 4093455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8439259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26a24 (base 13) to base 2.\nAnswer: 10001100101011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.04, -2\/3, 27, 12, 8?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381933.\nAnswer: 3, 42437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24210 divided by 15?\nAnswer: 1614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 9. Suppose n + 5 = o, -3*o - 2*o + 2*n = -16. Suppose -o + 2 = -i. What is w(i)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/9657 and -15\/217819?\nAnswer: 1960371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 45*t**2 + 204*t - 90. What is n(-49)?\nAnswer: -482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 8*t - 1. Suppose -2*u = -3 + 7. Let z be h(u). Which is greater: -15 or z?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*x - 554*x = -13140 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 693343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 10*r)*(2 - 2 - 2*r) + 0*r**2 + 27*r**2 + 4*r**2 to the form j*r + a*r**2 + v and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 5*k**2 - 8*k + 14. Let c be r(6). Solve c*v + 12 = 5*t - t, -6 = -4*v + 2*t for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164819 less than or equal to 164818?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 20 = 0, 2*z - 15 + 8 = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 47 + -9 - 62 - (-8 + -1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 3. Let v be d(5). Sort 5, v, -4 in descending order.\nAnswer: 5, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 11*r**2 - 1197*r - 6192. Give j(-5).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*r - 4*j + 67 = -101*r, 0 = 60*r - 3*j + 108 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(38)\/sqrt(2) + -4.\nAnswer: -9 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + -42. Let x = -11 - t. Which is the closest to 0? (a) x (b) 2\/11 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2944)\/(-16) - (-5 - -1 - -1). Is f >= 187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -818*l. Let g(t) = t. Determine g(a(j)).\nAnswer: -818*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r - 7. Let p be d(-3). Solve 0 = 3*y - p*y - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006410171 to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3819902 is divided by 475.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 15892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/816 and 67\/595068?\nAnswer: 2380272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -115*n. Let l(h) = -2*h**3 - h. Determine -k(b) + 115*l(b).\nAnswer: -230*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5 = -1. Suppose -2*o = s + 1, 0*s = -s + j*o + 17. Calculate the remainder when 13 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 1a5127?\nAnswer: 1a5123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2467846025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 31 + 19. Let c = v + -28. Let q = c + -22. Which is smaller: 2\/3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 986.5898 micrograms to grams.\nAnswer: 0.0009865898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h + 45 = 5*h + 101. Solve 0 = -20*o + 3*o + h*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 11*n + 6. Let f(i) = i**3 - 7*i**2 + 14*i - 51. Let l be f(6). Determine w(l).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v. Let q be (1 - 1)\/(-2) + 2. Let y = -1 + q. Calculate the remainder when f(1) is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (-2 + 2 + -7). Suppose 5*q - 1 - o = 0. Calculate the smallest common multiple of q and 39\/4 - (-2)\/8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2) + (1 - 0 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2735, 2449, 2163?\nAnswer: 1877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mndb when four letters picked without replacement from {n: 1, b: 1, d: 1, m: 1, t: 2, u: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 2*i**2 - i**2)*(-i + 0*i - i) + (-12 + 125*i**3 + 12)*(-3 + 3 + 2) - i**3 + 2*i**3 + i**3.\nAnswer: 250*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118, 233, 344, 451, 554, 653, 748?\nAnswer: 839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12105 + -12120. Let u(r) = -4*r. Let w be u(-1). Put v, 5, w, 0 in ascending order.\nAnswer: v, 0, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1358.9 - 1359. Let n = -11 - -12.2. Let x = -0.2 + n. Which is the nearest to x? (a) 1 (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, j: 1, k: 1}. Give prob of sequence jk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*n**3*x + 33*n**3*y + n*x*y - 4*n*x + x*y wrt y.\nAnswer: 33*n**3 + n*x + x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i + 12. Let b be c(12). Let x = 199 - b. Is x a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, d: 3, m: 1}. What is prob of sequence jd?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 8*y - 9. Let a be t(-11). Suppose -3*s + a = 6. What is the smallest common multiple of 10 and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3473*w + 35917. Calculate q(11).\nAnswer: -2286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*k = o + 95, -229 = 4*o + 3*k. Let l = 684 - o. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 8*k**2 - 2. Let i be p(8). List the prime factors of i + 35 + (-1)\/(-1).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - y**2 + 4*y**2 - 40.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 7*r + 11. Let z(y) = -y + 1. Let m(t) = -q(t) + 2*z(t). Let j(s) = s**3 + 96*s**2 - 396*s + 392. Let o be j(-100). What is m(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.4 + -0.8. Let d = 0.41 - -0.09. What is the smallest value in d, 3\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 261248 and 326560.\nAnswer: 1306240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -338 - -343. Suppose -1389 = -3*i + 5*m, -b*i - 1591 = 2*m - 3937. Calculate the highest common factor of i and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3365 less than 3364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -12*j - 15. Let l(f) = f + 1. Let m(u) = 15*l(u) + s(u). Let d(k) = 27 - 27 + k. What is m(d(a))?\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 4. Let f(j) = -j + 3 - 4*j**2 - 12 + 10 - j**3. Calculate f(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -6. Let y(k) = -7*k**2 - 5*k + 5. Let d(s) = -s**2 + s + 5*s - 10*s + 3*s - 1. Let l(j) = g*d(j) - y(j). Calculate l(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 36859144 (b) -2\/11 (c) 3\/4 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of m**2 + 1\/2*m**6 - 11\/5*m**5 + 0*m + 2 + 15\/4*m**4 - 3*m**3. Factor v(t).\nAnswer: t*(t - 1)**3*(3*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -m**7\/336 - m**6\/30 - 3*m**5\/20 - m**4\/3 - m**3\/3 - 14*m**2. Suppose y(i) = 0. Calculate i.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001654537 to 6 dps.\nAnswer: -0.001655","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 114 + 24. Which is the fourth smallest value? (a) -5 (b) 1\/8 (c) w (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7737 - 7901 = 5*c + 3*r, 4*c + r + 127 = 0 for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 4:05 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 170713*q**3 + 156391 wrt q.\nAnswer: 512139*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v + 306 = 146 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(16\/(-208)*-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**3))**(6\/17) assuming y is positive.\nAnswer: y**(18\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-10.5378.\nAnswer: -73.7646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4166 = -58*b - 22. What is the highest common divisor of 5587 and b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -705 * -0.02.\nAnswer: 14.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 54 (b) -0.04 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2 + 2*x + 1. Let y be u(-2). Let o = -2 + y. Suppose 5*c - 4*d = 112, o*c - 16 - 29 = -5*d. What is the smallest common multiple of c and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9 and -7764128?\nAnswer: 7764119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**5 - 32675*p**4 + 31594610*p**3 - 8294971110*p**2 - 16684856775*p - 8358258375 = 0. What is p?\nAnswer: -1, 555, 5427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (138*g**3 + 1454*g - 1454*g)*(10 - 16 - 17)*(0 + 0 - 2).\nAnswer: 6348*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 1) + 1\/(-1). Let v(u) = -u - 6. Let k be v(-9). Suppose b = -k*w + 2 + 1. Calculate the remainder when w is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2. Let s(v) = -562*v**2 + v + 1. Give s(m(a)).\nAnswer: -562*a**4 + a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2481\/7 or -354?\nAnswer: -354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*c + 78839 + 102811. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 100 = 29*b - 9*b. Let a be (-20)\/(-6) - 2\/(-3). Suppose 2*c = -a*q + 5*c + 57, 3*c = q - 12. Calculate the greatest common divisor of b and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/5)\/u)\/(u**(-5\/3)\/u))**(1\/22)*(u**0)**(1\/4)\/(u**(2\/7)*u)**4 assuming u is positive.\nAnswer: u**(-5842\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*q - 35 = 5*q, 19 = 2*j + q. Let x be (-4392)\/(-40) - (-2)\/j. Suppose -w + 220 = 4*h + 2*w, -2*h + x = -3*w. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9 (b) -81 (c) -2 (d) 2 (e) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13270 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/9 + 1556*j**2\/3 - 27522*j + 369360.\nAnswer: -2*(j - 2280)*(j - 27)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 11*c**2 - 27*c - 22. Let x be i(-8). Suppose -2\/5 + 12\/5*s**4 - x*s**2 + s**5 - 9\/5*s + 4\/5*s**3 = 0. What is s?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 3*s + 1. Suppose -2*h + 0*h = 10. What is the tens digit of f(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**7*(m*m**(-2\/5))\/m assuming m is positive.\nAnswer: m**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31 + 8*n - 3*n**2 + 17*n - 25*n to the form x + t*n**2 + j*n and give x.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 550815 = 4975*s - 4925*s + 49215. Is s a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bk when two letters picked without replacement from kktgkbbyk.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 5*o**4\/24 + 5*o**3\/3 - 8*o**2. Is g(4) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-112)\/(-35))\/(154\/55)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1350433883?\nAnswer: 4229, 319327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 270560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 341 and 46250842.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -31? (a) 2\/13 (b) -4 (c) -122288\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cadc when four letters picked without replacement from {a: 7, c: 3, d: 4}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5550433 is divided by 2697.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - -0.2. Let d = 5.94 + 0.06. Let u = d + -6.5. Put -4, u, m in decreasing order.\nAnswer: m, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*p - 0. Let m(y) = y - 7. Let w be m(9). Suppose b + 0*b - 2 = 0, -w*v + 12 = b. Solve p*x - v*d = -d - 20, 0 = -3*x - 2*d - 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40663195.1398248 + 37852693.13982. Let b = -2810494 - u. Let s = 8 - b. Round s to 7 decimal places.\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.186 and -0.0290828.\nAnswer: 0.0054094008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34162 is divided by 6433.\nAnswer: 1997","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.08 + -3.92. Let g = 4 + v. Let y = -5.1 - -5. What is the nearest to g in 0, y, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 10, c: 1, l: 3, r: 2, k: 1, p: 2}. Give prob of picking 1 m and 2 r.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 627?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -s - s + 188, -503 = -5*s + 4*x. Let y = 21 - 12. What is the highest common divisor of y and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-3))\/(2\/12). Let t = 35 + 5. What is the highest common factor of t and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20077196 >= 20077194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 21 + 2*b**2 + (3 + 0 - 1)*(6*b**2 - 3*b**2 - 2*b**2))*(-3 - b**3 + 3).\nAnswer: -4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3473 divided by -3?\nAnswer: -3473\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -12*f + 5. What is a(7)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 31 = -0*y + 3*y, 5*y + 5 = 3*f. Let l(p) = -p**3 + 3*p**2 - 2. Determine l(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 457377?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51304 + -29081. List the prime factors of s.\nAnswer: 71, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {u: 3, t: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 4*d + 7*d. Let b = -21\/4 - d. What is the nearest to 1 in 1, -12, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - 911364?\nAnswer: -911369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*i - 1091, 15*i - 16*i + 4*l = -366. Let b = i - 359. Factor 2\/15*g**2 - 2\/15*g**b + 0 + 4\/15*g.\nAnswer: -2*g*(g - 2)*(g + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -31. Which is bigger: 2\/13 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23875 and 500.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2143*b**2. Let d(p) = -7*p. Give d(l(i)).\nAnswer: 15001*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*i + 2666 = 0, -4*o + 3564 = -i + 4*i. Suppose -8*s + o = -130. Calculate the remainder when s is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126447272 less than -6.48107?\nAnswer: 126447265.51893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 216778801 to the power of 1\/3, to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*v**3 - 172292*v**2 + 172292*v**2 + 56*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 1. Let h(d) = -167*d - 8. Calculate h(i) + 5*j(i).\nAnswer: -167*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 64 + 0 = 0. Let z = b + -8. Calculate the least common multiple of z and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of q**2 - 4. Suppose w = 3*w - 6. Let n(s) = w*s - 6*s - s. Calculate n(j(p)).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r + 3. What is d(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 162716 = -2*s + 322045, -20 = 4*f. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(4*sqrt(54)).\nAnswer: sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542506 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4166 + 5050. What is the greatest common factor of 544 and r?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 60306694 and -0.024?\nAnswer: 60306694.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*u + 31*u - 1068 = -19*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 171 + -170. Solve 3*x = -a + f - 0, -9 = -a + 5*x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -985460289.3 to the nearest 1000000.\nAnswer: -985000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2. Let i(m) = -56*m**2. Give i(r(u)).\nAnswer: -224*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**5 - 274*m**4 + 11838*m**3 - 152902*m**2 - 342424*m - 177408 = 0.\nAnswer: -1, 32, 44, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v**3 - 7*v**2 + 100*v - 8. Let t(g) = -3*g**3 + 3*g**2 - 43*g + 4. Determine 7*t(o) + 3*u(o).\nAnswer: -6*o**3 - o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66)\/36 + -29 + (81 - 45)?\nAnswer: 31\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117056?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 3*o**3 - 4*o - 10 - 5*o**3)*(-4 + 8 + 0)*(-2*o**2 - 5*o**2 + 0*o**2).\nAnswer: 56*o**5 + 56*o**3 + 280*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -18. Let x(t) = -1 + 3 + t**2 + 3*t - 3. What is the remainder when x(4) is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*w + 231582 = -82272. Calculate the highest common factor of 34 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10*42\/(-1050))\/((-4)\/500*-12).\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - (-30 + 32)) + -34.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -184 - -185. What is the third biggest value in -6\/5, 0.016, 0.5, g?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 14*v - 384. What is the lowest common multiple of 6 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 + 5*m**2 + 7*m - 26. Give d(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 14 = -2*x. Let q(w) = -6*w - x*w - w. Let l(y) be the third derivative of -y**5\/60 - 2*y**2 + 10*y - 609. Determine q(l(r)).\nAnswer: 13*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -5*z - 6, 3*z + 1 = q - 1. Suppose 79 = q*s - 5. What is the highest common factor of s and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 190 - 189. Let a(v) = 11*v + 1. Determine a(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence waav when four letters picked without replacement from {m: 2, a: 2, w: 1, j: 2, l: 1, v: 1}.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58450?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**5\/5 + 258*s**4\/5 - 2208*s**3\/5 + 5792*s**2\/5 - 768*s = 0. Calculate s.\nAnswer: 0, 1, 4, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -0*m - 6. Let w = -2 - m. Let r = -15.5 - -12.5. Which is the nearest to w? (a) 0.2 (b) -2\/5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1333530 divided by -88902.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121212202210 (base 3) to base 13.\nAnswer: -b8302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + o = -7, 0 = -3*q - 4*o + 16 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1920*w**3 + 4*w**4 - 967*w**3 - 195 + 339 + 328 - 976*w**3 wrt w?\nAnswer: 16*w**3 - 69*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*sqrt(20) + -5 + (4*sqrt(220))\/sqrt(11) + -3.\nAnswer: -16*sqrt(5) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -7, -13?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3109878?\nAnswer: 2, 3, 17, 10163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57 + 0. Let x = -57.00086 - r. What is x rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.5 from 89.\nAnswer: 84.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1475081310?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 700 and 224?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 21. Suppose 4*a - 31 = -p. Solve 2*g - a = -0*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 3*q - 1 = 4*b, -1 = -q - 4*b for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 114547, 3, -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 12664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1252497 by 14073.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -7*k**2 + 18*k + 338. Let d(x) = -12*x**2 + 37*x + 676. Let s(f) = -3*d(f) + 5*v(f). Differentiate s(j) wrt j.\nAnswer: 2*j - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8300910 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -9*d**2. Let k(q) = 5*q**2. Determine k(j(u)).\nAnswer: 405*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*h + 140*h + 11 = f, -h + 5*f = 28 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15866, 61619, 137258, 242783, 378194, 543491, 738674?\n\"Answer: 14943*m**2 + 924*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3 = 6*u. Let o = 109759\/3 - 36586. What is the third smallest value in u, 2\/3, -0.25, o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*g - 436 + 436)*(-9 - 50 + 5 - 52).\nAnswer: -2332*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 160\/624*(-555)\/3700?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*m**2 + 20*m**4 - 14*m + 29*m - 13*m + 3*m**3 wrt m.\nAnswer: 480*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111101111100 + 111?\nAnswer: -111101110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 604*u - 1614. Let i be g(6). Do i and 2009 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 15*v**3\/2 + 547765*v**2 + 3651615*v\/2 + 547740 = 0.\nAnswer: -73032, -3, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 302\/520647?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a567a7 - 5?\nAnswer: -1a567ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (349440\/(-8400))\/(10\/(-25)).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -760786, -1521638, -2282490, -3043342?\nAnswer: -3804194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(425) - sqrt(425))**2 + sqrt(17) + -2*sqrt(425) + -2 + 0 + sqrt(612).\nAnswer: -3*sqrt(17) + 3823","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**6*t)\/t)\/(t*t**4*t))\/(t**(-7)\/(t*t*(t\/(t*t*t**(-2\/9)))\/t))*t**(-3\/7)*t\/t**(2\/3)*(t**(-7)\/t)\/t*t**(1\/12) assuming t is positive.\nAnswer: t**(-451\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54\/5 + -172\/15. Sort -1\/9, 7, -4, c in increasing order.\nAnswer: -4, c, -1\/9, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4 - 3 + 6 - 6*x**2 wrt x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1202 - 1207. Let z = -0.9 + -0.9. Let r = 2 + z. What is the closest to 6\/25 in 0.3, r, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -51320, -51323, -51326, -51329, -51332?\n\"Answer: -3*w - 51317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**5 + 20*y**4 + 12*y**3 - 164*y**2 + 232*y - 96 = 0.\nAnswer: -3, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/173, 1, 121964?\nAnswer: 1\/173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 1 - 4*a**3 - 4 + 18*a**2 - 27*a**2 + 4. What is the units digit of f(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204985331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j + 4*j + 4*j - 3)*(-3*j + 2*j - j) to v + c*j**2 + u*j and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -27027 divided by -11\nAnswer: 2457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h - 1. Let k be f(-3). Let y(q) = -q**3 + 9*q + 9. Let r = 80 - 61. Let m(i) = 39*i + 1 - 19*i - r*i. Calculate k*y(s) - 18*m(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 51 = -3. Let z = 0 - k. Let o(r) = -r**3 + 11*r**2 + 12*r + 4. Let n be o(z). Solve -n*b = b + 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 2\/77, 1, 44?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k*(k**(-2\/3)*k)\/k))\/k*k*k*k**17*k)**41)**(-7\/10) assuming k is positive.\nAnswer: k**(-8036\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 666474307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 1284 - 99 = 0. Suppose 82 = -5*l + f. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4}. What is prob of picking 4 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + sqrt(44)\/sqrt(4))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4*(-39)\/208)\/((-6)\/4). What is the second smallest value in -1, j, -0.062?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 718304 is divided by 359106.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52579120 and 2255.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 587? (a) -0.1 (b) 2 (c) -0.027933 (d) -0.3 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 + 1)*(-344 + 344 - 11*j) + (-3*j + j + j)*(-1 + 3 - 1) as c*j + f and give c.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 - 8 - 259)*(-p**3 - 2*p**5 + p**3).\nAnswer: 612*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9361 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**5 - 28*m**4.\nAnswer: -2*m**4*(m + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 120, 108, 44, -90, -312, -640, -1092?\nAnswer: -1686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 9*i**2 + 11*i + 40. Let u be g(6). Which is the closest to -1\/3? (a) u (b) 2 (c) 0.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*(l\/l**(5\/9)*l)\/l*l))**(-31) assuming l is positive.\nAnswer: l**(403\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.08 - 22.92. Let y = 222127351.9999982 - 222127329. Let z = m + y. What is z rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 3*z + 456, -3*z = -47384*w - 47380*w + 94767*w + 270 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2507821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30577134*j**6 + 137105*j**2 - 337*j + 1 wrt j.\nAnswer: 3669256080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 12*o = 8*o - 29, -2*w - 5*o = 31 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4360, 8714, 13078, 17458, 21860, 26290?\nAnswer: 30754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*v = 24, -3*h - v + 12 = -2*v. Factor 5*i**2 + 2*i**5 + 6 - h + 8*i**3 - 10*i - 8*i**4 - i**2 + 1.\nAnswer: 2*(i - 2)*(i - 1)**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24235876 to the power of 1\/2, to the nearest integer?\nAnswer: 4923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 - 2 + 0*a**2 - a**2 + (-a**2 + 3*a**2 + 0*a**2)*(-2 + 0 + 1).\nAnswer: -a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 16*y**2 + 3*y - 2. Let g be q(2). Find the second derivative of 69*l - g*l + 5*l**5 - l**5 wrt l.\nAnswer: 80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/3))**(-10)*(a**(-2\/21)\/a)\/(((a\/(a\/((a**(2\/5)\/a)\/a))*a*a*a)\/a)\/a)*a\/(a*a**(-5))*a**1*(a*a**(1\/3)*a)**21 assuming a is positive.\nAnswer: a**(6073\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360*q = -369*q - 36. What is the third smallest value in q, 5, 1\/23?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236514301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 17592246\nAnswer: 87961230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -7. Let g be -3*(2 - 33\/y). Suppose -2*d - g*h + 8 = -4, -2 = h. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/3 + (-3184)\/(-12)*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14010\/2335*22\/(-12)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 8*z**3 - 18*z**2 - 29*z. Let c(k) = -19*k**3 + 35*k**2 + 55*k. Let l(w) = -3*c(w) - 7*q(w). Let l(t) = 0. What is t?\nAnswer: -19, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8253838 days to hours.\nAnswer: 19.8092112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.91445 rounded to three dps?\nAnswer: 0.914","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*y = 78*y - 12 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 60, 0, 3, -5, 108 in ascending order.\nAnswer: -5, 0, 3, 4, 60, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.72 - -12. Let u = b + -0.2841. What is u rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**2 - 3948*h + 0 - 2*h**2 + 3948*h - 1.\nAnswer: 3*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffff. What is prob of picking 4 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - l + 144, -7*l + 55 = -p + 263. Calculate the greatest common divisor of p and 7676.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 21*z**5 + 7167*z**4 - 28902837*z**3 - 413950755*z**2 - 1537012512*z - 406028700 = 0?\nAnswer: -1350, -7, -2\/7, 1023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22461 - -22461. What is the smallest value in w, -3\/13, -2.5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2141 a factor of 182662796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5140141 - -53?\nAnswer: 5140214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -1\/54*v**4 - 7\/27*v**3 + 8\/9*v**2 + 71*v + 0. Factor w(t).\nAnswer: -2*(t - 1)*(t + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 1562*z.\nAnswer: z*(z + 1562)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4514*b = 4508*b + 24. Let o(w) = -3*w - 4. Let x(z) = 2*z + 5. Give b*x(d) + 5*o(d).\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 976787?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -181*(2\/(-4))\/(16\/32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/377277 and 55\/7917186.\nAnswer: 530451462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33367*i**4 - 735*i + 31 wrt i.\nAnswer: -400404*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 605 by 38.\nAnswer: 605\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**6\/240 - a**5\/80 + 16*a**3\/3 - 18. Let t(h) be the third derivative of k(h). Solve t(l) = 0 for l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1010445279, 1010445280, 1010445281?\n\"Answer: m + 1010445278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158, -1243, -3046, -5567, -8806, -12763, -17438?\nAnswer: -22831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 at most as big as -9.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 14. Suppose -h*g = -4*g. Put -1, g, 3 in decreasing order.\nAnswer: 3, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**5\/120 + 5*q**4\/8 - 19*q**3\/6 + 3*q**2. Let i(n) be the first derivative of a(n). Calculate i(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-3 + (2 - (-3 + 3)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(17\/2))**20 assuming t is positive.\nAnswer: t**170","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 * 0.4951233\nAnswer: 0.054463563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 234 = -26. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(17) - (sqrt(17) + (sqrt(17) - sqrt(68)\/sqrt(4)) + 1 + sqrt(17) - sqrt(17))**2) + (sqrt(17) + -1 + 1)**2)*3 - (6*-2*sqrt(68)*-4)**2)*-2.\nAnswer: 6*sqrt(17) + 313350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 9139.845s?\nAnswer: 9139845000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -13. Calculate the smallest common multiple of (-43)\/(-2) - 11\/(-22) and b.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + (sqrt(245) + 2)**2 + -5)*-6 - -5*sqrt(20)\/(4*sqrt(484)).\nAnswer: -1464 - 9235*sqrt(5)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2083, -2088, -2097, -2110, -2127?\n\"Answer: -2*v**2 + v - 2082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -754090, -754107, -754158, -754261, -754434, -754695, -755062, -755553?\n\"Answer: -3*g**3 + g**2 + g - 754089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 89385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2646*c - 2682*c - 1 + 1 + 5367*c. Let z(n) = -3*n**2. Calculate z(a(s)).\nAnswer: -4563*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*s - 4195, 59 + 1619 = 2*x + 2*s. Calculate the smallest common multiple of x and 9.\nAnswer: 7551","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w + 3. Is z(-16) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or 61\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(200)*-3 - sqrt(200))*-5)\/sqrt(4))\/((sqrt(10) + sqrt(20)\/sqrt(2))*3 - sqrt(1000)*-2).\nAnswer: 10*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1392504*r**2 + 895367*r.\nAnswer: 2785008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -363 - -518. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 354*s + 356*s + 2, l = 3*s + 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26.44 - 26. Let f = 0.04 - g. Is -0.1 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -425, -11, -6, 4 in ascending order.\nAnswer: -425, -11, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 40077156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 15?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -304, -1774, -5970, -14266, -28036?\nAnswer: -48654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -2*z**3\/3 + 3*z - 4. Let y(b) = -4*b**2 - 20*b. Let o(d) = 5*d**2 + 24*d. Let u(t) = 5*o(t) + 6*y(t). Determine u(f(g)).\nAnswer: 4*g**4 - 12*g**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4028370?\nAnswer: 2, 3, 5, 47, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + z**3 + 0*z**3 + 2*z**3)*(-z**2 + 4 - 4).\nAnswer: -3*z**5 + 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, o: 2, l: 5, q: 8}. Give prob of sequence rql.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5717 + 68850. What are the prime factors of k?\nAnswer: 74567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 20276, 20252, 20218, 20180, 20144?\n\"Answer: r**3 - 11*r**2 + 2*r + 20284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 9*l - 5. Let c(p) = 10*p - 6. Let m(i) = 7*a(i) - 6*c(i). Let y be m(6). Let d = y + -8. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260832040?\nAnswer: 2, 5, 7, 931543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13848919 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 4*n - 12. Does 20 divide a(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25\/4 + -6. Sort w, -4, 4, 7.\nAnswer: -4, w, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3933 + 8217 = 810*h for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*z - 10*f + 13*f, z + 20 = 3*f. Let j = 1\/34688 + 6755379\/3780992. Let w = j - 4\/109. Sort w, z, 2.\nAnswer: z, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - q = 2, 94*q + 100*q - 199*q = -20 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31065\/18182 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 2.7. Let v = o - -4. Let m = v - 3.18. Round m to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/30 + (-9105)\/(-18). What is the highest common divisor of 33 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41472 and 1792?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -442.\nAnswer: -3\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 362126573?\nAnswer: 362126573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*k - 168 = 61*k. Suppose -k = -q + 44. What is q rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 + -16.93. Which is the biggest value? (a) s (b) -1\/6 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 2) + -4 - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -627\nAnswer: -3135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -6*d**2 + 91*d + 326. Let j be k(18). Solve -5*h + 2 = -2*c + j, -h = 4*c + 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174473?\nAnswer: 13, 13421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 2 = -2*f. Find the common denominator of (f - 4)\/(9\/21) and 31\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 193 + 141. Let d = -0.2 + 0.7. Which is the smallest value? (a) 2 (b) d (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of -1\/4*a**4 + 2\/3*a**3 + 0*a - 1\/2*a**2 - 2. Let d(t) = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i - 2. Let a be d(-2). What is the common denominator of 1*(-14)\/(-44)*(-8)\/4 and 1\/8 - a - 0?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -1\/103, -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24001 + (1 - (-4 - -6)). Suppose 0*h + x = -4*h. Round h to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.97 + -1.8. Let h = 0.33 + t. Which is the third biggest value? (a) -1 (b) h (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8298 by -2325.\nAnswer: -2766\/775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1305)\/(-5) - (-9)\/(-3 - -6). Let g be (-1 + 52\/12)*i\/10. Suppose g + 122 = 5*w. Does 21 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60*186988\nAnswer: 11219280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -46001, -46000, -45999?\n\"Answer: u - 46002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 2*b - 6. What is k(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 23\/1 + 348\/174. Solve 0 = 5*t + p + f, -3*t + 28 = -5*t - 4*p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4751010 divided by 28794.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00017575 rounded to six decimal places?\nAnswer: -0.000176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17.2 - 17. What is the nearest to -2 in i, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 115\/6, 202, 2\/7, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -265*j**3 - 214*j**2 - 5*j. Let n(v) = 531*v**3 + 427*v**2 + 9*v. Let p(d) = 3*n(d) + 5*s(d). What is the third derivative of p(t) wrt t?\nAnswer: 1608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2184 (base 12) in base 15?\nAnswer: -116a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10242 - -11723. Is 1481 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-15) - 122\/(-5). Solve 2*m - d = -4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96848222 and 32848.\nAnswer: 4106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14992 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5129980?\nAnswer: 2, 5, 256499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-108)\/21 + 5)\/(2\/(-4)). What is the closest to 2\/29 in -2\/7, -1\/6, r, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/45140 and 83\/1460.\nAnswer: 3295220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 708, 2897, 6556, 11685, 18284, 26353?\nAnswer: 35892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**8\/192 + 41*v**7\/420 + 19*v**6\/40 - 3*v**5\/10 - 47*v**2. Find p such that u(p) = 0.\nAnswer: -6, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**8\/1344 - n**7\/504 + 4*n**4 + n**3\/6 - 35*n. Let p(l) be the third derivative of o(l). Determine f, given that p(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34 - 1) + (-288 - -296).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 9452, 0.1, -1\/5 in increasing order.\nAnswer: -1\/5, 0.1, 9452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**4\/24 - 2*o**2. Let d(h) = h + 1. Let f(r) = -3*d(r) + 2*t(r). What is the units digit of f(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/4*44\/(-66). Which is the biggest value? (a) 0.3 (b) -128 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 3*m - 11, -7*j = -3*j + 2*m - 26. Suppose 2*o = 2*z - 16, 6 = 2*o + j*z - 6. What is the least common multiple of -1 + (1 - (o - -2)) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14982 or 14981?\nAnswer: 14982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -1, 3, -6 in descending order.\nAnswer: 3, 1, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(800))\/(sqrt(810) + sqrt(810)*-1 + sqrt(810)) + (sqrt(45)\/sqrt(9))**2 + sqrt(5) + 2 + sqrt(10)\/(sqrt(22)\/sqrt(11)))*6.\nAnswer: 20*sqrt(5)\/3 + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rcro when four letters picked without replacement from {r: 2, c: 6, b: 1, a: 2, o: 3}?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4 = 0, 9*r = 4*r + d - 1. Which is the closest to 0.1? (a) 4 (b) r (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51075 and 62425.\nAnswer: 561825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/46)\/((-196)\/(-784))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, j: 5, o: 1}. What is prob of sequence jo?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13626\/(-5299))\/(-6*(-1)\/28)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = y + 6, 0 = 7*q - 4*q - 2*y + 23 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/27 + 22\/6. Suppose -3*k + r*k = 0. Solve 5*n + 16 = 4*i, 4*n + 18 = -2*i - k*i for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 2*a + 11. Let c be l(0). Let k(i) = 10 - 19 + c - i. What is k(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10299 - 6978. Let a = b - 1533. List the prime factors of a.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 - -86. Suppose -5*p = -b + 13. Suppose 2*h + 2*y - 67 = 3*y, p*y - 12 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62510617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3114737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 26 + -19 - (2 + -10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 519 and 115737?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 11:35 AM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mam. Give prob of sequence mam.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10312.\nAnswer: 2, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/((o**(-18)\/o*o)\/o)*o**(-3)*(o**(-11)\/o*o*o)**(2\/19) assuming o is positive.\nAnswer: o**(303\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/9, 0.4, 4 in descending order.\nAnswer: 4, 0.4, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 11*w**2 - 147*w + 102. Determine k(-19).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 13. Let o(k) = -k**2 - 13*k - 9. What is the remainder when o(m) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4092 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 y when two letters picked without replacement from {y: 4, g: 7}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + 8*q + 7. Let x(o) = -o**3 - 6*o**2 + 4. Let k be x(-6). Suppose -k*l - 4*i = -0*i + 32, -3*l - 12 = -3*i. What is u(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37586 + 37595. Let i(t) = -6*t**3 + 2*t**2 - 3*t - 2. Let b(a) = -13*a**3 + 4*a**2 - 6*a - 4. Calculate w*i(q) - 4*b(q).\nAnswer: -2*q**3 + 2*q**2 - 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 30006*k - 6. Let z be l(1). Round z to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.08 - 6. Let t = 0.3 - 0.42. Let f = t - r. Which is the nearest to 2\/7? (a) 1\/6 (b) -2\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p. Let n(z) = 3*z**2 - 19*z + 19*z. Let j(t) = t**2. Let f(s) = 5*j(s) - 2*n(s). Calculate h(f(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10 + 2)\/(-3)*-3. Let x be (-2)\/b - 140\/(-264). Is -1 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000312741 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -34300000 to the nearest 1000000.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**2 - 130*d - 252 = 0. What is d?\nAnswer: -63, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 2*i + 3*i. Suppose 3*q - i - 60 = 0. Is (22\/12)\/(5\/q) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.1389, -3915, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(-3)\/6 - 3. Suppose -3 + 3 = -20*b. Calculate the remainder when 74 is divided by b + t - 34\/(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + 2326165.8748\nAnswer: 2326166.3748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 148 and 6031?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 281668808+15.29\nAnswer: 281668823.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 e, and 1 q when three letters picked without replacement from {n: 1, q: 1, e: 5, i: 1, w: 1}.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 + 13*v - 2. Calculate q(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1617.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -25*g**3*s + 267*g**3 - 64*g**2 - 1275*s wrt s?\nAnswer: -25*g**3 - 1275","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53415.\nAnswer: 3, 5, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 20349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 155936, 311873, 467810, 623747, 779684?\n\"Answer: 155937*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22 - 3*y + 1777*y**3 + 3*y - 1778*y**3 + 190*y**4 - 13*y**2 wrt y?\nAnswer: 4560*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 29 = -5*v, -5*z + v - 49 + 17 = 0. Let s be (z - -6)*(-41 - 0). Let f = -45 + s. Put f, -7, 3 in descending order.\nAnswer: 3, f, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*l - 116*l = -47825. Let b = l + -1297. Does 56 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 776 - 3896\/5. Let b = -18\/5 - y. Let j = 1 - -2. Which is bigger: b or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (527\/51 - 10 - (-16)\/(-3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -4*d + 18, -d - 24 = h - 25 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/(-12)*(-20)\/6. Suppose -4*p + 15 = -k*q, -3*q = q - 4. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1189 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 7*y**2 - 3*y + 12. Give u(-7).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 + 2*g**2 - 18*g - 12. Let a be r(-5). What is the derivative of 72 + 72 - 9*k**a - 155 wrt k?\nAnswer: -27*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 196.0758 tonnes to micrograms.\nAnswer: 196075800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30 - 4680010.\nAnswer: -4679980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of t**5*y**2 - 19*t**4*y**3 + 2*t*y - 132*y**3 + 2 wrt t.\nAnswer: 20*t**3*y**2 - 228*t**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.267 + 28.167. Let g = -28.4 + d. Which is the closest to 0? (a) -5 (b) g (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -311 + -11?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 35200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 305629591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0691ml?\nAnswer: 0.0000691","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 5624447981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 3*h + 14, 2*h - 786 = 5*z - 817 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 217 - 219. Let j(t) = -12*t - 6. Let g be j(n). Solve g*r - 16*r + 2 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -88 - -96. Let j be (((-630)\/y)\/7)\/(3\/4712). What is j rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -8*q**4 - 5*q**3 + 7*q**2 + 6*q. Let n(a) = 23*a**4 + 14*a**3 - 20*a**2 - 17*a. Let f(m) = -6*n(m) - 17*x(m). Let f(o) = 0. What is o?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5 + -4 + (-3 + sqrt(5) - sqrt(5))) + (sqrt(10) - (sqrt(810) + 1*sqrt(810)))\/(-2*sqrt(288)).\nAnswer: -2 + 17*sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 461 - 460.9. Let u be (-10)\/4*5\/25. Suppose -48 = -2*o - 46. What is the closest to u in 1\/2, o, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + v**2 - 3*v + 1. Let j(m) = 2*m**3 + 2*m - 2*m**2 - 3*m**3 + m**2. What is 2*c(q) + 3*j(q)?\nAnswer: -q**3 - q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94397 = 34*x - 35*x. Let u = x - 38603. What is u rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 20 = 4*y, 16 - 1 = -5*y. Suppose -4*x - 4*a + 48 = 0, -2*a = -5*a - 12. Determine c so that x*c + 4*c**2 + 0*c + k + 0*c**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.43 rounded to the nearest integer?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/((j*j*j\/j**(-1)*j)\/j)))**(1\/13)*((j\/j**(-3\/5))\/j)**18)**31 assuming j is positive.\nAnswer: j**(22382\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -28. Suppose 4*d = o + 6. What is the derivative of 100*s**3 + 4*s**d - 100*s**3 + 15 wrt s?\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -12.8. Let q = -0.2 + x. Let z = -40 - -39. Which is smaller: z or q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 s when four letters picked without replacement from ccslzclccccclc?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**5 + 1115*i**4 + 60470*i**3 - 188150*i**2 + 190405*i - 63845.\nAnswer: 5*(i - 1)**3*(i + 113)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 741 + -747. Let f be 2\/q*(-45 - 30). Solve -2*o + 6*o = -2*a - 18, -5*a - f = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 19*j**2 + 927*j - 17597. Determine g(19).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2402.089l?\nAnswer: 2402089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -58686*w**2 - 18*w - 27. Let c(s) = -14673*s**2 - 4*s - 6. What is 9*c(h) - 2*u(h)?\nAnswer: -14685*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26 - 1 - (-1 + 2). Suppose -3*m - 8 + 17 = 0. Factor -4 - 8*a + 10*a**2 + x*a + 9 + 2*a**m + 3.\nAnswer: 2*(a + 1)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293122220 rounded to the nearest 1000000?\nAnswer: 293000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 19742 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 5, 1, -3305, 2\/3, 305?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/4))**(1\/26))**(3\/19)*(b**(-1\/7)\/(b*b\/((b**(-8)\/b)\/b)*b*b))**(20\/11) assuming b is positive.\nAnswer: b**(-355659\/13832)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ph when two letters picked without replacement from {t: 2, h: 1, s: 1, p: 4, q: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f = -10*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 310067227 to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 != -3424?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 53*x**2 + 51*x**2 + x + 2 - 107*x**2 to the form t*x + n + g*x**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 33, 4\/17, 39?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30395\/(-11808) + 22\/99. Let r = -75\/32 - i. Let j = r + -257\/1353. Is -1 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3940077 weeks in minutes?\nAnswer: 3971.597616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 37545.\nAnswer: 37546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -72 + 77. Let t be ((-1)\/(-4))\/(3\/(-24)*n). Do t and -0.08 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -113, -5, 1, 0 in decreasing order.\nAnswer: 1, 0, -5, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4252406?\nAnswer: 2, 2126203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 836*l - 173*l + 2117*l + 713 + 2096*l wrt l?\nAnswer: 4876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vyvyvkvkkky. Give prob of picking 3 y and 1 k.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/6 and -101\/1900.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2636843861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*s + 5, -30 = -j + 2*s. Let y = j - 25. Suppose -y*a + 191 = -3*z + 4*z, 5*z = -a + 955. Does 42 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - 2*c**2 + 4*c**2)*(-3 + 2*c + 3) - c**3 + c**3 + 2*c**3 - 3*c**3 + 2*c**3 + 5*c**3.\nAnswer: 10*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*sqrt(198)*1 + (sqrt(198) - -1*sqrt(198))*4)\/(sqrt(12)\/(sqrt(24)\/sqrt(4) + sqrt(6)) + sqrt(2) + (sqrt(2) - (sqrt(2) + sqrt(50)*6))).\nAnswer: -66*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 + 28.02. Let l = 7.98 + m. Which is the biggest value? (a) l (b) 2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160072 is divided by 1907.\nAnswer: 1791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16.51 + 29.51. Which is the smallest value? (a) 2 (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*x - x - x**3 + 3*x**3 - 10*x**3 wrt x.\nAnswer: -48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1615 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64 + 91. Suppose -4*u = -s + 55. Let v be (10\/(-4))\/(u\/(-10)). Solve z - 2*z = v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 541882 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4 - 4 = -3*z, -x = z + 2. Let k be (2*(4 - 1))\/(-1). Let l be k\/(-14) - 310\/70. Which is the second biggest value? (a) -2 (b) l (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6268127 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(12\/(-4)*5\/10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1275 - -1275. Solve -1 = -b - f*b + x, b + 3*x = 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -759, -5, 0 in increasing order.\nAnswer: -759, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(3\/4)*h*h**(-2\/9)*(h*h**(-6))\/(h\/(h**(-2)*h)*h) assuming h is positive.\nAnswer: h**(-233\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 - 95.3. Let l = -1172927.70057 + 1172936. Let t = h + l. What is t rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/4*16\/(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105\/(-9)*2127\/34741.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 138284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 f when three letters picked without replacement from {x: 2, i: 3, r: 6, f: 3, m: 4}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*x, 4*w + 3*x = -19 + 7. Suppose w = f - 0 - 3. Differentiate -3 + f + 2 + b - 3*b wrt b.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134715?\nAnswer: 3, 5, 7, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 2 + (-1 - -1 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1705\/(-10))\/11)\/(((-115)\/(-5))\/46).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -6. Suppose h*g + 85 = 5*g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -304160045 equal to -304160047?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6451 - 26480?\nAnswer: -26482.6451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 10:52 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -794*z + 68552 = -2466*z for z.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/47510424 and 33\/2639468.\nAnswer: 47510424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 263*p - 259*p - 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/165, -5, -10\/141?\nAnswer: -10\/141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*a + 12 = -56*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 144, -2\/7, 23, -597, 4, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a - 3. Let j be o(-7). Let x be 980\/j + -1 + 3. Let b be x\/(-63) - (-4)\/(-6). Sort b, -1\/8, 3.\nAnswer: -1\/8, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 462 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 10. Suppose 2*u = v*h + 203990, 4*h = -h - 2*u - 510010. What is h rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14\/6)\/((-66)\/18). Let m = 25\/22 + k. Suppose -1 + m*d + 1\/2*d**2 = 0. Calculate d.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130326 and 535?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + 0 - -3 - -15. Find the third derivative of 27*d**2 + 34*d**3 + h - 15 - 102*d**3 wrt d.\nAnswer: -408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 2 (b) 204 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/12 of a millennium?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: -8387 (base 11) to base 8\nAnswer: -25542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/2 (b) 16 (c) 0.5 (d) 0 (e) -5 (f) -15312\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6\/d*d**5*(d*d*d\/((d*(d**(1\/5)*d)\/d*d)\/d*d*d))\/d*d**3*d)\/((d\/((d*d*d**(-6\/5)*d*d)\/d))\/d**(-3\/5)*(d**2*d)**(-7\/2)) assuming d is positive.\nAnswer: d**(47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68870 is divided by 6885.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {g: 7, q: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-7)*(-14)\/(-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*u - 277 = -53 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3767\/24 - 157. Let v = s + -7\/24. Let n = -5 + 1. What is the nearest to -1 in 1, n, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dccccccdcdcccd. What is prob of picking 1 d and 1 c?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**5\/210 + 71*a**4\/42 - 184*a**3\/7 + 2*a**2 + a - 595. Factor t(q).\nAnswer: -2*(q - 138)*(q - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.3 (b) 5 (c) -8\/15 (d) -2\/5 (e) -1286\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -828621, -1657228, -2485825, -3314412, -4142989, -4971556, -5800113?\n\"Answer: 5*m**2 - 828622*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 258 + 12. Let y = -242 + m. Round y to zero decimal places.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138444.\nAnswer: 2, 3, 83, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 17 = 5. What is the units digit of k\/((-4)\/(-639))*3\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 + 7*s - 11. Let j be m(-5). Solve 30 = -4*c - 5*x, -3*c = -2*x + j + 7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-187*o + 56 - 56 + (1 - 2 + 0)*(1 - 1 - o))*(1 - 1 - 2)*(2*o - 1 + 1).\nAnswer: 744*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 5*a**2 - 2. Let s(u) = -57*u**3 - 31*u**2 + 18. What is 6*p(l) + s(l)?\nAnswer: -63*l**3 - l**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 2*g. Suppose g = 4*j - 3 + 11, 24 = 2*s + 5*j. Let t = 18 - s. Solve -5*z - 6 + t = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 254553 - 212?\nAnswer: 254341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1342 - -22825\/17. Sort j, -0.4, 4\/9.\nAnswer: -0.4, 4\/9, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4413950 and 430?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 409, 61, 16, 1.3, 5, -1\/6.\nAnswer: -1\/6, 1.3, 5, 16, 61, 409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2*a + a)*(-1203*a**2 + 3*a + 1206*a**2 - 2*a + 184).\nAnswer: 3*a**3 + a**2 + 184*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -10*z**3\/3 - 129*z**2\/2 + 15*z - 6. What is the first derivative of s(a) wrt a?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7332\/376*((-16)\/(-6) - 2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -124 (base 6) to base 8\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z + 13. Let y be r(7). Let i be (-1)\/4 + 183\/12. Let q be -5*(-1 - (-6)\/i). Solve -4*v = -2*s + 2, q*s - 7*s = -3*v + y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 310, 3196, 11230, 26986, 53038, 91960, 146326?\n\"Answer: 429*h**3 - 117*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 110?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c + c + c)*(c - 2*c - 3*c) - 20*c**2 + 83 - 23*c**2 - 82 as z*c + y*c**2 + h and give y.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.3, 5, -5, -1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -8*j**3 - 5*j**2 - 6*j + 1. Let p(x) = -2*x - 1. Let y be p(-3). Let v(g) = -7*g**3 - 6*g**2 - 7*g + 1. Let z(c) = y*v(c) - 6*w(c). What is z(1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3 - 9 = 0. Suppose s*r - 379 = 185. Let l = r - 1550\/11. What is the third smallest value in l, 0, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/30*(-3)\/(-6)*-6?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 410066 to the power of 1\/2, to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 90, 2, -240, 3 in increasing order.\nAnswer: -240, 2, 3, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 2*k**2 - 2*k + 1. Let w be p(-3). Let a be (-64)\/(-10) - w\/(-5). Find the first derivative of -6*z**2 + a + 11 - 11 wrt z.\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -231 != -2532\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u - 43*u + 7400 = 0. Calculate the highest common factor of 37 and u.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -32510, -65474, -98440, -131408, -164378?\n\"Answer: -l**2 - 32961*l + 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -7*l**2 - 32*l + 84. Calculate z(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-189)\/252*(-1472)\/690?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, 0, 23, 60, 117, 200, 315, 468?\nAnswer: 665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 653006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -127*h**3\/6 + 5*h**2 - 27*h. Is 24 a factor of o(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60475, 241940, 544391, 967822, 1512227, 2177600, 2963935, 3871226?\nAnswer: 4899467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62 - 66. Let z = 15 + -6. Let g = 6 - z. Which is bigger: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 4*u + 2. Calculate i(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 191730 and 11060?\nAnswer: 30293340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -201 - -0.2.\nAnswer: -200.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9111031\/12284 + -60468\/83. Let g = k - -40\/37. Find the common denominator of ((-38)\/12)\/((-3)\/(-9)) and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/7 (b) -5 (c) 2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 4*q**5\/15 - 2*q**3 - 15*q**2. Let z be c(7). Suppose 2*a - z = -4*d, -d + a + 187 = -0*a. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 0*d**4 - 6*d**2 + 0*d**3 + 0 - 7\/60*d**5 + 0*d. Let r(b) = -2*b. What is m(r(k))?\nAnswer: -28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7301 divided by 7\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0318 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8444057 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 2*o + b = -10, 4*o + b + 15 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**3 + 0 + 0 + (-4*q**2 + q**2 + 5*q**2)*(7*q + 11*q + 2*q).\nAnswer: 42*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/9, -1, 589.7.\nAnswer: -1, 2\/9, 3, 589.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 73, 139, 203, 265, 325?\n\"Answer: -y**2 + 69*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 9, -69.9, -2, -15, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 14*q + 3. Let i = -279 - -276. Let t(w) = 29*w + 5. What is i*t(o) + 5*x(o)?\nAnswer: -17*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30)\/(-40)*12 + -1 + -3. Suppose -3*n = -5*n + 3*m + 319, 0 = u*m - 15. Let d = n - 63. Does 30 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -60, -119, -202, -309?\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -5*b**3 + 117685*b**2 - 823550*b = 0.\nAnswer: 0, 7, 23530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3427, 5, -3, 3, -4.\nAnswer: -3427, -5, -4, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6852 is divided by 2860\/130 + (-1 - (-6 + 1))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -75\/8?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 456\/13 - -947\/26. Let x = n - 223\/3. Find the common denominator of (-301)\/(-30) + (3 - (-30)\/(-9)) and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rpvrprvv. Give prob of picking 1 r and 2 v.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/309 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 408 divide 885616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 3 = -l - 5*g, -3*l = -g - 15. Let r(x) = 1 + 5*x + 0 - 3 - x. Let p(s) = -3*s + 2. Calculate l*r(u) + 5*p(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of -3 - -5 - -42 - 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 11*h**2\/2 - 13*h - 4. What is the first derivative of f(p) wrt p?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 12:01 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-750) - (-57)\/((-27075)\/(-4294))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1823*r + 1823*r + 170*r**2)*(-2*r + 5*r - 5*r) in the form b*r + m + q*r**2 + n*r**3 and give n.\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14793577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 101064153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11577.\nAnswer: 3, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 4*l - 7. Let c be p(6). Let t = c + 21. Suppose -2*y = t*d + 2*y - 44, 2*d - 41 = -3*y. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/2 + 434*b**2 - 199133*b\/2 + 2304133.\nAnswer: -(b - 421)**2*(b - 26)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*o - 3*o = 156 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -578 (b) -89 (c) -2\/51 (d) 0.3 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -1. Put -5, w, -2 in descending order.\nAnswer: w, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3914, -15372, -34452, -61154, -95478?\nAnswer: -137424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 76371978 and -669?\nAnswer: 76372647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -209\/344032 + 64890114027\/3784352. Let i = d - 17144. Find the common denominator of 127\/18 - (-2)\/(-6) and i.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, j: 1, i: 5}. Give prob of picking 3 w.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 5*a - y - 84, 3*a - 52 = -y. What are the prime factors of (-4 + 5)\/(2\/a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pvkkkpvv. What is prob of picking 1 p, 1 v, and 2 k?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 25 = -5*f + 3*f, 7*z + 35 = -58*f + 62*f for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 44*x + 42*x + 13, 4*x = -o + 19. Calculate the greatest common divisor of 3836 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -4 (c) -3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.552 and -5.\nAnswer: -22.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38470522249\/9642598 + -1\/688757. Let i = f - 3983. Let g = -266497\/30 + 8887. What is the common denominator of g and i?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -217 + 417. Find the common denominator of (-3)\/24 - 195\/v and 77\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27b6e (base 15) to base 5.\nAnswer: -13034304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 861.9846 minutes?\nAnswer: 51719076000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 9:03 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/2926 and -23\/209.\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-90)\/20*4\/(-6). Suppose s*g = -7 + 4. Sort g, 2, -4.\nAnswer: -4, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/33 and 6\/16 + (-14725)\/20088.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 599*g**3 - 11 + g**2 + 1 to i*g**3 + d + a*g**2 + x*g and give i.\nAnswer: -599","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12834 - 12731.06. Let s = r - 103. Sort -0.5, s, -0.2 in increasing order.\nAnswer: -0.5, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -351*i**3 + 711*i**2?\nAnswer: -2106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 58*0.4\nAnswer: 23.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*((-4)\/2)\/4. Let i be (0 - n)\/(15\/5). Suppose -x**3 + x**2 - 1\/3*x + i*x**4 + 0 = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 5*t - 8. Let c(g) = -12*g**3 + g**2 - g - 3. Let d be c(-6). Suppose 0*p - t*p + d = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(1\/2)*d*d**(-2\/7)*d**(-22)*d**(-12\/5) assuming d is positive.\nAnswer: d**(-1553\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13332)\/249975)\/(4\/(-9))?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-44)\/88)\/((-3)\/(-2)). What is the fourth smallest value in -0.05, 3, d, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + u - 19 = 115, -4*u + 221 = 5*p. Let i be p*1*16\/20. Calculate the least common multiple of 36 and 8\/i*6*3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-5*sqrt(78) - sqrt(78))\/sqrt(6).\nAnswer: -21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 28306.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*w + 184 = 0, 3*a - 368 = -a + 2*w. Let n = 217 - a. What is the highest common divisor of 25 and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -0*s - 30. Suppose -385 = -s*r + r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/4 (b) 4 (c) -2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4449*s + 1482*s + 7080*s + 25496*s + 7236*s as j*s + b and give j.\nAnswer: 36845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 5. Let s = 2 - j. Let q(x) = x**2 + 2*x + 1. Let r be q(-1). Is r less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -2\/7 (b) -3 (c) -5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678658993.\nAnswer: 131, 5180603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 12. Let h(r) = 3*r**3 + 2*r**2 - 5*r - 4. Let x(k) = 7*k**3 + 4*k**2 - 9*k - 7. Let p(o) = -5*h(o) + 2*x(o). Is p(m) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002459239 rounded to 7 dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/(-28))\/(390\/260)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*x - 5*x - 6*x - 66*x - 59*x.\nAnswer: -121*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**3 + 7323*k**4 + 3*k**3 + 3*k - 7342*k**4 + 2*k**2 - 1 to the form g*k + v + s*k**3 + a*k**4 + f*k**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2214.87 minus -4?\nAnswer: 2218.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 202.88088638 - 125?\nAnswer: 77.88088638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 6*f + 7. Let x = -53 - -99. Suppose 0 = -5*d + x - 16. What is b(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 1973*q = 3945*q - 1968*q - 12, 3*q = 3*t + 9 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -52, -104, -156, -208, -260, -312?\n\"Answer: -52*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -9*q**2 + 523*q - 2487. What is h(53)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -263.3 - -263.7. Let l = 8 + -3. Put h, l, 3, 0.1 in decreasing order.\nAnswer: l, 3, h, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 4*b = -16, 2*c + 5 = -b - 2*b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13159 + 977*x - 13159 to the form f*x + g and give f.\nAnswer: 977","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*u**6 - 2*u**5 - 147*u**3 + 98*u**2 - 287*u wrt u?\nAnswer: -2640*u**3 - 120*u**2 - 882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.335 - -4.256. What is the second smallest value in 1\/4, 0, -0.6, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2955 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1439353 = 1439352?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -62\/7955603?\nAnswer: -62\/7955603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1066400 and 4960.\nAnswer: 1066400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -5?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**7\/630 - i**6\/72 - i**5\/30 + i**4\/18 + 4*i**3\/9 + i**2 + 7*i. Factor s(q).\nAnswer: -(q - 1)*(q + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/50 and 1\/200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**6\/60 - i**5\/10 - i**4\/4 - i**3\/3 - i**2\/4 - 9*i. Find v such that m(v) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2845099 to the power of 1\/4, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 4*p + 1 - 23 = 0, 3*a + p = -12 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -57*h**2. Let u(c) = 9528*c**2. What is u(x(j))?\nAnswer: 30956472*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 159 + -154. Suppose 0*q + 2*q - 370 = i*c, 756 = 4*q - 2*c. Calculate the remainder when q is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*(-13)\/13 + (-3087)\/5670?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 10 = 5*l - 4*f, 8 = l + f. Suppose m = 4*v - 18, v + 4 + 2 = -l*m. Solve 2*h = v*c + 20, 0*h + 5*c + 3 = -3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.543 - 2.457. Which is the fourth smallest value? (a) -0.4 (b) 4\/5 (c) 4 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*h = h + 15, -4*d = 2*h + 14. Sort 1, d, 3, -3 in increasing order.\nAnswer: d, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6645243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 5*w - 19 = -0*l, 4 = 2*w for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151759 is divided by 219.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + p - 4. Suppose 289 + 280 = 93*f + 11. Let m(h) = 3. What is f*m(n) + 4*o(n)?\nAnswer: -4*n**2 + 4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 - 3*x**2 + 5*x**2)*(2*x**2 + 12*x**2 - 4*x**2) + 2*x**3 - 2*x**3 - 2*x**4.\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -77, 0.3, 0.441 in descending order.\nAnswer: 0.441, 0.3, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**3 - 329*p**2 - 827*p - 1335. Determine x(167).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*v = 135*v + 1127. Calculate the remainder when 492 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 - ((-12)\/(-54) + (-382)\/18).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - (-14 + 23 - 57) - -85?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2079665854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -660867, -1321740, -1982611, -2643480?\nAnswer: -3304347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 13*o + 8. Suppose 16*s - 22*s - 378 = 0. Let u = s - -81. What is the remainder when v(2) is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 0*t - 1\/2*t**2 - 1\/6*t**3 - 1\/12*t**6 + 3\/8*t**4 + 1\/10*t**5 - 12. Determine l so that i(l) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -670.\nAnswer: 7\/670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1126\/9 or 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 - 74*h - 22. What is m(38)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, 149, 0, 42 in ascending order.\nAnswer: 0, 36, 42, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*u**2 - 30*u**2 - 24*u**2 + 73*u**2.\nAnswer: -39*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.11278 - -0.11292592. Round p to six decimal places.\nAnswer: 0.000146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (13 - (-3 - -1)). Suppose v + 2*v - s = 0. Let a(p) be the third derivative of -p**6\/120 + p**5\/15 + p**4\/3 - 5*p**3\/6 + 19482*p**2. What is a(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -9\/4*m**4 + 0*m**3 + 0*m + 1\/2*m**2 - 10. Find the second derivative of r(k) wrt k.\nAnswer: -54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6801 or 6794?\nAnswer: 6801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 39628045 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28300*w**2 - 28222*w**2 + 56519*w**2.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -331737149 and -335072.\nAnswer: -332072221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oaoaaazz. Give prob of sequence zzaa.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 30e037 - 0?\nAnswer: 30e037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29676781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -10 + 9 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2. Let f(l) = -22608552*l. Determine f(t(y)).\nAnswer: 45217104*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20651.\nAnswer: 107, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 10*h - 15. Give z(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + (sqrt(400)*-2)\/sqrt(8))\/((2*sqrt(30))\/sqrt(3)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -10 + -14 - -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 2*w - 7 = -3*w, 0 = 5*h - 3*w - 19 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 151519212 to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -836*u - 853*u = -2525*u + 857*u - 966 for u.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*d = -24, -3*g + 7*d + 27 = 6*d. Calculate the least common multiple of g and 86.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6620, 6617, 6614?\n\"Answer: -3*g + 6623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 137, 139, 151, 179, 229, 307, 419, 571?\n\"Answer: h**3 - h**2 - 2*h + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3184*k - 2*k**2 - 3183*k - 3*k**3 - 5*k**4 + 2*k**3 + 4 + 6370*k - k**3 to n*k + m + b*k**4 + j*k**2 + d*k**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = k + 79. Let i be 3\/7 - 289\/k. Let q be (20 + -5)\/(-1 - i). Calculate the highest common factor of q and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 5\/2, 46, -4.7, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-24)\/6*(-2)\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + sqrt(2)) - (-2*sqrt(20))\/sqrt(10)) + 5 + 0 + sqrt(128) + -1.\nAnswer: 1 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, m: 2, h: 1}. What is prob of sequence ho?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*i + 99 + 29 = 67*i + 18*t, -28 = -5*i - t for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 135 - 214. Let k = v - -80.18. Let y = k + -1.91. Round y to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 543\/(-8) - 5\/40. Let w = o + 81. Solve -2 - w = -5*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -1\/64 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and -0.494?\nAnswer: 0.194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of u**2\/2 + 30*u + 2. Is 5 a factor of x(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 8:46 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**7\/30 + x**6\/24 - 3*x**5\/20 - 5*x**4\/24 + x**3\/3 - 18*x**2. Factor m(l).\nAnswer: (l - 1)*(l + 1)**2*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 13, d: 3, w: 4}. Give prob of picking 3 o and 1 d.\nAnswer: 286\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -207*s**3*u*y - 6*s**3*u + 1521*s**3*y + 2*s**3 + s**2*u - 3*s**2 - 1224178*s*u*y - 3*u wrt s?\nAnswer: -1242*u*y - 36*u + 9126*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4061 + -4058. Is j smaller than -1\/864?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8745?\nAnswer: 3, 5, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -22. Put 33, 1, l in descending order.\nAnswer: 33, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**4 + 10*i**3 + 6*i**2 - 2*i + 1. Let l(g) = -7 + 3*g + 1 - 4*g**4 - 33*g**3 - 30*g**2 - 17*g**3 + 7*g. Let o(d) = 16*h(d) + 3*l(d). Solve o(s) = 0.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -3 - 1 - 3*q + 2*q. Let u be r(-8). Let w be (u + -2)*(-3)\/(-2). Solve 0*y + w*y - 6 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1602*m**3 - 5*m + 2*m + 3*m.\nAnswer: 1602*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2269.4 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580805?\nAnswer: 5, 17, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 13. Let b be g(12). Let k = -3.1 - 0.9. What is the closest to 4 in -3, b, k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1625237.1 to the nearest one hundred.\nAnswer: -1625200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lb when two letters picked without replacement from {f: 4, d: 1, g: 1, b: 2, l: 5, m: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-five halves of a microgram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 take away 0.0114?\nAnswer: -31.0114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d + 8. Let r be z(-6). Suppose 2*u - 2 = -3*f, -5*f - 2*u = -4*u + r. Let y = -2 - -3. Sort y, -5, f.\nAnswer: -5, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -6*s + 20. Let i be p(13). Let r = i + 101. What are the prime factors of r?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.44, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 q, and 1 p when three letters picked without replacement from {q: 4, b: 4, p: 2, f: 2, l: 2}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 867.2313mg to tonnes.\nAnswer: 0.0000008672313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 5*m - 22, j - 5*m - 22 = 6. Solve -2*n + 1 = j*p - 1, 3*p = n + 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnl when three letters picked without replacement from {p: 1, m: 2, n: 1, i: 1, l: 5}?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**7*l)**(7\/10)\/(l**(-18)*l\/l**(3\/7)*l) assuming l is positive.\nAnswer: l**(771\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.075 + -0.082672527.\nAnswer: -0.157672527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 8*t + 3. Let j be r(-10). Let c = j + 83. Suppose -c*p + 901 = -107. List the prime factors of p.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(2 - 1 - 3)*(-4*g - 18*g + 47*g)*(g - 2*g + 5*g + (-2*g + 2*g + g)*(-1 - 1 + 3) - 1103 + 80*g + 1103).\nAnswer: 4250*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 612851 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89737.\nAnswer: 19, 4723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.646*-4.\nAnswer: 18.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 770 less than -5.93?\nAnswer: -775.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 19. Let f = -13 + w. Which is the third smallest value? (a) f (b) -4\/7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 148 and 1036.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, b: 10, j: 1}. What is prob of sequence ooo?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k - 13. Determine x(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 1:54 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of r**2\/2 - 3*r - 13. Give y(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.81 to 1 decimal place.\nAnswer: -20.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, -840\/11, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -6323*q + 31691. What is i(5)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/11)*n)**(1\/15)*n\/(n**(-9)\/n)*n*n*n*n**(2\/11)*n assuming n is positive.\nAnswer: n**(839\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 0.5, -0.34, -0.12, 0.37?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/11 - 2892\/(-66). Suppose 2*f = 3*j + 1 - u, 42 = 4*j + 5*f. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 2 + 22 + 3*w - 3.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 v when three letters picked without replacement from {i: 3, y: 4, v: 1, n: 1, x: 6}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 72736*i**3 + 831*i**2 + 3*i - 3 wrt i?\nAnswer: 436416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*s**3 - 2*s - 8\/5*s**2 - 4\/5.\nAnswer: -2*(s + 1)**2*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9 - 0\/5)*-11. Let w = l + 173. What are the prime factors of w?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 13*x + 9. Let h be g(9). Let c(f) = -f + 12. Let j be c(8). Suppose 3*v + 138 + 31 = j*i, 3*i = 2*v + h. Is i a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 7:44 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -133451\/51 or -2616?\nAnswer: -2616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 - -138\/5. Let u be (1\/5)\/(-6 + 4). What is the biggest value in j, -0.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -367569696*a**3 + 54210116*a**2?\nAnswer: -2205418176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111020121 (base 3) in base 8?\nAnswer: 22667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -242105632 - -26.388\nAnswer: -242105605.612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23073 is divided by 766.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76695728.\nAnswer: 2, 47, 79, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.312403 minus -4?\nAnswer: 3.687597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124356 = 150*j - 17229 - 32715. What is the greatest common divisor of j and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 169708?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - v - 3. Let k(r) = -5*r + 4. Let c(a) = 3*a - 3. Let s(n) = 7*c(n) + 5*k(n). Let x be s(1). What are the prime factors of i(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.11 or -122\/27?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -138100, -138099, -138098?\n\"Answer: i - 138101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of -467*p**4\/12 - 166*p**3\/3 - 1224*p. Find the second derivative of v(w) wrt w.\nAnswer: -934","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*i**2 + 7*i**3 + 0*i**2 - 4*i**2 - 5 - 4*i**3.\nAnswer: 3*i**3 - 21*i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s - 30. What is y(-15)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 703a0 (base 14) to base 4.\nAnswer: 1001311020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b + 1. Let p be c(1). Suppose -3*u + 4*v - 16 = 0, 10 - 18 = -2*v. Solve 3*l - 4*n = 13, 4*l = -u*l + p*n + 16 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000781 to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 366*l. Let r(g) = 17*g - 8*g + g - 11*g. Give r(j(w)).\nAnswer: -366*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -30\/846151 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*d**4 + 17586*d**3 - 17586*d**3 + 7*d**2)*(4 + 0 - 6).\nAnswer: 28*d**4 - 14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 + 24*k - 4. Let b be z(11). Let i(d) = -31*d + 158. Let r be i(5). Solve -r*y + 2*o - 5 = -b, 4 = -2*o for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8732646 by -2613.\nAnswer: 3342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by -254.\nAnswer: -19\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 60578, -29, 0, 4 in descending order.\nAnswer: 60578, 4, 0, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 0.4, 1, -0.5 in decreasing order.\nAnswer: 1, 0.4, -0.5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015865 to four decimal places.\nAnswer: 0.0159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.4 (b) 0.5 (c) 108.02 (d) 3 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 11*n - 13. Let b be w(9). Solve d + 14 = -b*m, 12 = -4*d - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**(2\/55)*j*j**27 assuming j is positive.\nAnswer: j**(1597\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**4\/12 + 38*a**2. Let u be 6\/21 - (-26)\/7. Let w(q) = -2*q + 5*q - 2*q + 0*q. Give u*t(g) + 11*w(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(15)\/sqrt(5)*-1.\nAnswer: -sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -1690)*3\/((-9)\/(-3)) a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1747*c**4 - 3496*c**4 + 374 + 1740*c**4 wrt c?\nAnswer: -36*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 924888203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wee when three letters picked without replacement from wnwewwnwenwi.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -254.62491660234584 + -1154645561.37507549765416. Let l = m + 1154645637. Let t = 179 + l. What is t rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1105572?\nAnswer: 2, 3, 13, 19, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.2 - 15. What is the third biggest value in 0.3, g, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(18\/(-4)) + 51\/9. Solve -b + k = -2*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2427497133 to the power of 1\/3, to the nearest integer?\nAnswer: 1344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 563924*f**2*h**3*y + 3*f**2*h**2*y + f*h**3 - 149*f + 2*h**3*y - 2*h**3 - 125*h**2 wrt f?\nAnswer: 1127848*h**3*y + 6*h**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 186 and 16?\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -39*w**2. Suppose 0 = 4*n - 115 + 27. Suppose -n - 11 = -3*q. Let b(z) = q*z - 2*z - 8*z - 3*z. What is a(b(u))?\nAnswer: -156*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267*f**3 + 5*f**2 + 24*f**3 - 18*f**3 - 23*f**3.\nAnswer: -284*f**3 + 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 271374.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/18)\/(-2*(-2)\/(-36)). Solve -7*w + 17 = -q*w - 2*g, -w + 2*g = 3 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-294)\/(-60) + -6 - (-1)\/1.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f**3 - 6*f**2 + 5*f + 6. Calculate x(3).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(6\/5)*q**2\/q)\/(q**35\/q*q**(2\/59)) assuming q is positive.\nAnswer: q**(-9804\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1336437961?\nAnswer: 1336437961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 - -64. Calculate the remainder when 63 is divided by a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10880, -21968, -33056, -44144?\n\"Answer: -11088*s + 208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7718894 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*6*(5 + ((2 + sqrt(128))*-6 - (sqrt(128) - (1*(sqrt(128) + 4) - sqrt(128))))))**2.\nAnswer: 108864*sqrt(2) + 2035044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3031 is divided by 1506.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 15*x**2 - 15*x + 12. Let n be z(-16). Is n\/(-5)*(-3530)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 + 114000*g - 569975.\nAnswer: -(g - 113995)*(g - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, g: 1, y: 2, w: 11}. What is prob of sequence iww?\nAnswer: 275\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -33?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 45437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + 6*d**2 - 5*d - 2. Let l be h(-6). Suppose 5*t = l - 3. What is the units digit of (-4)\/(((-10)\/4)\/t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*h + 20 = 0. Let l be 2*(-8)\/h*-30. Suppose 4*g - l = 2*g. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4041596, 4041595, 4041594, 4041593?\n\"Answer: -v + 4041597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 0*c - c - c - 6. Let h be m(-4). Suppose h*u = n - 5, u + 10 = -4*n - u. Which is bigger: -1\/3 or n?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -c + l - 32, c = l + 22. Let j be (0 - (-30)\/c)\/((-2)\/(-6)). What is the nearest to 0 in j, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28\/5 - -247\/45. Let j be (((-330)\/12)\/11)\/(60\/48). Which is the second biggest value? (a) -0.3 (b) u (c) 3 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 42.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-220)\/(360\/(-36)))\/((-5)\/10*4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-9) + (-25)\/(-9). Suppose 5*n + 17 + 65 = -4*l, 0 = 4*l - p*n + 66. Does 7 divide (-130)\/l + (-4)\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 15*i + 14*i - 36*i + 15*i + 130. Is k(14) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 764607.\nAnswer: 3, 254869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*v - 7, -v + 9*q = 8*q + 4. Let b(w) = -4*w**3 + w**2 + 2*w - 2. What is b(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10568)\/(-168) + -71 + (0 - (0 + -8))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -18. Suppose i - 5 = -n*i. Calculate the smallest common multiple of (i\/(-2))\/(1\/(-8)) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*w**3 + 44*w**3 + 30*w**2 + 3*w**4 + 48*w**3 in the form i*w**4 + o*w**3 + c*w**2 + l + k*w and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 177 and 59472?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0686 rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 231*f + 94*f - 3*f + 1702 + 874 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 32. Let x be h(-26). Suppose -495 = -2*i - k, 9*i - x*i = -5*k + 753. What are the prime factors of i?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 4*g + 4, -g + 3*g = -4*k + 8. What is the greatest common divisor of k and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 241, -2\/11, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 65 = 85. Solve 0 = 8*j + s + 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 107*v**2 - 4 - 53*v**2 + 7*v - 52*v**2. What is the units digit of g(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79892 by 19973.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -j + 395. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 697 and 328.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 85717 or 11228760\/131?\nAnswer: 85717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -111, -85, -81, -129, -259, -501, -885?\n\"Answer: -5*t**3 + 19*t**2 + 4*t - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448)*4 + 3)*3*-1)**2.\nAnswer: 2592*sqrt(17) + 352593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(7\/((-49)\/(-14)))*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13, 23, 35, 49, 65, 83?\n\"Answer: b**2 + 7*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 345*k**3 - 8*k**2 - 708*k - 3. Let n(i) = 344*i**3 - 6*i**2 - 708*i - 2. Let b(m) = 3*n(m) - 2*x(m). What is the second derivative of b(q) wrt q?\nAnswer: 2052*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*401.4.\nAnswer: -1605.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55073804*f**2*v**3 + 32*f**2*v**2 + 27*f**2*v + f**2 - 2*f*v + 99*v**2 + 8 wrt v?\nAnswer: 330442824*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3843512, -31 in descending order.\nAnswer: 2, -31, -3843512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 122 and 955.\nAnswer: 116510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 396 + 0?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 554045786.\nAnswer: 2, 7, 107, 577, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**3 - 7*m**2 + 3. Let l(z) = -4*z**3 + 8*z**2 - 4. Let p(n) = -3*l(n) - 4*x(n). Let p(o) = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 + p + 23. Let t = 6 - 6. Let y be x(t). Solve -2 - y = 5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -319 + 319.00159. What is g rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 + 23496*p**2 - 1450986*p + 22460492.\nAnswer: -2*(p - 11686)*(p - 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -15.99999991. What is x rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/1301 at most 847?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232468 to the power of 1\/2, to the nearest integer?\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -3244?\nAnswer: 3304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120545 is divided by 1173.\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 399941552 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 2*h**2 - 3*h. Let n(c) = c**2. Let g(x) = 4*n(x) - u(x). What is g(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4175021?\nAnswer: 197, 21193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + 4)*-2*(-1)\/(-22). Let v = s - -15\/44. Suppose 0*b**3 - 1\/4*b + v*b**5 + 0 - 1\/2*b**2 + 1\/2*b**4 = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 210 - 99. Suppose 3*f - 243 = 3*a, 4*f + 4*a - p = 3*a. What is the smallest common multiple of f and 30?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-27)\/99)\/((-3)\/2). Let w = -8 - -6. Which is the nearest to 1? (a) w (b) 0 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 8*u - 7. Let d be w(-7). Solve d = -5*g + g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180334 is divided by 221.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*p**3 - 3752 - 162\/7*p**2 - 564*p.\nAnswer: -(p + 14)**2*(p + 134)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b**2 - 2*b - 32. Let c be l(7). Let f = c - 200. Sort -4, 5, f, 2.\nAnswer: -4, f, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -568.12659 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1*2\/2*-3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**4 - 4 - 6*i**2 + 6*i**2)*(-2374*i + 5563*i - 2626*i).\nAnswer: 1126*i**5 - 2252*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c - 51 - 61 = 0. Let b(m) = m**3 - m**2 - 2*m + 3. Let o be b(2). Suppose -o*q + c*q = 8. Solve -2*v + 4*j = 16, 0 = v - 5*v + q*j - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/15, -2\/15, -297, 0.018, -1, 2, -5?\nAnswer: -297","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 110896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Suppose 2*f + 5*j = -13, 10*j + 31 = f + 5*j. Let b(v) = -v**2 - 3*v - 1. Give b(f).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 6:41 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 232*b**4 - 235*b**4 + 0 - 4*b**3 - 1 as h*b + k + r*b**2 + i*b**3 + o*b**4 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 65957608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 207 - (4 - (8 + -3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ef when two letters picked without replacement from fmemmqq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 7:01 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5 = 4*w + 1, 5*l + w - 7 = 0. Suppose f - 2*f = -3*g, 5*g = 2*f. Let r be (-21)\/9 - f - -2. Which is bigger: l or r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/35)\/(30\/35)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -6*x**3 - 319*x**2 - 76*x - 1251. Determine w(-53).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1989\/663)\/(((-4)\/(-1))\/120*2).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -120995, -241396, -361799, -482204, -602611, -723020, -843431?\n\"Answer: -y**2 - 120398*y - 596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -7. Calculate the common denominator of -3\/98 and ((-21)\/j + 2)\/((-63)\/385).\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2903 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**5 + 5450*k**4 + 1408245*k**3 + 6948820*k**2 + 11070340*k + 5524320 = 0.\nAnswer: -677, -408, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1010111111 (base 2) to base 8\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6695196.2 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 331 + 125 - 5272*n + n**2 + 5207*n.\nAnswer: (n - 57)*(n - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36360095 + -20798676.\nAnswer: 15561419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 35*g**2 + 455*g - 76. Determine m(45).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 61640 times -0.1\nAnswer: -6164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15721 - 128599\/8. Let s = 1367\/4 + m. What is the common denominator of s and -79\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -20573312356*y**4 - 82289233272*y**3 - 61703872656*y**2 + 12047672*y - 588 = 0.\nAnswer: -3, -1, 7\/71717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-762)\/9 - -78)*3\/(-4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -c**3\/3 + 11*c**2\/2 - 23*c - 31. What is o(10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 32*n - 315. Let v be z(40). Which is the fourth biggest value? (a) v (b) -6\/59 (c) 3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 19071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -3, 15, -5, 287, -6, 0 in descending order.\nAnswer: 287, 15, 0, -3, -5, -6, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 40460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5134887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -603000 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-270)\/(-276))\/15*(-8)\/6?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**4\/((r\/r**8)\/r))**(-2\/17)*((r\/(r\/(r**(1\/3)\/r))*r)\/r**(-2\/9))**(2\/109) assuming r is positive.\nAnswer: r**(-23374\/16677)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1155007914 to the nearest integer?\nAnswer: 1049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1735 + 1095. Let j = -694.1 - v. What is j rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 352797 divided by 6?\nAnswer: 117599\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 - -0.9. Which is the nearest to -1? (a) -6\/17 (b) o (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88 - 92. Let m = 61 + -181\/3. Which is the second biggest value? (a) -5 (b) h (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -10. Let j be 4 + (-15)\/m*2. What is the third smallest value in j, -0.4, 1\/6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 divided by -1205?\nAnswer: -303\/1205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 9128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 15288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -12\/37 (c) 8 (d) 2\/7 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 14 - 78*q + 4 to l + v*q and give v.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -501*m**4 - 28*m**3 - 323*m**2 + 23*m + 1 wrt m.\nAnswer: -12024*m - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) 0 (b) -11\/20 (c) -2160\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 6) in base 2?\nAnswer: -10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9368897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwkuwywunuu. Give prob of picking 1 y and 1 w.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 774, -0.4, 5, -8\/7 in descending order.\nAnswer: 774, 5, -2\/17, -0.4, -8\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) 10 (c) 17 (d) 0.3 (e) 0.1 (f) 151\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**4\/12 - y**3\/6 - y**2\/2 + y. What is x(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 3:15 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 364579114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (101 - 78) + -1 + -24?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 greater than or equal to 504686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1630060, 3260120, 4890180, 6520240, 8150300, 9780360?\n\"Answer: 1630060*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.6? (a) -15 (b) 2 (c) 3 (d) -61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 116.3 - -40.14. Let d = y - -3.56. Let p = d + -159.9999846. What is p rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**4))**(5\/3)\/(y\/(y*y\/(y\/(y*y**(-2\/15)))*y)*y*y\/y**(-14)*y) assuming y is positive.\nAnswer: y**(-127\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -31, -63, -93, -121, -147?\n\"Answer: i**2 - 35*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 2*k + 9 + 13 = 0, 0 = 3*k + 9 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63022749.3 milliseconds to weeks.\nAnswer: 0.10420428125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (46\/3)\/((-56)\/18) and -35\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -209 times -1487.85?\nAnswer: 310960.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(-2\/13))*(v\/(v\/v**5))\/v)**9 assuming v is positive.\nAnswer: v**(450\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*j = 204*j + 59*j - 808. Solve 0 = -7*i + 10*i + 3, 2*t - j*i = 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*i**4 - 5*i**3 - 20*i + 20*i + 15*i**3.\nAnswer: -5*i**3*(3*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*z - 2*x + 5, -4 = x. Let i = -4 + 1. Which is the third smallest value? (a) 4\/9 (b) z (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b42 + 41?\nAnswer: b83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(77) + sqrt(77))*-6)\/(sqrt(11) + sqrt(77)\/(sqrt(7)*2)).\nAnswer: -12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1*(80\/130)\/4\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -332.0296233 to the nearest 10.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -27574.5611 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1200 - -211?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/6)\/((-51)\/(-102)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1324, -2707, -4172, -5761, -7516, -9479?\n\"Answer: -7*n**3 + n**2 - 1337*n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 225257 rounded to the nearest ten thousand?\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 320617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 4 = j. Let b(l) be the first derivative of 3*l**2 - 3*l**2 - 37 - l**j + 36. Suppose b(m) = 0. What is m?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 857973?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 41?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -617947\/5 - -122940. Let n = h + 651. Factor 1\/5*r**4 + 4*r**2 + 0 + n*r**3 + 16\/5*r.\nAnswer: r*(r + 2)**2*(r + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 86, 331, 738, 1307, 2038, 2931, 3986?\n\"Answer: 81*g**2 + 2*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4472047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*y = -4*j + 12, 3*j = 2*y + 14. Suppose 0 = 3*r + j*r. Is r at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l. Suppose -5*c - 23 = -3. Let v(f) = -f - 4. Let u(h) = 2*h + 7. Let r(x) = c*u(x) - 7*v(x). Let w = -9 + 4. What is w*r(b) + 4*q(b)?\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27 + 42 + 11 + -63?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.8*-0.11\nAnswer: 0.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/6)\/((-7)\/(-42)). Suppose -8*z + 5*z = -15. Sort -15, z, r in decreasing order.\nAnswer: z, r, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4380465?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 285753, 285773, 285809, 285861, 285929?\nAnswer: 286013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 53*r**4 - 49*r**3 - 49*r**2 - 2*r + 953663 wrt r?\nAnswer: 212*r**3 - 147*r**2 - 98*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 plus 130?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8110.376156 and -28.\nAnswer: 8082.376156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 244 and 296?\nAnswer: 18056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 0.06014?\nAnswer: -0.024056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 295266?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-104)\/(-12) + 1\/3. Let f(v) = 15 - 13*v + 2 + 11*v. Let i be f(m). Are i and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (1 - -9) - (-684 + 621).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 10:20 AM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 367 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -4*v + 18 - 5, -3*v + 3*d + 6 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/6*(-20 - 1). Suppose 3*y = w + 10. Suppose 160 = 4*d + d. What is the highest common divisor of y and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.283 + 0.117. Let k = 5.57 + -6.57. Which is the nearest to k? (a) 9 (b) x (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 2*x + 4*x)*(0 + x**2 + 0) + (2*x**3 + 0*x**3 + x**3)*(3 - 3 + 2).\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17985, 17986, 17987, 17988?\n\"Answer: l + 17984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-223)\/660 + 2\/6. Let b = g + -343\/165. What is the common denominator of b and 4 - 2*(-188)\/(-64)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1253, 1244, 1231, 1214, 1193, 1168?\n\"Answer: -2*i**2 - 3*i + 1258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 594*x - 45. Let a(i) be the first derivative of -27*i**2\/2 + 2*i + 18. Let s(u) = 45*a(u) + 2*z(u). Let j(c) = c. What is s(j(g))?\nAnswer: -27*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 106692725 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000725 minus 1.613903477?\nAnswer: -1.614628477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -93 + 90. Let w be (10\/(-20))\/(u\/198). Suppose 4*a - 170 = -3*r, 2*r + w = a + 161. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 + -48. What is the nearest to 0 in 3, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -7*s**7\/15 - 8176*s**6\/15 + 1870*s**5\/3 - 668*s**4\/3 - 2340*s**2. Factor x(m).\nAnswer: -2*m*(m + 668)*(7*m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4*1)\/(23 + -1) - 0. Which is the third smallest value? (a) -15 (b) q (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4, -7*x + 2*x = -5*k + 20. Let z(h) = 4*h**3 + 4*h**2 - 51*h - 3. Is 7 a factor of z(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + 0*l**2 - 4*l**2)*(-2*l - l + 4*l) + 0*l**3 - l**3 - 2*l**3.\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1.3*160412\nAnswer: -208535.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12741.\nAnswer: 3, 31, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99471265 is divided by 214?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008729 to 6 decimal places.\nAnswer: 0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - i - 4 = -3, q + 3 = -3*i. Let l be ((-220)\/(-8) + q)*8\/6. Let a = l + -37. What is the closest to 2 in 0.3, -2, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*q + 665*q + 673*q - 1000*q.\nAnswer: 580*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v + 4. Let f be o(3). Let p be 64\/5 - (-1)\/5. Let l(n) = -11 + 16*n + 1 + f - p*n. What is l(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(11\/10))\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 427 - 425. Let h(y) = -15*y**3 + 2*y**2 - 1. Let q be h(-1). Factor 4*c**2 + 15*c**3 - 29*c**s + 5*c + q - 11.\nAnswer: 5*(c - 1)**2*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, 22, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1973860742 to the nearest integer?\nAnswer: 44428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 5:41 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22256904.\nAnswer: 2, 3, 19, 48809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/12)\/i**12*(i*(i**(6\/5)\/i)\/i)\/i*i\/(i**(-7)*i) assuming i is positive.\nAnswer: i**(-353\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 - 80. Let y(x) = -x. What is the remainder when 85 is divided by y(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**3\/7 - 51189*n**2\/7 - 511590*n\/7 = 0.\nAnswer: -17053, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = 43*l - 455 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 5:56 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*s - 12537 - 7483. Is s a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 20 = -2*z, -52 = -2*z - 11*r - 71 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -30. Suppose m*a = 2*b - 4 + 12, 4*a - 44 = -3*b. Solve 0*w - 4*w + a = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjqq when four letters picked without replacement from {j: 2, q: 12, i: 5}?\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1, -1\/5, 2\/9, -32, -2\/93, -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-22))\/d*d**(-1\/25)\/d assuming d is positive.\nAnswer: d**(-576\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 33384300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.46064ml to litres.\nAnswer: 0.00246064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 492138 and -2287?\nAnswer: 494425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 796 + 263 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/13050 and 71\/4302.\nAnswer: 3118950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1386851 to three dps.\nAnswer: 0.139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112950 and 72?\nAnswer: 451800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40142.32*0.1.\nAnswer: 4014.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2934099 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20610 and 42210?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(1080\/16)*3.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/10*2*-2. Suppose 0 = -5*r + 5*n - 20, -98*n + 12 = 3*r - 93*n. What is the nearest to r in 3, q, 2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -252, -236, -222, -210?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 110*b = -7978090. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -8. Suppose f*x - 9 = 1. Factor -x*z**4 - 3*z + 17*z**2 - z**4 - 14*z**2 + 3*z**3.\nAnswer: -3*z*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001624675 rounded to 7 decimal places?\nAnswer: -0.0001625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4779699 and 497352.\nAnswer: 3657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 61 - 53)*(-2 + 2*s**2 + 0 + 3).\nAnswer: -44*s**2 - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**4\/11 - 456*m**3\/11 + 37388*m**2\/11 - 118104*m + 1475782.\nAnswer: 2*(m - 77)**2*(m - 37)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*z = 2*j, 4*z = -j. Suppose -3*d + 8*d - 1655 = j. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**6\/120 + f**5\/6 - f**4\/2 + f**3\/2 - 6*f**2. Calculate the least common multiple of 16 and p(-11).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*d + 3*y + 13, y + 11 = -2*d. Let n be (-302)\/d*(5 - 205). Round n to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/9081 and -74\/45.\nAnswer: 45405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 13*j + 24. What is the tens digit of q(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.2 + 4.1. What is the second smallest value in 4, 3, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/3 + 1\/(-3). Suppose 4*f - 11 = v. Suppose 1 = -s + 5, 5*r - 16 = -f*s. Solve r = -d - 3*d - 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30.1 * -3.\nAnswer: 90.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 8:57 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2909*q**2 + 38610*q**5 + 38613*q**5 - q**6 + 111*q**4 - 77214*q**5 wrt q?\nAnswer: -120*q**3 + 540*q**2 + 2664*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 560 and 25965.\nAnswer: 2908080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 131 = -5*a, 2*x - 29 - 2 = -a. Suppose -4*o = 2*m + m - 34, 48 = 4*m + 4*o. Let s = a - m. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -462064, -462065, -462066, -462067, -462068?\n\"Answer: -h - 462063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315*x + 3*x**3 - 1 - 315*x + 752*x**2.\nAnswer: 3*x**3 + 752*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14302?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1701213872.\nAnswer: 2, 61, 1743047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - l - 6. Calculate the remainder when 19 is divided by v(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5848*f + 5850*f - 11693*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17 and 4131.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -52*w**2 - 33*w - 7588 wrt w.\nAnswer: -104*w - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 5*t = -27, 0*c = 2*c + 2*t + 8. Suppose 0 = 3*l - c - 8. Suppose -5*g + 15 = -0*g. Solve -l = s + 2*b, -3 = -5*s - g*b + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*q - 6*b + 25, 4*q + 4*b = 36. Solve q*j - 2 = 4*n - 10, -3*n - j - 6 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4794 or -4792?\nAnswer: -4794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-2) - (-10)\/(-4). Let g = 7574 - 7571. Sort -3, 1, g, k in descending order.\nAnswer: g, 1, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 565 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/12*4\/6. Let i be ((-1)\/3)\/(r\/(-3)). Let q be 12\/4 + 2*i. Solve -g - q = 4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0014371672966 + 0.118.\nAnswer: 0.1194371672966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 854*i**2. Let f(q) = -4*q**2. Determine f(p(z)).\nAnswer: -2917264*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**5\/7 - 286*y**4\/7 - 3742*y**3\/7 - 17018*y**2\/7 - 32160*y\/7 - 3096 = 0. What is y?\nAnswer: -129, -7, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16381 + 4828 + 5140)*((1 - 2 + 3)*(3*x + 0*x - 2*x) - 2*x - x + 2*x) to n + q*x and give q.\nAnswer: -6413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 0.13, -5, -0.1 in increasing order.\nAnswer: -5, -0.1, 0.13, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.4 - 1.4. Let z be (1 + -2 - 1)\/1. Let m be 13\/(-20) - z\/5. Which is smaller: m or t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -g + w, -w - 1 = 4*g + 7. Which is the closest to 1\/4? (a) 2\/3 (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1384225 divided by 276845.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**3 + 12*d**2 + 17*d - 14. Suppose 0 = -24*g - 0*g + 168. Let x be c(g). Solve 0 = -x*j + 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2953 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: b\"What is the rth term of 401, 1501, 4475, 10259, 19789, 34001, 53831, 80215?\n\"Answer: 156*r**3 + r**2 + 5*r + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 980\/29890 + 152\/2806.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 m when three letters picked without replacement from {n: 2, r: 3, q: 4, m: 2}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 20 = -0*p. Let t be (-3 - -5)*p\/4. Suppose 3*q = -3*k + 12, 0 = -t*q - k - 0*k + 16. Which is the nearest to -2? (a) 4 (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 2. Calculate d(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 54951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -3*c - 8, -12*c - 2*f = -7*c + 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 (base 14) in base 9?\nAnswer: -247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/214, -1, -16, -13, -167, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 6:36 PM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -63*c**3 - 2*c**2 + 2*c + 3. What are the prime factors of p(-1)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154984 a multiple of 261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9357 - 4656 + 1710*x + 585*x**2 - 4701 + 5*x**3.\nAnswer: 5*x*(x + 3)*(x + 114)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/3 - 89042*r\/3 + 4731840.\nAnswer: 2*(r - 44361)*(r - 160)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43 + 2958*s**2 - 63 - 18 + 38 - 2363*s wrt s?\nAnswer: 5916","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 52380, 104833, 157290, 209751, 262216?\n\"Answer: 2*s**2 + 52447*s - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5378 + -5378.2. Which is the second biggest value? (a) f (b) -0.1 (c) -3 (d) -158\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -0.074, 3, -3, -1\/7, -0.5.\nAnswer: -7, -3, -0.5, -1\/7, -0.074, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -1\/22*l**5 - 4\/33*l**3 + 0*l**2 + 1\/165*l**6 + 4\/33*l**4 - 9*l + 0. Determine r so that v(r) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 28 = 34 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3084362*o - 22 - 53*o**2 - 3084362*o)*(5*o**2 - o**2 - 2*o**2).\nAnswer: -106*o**4 - 44*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 1\/23, -0.2, -3, 10\/453?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31\/62*(20\/21)\/((-6)\/(-9))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 188, 278, 366, 452, 536?\nAnswer: 618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/(-56)*-11 - 32\/56) + 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 5:24 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 3 + -82 + 609 + -606.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**5 + 2*r - 2*r + (-2*r**5 - r**5 + r**5)*(-2 + 9 - 3) + 4*r**5 + 0*r**5 - 3*r**5 - 82 + 82 - 5*r**5 + 11*r**5 + 29*r**5 - 19*r**5.\nAnswer: 7*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 a when three letters picked without replacement from {n: 1, q: 1, a: 5, e: 5, f: 7, k: 1}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-6\/5)*p**9\/p)\/(p**(-2\/13)\/(p*p*p\/p**3)) assuming p is positive.\nAnswer: p**(452\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -124 - 148549?\nAnswer: -148673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**2 + f**2 + 0*f**2 + 3 - 2*f**2 - 3 + f**2 + 1 - 1 + f**2 + 2*f**2 - 6*f**2 - 2*f**2 - 1 + 1 + (0*f + 3*f - 5*f)*(-2 + 2 + f).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 191135.4ng?\nAnswer: 0.1911354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*i + 58, 5*n + 7*i - 144 = 11*i. Solve h = -26 + n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ki when two letters picked without replacement from {t: 2, v: 1, i: 1, k: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -14, 224, 0, 2, -36 in decreasing order.\nAnswer: 224, 4, 2, 0, -14, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -30. What is the highest common divisor of 121 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 11:40 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - 0. Let w = 20 + o. Let -1\/3*r**4 + 0 - 1\/3*r - r**3 - r**w = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -369*l**3 + 23*l**2 - 10*l. Let m(k) = -184*k**3 + 11*k**2 - 5*k. Let i(d) = -9*m(d) + 4*v(d). What is the third derivative of i(r) wrt r?\nAnswer: 1080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**2 + 3*m**2 + 29*m**3 + 4441*m**3.\nAnswer: 4470*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-19))\/((-17)\/34)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 1:19 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -243e5 - -5?\nAnswer: -243e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 385 - 385. Let h = -15633\/25 + 625. Let z = -106\/175 - h. What is the closest to 0 in -1, z, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5630\/5181 + -2\/471. Which is smaller: t or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -177 divided by -1?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-20 + 6) - (-19 - -22)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f - 8*f - 2485 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 39*w**2 - 129*w - 44. What is l(-42)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49609032 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 689815 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-433)\/(-17))\/(11\/(-44)). Let a = -1131 + 1233. Let r = u + a. Put 2\/5, r, -0.5, -2\/9 in increasing order.\nAnswer: -0.5, -2\/9, r, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001951 to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 10*s - 5. Let t be 0 - (13 - 1 - 2). Let y be m(t). Let o be (17\/51)\/(2\/(-6)). Put 2, -3, y, o in decreasing order.\nAnswer: 2, o, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 + 184*t**2 - 1818*t.\nAnswer: 2*t*(t - 9)*(t + 101)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((14\/28)\/(2\/(-12))).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 337407 - 337404.20026. Let y = f - 2.8. Round y to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 527, 5, -4, -194, 2 in increasing order.\nAnswer: -194, -4, 2, 5, 527","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**4 + 188899*i**3 - 14143372 wrt i.\nAnswer: 8*i**3 + 566697*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011233323 (base 4) in base 8?\nAnswer: 1055773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 114 = -11*a, -46*r - 6*a + 16 + 2 = -43*r for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9044 and 7616?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 f when three letters picked without replacement from fmmmmwmff?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -158563 * 2.\nAnswer: -317126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kek when three letters picked without replacement from {k: 2, j: 1, a: 2, e: 1, g: 1, w: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/27 of a week in seconds?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 9:52 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 36719734 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whhh. Give prob of sequence wh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3343834 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 1322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 292320720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 2*p - 3*p)*(42*p - 22*p - 11 - 19*p).\nAnswer: 2*p**2 - 22*p","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1211, -2428, -3635, -4826, -5995, -7136, -8243?\n\"Answer: q**3 - q**2 - 1221*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53*y**3 - 43*y**2 + 18*y + 88018.\nAnswer: -159*y**2 - 86*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 103?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 2*n**2 + 3*n - 2. Suppose -3*m + 9 - 3 = 0. Give u(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 17\/3300655?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s - 61*s = -702. Suppose -2*x = x - 159. Calculate the remainder when x is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, a: 5, o: 2, h: 2}. Give prob of picking 2 a.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 2:15 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*w + 93*w + 2 = 2 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 15*d**2 + 14*d - 2. Give y(-16).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00017448 to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -22518391?\nAnswer: 4503678.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2242*d + 304897. Determine q(136).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddp when four letters picked without replacement from {d: 3, p: 9}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 6*s**2 + 2*s + 1. Let d be x(-1). Suppose -d*q = 3 - 18. What is the remainder when 5 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 148 + 1187. Suppose -c = -4*c + g. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/8 and 119\/786.\nAnswer: 3144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 79959923 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: Suppose -16*a + 949 = -1691. Calculate the least common multiple of a and 1848.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 117 + -119 + (0 - 0 - 0 - 8)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11094696 is divided by 5547309?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -47928924, -47928936, -47928948?\n\"Answer: -12*n - 47928912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 156909*a**3 + 497*a - 6 wrt a?\nAnswer: 941454*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -5*o**2 + 3*o - 2. Let g be f(3). Suppose 0 = -5*b + 3*b + 156. Let z = g + b. What is the highest common divisor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*p**3 + 75*p**4 - 120*p**2 + 46*p**2 + 44*p**2 + 47*p**2 + 2473*p wrt p.\nAnswer: 900*p**2 + 12*p + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 24125 and 1.09?\nAnswer: 26296.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.8 + 1.9. Let u = 22 - 376\/17. Which is the closest to -1? (a) u (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + -3.9. Let g = 60.48 - -2.52. Sort g, q, -2 in descending order.\nAnswer: g, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 306*i**2 - 2*i - 343*i**2 - 2 - 1009*i**2 - 2309*i**2 as a*i**2 + q + r*i and give a.\nAnswer: -3967","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/2)\/3)\/(15\/270)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/96*(2 + 1).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -1488*q**2 + 310*q - 310. Let s(j) = -5*j**2 + j - 1. Let l(h) = k(h) - 310*s(h). Let o(i) = 17*i. Calculate l(o(n)).\nAnswer: 17918*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3687*m + 6262*m - 3126*m + 4454*m + 3905*m as l*m + t and give l.\nAnswer: 15182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223533642.\nAnswer: 2, 3, 23, 491, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12943 - 12667.32. Round v to the nearest ten.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and -4175378.\nAnswer: -167015.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 7*r**3 - r**2 - 5*r - 4. Suppose 4*o - 31 = -5*j, 5735 = 3*j + 5726. Let w(c) = -8*c**3 + c**2 + 4*c + 3. What is o*k(y) + 5*w(y)?\nAnswer: -12*y**3 + y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150\/(-975) - (0 + 513\/(-39)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 9. Suppose -k - 197 = -4*s, -183 = -3*s + 3*k - 33. Calculate the remainder when s is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 193, 375, 543, 691, 813?\nAnswer: 903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73727 - -22829. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3) - 0)\/(150\/450)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -2681, -10?\nAnswer: -2681","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -0.607057?\nAnswer: 4.607057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, a: 3}. Give prob of picking 1 a and 3 z.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277675 - 2*b**2 - 3*b**2 + 277675.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80 - 78. Let s(u) = 202 - 2*u + 30*u**p - 204 + 41*u**2. What is the units digit of s(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 343 - 339. Solve -2*n - 3 = y*t - n, -n = -2*t - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 6481374?\nAnswer: -6481372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3643*s. Let w(y) = 2*y. What is w(r(i))?\nAnswer: 7286*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2\/3, 5, -1399, -6\/7 in decreasing order.\nAnswer: 5, 2\/3, -0.2, -6\/7, -1399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 198 and 36.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/((-28)\/(-2)))\/(106\/371)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2341787?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*a**3 - 177*a**3 - 81*a**3 - 62*a**3 - 3.\nAnswer: -268*a**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 2) to base 13.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10\/9 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2782 or 2788?\nAnswer: 2788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (8612\/20)\/((-4)\/(-20)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 6*n + 3. Let z be x(-6). Let c be 28\/24 - (1 + z\/(-9)). Sort -0.4, -14, c.\nAnswer: -14, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -11*z**4\/12 - 7*z**3\/6 + 3*z**2. What is the derivative of m(u) wrt u?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3731 divided by -3392?\nAnswer: -3731\/3392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1170, 8, 0.5 in ascending order.\nAnswer: -0.4, 0.5, 8, 1170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7710.\nAnswer: 2, 3, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 32422697 to the power of 1\/3, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(96) + (sqrt(96)*2 - sqrt(96)) + sqrt(96)))\/(sqrt(396)*-2*-6 - sqrt(396)).\nAnswer: sqrt(2)\/792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 12:20 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 106670?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3598186937120 plus 8?\nAnswer: -3598186937112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in three fifths of a microsecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + -35. Suppose f*l - l = -5. Find the first derivative of -l*s**3 - 29 + 4*s**2 - 4*s**2 + 34 wrt s.\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 12. Let o be 706\/8 - 2 - n\/(-16). Let a = o + -64. Calculate the highest common factor of 132 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4773*j**3 - 35*j**2 - 5*j. Let y(i) = -4551056*i**3 + 33376*i**2 + 4768*i. Give 4768*m(v) + 5*y(v).\nAnswer: 2384*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -275470, -553379, -831286, -1109191, -1387094, -1664995, -1942894?\nAnswer: -2220791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x - 4. Let m(o) = o - 1. Determine 2*m(a) - z(a).\nAnswer: 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -186008 divided by 4\nAnswer: -46502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8*-134193\nAnswer: -1073544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -1. Let r = 0.34 - 0.04. Let z = r - 2.3. What is the closest to -1 in z, 0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -11) + (-6 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (44\/(-3))\/(2\/(-6)). Calculate the remainder when (m\/(-10))\/((-2)\/10) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1811734 and 184664?\nAnswer: 1126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 367.43 + -368.21. Which is smaller: 56\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 95.01135 months?\nAnswer: 0.0079176125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 589 and 361?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 155669 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 13*h + 10*h + 254 = 0, -398 = -3*t + 4*h. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**2 + 3*f**5 + 2*f**2 + 2*f**5 + 2*f**5 - 5*f**5 + (4*f - 7*f + 2*f)*(f**4 - 6*f**4 + 3*f**4) - 2*f**5 + f**5 + 2*f**3 + 0*f**3.\nAnswer: 3*f**5 + 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 773717?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 105*c + 105. Let j(w) = 13*w + 13. Let s(m) = 6*a(m) - 50*j(m). Find the first derivative of s(z) wrt z.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = r - 6*r. Suppose 3 = r*k + 1. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -39\/905 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 27701909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -4*o + z, -7*z = -6*z - 4. Let i(j) = j**3 + 8*j**2 - 2*j - 11. Calculate i(o).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 240 - 167. Let p = 78.8 - y. Round p to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*11*5\/55.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 841 + -2 - 7\/((-21)\/27). What is the highest common divisor of 795 and y?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1933 * -0.071228\nAnswer: -137.683724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1391\/2 - -716. Find the common denominator of r and -97\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -6*j - 5 + 0*j - 2*j - j. Let u(x) = -28*x - 16. Let w(a) = 5*u(a) - 16*y(a). Let h(l) = -4*l. Determine w(h(t)).\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 3. Which is the closest to -1? (a) -3 (b) f (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 132925296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -l**3\/6 - 711*l. Let z(c) = 236*c. Calculate m(z(t)).\nAnswer: -236*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (0 - 2) + 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 2*k**2 - 9*k - 10. What is i(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 8*b**2 + 7*b - 10. Let z be v(-7). Let w be z\/2*(0 - 3). Let n = 116 + -71. Calculate the highest common divisor of w and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**2 - 339*k + 48797. Give g(83).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4663 is divided by 49.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1077 + 1085 + 39*h + 1102 + 13*h + 2*h**3 - 3264.\nAnswer: 2*h**3 + 52*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2637*m + 164. Is n(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3978*h**5*i - 1679*h**5 + 184615*h**2*i + 13*h**2 wrt h.\nAnswer: -238680*h**2*i - 100740*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -23c8 + -87?\nAnswer: -2482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 11 = 2*z. Let q be (3 - 1)*z\/4. Let y(u) = u + 12. Determine y(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 + 1966250 - 1966250.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 781?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34361 by 42.\nAnswer: 34361\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j + 67. Let u(s) = -s - 32. Let f(o) = 4*k(o) + 7*u(o). Let y(g) = -2*g. Give f(y(a)).\nAnswer: -2*a + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13\/(35997\/4254) + 2\/13. Let t = z + -3593\/2840. Calculate the common denominator of 92\/15 and t.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - i**2 + 2*i - 4. Let o be v(2). Let k(x) = -13*x - 2 + 11 + 0 - o. What is the units digit of k(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3148 is divided by 137.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in -1, -0.054, -0.2, 3, 228?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence szzo when four letters picked without replacement from {d: 1, o: 1, u: 1, z: 2, s: 1, b: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*l - 118*l - 3*m = -389, l + 4*m = 207. Suppose -13 = -3*b + 2. What is the least common multiple of l and b?\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1844778 + -691968\nAnswer: -2536746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + (-3 - (21 + -25 - -7)) + 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 539017.903 - -690.99.\nAnswer: 539708.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103888 by 16.\nAnswer: -6493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, e: 6}. Give prob of sequence en.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 5*o - 540, -3209 = -5*j + 3*o - 509. What is j rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 32 and 40083.87.\nAnswer: 40115.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = l - 44, -3*l - 5*f + 135 = -10*f. Let m be (-8)\/(-2) + -110 + 2. What is the remainder when l is divided by m\/(-6) + -3 + 40\/15?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 12:22 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18167979*l**2*q - 13*l*q + 9646*l - 7*q wrt l?\nAnswer: -36335958*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/185 + -387\/18685. What is the closest to j in -0.2, -3, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*b + 9*b - 34*b + 101*b - 22*b.\nAnswer: 41*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52246419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/318250 and 16\/25?\nAnswer: 318250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2347 - 2421 = -37*j. Let z(n) = -n**2 + 4*n. Let k(o) = o**2 - o - 1. Let m(c) = -11*c + 2. Let i(y) = 2*k(y) + m(y). Calculate j*i(d) + 7*z(d).\nAnswer: -3*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 4*g - 81, -24 = -2*s + 23*g - 25*g + 10 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 + 49.498. Round k to two decimal places.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*y + 95*y + 15 = -5*w + 1, y - 6 = 3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 2565?\nAnswer: 2564.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 269.12022 to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*i + 15*i + 938 = -2190 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 10 = 0, 5*w + 1088 = -0*j + 3*j. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 15 + 40 = 0, 2*b - 141*m + 711 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 4 - 2)*(-5*u + 9*u + u) + 2*u + 10*u + 8*u)*(u**2 - 1 + 1) - u**2 - 2*u**3 - 2*u**3 + 3*u**3.\nAnswer: 29*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*y - 54, -475*x = 5*y - 473*x - 193. What is the highest common factor of 37 and y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 0.5 (c) 1\/5 (d) -2\/11 (e) -2\/9 (f) 354\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 2*f - 3. Let l be j(-5). What are the prime factors of (-4)\/l + 122\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101476 by 1103.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.332623 rounded to 1 dp?\nAnswer: -60.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4 + 5*w**2 - 5*w**3 - 8*w**3 + 10*w**4 + 3*w**3.\nAnswer: 5*w**2*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -9 - 2 - (9 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -37616761.6901 and -0.3.\nAnswer: -37616761.9901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -10*g + 112. Calculate c(68).\nAnswer: -568","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 471946*f**3*q - 92*f**3 + 218*f**2 - 3*f + 2 wrt q?\nAnswer: 471946*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 959624.\nAnswer: 2, 119953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/19)*a)\/a**(-2)*(a*a*a\/a**(1\/4))**(-18\/5))**(2\/27) assuming a is positive.\nAnswer: a**(-1291\/2565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -65*f**2 + f - 59. Let d(t) = -9*t**2 - 8. Let l(u) = -29*d(u) + 4*m(u). Give l(-11).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4004008.\nAnswer: 2, 500501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 183079 and 58071?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -942, -943, -944, -945, -946?\nAnswer: -947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 83\/9 + (-60)\/270. Factor -g**3 - 118*g**2 - 90 + 3*g**4 + g**4 + 2*g**4 + 192*g + m*g**3 + 2*g**4.\nAnswer: 2*(g - 1)*(g + 5)*(2*g - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2121383333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 42\/5 + (-4)\/10. Suppose -2*p = 2*u - 140, -2*p = 4*u - 121 - 15. Calculate the greatest common factor of y and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**2 - 78573*g - 157142 = 0?\nAnswer: -78571, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + i + i)*(3 - 6 + 1) + 2*i + 4*i - 4*i + 6*i - 3*i - 2*i + (-2*i + 4 - 4)*(-55 + 9 - 133).\nAnswer: 365*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + k + 6595 = -4*d, 4*k = 3*d - 3940. Does 22 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -0*o + 5*o + 10, 0 = -2*x - 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.44 * -264145\nAnswer: -116223.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u = 4*u - 18. Let k be (-2 - (-11)\/u)*28\/(-21). Solve -6 - k = -4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6957 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/(-92) + (-219)\/(-438) - 1148\/(-46)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 2*x - 2. Let k(g) = -2*g**2 - 3*g + 3. Let t(p) = -3*b(p) - 2*k(p). Let f(c) = 9*c. What is f(t(a))?\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -111\/2, -0.3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26369387?\nAnswer: 11, 2397217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 73258 = -4*k + 81766, 0 = -2*s - 2*k + 51676. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.8064 years in decades?\nAnswer: 0.58064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -32 and -0.5373032108.\nAnswer: -32.5373032108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(1 - 0) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/1449, -0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00135438635 rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 274 (c) 46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96 - t**2 - 3*t - 1299 - 705 + 264.\nAnswer: -t**2 - 3*t - 1836","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 1373*b**9\/504 + b**5\/30 + 101*b**4\/24 - 1231*b**2. Find the third derivative of x(z) wrt z.\nAnswer: 164760*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -291 at least as big as -290?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -23. What is the third derivative of 2*h**2 - u*h**3 + 2*h**3 + 5*h**2 wrt h?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - (sqrt(300) + sqrt(300)*-5*3))\/sqrt(10))\/(-3*(sqrt(1210) - -2*sqrt(1210))).\nAnswer: -5*sqrt(3)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1666 - 1668. Which is the second smallest value? (a) 2\/9 (b) 2 (c) -1.7 (d) 2\/23 (e) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1663, 1618, 1573, 1528, 1483?\n\"Answer: -45*k + 1708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -110 - -70. What is the tens digit of (-2)\/8 + (-5)\/(u\/3906)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 502784945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*a - 292. Suppose 3*y + 14 + a = 2*s, 0 = 3*y - 5*s + 96. Does 7 divide (-6)\/y - (-106)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1380 and 2070?\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 9) in base 3?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + -1. Let c(y) = y**2 + 9*y - 1. Let k be c(l). Let x = 27 + k. What is the least common multiple of x and 29?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356.8538 minutes in milliseconds?\nAnswer: 21411228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23\/4, 359, 5 in descending order.\nAnswer: 359, 5, -23\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g = 200. Suppose -2*t + 70 = -g. What is the remainder when t is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.2561528 to one dp.\nAnswer: 13.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 1557 = -3*q, 0*q - 3*c = 5*q - 2614. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 10*z**2 - 3070*z + 237165. Let h(g) = -5*g**2 + 1536*g - 118582. Let x(y) = -5*h(y) - 2*s(y). Find q such that x(q) = 0.\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, w: 1, a: 1, y: 2, i: 6, k: 2}. What is prob of picking 1 w, 1 q, and 1 y?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -7909, 1 in descending order.\nAnswer: 4, 3, 1, -7909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*a**2*x + 3090*a**2 - a*x + 5*a + 134599*x**3 + 50 wrt x?\nAnswer: 4*a**2 - a + 403797*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*r - 5*r = 0. What is the second derivative of r*w**4 - 6*w**4 - 8*w**4 - 9*w**4 + 47*w wrt w?\nAnswer: -276*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294*y + 131*y - 56*y + 283*y + 295*y.\nAnswer: 947*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 218, 471, 822, 1271, 1818?\nAnswer: 2463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*b - 36 = 0. Suppose -m - m = -b. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8471, 69021, 233733, 554687, 1083963, 1873641, 2975801, 4442523?\nAnswer: 6325887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 142, 469, 1104, 2149, 3706, 5877?\nAnswer: 8764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v**3 + 15*v**2 - 7*v - 7. Let s be h(6). Suppose -57 + s = -j. Suppose -3*b + 6 = -3*c, -c + 0*b - 5 = 2*b. Which is smaller: c or j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 27079555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8541 and 133451227.\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 2*z**3\/3 - 9. Let p(n) be the first derivative of -2*n**3 + n**2 + 45. Determine g(p(u)).\nAnswer: 72*u**4 - 48*u**3 + 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 57*v**2. Suppose -2 = 3*f + 2*z, 5*f - 3*z - 17 - 5 = 0. Suppose 3*h + 4171 = 4*l, -h + 738 = l - 303. Let y(m) = -f*m - l + 1042. Give y(c(w)).\nAnswer: -114*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**2 + 12*b - 12. Let p(k) be the third derivative of -k**4\/24 + k**3\/6 + 52*k**2. What is -12*p(g) - z(g)?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 20\/(4 + (0 - 2)). Let r(i) = -2*i + 22. Let c be r(h). Factor 3*k**3 + 2*k + k + 2*k**2 + k**c + 3*k**2.\nAnswer: 3*k*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -646*p**3 + 1498*p**2 + 1993. What is the second derivative of b(o) wrt o?\nAnswer: -3876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -149 and -150 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*d + 51 = 169*d + 4*w, 6*d - 4*w + 18 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**8*m**(-4\/11)*m\/(m\/((m*m\/m**(-2\/9))\/m))*m\/(m*(m\/m**(-2))\/m) assuming m is positive.\nAnswer: m**(679\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -5*p - 10, 2*p + 0*p + 4 = 3*j. Suppose j = -45*y + 37*y + 16. Factor 4\/5*x - 8\/5 + 4\/5*x**y.\nAnswer: 4*(x - 1)*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 1. Let k = 4680.45 + -4680. What is the nearest to k in 0.3, z, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.3 + -3.37. Let l = 0.27 + r. Let j(x) = x - 4. Let f be j(0). Which is the third smallest value? (a) l (b) 3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 + 61*s**2 - 66*s + 60. What is the thousands digit of m(-31)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 143 = -2*a - 5*m, -2*a - 142 = 2*m. Is (-11322)\/(-14) - (10 - a\/(-7)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2 + 8 = 0. Suppose 2 = -2*w - 3*a, w - f*a - 2 = -3. Which is bigger: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (58 + -30 - 19) - ((-1 - -4) + -136).\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -94 (b) -2\/145 (c) -9 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r - 13. Suppose 14*c - 1659 = -497. Calculate the remainder when c is divided by g(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-4)\/(-30) + -2 + (-1837)\/165)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, f: 11}. What is prob of picking 2 f and 2 r?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15230, -32380, -51452, -72452, -95386?\nAnswer: -120260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0*(4\/(-40) + 3\/5). Suppose p = 4*f - 8*f. Solve -4*d + 3*s - 32 = f, -d - 1 = -3*s + 4*s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 5*h + 46 = 10*u, -h + 6 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (-4 + 12)\/(-8). Suppose -2*x - 3*m - 2 + 27 = 0, -10 = -2*m. Solve 2*a + 16 = x*w + 2, 3*a = -2*w - n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 60*k - 413*k**2 + 958*k**2 - 477*k**2 = 0.\nAnswer: -2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - -4. Let t(o) = -89*o - 1. Let w(a) = 18*a. Let q(z) = -2*t(z) - 11*w(z). What is the remainder when q(-4) is divided by y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -79648 and -0.1?\nAnswer: 7964.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -111*d**3 - 10*d**2 - 25*d - 1. Is 39 a factor of v(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -32, 0.2, -5, 52 in ascending order.\nAnswer: -32, -5, 0.2, 3, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 512*s = 501*s + 21626. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**7\/504 - p**6\/24 + 5*p**5\/24 + 13*p**4\/8 - 11*p**2. Let l(t) be the second derivative of o(t). Factor l(k).\nAnswer: 5*(k - 5)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**2 + 4*a - 1 - 5*a + 2*a**4 + 3 to the form j + t*a**2 + i*a**4 + l*a**3 + s*a and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 0*r - 12. Let x be r\/36*-26 - 2. Sort x, -0.1, 2 in decreasing order.\nAnswer: 2, x, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.332 + -0.432. Which is smaller: -1125 or r?\nAnswer: -1125","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/9 + 1190\/90. Suppose c - 1 = 4*v. What is k in -3*k**4 - v*k + 3*k + 5*k**3 - 11*k**3 - 3*k**2 = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 3*d = 0, -5*r + 16 = 3*d - 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, n: 11}. What is prob of sequence nn?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, v: 5, p: 1, q: 1, y: 8}. Give prob of sequence pyky.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1519 = 9*p - 1082. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2126 - 2130. Put -0.7, -2, v in descending order.\nAnswer: -0.7, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5661898 - 4\/(-9)*(-207)\/(-46). Round s to the nearest one hundred thousand.\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 - 155*f + 1050.\nAnswer: 5*(f - 21)*(f - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121838227.\nAnswer: 7, 67, 259783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6a73 + -a?\nAnswer: -6a7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10071 and 9342.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 683136763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2))\/(42\/(-280))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 2*b + 6, 3*o - b - 3 = -0*b. Suppose 2*t = -o + 10. Is 3 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 115631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, l: 1, y: 1, s: 1}. Give prob of sequence ysl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(16\/(-36)*-6))\/(93\/124).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -129 + -3?\nAnswer: -12c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 93533976?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -17*l**3 + 6*l**2 + 5*l - 2. Determine u(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = 4*l + 44. What are the prime factors of 10\/2 + l\/4?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*f + 2*d - 12, -5*d = 3*f - 18. Let y be 20\/f*(-12)\/10. What is the third biggest value in 0.3, 0.1, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 3 - 0) + (0 - -7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.06289 - 0.06289. What is the closest to c in -0.1, 4, -1\/8, -64?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48325 and 875?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 - 2*p + 2*p)*(p**2 + p**2 - 3*p**2) + 2*p**5 + 5*p**3 - 5*p**3 + 10 + 17 - 27 - 62*p**5.\nAnswer: -61*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -166 in decreasing order.\nAnswer: 2, -2, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -2, -3, 4.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmg when three letters picked without replacement from {m: 2, f: 5, g: 9}?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-279)*1\/((-4)\/(-48)). Let q = -107\/62 - d. What is the smallest value in 2\/5, -3\/20, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(121)\/((sqrt(88)*5)\/sqrt(8))*5.\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (21\/(-63) - (-1 + 3013\/6))*-2. Calculate the greatest common divisor of f and 236.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/7 - 5237338*i**2 + 168007207921870*i\/7 - 2184087507217850\/7.\nAnswer: 2*(i - 9165335)**2*(i - 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 2, -6, -100.\nAnswer: -100, -6, 2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -66 divided by 1\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 1 - 3)*(-32 - 21*h + 9 + 18*h)*(6 - 5 - 4)*(0*h**2 + 3*h**2 - 5*h**2).\nAnswer: 180*h**3 + 1380*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/sqrt(5)*2)\/(1*sqrt(4)*-6))**2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 7*f + 1. Let h = f - -2. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 + 10 = 6*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.25205 nanograms in kilograms?\nAnswer: 0.00000000005525205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -1\/26 (c) -1\/273 (d) -0.023 (e) -1 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -70650\/53711?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/19, 0.5, 10?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 0*i + 0 + 1\/30*i**5 + 1\/18*i**4 + 0*i**3 + 0*i**6 + 8*i**2 - 1\/315*i**7. Determine f, given that y(f) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (16 - 2) + 9 - 15\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 30546.72g?\nAnswer: 0.03054672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -156*h - 619. Let s be z(-8). Calculate the greatest common factor of 119 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30300 and 320.\nAnswer: 484800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) -0.05 (c) 1761 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448)*-1 + -2 + -2 + ((sqrt(2448) + 0)*4 + sqrt(2448))*4)*5)**2.\nAnswer: -45600*sqrt(17) + 22093600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = -339 + 2004. Which is greater: 187 or h?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 29*o + 54 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = c - 17, -c + 7 = s - 0. Solve 3 = 2*z - z - s*f, -2*f = -2*z - 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**6\/60 - v**5\/20 - v**4\/8 + v**3\/2 + 2*v**2. Let n(h) = h**3 - h**2 - h + 1. Give 3*n(p) - z(p).\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -145434132 + -3?\nAnswer: -145434135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5 + 1. Let x(a) = -a + 10. Let r be x(7). Solve s + r*s**2 - 4*s**2 - t*s = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*k - 10*k = -1034020 + 3018522. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c = b - 75*c - 171 - 254, 2*b = 2*c - 10 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvlkckncnvlvvnvvntvk. Give prob of sequence vl.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 363 - 358. Solve -2*g - 19 = -z*y, 0*y = 3*y - g - 12 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-13\/4)\/a**(11\/3) assuming a is positive.\nAnswer: a**(-83\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13953, -27963, -42033, -56163, -70353, -84603, -98913?\nAnswer: -113283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 7*n**2 + 8*n - 14. Let v be u(6). Put 2, -1, v in increasing order.\nAnswer: v, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 261 = 3*v - 995, o + 2*v = 254. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 10:20 AM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -3. Suppose -2*n + 0*n = a. Suppose n*d = d - 25. Calculate the highest common divisor of 10 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5265 and 325?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -228 - -215.1. Let m = z + 13. Which is the third smallest value? (a) -3 (b) m (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3192, -6 in decreasing order.\nAnswer: 3192, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*r + 568*r - 115851 = 60*r - 1143*r for r.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**3\/7 + c**2\/7 + 16*c\/7 - 12\/7 = 0. What is c?\nAnswer: -2, 1, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**4\/12 - y**3\/2 - 16*y**2 + y - 30. Let d(q) be the second derivative of s(q). Determine d(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5709\/528 - (-75)\/400.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 137 divided by -4\nAnswer: -137\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l - 21. Let o be y(-11). Let c = 31 - o. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10673 - 10838 = -640*n + 7574 - 9245 for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/3555 and 19\/316.\nAnswer: 14220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = w + 5*w. Is w less than or equal to -13\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and 0.0744.\nAnswer: 0.8928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3, 19, 45, 81, 127, 183, 249?\n\"Answer: 5*a**2 + a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 106 = j. What are the prime factors of j?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 22*m**2 - 4*m - 6. Let c(k) = 2*k**3 - 45*k**2 + 7*k + 11. What is 11*a(q) + 6*c(q)?\nAnswer: q**3 - 28*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0 + 0)*(-2*z**4 + z - z) - 2 + 2 + z**5 + 2*z**5 - z**2 + z**2 + 231*z + 18*z**5 - 231*z.\nAnswer: 19*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41366 or 537760\/13?\nAnswer: 537760\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 502244 + -4?\nAnswer: 502240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 326*u**2 + 41*u + 89. Calculate h(-2).\nAnswer: 1311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3233713?\nAnswer: 7, 659, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35816 and 162800.\nAnswer: 1790800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3735 - -5?\nAnswer: 3740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15*1)\/(((-451)\/205)\/(5\/25)).\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3901*b + 3*b**2 - 3901*b + 121.\nAnswer: 3*b**2 + 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 6. Let p = h + -2.000001. Round p to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -3*r**2 - 3 - r**3 + 11\/4*r**4 - 2*r. Find the second derivative of g(o) wrt o.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b9c (base 13) in base 14?\nAnswer: -174d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbmrbhhyhrrbch. Give prob of sequence crh.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 204355 and 14720.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4*f + 2 + 10, -2*x = -f + 1. Suppose -4*m + x = -2*m. Which is smaller: 6 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -4\/3, -2, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 137, 207, 277, 347?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/5 + 43935716*k\/5 - 241293392554082\/5.\nAnswer: -2*(k - 10983929)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*y + 11874 = -53*y. Let p = -13537 - y. Round p to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 254\/28 - (-40)\/(-560)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 262 + 130*o - 1\/2*o**2.\nAnswer: -(o - 262)*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 363 and 14?\nAnswer: 5082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12783380 by -2556676.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -109480 + 654803\/6. Let z = o - -347. Find the common denominator of z and 0 + -1 - 44\/(-7).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -6 (b) 5 (c) -595.773\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -19. Let z be 26 + (-2 - o\/3). Let u = z + -8. What are the prime factors of u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49814184 divided by -5?\nAnswer: 49814184\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.364503 years to millennia.\nAnswer: 0.005364503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(-2*b**2 + b**2 + 2*b**2) - b + b + 2*b**2 + 0 + 0 + b**2 + (-3*b**2 - 7*b**2 + 5*b**2)*((0 + 1 - 2)*(3 + 1 - 5) + 7 - 1 - 3).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6922 and -0.3.\nAnswer: 6921.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -226756355 equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68 - -83. Suppose -6 = -3*i + j. Suppose -s + 3*d = -8 - i, 5*s - 61 = d. Calculate the remainder when 41 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -132, -471, -1038, -1827, -2832?\n\"Answer: b**3 - 120*b**2 + 14*b - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -4, -8, 2, -4\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -5 (c) 56014 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2688*l**3*w**2 + 2573*l**2*w**2 wrt l?\nAnswer: 16128*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, t: 1, x: 1, o: 1, g: 1}. Give prob of picking 1 v, 1 o, and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of y**4\/12 + 5*y**3\/6 - 6*y**2 + 9*y. Let v be k(-8). Solve -3*h = 2*b + h + 6, 3*h + v = b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -11. Suppose -5*p = 10, 10*p - 5*p = -2*l + y. Let j be (-15)\/l*3\/5. What is the second biggest value in -3, j, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 5)*8\/5. Let k(a) = -a**2 + 1. Let u(l) = l**3 + 6*l**2 + 4*l + 11. Let q(s) = 2*k(s) - u(s). Does 23 divide q(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 2*p + p)*(2 - 3 + 4)*(-10 + 4 - 12).\nAnswer: -108*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**3 + 0*b**3 - 3*b**3.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17425 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 29, 552, 1573, 3092, 5109, 7624?\n\"Answer: 249*c**2 - 224*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19584163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2516451623 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 2866.\nAnswer: 14330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2*f**3)*(20 + 13*f - 19 + 11*f).\nAnswer: -48*f**4 - 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*z - 686*z - 10998 = -155*z for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*c - 110 = 0, -f - 97 = -c - 81 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a = -10. Differentiate 3*m + m - a*m + 3 wrt m.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 686 - 688.91. What is l rounded to 1 dp?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 7 + 3 = 0. Let m = -1 + 3. Suppose m*f - 4 = 2. Sort 1, h, f in descending order.\nAnswer: f, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d - 24. Let w be o(8). Is w greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64721 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 3*y + 19, -4*n + 69 = -y + 72 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 12. Let i = g - -2.2. What is the smallest value in 3, i, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -143905*u**3 + 349977*u**2 wrt u?\nAnswer: -863430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369 is divided by 155?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3729611, -3729613, -3729615?\n\"Answer: -2*l - 3729609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29327*p**2 - 25955*p**2 + 16 - 1 - 15.\nAnswer: 3372*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (30\/(-40))\/(2\/(-96)). Put 3, d, -5, 5 in decreasing order.\nAnswer: d, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z + 6*z - 2*z + (-13*z - 75 + 75)*(-1 - 3 + 2) + (30*z - 70*z - 12*z)*(5 - 1 - 2) to q + s*z and give s.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -6, 2, -251, 6.\nAnswer: -251, -14, -6, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*z - 0*n - 99, z + 5*n + 42 = 0. Let s = -92 - z. Let j = s + 82. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12556846?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-6957)\/990 - -7)*(111\/9 + -2) and 81\/154.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58.580433 + -14.280879. Let o = c + -44.3. Round o to five decimal places.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 550.3107 nanometers in kilometers?\nAnswer: 0.0000000005503107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 40*x + 2112.\nAnswer: -2*(x - 24)*(x + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 75258381 divided by -1263?\nAnswer: -59587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 6*t = 2*n + 40, -2*n - 20 = -2*t. Let i be 2*n\/5 - -13. Solve 3*g = 5*c + i, -3*c - 4*g - 5 = -5*g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - (-26)\/(-68)) + 60\/(-120). Sort p, -5, 6\/11.\nAnswer: -5, p, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -55*j + 5. What is s(3)?\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -465.3 + 465. Let t = 0.201 + 0.599. Which is the third smallest value? (a) y (b) t (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 80 + -141. Let i = -39 - g. Suppose i*a + 4628 = 26*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 182 = -460*f - 802, -2*j - 130 = 4*f + f for j.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -139 - -1?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - s - 1. Let f = 8775 - 8776. Let r(i) = -4*i**3 - 3*i - 6. What is f*r(k) + 2*z(k)?\nAnswer: 2*k**3 + k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -18*o**4\/17 + 509962*o**3\/17 + 77816164*o**2\/17 - 17317664*o\/17 = 0.\nAnswer: -152, 0, 2\/9, 28483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*x**4 + 1869817*x**3 - 13*x**2 - 3294857.\nAnswer: -168*x + 11218902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 7\/(-14))*(-156)\/585?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4604 is divided by 361?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ber when three letters picked without replacement from {b: 5, e: 3, r: 1}?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/20*-1)\/((92\/8)\/(-23)). Suppose 0 = -x + 1 - 0. Which is the second smallest value? (a) 3 (b) r (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2604+-632790.03\nAnswer: -632790.2904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 984\/1329857?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3 + 2*o**2 - 4*o**2 + o**2 - o**2. Let r(y) = -2*y**2 - y - 4. Give -4*a(v) + 3*r(v).\nAnswer: 2*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8648638 + 4324317 + 4324321 - 5*l**2.\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 11*g**5 + 4*g**4 + 5*g**3 + 4*g**2 + 313*g. Let o(r) = 2*r**5 + r**4 + r**2 + r. Let b(t) = 4*o(t) - y(t). Find the second derivative of b(f) wrt f.\nAnswer: -60*f**3 - 30*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 406 = 569. Suppose 5*q - f = w, -2*w - 10 = 4*q - 152. Suppose -4*c - q = -5*c. 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: Put -5, 97, 2 in ascending order.\nAnswer: -5, 2, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1131 - -10?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 177166.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7488692884\/987 + 7587329. Let t = 1\/141 + l. What is the smallest value in -2, -5, 3, t?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(32\/51)*336\/126?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 172\/43*(-2)\/76\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -87, 8, -241, 0, -2, 3, -1.\nAnswer: -241, -87, -2, -1, 0, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 k, and 1 u when four letters picked without replacement from {a: 1, k: 5, p: 3, u: 3}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 + 13 - 4*s + 4*s - s**2 to the form q + i*s + g*s**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 626, 684, 1272, 2792, 5646, 10236?\n\"Answer: 67*d**3 - 137*d**2 + 696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -29\/5, -0.03, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -16*y**2. Let b(f) = -55*f - 1. Calculate b(a(t)).\nAnswer: 880*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*w + 636 + 213 = -3*b + 20*b - 20*b, -3*b + 3*w = -39 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89634?\nAnswer: 2, 3, 14939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xcxccxcccxxc. Give prob of sequence xxcx.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 6) to base 7\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 c when two letters picked without replacement from {u: 1, q: 1, n: 2, k: 1, c: 5}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.27027 years to millennia.\nAnswer: 0.07327027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**3\/3 - t**2\/2 + 3*t. Let n(u) = 3*u - 3. Let b(f) = 7*l(f) - 4*n(f). What is b(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of -3\/10*a**6 + 0*a**5 - 2*a + 2\/3*a**3 + 0*a**4 + 0*a**2 + 0. Find the second derivative of r(y) wrt y.\nAnswer: -108*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 + (-6 - -8 - 6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(5) + ((-3*sqrt(60))\/sqrt(12) - sqrt(5))).\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*w = -164. Let m = w - -144. What is the remainder when m is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 - 322 + 322.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7169*h**2*j**2 + 16*h*j**2 - h*j - 35*h wrt h?\nAnswer: -14338*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 - 3*y**2 + 0*y**2 + 4 - 4 - 2*y**2 + (0*y + y + y)*(y + 0*y - 3*y) - y**2 - 3*y**2 + 3*y**2 + 5 - 5 + 5*y**2 - 26 + 4*y**2 + 18*y**2 - 24*y**2.\nAnswer: -6*y**2 - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) - sqrt(272)*1)*6 + sqrt(272) + (sqrt(272) - (2 + sqrt(272)))*5 + -1*(-5 + sqrt(272) + -3) + 1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16520)\/11328 - 1\/(-8).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/11)\/v*v*v*((v\/(((v*v**(5\/3)\/v*v)\/v)\/v))\/v)\/v)**(1\/13)*v**(-4)*v**(-4\/5)\/v*v**8*v\/(v**(-5)\/v) assuming v is positive.\nAnswer: v**(19639\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 38*f**2 - 44*f - 175. What is the remainder when 37 is divided by q(-39)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4b6 - d?\nAnswer: 4a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 3 + 13, 5*a - 5 = -4*s. Suppose -a*m + 21 + 4 = 0. Suppose 0*r = f + m*r - 1, 4*r - 20 = -4*f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10901?\nAnswer: 11, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -818 + 130*y + 818.\nAnswer: 130*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18951750 is divided by 370?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3602\/11 (b) 13 (c) -4\/7 (d) 0 (e) 5 (f) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5408883, -5408811, -5408691, -5408523, -5408307, -5408043, -5407731?\nAnswer: -5407371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1188*s**2 + 13434*s - 9146830 with respect to s.\nAnswer: -2376*s + 13434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.5 + -19. What is the closest to 1 in x, 2, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5291663295?\nAnswer: 3, 5, 197, 1790749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2261790 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2148? (a) 0 (b) -358 (c) 3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2258 a factor of 1582383820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 15914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 17683685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 172.83 + -37.23. What is i rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 5:51 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -5) + -11 + 1 + -28 + 34?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -i**4\/12 + 2*i**2 - 8*i. Calculate x(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**3\/4 - 219908*d**2 - 879629*d - 879628 = 0.\nAnswer: -879628, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 320, 681, 1044, 1409, 1776, 2145?\n\"Answer: w**2 + 358*w - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -12. Let c be (6\/4)\/((-3)\/m). Calculate the smallest common multiple of 28 and c\/3*(-9)\/6.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 45*q**2 - 215*q + 1099. What is k(-39)?\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4984, 9967, 14950, 19933?\nAnswer: 24916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-8)*(192\/(-21) + 9 + 0). What is the closest to 1\/65 in k, 22, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*f**2 - f**3 + 213*f**2 + 216*f**2 - 867*f**2 + 214*f**2.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*b - 2*a + 292 = 0, 4*b = -5*a + 220. Suppose -4*j = -4*r + 36, -b = -5*r + 3*j - 17. Let m = r - 5. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b**2. Let k(r) = -46503*r**2 - 3. Determine k(m(x)).\nAnswer: -744048*x**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16918803 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 17*w - 35. What is t(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-19)*b\/b**(5\/3))\/(b**(-18))**(6\/29) assuming b is positive.\nAnswer: b**(-1387\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 v, and 1 j when three letters picked without replacement from {w: 3, v: 2, l: 4, x: 2, j: 2}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 12 + 7)*(-2*v**2 + v**2 - v**2 + 2).\nAnswer: -46*v**2 + 46","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o**2 + 53*o + 6. Let g be r(10). Let u = g - 136. Solve 3*d - 9 = u, 0*y + 5*d - 3 = 4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 + 0*z + 0*z. Let q = 4 - -1. Let g(l) = -2*l + q*l - l. Determine g(o(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 14085 - 142021. Let u be s\/8 + 6\/3. What is u rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -47 and 2545551004.\nAnswer: 2545550957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 6 = -8*z. Let u(w) = -3*w - 17. Let a be u(-7). Solve 5*l - 6*q + z*q + 27 = 0, 3*q = -a*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7991912.7 - -2?\nAnswer: 7991914.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -69, -2, 4 in descending order.\nAnswer: 8, 4, -2, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 72 + 8 = 0. Suppose 4*q + 2*n = 6, 4*q - 5*q - s = 4*n. Suppose q*i - 3*g - 22 = 0, -5*i + g + 31 = -g. Which is smaller: 8 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -407 + 410. Suppose 2*z + 5*x = 25, 0*x = -z + 3*x - 4. Solve -z*w = -j*w - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 + -47. Suppose 0 = -a - 2*l + 13, 0*l - 2*l + r = 0. Suppose 4 = -3*n + a. Solve -2*k + k + n = 2*b, -4*k = -4*b + 20 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 136 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -1. Let b be 5 - ((-4 - 0) + s). Solve 2*r - b*r = -25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1064 is divided by 320?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41 or 132957?\nAnswer: 132957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x**3 + 17*x**2 + 36*x + 126. What is c(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -351111, -2, -181 in descending order.\nAnswer: -2, -181, -351111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 13*p**2 - 4*p + 3. Let a(q) = -28*q**2 + 4*q - 5. Determine -3*a(u) - 5*g(u).\nAnswer: 19*u**2 + 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10277 is divided by 1017.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 9 = 4*u. Suppose -2*q - 150 = -4*a, 3*q + 2*q = -u*a + 132. Suppose -5*n + a = -2*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 100, -1\/2, -15.9 in descending order.\nAnswer: 100, -1\/2, -15.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*m**4 - 55*m**3 - 156*m**2 - 92*m - 16 = 0. What is m?\nAnswer: -1, -2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1267 + -480. List the prime factors of z.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4368*w + 52530 = 786354. Let y(l) = 3*l**2 + l. Let m be y(-3). Calculate the highest common divisor of m and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-67)\/(-290) + 516\/7482. What is the third smallest value in 5, d, 1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 9*n. Let w(c) = -62*c - 328. Let l(x) = w(x) - 2*y(x). Differentiate l(h) with respect to h.\nAnswer: -80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 4 = -58. Let d(s) = 19*s - s + 15*s + u*s. Let z(l) = 3*l. Determine z(d(t)).\nAnswer: 117*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**5\/10 + s**4\/4 - s**3\/6 + 23*s**2\/2 + 132*s. Does 10 divide k(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/4 + 21*l**2\/4 - 27*l\/2 - 46.\nAnswer: (l - 4)*(l + 2)*(l + 23)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1481 and -0.126801711?\nAnswer: 1480.873198289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 6 = b, 92*i + 4*b = 95*i + 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h*j*t**3 - 3*h*j + 5*h*t**2 + 4173*h*t - 11*j*t**3 wrt t.\nAnswer: 6*h*j*t + 10*h - 66*j*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 10*z + 41. Let h be t(5). Suppose -h*j + 8705 + 35919 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18804.3 - 20103. What is n rounded to the nearest 10?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*0\/((-3)\/(-1)). Let d(y) = 2*y**3 + 22*y**2 + 19*y - 5. Let c be d(-10). Suppose -2*j + 2 = -2*a, 0 = -j - a - 4 + c. Solve 0 = -p*z - z + j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1629383.\nAnswer: 7, 19, 12251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7372 * -0.1.\nAnswer: -737.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, k: 7, f: 1, z: 2, i: 4, h: 1}. What is prob of sequence ih?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 0 - 4 + 2*p**2 + 0 + 5*p. Let x(u) = -4*u**3 + 23*u**2 - 2*u + 52. Let f be x(6). Is l(f) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -4. Let g be t - -2 - (2 + -3). Suppose 4*h - 8 = 12. Solve g*f - 5 = u - 1, 0 = u + h*f - 17 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 10*v + 400 = 0. Which is bigger: v or 35?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 452 a factor of 594694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -65.47944059 to 1 dp.\nAnswer: -65.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0)*(-14*c + 3*c - 19*c).\nAnswer: -30*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 221197\nAnswer: -2\/221197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**3)**(2\/5))**(16\/7))**(18\/5) assuming u is positive.\nAnswer: u**(1728\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 2. Let a = -10 - i. Let l(z) = 891*z**2 + 3*z + 1. Is l(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-4)*(0 + 2). Let c(p) = p**3 - 52*p**2 - 110*p + 105. Let t be c(54). Let n be 5200001 + -4 + t\/s. Round n to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -45? (a) 672 (b) 1\/9 (c) 0.4 (d) -1 (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1770 + 1765 - (-19 - (3 + 5 + -3 + -6))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 381 (base 12) to base 3.\nAnswer: 201121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**3 + 497*t**2 + 58560*t = 0 for t.\nAnswer: -305, -192, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i - 3. Let a(t) = 5*t - 9. Calculate -3*a(l) + 8*z(l).\nAnswer: l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 0) + 8 + -7. Suppose 2*w = 2 + 4. Suppose -w*h + 561 = -q*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 529824, 529890, 530014, 530202, 530460?\nAnswer: 530794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3408 and 2536.\nAnswer: 8642688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(4*l + 2*l + 0*l)*(3 - 2 - 2)*(-l**2 - 2*l**2 + 4*l**2).\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((-24 - -41) + (2 - -9 - 2))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -3 + 34 + -12 + 18?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 2*b - 2)*(32354 - 316*b**4 - 32354).\nAnswer: 632*b**5 + 948*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30172 - 44840 = -661*h - 1313*h for h.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, -1, 0.4, 127\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 5*m - 35, 11 - 2 = -3*m. Suppose -10 = u + u, 3*o + 2*u - r = 0. What is the smallest value in o, 0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.5, 7, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -g**5\/330 + g**4\/132 + 2*g**3\/33 - 6*g**2. Find u such that q(u) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + 15 - -14 - (-19 + -4) - -42.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 - 53.3. Sort g, -1\/2, -1\/8, -6\/5 in descending order.\nAnswer: -1\/8, g, -1\/2, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -57*a**3 - a**2 - a. Let k be s(-1). Suppose -6*q = k + 69. Let l = q - -25. What is the remainder when 7 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4085585 is divided by 228?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u. Let y(o) = 1727*o**2 + 10. Calculate q(y(h)).\nAnswer: 5181*h**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -136693400 divided by -13669340?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 9:41 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jpajuii. What is prob of picking 1 j and 1 a?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -699*o + 4492 = 2*t - 701*o, -o = 5. What is the smallest common multiple of 10 and t?\nAnswer: 22410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30694 is divided by 379?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 689, 1391, 2105, 2831, 3569?\nAnswer: 4319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 124\/3 + -371\/9. What is the biggest value in 1\/5, 1\/6, i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -127 or 806?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (-4 - -39) + -18 + 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -352, -810, -1378, -2056, -2844, -3742?\n\"Answer: -55*u**2 - 293*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -592 = -7*a - a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79 + -54. Solve 5*d + g = -5*s - 0*s, 4*d + 3*s = -19 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 22359715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 205988 divided by 51497?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 3782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -240948 - 978*b**4 + 240948 + (4*b + 0*b - 2*b)*(b**3 - b**2 + b**2) + (2*b - b - 3*b)*(-2*b**3 + b**3 + 3*b**3).\nAnswer: -980*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 25*v + 27. Let n be m(24). Which is the third smallest value? (a) 1\/4 (b) 2\/7 (c) n (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -137739690 - -0.3\nAnswer: -137739689.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 65?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (-24)\/(-6) + -1. Suppose 2*a + v*a = a. Suppose 5*b - 4*q - 110 = a, -b - 4*q = -2*q - 22. Calculate the highest common factor of 33 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -22. Suppose n - w*n = 0. Let f = -25\/4 + 53\/8. Which is smaller: f or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-1 + (10 + -3 - 3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-2))\/(17\/(714\/(-21))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.34014 - -0.3415117. Round t to 5 dps.\nAnswer: 0.00137","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2314 - -2319. What is the nearest to 0.3 in 0, -1\/10, t, 322?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/65 + 191\/130. Let t = 25\/4 + -6. Which is the third biggest value? (a) i (b) t (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 6. Let d be (0 + -5)*24\/(-15). Suppose -38 + d = -3*a + h*l, -4*a - 5*l + 13 = 0. Is 7 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-24))\/(21\/168).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -4. Let r be f\/(-3) - (-492)\/9. Suppose 8 = 2*b - i, -6*b + 38 = -3*b + 5*i. Calculate the highest common divisor of b and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*w - 6 = -97*w. What are the prime factors of (189\/w)\/(18\/408)?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 455.1 to the nearest 10.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -149 + -14.8263.\nAnswer: -163.8263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -150, -354, -698, -1188, -1830, -2630, -3594?\nAnswer: -4728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90708.\nAnswer: 2, 3, 7559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -26*n + 1172. Give y(50).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4559501 minus -2?\nAnswer: -4559499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1128*n**3 - 13*n**3 + 1129*n**3.\nAnswer: 2244*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-4)\/2) + -20 + -2 + (-5796)\/(-504).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 710873440 + -0.064391\nAnswer: 710873439.935609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 156*c - 154*c - 24. Solve -c*m + 102 - 66 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 123740894?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 9*p = 5*v - 147, 3*v - 5*p = 97. Suppose v*w = 4492 - 635. Calculate the greatest common factor of 1 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78318 and 600438.\nAnswer: 1801314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 8*m**2 + 9*m - 10. Let r be o(8). Let f = -45 + r. Let v(l) = l**3 - 18*l**2 + 20*l + 6. What is the units digit of v(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5349.4 rounded to the nearest 100?\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1922841*4.\nAnswer: -7691364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (186\/(-3720))\/((-10)\/(-125))\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2231128.25 rounded to the nearest 1000?\nAnswer: -2231000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4557341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**2 + 6*l. Let a(t) = t**2 - t - 1. Let q(j) = 2*a(j) - p(j). Let n be q(-6). Put 0, 5, n in descending order.\nAnswer: 5, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/67)*d*d*d\/(d\/(d**24*d)) assuming d is positive.\nAnswer: d**(1807\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*s**2 - 64*s**2 - 60*s**2.\nAnswer: -95*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1360 (base 9) in base 8?\nAnswer: -2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15166 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 11:20 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/7 - ((-2943)\/(-189))\/((-1)\/9). What is the greatest common divisor of 160 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -320, -1092, -2380, -4178, -6480, -9280?\n\"Answer: g**3 - 264*g**2 + 13*g - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1205 is divided by 584?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*8\/(-96)*8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4956, -707, 10828, 33291, 70324, 125569?\nAnswer: 202668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d**2 + 3*d + 1. Let r be y(-5). Suppose 0 = -u + 268 - 107. Let i = u - r. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/(-84) - (-19)\/7. Suppose l + 2 = -d. Let n = 0.388 - -0.212. What is the third biggest value in n, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 12:51 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.49857 hours to microseconds.\nAnswer: 8994852000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 802.5 to the nearest 10.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (537 - 297 + 1434)*(g**2 + 2*g**2 + 0*g**2)*(-6 - 5 + 5) to the form o*g + x*g**2 + t and give x.\nAnswer: -30132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i - 1 + 1 + (6 + 1 + 4)*(1 - i - 1) as v*i + c and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3 = 13. Let p(n) = -2*n - o*n + 3*n. Let w(k) = k. Calculate w(p(x)).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 8:55 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1692\/(-470) + (-6)\/(-1)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142742.\nAnswer: 2, 149, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, n: 2, m: 1, w: 1, t: 2, a: 1}. What is prob of sequence wna?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 5:44 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 4, k: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (2 - -30) - (6947 - 6913)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 18*o + 22. Let h be l(19). Suppose 5*q = k + 1, 2*q - 3 = -2*q + h*k. Which is bigger: 3\/14 or q?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {c: 7, g: 6, y: 1, m: 5}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-1))*a**(-3))\/(a**(1\/8)*a*a*a**(-1)) assuming a is positive.\nAnswer: a**(-41\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 4*s**2 + s. Let h be w(-4). Let o be (8 - 24)\/(h\/2). Suppose o = 3*i - 1. Solve 16 = -i*d + 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**2*s**2 + r**2*s + r**2 + 780*r*s**2 - 476 wrt s?\nAnswer: 2*r**2 + 1560*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -304, -1713, -4918, -10621, -19524, -32329?\nAnswer: -49738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, 12, 27, 42, 57?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 - 20. Suppose -r = -3*s - 13, -4*s = -r - 3 + d. Suppose 15 = -3*x, 2*u + 2*x = 4*x + r. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 7*n**2 + 5*n + 19. Let x be c(8). Let z be (2 - x\/(-2))*30. Is 1*(-6)\/z - 22412\/(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*o + 1476 = 199*o + 4713 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*u + 43, u - 12 = 2*o + 4. Suppose -4\/5*a**u + 64\/5*a - 256\/5 = 0. Calculate a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmm when three letters picked without replacement from mwmmwmw?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13.7 - -2.7. Let j = 11.07 + f. Which is the closest to -1\/5? (a) 4 (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (42\/10)\/((-4)\/(-60)). Factor -a*y + 63*y - 4*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34067961887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 131376 = 10*v. Let j = 32934 - v. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68 - (23 + 34) - ((0 - 1) + 4) - 104\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00028667751 to 5 dps.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express l**4 - 1 + 21*l - 2*l**3 - 40*l + 23*l as w*l + o*l**3 + c*l**4 + u*l**2 + z and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 982714 is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-6))\/(-1)*(-199)\/((-15522)\/(-36))?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 4*z - 510 - 1538, 0 = 3*b - 2*z - 2054. Does 50 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/25)\/(6408\/5340)\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -1\/28*c**4 + 0*c + 1\/42*c**6 + 154 - 2\/35*c**5 + 2\/21*c**3 + 0*c**2. Factor j(q).\nAnswer: q**2*(q - 2)*(q - 1)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 826425?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 5) + (3 - -6 - 9)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1689 + -1245. Calculate the highest common divisor of a and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 1318*s**2 + 6*s + 25. Is g(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/12)\/((14\/(-80))\/7). Suppose -3*d = u - a - 33, 5*u = -5*d + 365. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 3077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2)*0*-1. Let c be (k - -341)*(-2 + 3)*-1. Let o = c - -544. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 + 4864\/160)\/(119\/70)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 (base 12) in base 13?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or 2\/2545?\nAnswer: 2\/2545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n + 0 = -40 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - 5)\/(38*105\/(-25270))?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223.8806 micrograms to grams.\nAnswer: 0.0002238806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-513 - -503 - (1 + -6 - 1)) + 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1331*w**2 - 425*w**2 - 1 + 1 + 1492*w**2.\nAnswer: 2398*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 262338.1ms in nanoseconds?\nAnswer: 262338100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 17. Solve 0*g - u*g = c + 9, 12 = 4*c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -30, 21, -4 in descending order.\nAnswer: 21, 4, 2, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4.545726 * 0.013\nAnswer: -0.059094438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/360*8\/(-10)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 minus -0.02661913837163?\nAnswer: -0.08338086162837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**5\/30 + 35*n**3\/6 + 98*n**2. Let a(t) = -t. Determine u(a(o)).\nAnswer: 2*o**2 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 8) to base 13\nAnswer: -5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -56112 divided by -4008\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 54118, 108345, 162570, 216793, 271014?\n\"Answer: -b**2 + 54230*b - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.32278 rounded to one decimal place?\nAnswer: 45.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 8:05 AM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-3)*(-837)\/(-124)*(-1)\/((-25)\/100)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2\/(t\/t**(-2\/9)*t)*(t*t**1\/t)**(-32))\/((t**(1\/2))**(-37)*t*(t**(3\/8)\/t)\/t*t*t*((t*t**(-2\/11))\/t)\/t) assuming t is positive.\nAnswer: t**(-11021\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 955980 divided by -47.\nAnswer: -20340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 4:54 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -256729588.34000227 - -256729590. Let g = -1.66 + y. What is g rounded to 7 decimal places?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9826.6903 rounded to the nearest integer?\nAnswer: -9827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6901)\/(-67))\/((-1*(17 - 5))\/(-12))?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -6. Let h = 8072835\/35524 + -3\/17762. Let d = h - 229. Which is bigger: i or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1170224519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -229*c - 2492713 = -2478515 for c.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 302 + 428. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-189)\/(-35) + 4\/(-10). Suppose -5*v + 0 = 5, 4*k - 1367 = -w*v. What is the greatest common factor of k and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, s: 1, r: 1, t: 1, n: 1}. What is prob of sequence rntp?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -23. Let k = -11 - c. Put k, 2, -5 in descending order.\nAnswer: 2, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*h + 23*h - h**3 - 14*h**2 in the form q + y*h**2 + w*h**3 + a*h and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 45 + 95 = 0. Suppose 4*m + 80 = 4*x, -3*x + 6*m = 2*m - 59. Calculate the remainder when f is divided by (-6)\/2*(-133)\/x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 429879946 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 168 (base 12) to base 11\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12748616.8 and 3330393?\nAnswer: 16079009.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(45) + 1 + -1*sqrt(20)\/sqrt(4) + (1*sqrt(35))\/sqrt(7) + (sqrt(320)*1 - sqrt(320) - sqrt(320))))**2.\nAnswer: -360*sqrt(5) + 4536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 5, -4*s = -0*v - v + 63. Let c be 1\/(-1*(0 + 1)). Is v\/(c + -1 + 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 20 = -r, l + 26 + 4 = 5*r for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39556*v + 23234*v + 16920*v - 20777*v.\nAnswer: 58933*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -5*o**4\/4 - 5*o**3\/3 + 5*o**2\/2 + 5*o + 40. Suppose m(d) = 0. Calculate d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(25)\/sqrt(20) + sqrt(180) + sqrt(180) + 2)*-4)**2.\nAnswer: 3200*sqrt(5) + 50256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -15*v**2 + 1 + 2 + 28*v + 4 - 1 + v**3. Calculate the remainder when 125 is divided by l(13).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 7*d**2 + 2*d. Let c(y) = 1015*y. Calculate a(c(b)).\nAnswer: 7211575*b**2 + 2030*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -4235702.\nAnswer: -4235701.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - n**2 - 7*n**3 - 2*n + 4*n**3 + 2*n**3 - 3*n**4 + 2*n**3 to w*n**3 + g*n + a + s*n**4 + z*n**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(1152\/2))\/((-2)\/(-6))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30331395?\nAnswer: 3, 5, 224677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 454305.7g?\nAnswer: 454.3057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.96 - -5. Let m = -1.04 + a. What is the nearest to 1\/3 in 3, m, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**3 - l**2 - l - 3. Let n(b) = -b**2 - b - 1. Let u(x) = 2*x**2 + x + 2. Let t(c) = -3*n(c) - 2*u(c). Calculate -r(d) - t(d).\nAnswer: 2*d**3 + 2*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31004227*f + 580 - 580 - 31004254*f.\nAnswer: -27*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 9*f**2 + f + 12. Let v be n(-9). Suppose -5*w = 5*q - 40, -4*q - v*w = -37 + 10. Factor -2*g - 3 + 4*g**4 + 6*g**q + 3.\nAnswer: 2*g*(g + 1)**2*(2*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -37 - (14 + -47) - 16\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 522.239 hours in minutes?\nAnswer: 31334.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -48*t**3 + 9*t**2 + 19*t + 13. Let w(c) = -23*c**3 + 4*c**2 + 9*c + 6. Calculate 6*p(g) - 13*w(g).\nAnswer: 11*g**3 + 2*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 529 a factor of 58169733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 31 - -4 - 6\/(-12)*8. Let o be 107\/3 + (-6)\/9. Let u = n - o. Solve 5*g - 3*g - 20 = -u*t, 3*g + 3*t - 15 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -3*a**2\/2 + 353. Let z(n) = 34*n + 6. Let s(m) = 34*m + 5. Let u(p) = -6*s(p) + 5*z(p). What is u(q(y))?\nAnswer: 102*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 4*s + 1. Let q be b(4). Let p = q + -5. Let v = 35\/2 - 173\/10. Put 4, v, p in decreasing order.\nAnswer: 4, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66300 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus -935955551820?\nAnswer: 935955551823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1461603\/1076950 + -2\/76925. Let o be 2*(-4 - -2)\/4. Calculate the common denominator of r and 110\/92 - (o - -1).\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/5)\/((-56)\/(-40)). Let l(x) = 26*x**2 - x + 2. Let f be l(-2). Let p = 435\/4 - f. What is the smallest value in p, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 100\/9, 13, -8, -4 in ascending order.\nAnswer: -9, -8, -4, 100\/9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wrreqpepree. Give prob of sequence rrrq.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13365492450 minus 13?\nAnswer: -13365492463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (660\/363)\/(1\/11)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z*z*z**(-2\/17))\/z)*z\/(z*z\/(z\/(z\/z**(-7)))*z))**4)**30 assuming z is positive.\nAnswer: z**(-18120\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89\/3, -5.9, -5, 4, -3, 0.2 in decreasing order.\nAnswer: 89\/3, 4, 0.2, -3, -5, -5.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 - 759*r**2 + 38682*r + 740880.\nAnswer: -3*(r - 56)*(r + 15)*(r + 294)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/((-9)\/3) - (1 + -452). Let t be -4 + 1 + h\/150. Is 1 smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 118026 (base 9) to base 11\nAnswer: 4976a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -490 + 338. Let r = p + 157. Solve r*f + 12 = 2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x + 4*x + 0*x + 0*x - 126 + 179 to the form y + z*x and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(-1))**(-8\/3)\/(c*c**(-4\/3)\/c)**38 assuming c is positive.\nAnswer: c**(128\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 7*g**2 + g - 3. Let m be v(7). Let u be (-8)\/4*(-45)\/6. Suppose 1 + 6 = 3*b + 5*t, 5*b + 5*t = u. Is b at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 2*c - 4. Give n(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**5\/20 - p**4\/12 + p**3 - 4*p**2. Let n(a) = 7*a**2 - 3*a + 12. Let t(w) = 5*g(w) - 2*n(w). Let m = -3 - -7. Give t(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 75*g - 76*g + 372. Is 8 a factor of (g*(-24)\/9)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/2*4 - 8\/(-5904)*-4567 and -68\/3.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10220311201 (base 4) in base 13?\nAnswer: -337543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b = 100 - 48. Sort 3, 32, b, 0 in descending order.\nAnswer: 32, 3, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.54159 and -0.032.\nAnswer: 0.50959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.07, -1, 2\/7, -0.5, -14\/15?\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 0. Suppose -3*t - 4*m = -58, 4*t - l*m = -3*m + 73. Calculate the smallest common multiple of t and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/(b*b\/b**(3\/4)*b))\/b))**(-13)\/((b*b\/b**(-12)*b)\/b*b*b\/(b*b**1\/b)) assuming b is positive.\nAnswer: b**(-229\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -641*p - 866*p + 551*p + 9560 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 523 + -518. Let s(w) = 6*w - 16. Let x be s(z). Solve x*h = 7*h + 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 33b2?\nAnswer: 33b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/9624 (b) -4 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -687130*w**2*x + 1810627*w**2 wrt x?\nAnswer: -687130*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15\/119 or -1?\nAnswer: -15\/119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 2*m**3\/3 + 1. Let r(o) = o**2 + 6*o. Let t(j) = 3*j**2 + 17*j. Let w(x) = 17*r(x) - 6*t(x). Give w(l(s)).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r**3 - 145*r**2 + 35*r = 0. What is r?\nAnswer: 0, 1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + -1800.\nAnswer: -1800.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 - 412*w + 9*w**3 + 1229*w - 408*w - 4*w**3 - 409*w.\nAnswer: 5*w**3 - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-347550)\/335965*(-290)\/(-8)\nAnswer: -75\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 152\/(-114)*(-3)\/(-2). Let i(r) = 7*r**3 - 8*r**2 - 3*r + 20. Let m(o) = 20*o**3 - 22*o**2 - 8*o + 57. Let g(d) = 17*i(d) - 6*m(d). What is g(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 42150728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1940*l + 2984?\nAnswer: -1940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0089188 rounded to 3 dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 0*v**2 + 0*v**3 + 61 + 23\/12*v**5 + 5\/126*v**7 - 55\/36*v**4 - 13\/18*v**6 + 2*v. Determine p, given that k(p) = 0.\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-3\/43))\/(w\/(w**33\/w))*((w*w*w*w**16)\/w*w*w)\/w*w**(-33)*w)**(1\/69) assuming w is positive.\nAnswer: w**(820\/2967)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 14 = 15 + 125 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iip when three letters picked without replacement from ipppphipiiphpppp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 0.4. Let s be (-1)\/5*(33\/6 - -2). Let k = -4.12 - -4.22. What is the nearest to v in k, s, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 11. Suppose 5 = 2*a - s. Solve 0 = -a*q + 5*i + 20, 2*q + i = -i + 12 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*v + 3*v + 0 + 19047*v**2 - 19047*v**2 - 23 + 1332*v**3 wrt v.\nAnswer: 7992*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**5 + 21449*w**4 + 8309239*w**3 - 13901153*w**2 + 2788808*w + 2781660 = 0. What is w?\nAnswer: -370, -1\/3, 1, 7518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -172 + (-21 - -92) - -52\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.3 + 8. Let a = -1\/3 - 1\/3. What is the nearest to a in -1, w, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 63?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*q**2 - 35*q**2 + 15*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = 3*o - 126. Suppose -70*r + 77*r = o. Let z(n) = -n**3 + 2*n**2 + 2*n + 2. Let v(c) = -3*c**3 + 5*c**2 + 5*c + 5. What is r*v(m) - 5*z(m)?\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**4\/3 - 60374*l**3\/3 + 100629*l**2 - 483028*l\/3 + 241516\/3 = 0. What is l?\nAnswer: -60379, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i - 4. Let q be m(-4). Let b = 47 + -47. Let j = 7 + -3. Solve j*a = q*z - 24, -5*z + 4*z + 4 = b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -101, 4, 1, 8 in decreasing order.\nAnswer: 8, 4, 1, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/22 - 1526\/9240. Let z(i) be the third derivative of -1\/150*i**5 + 0*i + 0 + 0*i**3 + 1\/525*i**7 + 1\/300*i**6 - k*i**4 + 6*i**2. Solve z(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -12 (b) -5 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5260 and 9470630.\nAnswer: 2630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -325, -33, -6313 in increasing order.\nAnswer: -6313, -325, -33, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6864 - 199067\/29. What is the common denominator of a and -31\/261?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297566 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/(sqrt(198)\/sqrt(2)) - (sqrt(153) + -4*sqrt(153)*-4)\/sqrt(9)) + -2.\nAnswer: -50*sqrt(17)\/3 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o**2 - 477 + 478 - 3*o**2 - 15*o**2.\nAnswer: -27*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -7.7 (c) -2\/21 (d) -56.98 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 10*o - 21. Let r be c(-9). Let q = 15 + r. Find the second derivative of -5 + 0*x**q + 5 + 6*x + 3*x**3 wrt x.\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.304 less than 0.4?\nAnswer: 1.704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211*f - 210*f = 6. Suppose -3 = -f*q + 7*q - 4*i, i - 1 = 0. Sort -5, q, -3, 4 in decreasing order.\nAnswer: 4, q, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37223 to the power of 1\/2, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -155a0 (base 13) to base 2\nAnswer: -1001111001001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7 + 2*x**2 + 5 + 30*x + 3*x**2 + 10. Let l be f(-6). Solve -z + 2*j - 2 = z, 0 = 4*z - 2*j + l for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -70*j**2 + 2578*j - 35. What is the tens digit of k(35)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4169.11 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25*f**3 + 13133*f**2 + 107797 wrt f?\nAnswer: 75*f**2 + 26266*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 2:32 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7931 + -7415. What is the highest common factor of w and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -4 + 7 + -4\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - z**2 + 3*z**2 + 0*z**2. Let v(y) = 1 - 1 + y**2. Let g(m) = 5*m**2. Let w(d) = -4*g(d) + 25*v(d). What is j(w(f))?\nAnswer: 25*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l. Let f(h) = 305683*h**2 - h + 1. Determine g(f(k)).\nAnswer: -611366*k**2 + 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 n when three letters picked without replacement from {g: 2, n: 16}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-18)\/(-60)*52\/(-6) and 1\/(-2)*80\/12.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 72, 4\/5, -1 in descending order.\nAnswer: 72, 2, 4\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2200.79 millilitres in litres?\nAnswer: 2.20079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109723\/20 - 5481. What is the common denominator of m and -1\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 153, 310, 447, 552, 613, 618, 555, 412?\n\"Answer: -2*f**3 + 2*f**2 + 165*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -231\/8 not equal to -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -70*l**5 - 32*l wrt l?\nAnswer: -1400*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055731 greater than 1055732?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 67 - 62. Solve q*x + i = -18 - 5, 27 = -5*x + i for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x = 9*x - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 3*a**2 - 5*a - 6. Let b be l(-4). Let t be (-13)\/8*(b - (-39984)\/(-5)). Let w = -12995 + t. Calculate the common denominator of -5\/14 and w.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32762, -14507, 3748, 22003, 40258, 58513?\nAnswer: 76768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 89459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, i: 3}. Give prob of picking 3 i.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -142607438 greater than or equal to -142607438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.034 - -0.034. Which is the nearest to -2\/5? (a) 2\/17 (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 AM and 2:39 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, y: 6, g: 1, j: 7}. What is prob of sequence mjjm?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 12 + 0 = 0. Suppose 0*k + h*l - 68 = 2*k, 3*k = 2*l - 97. Let i = 53 + k. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2392\/(-192) - -12)*(-6)\/33. Let r(w) be the second derivative of 1\/8*w**4 + 0 + 24*w + 7\/160*w**5 + 0*w**2 - p*w**3. Factor r(k).\nAnswer: k*(k + 2)*(7*k - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62589 (base 14) to base 15.\nAnswer: 4a3aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/20 and -68\/83671105.\nAnswer: 334684420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/13)\/y)\/(y**(-2\/15)\/y*y)*y**(-1\/31)\/(y*y**(23\/2)) assuming y is positive.\nAnswer: y**(-163853\/12090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1 = -0. Let m be 0 + 0 + (-2)\/(-21). Which is the nearest to 0? (a) u (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmw when three letters picked without replacement from mwwwmwmwmwmmm?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 52 + -1*(-2 + 3). Let f = p - 76. Let h = f - -69. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2.79 (b) -2\/43 (c) -3\/97 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 3*s**2 - s)*(4*s - 5*s + 4*s) - 4*s**3 - s**3 + 3*s**3 + (-3*s + 3*s**2 + 3*s)*(2*s - 4*s + 3*s).\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04 + -0.14. Let h = 20\/9 + -31\/18. Let z = -16 - -14. Which is the closest to p? (a) 4 (b) h (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-416))\/((-258)\/(-6708))?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -1 + -3 - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 719.830423332 from -0.3.\nAnswer: -720.130423332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.06, -1, 0.1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d**3 + 76*d**2 - 20654*d + 515721. Calculate g(25).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 37*g - 214 = 152, 4*o + 74*g + 22 = 71*g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -10151.0310401538\nAnswer: -10151.0310401538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -28080 rounded to the nearest 1000?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 572\/165*(6\/5)\/((-224)\/(-420))?\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -456*w - 4*w = 41*w. Let u be (9\/(-6) - -1)*0. Suppose -3\/4*m**5 + 3\/4*m**2 + w*m + 3\/4*m**3 - 3\/4*m**4 + u = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 6 + 22 = -4*j, -2*j = s + 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 11*f**2 - 26*f + 12. Calculate g(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-6*(sqrt(500)*-2 + sqrt(500)))\/(1*(sqrt(90) - sqrt(10)) + sqrt(360)*-3).\nAnswer: 15*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**(2\/15)*f))\/(f\/f**0*f))\/(f**(-6)\/(f*f**(-2)*f)))**(-18\/13) assuming f is positive.\nAnswer: f**(-348\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*v - 2*v - 4*g, 0 = 3*v + 4*g + 18. Let h = 2 - v. Suppose h*k - 495 = -179. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70 (base 8) to base 9\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -50 + -166810?\nAnswer: -166860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c4 (base 16) in base 3?\nAnswer: -121202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4338*o + 5. Let m(d) = d**3 - 10*d**2 - 2*d + 22. Let v be m(10). Is f(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32454 > 3.62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 - a**2 + 0*a**2)*(0*a**2 + 4*a**2 - 3*a**2)*(58 - 8 + 39).\nAnswer: -89*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 648767.\nAnswer: 7, 92681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1015\/152, 5, 17 in increasing order.\nAnswer: 5, 1015\/152, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93 + -91. What is the third derivative of -25*g**3 + 44*g**2 - 21*g**p - 6*g**2 wrt g?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 2*v**2 + 2*v - 3. Let c be x(2). Put 4, c, -3 in increasing order.\nAnswer: -3, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 35 = 3*g - 0*g, 2*w - 13 = -g. Solve -w*u = -8*u + 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*r + 7*r + 23*r + 3*r to the form s*r + j and give s.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -703 divided by -1?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 1694*z - 62775. Calculate q(37).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 20, 4, -26, 12 in increasing order.\nAnswer: -26, -2, 4, 12, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -22.7. Let m be (-4)\/(-14)*(-3 + -2 + (-16)\/(-4)). What is the closest to 0 in m, 10, 5, p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - 25 - -20 - (-1 + 43). What is the nearest to t in 1\/10, 3\/4, -2\/11, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**3 + 4*w**2 - 114. Let c(j) = -6*j**2 - 17*j. Calculate -6*c(z) - 13*g(z).\nAnswer: -3*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (1 + -3 - -4 - 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -830, -864, -898, -932?\nAnswer: -966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20.84 + -18.6. Let p = r + -2.34. Let s = 13 - 40. Which is bigger: p or s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -318 - -6577. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32066 * 0.0625.\nAnswer: 2004.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*o - 937, 3*o - 1377 = -56*g + 61*g. Calculate the remainder when o is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**9\/15120 - g**8\/2240 - g**7\/840 - g**6\/720 + g**4\/8 + 2*g**2. Let q(x) be the second derivative of j(x). Factor q(d).\nAnswer: -d*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4854, 38720, 130638, 309636, 604742, 1044984, 1659390?\nAnswer: 2476988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mrs.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.8595*356.\nAnswer: 2085.982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 + -0.6. Let k(f) = -f**2 - 5*f - 3. Let a be k(-2). Suppose a*s + 1 = -4*h, -2*s + 6*s + 2*h = -8. Sort s, o, -0.1.\nAnswer: s, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116682.\nAnswer: 2, 3, 19447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1656 - 1655.984. Let t = -11885 - -11885.015997. Let a = z - t. What is a rounded to seven decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.32 (b) -4 (c) 49 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59*o**2 - 540*o**2 + 99*o**2 + (2 + 2 - 2)*(-o**2 + o**2 - 4*o**2))*(-3 + 3 + 2).\nAnswer: -780*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 3049372.\nAnswer: -1\/762343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 2 = 5*v + 18, 16 = -4*k + 2*v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5690*a**2*v**3 - 32*a**2 - 217*v**2 wrt v?\nAnswer: -34140*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**4\/10 + 62*a**3\/5 + 397*a**2\/10 - 108729*a\/5 - 65268 = 0. What is a?\nAnswer: -98, -60, -3, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.36 - 5.94. Round w to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3963 - -1.0963. What is the nearest to 0.1 in -3, y, 55?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (7 - 5)*1*-1. Let h be (-6)\/(-9) - (c + 94\/6). Which is greater: h or -13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*t - 22, 0*q - 47 = -3*t - q. Let b = t - 13. Calculate the remainder when b is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 214 - 14?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 91646 and -3658.773.\nAnswer: 87987.227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 + 51. Suppose 0*t = -4*t - m*f + 8, 5*f = -5. Differentiate 5*p**t + 67 - 51 - 5*p**3 - 13*p**4 with respect to p.\nAnswer: -52*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21506, -42991, -64472, -85949, -107422, -128891?\n\"Answer: 2*w**2 - 21491*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1 + (1 + 4 - 3)*(0 + 5 - 3) + 0 + 3 - 4 - 5 + 0 + 2)*(-19775 - 3*z**5 + 19775 + 7*z + z**3).\nAnswer: -3*z**5 + z**3 + 7*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 275*p - 279*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9949769 to the power of 1\/3, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omoo when four letters picked without replacement from mmmmmmmoommmmommommm.\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.07 + -0.21. Let u = 80.2 + 10.8. Let p = u + -90. Sort 0, p, c.\nAnswer: c, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 25 = h. Suppose 7*j + h = 19. What is the second derivative of -25*a**j - 21*a + 34*a**2 + 6*a wrt a?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, 52\/465, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 769344.175 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11157, 22313, 33469, 44625, 55781?\n\"Answer: 11156*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/381 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**4 + 51008*u**3 + 31*u**2 - u**4 - 51006*u**3 - u to r*u + o*u**4 + b*u**2 + z*u**3 + j and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 7 = -2*m, 5*h - 3*m - 15 = -8*m. Which is the nearest to h? (a) 2 (b) -5\/2 (c) -6 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*h - 2*h = 958, -2*x - 2*h - 950 = 0. Let t(k) = 78*k**2 - 5*k + 7. Let g be t(3). Let f = g + x. Is f 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 mmqmmmmmcc. What is prob of picking 2 m?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17452?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.184469 and 49?\nAnswer: 47.815531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**5\/20 + z**4\/4 - z**3\/6 + 8*z. Let t be g(-2). Suppose -2*m = -t*m + 92. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n**(1\/7)*n*n*n**(-2\/9) assuming n is positive.\nAnswer: n**(247\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-50)\/(-4) + 2\/(16\/12). Suppose b*g + 20306000 = 25*g. What is g rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63 + -60. Solve h = -5*i - 25, q*h + 11 = -4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 8:53 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 17*q - 13. Let y be o(16). Calculate the smallest common multiple of 4 and (-2)\/6 + 25\/y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (2 - (-4 - 1)) + 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ene when three letters picked without replacement from qqsinqiiee.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*t + 11015 = 2783. Calculate the remainder when 2*(t\/6 - (-2 + 2)) is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1406406309 divided by 77\nAnswer: 18265017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26369 or -2912?\nAnswer: 26369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l**2. Let u(a) = -42*a + 1737. What is u(r(n))?\nAnswer: 210*n**2 + 1737","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b + 14. Let n be q(-10). Factor n*g + 3 + 5*g**2 - 1 - 3*g**2.\nAnswer: 2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {v: 6, l: 6}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 427 - 421. Let p(o) = 9*o**2 + 17*o - 7. Let l(r) = -4*r**2 - 8*r + 3. What is z*p(x) + 13*l(x)?\nAnswer: 2*x**2 - 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -283492 (base 16) in base 8?\nAnswer: -12032222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2342 - 0?\nAnswer: -2342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5248753 - -8416901. Let x be (-2 + 7)\/15 + k\/6. Suppose -4*j + 20 = 0, -5*j + x = 2*f + 2*f. Round f to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 6*o**2 - 2*o + 5. Let s be x(-3). Let f be s + 15 + (-14)\/(-10). What is i in 1\/5*i**3 - 1\/5*i + f - 2\/5*i**2 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 8*l - 3. Let g be q(7). Suppose -g = -2*o - 10. Is (1 - 3)*-170 + o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 4*r**4 - 80*r**3 + 296*r**2 + 848*r + 468 = 0?\nAnswer: -1, 9, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5719693.7 rounded to the nearest one hundred thousand?\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*q = -583, -q - 767 = -4*s + 12. Suppose 2*b = 3*a - 23, -a - 3*b + 6 + 20 = 0. Suppose 564 + s = a*h. List the prime factors of h.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6625, 13382, 20141, 26902, 33665?\nAnswer: 40430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 52114.97 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i - 4. Let r(z) = 2*z**2 + 10*z - 3. Let a be r(-8). Let j be (-215)\/a - 4\/18. Let u be v(j). What is the greatest common divisor of u and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 623164 (base 8) to base 16.\nAnswer: 32674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 21 = 2 - 2 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -452098 + 1338662207\/2961. What is the common denominator of q and -25\/611?\nAnswer: 38493","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1142310?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/10 of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = l - 9, 0 = 2*l + 38*a - 33*a - 25 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74144350 to the nearest integer?\nAnswer: 8611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -7754.\nAnswer: -7754.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 - 3*u**2 + 29*u + 65. Let m be q(-3). Solve -w + 23 = -m*s + 2, -4*s - w = 15 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140812 is divided by 277.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 937, 1949, 2961, 3973, 4985?\n\"Answer: 1012*y - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 172103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 12:19 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 7*t**3 - 16*t + 64. Let v(s) = -3*s**3 + 8*s - 32. Let u(o) = 4*f(o) + 10*v(o). What is the first derivative of u(g) wrt g?\nAnswer: -6*g**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 15 = -2*p. What is the second derivative of f**3 + 5*f**3 - p*f**3 + 0*f**3 - 5*f wrt f?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 160 + -160.7. Sort 16, 0, s, -1 in ascending order.\nAnswer: -1, s, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-5) - (-17816260)\/25. Let x be (50\/4)\/(1\/13012). Let c = d - x. Round c to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t - 36. Let q be y(19). Suppose -5*g = 15, q*g = -4*u + 6*g + 24. What is the tens digit of 2*((-41)\/(-2) + u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -388 - 47*i + 81*i + 61*i + 107*i. What are the prime factors of s(7)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*i**3*m**2 + 10*i**3*m*z + 357*i**3*m - i**2*m**2*z - 33*i**2*z + 2*m*z wrt i.\nAnswer: 30*m**2 + 60*m*z + 2142*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69 + 72. Suppose 3*y + 3*f = 7*f - 13, 4 = -d*y - 5*f. Let o be 3063 - y\/(1 - 2 - 0). What is o rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 4:02 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 41431854, 82863712, 124295570?\n\"Answer: 41431858*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 696090 = 696081?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 10*q - 12. Is q - (1 + -3 - 144) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**2 - 56*q + 159. What is c(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4325853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124, -108, -86, -58, -24?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**3 + 24*a**2 - 18*a + 4. Does 10 divide m(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -23*n + 577. What is z(23)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47\/(-5) + 9)\/(14\/(-595)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 5*q + r = 6, r + 19 = -4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 6*p**2 + 8*p + 9. Let c be x(7). Suppose 0 = -g + 5*g - c. Put 5, g, -2 in increasing order.\nAnswer: -2, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1.105 (b) -51 (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*p - 525, 4*a + 4*p - 412 = -0*p. What is the remainder when a is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -602*361903.\nAnswer: -217865606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*o + 86437 - 86437.\nAnswer: -27*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22133 + 2132?\nAnswer: 30331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 25, -3*t + 3*j + 4 = 10. Let o(y) = -5*y + 2. Is o(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 6:46 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21406.4743993 + -7543.5843981. Let c = g - 13863.79. Let p = 0.9 + c. Round p to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - (3 + -1))*(-5 - -4). Put 4, 1, c, 6 in descending order.\nAnswer: 6, 4, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - -17) + -17 - -7?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*b**2*q**2*s**3 + 166*b**2*q**2 - 17*b*q**2*s**3 + 6*b*q**2*s + 2*q**2*s**2 - 2*s**3 wrt b.\nAnswer: 18*q**2*s**3 + 332*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 y, and 1 m when four letters picked without replacement from mimmmycy?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 66*q**2 + 4*q - 7. Is j(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444 is divided by 310.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/112)\/((-408)\/2176)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of 0 + 0*i**4 + 1\/6*i**3 + 2*i**2 + 1\/60*i**5 + 0*i. What is the derivative of t(h) wrt h?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30331000 (base 4) in base 15?\nAnswer: 10ac1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279303807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-8)*(-4)\/15. Which is the third biggest value? (a) 5 (b) p (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 4*r - 38, -4*r + 0*r = -4. Let k be (-5)\/(-10) + (-15)\/s. Which is the second smallest value? (a) -0.4 (b) 2\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y. Suppose -407 = -3*q - 95. Let v(g) = -q + 104 - 38*g. Determine p(v(t)).\nAnswer: -76*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10)\/(-85) - (25214\/(-119) + -5).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -596, -948, -1508, -2252, -3156?\nAnswer: -4196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, -0.16, -2, -689 in increasing order.\nAnswer: -689, -2, -0.16, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 8:42 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + l**2 - 3*l**2)*(4*l**3 - 8*l**3 - 4*l**3) - 7*l**5 - 2*l**5 - 4*l**5 - 46*l**3 - 29*l**5 - 1 + 46*l**3.\nAnswer: -34*l**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a year?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*q = -q + 20, r - 4*q - 20 = 0. Suppose 2*i + 3*b + 2 = r, 2*b = -8. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of -s**4\/12 + s**3\/2 + 29*s**2\/2 - 15*s. Let t(n) be the first derivative of r(n). Let m be t(1). Solve 2*p - m = 3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/(l*(l\/(l*l\/(l\/l**(-23))))\/l))\/l))\/l*l*l*l*l**(-1\/20)*l*l*l assuming l is positive.\nAnswer: l**(579\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -2*u + 13*k - 6, -4*u + 9 = k for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-261)\/116*(4\/12 + 1\/1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(3) + sqrt(6)\/(sqrt(18) + sqrt(2))) + (sqrt(228)\/(sqrt(12) - sqrt(12)*-3*-5))**2.\nAnswer: 19\/196 + 4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 3*c - 3. Let i(m) = 2 - 1 - m + 0. Let d(s) = 4*i(s) + v(s). What are the prime factors of d(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1530178?\nAnswer: 2, 13, 229, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 113\/120599 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 136530 - -25?\nAnswer: 136555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**4\/7 - 578*w**3\/7 + 23420*w**2\/7 + 24000*w\/7 = 0. What is w?\nAnswer: -1, 0, 50, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 25, 0, 3, 2\/7067 in increasing order.\nAnswer: -9, 0, 2\/7067, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 558*a + 6*a**3 - 635*a + 2*a**4 - 4*a**3 + 1 - 4*a**3 + a**2 as t*a + l + d*a**3 + i*a**4 + v*a**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**2 - 85739 - q**2 + 85739 + 4*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6 times -7687?\nAnswer: -27673.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 7 - 3)*(0*v**3 + 11*v**3 + 3*v**3) + 2*v**2 - v**3 - 2*v**2 to j*v**2 + o + i*v + k*v**3 and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2740?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-44)*3\/(-9)*-4\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2638815 - -5?\nAnswer: -2638810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 9:42 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*h + 440. Let u be 20\/h + (-700)\/22. Let r be 8\/u - (-15)\/(-36). Which is the nearest to r? (a) -3 (b) -5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18684565.\nAnswer: 5, 557, 6709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 105424851 rounded to the nearest one million?\nAnswer: 105000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278*l - 11662 - 29*l + 11662.\nAnswer: 249*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53228 - 26711. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3*(sqrt(2736) + -3) + -6*(3 + sqrt(2736)))**2*5 + -5 + 0.\nAnswer: 9720*sqrt(19) + 1108478","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 - 0.85. Let y = -210 - -209. Sort r, y, -0.3 in descending order.\nAnswer: r, -0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 plus -4.7?\nAnswer: -46.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**9*(a\/a**(4\/3))\/a)\/(a\/a**0)**(-49)*(a**8\/a*a)\/(a\/(a**(-1)*a))*(a*a**(-7\/5))\/((a\/(a**(1\/5)\/a)*a)\/a) assuming a is positive.\nAnswer: a**(922\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 - 212202201010120?\nAnswer: -212202201010012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1936?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 9 - 21. Let p(s) = 2*s**2 + 2*s + 2. What is p(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-132) - (-4 - (-51)\/12).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*a - 37 = -1, 0 = -5*k - 3*a + 38. Suppose -4*x + h + k = 0, -2*x - 5*h + 6 + 10 = 0. Differentiate 4*q + x*q + 69 - 3*q - 22 with respect to q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7037*p - 1838*p - 1 + 3227*p + 3429*p to t*p + f and give t.\nAnswer: 11855","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1340112.3 months to centuries.\nAnswer: 1116.76025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -103*y + 7407. Calculate d(72).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -616300 to the nearest ten thousand.\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83942999 and 1042?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -305.35 + -0.65. Let u = o + 302.92. Round u to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.17 - 0.17. Let n = -3.6 + 10. Let i = h - n. Which is the third biggest value? (a) i (b) -5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.1407 + -0.1407. What is the closest to -0.1 in 30, f, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 4*z - 60 - 200, -330 = -4*g - 2*z. Suppose 0 = -39*u + 46*u - 56. Let o be (u\/(-8))\/(4\/(-20)). What is the highest common factor of g and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 9*j - 82. Let l be g(-15). Solve 5 - l = -3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/8 (b) -0.4 (c) -1\/34 (d) 0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.9 + -9.9. What is the nearest to m in 0.5, -2\/11, 9\/10, 0?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8647 + -8125. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 29, 51, 93, 161, 261?\nAnswer: 399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 c, and 1 s when three letters picked without replacement from {a: 1, s: 1, c: 2, w: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((168\/(-9))\/8).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 9*j**4\/4 - 5*j**3\/3 + 5. Let a(q) be the second derivative of -q**5\/2 + q**4\/2 - 75*q. What is -5*a(w) - 6*l(w)?\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 11 = 4*r - 9, -2*f + 10 = 2*r. Suppose r*t - 13 - 2 = 0. Suppose 0 = 13*u - 9 - 30. Calculate the remainder when u is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3567*i + 115898100 - 3576*i - 115898100.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 103 - 59. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 4*o**2 + 7*o - 3. Let k(z) = z**3 + z**2 - z. Let w(i) = 2*k(i) - u(i). Is w(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-414)\/56)\/9 + (-1)\/(-4). Let q = -33 - -298\/9. What is the nearest to 2\/5 in -0.1, n, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81089?\nAnswer: 131, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 + 12*w**3 + 41.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 450 = 5*d. Let h be (-6)\/d*36\/2. Let f = h + 8\/25. Which is smaller: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.38 - 0.38. What is the nearest to 0 in -0.3, 5, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120 divided by 3\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 12*u**2 + 16*u - 100. Let s be k(-17). Let q = 3400 + s. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 9.3, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(45\/(-3)) - 24\/(-105). Is 1\/12 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-33)\/12 + 1)*4. Let a = -5 - b. What is the second derivative of 2 - a + 2*p + 2*p**2 wrt p?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + z**2 + 2*z**3 + (1 - 3 + 1)*(2*z**3 + 2*z**3 - 3*z**3) + 2*z**3 + z**3 + 0*z**3 + 10*z**3 - 38*z**3 + 13*z**3.\nAnswer: -11*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-2))\/((24\/(-112))\/(-3)). Let r = -3 - -13. Suppose 3*k - r = -2*k. Solve -k*c = -h*c - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*l = 6*l - 432. Let g(f) = -f**3 - 17*f**2 - 11*f + 24. What is the hundreds digit of g(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1377)\/(-243))\/(85\/705)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -90392, -89642, -88892?\n\"Answer: 750*s - 91142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-88812)\/42294 - -2) + 32\/304. Which is the second smallest value? (a) w (b) -0.1 (c) 5 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j**2\/3 - 1472*j\/3 - 491 = 0. What is j?\nAnswer: -1, 1473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 1134?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -4. Let s be 7\/21*(3 + 0). Let l be (s\/4)\/((-4)\/(-32)). Solve w = -n + l*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297 is divided by (3\/((-3)\/97))\/((-13)\/13).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31605.23 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 + 1367509*w - 5*w**3 + 1 + 4*w**3 + 1473938*w.\nAnswer: -w**3 - w**2 + 2841447*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*r + 6435 + 3278 = -89*r + 249 for r.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 257 - 261.12. Let f = 0.07 + 0.05. Let k = f + h. Sort k, 5, 0 in increasing order.\nAnswer: k, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 - -2.6. Let x = n + -2.8. Is -1 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**3 + 30*t**2 - 39*t + 52. Let g be s(13). Calculate the highest common factor of g and 7072.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*j - 5. Suppose j*w = 6*w - 28. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 572 - 104 = 18*q + 18*q for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 28*t**2 - 459*t - 2643. Calculate i(-6).\nAnswer: 1119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -4*p + p + 14, 4*c = p - 23 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27560 and 41288.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3411656?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 20\/6*(-78)\/(-65). Let p(n) = g - 7 + 4*n + 5 - 5*n**2 + n**3. Let d be p(4). Solve -3*z - 3*a + 0*a + 9 = 0, d*a = z + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72853?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 6 (b) 0.3 (c) -3 (d) -4\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3855 - 3846 - 4*k + 9*k. Determine m(-10).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3609697 divided by -3?\nAnswer: 3609697\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 - 7*m - 4589*m**3 - 5053*m**3 + 11710*m**3.\nAnswer: 2068*m**3 + m**2 - 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**5\/d)\/d*d**2*(d**1*d)**(16\/3) assuming d is positive.\nAnswer: d**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6*9\/(-6)*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004861 rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14950, -14955, -14962, -14971?\n\"Answer: -f**2 - 2*f - 14947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z. Let y(x) = -2*x. Let b(r) = -4*g(r) + 5*y(r). Let d(i) be the first derivative of 54 + 0*i**2 - 10\/3*i**3 + 0*i. Determine b(d(t)).\nAnswer: 20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-32))\/((-2)\/8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -3 (c) -4 (d) 2 (e) -2\/7 (f) 134\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - g - 431 = -432, 31 = 3*o - 5*g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 378652350?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 198037 + -1390288\/7. Are -577 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 544 = -3*j + 5*x + 505, -j - 2*x = -9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4*r - 1344 = 0, -t + r = -2*r - 647. Suppose -3*g = -5*g + t. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 18918*o + 283806. Calculate l(-15).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(6\/5)\/t**(1\/3))\/(t**2)**(-42\/11)*(t**4*t**8)\/(t**7*t*(((t\/(t**(-2)*t)*t)\/t)\/t)\/t) assuming t is positive.\nAnswer: t**(2063\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q + 1. Determine r(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v**2 + 1457*v + 18336. Determine a(-13).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 u when three letters picked without replacement from {g: 8, u: 10, z: 2}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 1264 + -191. Is 11 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 778 + -777. Let b = 29\/69 + -2\/23. What is the third biggest value in -2, w, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 305.\nAnswer: -1\/305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.6 - -11?\nAnswer: 34.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2605481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f. Let t(r) = 4*r - 5. Let p be t(5). Suppose 0 = i + 3*b - 11 - 6, -p = 5*i - 5*b. Let o(g) = i*g + g - g. What is c(o(n))?\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3\/4 - 695*d**2\/4 + 15965*d\/4 + 3554015\/4.\nAnswer: -5*(d - 67)*(d + 103)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/40 of a day?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -102, -3\/2, -118 in increasing order.\nAnswer: -118, -102, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18145 and -34?\nAnswer: 616930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n - 2. Let k(t) = -3*t + 1. Let w(s) = 4*a(s) + 5*k(s). Let q(b) = 20*b + 8. Let l(g) = 3*q(g) + 8*w(g). Let p(f) = -f. What is p(l(m))?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -l**3\/15 - 4*l**2\/5 - 16*l\/5 + 10. What is c in z(c) = 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -435 = -5*f - 5*v, -f + 2*v = 4*f - 470. Suppose 4*w = -k + f, w - 22 = k + 6. What is the greatest common divisor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**5 + 458*y**4 + 34196*y**3 + 843284*y**2 + 1585802*y + 776258 = 0.\nAnswer: -89, -49, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -555 - -558. Suppose 4*z - 3*z - 26 = -p, 30 = z - a*p. What is the remainder when z is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, m: 5, e: 4}. Give prob of picking 4 m.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -627 + 628. Suppose 2*p - 45 = -5*m, -53 = 2*m - 5*m + 4*p. Suppose -m = -2*d - 3*h, 6 = 4*h - 2*h. Solve -d = 2*a + k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)*4)\/sqrt(11))\/(4*sqrt(3)*2) + 3.\nAnswer: sqrt(5)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 20 - -0.047\nAnswer: 20.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*a - 85 = 96, -3*a = -5*v + 210. List the prime factors of v.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**2\/2 + 92. Let s(o) = 11*o + 13. Calculate n(s(t)).\nAnswer: 11*t + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2777 and -47.1.\nAnswer: 130796.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24600 divided by 4920.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 12 = -2*q + 4*b, 6 = -4*q + 5*b. Let j(l) = 14*l**2 - 32*l + 4. What is the remainder when j(q) is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l**2 - 3663*l + 18340. What is y(5)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6353 - 6350. Let y(a) = 3*a**2 + 2*a - 7. Determine y(w).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d + -1124?\nAnswer: -1106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-228)\/(-266)*(11\/3 - -1). Solve 2*c - 3*j = 4, 0 = w*c + 5*j - 13 + 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 5*l - 2. Let u be r(4). What is the third derivative of -u*s**6 - 6*s**2 + 3*s**2 + 7*s**6 - 7*s**6 wrt s?\nAnswer: -240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15179\/8 + 1903. Calculate the common denominator of b and (-792)\/96*(-4)\/564.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 - 753 = 145*o + 4183 + 5604 for o.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 699 - 713. What is the second biggest value in 0.4, 7, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96966858 and 8376?\nAnswer: 2094","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3092 rounded to 2 dps?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ku when two letters picked without replacement from luukkllukuk.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.091 in 5, -1, 5\/3, 2, 555, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 6*g**2 - 10*g - 9. Let o be b(-4). Let x be 12\/(-8)*(-6 - 0). Sort -4, x, o in decreasing order.\nAnswer: x, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 6. Suppose -3*p - 3*w + 5 + 7 = q, -2*w + 9 = p. Which is greater: 2\/5 or p?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 3, 0, 93, -1 in increasing order.\nAnswer: -12, -1, 0, 3, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 8*q - 10. Let a be b(8). Let n be 20\/(-50) - a\/(-10). What is the units digit of 319\/n + 2 + 6\/30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - y. Suppose 0 = 3*m - 2 - 7. Let n(d) = -4*d**3 - 9*d**2 - m*d**2 + 9*d + 3*d**2 + 3*d**3. Determine 2*n(s) + 18*x(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w**2 + 21. Let r(m) = 4*m**2 - 21. Let i(s) = -4*r(s) - 3*v(s). What is the first derivative of i(y) wrt y?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 883529079 to the nearest integer?\nAnswer: 29724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22633936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 60 - 6b0?\nAnswer: -650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 505825 to the power of 1\/2, to the nearest integer?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 1048 = -1084. Let y be i\/(-15) + 3\/((-90)\/(-48)). Solve -y*g + 2 = -2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -217*l - 253. What is the tens digit of w(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.5 (b) 1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(5\/3))\/(6996\/(-26235)).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -21, -30, -49, -84, -141?\n\"Answer: -g**3 + g**2 - 5*g - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -102*m**2 + 26*m - 92. Let w(d) = 47*d**2 - 11*d + 46. Determine -6*q(y) - 13*w(y).\nAnswer: y**2 - 13*y - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16729960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31*-0.5.\nAnswer: 15.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**22\/b**(-5\/7) assuming b is positive.\nAnswer: b**(159\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.858978 centuries in decades?\nAnswer: 38.58978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5496 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 8*h**3 + 1246*h**2 - 1247*h - 7. Let b(d) = 5*d**3 + 830*d**2 - 830*d - 5. Let o(v) = -7*b(v) + 5*x(v). Factor o(s).\nAnswer: 5*s*(s - 1)*(s + 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464669 is divided by 358.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 31, 64, 117, 196, 307, 456, 649?\nAnswer: 892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3.36 (b) 5.8 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-188)\/1645*21\/6\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 16 = -3*r, r = -3*l + 3 + 9. Put l, -2, 3 in ascending order.\nAnswer: -2, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9610 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.2 - 0.9. Let q = n + -0.36. Suppose 0*z = -3*z - 15. What is the third biggest value in z, 0, q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**5 + 2*c**5 - 120*c**3 + 125*c**3 + 906*c**2 - 3*c**6 - 891*c**2 + 89 wrt c.\nAnswer: -360*c**3 + 60*c**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641616.\nAnswer: 2, 3, 13367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 451400 and 152440.\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 3*t**5\/20 - t**4\/6 - 2*t**3\/3 + 3*t**2\/2 - 17*t. What is the units digit of b(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.9 - -0.1. Let h = -3.8 + 4.2. What is the nearest to h in v, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12977 - -14501. Is p greater than or equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4\/3 (b) 0.4 (c) -4 (d) 539\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xllxllxlxxll. What is prob of picking 3 l?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 360941672 and 546.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10343 + -3152?\nAnswer: 7191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 624 divide 1082016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2857 (base 10) in base 9?\nAnswer: 3824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 4.83. Let d = i + -0.1699975. Round d to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1654086.\nAnswer: 2, 3, 7, 39383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d + 2*d - d)*(2*d - 5*d**3 - 7*d**3 - 13 + 8*d**3) + 1 - 1 - d**4 to the form h + f*d**3 + z*d**4 + k*d**2 + w*d and give z.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 12:48 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12350629\/120 + -102923. Calculate the common denominator of -89\/132 and q.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126350000 rounded to the nearest one million?\nAnswer: -126000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5*i - 8. Let r(h) = 6*h - 9. Let u(f) = 29*f - 37. Let m(o) = 9*r(o) - 2*u(o). Calculate 5*j(a) - 6*m(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 5*a**2 - a + 2. Let f be w(-5). Solve f - 22 = -3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 14*g + 31. Let n be c(-2). Suppose 0 = 5*i + 5, n*p = -3*i + 4*i + 13120. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - 27. Let q be (p*1)\/(54\/72). What is the remainder when (10 + q)*(-6)\/(-4) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168914 divided by -3715.\nAnswer: -168914\/3715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -81 + 8754257?\nAnswer: 8754166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 6*y**2 - 5*y - 10. Let x be w(7). Suppose -3*n = -x*n. Suppose n = 3*c - 592 - 419. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*h - 1730 - 2303 = 98 for h.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2232162231 and 0.4.\nAnswer: -2232162230.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 34*d**2. Let p(y) be the third derivative of 0 + 0*y**3 + 11\/24*y**4 - 256*y**2 + 0*y. Determine p(s(f)).\nAnswer: 374*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - 8. Let q = 15 + d. Let l(t) = -3 - 2 - q*t + 8. Calculate l(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 15*l = -93. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7, 1\/2, -24?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 2*h**3 + 3*h**2\/2 - 2*h + 1. Let q be (-2 + -7 - -2) + (64\/4 - 10). Let d(o) = -o**2 - o. Determine q*v(i) - 5*d(i).\nAnswer: -i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2978?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 59935227 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -37, -53, -75?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/4)\/y)**(3\/25)\/((y\/y**(-2\/5))\/y*y**(-2\/5)\/y))**(-23\/6) assuming y is positive.\nAnswer: y**(-2093\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 14 = -2*w - 3*u, w + 3*u = 9. What is the greatest common factor of w and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*c**3\/3 + 237*c**2 - 3065*c\/3 + 124.\nAnswer: (c - 4)*(c + 93)*(8*c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + t - 3, 5*x + 7*t - 1 = 4*t. Suppose 0 = -x*z + 339 - 91. Suppose -5*p + 115 = -10. What is the remainder when z is divided by p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, u: 6, z: 2, m: 8}. Give prob of sequence uull.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -726323 divided by -1\nAnswer: 726323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 t when two letters picked without replacement from miinitimhmhfi?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19165 (base 10) to base 13.\nAnswer: -8953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -78853721.\nAnswer: -78853720.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 315.\nAnswer: -31.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -46, -40, -18, 26, 98?\n\"Answer: u**3 + 2*u**2 - 7*u - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or -1.41?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 4. Let x be 2\/(-3) + (-2)\/(-12). Let p be (1056\/(-28))\/(-6) - (1 + 5). Which is the closest to p? (a) l (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 4*a + 6, -5*n - 209 = a - 179 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 12*o + 145*o**2 - 290*o**2 + 4*o - 2 + 139*o**2. Suppose 4*i + 4*a - 3*a = 39, i + 3*a - 7 = 0. Let w(h) = 2*h**2 - 5*h + 1. What is i*w(m) + 3*z(m)?\nAnswer: 2*m**2 - 2*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -59, -54, -45, -32, -15?\n\"Answer: 2*j**2 - j - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 330 - 316. Suppose -84 = -q*k - 0*k. Solve 0 = -2*a + k - 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (432\/(-80) - -5)\/(6\/25). What is the smallest value in n, 17, 5, 11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 45*i**2 + 191*i - 171. Give w(-49).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.11 rounded to zero dps?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(300))\/(-1*1*sqrt(6)) + -5 + sqrt(128) + 1 + -3 + 5)**2.\nAnswer: -92*sqrt(2) + 1062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 3*s. Let h be x(-3). Suppose h = 2*f + 2*f - 8. Let m be (-175)\/(-28)*(-4)\/(-10). Is m smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1745546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/4)\/(16\/56).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 0, 4*u + 5*g - 2 = 18. What are the prime factors of (-4)\/4*u + 216*2?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.151122722 - -0.15111. What is v rounded to 6 dps?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38805 + 38804.656. Which is the second smallest value? (a) i (b) 3 (c) 0.2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 919112149.\nAnswer: 31, 79, 263, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 31*m**3 + 2*m**2 + 46*m - 2. Let z(b) = -495*b**3 - 33*b**2 - 735*b + 33. Let a(t) = 33*c(t) + 2*z(t). Find the second derivative of a(n) wrt n.\nAnswer: 198*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 93, 88, 83, 78?\n\"Answer: -5*t + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2\/2 + 898593*r + 807469379649\/2 = 0 for r.\nAnswer: -898593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -393*x**2 - 382*x**2 + 81*x**2 + 691*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 12:35 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 189 divided by -701355\nAnswer: -63\/233785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.406 rounded to two decimal places?\nAnswer: 3.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 5:35 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.11 + 105.89. Let g = -115.1 + w. Round g to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8166792 is divided by 1186?\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1728 divided by -4.\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 46*u + 41*u - 234 - 88*u in the form a + y*u and give a.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -505*p**2 - 369*p**2 + 870*p**2. Let j(d) = -16*d - 1. Calculate u(j(a)).\nAnswer: -1024*a**2 - 128*a - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39252 - -39256. Let f(r) = -4*r**2 + 2*r + 24. Determine f(l).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**2 - 19*h + 13. What is x(5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -60601 smaller than -787804\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**4\/24 + 4*k**3\/3 + 2*k**2. Let r be g(5). Calculate the greatest common divisor of 1 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-56)\/(-26) - (-6)\/(-39). Let i(g) = 3 - 2*g + 7 + 5 + h. What is the units digit of i(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (95\/3230)\/(92\/391)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yboeytyyytybyyyypp. Give prob of picking 1 y and 1 e.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1050466533?\nAnswer: 3, 17, 20597383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 204, 215, 232, 255?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 44 = -5*l, -3*l + 28 = n - 0*n. Let s(q) = q - 4. What is the units digit of s(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -446*r - 298 - 49 = 99. Which is greater: r or -25\/519?\nAnswer: -25\/519","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/5)\/((i*i*i**(-3\/2)*i*i)\/i))**(-2\/7) assuming i is positive.\nAnswer: i**(11\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -53*b + 7*b - 13 - 14. List the prime factors of s(-4).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.6818649 - 0.1714?\nAnswer: 15.5104649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 33078 divided by -37\nAnswer: -894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -27\/29, -1.198 in ascending order.\nAnswer: -1.198, -27\/29, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0 + 0 - 4 + 3 + 3 + 0 - 5 + (0 - 4 + 3)*(-3 - 3 + 4))*(2*y**2 - 6*y**2 + 8*y**2).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 11*x**3 - 7*x**2 - 74*x - 7. Let w(u) = -5*u**3 + 3*u**2 + 37*u + 3. Give -3*k(v) - 7*w(v).\nAnswer: 2*v**3 - 37*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*h**2*x**3 + 13*h**2*x**2 - 6*h*x**2 + 160*x**3 - 24 wrt x.\nAnswer: -198*h**2 + 960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/15)\/(24\/(-60))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 12, 31, -5 in increasing order.\nAnswer: -5, 12, 24, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/(k\/(k*k**(-31)\/k)))*(k*k**(-36)*k)\/k*(k*k**(1\/5))\/(k\/(k\/(k\/(k**(-7\/3)\/k*k)))) assuming k is positive.\nAnswer: k**(-77\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + v + 12 = 0, -8 = -f + 5*v + 14. Suppose -f*j = -8 + 2. Suppose -2*y + 2 - 4 = 0, -j*y = c - 48. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.7 - 6.7. Let x = -666\/7 + 95. What is the nearest to 1\/4 in 0.5, x, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6398, -12790, -19182, -25574?\n\"Answer: -6392*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*q - 355 = 0, 3*q = -0*l + 3*l + 267. Let t be 98 - ((-3 - 1) + 6). Let x = l + t. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 5*c + 16. Let o be u(-7). Suppose -l + 0 = 4*b + o, 5*l + 10 = 3*b. Sort 2, -5, l in descending order.\nAnswer: 2, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.48628 rounded to two decimal places?\nAnswer: -4.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2769*r - 4827*r - 907*r + 764*r.\nAnswer: -7739*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 13*p - 45. Let l be z(15). Solve w**3 + 34*w**3 - l*w**2 + 16*w + 19*w + 5*w = 0 for w.\nAnswer: 0, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r**2 - 14*r - 9. Let l(n) = -8*n**2 + 26*n + 17. Give -11*k(g) - 6*l(g).\nAnswer: 4*g**2 - 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 11*c. Let o(m) = -m - 2. Let v = 10 - 17. Let x be ((-8)\/6)\/(v\/21). Let z(n) = 5*n + 11. Let s(d) = x*z(d) + 22*o(d). Give p(s(i)).\nAnswer: -22*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 55*d - 3. Let g be p(5). Let a = 385 - g. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 d when four letters picked without replacement from ddddvdddddddddvdddd?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 - (-11 - 4) - (2 + 1). Solve -d*f - 2 = -7*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 598712 to the nearest integer?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/3 - 171*s**2 + 4806*s - 29160.\nAnswer: -(s - 18)*(s - 9)*(s + 540)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 30 + 70346*q - 35163*q - 35186*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 10*g**2 - 95*g - 22. What is the units digit of v(30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26375 and 461668?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7.01, 1\/8, -3\/7, 6, 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/6*-2*(-15)\/(-5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(12\/(-48996)*(-6)\/(-10)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 5:27 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 84\/97 + 739\/2619. Calculate the common denominator of 73\/18 and n.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1.2, 0, -1\/3 in ascending order.\nAnswer: -1\/3, 0, 1.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -49. Let o = t + -48.9. Let l = o - -2. What is the nearest to -0.1 in l, 2\/3, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9c (base 16) to base 2\nAnswer: 10011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -32 - 12. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 - 2*o + 3. Let l be h(0). Let x be l - ((-68)\/(-20))\/1. What is the nearest to x in -0.4, 0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -467*v**3 + 465*v**3 + 41*v**2 - 19*v - 43*v**2 + 1 + (4 + 4*v - 4)*(-5*v**2 + 2*v**2 + 2*v**2) to the form i*v**3 + o*v**2 + j + t*v and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of -b**5\/60 + b**2. Let z(n) be the third derivative of 0 + 0*n + 1\/4*n**4 + 0*n**3 + 3*n**2. Calculate z(f(u)).\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3917417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202021220 (base 3) in base 13?\nAnswer: 12900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24600 by -6.\nAnswer: -4100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 21*o + 2. Give g(2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 + -107 + (-1155)\/(-40).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009464 rounded to 6 dps?\nAnswer: 0.000095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (1 - 10 - -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -229, -3, 1338 in descending order.\nAnswer: 1338, -3, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/145, -3\/8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**3 + 17*v**2 - 41*v + 255. Give q(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3857913.\nAnswer: 3, 428657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -29, -59, -89, -119, -149, -179?\n\"Answer: -30*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2320\/1305*27\/12 - 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7379873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129199354?\nAnswer: 2, 17, 19, 199999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x - h = -12 - 9, -4*x - 11 = 4*h - 15 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -0.3 (c) 3\/7 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4375 + 4408. Solve -23*g = -34*g + v for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-11 - -8 - -12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -73 * -0.18.\nAnswer: 13.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1111 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80.96 - -82. Let h = 74.04 - v. Let i = h + -73.0000024. Round i to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 20, -7*h - d + 351 = -3*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274090 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 4:08 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29795 or 29789?\nAnswer: 29795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 30. Suppose -3*s - s = -2*h - 10, 3*h - 2*s = k. What is the greatest common factor of 45 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365 a factor of 81384415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 50\/24) + 8281\/2028. Solve -r*f - 2*x + 1 = -3*f, 2*f + 5*x = 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 p when two letters picked without replacement from {n: 1, p: 3, s: 1, f: 1, l: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1769330.48 rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -34 times -0.2\nAnswer: 6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 - 57. Let d = -337 + 12471\/37. Is d at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s\/(s\/(s\/s**(2\/3)*s)))\/s*s)**(-1\/20))**(-1\/3)\/((s**(-2\/15)\/s)\/(s*s**7\/s*s)*s**(-6)*s**(2\/17)) assuming s is positive.\nAnswer: s**(46067\/3060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, o: 6}. What is prob of sequence op?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*a - 2*a**2 + 0*a**2 - 46*a.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d. Let u(r) = r + 1. Let x(l) = 2*l**3 - 2*l**2 + 2*l - 1. Let s be x(1). Let p(f) = f + 6. Let v(a) = s*p(a) - 6*u(a). Determine b(v(t)).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-56)\/(-3))\/(-1) - 1. Let x = 35 + -15. Let w = a + x. Is w greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -6. Suppose -k + 2*h = 4*h - 9, 2*k - 5*h = d. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41827683 - -2764.6\nAnswer: 41830447.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 521 + 79 = 0. Let g be -2 - 0 - (7 + -11). Suppose -g*k = -5*k + 39. What is the remainder when f is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22013745 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 + 28. Let j(v) = -v**3 - 11*v**2 - 9*v - 3. Let y be j(o). Suppose -3*u = -4*u + y. List the prime factors of u.\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d**(-20))\/d**21)\/(d*d*d**12*d)**(-44))**(-19) assuming d is positive.\nAnswer: d**(-11799)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 938842137?\nAnswer: 3, 34771931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(((o*o\/((o*o\/(o*(o*o**(15\/2)*o)\/o))\/o))\/o)\/o)*o*o**(-2\/13) assuming o is positive.\nAnswer: o**(-173\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 12 = 0, -7 = -b + z + 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 42\/(-15)*(-10)\/4. Find the second derivative of -2*u**2 - 5*u**2 - 2*u**2 - i*u - 7*u wrt u.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343 is divided by 87?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 - -20. Let d = 21 + -1. Let z be -3*(d\/30)\/((-2)\/3). Solve 4*u - z*u + 1 = m for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177712555.\nAnswer: 5, 107, 353, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -12506.299 to zero dps.\nAnswer: -12506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**2\/2 + 8*p + 2. Suppose 7*t + 3*v = 2*t + 14, -3*t - 9 = -4*v. Let x(g) = 6 - 1 - t - 2. Calculate 2*w(y) - 9*x(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 34739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-923676)\/48)\/(-13) + 2\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2)*16\/(-336)*336\/(-84)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6486935 a multiple of 689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 10:11 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 16*o**2 + 12*o - 20. Suppose 0 = 2*a + 2*l - 28, 40*l + 25 = 5*a + 36*l. Calculate the remainder when q(-14) is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-4)\/6)*5920\/(-60). Find the first derivative of 19*n - 12*n**2 + l - 6*n - 7*n + n wrt n.\nAnswer: -24*n + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55306972 to the nearest integer?\nAnswer: 7437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*i = -78*i + 116 - 2447 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 3:24 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3061.91 + -3076. Let m = y - -9.09. Sort 5, m, 2 in ascending order.\nAnswer: m, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ylyyyyylylyyyyyylyy. What is prob of picking 2 l and 2 y?\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -38607?\nAnswer: 38603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-4 + 0 - (-3 - (3 + -1)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1406079 and 2349?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**3*f**3 + 2*a**3*f + 1532*a**2*f + 1970*a*f**3 wrt a.\nAnswer: 6*a*f**3 + 12*a*f + 3064*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -690 - -2068\/3. Let o = 20 - 14. Let k = -9 - o. What is the biggest value in k, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -227*o**2 - 8*o - 19. Let m be b(-4). Let c = 6340 + m. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238980471 to the power of 1\/3, to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 8, -10*k = -3*c - 6*k + 28 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m - 153. Let a(k) = k - 1. Determine 4*a(n) - y(n).\nAnswer: 2*n + 149","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 19*v**5 + 4*v**3 - 4*v. Let y(q) = q**3. Let l(c) = b(c) - 4*y(c). What is the second derivative of l(u) wrt u?\nAnswer: 380*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005 times 1231663?\nAnswer: 6158.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*m + 96. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.9 - 2.9. Put j, 0, 0.5 in increasing order.\nAnswer: j, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(152)*2*1*-6)\/((sqrt(72)\/sqrt(3) + sqrt(24))\/sqrt(3) - sqrt(32)\/sqrt(16))*3)**2.\nAnswer: 393984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2990 - 4*n**3 - 2*n**2 - 2990 + 12*n wrt n?\nAnswer: -24*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/20)\/(-4 - 154\/(-40)). Let t(s) = s**3 - 5*s**2 - 2*s - 10. Give t(m).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence det when three letters picked without replacement from meydmtuu.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24131755 divided by 17.\nAnswer: -1419515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 495877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2)*-3*(-6)\/(-54). What is the third biggest value in 0, d, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h - 26. Let n be d(10). Is 31\/7 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -3*w + i + 4*i, -5*i = -5*w - 40. Is 4 a factor of w - (-4*(-66)\/(-3) - -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292 = -10*t + 14*t. Which is smaller: t or 361\/5?\nAnswer: 361\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u. Let x(p) = -17 - 3*p**2 + 36 - 19. Give l(x(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/2))**(-3\/4) assuming a is positive.\nAnswer: a**(-9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1657799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 0 - (8 + -9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**4 + 2605*d**3 - d**2 - 5143*d + 3 wrt d.\nAnswer: 48*d + 15630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 0 (c) -2\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -398401470 by 5.\nAnswer: -79680294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 + -85?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -7*s + 20. Let g be w(-4). Calculate the greatest common divisor of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -165 - k**3 + 183 - k**2 + 0*k + k. Let j be 4\/(-2) + 4 - 2. Determine h(j).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 117*p**2 + 15*p - 435. Let w(t) = -8*t**2 + 4*t - 1. Let b(u) = -f(u) - 15*w(u). Solve b(x) = 0.\nAnswer: 10, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 7) to base 3\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8311 - -22?\nAnswer: -829a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 16*i**2 - 47. Is p(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34*g - 199.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0686 at least as big as 2.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28\/(-21)*45\/(-10) and 402.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1981?\nAnswer: 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/823525 and -41\/329410.\nAnswer: 1647050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**4\/21 - 26*f**3\/3 - 1860*f**2\/7 - 19800*f\/7 - 18000\/7 = 0. What is f?\nAnswer: -30, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y. Let n be i(0). Suppose -32*u + u = -31. Suppose -l + 21 - u = n. Calculate the greatest common divisor of l and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*-1*(-20)\/8. Let t(z) = -27*z**3 - 15*z - 15. Let x(p) = -7*p**3 - 4*p - 4. Give g*x(v) - 4*t(v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 7 - 5*g**2 + (0*g + 0*g + g)*(3*g + 0*g - 4*g).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + s + 140971 = 0, -s - 234957 = 161*f - 166*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 63\/7 + (-4)\/2. Suppose 96 = 3*y + 2*a - h*a, -a - 34 = -y. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 - 70. Let j(w) = -w**3 + 2*w**2 + 3*w - 2. Let b be j(2). Suppose -6 + k = 2*y, -5*i + b*y = -12. Solve i = -3*q - 2*q + 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36.632239 * 4.\nAnswer: 146.528956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -1. Suppose -z*i = i. Suppose -92*p - 231 + 206 - 1263 = 0. Sort p, -4, i in descending order.\nAnswer: i, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25852645 divided by -3185?\nAnswer: -8117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**3 + q**2*y**3 + q**2*y + q*y**3 + 2*q*y**2 - 17*y**3 wrt q.\nAnswer: -12*q + 2*y**3 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 5053809 = q - 5053756, 3*s - 12 = 0 for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 90*k + 21. Let j(i) = -9*i - 2. Let a = -82 - -61. Determine a*j(h) - 2*f(h).\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, i: 1, g: 1, z: 1, p: 1, o: 1}. What is prob of sequence ip?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**2 + 8*y + 7. Let c be g(-5). Calculate the greatest common divisor of 187 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54375638333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1397 and 25654?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 6) to base 13.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 2*g**2 + 2*g - 1. Let l be s(-3). Suppose -34 = -2*c - 28. What is the first derivative of l*z**3 + 0*z**3 + z**4 - 2*z**c + 3 wrt z?\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**3*r**2 - 10*j**3*r - 158860*j**2*r + 17*j*r**2 - j*r - 35*j - 326*r**2 - r wrt j?\nAnswer: 6*j*r**2 - 60*j*r - 317720*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.1 (b) 5 (c) -0.283 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4739 divided by -4?\nAnswer: -4739\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-5)*(38\/(-133))\/(1\/5).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-9)*b)\/b*b**(-2\/31) assuming b is positive.\nAnswer: b**(-281\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*v + 30 = 0, g - 14*v = -19*v + 54. What is the remainder when 411 is divided by g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39.7 + -3.3. Let k = y - -43.0042. Round k to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or 5\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 36. Suppose 419*u = 422*u. What is d(u)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12475323 to the power of 1\/2, to the nearest integer?\nAnswer: 3532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 15 - 1. Suppose 0 = -125*r + 129*r - 44. Let x = h - r. Is -1\/7 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 970813 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8 - 1. Suppose -992 = -350*k + 408. Which is the smallest value? (a) h (b) -2\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-348)\/(-928))\/(7\/6)*(-3)\/(-90)*5?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 858118.\nAnswer: 2, 503, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - (sqrt(35) + (-1*sqrt(350))\/sqrt(10) + sqrt(35)))\/sqrt(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3 + -1 + -1 + 60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/b**(8\/7)))\/(b*b*(b\/b**(-2\/9))\/b))\/(b**(-4))**(2\/63))**(-2) assuming b is positive.\nAnswer: b**(40\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + 2*q - 4, k + 3 - 2 = 2*q. Suppose 4*x - 3 = k. Let n = -5 + 9. Solve x = -n*z - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ossssssoosssssssss. Give prob of picking 2 s and 2 o.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * -165249.\nAnswer: 1652490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -110011010110011?\nAnswer: 110011010110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*a = -25*a - 89232. List the prime factors of a.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 4*u - 35, 2*c = -14*u + 16*u + 14. Calculate the smallest common multiple of c and 155.\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2827 + 2850.22. Round s to the nearest integer.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -dfae5 (base 16) in base 6?\nAnswer: -31345353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10937 is divided by 156.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -119*(870\/105)\/29\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*r + 2 = 39*r. Suppose -r*g = 3*g - 72715. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15155 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9165193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 55, -3, 105 in increasing order.\nAnswer: -3, 55, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1178 - 2373 - 27*p + 1058 to k*p + g and give g.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22406.06 - 22215. What is y rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/50 and -81\/2.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q. Let z(o) = -25*o + 3*o + 11*o + 1 + 10*o + 10*o. Calculate 6*y(j) + z(j).\nAnswer: 15*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19)*-4 - sqrt(19)) + -1 + sqrt(76) + 2)**2.\nAnswer: -6*sqrt(19) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 92612 and 156.\nAnswer: 277836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = -19*j + 57833006. Let x = 3444546 - j. Round x to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25566559?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -14*t**3 - t**2 - 37*t + 51. Differentiate w(b) with respect to b.\nAnswer: -84*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 7*s**2. Let j(c) = 9445*c**2. Give u(j(k)).\nAnswer: 624456175*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 6. Suppose 28*z + 46 = -10. Calculate a(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 1, g: 14}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a week in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 81*v**2 + 13 + 3*v**4 - 35 - 4*v**4 + 4*v**3 - 30*v + 31*v + 20 as d*v + q*v**2 + r*v**3 + c*v**4 + s and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1332 + -1332.2. What is the closest to -1 in -16, a, -0.07?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2659, -10629, -23913, -42511?\n\"Answer: -2657*g**2 + g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rgrkrrkrrkrrrrrrr. What is prob of sequence krrr?\nAnswer: 429\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*((-3)\/(-6))\/(6\/9). Let z(b) be the first derivative of -1\/3*b**m + 2*b - 6 - b**2. What is z(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppbpvbppbxvpbpk. Give prob of picking 1 v, 1 k, and 2 b.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*t + 4094 + 2356 = 0 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hp when two letters picked without replacement from pphvpvhhhpgshhgvkh.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*a + 4 = 0, 5*f - a = 2*a + 14. Does 3 divide (-1)\/((f\/(-30))\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.53913ml in litres?\nAnswer: 0.01453913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1641477*t**5 + 2*t**4 - 2396*t**2 - 14300.\nAnswer: -98488620*t**2 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 3*f - 2. Let m be d(-2). Let p(j) = -j - 2. Let z be p(m). Solve -2*q + q = w - 2, w - 3*q - z = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3564996 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59749 and 86867.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 8*x**2 + 6*x + 9. Calculate i(7).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11, 12, 5, -10?\n\"Answer: -4*b**2 + 13*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 <= -400?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 0 + 0)*(-30*d + 2 + 30*d + 3*d**3).\nAnswer: -3*d**4 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 46, 101, 186, 307?\nAnswer: 470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kx when two letters picked without replacement from {v: 5, b: 7, x: 3, k: 1}.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -0.5, -4, -2\/69, 5?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(2)*1 - (sqrt(18) + sqrt(2))*2)**2.\nAnswer: 42*sqrt(2) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -16*o**3 - 27*o**2 - 5*o - 226. Let c(v) = -7*v**3 - 12*v**2 - 2*v - 113. Let b(s) = 9*c(s) - 4*r(s). Calculate b(0).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 9 = -5*r, -2*r = -2*g + 7 - 1. What is the greatest common divisor of g and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 12*b**5 - 5*b**3 + 41*b + 5. Let d(l) = l**5 - l**3 + l + 1. Let w(r) = -5*d(r) + o(r). Find the second derivative of w(c) wrt c.\nAnswer: 140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + -5*(0 + sqrt(539) - sqrt(539)) + (2 + sqrt(352)\/sqrt(8)*2)**2).\nAnswer: -180 - 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 220.8 + -17.8. Let t = h - 202.999838. What is t rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257924.\nAnswer: 2, 17, 3793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 5*s. Let g(r) = r**2. Let z(x) = 2*g(x) - j(x). Let t = -177 - -181. Determine z(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*3 - (-1 + 1). Let z(p) = -3 + 0*p**2 + 6*p**2 - p - 6*p**2 - 5*p - p**2. Give z(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 518763505?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a**2. Let l(x) = -5*x + 4. Let m(v) = -4*v + 3. Let u = -5 + 2. Let n(r) = u*l(r) + 4*m(r). What is n(c(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-69)\/(3\/16*4). Let b = x + 132. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 10840*y + 442764. Give c(-41).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4484 + 0.1353.\nAnswer: 4484.1353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002827013 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 238 = -128*z. Let v be 1*(4 - 1*-1). Let g = z - v. Is -15\/2 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 454175 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j**5\/13 - 1166*j**4 + 1591316*j**3\/13 - 18677392*j**2\/13 + 21859008*j\/13 - 4757760\/13 = 0. What is j?\nAnswer: -1180, 2\/7, 1, 12, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 14 = -2*p, -2*p - 2*b + 8 = -0*p. Sort -2, 0, -1, p in ascending order.\nAnswer: -2, -1, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572491431.\nAnswer: 3, 4289, 14831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 12213 = -a, 3 = -24*a + 21*a. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + l - 10. Let h = l + -5. Is (8 - (-1 + h)) + -1 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 133 = -245. What is the highest common divisor of 18 and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-368)\/(-230) - -1*2\/5. Solve -4*i - n + 3 - 6 = 0, k*n + 6 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4989*l**2 + 4*l + 8. Let b(s) = -10167585*s**2 + 8154*s + 16308. Let i(x) = 2*b(x) - 4077*w(x). Let c(u) = 2*u**2. Calculate c(i(t)).\nAnswer: 49660578*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*v + 4 = 2, 0 = -v - 5. Suppose u - z = -5*s + 29, -2*u + 21 = -s. Calculate the greatest common divisor of u and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + 13. Let i be q(8). Suppose -5*o - 2825 = -3*s, 2825 = i*s - 5*o - 1880. Round s to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 3)\/(9\/(-63)). Let j be ((-16)\/(-2))\/((-4)\/(-22)). Let h = f + j. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x\/(x*((x**1*x)\/x)\/x*x)))**(-27)*(x\/x**(1\/4))**(1\/11))\/((x**(2\/5)\/x)**(-3)\/(x\/(x*x**(-1\/4)\/x*x))**(-2\/85)) assuming x is positive.\nAnswer: x**(-309439\/3740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.7 - 0.3. Suppose -2*y + 3*y - 5 = 0. Suppose 2*u - 11 = 5*i, 5*i + 0*u = 5*u - y. Which is the nearest to i? (a) -2 (b) -1\/3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*g - w, -29*g = -30*g - 3*w - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - (-35)\/(-28)) + (-98)\/(-8). Calculate the highest common divisor of 117 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lg when two letters picked without replacement from llg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-3\/5)*x)\/x)\/x*x*x\/(x*x*x**(-1\/3)*x))\/((x**(-3\/8)\/x)\/x**(2\/5)) assuming x is positive.\nAnswer: x**(-59\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 141*m**4 - 313*m**4 - 2*m**4 + (2 - m - 2)*(-2*m + 2*m + 2*m**3) in the form h*m + v*m**3 + y*m**4 + t*m**2 + p and give y.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 5674ab19?\nAnswer: 5674ab16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of 0 + 1\/3*k**4 + 1\/10*k**5 - 1\/3*k**3 - 2*k**2 + 9*k. Let w(d) = 0. What is d?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 464159.\nAnswer: 173, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 2. Let i be k(2). Let b be (-20)\/i*(-1)\/(-2). Let m(s) = 7*s. What is the units digit of m(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5*y**3 + 269*y**2 - 165*y - 2515. Give v(53).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 12*o**2 + 10*o + 5. What is h(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -485*v + 505*v + 160 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 47196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k + 5*k + 2*k - 4*k + 14.\nAnswer: -k + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 668 - 448. What is the least common multiple of (2\/5)\/(4\/m) and (-3)\/((-6)\/32 - 0)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61.6 - -77. Let x = 269 + -284. Let t = x + k. Sort t, -3, 2\/39 in decreasing order.\nAnswer: t, 2\/39, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2000121021200 - 101212?\nAnswer: 2000120212211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1185*g**2*t**2 - 89311*g**2*t - 10*g*t**2 - 12*g*t + 55*t**2 + 2*t + 2 wrt t.\nAnswer: 2370*g**2 - 20*g + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 3408219 divided by 9.\nAnswer: 378691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110450 and 846.\nAnswer: 994050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeeebee. What is prob of picking 4 e?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -72*f**6 + 837*f**4 + 3*f**3 + 2*f**2 - 2*f - 214105 wrt f.\nAnswer: -8640*f**3 + 20088*f + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 33255 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/2691232 and -139\/109104?\nAnswer: 8073696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -2. Suppose n = -p*n. Suppose 4*s - 3*a + 8 = -12, 0 = -5*s + a - 14. Which is greater: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11 - -4)\/(0 + -1). Let h be 0 - 9\/((-27)\/6). Suppose h*i + 200 = w*i. What is the greatest common divisor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 3)*(-3*d**3 + 3*d**3 - 3*d**4) + 2*d**4 - 3*d**4 - d**4 + 2*d**4 + 2*d**4 - 3*d**4 to w*d + i*d**2 + x*d**4 + n*d**3 + q and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1637*w + 703*w + 2873*w - 12408*w - 10811*w to the form h + v*w and give v.\nAnswer: -21280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 6*v + 7. Let m be h(-5). Suppose k - 14 = -m*c - k, -3*c + 1 = -2*k. Let i be (-989)\/(-3) + 1\/c. What is i rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 5*q + 5 - 47, 0 = -3*q - 6. Is 3 a factor of 84\/(-21) + -2*w*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 189 - 185. Let c = 1 + 2. Suppose c*d + d = -20. Sort k, 1, 6, d in descending order.\nAnswer: 6, k, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244*h + 355612 = 248*h - d, -2*d = 5*h - 444515. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -20*w + 1. Let q(c) = 2*c + 11. Let x be q(-6). List the prime factors of b(x).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 93433215?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/((-280 + 10)\/10) and -53\/162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*g + g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1194466 and 11.\nAnswer: -13139126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - n + 0*n)*(5 - 5 + 2) + (3 + 1 - 3)*(2*n - 5*n + 0*n).\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 938 is divided by 216.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1375188502 to the power of 1\/2, to the nearest integer?\nAnswer: 37084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 374 + -381. Let t be -3 + 2 + 7 - (v + 3). Solve -5*j = -t*j + 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -478201480, -478201483, -478201486, -478201489, -478201492, -478201495?\n\"Answer: -3*w - 478201477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b**2 + 7*b - 7*b - 1)*(-b + 2*b + 3*b - 1) + (5 - 3*b - 5)*(-8*b**2 + 0*b + 0*b) in the form h*b + y + x*b**2 + d*b**3 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*(-3 + -1*sqrt(300))*-1.\nAnswer: 23 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/3))**35)**(-13)\/(q**0*q*q*q\/(q\/q**7*q))**(-3) assuming q is positive.\nAnswer: q**(-383\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 626 + 9. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -12*t - 83. Let r(v) = 24*v + 165. Let u(y) = -9*j(y) - 5*r(y). Let f be u(-10). Calculate the greatest common divisor of f and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -400 + 449. Solve -z*l + 4 = -50*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - l + 11 = 0, -2*l + 16 = 4*t - 3*l. Let w(d) = d + 2. Let r(s) = 1. Let u(v) = -5*r(v) + 3*w(v). What are the prime factors of u(t)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.62464 to 1 decimal place.\nAnswer: -14.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*p = 9117 - 9412 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-40)\/(-18))*6\/(-9).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1855, 3666, 5477, 7288, 9099, 10910?\n\"Answer: 1811*k + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.578065 days to seconds.\nAnswer: 395544.816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 8*i + 285. Let k(z) = -15*z - 568. Calculate -6*k(a) - 11*t(a).\nAnswer: 2*a + 273","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 7*m - 11. Let j = 16 - 22. Let p be d(j). Let z = p + -32. What is the remainder when z is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00210315272 rounded to 6 dps?\nAnswer: 0.002103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 5*p**2 - p. Let b = 2 - 13. Let q = b - -8. List the prime factors of a(q).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 11*p**2 - 4*p - 4. Calculate x(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/24 and (-1)\/(-72)*25146\/462.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 9. Calculate the smallest common multiple of 30 and -7*v*9\/(378\/(-60)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 + 1992*k - 1077*k - 1011*k to the form u*k + v and give u.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -12*k - 216. Let d be p(-18). Which is the third biggest value? (a) 5 (b) d (c) 70\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/3))**(-6\/7)*g**6\/g*g*g*g**14*g*g assuming g is positive.\nAnswer: g**(157\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 1 + (-2 + 0 + 0)*(-4 + 0 + 5))*(-42*v + 12*v + 21*v - 2).\nAnswer: -18*v - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 + (-7 - -5) + 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76 + 80. Calculate the greatest common divisor of 16 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000015699 to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.04, -0.3, -9, -35?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*z - 74*z - 38*z)*(3*z**2 - 1 + 1).\nAnswer: -279*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 6:57 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 605201 is divided by 8075?\nAnswer: 7651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/19 in -4, -12, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 26. What is the second biggest value in -1\/7, -4, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {g: 1, d: 1, v: 2, n: 2, k: 1, j: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72076 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -22*z - 3. Let m(r) = 3*r**2 + 1786*r. Calculate y(m(f)).\nAnswer: -66*f**2 - 39292*f - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -7*c - c**2 + 1\/2*c**5 + 0 - 2*c**3 + 3\/10*c**6 + 0*c**4. Find the second derivative of m(a) wrt a.\nAnswer: 108*a**2 + 60*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 - 3)*(-3*t**2 + 4 - 4)*(-3*t + 13*t + 3*t).\nAnswer: 312*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + 0.1. Let h(f) = -f**3 + 6*f**2 + f - 7. Let n be h(6). Sort 1, n, x in descending order.\nAnswer: 1, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, w: 4, j: 1}. Give prob of picking 2 t and 1 j.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44 - 6*z**3 + 2*z**3 + 20 + 24.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 351, 706, 989, 1122, 1027, 626, -159, -1406?\nAnswer: -3193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.6767 - 48.0943. Let t = s - 0.229. Which is greater: -0.2 or t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 481*u - 483*u - 10, 5*y - u - 15 = 0. Let k(m) = 19*m + 1. Let q(f) = -76*f - 4. Give y*q(n) + 9*k(n).\nAnswer: 19*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 116*p + 61*p + (-2 + 2 + 2)*(3*p - 2*p - 2*p))*(737*p - 1 - 319*p + 249*p).\nAnswer: -38019*p**2 + 724*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*((-2)\/(-4) - 0). Let p(o) = -88000*o**3 - o**2 - 2*o - 1. Let b be p(z). What is b rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*p**3 - 4*p**3 - 13*p**3 + 3*p**3.\nAnswer: -46*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 3:31 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 12) to base 7.\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 4*k + w = -14, -2*k = 4*w - 16. Solve 0 = -x - 1 - k for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (45\/(-4) - (-13 - -4)) + (-2)\/(-8). What is the closest to x in -0.5, -1\/14, 3, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 840 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.17 - -0.3. Let x = b - -2.87. Sort -1, -0.5, x in decreasing order.\nAnswer: x, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-7)*u)**(-3\/41))**(-8) assuming u is positive.\nAnswer: u**(-144\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 4*z**2 - 7*z + 4. Let f be u(5). Let w be (-21)\/f + (-3)\/(-6). Solve g - w = -3*h, 0*g = -4*g - h + 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95977 - -0.00876?\nAnswer: 95977.00876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -37*r**3 - 3*r**2 - 3*r - 1. Suppose -q + 6*q + 30 = 0. Let f = q - -5. What is the units digit of w(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + -19 + 9 - (-3 + 1). Let o be -2 + 1*-2 + 1. Which is the closest to u? (a) 0.2 (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from giiememfeieffiee. Give prob of sequence igmi.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (4*(sqrt(405) - 3*(-2 + sqrt(405))) + 3 + sqrt(125) + 0 + sqrt(25)\/(sqrt(5) - -2*sqrt(5)) + -3)**2.\nAnswer: -3200*sqrt(5) + 205175\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1155\/(-44))\/21*7\/((-35)\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2581 and 522?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 40\/(-12)*6\/(-4). Let t(s) be the first derivative of 29*s**2 + s - 89. Is t(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23264 (base 7) in base 14?\nAnswer: -226b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 1497*v + 48295. Give k(-31).\nAnswer: 1888","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -11, 3, 0 in descending order.\nAnswer: 3, 2, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41931542.138 - -8.\nAnswer: -41931534.138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1096 - 1569. Let a = -213 - m. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 202 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7184?\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26508407?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.02 (b) 2 (c) -38414\/7 (d) 5 (e) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12438606?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 46610496 a multiple of 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g - 2. Let d be u(2). Suppose 2*v + 0*v - 10 = d. Suppose 0 = -5*i - 3*n + 40 + 8, 4*i - 31 = v*n. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26167 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51280 - 18*o + 51280.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 2. Let t be (-4 + 31\/i)*7. Put -1, t, -2 in decreasing order.\nAnswer: t, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/530512 and -51\/10079728?\nAnswer: 10079728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(756) - (sqrt(756) + sqrt(756)*1 + sqrt(756)))\/sqrt(12) - -2*sqrt(63)*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 19, 48, 105, 202, 351, 564?\nAnswer: 853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) 2 (c) -1\/2 (d) -5137 (e) 11\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -172720.728 to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 6:43 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/1430 and 123\/40?\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4 = -y. Suppose 0 = 2*n + 3*n + 65. Let q = -9 - n. Calculate the highest common divisor of q and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -2. Let o(f) = -f. Let u be o(h). Suppose 0 = -i - 4, u*t + 0*i = 3*i + 1239. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -10*x**3 - 15\/4*x**4 + 0*x**5 + 1\/4*x**6 - 52 - 6*x - 45\/4*x**2. Factor f(j).\nAnswer: 3*(j - 4)*(j + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*d**4 + 39*d**4 - 69*d**4 - 56*d**4 + (-d**3 - d + d)*(4*d - 3*d - 3*d) to t*d**3 + z*d + l*d**2 + v*d**4 + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5871011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2430, 9803, 22120, 39393, 61634, 88855, 121068?\nAnswer: 158285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n - 4. Let s be i(11). Let r = s - -29. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(425) + 0 + -3*sqrt(425) + 4)**2.\nAnswer: -80*sqrt(17) + 1716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + 0 + 0 + sqrt(19))*1 - (sqrt(3648)*1)\/(sqrt(33)\/(sqrt(11) - (sqrt(22)\/sqrt(2) - sqrt(11))))) + 2)**2.\nAnswer: -42*sqrt(19) + 940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -6279.4 to the nearest ten.\nAnswer: -6280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 12:02 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 21617 = -21817 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1235934 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3395473*o**4 + 6104785 with respect to o.\nAnswer: -13581892*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/56 - 24\/(-42)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/293? (a) 2\/7 (b) 0 (c) -0.06 (d) -3 (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 26 = -30. Solve 2*r = -l - g, -5*r + 5*l - 4 - 1 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkjjjjhlbju. Give prob of sequence hj.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-21) - (-8)\/70. Let y = 0.6 + -1.8. Let o = 0.2 + y. What is the nearest to x in -0.1, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 11 = -23. Suppose 0 = -4*h - 4*c + y, 2*h + 0*h + c - 5 = 0. Solve 0 = 3*w + h*b - 22, -9 = 4*w + 4*b - 45 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17980?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 15*m**2 + 15*m + 18. Let o be t(-14). Suppose -j + p = -o, j - 5*p = 4*j - 4. Solve 5*d + 3*u + 2*u - 25 = 0, j*u - 9 = 3*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**3 - 5*r**2 - r - 7. List the prime factors of i(4).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*c + 154, -3*k + 39 = c - 4*k. Suppose -q - q + c = -3*n, -2*q - 4*n + 52 = 0. Is 15 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 149 = -5*v. Let f = v + -22. Suppose -f = -4*s - 2*t + 3*t, 0 = 4*t + 16. Solve 5*d + j = -s - 7, -3*j - 10 = 5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 151*y**2 - 1158*y - 2. Let x(o) = 754*o**2 - 5792*o - 11. Let l(k) = 11*u(k) - 2*x(k). What is the second derivative of l(t) wrt t?\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -15. Let d be (o\/(-8))\/((-2)\/3). Suppose 33 = d*i - 12. Solve 3*x + 0*x = i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 769.477 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 4.7 times 245\nAnswer: 1151.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1332 is divided by 84?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*b**2 - 6*b**2 - 6*b**6 - 5*b**2 wrt b.\nAnswer: -720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 231 + -117. List the prime factors of (q\/12 - 8)\/((-1)\/(-10)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60.7 + 68. Let q = s + -7. Let l = 117 - 125. What is the biggest value in q, l, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -30324210 (base 5) in base 15?\nAnswer: -4cb55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5\/169 - -2422\/7605. Let p = 1\/15 - l. Let v be -1*(-2 + 4 - 1). Is v at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-18)\/171 - 7376\/(-38)) + 6 is divided by 30.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 - -51. Let p = 24 - 166\/7. Which is the closest to 2\/3? (a) p (b) 3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15151.84 and 1.32?\nAnswer: -20000.4288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 0 + -3 - ((-28)\/12)\/((-46)\/(-82386))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -0.2, 6\/23, -128, -1\/96, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8367835 rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27020)\/(-47285))\/(160\/(-42))?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1772 (base 8) in base 7?\nAnswer: -2653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/30 and 57\/184960?\nAnswer: 554880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 7:11 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*j**2 + j**2 - 17*j**2 - j**2 + 3*j**2.\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 2*u + 2*n + 6, -5*u - 10 = -4*n for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 945394 is divided by 6167.\nAnswer: 1843","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3371\/57 + 118715\/2052. Calculate the common denominator of w and (-33)\/4 + (-2)\/4.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 4*b + 5 = -o, 2*o + 3 = 5*b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v + 2*v + 0*v)*(6*v - 11*v - 7*v) + v**2 + v**2 + 0*v**2 - 4*v**2 - 4*v**2 + 6*v**2.\nAnswer: -72*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 3*i**2 - 2*i - 3. Let b be a(-3). Is (2 - 1)\/(b\/951) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -108 - -8c42c4?\nAnswer: 8c41b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.85775ml in litres?\nAnswer: 0.07185775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikppapppppppkazppap. What is prob of sequence zp?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 8*s. Let i(h) be the second derivative of -h**4\/3 + h**3\/6 + 399*h. Give g(i(y)).\nAnswer: -32*y**2 + 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 821264 is divided by 35?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -348 + 28. Let z = k - -476. Differentiate -z*c**4 + 70*c**4 + 22 + 68*c**4 with respect to c.\nAnswer: -72*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54 - 28. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-106)\/(20\/(-4) + 7). Let f be (-2)\/(-2) - 610\/2. Let y = t - f. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 32. Let g be 22\/(-77) + (-256)\/i. Suppose 5*l - 39 = -9. What is the greatest common factor of l and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -13 + 7 - 7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 + 114. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4232 and -7.\nAnswer: -2.9624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*o - 3*v + 5*v, -4*o + 30 = -2*v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -241083, -482108, -723075, -963984, -1204835, -1445628?\nAnswer: -1686363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 706*a. Let r(l) = 4247*l. What is 2*r(m) - 13*w(m)?\nAnswer: -684*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -17*b**2. Let s(y) = -2401*y - 2402*y + 7196*y - 2404*y. Calculate s(v(m)).\nAnswer: 187*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2464 and 13653376?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*f = 2*f + 24, -5*j - 30 = 5*f. What are the prime factors of 1796\/8*(8 + j)?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 14 - 40 = -3*h, 0 = 5*h + 3*g - 56. Suppose -20 = -4*o, 2*a = 3*a + 2*o - h. Find the first derivative of 6 + 38*x**3 - 54*x**3 + 25*x**a wrt x.\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35? (a) 16 (b) 1 (c) 879\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52 - 4847)\/(-71) - 95?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + q - 2*q - 17 = -0*p - 3*q, -2*p - 4*q = -30 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 43*o**3 - 5*o**2 + 7*o - 2. Let b be (69\/8)\/3 - (-14)\/112. What is the hundreds digit of t(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33475?\nAnswer: 5, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0, -11 in decreasing order.\nAnswer: 0, -0.1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9)\/3 + 0 + 55?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iasazhiazzszzzhaz. Give prob of sequence hi.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide ((-42)\/(-4) - 3)*(-8)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1304404 - -4?\nAnswer: 1304413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 991 a factor of 3374793160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000385 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/13416*-43*-12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t**2 + t**2 - 3*t**2)*(4 - 6 - 3 + (-2 - 1 + 1)*(-1 - 4 + 4) + 1 + 1 - 3) + 3 + t**2 - 3 to the form j + m*t + a*t**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-1)*9\/(-4). Let q = z + 14. Do 5 and q have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3))**42*(l*l\/(l**(2\/9)*l))**49 assuming l is positive.\nAnswer: l**(-791\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-64)*4*(-20)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76298?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06489 rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 + 3\/(18\/312). Calculate the greatest common factor of j and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*k - 137*k - 45*k - 105*k - 4*k + 2 as j*k + y and give j.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*h = -5*g + 23*h + 5, -h - 1 = 0. Let p(c) be the second derivative of 1\/3*c**4 + 14*c - g*c**2 + 0*c**3 + 0. Let p(r) = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*16)\/(-1 + 1 + 2). Suppose -d*q = -4*q - 68. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -41*w**3 - 67*w - 13. Let u(a) = 21*a**3 + 33*a + 6. Let b(c) = -6*r(c) - 13*u(c). What is the second derivative of b(j) wrt j?\nAnswer: -162*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*f - 19. Let r = 4 + -1. Suppose -r*t = y - 3*y - 6, -2*t + 2 = -2*y. Solve 0 = -5*l - z + f, 0 = z - t*z - 12 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 9 = 4*q - 34, -23 = -5*s - 2*q for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5607683 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 103210003120 (base 4) in base 3?\nAnswer: 100122112212001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5 + 5*x**4 + 32*x**3 + 36*x**2.\nAnswer: -x**2*(x - 9)*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2896\/(-4706) - 12\/(-26).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -229.3+-511004\nAnswer: -511233.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*((q\/(q**7*q))\/q)\/q*q*q**(-1\/13)*q)**38 assuming q is positive.\nAnswer: q**(-3002\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 2*r**2 - 4*r + 5. Let j(h) = h. Determine -a(k) - 4*j(k).\nAnswer: -k**3 + 2*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -3. Let o(y) = -y**3 - 7*y**2 - 7*y - 1. Let n be o(r). Let d(u) = 5*u + 5*u - 3*u - 4 - u**2. Determine d(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, d: 2, g: 2, u: 1}. What is prob of picking 1 g and 2 d?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9796248 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -13*i**3 + 627*i**2 + 505*i - 693. Give d(49).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -1297*c + 3758. Calculate o(3).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/137? (a) 41 (b) 0.0728 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1*286\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 246 + -47. Suppose 0 = 3*c - 581 - h. Let p = c - 182. Does 26 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - 307\/2) + 3\/(-2). Suppose 2*w - 312 - 226 = 0. Let m = k + w. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15516 is divided by 2582.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 1. Let y(x) = x**2. Let d be 1 - ((-176)\/132)\/((-2)\/(-3)). Suppose 0 = -5*m + 4 - 14. What is d*y(q) + m*g(q)?\nAnswer: 3*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -23*k + 1938. Let g be p(-12). Calculate the highest common factor of 162 and g.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -135.55 - -137.55. Which is the nearest to i? (a) -33 (b) -3 (c) 3 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6181 divided by 113\nAnswer: 6181\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 391\/532 - -2\/133. Let y = -0.7 + 2.3. Let z = y - 1.3. Which is the nearest to 0.1? (a) z (b) r (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46242 (base 9) to base 13.\nAnswer: -11048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.12 - -4.88. Let q = j - 5.5. Let w = 0.5 + q. Which is smaller: 1\/4 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126779, 253719, 380657, 507593?\nAnswer: 634527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/18)\/((-40)\/72)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -25511045 (base 6) to base 5\nAnswer: -203133243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 28. Calculate the lowest common multiple of m and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 24 = -5*y - 0*y, 4*a - 20 = y for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 130979352?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 2010033.\nAnswer: -2\/670011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8669, 8645, 8611, 8567, 8513?\n\"Answer: -5*j**2 - 9*j + 8683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 11:21 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1631 + 919. Calculate the remainder when t is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128660920?\nAnswer: 2, 5, 3216523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -1167.6 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 2, c: 3, x: 1, z: 1, o: 5}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 13 - 3 = 0. Suppose 4*h - 12 = -n*r, r - 4*h = -6*h + 4. Solve 0 = -s - 3*w + 9, -r*w = 4*s - 4*w - 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.222 - -0.278. What is the closest to -10 in s, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -3\/2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/14 and 95\/112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006793 rounded to 6 decimal places?\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 6*f**3 - 421. Let a(y) = -5*y. Determine a(c(n)).\nAnswer: -90*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**7\/490 - w**6\/140 + 3*w**5\/140 + 8*w**2 - 3. Determine c so that q(c) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 42 + 29930*i**2 - 9976*i**2 - 4*i - 9976*i**2 - 9972*i**2 in the form y*i + b*i**2 + a and give a.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -551269?\nAnswer: -551269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -119, -156, -193?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 149*q + 17577. Give r(-118).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/8)\/(-1)*72\/36.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -4*m - p, 2*m + 871 - 869 = -3*p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 8*p**2 + p + 4. Let d be z(8). Suppose -d - 4 = -2*g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) 5 (c) -0.06 (d) -3 (e) 1234\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -5*h + 90. Calculate the remainder when 30 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1163 is divided by 184.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i*i**(-1\/6)\/i)\/i*i*i**(1\/9))\/((((i\/(i*i**(-1\/2)))\/i)\/i*i)\/i)**(-2) assuming i is positive.\nAnswer: i**(-19\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w**2 - 2*w - 1. Let o be k(-1). Suppose 5*p - 12 - 43 = 0. Let s = o + p. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + -20)\/(-5) + -18. Let n = x - -14. Let y be -4 + (-8)\/(-4) + 6. Sort 3, n, -5, y.\nAnswer: -5, n, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 91 + -81. What is the smallest common multiple of b and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -111973, -221879, -331795, -441727, -551681?\n\"Answer: -h**3 + h**2 - 109902*h - 2071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (24\/18)\/((-8)\/(-36)). Determine x so that 8*x**4 + 3*x**3 - 33*x**5 - g*x**2 - 2*x**4 + 30*x**5 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/2)\/m*m*m)**(-1\/4)*m\/(m*m**(-1\/7)*m)*(m**(-5)*m)\/m assuming m is positive.\nAnswer: m**(-349\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*w = 3*w + 17, 0 = i + 3*w + 17. Let q be (9\/12)\/((-3)\/i). Let r = -227.7 + 228. Which is the closest to r? (a) -4 (b) q (c) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 10.56 (c) 0 (d) 0.33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 113124 and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 552332987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 3 + 9. Let w be 2*3\/k - -7. Suppose 2*o = -2*y + w, 0 = 5*y + 2*o - 4*o - 29. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (0 + -5 + -3 + (21 - (13 + -40)))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 9, 0, 3, -3 in ascending order.\nAnswer: -3, 0, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -c**6\/2 - 36*c**5\/5 - 42*c**4 - 128*c**3 - 216*c**2 - 192*c - 12. Determine o, given that z(o) = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -5*n**3\/3 + 5*n + 2. Differentiate r(z) wrt z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**2 + 383950*j - 1535720 = 0. Calculate j.\nAnswer: 4, 76786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**2\/8 + 919047*t\/2 - 844647388209\/2 = 0.\nAnswer: 1838094","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 11 + 2)*(1 - 1 - q + 0*q + 0*q - q + (1 - 4 + 5)*(-4 - 2*q + 4)) as r*q + k and give r.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/124 in -2, -1\/67, 1\/4, 5, 0.4?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -22 + -2031540?\nAnswer: -2031562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1890 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/3 (b) -1 (c) 1 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*b = -2*b + 15, 0 = 4*t + 5*b - 65. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/3 + 13*b + 40\/3.\nAnswer: -(b - 40)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71.8 + -62. Let l = -10 + z. What is the third biggest value in -5, l, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of u**7\/315 - u**6\/90 - u**5\/90 + u**4\/18 - 5*u**2\/2 + 3. Let n(x) be the second derivative of v(x). Solve n(y) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 527*d**2 + 180*d**2 + 2 - 2.\nAnswer: 707*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**5\/3 - 25*w**4\/3 + 203*w**3\/3 - 539*w**2\/3 = 0.\nAnswer: 0, 7, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*k + 269*k**3 + 165*k.\nAnswer: 269*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15087404?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1107, 1185, 1263, 1341?\n\"Answer: 78*z + 1029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5309476*p**4 + 46*p - 37729?\nAnswer: 63713712*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*y + 331 = -5*h, 5*y = -5*h - 545. Let w = 208 + y. Let o be -2 - (1 + w + -2). Round o to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oduo when four letters picked without replacement from ddoodouud.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/8 + 3241646\/136 + 506\/4301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/4)\/(2\/(-268)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**3 - 25*h**2 - 89*h - 120. Determine l(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*19.\nAnswer: 9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -3*w**2 - 4*w + 4. Let b(h) = -h**2 - h + 1. Let t(f) = -4*b(f) + k(f). Let y(m) = -26*m**2. Give t(y(j)).\nAnswer: 676*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 130 = -0*m - 80. Solve -i = -2*u + 5, 3*u = 3*i + 2*u - m for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 91161957 and 0.5?\nAnswer: 45580978.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/(-3)*15\/(-10) - 4. Let m(c) = -2*c**2 - c**2 + 5 - 3 + c**3 - 4 - 2*c. Calculate m(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521892587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (40\/6)\/(426\/355) and 49\/13.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 1845*t - 315910. Calculate y(191).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -0.5, -1, 4 in decreasing order.\nAnswer: 4, 1\/2, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -3) + (-39)\/24. Let l = -49 - -241\/5. Let z = -339 - -2377\/7. What is the smallest value in l, a, z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*n + 856 = 0, 0 = -n - n - 6. Suppose -w + q = 43. Suppose -4*x - p + w = 0, 4*x + 0*p - 122 = -2*p. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millennium in centuries?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-610)\/6 - (-1)\/(-3). Let g be ((-8)\/1)\/(1\/(-7) - (-1843)\/8148). Let m = g - j. Solve -15 = -3*o + m*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1977 = 913*o + 297 - 2885 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + 7 - (-10 - -28).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-9)\/v**(-1\/11)*(v**(-4)*v)\/(v\/(v\/((v*v\/(v**7*v))\/v*v))*v) assuming v is positive.\nAnswer: v**(-76\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 34325524 rounded to the nearest 100000?\nAnswer: 34300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t**(1\/3)\/t)*t)**(-23))**(-3\/31) assuming t is positive.\nAnswer: t**(253\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + i. Let t(g) = -4 + 6 - 2886*g + 3*g**2 + 2887*g. Calculate -t(s) - 5*x(s).\nAnswer: 2*s**2 - 6*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/13 in 27\/22, -1.5, 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 0. Let y = g + 7. Solve y = -2*s + 3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 97 + -487\/5. Let i = 4.7 - 4.6. What is the second biggest value in o, i, 1, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*t - 548*t = -261*t + 182 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*p**3 + 20*p + 46\/5*p**2 - 80.\nAnswer: 2*(p - 2)*(p + 5)*(p + 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291094214 is divided by 863?\nAnswer: 862","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*i + 4*v, 5*i + 3*v + 10 + 2 = 0. Let l be (-4)\/i - 2\/(-3). Let d be (75\/36 - l) + 0. Which is greater: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 52*p - 63. List the prime factors of u(16).\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 89 and 2225?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 577*w**5\/4 + w**4\/24 + 3775*w**3\/3 + 5*w**2 + 101*w - 2. Find the first derivative of d(x) wrt x.\nAnswer: 17310*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 - 50. Which is bigger: p or 13?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, p: 1, e: 1, o: 5}. Give prob of picking 1 e and 2 t.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3964 - 3965. Put -4, -5, -24, x, 2\/11 in descending order.\nAnswer: 2\/11, x, -4, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyt when four letters picked without replacement from {e: 2, q: 3, f: 2, t: 2, y: 3, c: 6}?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 127704202?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75792 and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 5*z + 20. Let x = 10 + z. What is the third derivative of -4*k**2 + 13*k**2 - x*k**2 + 4*k**4 wrt k?\nAnswer: 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 135*t**3 - 6879*t**2 + 77724*t + 3468.\nAnswer: 3*(t - 34)*(t - 17)*(45*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*d = -4*d - 1590, 2*b - 1605 = d. Suppose 2*l = 5*s - 0*l - 825, -5*s + b = 2*l. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 524.1229 millimeters?\nAnswer: 524122900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 5*c + 792805, -42*a + 45*a - 2378455 = -5*c. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 66\/165 + 8\/5. Sort 5, j, 1\/5.\nAnswer: 1\/5, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -15. Let n = 4 - t. What is the units digit of (-7)\/(-2) - (-4)\/n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 231*v**3 - v**2 + 87*v wrt v?\nAnswer: 1386*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*j*o**2 - j*o - 2087*j - 2*o**3 + 56*o - 2 with respect to o.\nAnswer: -8*j*o - j - 6*o**2 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2557 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2*o + 14 = 0, -u - 14 = -3*u + 5*o. Suppose -2*x - u = -17. Suppose 3*z = 5*f - 13, 3*z - x*f + 9 = -z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/3*-9*3. Suppose 4*j - 6 = o. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04*-1\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1381\/26 + -113\/2. Which is smaller: d or -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*r = 17*r - 220. Let y be 13*(3 + -1)\/(-1). Find the common denominator of 48\/5 and 5\/(y*(-4)\/r).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5*o + 7. Let d(i) = 14*i + 22*i + 7 - 47*i + 6. Let c(h) = 4*d(h) - 7*y(h). What are the prime factors of c(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11379.62 from -1.95815.\nAnswer: -11381.57815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-35)*-1*7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -259, 5 in increasing order.\nAnswer: -259, 2\/17, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(2\/31)\/l)\/(l\/l**(-5)))\/(l**(-2\/3))**2 assuming l is positive.\nAnswer: l**(-428\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.18 + -110902478.\nAnswer: -110902479.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m - 0*m. Suppose -5*g + 8 = -12. Suppose -g*s - c + 51 = -594, 3*s - 5*c - 478 = m. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15468072773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 14*g**2 - 116*g - 930. Calculate b(-11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4184 at least as big as 4184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 57, 27, -29, -117, -243, -413?\n\"Answer: -u**3 - 7*u**2 - 2*u + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 2*d + 98, y - d - 35 = 62. Suppose 4*b = b + y. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31.8135 + -200.86.\nAnswer: -232.6735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9551, -9198, -8845, -8492, -8139, -7786?\n\"Answer: 353*b - 9904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15353851?\nAnswer: 1453, 10567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwfxxjh. What is prob of sequence xjhw?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -150411 (base 11) in base 2?\nAnswer: -111001010100000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12205 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3.18*3\nAnswer: 9.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u + 6*u - 4*u)*(-127*u**2 - 30*u**2 - 558*u**2 + 31*u**2) to y*u**3 + h + f*u**2 + m*u and give y.\nAnswer: 684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 370 a factor of 657805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**2 - 361*n + 25321. What is t(-170)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -387*w - 513*w - 210*w + 518*w.\nAnswer: -592*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 11:18 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 2*v + 3*v - 9, -g + 4*v - 5 = 0. Let y be (-1 + -2)*(-4)\/6. Suppose -16 = -y*x - 2*x. Solve 9 + g = x*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/20 - 6750\/600?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v**(1\/13)*v)\/v)\/v*v**(-3\/10)\/v)\/(v*(v*v*v\/(v*v\/(v**(-3\/8)\/v)*v*v))\/v*v*v**(2\/61)*v) assuming v is positive.\nAnswer: v**(-27941\/31720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)*c*c\/(c**13\/c)*(c**(2\/7))**23)**23 assuming c is positive.\nAnswer: c**(-874\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 6 - 7 = -3*c, 5*y = c - 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**6\/24 - k**5\/12 + k**2 + 4. Let m(h) be the second derivative of x(h). Find the third derivative of m(q) wrt q.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -474.3 or -0.36207?\nAnswer: -0.36207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k**2 - k - 1. Let q be h(-1). Suppose 0*a = 4*a - u - 14, 4*a + 2*u - 8 = 0. What is the tens digit of ((-2)\/q)\/((12\/616)\/a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4796\/17 - -282. Which is the nearest to -4? (a) -2 (b) l (c) 0.2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ga when two letters picked without replacement from aaga?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -754625 (base 8) to base 7\nAnswer: -2100411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 3 - 17. Let r = 0 - n. Let k(h) = -h - 3. What is the remainder when 2 is divided by k(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -206, -517, -1042, -1787, -2758, -3961, -5402, -7087?\n\"Answer: -j**3 - 101*j**2 - j - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -3, 0.4, -9\/4, 0, 13 in descending order.\nAnswer: 13, 0.4, 0, -9\/4, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4914*q**5 - 61*q**2 + 2*q + 1 wrt q.\nAnswer: -294840*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.175 and 0.6.\nAnswer: -0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1212320201 from -0.17.\nAnswer: -1212320201.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 minus 20993?\nAnswer: -21075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h**2. Suppose 2*x + 175 = -4*j + 15, 4*j + 5*x = -148. Let w = j - -42. Let i(o) = -4 + 4 + w*o - o. Determine i(r(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2986 - 2986.0011355. Round a to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.4 (b) -8 (c) -3 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2742*f**2 + 50*f + 4. Does 21 divide k(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -140*p**3 - 1119427*p - 6921458 wrt p?\nAnswer: -420*p**2 - 1119427","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44599 a multiple of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3740049 and 4023?\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t - 13. Let a(f) = -5*f - 13. Let h(j) = -6*a(j) + 7*z(j). Let o be h(11). Calculate the highest common divisor of o and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**3 + 386398*o**2 + 4636992*o + 13911192.\nAnswer: -2*(o - 193211)*(o + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170*(-6)\/(-72) + (-60)\/(-360).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 227, 232, 237?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = -3*s, 5*s - 223 = 2*h - 249 + 196 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.408 + 0.148. Let i = 2.74 - h. Which is the second biggest value? (a) -0.1 (b) i (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 1 - (11 - 15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4654 + 14?\nAnswer: 4668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 16. Let x be (l + -6)*2*1. Let m be 1\/4 - (-52)\/(-16). Is m >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 39*t + 45. What is a(38)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.4, 2, -12.2, -0.3 in decreasing order.\nAnswer: 3, 2, -0.3, -0.4, -12.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 + 3*m + 7. What is the common denominator of -1 and i(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 594\/15*((-2)\/(-12))\/((-34)\/(-2040)*-4).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -198, -164, -140, -132, -146, -188, -264, -380?\n\"Answer: -a**3 + a**2 + 38*a - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -59, 48, 155, 262, 369?\n\"Answer: 107*y - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 5425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -10*u + u - 17 + 10. Suppose 4*f - 25 = 5*l, -23 = 2*f - 7*f - 2*l. Let i(x) = -13*x - 11. Let v(n) = f*i(n) - 8*m(n). Calculate v(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d4 (base 16) to base 13.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -18 + (8 - (-3 - -10))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q = 5*k - 20*q - 15904, -12704 = -4*k - 4*q. Does 74 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uvyyyuvyuyzvvl?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of y**3\/3 + y**2 + y + 24. Let b(o) = -o**3 + o - 3. Let k be b(0). Let t be a(k). What is the smallest value in 1\/2, t, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*x + 76*x - 161*x + 11*t - 219 = 0, -3*x - 3*t - 198 = 0 for x.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*x - 3*j = 43*x, 10 = 2*x - 4*j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 16*p + 15. Let d be w(5). Let m be 10*(2 + 14\/(-4)). Let o = m - d. Is o a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2144 and 8555096?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -139 + 97. Let c = -56 - s. Which is smaller: c or -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 11 + 13. Solve 0 = -0*o + 3*o + q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k + 11. Let s be o(7). Solve -7*i = -6*i + s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/1524 and 34\/249.\nAnswer: 126492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/((p*p\/(p*p**(8\/3))*p*p)\/p)*(p*p**(-2\/37))\/p*((p*p**(-6\/5)\/p)\/p)**11 assuming p is positive.\nAnswer: p**(-11981\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*p - 144*p + 147 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1194*a = 1191*a + 3*b + 18, 4*a = b + 12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.1582051 kilograms?\nAnswer: 158205.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, s: 7, d: 2}. What is prob of sequence dsdr?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466419?\nAnswer: 3, 155473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405 is divided by 35.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 80741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3784*z - 4389. What are the prime factors of p(10)?\nAnswer: 11, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1031*f = 1766 - 10894 - 8399 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 509452.3 millennia in decades?\nAnswer: 50945230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16978316 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-160))\/(48\/64)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-110)\/(-20))\/((-1)\/(-8)). Let d = u + -42. Suppose 8 = 2*h + d. Solve 0 = -h*o + 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (3 + -8 - -9) - 7) + -6?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 47, 105, 163, 221, 279?\n\"Answer: 58*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.2 - 0. Let o = a - -1.8. Let r = -2.8 + 3. What is the nearest to 2\/3 in o, r, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -m**6\/120 - m**5\/10 + m**4\/24 - 2*m**2. Suppose -104*p = -88*p - 1648. Suppose 25 - p = 13*j. Calculate r(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -391.9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -140 + 233. Suppose 25*q = -2*a + 24*q + 15, -3*q - 3 = 0. What is the remainder when u is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1, -17, -45, -85?\n\"Answer: -6*f**2 + 2*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 91 = 5*f - 14, 4*s - 3*f - 91 = 0. Let m = 24 - s. Sort m, 0, -3 in decreasing order.\nAnswer: m, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12230330211 + -21?\nAnswer: -12230330232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (0 - -1) + (21 + 11 - 144) + 7.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, z: 3, b: 1, h: 2, k: 2}. What is prob of sequence kh?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3445*p + 5874. Let q(t) = 10334*t - 17377. Let o(m) = -24*f(m) - 9*q(m). Find the first derivative of o(z) wrt z.\nAnswer: -10326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1449)\/(-207))\/(35\/(-155))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2630.17 and -4.\nAnswer: 10520.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266508 is divided by 57?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 5. Let t = s - 0. Suppose -3*p + p + 2*l = -t, -4*p = 3*l - 20. Solve -2*o + p + 1 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12120102 (base 3) to base 15\nAnswer: 130b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35\/6, 19, 1 in decreasing order.\nAnswer: 19, 35\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 + 68*f + 61. Let a be 6*(-9 + 8) - 38. List the prime factors of l(a).\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*t - 351 = -93*t. Let k(x) = -23*x. Let w(c) = -23*c. What is t*k(g) + 4*w(g)?\nAnswer: -23*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l**3 + l**2 - l. Let r(v) = -301*v**3 - 3*v**2 + 5*v - 2. Let k(g) = -5*n(g) - r(g). Find the third derivative of k(d) wrt d.\nAnswer: 1656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4396464 and 1512?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 21404300?\nAnswer: 21404263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -175\/9 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4873000 rounded to the nearest one hundred thousand?\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75 - 74.87. Is s at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60244082?\nAnswer: 2, 103, 109, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -17*d**6\/6 - 13*d**4\/4 - 82*d + 2. Find the third derivative of n(q) wrt q.\nAnswer: -2040*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 249, 998, 2257, 4026, 6305, 9094?\nAnswer: 12393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 6*m - 3*m)*(6078 - 19066 + 26359 - 56428 - 11291 - 54886).\nAnswer: -109234*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -2. Let h(a) = -3*a**3 + 5. Let m(b) = 1. Calculate j*m(w) - h(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -106786.\nAnswer: 32035.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/6 + 268*p**2 + 1422414*p.\nAnswer: -p*(p - 3834)*(p + 2226)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**3 + 2*h**2 - 2*h - 1. Calculate c(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 158*s**5\/5 - s**3\/3 + 12*s - 13. What is the third derivative of m(q) wrt q?\nAnswer: 3792*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 232 divided by -58.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106180 is divided by 8848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 114 - 130. Let j(k) = 2*k + 152. Let l be j(a). What is the highest common factor of l and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, v: 15}. Give prob of sequence ovo.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10676 - -10678. Let v(l) be the second derivative of -2\/9*l**3 + 31*l + 0*l**b - 1\/60*l**5 + 0 - 5\/36*l**4. What is z in v(z) = 0?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-2*(-4)\/76). Suppose -g - 18 = w - 2*g, -4*w - g = 82. Let a = w - j. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 4*u - 3*u)*(-15 + 15 + 8*u**2 + (1 + 5 - 4)*(-3*u**2 + 3*u**2 - 2*u**2)).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 609226239?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2650637029?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3683372261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 806326 + 9*v**3 - 806326.\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 10*j**2 + 5*j - 5. Determine w(-9).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00026599492 rounded to five decimal places?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 131.\nAnswer: -4\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 11:42 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 188*x**3 + 2. Let a(m) = -937*m**3 - m**2 - 11. Calculate 4*a(j) + 22*s(j).\nAnswer: 388*j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 11 - 9*k**3)*(8 - 38 - 36).\nAnswer: 594*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 423 + -367. What is the least common multiple of g and 12?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 34\/109 (b) 0.4 (c) -3\/5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a + 1 - 6*a - 35*a. Suppose -2*u - 2*u = 8. Is i(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70703317601 + -3\nAnswer: 70703317598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1200129, 2400260, 3600395, 4800534, 6000677?\n\"Answer: 2*c**2 + 1200125*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1*sqrt(190) + sqrt(190)))\/sqrt(10).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -7 - q**2 + 7. Let n = 61 + -46. Let g(m) = -n*m + 16*m + 11*m. Determine g(p(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.069 and 1110559.\nAnswer: 1110558.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 o when two letters picked without replacement from {d: 1, k: 2, o: 4, q: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -107*n**3 + n**2. Suppose 4*f - x = 3*x - 12, -4*x = -3*f - 11. Let p be h(f). Suppose 9 - p = -3*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -v. Suppose -4*l - 12 = v, -2*p - 5*l + 5 = 3*p. Calculate the least common multiple of 24 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 39*j**2 - 88*j + 249. Let q be s(41). Solve 5*a = 6*a - 1, 2*g - q*a = -5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3428661 and 213.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1294 (b) 2\/3 (c) -5 (d) 1 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 437, 415, 371, 293, 169?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**3 - 38*r**2 - 138*r - 267. List the prime factors of m(34).\nAnswer: 5, 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/9)*x\/(x**(1\/6)\/x)*x*x*x**(-6)*x**(3\/8)*x*(x**(4\/9)*x\/x**4)**(-16) assuming x is positive.\nAnswer: x**(2903\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20\/6741 - -334309\/1348200. What is the common denominator of n and 91\/75?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.2408714 rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 11 + 13 = 0. Let p(g) = 9*g + g**2 - u + 3*g**2 - 5*g**2. Let a be p(6). Solve -z = 2*z - a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 5)*(-197 + 87 + 88)*(-3*a + 0*a + 0*a).\nAnswer: -528*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -655 > -2473?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 7*f**2 + 3*f - 7. Let c = -63 - -70. Let m be n(c). Let g be ((-3)\/(-9))\/(26\/m - 2). Is 0.1 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n - 2. Let r(d) = d**2 + 3*d - 11. Calculate the remainder when f(5) is divided by r(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 263, 848, 1977, 3830, 6587, 10428, 15533?\nAnswer: 22082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 396490444 and 254886714?\nAnswer: 3568413996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -300096? (a) 79 (b) -1 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 4*h = 8, -3*g - g - 16 = -4*h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/54*(-309)\/(-2) and -23\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93763048 to the power of 1\/3, to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/4 + 0\/(38 + -14) - 0. Let a(h) = h**2 - 10*h + 9. Let x be a(9). Is x less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -y**4\/20 + 43*y**3\/15 - 83*y**2\/10 + 41*y\/5 - 1364. Factor d(k).\nAnswer: -(k - 41)*(k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 16297301 to the power of 1\/2, to the nearest integer?\nAnswer: 4037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjjtjdjddddjjdjd. What is prob of sequence dtj?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-57))\/((-460)\/(-43700))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + h + 1. Let b(i) be the third derivative of i**5\/15 - i**4\/4 - i**3 + 31*i**2. Calculate b(q) + 6*u(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/16974 and 133\/5658.\nAnswer: 16974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 216184596 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 542184, 2168725, 4879634, 8674911?\nAnswer: 13554556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, a: 11}. Give prob of picking 1 u and 2 a.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-2)*2)\/((-3)\/2). Solve 0 = -4*d + 5*w - 1, 3*d = -g*d + 3*w - 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 10 = 2*k + 5*d, 0 = -4*k - 5*d + 8. Let m(u) be the second derivative of u**3\/2 + u**2\/2 + 2*u. Give m(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**2\/2 + 1. Suppose 5*z + 36 = 9*z. Let f(x) = 6*x**2 - 9*x. Let t(q) = z*l(q) - f(q). Let s(m) = 2*m. What is t(s(k))?\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52159.\nAnswer: 43, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + -11. Let f(g) be the second derivative of g**5\/20 + 7*g**4\/12 + 5*g**3\/6 + 3*g**2\/2 - 12*g. What is the remainder when v is divided by f(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*u**3 - 19601566*u**2 + 453*u - 282099 wrt u.\nAnswer: -30*u - 39203132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10300 + 10302. Find s such that 10\/7*s + 9\/7 + 1\/7*s**j = 0.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1342, 1333, 1310, 1267, 1198, 1097?\nAnswer: 958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 2*j + 2. Let c(z) = -2*z**2 + 1 + 3*z**2 - 3*z**2 + 3*z**2 + z. Let d(u) = -4*c(u) + 2*w(u). Let q(m) = -3*m**2. Calculate q(d(s)).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23701224 to the nearest integer?\nAnswer: 4868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 + 4*v**2 - 3049*v**3 + 6105*v**3 - 3097*v**3 - 3*v**2.\nAnswer: -41*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 16\nAnswer: 4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*o - 2*o. Suppose 49 = 2*b + o. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 7*d**2. Let b = -155 - -169. Let a(m) = -b - 16 - 17 + 45 - 9*m. What is r(a(u))?\nAnswer: 567*u**2 + 252*u + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -1003)*7\/(-56). Let o = d + 809\/8. Calculate the common denominator of o and (-4)\/16 + (-171)\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*u + 70. Let v = -37 + u. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/(313 - -9))\/(-1 - 0) - 228\/(-4760)?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1568 + 113. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1176 and -1177 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 7*p - 1. Let m be (p + -3)\/((-3)\/1572). Suppose 21*d + m = 25*d. List the prime factors of d.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -934158 and -934158 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 0*y**2 - 2*y + 1\/20*y**5 + 0*y**4 - 1\/6*y**3 + 0. Factor r(p).\nAnswer: p*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/6*(-6)\/(-4). Solve 3*t = -j - 3, 3*j + 1 - 3 = y*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 5*w - 2*w + (5*w - w - 6*w)*(1 + 3 - 6) - w + 0*w + 2*w + 7*w + 3*w - 3*w + w + 0*w + 2*w.\nAnswer: 16*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 284.6 - 4.\nAnswer: 280.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-3\/2))\/z**(4\/17) assuming z is positive.\nAnswer: z**(-25\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2251 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: b\"What is the oth term of 11751, 23089, 34427?\n\"Answer: 11338*o + 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 2:27 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/17 (b) -1\/313 (c) 5 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 614448 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + k**2 - 2*k**3)*(-2923 - 3744 + 394*k - 396*k).\nAnswer: 4*k**4 + 13334*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000302078 rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 627 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and -0.039.\nAnswer: 0.0234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**3\/6 - 7*f**2\/2 + 7541*f. Let l = 6 - 13. Let a(x) = -x - 1. Let u be a(l). Give q(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -43, -157, -411, -859?\nAnswer: -1555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and 42?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, -4, -0.02, -120, 1, 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 2:54 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-11)*t**(3\/8))\/((t*t**8\/t)\/t*t**(2\/9)\/t) assuming t is positive.\nAnswer: t**(-1213\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-6 - (-115)\/20). Factor -j*b**3 + 0 - 3\/4*b**2 - 1\/2*b.\nAnswer: -b*(b + 1)*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 251 - -53. Suppose 0 = 6*k - 940 + u. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -6. Suppose 0 = -h*w - 3*j - 70 + 193, 2*w = 3*j + 62. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -15. Is 15\/(-45) - (-152)\/w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 1)*(4 + 13*f - 4) + 0*f - 3*f + f.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 31*r**3 + 42*r**2 + 2*r - 1. Calculate j(-2).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, y: 11, b: 4}. What is prob of picking 1 b and 1 a?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 2:42 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/6 - (0 - 17). Suppose -4*n - 4*c + b = -11, 0 = n - 4*c + 14. What is the hundreds digit of 1 + n + (-2 - (-2 + -123))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3119 is divided by 173.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 6:35 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n**2 + 22*n - 390. Let s be g(6). Is s > -217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1768003195 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39131\/355 + 551\/5. Let w = 83\/426 + s. Let k be ((-6)\/(-90))\/(3\/(-18)). What is the third smallest value in -3, k, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1210112 - 1120?\nAnswer: -1212002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-2)*0 + -8. Let t = 65 + x. Suppose 0 = w - 0*k - 2*k - 15, -3*w = -4*k - 49. What is the highest common factor of t and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(sqrt(588) + sqrt(588)*-1 + sqrt(588)).\nAnswer: sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -181 and 0.09?\nAnswer: 181.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 52*n + 48. What are the prime factors of r(23)?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13ab - 196?\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239 - 2\/(-3 + 5\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18109 + -18034. What is the remainder when 364 is divided by h?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (10 - 8) + 5 - 8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1125)\/2816 + 1\/11. Let c = 5893\/5376 - s. Find the common denominator of 17\/54 and c.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 111250422?\nAnswer: 111250414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**5\/7 - 4*b**4\/7 + 6*b**3\/7 + 8*b**2\/7 - 8*b\/7.\nAnswer: -2*b*(b - 1)**2*(b + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -154771 (base 11) to base 9\nAnswer: -405817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1932 divided by 6.\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**3 - 293910*i**2 + 587824*i = 0. Calculate i.\nAnswer: -293912, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -35 + -8c?\nAnswer: -c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -14. Let x(s) = -3*s + h*s + s. Let o(z) = 13*z. Give o(x(l)).\nAnswer: 26*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -61.1*0.04139\nAnswer: -2.528929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -10321 (base 8) in base 14?\nAnswer: -17d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 9:19 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 73401.6582 rounded to zero dps?\nAnswer: 73402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -278*d + 283*d - 15. Suppose -6*l + 2*l - 4 = 0. Sort l, 4, d in decreasing order.\nAnswer: 4, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-2)*10\/4. Let i(h) = -h**3 - 7*h**2 - 10*h - 9. Let r be i(-6). Suppose -5*j - 5*b + r = 0, -n*j + 5*b - b = 12. Solve j = -2*g - g - 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + s + 4*q + 3, -3*q - 6 = 2*s. Let r(f) = 1. Let m(y) = -y - 7. Let w = 14 + -15. Give s*r(h) + w*m(h).\nAnswer: h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 24*c**2 - 3*c - 3. List the prime factors of r(-24).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**5\/6 + 4*l**4\/3 + 5*l**3\/3 - 4*l**2\/3 - 3*l\/2 = 0 for l.\nAnswer: -1, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 15*n**2 + 15*n - 12. Let j be k(-16). Solve j*w = 4 - 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 7 = 3*u - 23, 3*f + u - 8 = 0. Suppose -2*s = 5*k + 5, -4*k - 7 = 5*s - 4*s. Differentiate -f*c - s - 2 + 6 - 3 wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -20*p - 2*p**2 + 9*p**2 - 20*p**2 + 4*p**2 + 60. Let x(m) = -25*m**2 - 60*m + 180. Let f(r) = 17*q(r) - 6*x(r). Differentiate f(z) with respect to z.\nAnswer: -6*z + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 1. Suppose -r - 2*k + 16 = 0, 13 = -g*r + r + 5*k. Factor 94*p**3 + 386*p**2 + r*p**4 + 114*p**3 + 18 + 14*p**4 + 156*p.\nAnswer: 2*(p + 3)**2*(4*p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2813?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 47714 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.160468 less than -0.233517?\nAnswer: -1.393985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -d + 2*d - 6, -2*d = 5*m - 12. Let r = -3 + d. Suppose -n - g = -5, -r*g + 6*g = -2*n + 11. Solve 5*b + 4*c = 36, 0*b + b = -n*c + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 + 55 = -3*f + 4*o, 0 = -77*f + o - 1285 - 639 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + (-3*(sqrt(243) - (sqrt(243)*-2 + sqrt(243))) - sqrt(243)) - sqrt(243))*-1)\/(sqrt(144)*-1*1 - sqrt(144) - 3*(sqrt(144)*-2 + sqrt(144))).\nAnswer: 21*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32273774 and 82966?\nAnswer: 32273774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.039 + 123\nAnswer: 123.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5604 * -0.3\nAnswer: 1681.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 - -193?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.12 and 6.94517213892.\nAnswer: 8.06517213892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 7 = -5*m, -2*m + 8 = -2*w - 2. Suppose 4*h - 1 = x, 3*h - m*x - 4 = 2*x. Suppose -10*y = -h*y - 6*y. Which is bigger: 1\/3 or y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 889300743 a multiple of 2257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 112680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -671 + 231 = -22*x for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24868 is divided by 3551?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 542*y**2 - 3*y + 3*y - 1063*y**2 + 480*y**2.\nAnswer: -41*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/5 and -47\/895.\nAnswer: 895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 104, 219, 370, 551, 756, 979, 1214?\nAnswer: 1455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v**2 - 25*v - 4. Let o be ((-4)\/6)\/((16 - (-2716)\/(-105)) + 10). Let z(d) = 5*d**2 + 38*d + 6. What is o*z(r) - 8*y(r)?\nAnswer: -r**2 + 10*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2 + 7*l. Let v(k) = 3*k**2 - 11*k. Let w(x) = -5*v(x) - 8*y(x). Let u be w(2). Calculate the greatest common divisor of u and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 835701.\nAnswer: 250710.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -29 - -43. Suppose 4*i - c - 3 = 6, 0 = -5*i - c. Suppose -3 = -w + i. Solve b + 2 = -w*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 330*s - 318*s = 4008. Calculate the highest common factor of 22 and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2059061925, 2059061926, 2059061927, 2059061928?\nAnswer: 2059061929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1255.091 rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21910604.\nAnswer: 2, 107, 51193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -1019*s + 713. What is the tens digit of j(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/12586 and 91\/20.\nAnswer: 125860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/8, 1.18, 2\/115, -2, 1\/6, 13?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6*c - 222. Calculate z(-36).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (668*d**3 - 252*d**3 - 286*d**3 + (0*d + 0*d + d)*(0*d**2 + 0*d**2 - 2*d**2))*(2 + 4*d**2 - 2).\nAnswer: 512*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**4\/3 + 317*b**3 - 11469*b**2 - 1057711*b\/3 - 340784 = 0.\nAnswer: -19, -1, 59, 912","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 208841940 divided by 204747.\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in 0, 41.2, 17, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16999 + 116435 = 25*s - 16*s. List the prime factors of s.\nAnswer: 2, 3, 7, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 11:37 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (3154\/415)\/(14 - (-4876)\/(-345))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, 0.2, 7, -1, -149 in increasing order.\nAnswer: -149, -45, -1, 0.2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/10 and -3\/1414.\nAnswer: 7070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five eighths of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*m = 81. Let w = 84 + m. Sort -14, -4, 1, w in descending order.\nAnswer: w, 1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4286 is divided by 113.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4943 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9\/4 - 5\/2. Let x = 0.8 - 1. Let d = 0.3 - x. Which is the nearest to z? (a) 5 (b) d (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3576927287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 179359 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-3\/19)*w*w\/(w*w**9*w))\/(w**(19\/4)*w**(-26)*w) assuming w is positive.\nAnswer: w**(919\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - (-34)\/6)\/(292\/4161). Put 0.4, 1, 1\/6, k in decreasing order.\nAnswer: k, 1, 0.4, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 8) in base 16?\nAnswer: f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/(-2))\/(2\/(-4)). Suppose -2*j - j - 4*t + 9 = 0, p*t + 29 = 2*j. Suppose -107 = j*g - 443. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*i + 0 + 0 + 2*i + (1 - 4 + 5)*(2*i + 3 - 3))*(-2*i + 5 - 5).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 95.36 - 95.484. Which is the nearest to 2\/7? (a) h (b) 1\/3 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184034 and 44631.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 15 = -6, 0 = -4*t - d + 18143. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 0.062 (c) -0.1 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 + 2154*h.\nAnswer: 3*h*(h + 718)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8659919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 723960 and 240?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 131, -126, -553, -1150, -1917, -2854, -3961?\n\"Answer: -85*h**2 - 2*h + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 2*s + 31. Let a(w) = w**2 - w - 1. What is 2*a(k) + q(k)?\nAnswer: k**2 + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5244300 + -2?\nAnswer: -5244302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -477*o - 272. What is r(-2)?\nAnswer: 682","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -230, -908, -2036, -3614, -5642, -8120?\n\"Answer: -225*w**2 - 3*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1.2 = -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -262 - -2093\/8. Let d = 3 - 15. Let s = d + 13. Which is the third smallest value? (a) -4 (b) h (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 11 = 2*f - 4*f, 5 = 2*f - h. Suppose 0 = -f*k + 4*n + 8, 2*k + 3*n - 18 = k. Let q = k - 2. Solve 2*m - 2*x + 11 = m, -q*m - 9 = -x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122462 is divided by 310?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18345336, 18345359, 18345398, 18345453, 18345524?\nAnswer: 18345611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-9))**47 assuming v is positive.\nAnswer: v**470","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -726 - -12317\/17. Find the common denominator of d and -67\/4.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 100\/(-75)*(3\/(-2) + 2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 16) in base 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*l + 83*l - 81*l)*(-3*l**3 + 3*l**3 + l**3)*(-15*l - l - 5*l).\nAnswer: -945*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3000)*-1)\/((sqrt(1000)*4*2 - sqrt(1000)) + sqrt(1000)).\nAnswer: sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16928 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 29987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 9 = -3*n, 5*n - 5 = 5*q + 30. Let g(o) = -2333*o**2 - 5*o + 7. Let x be g(n). Let k = x - -19541. Round k to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 7984*m + 47940.\nAnswer: -(m - 6)*(m + 7990)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2714854 is divided by 372.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*b - 60 = 70*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1069128 divided by 279\nAnswer: -3832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a factor of 8563061?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 9*s + 13. Calculate the remainder when 23 is divided by v(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136, 1087, 3670, 8701, 16996, 29371?\nAnswer: 46642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299212 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -595 divided by -6.\nAnswer: 595\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + 9\/15 + (-26)\/10. Put -0.06, 1\/11, o, -4 in descending order.\nAnswer: o, 1\/11, -0.06, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 54*v + 3 + 43*v)*(-2*v + 0*v + 4*v) in the form y*v**2 + t*v + c and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*r - 22*r - 82. Suppose h = -3*h + 44. What is the remainder when r is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) 0.3 (b) -10 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1674*p = -1670*p - 32 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 282296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*z - 152 = -z, -w - 5*z = -25. Suppose -h + w = 4*h. What is the highest common divisor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 293 - 857. Let f = -23 + w. Calculate the highest common divisor of f and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1210358458 - 1210359001.0001108. Let l = p - -543. What is l rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is ba - -189?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -20*b + 89. What is p(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vmu when three letters picked without replacement from bbviumvt?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 12 + 4*h + 7*h - 4*h. Let i be 2\/((-100)\/(-45) - 2). Is q(i) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*u - 53*u - 4*u**3 - 3*u**3.\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u - 4 + 4 - 10 + 0 - 3. Determine o(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 2*c + 16, 4*z - 7 = 2*c + 7. Suppose -44 = -z*n - 9. Calculate the smallest common multiple of 11 and n.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**3 - 51*l + 110*l - 59*l + 2*l**2 + 0*l**2.\nAnswer: -6*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*n - 209 - 149 = 71 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*q - 6*u - 182 = 24*q + 2*u, q - 79 = 16*u - 18*u for q.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(4) - (sqrt(4) + sqrt(32)\/(2*sqrt(8))))\/(sqrt(16)\/sqrt(2)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 173 + -172. Let f(o) = x - o - 1 + 16*o - o. Let l(s) = -16*s. What is l(f(g))?\nAnswer: -224*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 981217 to the power of 1\/2, to the nearest integer?\nAnswer: 991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -540, -532, -514, -480, -424, -340?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-1 - -2) - (2 - -2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(190)*1 - sqrt(190) - 5*(sqrt(190) + sqrt(190)*-2))\/(sqrt(1440)*-1*-5).\nAnswer: -sqrt(19)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37361052?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 11:06 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**3 - 6*s**2 - 6*s + 6. Let n(i) = -2*i**3 + 5*i**2 + 5*i - 5. Let j = 45 - 40. Calculate j*q(a) + 6*n(a).\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -6*u + 3. Calculate f(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 12:50 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*d - 20*d - 152 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 167 = 2*c - 51, 2 = -i. Let n = c + -106. Solve -16 = n*f, 6*y - 3*f = 3*y + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (112\/(-6))\/(-1 - (-14)\/21). Suppose -32*t = -40*t - o. Let x(s) = s**3 + 6*s**2 - 7*s + 1. What is x(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -l - 3*s, 2*l + 13 = -2*l - 3*s. Let p(b) = 0*b - 3 - 1 + b + 13. Let o be p(l). Solve -4*v - 12 = 5*d + 13, -3*v + o*d = -10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2399309504 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 58237 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c = -18 - 2. Suppose -m + 5*t + 36 = 0, -c*m + t + 46 = 4*t. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 3:26 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1446430510 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -176*v. Let m(f) = -129*f. Let k(b) = 10*b. Let l(z) = 52*k(z) + 4*m(z). What is l(w(d))?\nAnswer: -704*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4*y - 10 = 0, -9*w = -4*w + 3*y - 4. Suppose -3*b + 5 = -5*s - w, 5*b - 25 = -5*s. Solve -i - 2*x = -b*x, 3*i - 2 = 5*x for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*(4 + sqrt(8)).\nAnswer: 6*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/7 - 189328*o\/7.\nAnswer: -2*o*(o + 94664)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2765*s - 17277*s + 950*s - 291 - 3072*s.\nAnswer: -22164*s - 291","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of -x**7\/525 - x**6\/150 - x**5\/150 + 23*x**2\/2 + 18*x. Let u(q) be the first derivative of v(q). Find g, given that u(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 + x**3 - 3*x**3)*(-6*x**2 - x**2 - 36*x + 37*x).\nAnswer: 7*x**5 - x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10373 is divided by 225?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106567392 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/(-7*49\/2744)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3589447 is divided by 1149.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59821, 59820, 59819, 59818, 59817, 59816?\nAnswer: 59815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 20*z - 32 = 17*z, 0 = 5*z + 20. What is the second derivative of -69*s**2 - 3*s + 6 - 13*s**4 - j*s**4 + 25*s**4 wrt s?\nAnswer: 12*s**2 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 - 156*a + 474*a - 3 - 165*a - 165*a. Determine t(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 8*p - 146. Let j be (-57*(-6)\/(-36))\/((-1)\/2). Let t be n(j). Let d(f) = f**2 - 6*f - 3. Calculate d(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 76 = -5*d + 119, 3*d - 3*z = 144. Solve d + 35 = 26*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3*-1)\/3 + 5. Let q be 8\/9 + (-9180)\/(-8262). Solve 6*h - q = r for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 - 4) + (-3)\/(0 - 3). Let y = 16 - -19. Suppose 10*i - 3*i - y = 0. Solve 3*a = i*v - 10, a - q + 13 = -5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*8228.\nAnswer: -822.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 1)*(1 - 2 + 4)*(3 - 6 + 2)*(2*k**2 - 2*k**2 - 2*k**2) to a*k + r*k**2 + b and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1130)\/904*8\/4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416*x + 4535 = 7447 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 21, 54, 119, 228, 393, 626?\nAnswer: 939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and -1.3.\nAnswer: 0.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/21 - 2*m**2\/21 - 74*m\/21 - 10\/3.\nAnswer: 2*(m - 7)*(m + 1)*(m + 5)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 9 - 1\/66*m**4 + 0*m**3 + 4\/11*m**2 + m. Solve y(x) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -681, -1357, -2033, -2709, -3385, -4061?\nAnswer: -4737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7093, -7094, -7095?\nAnswer: -7096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2750 + -2744.708. Let c = d - 5.3. Round c to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1045271181 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 6. Let h = q + -1. Let v = -1 + h. Which is the biggest value? (a) v (b) -0.2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 760952 less than -0.0373?\nAnswer: -760952.0373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1*j)\/j**(1\/2))**(9\/10) assuming j is positive.\nAnswer: j**(27\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8169\/483 + (-6)\/(-69). Suppose 50014 = 3*w + b, h*w - 22*w - 3*b = -83350. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 5*u**2 - 3. Let j(l) = -l**3 - 5*l**2 + l + 3. Let y(x) = -5*i(x) - 4*j(x). Let f be -72 + 76 + (1 - 9). What is y(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - 5*f**2 + f - 2. Let k be u(5). Suppose k*l + l = 152. Let p = -14 + l. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 4, 10 = 2*b + 3*z - 4*z. Solve -3 = -b*j + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -9.5. Let k = -2.5 - m. Let w(g) = g**2 + 13*g - 73. Let i be w(-17). What is the smallest value in k, 3\/2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 3, 0, 0.015?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -102302332111 (base 4) to base 14\nAnswer: -92399b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 191690 divided by -661.\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-2 + 3))\/(-7). Let t = -13 + 12. Let g = 2 + -1. What is the closest to x in 5, g, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5697.\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*r**2 + 11042*r - 3*r**3 + 184*r**2 + 63*r**2 - 5518*r - 5524*r.\nAnswer: -3*r**3 + 185*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/862316?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 2\/1263 (b) -0.5 (c) -0.3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-6 + 1) - (5 + -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10345710 by -1724285.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1475, 1470, 1465?\n\"Answer: -5*n + 1480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1843*o + 159903 = -430*o + 65232 for o.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 661.1223l?\nAnswer: 661122.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10666*l + 11339*l - 21995*l.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18981182 is divided by 10834.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 187 (b) 2\/23 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3865256\/7 or -552180?\nAnswer: -3865256\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 - 4*k**2 + 2*k**3)*(-21*k + 21*k + 9*k**2) + 4*k - k**5 - 4*k.\nAnswer: 17*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**(4\/7)*b)*b**(-2))\/(b**12\/b*(b\/(b*b*b**(-7)))\/b))**25 assuming b is positive.\nAnswer: b**(-3425\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**5\/11 - 2842*x**4 - 11121440*x**3 - 121992200*x**2 = 0 for x.\nAnswer: -7810, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -646, -125, 406, 953, 1522?\n\"Answer: u**3 - u**2 + 517*u - 1163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/38098 and -53\/10?\nAnswer: 190490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-35)*(-2)\/4)\/1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 3:00 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -15. Suppose 2*j = -q*j. Suppose 4*s + 0*s + 160 = j. What is s rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*y = 42, 5*z + 13 = -5*y - 17. Let u(l) = -1199 + 0*l**2 + 396 + 407 + 399 + 8*l**2. Let w(j) = -12*j**2 - 5. Give z*u(g) - 5*w(g).\nAnswer: -4*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 9. Let i be 3*(-2 - (4 + -7)). Suppose -k + 11 = -2*s, -k = -5*s + k - 26. What is the smallest value in s, i, n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(2401) - sqrt(49))\/(sqrt(7)*-1*5)*5.\nAnswer: -27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 - -0.3. Let o be ((-6)\/54)\/(40\/(-15) - -3). Which is the closest to p? (a) -1 (b) 0.2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -393, -779, -1165, -1551, -1937?\n\"Answer: -386*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62 - -62. Suppose y = 4*h - 12997007 - 682993. What is h rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2824 in -1\/8, 3, -23.824?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2161, -1, -2, -170 in increasing order.\nAnswer: -2161, -170, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -3.1. Let i = -3 + 3. Let m = i - 0.4. Sort m, 1, t in ascending order.\nAnswer: m, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of 53*v**8\/28 - v**6\/3 + v**4\/2 - 97*v**3\/6 + 3302*v. Find the third derivative of w(a) wrt a.\nAnswer: 12720*a**3 - 240*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -14*t - 3. Let r(k) = 3*k. Let f(a) = -p(a) - 4*r(a). Calculate f(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80136.81 years to centuries.\nAnswer: 801.3681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (18 + 7)) + 11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/220 and -113\/18750340.\nAnswer: 206253740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 6, 34 in descending order.\nAnswer: 34, 6, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5285089\/68 - -77724. Let g = 5\/34 + s. Factor -3\/4 + 3\/4*f**3 + g*f - 9\/4*f**2.\nAnswer: 3*(f - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**4\/2 + d**3\/6 + d**2 - 11*d. Let p be y(-1). Suppose p*l + 32 - 571 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152074 at most as big as 152072?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 376.7894 nanograms to grams.\nAnswer: 0.0000003767894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 greater than or equal to -227980?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 28438097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**3 - 270*h**2 + 8971*h - 299. Calculate q(76).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g + 16. Let b be z(7). What is the tens digit of (-288)\/(-13) + b\/(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t**3 + 2*t**3 - 2*t**3)*(11 + 0 - 3 - 4 + 8 + 3 + (1 - 3 + 3)*(-1 + 5 - 1)) to w + x*t + o*t**3 + d*t**2 and give o.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-66) - 84\/(-22). Let v be (-18)\/(-10) + x\/20. Find the second derivative of 2*r**2 - 2*r - v*r**2 - 3*r**2 + 6*r**2 wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l*v**3*y**2 - 2*l*v**2*y + 2*l*v**2 - 300*v**3*y**2 + 5*v**2*y**2 wrt v?\nAnswer: -6*l*y**2 - 1800*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1682, 2311, 2940, 3569, 4198?\nAnswer: 4827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 738 and 22058?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, c: 10, k: 1, b: 1, o: 2}. What is prob of sequence bo?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.05 to 1 dp.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -11*k**3 - 5 + 6*k**3 + 8*k**3 - 2*k**3 - 9*k**2 - 9*k. Let b be c(10). Solve n + 7 = b*j - 0*n, 3*n - 13 = -2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1510, -1508, -1506, -1504?\n\"Answer: 2*z - 1512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 73668798 divided by 36834399?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1691*o + 38*o**2 + 1694*o + 7*o**2 as g + w*o + l*o**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 128*t**2 - 205*t + 3631. Is p(-145) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 17 = -7 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4244 and 36.\nAnswer: 38196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -l - 7*r, -618676*l - 164 = -618671*l - 3*r for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 3*h - 5051, 3*p - p = 3*h + 5021. What are the prime factors of p?\nAnswer: 2, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -8*g**3 - 5*g**2 - 5*g - 3. Let f(p) = -9*p**3 - 6*p**2 - 6*p - 2. Let r(x) = 5*f(x) - 6*y(x). Differentiate r(j) wrt j.\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*l + 10. Calculate the common denominator of 298\/36 - l\/(-18) and (-1 + (-31)\/(-16))\/(108\/(-1104)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 10:03 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + (-219)\/(-81))*(-2)\/24. Which is bigger: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 912701, 1825405, 2738109, 3650813, 4563517, 5476221?\n\"Answer: 912704*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 4*w - 60351 + 122076 - 61725.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 0 + 2*t + 0. Let j(q) = -6*q - 5. Let f(s) = s + 3. Let i(v) = -3*v + 6. Let r(l) = 4*f(l) - i(l). Let b(w) = 6*j(w) + 5*r(w). Give -4*b(x) - p(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71 or -107?\nAnswer: -107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = 23*d - 323. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/11)*y)\/y**16*(((y\/y**16*y)\/y)\/y)\/((y**(-2\/21)*y)\/y) assuming y is positive.\nAnswer: y**(-7160\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, -2\/329, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 24*y**2 + 45*y - 75. Let q be t(-19). Calculate the greatest common factor of 210 and q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40290.11734 rounded to 0 dps?\nAnswer: -40290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6977396 is divided by 75?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 593 a factor of 6092108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 9*o - 5*o + 10 = 0, 5*o + 44 = -4*y. Let n be (-2)\/y + 114\/(-234). What is the nearest to 2 in n, -0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 55999*h**2\/2 - 2*h - 1. Let b be t(-2). Round b to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -131176767 - 0.504?\nAnswer: -131176767.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 2*w + q, -2*w + q + 88 = -17. Suppose 0 = -2*b, -w = 6*v - 11*v - 3*b. Solve n + 4*c = 6 + v, -2*n = -c + 13 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 560 - 37*g - 121*g**2 - 238*g**2 - 36*g - 42*g + 114*g wrt g?\nAnswer: -718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213043 is divided by 460.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qp when two letters picked without replacement from ppdpq?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/9)\/1*(-9)\/(-12).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*m + 15. Let x be (-2)\/m + 3412\/20. Let s = x - 6329\/37. Which is greater: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 38\/10 + 7\/35. Suppose s*x - 3*x = 0. Let q be 0 + -1*(-1 + x). Which is smaller: q or -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/34 + 1\/17*-15. Let s(m) = 0 + 2 - 4*m**2 + 7*m - 10*m + 6*m. Calculate s(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/(-4)*(-68)\/(-119). Let b(d) = 6*d + 3. Is 3 a factor of b(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -x**2\/2 - x + 2. Let o(v) be the first derivative of -2*v**2 - v - 9. Let b(n) = -3*a(n) + o(n). Calculate b(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21122 + 48665. What is the ten thousands digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13807589?\nAnswer: 13807589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1980*k + a - 18 = -1976*k, 11 = -3*k + 2*a for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 848 a factor of 400519728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f - 9 = 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = 5 + 67. Is 57 a factor of 862 - d\/6*6\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 773 - 6923\/9. Let y = 733 - -365. What is the common denominator of h and y\/27*2\/12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 8.146521 milliseconds in seconds?\nAnswer: 0.008146521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 + -47. Let l = -22 + p. Differentiate -28*v**l - 15 + 28*v**2 - 25*v**3 wrt v.\nAnswer: -75*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 24\/15*(-5)\/(-6). Solve o + r**4 - 8\/3*r + 17\/3*r**3 - 7\/3*r**2 - 3*r**5 = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbbb when four letters picked without replacement from {f: 7, b: 5}.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000045216 to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -23. What is the fourth biggest value in j, -2, -2\/3, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 16*i - 127. Let h be k(9). Calculate the greatest common divisor of h and 1513.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -137 - -141. Is 17 a factor of (17 - (1 + 3)) + k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 147048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 12002*w**2 - 9481580*w - 2. Give n(790).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-3 + 2) + (-5 - -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 91*w**2 - 30*w + 46. Calculate the remainder when f(2) is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6201329 is divided by 3100632?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50*j**3 + 26*j**3 + 25*j**3 + 3 + 50*j to a*j**2 + f*j**3 + k + i*j and give i.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -184355, -368689, -552995, -737261, -921475, -1105625, -1289699?\nAnswer: -1473685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**6\/120 + n**5\/10 + 5*n**4\/24 + n**3\/6 - 5*n**2\/2 + 4*n. Let t(k) be the first derivative of m(k). Is t(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or 1183.6445?\nAnswer: 1183.6445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4 = -0. Let i be 31 + (-3 + 1)\/(-2). Let u = 45 - i. Calculate the remainder when u is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3877 is divided by 241?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 23*d + 105. Let x(f) = 13*f + 60. Let y(p) = 7*x(p) - 4*z(p). Let w = -4 + 3. Let t(m) = m - 4. Give w*t(g) - 2*y(g).\nAnswer: g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -14894 at least as big as -14897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a + 3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 12:43 PM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + j = -19, 0 = 3*f - 4*j + 4 - 29. Find the second derivative of z**4 + 5*z**3 - 4*z**3 + 4*z - z**f wrt z.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*k)*((0 + 0 - 2*k)*(-k + 3 - 3) - 78*k**2 + 33*k**2 + 34*k**2) - k**3 - 11 + 11.\nAnswer: 17*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334146166.\nAnswer: 2, 61, 397, 6899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (48\/10 + -3)*-5. Let c(l) = -l**3 - 10*l**2 - 10*l - 3. Let j be c(v). What is j rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 6*o**2 - 4*o + 1. Let z be j(5). Let w(v) = v**3 - 6*v**2 + v - 2. Let m be w(z). Let k = -267 - -265. Sort 1, m, k, -3 in descending order.\nAnswer: m, 1, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) -4 (c) -0.01 (d) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -u + 2*u - 1, 3*u = -2*s - 11 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = 6*g + 7, 5*o = -98816*g + 98817*g - 81 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1188348 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23135.\nAnswer: 5, 7, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millennium in months?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 57*b**2 - 4*b + 3. Let h(n) = -n + 4. Let g be h(3). What is the tens digit of m(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000005859 to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1402, 717, 2862, 5033, 7230, 9453?\n\"Answer: 13*p**2 + 2080*p - 3495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2 + 5)*(-6*o - 4*o - 3*o) - 5*o + 3*o + 4*o as p*o + b and give p.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 + 16995*z + 6*z**3 - 16930*z + 22 to l*z**3 + q + a*z**2 + t*z and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (7 - 8) + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.44 and -670994.\nAnswer: 3650207.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 20*s**2 + 43*s + 13. Give d(22).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -2\/15*h**5 + 0*h**3 + 0 - 20*h**2 + 0*h**4 + 0*h - 1\/15*h**6 + 1\/35*h**7. Factor g(s).\nAnswer: 2*s**2*(s - 2)*(3*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -251, 3, 0, 5, -7 in decreasing order.\nAnswer: 5, 3, 0, -1, -7, -251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -2*h**3 + 29*h**2 + 16*h - 29*h**2. Let w(s) = -2*s**2. What is w(j(r))?\nAnswer: -288*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = 13*z - 9. Let q be 6\/z*132\/(-8). Let v = 7 - q. Is v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*k = 150*k + k + 16 - 284 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 divided by 10.\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55\/(-11))\/((-21)\/(-42))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 31394372 to the power of 1\/4, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1\/6, 0.01, -57, -2, 27\/5?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 10*f - 1092. Let c(h) = -2*h + 218. Determine -11*c(y) - 2*z(y).\nAnswer: 2*y - 214","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) 0.2 (c) 36\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 17. Let i be r(15). Suppose -i*f = 7 - 17. Calculate the remainder when 12 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-90 - (2 - (-51 + 102))) + -63.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*g + 2, 0*s = -2*s + 3*g + 7. Let i = 9 - s. Let m be i\/(-30)*(-12)\/8. What is the second biggest value in -2, m, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16603935?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24\/217 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.2302 * 2.\nAnswer: 2.4604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10222221 (base 5) to base 8.\nAnswer: -247660","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 256631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s**2 - 55*s - 23. Let m(v) = 17*v**2 + 166*v + 70. Let w(u) = 4*m(u) + 13*o(u). Let k be w(17). Which is the nearest to 3? (a) k (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -131*i**2 + i**3 - 6*i**3 - 6 - 8*i**3 + 133*i**2 + i**3 as f + v*i + h*i**3 + z*i**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 90409\/66*12\/2. Suppose 4*c = s - 1747. What are the prime factors of c?\nAnswer: 2, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**2 - 25*k**2 + 5*k**2 - 2*k - 3*k**2 + 2*k + (-3*k + 2*k + 2*k)*(0 - 7*k + 0) + (-1 - 2 + 4)*(-k**2 - 2*k**2 + k**2).\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide (11568\/(-28))\/(-3) - 2\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 - u + 2. Give x(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10030 + 3046 = 14*m. Find the third derivative of 11*a**2 - 934 - 111*a**5 + m wrt a.\nAnswer: -6660*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9121.287 days?\nAnswer: 13134653.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 9*k**2 + 7. Let i be l(-9). Let b = 27 + i. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*y)*(7*y + 99*y**2 + 27*y - 98*y**2).\nAnswer: -2*y**3 - 68*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-38 - (-4 - 25)) + 3 + -9?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10806.\nAnswer: 2, 3, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -256188, 7, -0.3?\nAnswer: -256188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/((-42)\/6)*(-2)\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 983092869 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -18*((-163)\/12 - 54\/72). Suppose -2*c - 40 = -l, -4*l + g = c + 80. Does 22 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -100*f + 146. Calculate the lowest common multiple of 2555 and p(0).\nAnswer: 5110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -8601*i**2 - 8*i + 20. Let s be -8 - 4\/6*(-2 + 5). Let x be g(s). What is x rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10\/3 - -3. Suppose z = -z + 4. Let f be (-3)\/6*z\/2. What is the closest to f in s, 2\/11, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7116 and 25788.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 438690*g**2 - 307165.\nAnswer: 877380*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 - 8*t + 11. Let p be n(3). Suppose -d + 8*a - 9*a + 397 = 0, 4*d + p*a - 1588 = 0. What are the prime factors of d?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4204465, -10, 0.5.\nAnswer: -4204465, -10, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 350\/30 - 4\/(-3). Let a(u) = 23*u**2 - 21*u + 23. Is a(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9492, 9117, 8742, 8367?\n\"Answer: -375*f + 9867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/16904309 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23388792 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8152\/5 - -1630. Let q = 1206\/5 + -245. Let h = -143\/35 - q. What is the second smallest value in 3, s, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11601 - 30?\nAnswer: -11631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 - 3308*b + 3304.\nAnswer: 4*(b - 826)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 44*j + 7557634. Let u(x) = -x. What is n(u(k))?\nAnswer: -44*k + 7557634","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 100*y + 45*y**2 - 495*y**3 + 506*y**3 - y**4 - 667*y = 0. What is y?\nAnswer: -7, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 3105.08\nAnswer: -6210.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11060945, 4, 31.\nAnswer: 4, 31, 11060945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 19*c**3\/6 - 82*c**2 - 2*c + 18. Let d be x(9). Solve -4 + d = -3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lltltttltlltt. Give prob of sequence ltt.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/67 at least as big as 42\/589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-416))\/((-5)\/((-210)\/(-9)))?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 8:00 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of d**8\/112 - d**5\/20 + d**2\/2 + d. Let c(y) be the first derivative of j(y). Find the third derivative of c(h) wrt h.\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 4. Is 23 + (-3 - m - 4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 607*i**2 + 2*i + 314700 - 314700 - 2*i.\nAnswer: 607*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22290*f**2*r**3 + 30*f**2*r**2 + 3*f*r**3 + r**3 + 19*r**2 wrt r?\nAnswer: 133740*f**2 + 18*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 76874239 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.7 - 0.7. Let p = -83.9 + 84. Which is the nearest to p? (a) -5 (b) i (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 4*a. Suppose m + 4*m - 20 = a. Suppose -m*c + s + 58 = 0, 3*s - 4*s - 13 = -c. Calculate the greatest common divisor of c and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**3 - 2*p - 4*p + 7*p + 2 in the form u*p**2 + a*p**3 + o*p + q and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 3*d + 97. Is 3 a factor of v(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*t + t + 30. Let f(q) be the second derivative of 1\/30*q**6 + 0*q**2 + t*q + 1\/12*q**4 - 1\/10*q**5 + 0*q**3 + 0. Factor f(d).\nAnswer: d**2*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2, -72, -198, -376, -606, -888, -1222?\n\"Answer: -26*z**2 + 4*z + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3722946772?\nAnswer: 2, 25439, 36587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 410 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -807 + 800.99. Let o = 5.5912 + -0.2912. Let q = o + u. What is q rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 535 and 3943806.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127512 is divided by 1129?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0 + (-3 - 1 - 6)*(-2 - 3 + 6))*(-2*j - 2*j + 2*j)*(3 - 2 + 0).\nAnswer: 22*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 26\/40 + 14\/(-35). Which is smaller: s or -2.1?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**3 - 9995478*t**2 + 9995478*t**2.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b**4 + 3009*b**2 - 10*b - 1815612.\nAnswer: 8*b**3 + 6018*b - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1449*i - 36 = 1452*i. Let n(b) be the second derivative of -7*b**3\/6 + 7*b**2\/2 - b. What is the remainder when n(i) is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5*z**2 + 288*z + 174. Let y be g(-57). Solve -4*b = y*a + 28, 0 = 2*a - 821 + 829 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**5 - 820*y**4 - 87826*y**3 + 88644*y**2 = 0. Calculate y.\nAnswer: -89, 0, 1, 498","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 224422 + -100215?\nAnswer: 124203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -4458.\nAnswer: -4460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5825835 is divided by 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -2092.\nAnswer: -1\/523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 428 and 192.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*i + 9, 2*a - 34 + 6 = -2*i. Let t = -11 + a. Calculate the remainder when 23 is divided by -5*-6*t\/5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*j = 276 + 529. Sort -1, -6, 5, j in descending order.\nAnswer: j, 5, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -2. Let y = 2 + u. Let x = y - -3.2. What is the closest to 2\/7 in 3, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f + 4*f + 3*f + 2*f - 2*f + f + (-3 - 3 + 3)*(-2*f + f + 0*f))*(1 - 1 - 2*f).\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 12*p + 3. Suppose 5 = 2*f + 1. Calculate the lowest common multiple of u(13) and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-5)*-1*(-7)\/(-21).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1070 and 14394.\nAnswer: -15401580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -10*x - 2. What is a(-5)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 1 = 2*c. Let m be (-3 - c)*1\/(-2). What is the units digit of (1 - -2) + (-11)\/m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -121564 - -121567. Suppose 3*n = 4 + 2, -17 = 3*u - 4*n. Which is the closest to -0.1? (a) r (b) 0.8 (c) u (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-6\/13))\/h)**(6\/19)\/(h*h\/(h**(3\/8)*h))**(11\/6) assuming h is positive.\nAnswer: h**(-15313\/11856)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 381981 + -211312. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuquuuqququuuuuuuu. Give prob of sequence quu.\nAnswer: 91\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -31. Let c(p) = -2*p**2 - 7. Let s be c(o). Let j = -22 - s. What is the highest common divisor of 17 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2, 2, 20, 58, 122, 218, 352, 530?\n\"Answer: r**3 + r**2 - 6*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((40\/(-24))\/(70\/(-21)))\/8\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 431924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 5*i = 20, -87*i = 5*b - 92*i + 40 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 37\/5 of a meter?\nAnswer: 740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*t - j - 17, 9 = 3*t - j. Suppose -20 = -5*k, 4*p + 0*p - t*k = 0. Solve p = h + h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 3*l**2 + 9*l - 7. Let m(u) = u**2 + 4*u - 3. Give -7*m(i) + 3*t(i).\nAnswer: 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21a575 (base 11) to base 13.\nAnswer: -c3850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1444, 2617, 4572, 7309?\nAnswer: 10828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16819 - -16819. Which is the nearest to 300? (a) k (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j + 4. Let w(a) = -388*a + 1 + 109*a + 278*a. Give q(n) - 3*w(n).\nAnswer: n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*a - 8*a + 65*a - 15*a.\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 837 and 155340.\nAnswer: 14446620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**4\/8 + 9*y**3\/4 + 57*y**2\/8 - 9*y = 0. Calculate y.\nAnswer: -3, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -73*j**5 + j**2 + 1667*j**4 - 1667*j**4 + (0*j**3 + 0*j**3 - j**3)*(-3*j**2 + 3*j**2 + 2*j**2).\nAnswer: -75*j**5 + j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 - 2. Let o(v) = v**2 + v - 1. Let w(a) = -d(a) - 4*o(a). Factor w(t).\nAnswer: -2*(t - 1)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 1256*i - 2. Is 29 a factor of r(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327866 is divided by 83?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 115991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3119*h**5 + 18*h - 23.\nAnswer: 62380*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11989 - (-12)\/18*54\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttnn. What is prob of sequence ttt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3395 is divided by 1021.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 12, -217.42, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/(-4))\/((-9)\/48). Sort 3, c, 9 in descending order.\nAnswer: 9, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10109671577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand w - 7*w + 4*w + (-16 + 90 - 12 + 0 - 4 + 5 + (-3 + 3 - 3)*(4 + 0 - 3))*(w - w + 2*w).\nAnswer: 118*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l + 4*l - 5*l)*(-5*l + 3 - 3)*(l + 2*l + 0*l + 3*l - 4*l + 2*l + (2*l - l + l)*(3 - 1 + 0)) as j*l**3 + m*l + n*l**2 + v and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*y - 83*y = 100. Does 16 divide y\/(-20)*(-608)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89 - 80. Suppose 0*j**2 - 6*j**3 + 15*j + 7*j**3 + f + 3*j**2 - 4*j**3 = 0. Calculate j.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17581109*g**2 + 35162623*g**2 - 17581514*g**2 + g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163 = 31*b - 442 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, -382, -25, -10.\nAnswer: -382, -25, -10, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1840, -26489, -51140, -75793, -100448, -125105, -149764?\n\"Answer: -i**2 - 24646*i + 22807","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 191 + -191.1. Suppose -6*h + 4*h = -2. Let k be 0\/(-3 + 1 + h). Which is the closest to j? (a) 0.3 (b) -3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.9 + -2. Let x = 304882\/11 + -233231419\/8415. Let i = 1\/153 + x. What is the third smallest value in u, 5, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 4*w**4)*(2*w - 4*w + 0*w) + (-w - 20*w - 15*w)*(w**3 - 2*w**4 - w**3).\nAnswer: 80*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + (-2*sqrt(288))**2) + (sqrt(48)\/sqrt(48))\/(sqrt(200)*2).\nAnswer: -5785 + sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 3, t: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + 18 + (17 - 0 - 31) + 4 + -2.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-2\/69))**(4\/17))**(1\/12) assuming b is positive.\nAnswer: b**(67\/3519)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 - ((0 - (-2 + 17 + -13)) + 11)?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -1408, -5046, -12138, -23836, -41292, -65658?\nAnswer: -98086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + ((-4)\/2272)\/(9\/15572). Let x = 2\/213 - g. Let j = 60190 + -3370729\/56. Calculate the common denominator of j and x.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.8 (b) 2\/3 (c) -359 (d) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 333578951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of l**6\/6 + 64*l**3\/3 - l**2\/2 - 204*l - 369. What is the second derivative of f(y) wrt y?\nAnswer: 20*y**3 + 128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8571 - 2236 = -1450*f + 799*f + 758*f for f.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/17 + 21776*t**2\/17 - 59296042*t\/17 + 118504996\/17.\nAnswer: -2*(t - 5443)**2*(t - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.2 (b) 83.1 (c) -5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11702170 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((0 + sqrt(1377) - sqrt(1377)) + -4 + -3)**2 - ((-5 + sqrt(1377) + 1 + sqrt(1377) - (1 + sqrt(1377)*-1))*-3)**2.\nAnswer: -111717 + 2430*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 220 - 163. Let x = 1 - 3. Let b be (-1)\/(-2)*x*-19. Calculate the greatest common factor of u and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057 a factor of 22248793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12001, -11998, -11995, -11992, -11989, -11986?\nAnswer: -11983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 5147*y = -5152*y + 78, -2*y = p - 33 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -25, 37 = -t - 649*m + 641*m for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 15*r**3 + 6*r**2 - 19*r + 6. Let b(p) = 46*p**3 + 17*p**2 - 59*p + 17. Determine -6*b(t) + 17*d(t).\nAnswer: -21*t**3 + 31*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 11:21 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17415375 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 12*p**2 - 15*p - 2. Let s be u(-13). Let j be 13\/(-8) + s\/16. Which is the smallest value? (a) j (b) -3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/19029 and -64\/95145?\nAnswer: 95145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*(-7)\/(-63))\/((-170)\/14025)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-140)\/(-455) + (-6840)\/(-1092))*(-1 + 0).\nAnswer: -46\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14033179\/132 + -106313. Find the common denominator of c and 74\/27.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-10\/9))\/(a*a**(-18)))**46 assuming a is positive.\nAnswer: a**(6992\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**3 - 2*j**2 + 2*j + 4. Let t be s(2). Suppose 15*b - t*b = -33. Which is bigger: b or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-44)*h*h*h\/(h**(-38)\/h))\/(h**(-1\/43)\/h)**16 assuming h is positive.\nAnswer: h**(4445\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163489?\nAnswer: 17, 59, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + 6*a - 4. Let l(u) = 6*u**2 + 17*u - 11. Let n(t) = 11*k(t) - 4*l(t). Find b such that n(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 21*p - 11. Let v(i) = -41*i + 22. Let g(d) = -6*v(d) - 11*x(d). Let q(h) = -7*h + 5. Let l = 29 - 16. What is l*q(z) + 6*g(z)?\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -61638, -123274, -184910, -246546, -308182?\n\"Answer: -61636*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1520860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from axacxacx.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/213960 and -79\/12602244.\nAnswer: 126022440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 102 = -3*l, -x + 2*l = -10 - 0. Suppose 21*a + 21 = x*a. Let c(j) = -4*j - 8. What is c(a)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a millennium in years?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17700268 less than 34.299?\nAnswer: 17700302.299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/210 + (-1 - 24\/(-14)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3595 divide 210619582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110091?\nAnswer: 3, 36697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-192)\/40*(-7)\/((-63)\/30).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.050715501 to 5 dps.\nAnswer: -0.05072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 105057 and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100111001011 (base 2) to base 14.\nAnswer: 6c55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -676*o**4 + 30*o - 21*o - 69*o**2 - 10*o - 7*o wrt o?\nAnswer: -16224*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1031288 - 1461334956\/1417. Let s = z - -6\/109. Let n = 9 - 5. What is the second biggest value in s, -0.4, 0.16, n?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 3527 - 637. Suppose j*v = 569*v + 166653. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/(-10)*1\/(6\/32). Let o = 51 + l. What is the greatest common factor of 473 and o?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 + 5)*(1 - 1 - 3*x)*(0 + 0 - 1).\nAnswer: 30*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -200, 16\/5, 1\/3 in descending order.\nAnswer: 16\/5, 1\/3, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 10*q**2 + 13*q - 1. Let n = 17 - 8. What are the prime factors of a(n)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i + 206. Does 4 divide q(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -19*h**2\/2 - 5*h - 2. Is 10 a factor of b(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1138, -9103, -30694, -72715, -141970, -245263, -389398, -581179?\nAnswer: -827410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.4 - -1.5. Is 1 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 - 12*n - 4. Let z(t) = 6*t**2 + 35*t + 12. Let g(s) = 8*m(s) + 3*z(s). Is 2 a factor of g(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 859.23 to the nearest ten.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*w = 306, -39*w = 3*p - 38*w - 885. Calculate the greatest common divisor of 10 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*s - 376 = -516 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (104\/(-52))\/(2\/(-3)) + -4 + (-399)\/(-413)\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of 21*f**4\/4 - 5*f**3\/6 + 3*f**2 + 18*f. What are the prime factors of z(2)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7209 is divided by 66?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 4. Let a(r) be the third derivative of 5*r**4\/24 + 2*r**3\/3 + 3*r**2. Let k(n) = -11*n - 8. Let p(x) = 9*a(x) + 4*k(x). What is p(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 2:41 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1732.48724 to 1 dp.\nAnswer: 1732.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a + 88*a - 268 = 22 + 546 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -k + 2*l, l - 4*l = 4*k - 227. Is 25 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m = 32*m + 30*m + 18*m + 1020 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*i - 84 = -205 - 446 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15503 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -48486, -96563, -144236, -191505, -238370?\n\"Answer: 202*n**2 - 48683*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y + 17. Suppose -2*k = -5*a + 26, 3*k - 4*a + 46 = -0. Let r be j(k). Let f = r + -49. Solve -2*b + 0*b + n = 4, -2*n - f = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1358, -1, -4348, -3 in descending order.\nAnswer: -1, -3, -1358, -4348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6429.76, 4, -22.\nAnswer: -22, -1, 4, 6429.76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 17*d - 90 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -572 and -565 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 - 55*p + 5. Give o(-21).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 671*o - 335*o + 4*o**3 - 336*o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-45)*-3*(-55)\/(-66)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/16*-10)\/(5\/(-4)). Suppose z*d - a = d, -3*d + 12 = 3*a. Solve -4 = -x + d*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28*c**6 + 100*c**5 + 14*c**2 - 45*c + 6 wrt c?\nAnswer: 3360*c**3 + 6000*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2 - 3*v + 3. Let w(u) = 5*u - 145. Let o be w(30). Let x(q) = -5*q**2 - 5*q + 5. Determine o*m(k) - 3*x(k).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*m - 40*m - 82*m)*(3 - 4 + 3 + 2)*(-m**2 - m + m).\nAnswer: 336*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4947924878*k - 30*k**3 - 9895849751*k + 4947924875*k.\nAnswer: -30*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.3 or 6\/91339?\nAnswer: 6\/91339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - r**2 + r - 4. Let s be j(2). Suppose 0 = s*f - 195 + 25. Is 17 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (255 - 24 + 438)*(-5*h - 19 + 19).\nAnswer: -3345*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + m. Let z(c) be the third derivative of -c**6\/15 - c**4\/8 - 7999*c**2. What is 3*r(q) + z(q)?\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 = -4*p - 55, 5*h - 3*p - 9223 = 0. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b**2. Let q(x) be the second derivative of 167*x**3\/3 - 59*x + 17. Give q(r(o)).\nAnswer: 1336*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1611 + -836. Is u\/7 + (-12)\/(-42) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 330*f**2 + 72*f - 9*f + 342*f**2 - 60 - 675*f**2 = 0?\nAnswer: 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3\/11 - 360772*q**2\/11 + 16269915264*q\/11 - 32538387456\/11 = 0. Calculate q.\nAnswer: 2, 90192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(9\/(-15)) - (-4)\/(-2). Solve -l + 0 = -t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 20680960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 135 + -139. List the prime factors of 490 + (-4 - (-6 - p)).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -908*g + 19*g**3 + 908*g - 5*g**3.\nAnswer: 14*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2 + 26*g**3 - 1 + g - g**4 - 29*g**3 in the form t*g**2 + n*g**4 + c*g + x*g**3 + y and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5727339, -5727336, -5727331, -5727324, -5727315, -5727304, -5727291?\nAnswer: -5727276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 629*p**2 - 22*p - 42. Is t(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/50016 and 101\/2592.\nAnswer: 1350432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3050*q**2 + 4*q + 63276?\nAnswer: -6100*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 3*u**2 + 3*u - 2. Let g be s(-4). Let x = 118 + -114. Which is the third biggest value? (a) g (b) 1\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*v = -11*v - 16492. Is v >= 191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*x**3 - 80*x**3 + 15*x**3.\nAnswer: -29*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**2 + 7*n - 6. Let v(f) = -8*f**2 - 15*f + 13. Let t(q) = -13*c(q) - 6*v(q). Find the second derivative of t(m) wrt m.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**4 + 3*w**4 - 2*w**4 + (-w - w + 0*w)*(2*w**3 - 4*w**3 + 3*w**3) + w**4 + 2*w**4 + 0*w**4.\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4\/1482*8554\/1316\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) -919953 (c) -1 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 8 = -4*z, -5*z = -3*x + 28. Calculate the least common multiple of x and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vz when two letters picked without replacement from {z: 5, q: 5, v: 1, a: 8}.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*1)\/(sqrt(4) - (sqrt(484)*1 + sqrt(4))).\nAnswer: -3*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 4*a - 1. Let v be z(5). Suppose 196*h + 12 = 202*h. Solve -v*p = -2*p + h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 - ((-13 - (-8 - (3 - -3))) + 7).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11420 + -9674. Calculate the lowest common multiple of 96 and k.\nAnswer: 27936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 7 = 4*h + 20, -4*m = 3*h. Solve 5*w - f = 2*w + 6, w - 2*f + m = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 28791*r - 20. Let b(z) = -105*z. Determine b(h(w)).\nAnswer: -3023055*w + 2100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 + -8. Suppose 5*m + 8 = z*o - 7, 4*m = 5*o - 12. Differentiate 2 - 45*j - 4*j**2 + 45*j + o*j**2 wrt j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16206.\nAnswer: 2, 3, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -cb + -89?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -1 - 10) + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from jjuuuuuuzujuj?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000040973127 rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/((-34580)\/(-42)))\/((4\/(-18))\/((-120)\/405)).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 25*n = 112. Solve -2*h + n = 22 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19027517 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 - 0. Let n = -74 - -74.2. Let r = -8.9 - -9. Which is the nearest to r? (a) f (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32363*i**3*r**2 - 3096*i**3*r - 2*r**2 - 63*r - 1065019 with respect to i.\nAnswer: -97089*i**2*r**2 - 9288*i**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1942? (a) 4 (b) -2\/5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -60*o**5 + 2199*o**4 - 1350*o**3 - 1983*o**2 + 1410*o - 216 = 0.\nAnswer: -1, 1\/4, 2\/5, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-304)\/(-38) - (-353 + (-5 - -3)). Calculate the highest common divisor of 231 and c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 305 - 287. Solve -50*w + 44*w = b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -8*t**2 - 2 - 3 + 9*t**2 - t + 2*t. Let u be z(-4). Let k(g) = g**2 - 4*g - 9. What is the remainder when 21 is divided by k(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22234 - 66*k**5 - 22234 + (k**4 + 0*k + 0*k)*(-4*k + k + 2*k).\nAnswer: -67*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8722.728 weeks?\nAnswer: 1465418.304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6511959 days to minutes.\nAnswer: 937.722096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**4 + 44312*c**3 - 517*c + 51?\nAnswer: 12*c**2 + 265872*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(17) + sqrt(34)\/sqrt(2) + 1*sqrt(1377))*-4 + -4)**2.\nAnswer: 704*sqrt(17) + 32976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/6231 and -26\/3819?\nAnswer: 118389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - -0.25. Suppose 3*p + 17*p + 665*p + 55*p = 0. Which is the nearest to p? (a) 4 (b) 0.5 (c) -1\/5 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -5*j**7\/42 + 6*j**5 + 80*j**4\/3 + 40*j**3 + j + 157. Determine h, given that l(h) = 0.\nAnswer: -2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - 4*n**2 - 2*n + 2. Let b be -25*(-1 - 0)*(-8)\/20. Let l = b + -4. Let u = l + 18. Determine c(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 27 - 7. Let f be q*(0\/3 + (-5)\/4). Suppose 4*s + 10 = -f*j, -j + 2*s = -4*j - 4. Solve -j*m = -0*m - 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 8:05 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of v**6\/40 + 3*v**5\/10 + 3*v**4\/8 - 5*v**3 - 69*v**2 - 2*v. Factor n(c).\nAnswer: 3*(c - 1)*(c + 2)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/6 - 1\/(-3). Let q(g) = -g + 3. Let w(c) = 5*c - 16. Let v(a) = -11*q(a) - 2*w(a). Determine v(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2160\/(-15552))\/(-4*(-55)\/132)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -6. Solve -20*w**2 + 20*w**4 - 5*w + 0*w**g + 2*w**3 + 3*w**3 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.58+-142\nAnswer: -141.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((26\/65)\/((-2)\/(-5)))\/(75 + 632\/158).\nAnswer: 1\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**3\/6 - 2*y. Let d(w) be the second derivative of 1\/12*w**4 - 2*w + 0 + 0*w**3 + 0*w**2. Give s(d(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j. Let r(b) be the third derivative of -b**6\/120 + 3*b**5\/40 + 53*b**3\/6 - 75*b**2. Let l(s) be the first derivative of r(s). Give l(u(o)).\nAnswer: -3*o**2 - 9*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 424312101?\nAnswer: -424312042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -10*m + 14. Give y(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -1. Let p(v) = -21*v + 3. Calculate -p(o) - 4*u(o).\nAnswer: 21*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 228a?\nAnswer: -228b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*(2*sqrt(1216) + -3) + (1*sqrt(1216)*6 - sqrt(1216) - (3 + (sqrt(1216) - (sqrt(1216) + 1))))**2.\nAnswer: -176*sqrt(19) + 30402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2941*o + 3*o**3 + 23*o**2 + 4 - 5883*o - 18*o**4 + 2941*o - 2 in the form z*o**4 + q*o + u*o**2 + a*o**3 + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, l: 2, v: 1, o: 1, q: 2}. Give prob of sequence okq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 426 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9.236454 micrograms?\nAnswer: 0.000000000009236454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 2)*(-5*a**2 + 4*a**2 - a**2) + 3*a**2 + a**2 - 5*a**2 + 21*a**2 - 12 - 20*a**2 - 1.\nAnswer: 4*a**2 - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 64\/(-8) - (-24)\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kke when three letters picked without replacement from {e: 5, t: 7, n: 3, k: 4}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 6*m - 3. Let j be b(7). Let q = -14 + 24. Suppose -q = j*x - 66. Calculate the least common multiple of x and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 581*s - 328. Calculate the remainder when f(7) is divided by 156.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2059 + -873. Suppose -4*x + 442 = -2*d - w, 2*x - 814 = -d. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 943168 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -49296 divided by -3?\nAnswer: 16432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 0.61 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a minute in milliseconds?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12616, 30046, 47464, 64864, 82240, 99586, 116896, 134164?\nAnswer: 151384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -9. What is the third biggest value in p, -2, 1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000581 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.033*-208\nAnswer: -6.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 822 by 6.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-200 + 217 - 166)*(0 - 2 + 3)*(-t**2 + t**2 + 2*t**4).\nAnswer: -298*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 618153060 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/8 - ((-2)\/(-1) - 2). Suppose -5*r - 10 = -5*w, -2*w + 5*r - 2*r + 4 = n. What is the first derivative of -16*m**3 - w*m**3 + 11 + 5 + 15 wrt m?\nAnswer: -54*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 353 divide 11754547?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 10:43 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -399 or -1991\/5?\nAnswer: -399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99132 is divided by 1209.\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 6 = -5*a + 22, 0 = 5*u + 10. Let w be (9\/a)\/(6\/20). Find s, given that 0*s**3 - 5*s**3 + 4*s**3 - 3*s**w + 4*s**4 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 - 3*r**3 - r**3)*(-11*r + 2 + 5*r - 6*r).\nAnswer: 36*r**4 - 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2 + 2349*h + 44270 = 0. Calculate h.\nAnswer: -2330, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(2\/5)*n**(-1\/3)\/n)\/(n**7*n**(-4)*n)*n**(3\/7)*n\/(n**4*n*n)*n**(-2\/17)\/(n*n**9\/n) assuming n is positive.\nAnswer: n**(-31456\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -877789732*f**3 + 2560561*f**2 wrt f.\nAnswer: -5266738392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from duduuuvduuuuuuuuuuuu. What is prob of sequence uddd?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1669, -1987, -2515, -3253, -4201?\nAnswer: -5359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 15102.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - -32 - (-10 - (-3 + -12) - 37).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/8668 + -8661\/60676. What is the nearest to 1 in b, 4\/3, 4\/9, 0.39?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 3*g**2 - g - 1. Let l be p(-3). Let a be -6 + 19 + -3 + l. Solve 5*y = 5*q - a + 42, -3*q - 5*y + 14 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(0 - -3) - -35. Let v = d + -196\/5. Put -0.4, v, 4 in descending order.\nAnswer: 4, v, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(1\/10)))**(-1)*(a**2)**(-37) assuming a is positive.\nAnswer: a**(-741\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009746348573 rounded to 7 dps?\nAnswer: 0.0000975","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (44\/(-6) + 8)*3. Find the third derivative of -o + 44683*o**k - 44695*o**2 - 4*o**4 + 134*o**6 + 4*o**4 wrt o.\nAnswer: 16080*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9433110 - -9433189.99801. Let g = 7 + -87. Let d = g + n. What is d rounded to four decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-88)\/(-198))\/((-20)\/(-45)*-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63036 is divided by 169.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12064 and 17719.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 14*f - 8*f = 0. Suppose -16 = -4*n, 4*s + n - 456 = -f*s. Calculate the remainder when s is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 0. Let t = -4 + i. Let q = t + -4. Are q and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 9439\/5 (c) -0.1 (d) 1\/57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 0*u**3 + u + 0*u**2 - 1\/42*u**7 - 3\/20*u**5 + 0 - 1\/12*u**4 - 1\/10*u**6. Factor g(k).\nAnswer: -k**2*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/308 and 49\/4180.\nAnswer: 29260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47 - -7) + (16 - 2 - 33) + 39.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t**3 - 5*t - 767*t**2 + 767*t**2)*((4 - 3 - 2)*(-4 + 2 + 0) - 3 + 2 + 4)*(2*t - 2*t + 2*t).\nAnswer: 60*t**4 - 50*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 747935 is divided by 942.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.886459 to 3 decimal places.\nAnswer: 0.886","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 - -65. Let f = -73423 + 73426.99948. Let m = f - g. Round m to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.07 - -25363959.\nAnswer: 25363955.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/20 and 88\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/7, -2\/9, -1\/3, 1\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 53*o - 29*o - 26*o - 4*o**4 + 4*o**2 in the form a*o**3 + g*o + x + m*o**2 + j*o**4 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r**3 - 123*r**2 + 34*r + 97. Determine t(-31).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 778 a factor of 31059316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4 + 1 + 4*u + 14*u**3 - 6*u + 4. Is 6 a factor of t(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 940*k + 847*k - 1696*k to the form r*k + d and give r.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -331, -338, -349, -364, -383, -406?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38756.8 or 241?\nAnswer: 38756.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/247145 and 13\/346003.\nAnswer: 1730015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 192 and 832?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*o + 222 + 90. Suppose -3*j + 9 = z - 4*z, -4*z = 2*j - 18. Suppose 11*n = -z*n + o. Solve -n*t = -0*t + 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -103048*z**2 - 103050*z**2 - 1407*z + 206096*z**2 + (-4*z + 3*z - z)*(-z - 4*z + 6*z) + 2 - 2 + z**2 as h + f*z**2 + q*z and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 81, 3, 4.\nAnswer: 0, 2, 3, 4, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 12:44 PM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41972 = -0*l + 4*l. Suppose 3 = 3*p - 0*p, 5*q = 2*p + l. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*(21\/6)\/(-7). Let l(a) = -a**2 + 4*a + 2. Let h be l(0). Solve r = -6*s + h*s + 8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a**2 + 6*a - 6. Let l be y(1). Solve 2*b - 2*m = 6, 2*b = l*m + 22 - 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 189 + -188.28. Let x = 0.22 - i. Which is the nearest to 0.1? (a) 2\/7 (b) x (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 14 = -2*p - 7*a, 0 = p - 4*a - 18. Is p > 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/2)\/u**2*u**(-1\/3)\/u*u*u\/(u\/(u*u**(2\/3)\/u))*u assuming u is positive.\nAnswer: u**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*k**2 + 2*k**2 + 2*k**2)*(2 - 5 - 3 + (0 + 2 + 0)*(-3 + 5 - 3) + 0 + 5 - 4)*(-5 - 1 + 5 + k) as d*k**2 + u*k + j*k**3 + f and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 136644561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*(g\/(((g\/g**31)\/g)\/g))\/g)\/(g*((g*g**12)\/g)\/g)*g**(-2\/7)\/g**(-16))**(-6\/7) assuming g is positive.\nAnswer: g**(-1584\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**4 + 3*x**3 - 3*x**3)*(3 - 3 - 2*x) + (46 - 46 - 6*x**2)*(31*x**3 - 16*x**3 - 22*x**3).\nAnswer: 38*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -58*u**3 + 12*u**2 - 20*u + 10. Let t(s) = s**3 - s**2 - s - 1. Let b(r) = -i(r) - 12*t(r). Find the second derivative of b(q) wrt q.\nAnswer: 276*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -18 - (-117)\/13 - -14. Which is the closest to 2? (a) m (b) 0.2 (c) 2\/65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5992\/70 + 4\/10. Suppose -p*r + 85*r = -10. What is the least common multiple of 211 and r?\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173161754 a multiple of 613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 5\/24*j**4 + 1\/60*j**5 + 0*j - 45*j**2 + 0 - 2\/3*j**3. Give w(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(1050\/20)*6\/(-380)?\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -16*j + 1. What is l(4)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2241*m + 109652. What is s(49)?\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420068350 is divided by 8184?\nAnswer: 8182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 6:14 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 2)*(0 - v + 0) + 1 - 1 + 2*v - v + 4*v - 4*v - 10 + 2*v - 16 - 3*v to the form x*v + o and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.16939 take away -61.49225?\nAnswer: 24.32286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + -4*(-4*(sqrt(171) + -4))**2)*-3.\nAnswer: -4608*sqrt(19) + 35901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 174804 to the power of 1\/2, to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 22 = -2*o, -2*o - 28 = -6*o + 4*h. What are the prime factors of (1\/o)\/(4\/40)*276?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 76. Let h = g + 41. What is the smallest value in 3, -1, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c**2 - 2*c**2 - 2*c**2)*(1987 - 665 - 656 + 9877*c - 666) as o*c + a + k*c**2 + b*c**3 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 6. Let k = 4.1 - f. Which is smaller: 1\/6 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}